log8 2 + 3log8 2 + 1/2log8 16
step by step pls
Answers
Answer:
2
Step-by-step explanation:
Given expression:
\(\log_82+3\log_82+\dfrac{1}{2}\log_816\)
\(\textsf{Apply the Power law}: \quad n\log_ax=\log_ax^n\)
\(\implies \log_82+\log_82^3+\log_816^{\frac{1}{2}\)
Simplify:
\(\implies \log_82+\log_88+\log_84\)
\(\textsf{Apply the Product law}: \quad \log_ax + \log_ay=\log_axy\)
\(\implies \log_88+\log_8(2 \cdot 4)\)
\(\implies \log_88+\log_88\)
\(\implies 2\log_88\)
\(\textsf{Apply log law}: \quad \log_aa=1\)
\(\implies 2 \cdot 1\)
\(\implies 2\)
please look above for your answer .
Related Questions
A shop has a sale of 30% off all items in stock. If the original price of a dress is £40 what would be its sale price?
Answers
Answer:
Step-by-step explanWhat i usually do for these problems is because pecent is out of 100, just subtract the percent from 100 percent and multiply that ammount to the original price, so 40 * (100%-30%)= 40 * 70% or 40 * 0.7, so the answer would be 28
find the measure of the indicated angle to the nearest degree
Answers
Answer:
28°
Step-by-step explanation:
sin ? = 19/41
? = arcsin (19/41)
? = 28° (rounded to the nearest degree)
Answered by GAUTHMATH
imagine that we rolled a fair, six-sided die 1,000 times. out of 1,000 rolls, how many times do you think the die would come up even (2, 4, or 6)?
Answers
Probability of Number of outcome is an even in likely situation is given as 512
Given that;
Number of time die roll = 1,000
Find:
Probability of Number of outcome is an even
Computation:
Probability of an even = 3 / 6
Probability of an even = 1 / 2
Probability of Number of outcome is an even = [Probability of an even]1000
Probability of Number of outcome is an even = [1/2]1000
Probability of Number of outcome is an even = 500
So most likely outcome is 512
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How long will it take for a $4000 investment to grow to $5780 at an annual rate of 4%, compounded quarterly? Assume that no withdrawals are made. Do not round any intermediate computations, and round your answer to the nearest hundredths.
Answers
The working equation when dealing with problems regarding compounded interest is
\(A=P(1+\frac{r}{n})^{nt}\)where A is the future value, P is the principal value, r is the annual rate, and n is the number of compounding periods.
The problem compounds quarterly, hence, we have n = 4.
We derive the working equation to solve for t, as follows:
\(\begin{gathered} \frac{A}{P}=(1+\frac{r}{n})^{nt} \\ \ln (\frac{A}{P})=\ln ((1+\frac{r}{n})^{nt}) \\ nt\ln ((1+\frac{r}{n}))=\ln (\frac{A}{P}) \\ t=\frac{\ln (\frac{A}{P})}{n\ln ((1+\frac{r}{n}))} \end{gathered}\)Substitute the values of A, P, n, and r on the derived equation above and solve for t, we get
\(\begin{gathered} t=\frac{\ln (\frac{5780}{4000})}{4(\ln (1+\frac{0.04}{4}))} \\ t=\frac{\ln (1.445)}{4(\ln (1.01))} \\ t=\frac{0.368}{4(0.00995)} \\ t\approx9.25 \end{gathered}\)Therefore, the $4000 investment grows to $5780 in 9.25 years.
How is solving for speed similar to solving for time?
Answers
Answer:
Rate and speed are similar since they both represent some distance per unit time like miles per hour or kilometers per hour.... To solve for time use the formula for time, t = d/s which means time equals distance divided by speed.
Answer:
In my opinion solving for speed is similar to solving for time because when trying to do both of those you want to have a certain amount of time left for instance solving for speed I could Say "oh I want to solve this math question fast!"
Solving it fast will mean I have time left to do something else same with solving for time
"I want to solve this math question for time!" Meaning I want to solve it fast enough to have time left Hopefully this is what you want in an answer! I'm sorry if this isn't what you want
The position of an object in circular motion is modeled by the parametric equations x = 5 sin(26) y = 5 cos(20) where t is measured in seconds.
Describe the path of the object by stating the radius of the circle, the position at time t = 0, the orientation of motion (clockwise or counterclockwise), and the time t it takes to complete one revolution around the circle.
Answers
The gcd(26, 20) is 2, so the least common multiple of the periods is 2π / (2) = π. Therefore, it takes π seconds for the object to complete one revolution around the circle.
The position of an object in circular motion is modeled by the parametric equations x = 5 sin(26t) and y = 5 cos(20t), where t is measured in seconds. The path of the object can be described by stating the radius of the circle, the position at time t = 0, the orientation of motion, and the time t it takes to complete one revolution around the circle.
The radius of the circle can be determined from the coefficients of the sine and cosine functions, which are both 5. Therefore, the radius of the circle is 5 units.
At time t = 0, the position of the object can be found by plugging t = 0 into the parametric equations. This gives x = 5 sin(0) = 0 and y = 5 cos(0) = 5. Thus, the position of the object at t = 0 is (0, 5).
To determine the orientation of the motion (clockwise or counterclockwise), note that when t increases, x increases (since sine is positive in the first and second quadrants) while y decreases (since cosine is positive in the first and fourth quadrants). Therefore, the object moves in a clockwise direction.
To find the time it takes to complete one revolution around the circle, we need to consider the period of the trigonometric functions. The period of sine and cosine functions is 2π divided by the coefficient of t. In this case, the periods for x and y are 2π/26 and 2π/20, respectively.
Since the object's motion is described by both x and y, we need to find the least common multiple of these periods, which is 2π / gcd(26, 20). The gcd(26, 20) is 2, so the least common multiple of the periods is 2π / (2) = π. Therefore, it takes π seconds for the object to complete one revolution around the circle.
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Solve the following system of linear equations ( Step-by-step)(Tell me, what is x,y,z):
2x - 3y + 6z = -12
5x + 2y - 8z = 29
7x + 6y + 4z = 49
Answers
The solution to the linear system of equation is x = 3, y = 5, and z = -0.5
What is a linear system of equation?A system of linear equations is a set of linear equations that involve the same variable and which work or are operated (simultaneously) together
The system of linear equation is presented as follows;
2·x - 3·y + 6·z = -12...(1)
5·x + 2·y - 8·z = 29...(2)
7·x + 6·y + 4·z = 49...(3)
Multiplying equation (1) by 5 and equation (2) by 2, we get;
5 × Equation (1) ⇒ 10·x - 15·y + 30·z = -60...(4)
2 × Equation (2) ⇒ 10·x + 4·y - 16·z = 58...(5)
Subtract equation (4) from equation (5), to get;
10·x - 10·x + 4·y - (-15·y) - 16·y - 30·z = 58 - (-60) = 118
19·y - 46·z = 118...(6)
Multiplying equation (1) by 7 and equation (3) by 2, we get;
7 × Equation (1) ⇒ 14·x - 21·y + 42·z = -84...(7)
2 × Equation (3) ⇒ 14·x + 12·y + 8·z = 98...(8)
Subtracting equation (7) from equation (8), we get;
14·x - 14·x + 12·y - (-21·y) + 8·z - 42·z = 98 - (-84) = 182
33·y - 34·z = 182...(9)
Multiplying equation (6) by 33 and equation (9) by 19, we get;
627·y - 1,518·z = 3,894...(10)
627·y - 646·z = 3,458...(11)
Subtracting equation (10) from equation (11), we get;
627·y - 627·y -646·z - (-1,518·z) = 3,458 - 3,894 = -436
872·z = -436
z = -436 ÷ 872 = -0.5
z = -0.5
From equation (6), we have;
19·y - 46·z = 118
19·y - 46 × (-0.5) = 118
19·y - 46 × (-0.5) = 118
19·y = 118 + 46 × (-0.5) = 95
y = 95 ÷ 19 = 5
y = 5
From equation (1), we get;
2·x - 3·y + 6·z = -12
2·x - 3 × 5 + 6 × (-0.5) = -12
2·x = -12 + 3 × 5 - 6 × (-0.5) = 6
x = 6 ÷ 2 = 3
x = 3
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the sum of the three segments is 136 cm. The first and second are respectively four times and three times the third. Calculate the size of the segments
Answers
Answer:
1st segment = 68 cm
2nd segment = 51 cm
3rd segment = 17 cm
Step-by-step explanation:
First, identify the expression for each segment. Let x = the length of the 3rd segment.
1st segment: 4x
2nd segment: 3x
3rd segment: x
Next, we need to solve for x so we can substitute it into each expression and solve for each segment length. To do so, we need to utilize the segment addition postulate.
⭐What is the segment addition postulate?
the sum of the partial segments make up the whole segmentMake the equation as per the segment addition postulate.
4x + 3x + x = 136
8x = 136 . . . . . . add like terms (terms with the same variable)
x = 17 . . . . . . . . divide both sides by 8 to isolate the x variable
Finally, substitute x into each segment expression to solve for their lengths.
1st segment: 4x
1st segment: 68 cm
2nd segment: 3x
2nd segment: 51 cm
3rd segment: x
3rd segment: 17 cm
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Which equation can be represented on a number line A. 1+ (-6) = - 5 B. -5 + (-1) = - 6 C. -5 + 6 = 1 D. -6 + 5 = - 1
Answers
The equation that can be represented on a number line is D. -6 + 5 = -1.
What is Linear equation ?
Linear equation can be defined as equation in which highest degree is one.
To represent this equation on a number line, we can start at -6 and then move 5 units to the right to reach -1. So, on the number line, we would mark -6 as the starting point, then mark a point 5 units to the right of -6, and label that point as -1.
For the other options, A. 1 + (-6) = -5 and B. -5 + (-1) = -6 cannot be represented on a number line because they involve addition and subtraction of positive and negative numbers that do not result in an integer.
C. -5 + 6 = 1 can be represented on a number line by starting at -5 and moving 6 units to the right to reach 1, but it is not an equation like the others since it only involves addition.
Therefore, The equation that can be represented on a number line is D. -6 + 5 = -1.
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Lisa took a survey of her classmates' favorite sport and recorded their genders. The results are in the table below:
Answers
Answer:
0.5 is the answer of this question
bro!
SALES Cars and trucks are the most popular vehicles. Last year, the number of cars sold was 39,000 more than three times the number of trucks sold. There were 216,000 cars sold last year. Write an equation that can be used to find the number of trucks, t, sold last year.
Answers
Given :
Miki has 104 nickels and 88 dimes. She wants to divide her coins into groups where each group has the same number of nickels and the same number of dimes.
There were 216,000 cars sold last year.
To Find :
Equation that can be used to find the number of trucks, t, sold last year.
Solution :
Let , number of truck sold is t and number of car sold is c.
It is given that the number of cars sold was 39,000 more than three times the number of trucks sold.
So ,
\(c=3t+39000\\\\t=\dfrac{c-39000}{3}\)
Putting value of c = 216000 in above equation , we get :
\(t=\dfrac{c-39000}{3}\\\\t=\dfrac{216000-39000}{3}\\\\t=59000\)
Hence , this is the required solution .
An equation is formed of two equal expressions. An equation that can be used to find the number of trucks, t is 216,000 = 39,000 + 3t.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Given that in the Last year, the number of cars sold was 39,000 more than three times the number of trucks sold. Therefore, we can write,
Number of cars sold = 39,000 + 3 times the number of trucks sold
Number of cars sold = 39,000 + 3t
where t represents the number of trucks sold.
Given that number of cars sold is 216,000. Therefore, the equation can be solved for t as shown below.
216,000 = 39,000 + 3t
216,000 - 39,000 = 3t
3t = 177,000
t = 177,000 / 3
t = 59,000
Hence, an equation that can be used to find the number of trucks, t is 216,000 = 39,000 + 3t.
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One leg of a right triangle is 7 and the hypotenuse is 10. What is the length of the
other leg?
Answers
Answer:
L = 7.14
Step-by-step explanation:
using the Pythagorean theorem:
L² = 10² - 7²
L² = 100 - 49= 51
L = 7.14
Answer:
7.14
Step-by-step explanation:
to answer this you need to use pythagoras theorem and that is A²+B²=c²
in this case C²-A²=B²
10²=100
7²=49
100-49=51
then you need to square root 51 which gives your answer 7.14
what is the range of the function y= 2x + 3 when the domain is {-3, -1, 1}?
Answers
Answer:
Step-by-step explanation:
domain = x
range = y
when the domain is -1
y = 2(-1) - 3
y = -2 - 3
y = -5
range is -5
When the domain is 0
y = 2(0) - 3
y = 0 - 3
y = -3
range is -3
when the domain is 5
y = 2(5) - 3
y = 10 - 3
y = 7
range is 7
The range is { -5, -3, 7 }
does the result indicate whether the treatment is effective? find the confidence interval
Answers
It is important to carefully evaluate the results of any study before drawing conclusions about the effectiveness of a treatment.
How is it important to carefully evaluate the result of any study?Yes, the result of a study can indicate whether the treatment is effective. However, without knowing the specific study and treatment being referred to, it is impossible to provide a confidence interval. A confidence interval is a range of values that we can be reasonably confident contains the true population parameter based on the data collected from a sample.
It is typically expressed as a range of values with a certain level of confidence, such as 95% or 99%.To determine if a treatment is effective, researchers will typically conduct a study with a treatment group and a control group.
The treatment group receives the treatment being tested, while the control group receives a placebo or another standard treatment.
The researchers then compare the outcomes of the two groups to determine if there is a significant difference that can be attributed to the treatment being tested.
If the results show a significant difference, then the treatment is considered effective.
However, it is important to note that there are many factors that can affect the outcome of a study, such as sample size, study design, and the characteristics of the participants.
Therefore, it is important to carefully evaluate the results of any study before drawing conclusions about the effectiveness of a treatment.
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what is 12x\frac{5}{6}
Answers
The value of the expression 12* 5/6 is 20
How to evaluate the expression?The expression is given as:
12x\frac{5}{6}
Rewrite properly as:
12* 5/6
Divide 12 and 6 by 6
2 * 10
Evaluate the product
20
Hence, the value of the expression 12* 5/6 is 20
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what is the place value of digit 3 in the number 73892
Answers
answer:
the digit 3 is in the thousands place in the number 73,892.
step-by-step explanation:
the answer was determined based on the definition of the thousands place. it may be easier to tell with a comma in place. hope that helps!
Suppose you want to estimate the average age of all pokemon players. Would you use a confidence interval or a hypothesis test?.
Answers
The confidence interval is used to estimate the average age of all Pokémon players. Option(a) is correct.
A confidence interval displays the probability that a parameter will fall between two values close to the mean. Confidence intervals express the degree of certainty or unpredictability of a sampling technique.
The importance of a proposed (hypothesized) relationship between population statistics (parameters) and their corresponding sample estimators is examined using a hypothesis test, a statistical inference technique.
We employ confidence intervals whenever we want to estimate any parameters.
To Calculate the estimated mean we use the confidence interval formula
(X bar ± Z*σ/√n)
So option (a) is correct.
Therefore confidence interval is used to estimate the average age of all Pokémon players.
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find the area of the surface given by z = f(x, y) that lies above the region r. f(x, y) = 4x 4y r: triangle with vertices (0, 0), (4, 0), (0, 4)
Answers
The area of the surface given by z = f(x, y) that lies above the region is 8√33.
What is the area of the surface?
A solid object's surface area is a measurement of the overall space that the object's surface takes up. The total surface area of a three-dimensional shape is the sum of all the surfaces on each side.
Here, we have
Given: f(x, y) = 4x + 4y, a triangle with vertices (0, 0), (4, 0), (0, 4).
we have to find the area of the surface.
f(x, y) = 4x + 4y
fₓ(x,y) = 4
\(f_{y}(x,y)\) = 4
So, the area of surface z = f(x,y) is bounded above by R is
S = ∫∫\(\sqrt{1+f_x^2+f_y^2} (dA)\)
S = ∫∫\(\sqrt{1+4^2+4^2} dA\)
S = √33∫∫dA
Now, the equation of a line is:
(y-0) = (4-0)/(0-4)×(x-4)
y = -x + 4
So, R{(x,y): 0≤x≤-x+4, 0≤x≤4}
S = √33 \(\int\limits^4_0\int\limits-^x^+^4_0 {} \, dy {} \, dx\)
S = √33\(\int\limits^4_0 {} \,\)(y)dx
S = √33[-x+4-0]₀⁴dx
S = √33(-x²/2 + 4x)₀⁴
S = √33(-4²/2 + 4(4))
S = √33(-8+16)
S = 8√33
Hence, the area of the surface given by z = f(x, y) that lies above the region is 8√33.
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Solve this linear quadratic system
y = 3x + 4
y + x² = 0
Answers
Answer:
x = -1, y = 1
Step-by-step explanation:
Solve the following system:
{y = 3 x + 4 | (equation 1)
y = x + 2 | (equation 2)
Express the system in standard form:
{-(3 x) + y = 4 | (equation 1)
-x + y = 2 | (equation 2)
Subtract 1/3 × (equation 1) from equation 2:
{-(3 x) + y = 4 | (equation 1)
0 x + (2 y)/3 = 2/3 | (equation 2)
Multiply equation 2 by 3/2:
{-(3 x) + y = 4 | (equation 1)
0 x + y = 1 | (equation 2)
Subtract equation 2 from equation 1:
{-(3 x) + 0 y = 3 | (equation 1)
0 x + y = 1 | (equation 2)
Divide equation 1 by -3:
{x + 0 y = -1 | (equation 1)
0 x + y = 1 | (equation 2)
Collect results:
Answer: {x = -1, y = 1
15 tomato plants are grown. a clipping of each tomato plant is taken, and a set of 15 clone-plants are grown in comparison with the original set. the clone-set is grown in a room with 50% less sunlight. the difference in average height between the new set and the original set (after 100 days of growth for each set of plants) is found to be -5.2 cm. the sample standard deviation is 6.7 cm. find the lower bound for the 99% confidence interval for the difference between clones and their original plants. round your answer to 2 decimal places.
Answers
The lower bound for the 99% confidence interval for the difference between clones and their original plants is -10.58 cm.
To calculate the confidence interval, we can use the formula:
\(CI = X - t * (s / \sqrt{n})\)
Where X is the sample mean difference (-5.2 cm), t is the critical t-value for a 99% confidence level with 14 degrees of freedom (since there are 15 pairs of plants and we are estimating the difference between the means), s is the sample standard deviation (6.7 cm), and n is the sample size (15 pairs).
Using a t-table or calculator, we find that the critical t-value is 2.977. Plugging in the values, we get:
\(CI = -5.2 - 2.977 * (6.7 / \sqrt{15}) = -10.58\)
Therefore, we can be 99% confident that the true mean difference between the clones and the original plants is at least -10.58 cm.
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How many terms are there in the expression 5xy² 35xy²?
Answers
There are two terms in the given expression 5xy²+ 35xy².
What is meant by term?
Terms comprise expressions. A term may be a constant, a variable, or a combination of variables and constants.
What is an example of a term?
It could be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase. Single-word examples: A single phrase is 3x.
There are two terms in the equation 5xyA ^2 + 35xyA^2 that is separated by an arithmetic operator +.
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Choose the missing step in the given solution to the inequality −2x − 14 > −4 + 3x.
−2x − 14 > −4 + 3x
−5x − 14 > −4
_____________
x < −2
A. −5x < 10
B. −5x > −18
C. −5x > 18
D. −5x > 10
Answers
Answer:
Step-by-step explanation:
-2x - 14 > -4 + 3x
subtract 3x from both sides
-5x - 14 > -4
add 14 to both sides
-5x > 10
divide both sides by -5
x < -2
The answer would be -5x > 10.
This is because our last inequality was -5x - 14 > -4 so we add 14 to both sides and it would look like this -5x (-14 + 14) > (-4 + 14) which would transition into our next inequality -5x > 10.
So therefore the answer would be -5x > 10.
Jenny and Kath hire the canal boat for 14 days. They share the hire cost of £1785.00 in the ratio 2:3. Work out the smaller share.
Answers
Answer:
£714.00
Step-by-step explanation:
The first step is to set up expresssions for the two shares:
Let x = the amount of one share. The other share is 1785 - x. You don't have to worry about which is smaller--that part will work out automatically!
The two shares are in the ratio of 2:3, so set up the proportion
\(\frac{x}{1785-x}=\frac{2}{3}\)
Again, you don't have to worry--you could set up the proportion "upside down" and everything will work out in the end.
Solve the proportion for x by "cross multiplying" -- use the Means-Extremes Property of proportions.
\((3)(x)=(2)(1785-x)\\3x=3570-2x\\5x=3570\\x=714\)
So one share is £714£ and the other is £1785 - £714 = £1071.
The smaller share is £714.
If Xi, i = 1, 2,3, are independent exponential random variables with ratesλi, i = 1, 2, 3, find(a) P{X1 < X2
Answers
The probability that X1 < X2 is:
P{X1 < X2} = λ1/(λ1+λ2)
How to find P{X1 < X2}?We can approach this problem by using the properties of exponential distributions. The cumulative distribution function (CDF) of an exponential distribution with rate λ is given by:
F(x) = 1 - exp(-λx) for x ≥ 0
Using this CDF, we can find the probability that X1 < X2. Let's denote this probability as P1:
P1 = P{X1 < X2}
Using the properties of conditional probability, we can express P1 in terms of the joint probability density function (PDF) of X1 and X2:
P1 = ∫∫{f(x1,x2) dx1 dx2},
where the integration is taken over the region where X1 < X2
Since Xi, i = 1, 2, 3 are independent exponential random variables with rates λi, we can write the joint PDF of X1 and X2 as:
f(x1,x2) = λ1λ2 exp(-λ1x1) exp(-λ2x2)
Substituting this into the integral for P1, we get:
P1 = ∫∫{λ1λ2 exp(-λ1x1) exp(-λ2x2) dx1 dx2}, where the integration is taken over the region where X1 < X2
To evaluate this integral, we can split the region of integration into two parts:
When x1 < x2:
P1 = ∫0∫x2{λ1λ2 exp(-λ1x1) exp(-λ2x2) dx1 dx2}
When x2 < x1:
P1 = ∫0∫x1{λ1λ2 exp(-λ1x1) exp(-λ2x2) dx2 dx1}
Evaluating each of these integrals separately, we get:
P1 = ∫0∞{λ1λ2 exp(-λ2x2) ∫0x2{λ1 exp(-λ1x1) dx1} dx2}
= ∫0∞{λ1λ2 exp(-λ2x2) (1 - exp(-λ1x2)) dx2}
= λ1λ2 ∫0∞{(exp(-λ2x2) - exp(-(λ1+λ2)x2)) dx2}
= λ1λ2 [(1/λ2) - (1/(λ1+λ2))]
P1 = ∫0∞{λ1λ2 exp(-λ1x1) ∫x1∞{λ2 exp(-λ2x2) dx2} dx1}
= ∫0∞{λ1λ2 exp(-λ1x1) (1 - exp(-λ2x1)) dx1}
= λ1λ2 ∫0∞{(exp(-λ1x1) - exp(-(λ1+λ2)x1)) dx1}
= λ1λ2 [(1/λ1) - (1/(λ1+λ2))]
Therefore, the probability that X1 < X2 is:
P{X1 < X2} = P1 = λ1λ2 [(1/λ2) - (1/(λ1+λ2))] = λ1/(λ1+λ2)
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The radius of a circle is 13 miles. What is the circle's area? use for 3.14
Answers
(a) construct a stem-and-leaf display using stems 1, 2, 3, and 4. (enter numbers from smallest to largest separated by spaces. enter none for stems with no values.)
Answers
The stem-and-leaf display of the data is
Stem | Leaves
1 | 2
2 | 2
3 | 3
4 | 5, 8
To start, let's assume we have a set of data values, such as 12, 22, 33, 45, 48, 53, 61, 62, 72, 83, 91, 96, 99.
The stem-and-leaf display consists of two parts: the "stem" and the "leaf." The stem represents the leading digit(s) of the data values, and the leaf represents the trailing digit(s). For example, the number 12 has a stem of 1 and a leaf of 2.
Now, let's organize the data values into their corresponding stems:
Stem 1: 12
Stem 2: 22
Stem 3: 33
Stem 4: 45, 48
Next, we list the leaves corresponding to each stem. The leaves are listed in ascending order next to their respective stems:
Stem 1: 2
Stem 2: 2
Stem 3: 3
Stem 4: 5, 8
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dave is making a rectangular garden bed. after assembling it, he finds that the bed has a width of three-fourths of a foot and a length of nine and one-third feet. what is the area of the garden in square feet
Answers
The area of the garden is 7 square feet.
Define area.The area a rectangle occupies is the space it takes up inside the limitations of its four sides. The dimensions of a rectangle determine its area. In essence, the area of a rectangle is equal to the sum of its length and breadth. An example of a quadrilateral with equal and parallel opposite sides is a rectangle. It is a polygon with four sides and four angles that are each 90 degrees. A rectangle is a shape with only two dimensions. A rectangle's area (A) is calculated by multiplying its length ('a') by its breadth ('b'). Area of Rectangle is therefore equal to (a× b) square units.
Given,
Width = 3/4
Length = 9 + 1/3
Length = 28/3
Area:
Length × Width
3/4 × 28/3
84/12
7
The area of the garden is 7 square feet.
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PLEASE HELP ME, I HAVE BEEN WAITING FOR A DAAYY!! How old am i if 400 reduced by 3 times my age is 244?
Answers
Answer:
52 years
Step-by-step explanation:
Let
Your age = x
3 times your age = 3 * x
= 3x
The equation can be written as:
400 - 3x = 244
400 - 244 = 3x
156 = 3x
Divide both sides by 3
x = 156/3
x = 52
Therefore,
Your age is 52 years
. suppose a drawer contains 11 white socks, 9 black socks, and 7 blue socks. (a) how many socks do we need to draw to ensure we have 2 socks of the same color? (use the pigeonhole principle.) chegg
Answers
According to the given question ( a.) We need to draw at least 4 socks to ensure we have 2 socks of the same color.
To ensure we have 2 socks of the same color, we can apply the pigeonhole principle.
In this case, the "pigeonholes" represent the different colors of socks (white, black, and blue), and we need to find the minimum number of socks we need to draw to guarantee that we have at least 2 socks of the same color.
The worst-case scenario occurs when we draw one sock from each color successively, without getting a matching pair. In this case, we would have drawn 1 white sock, 1 black sock, and 1 blue sock.
To ensure we have 2 socks of the same color, we need to draw an additional sock. Since we have already drawn one sock of each color, the next sock we draw will necessarily match one of the colors we have already drawn.
Therefore, we need to draw at least 4 socks to ensure we have 2 socks of the same color.
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converting 1,000 mg to 1 gram would require moving the decimal place ________ places to the left.
Answers
Converting 1,000 mg to 1 gram would require moving the decimal place zero places to the left.
Unit conversion is a process with multiple steps that involves multiplication or division by a numerical factor or, particularly a conversion factor. The process may also require selection of the correct number of significant digits, and rounding. Different units of conversion are used to measure different parameters. By definition conversion of units means the conversion between different units and measurements of the same quantity done by the process of multiplication or division. In maths, conversion is the process of changing the value of one form to another for example inches to millimeters, or liters to gallons. Units are used for measuring length, measuring weight, measuring capacity, measuring temperature, and measuring speed.
If we want to calculate how many Grams are 1000 Milligrams we have to multiply 1000 by 1 and divide the product by 1000. So for 1000, we have (1000 × 1) ÷ 1000 = 1000 ÷ 1000 = 1 Gram.
So finally 1000 mg = 1 g
Thus, converting 1,000 mg to 1 gram would require moving the decimal place zero places to the left.
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