\(\boxed{\bf\cfrac{1}{3} +\cfrac{3}{12} }\)
Answers
Answer:
\(\frac{7}{12}\)
Step-by-step explanation:
\(\frac{1}{3} + \frac{3}{12} = \frac{4 + 3}{12} = \frac{7}{12}\)
Answer:
\(\frac{7}{12}\)
Step-by-step explanation:
The denominators must have the same value before we can add them
Multiply numerator/ denominator of \(\frac{1}{3}\) by 4
\(\frac{1}{3}\) = \(\frac{4(1)}{4(3)}\) = \(\frac{4}{12}\) , then
\(\frac{4}{12}\) + \(\frac{3}{12}\)
= \(\frac{4+3}{12}\)
= \(\frac{7}{12}\)
Related Questions
Find the volume of the solid. Use 3.14 for π.
Answers
Answer:
vol= 10366.3175in²Step-by-step explanation:
So this is a cylinder
formula: π r²hR= 8.75in
h=43.12in
So it will be = 3.14x8.75²x43.12
=> 3.14x76.5625x43.12
3.14x 3301.375
10366.3175in²i think it is correct
.
stay safe
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have a nice TIME
find X and Y so that the quadrilateral is a parallelogram 5 y 55 ,11x
Answers
A few properties of a parallelogram.
1) Opposite sides are always equal.
2) Opposite angles are always equal.
3) The sum of all the angles is 360.
In part 2, we are given the angles. Therefore, we can apply the 2nd property.
11x = 55
5y = z (lets say the unknown is z).
Now, 11x = 55
x = 55/11
x = 5
Now, we have to angles of 55 degrees but we don't know about y and z. Therefore, we have to apply the third property.
55 + 55 + 5y + z = 360
110 + 5y + z = 360
5y + z = 360 -110
5y + z = 250. (i)
According to property 2, 5y = z. Hence, put the value of 5y in the equation (i), we get
5y + z = 250
z + z = 250
2z = 250
z = 250/2
z = 125
From the value of z, we can find the value of y using z = 5y
125 = 5y
5y = 125
y = 125/5
y = 25
Hence, x = 5 and y = 25
prove that \(2/\sqrt{3} cosx + sin x= sec(\pi /6-x)\)
Answers
Answer:
sec(π/6 - x) = R.H.S = 2/(√3cosx + sinx) = L.H.S.
Step-by-step explanation:
sec(π/6 - x) = 1/cos(π/6 - x)
Using compound angle formula,
cos(A - B) = cosAcosB + sinAsinB where A = π/6 and B = x.
So, cos(π/6 - x) = cos(π/6)cosx + sin(π/6)sinx , cosπ/6 = √3/2 and sinπ/6 = 1/2
cos(π/6 - x) = cosπ/6cosx + sinπ/6sinx = (√3/2)cosx + (1/2)sinx
sec(π/6 - x) = 1/cos(π/6 - x)
= 1/(√3/2)cosx + (1/2)sinx = 2/(√3cosx + sinx)
= L.H.S
So, sec(π/6 - x) = R.H.S = 2/(√3cosx + sinx) = L.H.S
Pls help! Solve the equation by using quadratic formula.
-2x’2 + 4x = 5
Answers
Answer:
\(x=\frac{2\pm i\sqrt{6}}{2}\)
Step-by-step explanation:
\(-2x^2+4x=5\\\\-2x^2+4x-5=0\\\\x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\ \\x=\frac{-4\pm\sqrt{(4)^2-4(-2)(-5)}}{2(-2)}\\\\x=\frac{-4\pm\sqrt{16-40}}{-4}\\\\x=\frac{-4\pm\sqrt{-24}}{-4}\\ \\x=\frac{-4\pm2i\sqrt{6}}{-4}\\ \\x=\frac{2\pm i\sqrt{6}}{2}\)
Combine like terms. what is a simpler form of the expression? − 3 ( − 4 y 3 ) 7 y
Answers
The simpler form of the expression −3(−4y^3)7y is 12y^4.
To combine like terms and simplify the expression −3(−4y^3)7y, we follow these steps:
Multiply the coefficients outside the parentheses:
-3 * -4 = 12
Multiply the variables inside the parentheses:
y^3 * y = y^4
Combine the results from steps 1 and 2:
12y^4
The simpler form of the expression −3(−4y^3)7y is 12y^4.
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lamar runs 8 miles a day he wants to know how many miles he ran in a particular month
Answers
Answer:
he could run 240 miles in 30 days
Step-by-step explanation:
your welcome
Answer/Step-by-step explanation:
8 (x) = m
-----------------------
8 miles (days of the month) = total miles ran
*97 POINTS*
Use the numerals representing cardinalities in the Venn diagram, shown on the right, to give the cardinality of the set
A' ∩ B' ∩ C. '
n(A' ∩ B' ∩ C')= ___________
Answers
Answer:
19
Step-by-step explanation:
A' represents everything out A
B' represents everything out B
C' represents everything out C
So only the outside is left hope this helps
help me with this please
Answers
Answer:
C. 7.5m
Step-by-step explanation:
\(8m \: up= 3m \: above \\ 12m \: up = x \: above\)
Cross multiply
\(8x = 12 \times 3 \\ 8x = 36\)
Divide both sides of the equation by 8
\( \frac{8x}{8} = \frac{36}{8} \\ x = 4.5 \\ 3 + 4.5 = 7.5m\)
Help plssssssssss? What’s the answerrrr
Answers
Answer:
621200 mg
1.36664 Lb
Step-by-step explanation:
Given;
Cullinan diamond weighed 3106 carats.
1 Carat - 0.2 grams
Question to Answer;
How much does the diamond weigh in milligrams/pounds?
Solve;
Since 1 carat = 0.2 grams
1g = 1000 mg
1g = 0.0022 lb
Thus,
3106 ct = 0.2 * 3106g = 6212g
621.2g = 621.2 * 1000 mg = 621200 mg
621.2g = 621.2 * 0.0022 lb = 1.36664 lb
[RevyBreeze]
Write an equation in slope-intercept form of the line.
Answers
Answer: y=3 - 1/2x
Step-by-step explanation:
The line is sloping down, so the slope is negative. The y-int is 3, and it goes down one, right 2
Answer: y = -1/-2x + 3 or y = 1/2x +3
Step-by-step explanation:
you first find the y intercept of the equation y = mx+b
to do this you go to 0 and find count up or down until it crosses the y axis(3).
from there you find your slope count up or down and left and right
slope formula is m=rise over run (-1/-2).
then you plug in your numbers to slope intercept form.
On a coordinate plane, triangle R S T has points (negative 5, 6), (3, 4), and (negative 2, 2). Which expression can be used to find the area of triangle RST? (8 â™ 4) - One-half (10 12 16) (8 â™ 4) - (10 12 16) (8 â™ 4) - One-half (5 6 8) (8 â™ 4) - (5 - 6 - 8).
Answers
The area of a triangle is the amount of space on the triangle
The expression that represents the area of the triangle is \(A = \frac 12|-5(2 -4) +3(2 -6) -2(4 -6)|\)
The coordinates of the triangle are given as:
\(R = (-5,6)\)
\(S = (3,4)\)
\(T = (-2,2)\)
The area (A) of a triangle from its coordinates or vertices are:
\(A = \frac 12|x_1(y_3 -y_2) +x_2(y_3 -y_1) + x_3(y_2 -y_1)|\)
Substitute values for x's and y's
\(A = \frac 12|-5(2 -4) +3(2 -6) -2(4 -6)|\)
Hence, the expression that represents the area of the triangle is \(A = \frac 12|-5(2 -4) +3(2 -6) -2(4 -6)|\)
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Someone help!!!!!! Look at the picture below
Answers
Answer:
9
Step-by-step explanation:
i can not really tell what letters are on the picture but i think it is 9
I'm pretty sure I have the right answer but can someone answer this for me ?
Answers
ANSWER
28.285 units
EXPLANATION
We are given the square EFGH and we need to find the perimeter.
The perimeter of a square is given as:
P = 4 * L
P = 4L
where L = length of the side of the square
To find the length of the side of the square, we have to find the distance between a pair of adjacent vertices of the square.
Let us pick E(0, 5) and F(5, 0).
The distance between the two points is:
\(L\text{ = }\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}\)where (x1, y1) = (0, 5)
(x2, y2) = (5, 0)
Therefore, the length of the square (distance between the two points) is:
\(\begin{gathered} L\text{ = }\sqrt[]{(5-0)^2+(0-5)^2}\text{ = }\sqrt[]{5^2+(-5)^2} \\ L\text{ = }\sqrt[]{25\text{ + 25}}\text{ = }\sqrt[]{50} \\ L\text{ = 7.071 units} \end{gathered}\)Therefore, the perimeter of the square is:
P = 4 * 7.071
P = 28.284 units
.Study 1: National Cancer Institute, Harvard University and other institutions
The researchers collected data about people's exercise habits from 661,000 adults, predominantly middle-aged, from six large ongoing health surveys. They segmented this data using weekly exercise time as a parameter. The ranges varied from no exercise to almost 10 times the current recommendations (moderate exercise for 25 hours per week or more). Then, 14 years' worth of death records for the group were compared to the exercise records. The effort yielded the following major results:
The group with no exercise times were at the highest risk of early death.
Minimal exercise less than the recommended level was still able to mitigate the risk of premature death by 20%.
The group who followed the generally prescribed guideline of 150 min/week of moderate exercise had reduced probabilities of early death by 31%.
The optimum level of health benefits were yielded in people who exercised thrice the recommended levels and had lowered their risk of premature death by 39%.
Any further increase in exercise yielded insignificant incremental benefits with regards to mortality risk. However, the exercise also did not adversely affect their mortality risk.
Study 2: James Cook University in Cairns
Their methodology was similar to the other study. The researchers collected health survey data for more than 200,000 Australian adults, followed by comparison with corresponding death statistics. However, the stratification in their case was taken another level forward in that they further segmented the sample data regarding exercise times into various stress levels of the exercise varying from normal to vigorous.
The results, unsurprisingly, were similar in nature with a few additional insights:
Meeting the generally recommended exercise guidelines substantially reduced the risk of early death, even with moderate exercise such as walking.
Occasional vigorous exercise did not yield any significant reduction in mortality; however, those who spent up to 30 percent of their weekly exercise time in vigorous activities were 9 percent less likely to die prematurely. With more than 30% of their time dedicated to strenuous activities, people gained an extra 13% reduction in early mortality, compared with people who stuck to moderate exercise levels. Very high levels of intense exercise did not improve mortality risk rates significantly.
In conclusion, although these two studies may not put an end to the debate about the right "dosage" of exercise for a healthy life; it can be said that 150 minutes of vigorous exercise per week seems to be effective in reducing mortality risks.
Answers
The two studies indicate that 150 minutes of intense exercise per week is effective in reducing mortality risks.
Study 1 was carried out by the National Cancer Institute and Harvard University, and they collected information about the exercise habits of around 661,000 middle-aged adults from six large ongoing health surveys. They then divided the data into various segments based on the weekly exercise time as a parameter.
The group with no exercise had the highest risk of premature death. Minimal exercise that is less than the recommended levels could still reduce the risk of premature death by 20%.
The group that followed the standard exercise guidelines of 150 min/week of moderate exercise had a 31% lower probability of premature death. Individuals who exercised three times the recommended levels had the best benefits, with a 39% reduction in the risk of premature death.
However, increasing the exercise time did not have a significant effect on mortality risk rates. Study 2 was conducted by James Cook University in Cairns. They collected health survey data for over 200,000 Australian adults, which was then analyzed with corresponding death statistics. Their analysis was more detailed than the first study since they divided the data according to exercise stress levels ranging from normal to strenuous.
The results were similar to the first study, but there were some additional findings. The study showed that adhering to the general recommended exercise guidelines substantially decreased the risk of premature death, even with moderate exercise like walking. Intense exercise had little to no effect on mortality rates.
However, those who spent up to 30 percent of their weekly exercise time in vigorous activities were 9 percent less likely to die prematurely. With more than 30% of their time dedicated to strenuous activities, people gained an extra 13% reduction in early mortality, compared with people who stuck to moderate exercise levels. Very high levels of intense exercise did not improve mortality risk rates significantly.
In conclusion, the two studies indicate that 150 minutes of intense exercise per week is effective in reducing mortality risks.
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ANSWER NEEDED QUICK!
Divide: 5/8 divided by 3/4
1/8
5/6
3/4
1 1/2
Answers
Work out the total area of the shape below:
Answers
The total area of the given shape is 71cm².
What is area?The size of a section on a surface is determined by its area. Surface area refers to the area of an open surface or the border of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a shape or planar lamina. A shape's area can be calculated by contrasting it with squares of a known dimension. The square meter (abbreviated as m²), which is the area of a square whose sides are one metre long, is the common measure of area in the International System of Units (SI). Three such squares would be the same size as a shape with a three square metre surface.
The following figure can be divided into a rectangle 7cm x 8cm and a triangle of height and base 6 cm and 5 cm respectively.
Area of rectangle= 7*8= 56 cm²
Area of triangle= 1/2* base*height= 1/2*6*5 = 15 cm²
Total area of shape = 56+15= 71 cm²
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Directions - Identify the number of vertices, faces, and edges for each figure.
12)
Faces:
Edges:
Vertices:
Answers
Based on the image, the figure appears to be a cube.
Faces: 6 Edges: 12 Vertices: 8
How do you find the number of edges in a cube?To find the number of edges in a cube, you need to count the number of line segments that make up the corners and sides of the cube. A cube has 12 edges.
How does the number of vertices, edges, and faces vary for different types of three-dimensional shapes?The number of vertices, edges, and faces can vary greatly for different types of three-dimensional shapes. For example, a pyramid has one base and several triangular faces that meet at a single vertex, while a sphere has no faces or edges but has an infinite number of points on its surface.
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Please help me ASAP!!!!!
Answers
Answer:
The surface area is 80.9.
Step-by-step explanation:
Solve - 2y – 14x > 14 for y.
Answers
Answer:
y<-7x-7
Step-by-step explanation:
Add 14x on both sides
-2y>14x+14
Divide by 2 on both sides
-y>7x+7
y<-7x-7
the t test for the difference between the means of 2 independent populations when standard deviations are unknown assumes that the samples are randomly and independently drawn population variances are equal populations are approximately normal or sample sizes are greater than 30 all of the above
Answers
The correct option for the t test for the difference between the means of 2 independent populations is sample variances are equal.
What is the t-test for two independent samples?The Autonomous samples t Test analyzes the method for two free gatherings to decide if there is factual proof that the related populace implies are essentially unique. The Free samples t Test is a parametric test. This test is otherwise called: Free t Test.
According to given data:The t test for the difference between the means of 2 independent populations when standard deviations are unknown, we must assume that sample variances are equal.
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What’s the answer to this problem cause I’m super confused
Answers
Answer:
so,the area of the rectangle=length ×width
area of rectangle=10×5
area of rectangle=50in²
Jennifer made these measurements on ABC,BC must be-?
Answers
Answer:
between 10 and 12
Step-by-step explanation:
Given the measure of angles:
m∠B = 70°
m∠C = 60°
m∠A = 50°
We know m∠B = 70° because the sum of interior angles in a triangle is equal to 180°.Following this information, since the side lengths are directly proportional to the angle measure they see:
Angle B is the largest angle. Therefore, side AC is the longest side of the triangle since it is opposite of the largest angle.
Angle C is the smallest angle, so the side AB is the shortest side.
Therefore, side BC must be between 10 and 12 inches.
Which of the following variable expressions represents the word phrase
“2 less than p”?
a. 2 – p
b. p + 2
c. p – 2
d. 2 p
Answers
Suppose you toss a coin 129 times and get heads on 60 of those rolls. Based upon these results, what is the probability that the next toss will be heads
Answers
The probability that the next toss will be heads is 0.465.
What is the conditional probability?Conditional probability is the probability of one event occurring with some relationship to one or more other events
Let A be the event that represents the result of heads from the 60 coin tosses.
Using the Naive Definition of the Probability.
Experimental probability on an event A is (number of outcomes favorable to A) / (number of outcomes) = s(A) / s(Ω)
P(A) = 60 / 129 = 0.465
Therefore, the probability that the next toss will be heads is 0.465.
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Solve for x please!!!
Answers
Answer:
\(\tt x=12\)
Step-by-step explanation:
\(\tt 9x+12+76=2(98)\)
\(\tt 9x+88=196\)
\(\tt 9x=196-88\)
\(\tt \cfrac{9x}{9}=\cfrac{108}{9}\)
\(\tt x=12\)
~
negative 68 as a fraction
Answers
Answer:
it would be 68/100
Step-by-step explanation:
Answer:
17/25 simpliest form
Step-by-step explanation:
find the gcd or hcf of numerator and denominator
gcd of 68 and 100 is 4
divided both the numerator and denominator by the gcd
68 divided by 4 =17
100 divided by 4= 25
vineet solved a system of equations by substitution. in his work, he substituted an expression for one of the variables and solved for the value of the other. this resulted in the equation 7
Answers
The equation resulting from Vineet's substitution in solving the system of equations is not provided, so it is not possible to give a direct answer.
To provide an explanation and calculation, we need the specific equations and the substitution made by Vineet. Without this information, it is not possible to proceed with the calculation or analysis.
Without the equation resulting from Vineet's substitution or the specific system of equations being solved, it is not possible to provide a detailed explanation or calculation. It is important to have the complete information in order to analyze Vineet's work accurately. If you can provide the specific equations and the substitution made, I would be happy to assist you further in explaining Vineet's process and reaching a conclusion.
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two players, a and b, alternatively toss a fair coin (a tosses the coin first, then b tosses the coin, then a , then b .. .). the sequence o f heads and tails is recorded. i f there is a head followed by a tail (ht subsequence), the game ends and the person who tosses the tail wins. what is the probability that a wins the game?
Answers
When two players A and B alternately flip a fair coin, the probability E(T) is 4. (A tosses the coin first, then B tosses the coin, then A, then B and so on).
What is probability?Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty.
Two players, A and B, turn a fair coin in succession (A tosses the coin first, then B tosses the coin, then A, then B and so on). The order of the heads and tails is noted. If there is a head followed by a tail, the game is done, and the person who throws the tail wins (HT sub-sequence).
We must ascertain the game's estimated duration. Allow T coin tosses for the game to proceed. Find E (T).
\(E(T) = first instance of HT in seriesE(T) =0.5×(1+2)+0.5×(1+E(T))\\0.5×E(T)=0.5×4\\E(T) =4\)
As a result, when two players A and B alternately flip a fair coin, The E(T) is 4. (A tosses the coin first, then B tosses the coin, then A, then B and so on).
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Find the value of a and b when x = 10
5x2
2
2x²(x - 5)
10x
Answers
Step-by-step explanation:
If x=10
2(10)²(10-5)
200 × 5
=1000
10x=10(10)
=100
Solve the exponential equation. Write the exact answer with natural logarithms and then approximate the result correct to three decimal places. 3 + 4^4x-3 +6 =11
Answers
x ≈ 0.625.
To solve the exponential equation 3 + 4^(4x-3) + 6 = 11, we first need to isolate the exponential term.
Subtracting 3 and 6 from both sides, we get:
4^(4x-3) = 2
To solve for x, we can take the natural logarithm of both sides:
ln(4^(4x-3)) = ln(2)
Using the property of logarithms that ln(a^b) = b*ln(a), we can simplify the left side:
(4x-3)ln(4) = ln(2)
Dividing both sides by ln(4), we get:
4x-3 = ln(2)/ln(4)
Simplifying the right side using a calculator, we get:
4x-3 ≈ -0.5
Adding 3 to both sides, we get:
4x ≈ 2.5
Dividing by 4, we get:
x ≈ 0.625
Therefore, the exact solution with natural logarithms is:
x = (ln(2)/ln(4) + 3)/4
And the approximate solution correct to three decimal places is:
x ≈ 0.625
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