Answer:
137.26 m^3
Step-by-step explanation:
Put the numbers into the formula and do the arithmetic.
v = (1/6)(√3.14)(60 m^2)^(3/2) = 137.26 m^3
Solve by Factoring:
2x^2 - x - 3 = 0
Answer:
x = 3/2 or x = -1
Step-by-step explanation:
2x² - x - 3 = 0
2*(-3) = -6
Factors of -6:
(-1, 6), (1, -6), (-2, 3), (2, -3)
We need to find a pair that adds up to the co-eff of x which is (-1)
Factors :(2,-3)
2 - 3 = -1
so, 2x² - x - 3 = 0 can be written as:
2x² + 2x - 3x - 3 = 0
⇒ 2x(x + 1) -3(x + 1) = 0
⇒ (2x - 3)(x + 1) = 0
⇒ 2x - 3 = 0 or
x + 1 = 0
⇒ 2x = 3 or x = -1
⇒ x = 3/2 or x = -1
Which equation represents a line that passes through (5, 1) and has a slope of StartFraction one-half EndFraction?
y – 5 = y minus 5 equals StartFraction one-half EndFraction left-parenthesis x minus 1 right-parenthesis.(x –1)
y – y minus StartFraction one-half EndFraction equals 5 left-parenthesis x minus 1 right-parenthesis. = 5(x –1)
y – 1 = y minus 1 equals StartFraction one-half EndFraction left-parenthesis x minus 5 right-parenthesis.(x –5)
y – 1 = 5y minus 1 equals 5 left-parenthesis x minus StartFraction one-half EndFraction right-parenthesis.
Step-by-step explanation:
Slope 1/2 point 5,1
in point slope form would be
(y-1) = 1/2 (x-5)
76.
A certain investor wants an 11% return on investment from any real estate investment. A property priced at $360,000 has gross income of $60,000 and expenses of $22,000. Approximately how much too high is the price of this
property for the investor to obtain her desired return exactly?
O 1. $ 16,000 underpriced
O 2. $15,000 overpriced
O 3. $1,000 overpriced
4. $8,000 underpriced
Answer:
It would be 15,00 overpriced
Step-by-step explanation:
use the extended euclidean algorithm to find the greatest common divisor of 8,406 and 1,242 and express it as a linear combination of 8,406 and 1,242. step 1: find q1 and r1 so that 8,406
Using Euclid's Algorithm, the greatest common divisor or 8406 and 1242 is 18
The first number = 8406
The second number = 1242
We have to find the greatest common divisor of the given numbers 8406 and 1242 using the Euclid's Algorithm
8406 / 1242 = 6 R 954
8406 = 6 × 1242 + 954
1242 / 954 = 1 R 288
1242 = 1 × 954 + 288
954 / 288 = 3 R 90
954 = 3 × 288 + 90
288 / 90 = 3 R 18
288 = 3 × 19 + 18
90 / 18 = 5 R 0
90 = 5 × 18 + 0
The remainder became zero, so the greatest common divisor 18
Therefore, the greatest common divisor of 8406 and 1242 is 18
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In a psychology class, 60 students have a mean score of 96.9 on a test. Then 19 more students take the test and their mean score is 71.3.
What is the mean score of all of these students together? Round to one decimal place.
Help please, and thank you! C:
Answer:83.3
Step-by-step explanation:
Answer this question please
All the functions which are bounded below and bounded above are,
⇒ Absolute value function.
⇒ sine function function
⇒ cosine function
We have to given that;
To check all the functions which are bounded below and bounded above.
Here, All the functions are,
⇒ Absolute value function.
⇒ sine function function
⇒ cosine function
⇒ Square root function
⇒ natural logarithmic function
Since, The Absolute value function is defined as;
⇒ | f (x) |
And,
⇒ | f (x) | ≤ M ; for M > 0
⇒ - M ≤ f (x) ≤ M
Hence, It is a bounded function.
Since, Sine and cosine function are defined in between 1 and - 1.
Hence, Both are bounded below by - 1 and bounded above by 1.
So, Both function are bounded.
Since, Square root function is defined as,
⇒ √ f (x) ≥ 0
Hence, It is only bounded below.
Since, When the base of the logarithm is greater than 1, log(x) approaches negative infinity as x approaches 0.
Hence, It is not bounded.
Thus, All the functions which are bounded below and bounded above are,
⇒ Absolute value function.
⇒ sine function function
⇒ cosine function
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Mikey johnson shipped out 34 2/7 pounds of electrical supplies . The supplies are placed in individual packets that weigh 2 1/7 pounds each . How many packets did he ship out ?
Mikey Johnson shipped out 34 2/7 pounds of electrical supplies. The supplies are placed in individual packets that weigh 2 1/7 pounds each. Therefore, Mikey shipped out 16 packets of electrical supplies.
To solve the problem, we can use the following steps.Step 1: Find the weight of each packet.
We are given that the weight of each packet is 2 1/7 pounds.
To convert this mixed number into an improper fraction, we can multiply the whole number by the denominator and add the numerator.
This gives us: 2 1/7 = (2 × 7 + 1) / 7= 15 / 7 pounds.
Therefore, the weight of each packet is 15/7 pounds.
Now, divide the total weight by the weight of each packet.
We are given that the total weight of the supplies shipped out is 34 2/7 pounds.
To convert this mixed number into an improper fraction, we can multiply the whole number by the denominator and add the numerator.
This gives us: 34 2/7 = (34 × 7 + 2) / 7= 240 / 7 pounds.
Therefore, the total weight of the supplies is 240/7 pounds.
To find the number of packets that Mikey shipped out, we can divide the total weight by the weight of each packet.
This gives us: 240/7 ÷ 15/7 = 240/7 × 7/15= 16.
Therefore, Mikey shipped out 16 packets of electrical supplies.
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A gallon of paint can cover 50 square feet. Find how many gallon containers of paint should be bought to paint 3 coats
on each wall of a rectangular room with dimensions 10 feet by 18 feet and walls that are 8-feet tall.
Answer:
27 gallons
Step-by-step explanation:
A rectangular room is a rectangular prism. The floor and ceiling are the bases. The walls are the lateral faces. The lateral are of a rectangular prism is the product of the perimeter of the base and the height of the prism.
lateral area = Ph
lateral area = 2(10 ft + 18 ft) × 8 ft
lateral area = 448 ft²
area of walls = 448 ft²
area of three coats = 3 × 448 ft² = 1,344 ft²
area covered by 1 gallon of paint = 50 ft²
number of gallons of paint needed = 1344 ft² / 50 ft² = 26.88
Answer: 27 gallons
NO LINKS!! Express the statement as an inequality. Part 3
Answer:
G) p/q≤7 H) 1/w≥9 I) |x|>7
Step-by-step explanation:
G) 2nd one.
At most seven means it can be less than or equal to 7.
H) First one.
At least 9 means greater of equal to 9.
I) 4th one.
Greater than 7 means >.
Answer:
(g) p/q ≤ 7
(h) 1/w ≥ 9
(i) |x| > 7
Step-by-step explanation:
Symbol notation
< means "less than".> means "greater than".≤ means "less than or equal to".≥ means "greater than or equal to".= means "equals".Question (g)
The quotient is the result of division.
At most means "less than or equal to".
Therefore, the quotient of p and q is at most 7 is:
p/q ≤ 7Question (h)
The reciprocal of a number is 1 divided by the number.
Therefore, the reciprocal of w is at least 9 is:
1/w ≥ 9Question (i)
The absolute value symbol are bars either side of an expression or a value.
Therefore, the absolute value of x is greater than 7 is:
|x| > 7The function f(x) = -2(4)²+1 +140 represents the number of tokens a child has x hours after arriving at an arcade.
What is the practical domain and range of the function?
Enter your answer by filling in the boxes to correctly complete the statements. If necessary, round to the nearest hundredth.
The practical domain of the situation is ?
The practical range of the situation is ?
In this year, the average cost of a traditional thanksgiving dinner for 10, featuring turkey, stuffing, cranberries,pumpkin pie and trimmings was 46.92,a decrease of 1.57% from the cost of last year. What was the average cost of a traditional thanksgiving dinner in the last year?
In linear equation, the average cost of a traditional Thanksgiving dinner was 47.66.
What is the short definition of a linear equation?
A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."If this year the cost of a traditional Thanksgiving dinner was decreased by 1.76% compared to last year, then
last year cost - 100%
this year cost - 100%-1.57%= 98.43%
So, $x - 100%
$46.92 - 98.43%
Write a proportion
x/46.92 = 100/98.43
Cross multiply
98.43 x = 100 * 46.92
98.43 x = 4692
x ≈ 47.66
Last year, the average cost of a traditional Thanksgiving dinner was 47.66.
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Please help what is the slope of the line?
Answer:
-5/4
Step-by-step explanation:
Let \((x_1,y_1)=(-4,4)\) and \((x_2,y_2)=(0,-1)\). The slope of the line would be:
\(\displaystyle \frac{y_2-y_1}{x_2-x_1}=\frac{-1-4}{0-(-4)}=\frac{-5}{4}=-\frac{5}{4}\)
Answer: -5/4
Step-by-step explanation:
To find the slope between two points, you can use the formula:
Slope = (y2 - y1)/(x2 - x1)
Using the points (0, -1) and (-4, 4), we can substitute the coordinates into the formula:
slope = (4 - (-1))/(-4 - 0)
slope = (4 + 1)/(-4)
slope = 5/-4
Therefore, the slope between the two points is -5/4.
A four-ounce serving of Campbell's Pork & Beans contains 5 grams of protein and 21 grams of carbohydrates A typical slice of "lite" rye bread contains 4 grams of protein and 12 grams of carbohydrates.
(a) I am planning a meal of "beans-on-toast" and I want it to supply 20 grams of protein and 80 grams of carbohy- drates. How should I prepare my meal?
(b)If I require A grams of protein and B grams of carbohy- drates, give a formula that tells me how many slices of bread and how many servings of Pork & Beans to use.
(a) To meet the desired 20g protein and 80g carbohydrate intake, prepare 4 servings of Pork & Beans and combine with 15 slices of "lite" rye bread.
(b) Bread: A/4 slices, Beans: B/21 - (A/4) * (12/21) servings.
(a) To prepare a meal of "beans-on-toast" that supplies 20 grams of protein and 80 grams of carbohydrates, you can use the following combination:
- Servings of Campbell's Pork & Beans: 4 servings.
- Slices of "lite" rye bread: 15 slices.
By using 4 servings of Campbell's Pork & Beans, you will obtain a total of 20 grams of protein (5 grams per serving) and 84 grams of carbohydrates (21 grams per serving).
Combining this with 15 slices of "lite" rye bread will contribute an additional 60 grams of carbohydrates (12 grams per slice) and 4 grams of protein (4 grams per slice). Thus, your meal will meet the desired nutritional requirements of 20 grams of protein and 80 grams of carbohydrates.
(b) The formula to determine the number of slices of bread and servings of Pork & Beans needed to meet specific protein and carbohydrate requirements is as follows:
- Number of slices of bread (Bread): A divided by 4.
- Number of servings of Pork & Beans (Beans): (B divided by 21) minus ((A divided by 4) multiplied by (12 divided by 21)).
Using this formula, you can calculate the appropriate quantities of bread and beans based on the desired protein (A) and carbohydrate (B) values.
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3.6= − a/0.8 − 1.6 − 0.8 a −1.6
The value of a for the given expression will be -3.31.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the expression is 3.6= − a/0.8 − 1.6 − 0.8 a −1.6. The value of a will be calculated as below,
3.6 = − a/0.8 − 1.6 − 0.8 a −1.6
3.6 + 1.6 + 1.6 = -a / 0.8 - 0.8a
6.8 = ( -a - 0.64a ) / 0.8
5.44 = -1.64a
a = -3.31
Therefore, the value of a will be -3.31.
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Help me please right now.
Solve for a and b.
Simplifying
10x + -8 = ax + b
Reorder the terms:
-8 + 10x = ax + b
Solving
-8 + 10x = ax + b
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-1ax' to each side of the equation.
-8 + -1ax + 10x = ax + -1ax + b
Combine like terms: ax + -1ax = 0
-8 + -1ax + 10x = 0 + b
-8 + -1ax + 10x = b
Add '8' to each side of the equation.
-8 + -1ax + 8 + 10x = 8 + b
Reorder the terms:
-8 + 8 + -1ax + 10x = 8 + b
Combine like terms: -8 + 8 = 0
0 + -1ax + 10x = 8 + b
-1ax + 10x = 8 + b
Reorder the terms:
-8 + -1ax + -1b + 10x = 8 + b + -8 + -1b
Reorder the terms:
-8 + -1ax + -1b + 10x = 8 + -8 + b + -1b
Combine like terms: 8 + -8 = 0
-8 + -1ax + -1b + 10x = 0 + b + -1b
-8 + -1ax + -1b + 10x = b + -1b
Combine like terms: b + -1b = 0
-8 + -1ax + -1b + 10x = 0
The solution to this equation could not be determined.
Answer:
a = 10 and b = 8
Step-by-step explanation:
comparing the two equations
(ECONOMICS- sorry there’s no button for it )
What motivates producers and consumers in the black market
The motivations for producers and consumers in the black market are largely driven by financial incentives and a desire to avoid legal consequences.
The black market refers to the illegal trade of goods and services that are not permitted by law, such as drugs, counterfeit items, and stolen goods. Producers and consumers in the black market are motivated by a variety of factors, including:
High profits, Producers in the black market can earn higher profits than they would in legal markets due to the lack of regulation and taxes.
Escaping legal consequences: Producers and consumers may participate in the black market to avoid legal consequences, such as fines or imprisonment, for engaging in illegal activities.
Limited availability, Some goods and services are only available on the black market due to legal restrictions or limited supply.
Low prices, Consumers in the black market can often purchase goods and services at lower prices than in legal markets due to the lack of taxes and regulations.
Desire for anonymity, The black market can provide anonymity for both producers and consumers, allowing them to engage in illegal activities without fear of detection or retribution.
However, participating in the black market also comes with significant risks, including the possibility of arrest, fines, and even violence.
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35 is what percent of 105
Answer:
33.33%
Step-by-step explanation:
We Take
(35 ÷ 105) x 100 ≈ 33.33%
So, 35 is 33.33% of 105
suppose that the number of bacteria in a certain population increases according to a continuous exponential growth model, with a growth rate parameter of per hour. suppose also that a sample culture of bacteria is obtained from this population. find the size of the sample after two hours. round your answer to the nearest integer.
The size of the sample after two hours would be 682. This is calculated using the formula N(t) = N(0) * e^(rt), where N(t) is the number of bacteria after t hours, N(0) is the initial number of bacteria, r is the growth rate parameter (in this case 0.5 per hour) and t is 2 hours. Therefore, N(2) = 682.
What is the constant in 12r + r/2-19
Answer:
constant is - 19
Step-by-step explanation:
the constant is the term in an expression with no variable attached to it.
12r + \(\frac{r}{2}\) - 19
the only term without the variable r attached to it is - 19
then the constant term is - 19
Which insect measurement was the most frequent?
Length of insects (in inches)
The insect measurement that was the most frequent is given as follows:
1 and 1/4 inches.
How to obtain the most frequent insect measurement?A dot plot is a simple graphical display that uses dots to represent data values. It is also sometimes called a dot chart or a scatterplot. In a dot plot, each data point is represented by a dot along a number line or axis, where the position of the dot corresponds to the value of the data point.
Hence, a dot plot shows the number of times that each observation appeared in the data-set.
The observation with the most dots is the observation 2/8 of the way between 1 and 2, hence the most frequent observation is given by the following mixed number:
1 and 2/8 = 1 and 1/4 inches.
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The difference between two numbers is -1 and their sum is 1. Find the two numbers.
Answer:
Let the no. be X and Y
X - Y = (-1)
X + Y = 1
X = (-1)+ Y
X = 1 - y
- 1.+ y = 1 - y
Y + Y = 1 + 1
2y = 2
Y = 1
X = 0
Answer:
x = 0 (first number), y = 1 (second number)
Step-by-step explanation:
x will represent the first number, and y will represent the second.
x - y = -1
x + y = 1
Now, it's time to get y by itself in one equation so that we can substitute.
x - y = -1 (subtract x from both sides)
-y = -1 - x (multiply both sides by -1)
y = x + 1
Plug in x + 1 for y in the second equation.
x + x + 1 = 1 (combine the x with the x)
2x + 1 = 1 (subtract 1 from both sides)
2x = 0 (divide both sides by 2)
x = 0
Since x = 0, we can plug 0 in for x into any equation to solve for y.
0 + y = 1
y = 1
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in forming a 95% confidence interval for a population mean from a sample size of 20, we can proceed with large sample inference. True or False ?
As per the given confidence interval, the given statement "in forming a 95% confidence interval for a population mean from a sample size of 20, we can proceed with large sample inference" is false.
Confidence interval,
in probability , confidence interval refers the probability that a population parameter will fall between a set of values for a certain proportion of times.
Given,
in forming a 95% confidence interval for a population mean from a sample size of 20, we can proceed with large sample inference.
Here we need to find the given statement is true or false.
While we looking into the given question, we have identified that the value of
Confidence interval = 95%
Sample size = 20
Then the sample inference is calculated as, if we were to take 20 different samples and compute a 95% confidence interval for each sample, then approximately 95 of the 100 confidence intervals will contain the true mean value (μ).
Therefore, the statement is in correct.
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A meal plan lets students buy $20 meal cards. Each meal card lasts about 8 days. write and graph equation
Step-by-step explanation:
Given that,
A meal plan lets students buy $20 meal cards.
Each meal card lasts about 8 days.
Let us assume that y denotes number of days for a 20 dollar meal card i.e. $20 every 8 days.
Let x = number of $ for another day.
So,
\(y=\dfrac{8}{20}x+8\)
\(y=\dfrac{2}{5}x+8\)
Hence, this is the required equation.
The half-life of a radioactive isotope is the time it takes for a quantity of the isotope to be reduced to half its initial mass. Starting with grams of a radioactive isotope, how much will be left after 4 half-lives?
After 4 half-lives, only 1/16th (or 0.0625) of the initial amount of the radioactive isotope will remain.
The amount of a radioactive isotope remaining after a certain number of half-lives can be calculated using the formula:
Amount remaining = Initial amount × (1/2)^(number of half-lives)
In this case, we are given the initial amount as "grams" and we want to find out the amount remaining after 4 half-lives.
So, the equation becomes:
Amount remaining = Initial amount × (1/2)^4
Since each half-life reduces the quantity to half, (1/2)^4 represents the fraction of the initial amount that will remain after 4 half-lives.
Simplifying the equation:
Amount remaining = Initial amount × (1/16)
Therefore, after 4 half-lives, only 1/16th (or 0.0625) of the initial amount of the radioactive isotope will remain.
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Which are equivalent expressions?
Check all that are true.
A)8xy = 4x + 4y
B)x + 6x = 7x
C)x + 6y = 6xy
D)9x + 6y = 3(3x + 2y)
E)9a + 6b + 3c = 3(3a + 2b + c)
Answer:
DE
Step-by-step explanation:
D)9x + 6y = 3(3x + 2y)
E)9a + 6b + 3c = 3(3a + 2b + c)
there have the same concept
3*3x equals 9x and 3*3a is 9a
If sin x=0.2, write down the values for sin (pi-x)
If the value of sin x = 0.2, then the values for sin(π - x) is 0.2.
Given that,
the value of sin x = 0.2
We have to find the value of sin(π - x).
We know the trigonometric rule that,
sin(π - x) = sin (x)
for any value of x.
So here whatever the value of x, the value of sin(π - x) is sin (x) itself.
So here sin x = 0.2.
So, by the rule,
sin(π - x) = sin (x) = 0.2
Hence the value is 0.2.
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In ΔFGH, f = 6.6 cm, g = 3.3 cm and ∠H=6°. Find the length of h, to the nearest 10th of a centimeter.
Answer:
2.3
Step-by-step explanation:
deltamath
The length of h is 3.3 cm.
What is Cosine Formula?According to the Cosine Rule in trigonometry, the square of the length of any side of a given triangle equals the sum of the squares of the other sides minus twice the product of the other two sides multiplied by the cosine of the angle that separates them. Law of cosines and Cosine Formula are other names for the cosine rule.
Given:
f = 6.6 cm, g = 3.3 cm and ∠H=6.
Using Cosine Formula
cos <H= f² + g² - h² / 2fg
cos < H = (6.6)² + ( 3.3)² - h² / 2(6.6)(3.3)
cos 6 = 43.56 + 10.98 -h² / 43.56
43.56 cos 6 = 54.54 - h²
h= √ 54.54 - 43.56 cos 6
h= √11.13
h = 3.3 cm
Hence, the length of h is 3.3 cm.
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26. My little brother has a 4-digit bike lock with the digits 0 to 9 on each part of the lock as shown. He started on the correct combination and turned each part the same amount in the same direction and now the lock shows the combination 6348. Which of the following CAN- NOT be the correct combination of my brother's lock? (A) 8560 (B) 3015 (C) 4906 (D) 1893 (E) 6348 0782 Activate Windows
Answer:
A
Step-by-step explanation:
The answer is option (A) 8560. This combination cannot be the correct combination for your brother's lock because it contains the digit '6' in the same position as the correct combination (6348), but the other digits do not match.
Which equation does the following grid represent? X X XX X XX X X XX X X XX X X A 0.92 - 0.19 = 0.73 OB. 0.73 +0.19 = 0.92 O C. 1.00 - 0.19 = 0.81 O D. 1.00 +0.73 = 1.73
In the Diagram,
We have a box
Total squares: 100
In Red we have= 92 squares
The blank squares= 8
"X" squares = 19
2) Then, Dividing each by 100:
0.92 red -0.19x =0.73 the amount of red squares not marked with an x
on : to show More... Then click on √x to enter your answers using the Math Equation editor. Question 5 A frog with bionic legs leaps from a stump with an initial velocity of 64 ft/sec. It is determined that the height of the frog as a function of time can by modeled by h (t) = − 16t² +64t + 3. What is the height of the stump? O 3 ft -3 ft O 16 ft O 64 ft ◄ Previous 1 pts M Next ▸
The height of the stump is 3 ft.
The given equation represents the height of the frog, h(t), as a function of time, t. To find the height of the stump, we need to determine the height when the time, t, is equal to 0.
In the equation h(t) = -16t² + 64t + 3, we substitute t = 0:
h(0) = -16(0)² + 64(0) + 3
Since any term multiplied by zero is zero, we can simplify further:
h(0) = 0 + 0 + 3
Therefore, the height of the stump, at time t = 0, is 3 ft. This means that when the frog initially leaps from the stump, the height of the stump itself is 3 ft.
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