Containers that have different shapes can not have the same volume.
A. True
B. False

Answer:

75

Step-by-step explanation:

120 ÷ 1.6 = 75 since 1.6 kilometer per hour is 1 mile, the car travels 75 miles per hours

Answer:

The car travels 75 miles per hour

Step-by-step explanation:

Units of Length

The most common units of distance are millimeters, centimeters, meters, miles, and kilometers.

The equivalence from miles to kilometers is:

1 mile = 1.6 Kilometers

If we wanted to convert a given distance from kilometers to miles, we'd need to divide by 1.6,  that is:

d(miles) = d(km)/1.6

The above equation can be used to find the number of miles given the number of kilometers.

If a car travels at 120 kilometers per hour, then in one hour it travels

d(km)=120

Thus, the distance in miles is:

d(miles) = 120/1.6 = 75

The car travels 75 miles per hour

Answer:

\(\displaystyle y = -\frac{2}{3}\, x - 9\).

Step-by-step explanation:

The slope-intercept form of a line on a cartesian plane should be in the form:

\(y = m\, x + b\),

where:

The question states that the slope of this line is \(\displaystyle -\frac{2}{3}\). In other words, \(\displaystyle m = -\frac{2}{3}\). The next step is to find the value of \(b\). That could be done using the information that the point \((-6,\, -5)\) is on this line.

Note that the slope-intercept form of a line \(y = m\, x + b\) is essentially an equation about \(x\) and \(y\). For a point \((x_0,\, y_0)\) to be on that line, \(x = x_0\) and \(y = y_0\) should satisfy its equation. In other words, it must be true that \(y_0 = m\, x_0 + b\).

For the point \((-6,\, -5)\), \(x_0 = -6\) and \(y_0 = -5\). The equation would be:

\(\underbrace{-5}_{y_0} = m \times \underbrace{(-6)}_{x_0}+ b\).

Besides, the slope of this line is already known to be \(\displaystyle m = -\frac{2}{3}\). Therefore, this equation would become:

\(\displaystyle \underbrace{-5}_{y_0} = \underbrace{\left(-\frac{2}{3}\right)}_{m} \times \underbrace{(-6)}_{x_0}+ b\).

Solve this equation for \(b\):

\(b = -9\).

Hence, the slope-intercept form (\(y = m\, x + b\)) of this line would be:

\(\displaystyle y = -\frac{2}{3}\, x - 9\).

Variance is the exact average deviation of data values from the mean in squared units and the Standard deviation of data values from the mean in regular units.

Variance is a statistical measure of the dispersion of numbers in a data collection. Variance estimates how much more each number in the set deviates from the mean, and from each and every other number in the set.

The variance is a measure of the degree of variability. It is determined by averaging the squared deviations out of the mean.

The greater the spread of the data, the greater the variance in proportion to the mean.

The standard deviation is determined as the square root of variance by calculating the departure of each data point from the mean. The standard deviation represents the average level of variation in your dataset. It informs you how far each number deviates from the mean on average.

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The value of the number is x = 34.

Let's break down the problem and solve it step by step.

1. "Five less than twice the value of a number": This can be represented as 2x - 5, where x is the number.

2. "Three times the quantity of 4 more than 1/2 the number": This can be represented as 3 * (x/2 + 4).

According to the problem statement, the two expressions are equal. We can set up the equation as follows:

2x - 5 = 3 * (x/2 + 4)

Now, let's solve the equation:

2x - 5 = 3 * (x/2 + 4)

Distribute the 3 to both terms inside the parentheses:

2x - 5 = (3/2)x + 12

Multiply through by 2 to eliminate the fraction:

2(2x - 5) = 2((3/2)x + 12)

4x - 10 = 3x + 24

Next, let's isolate the x term by moving the constant terms to the other side of the equation:

4x - 3x = 24 + 10

Simplify:

x = 34

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Answer:

u = 7

Step-by-step explanation:

Answer:

The coefficient of \(x^{4}\)\(y^{3}\) is -280

Step-by-step explanation:

Solving the Binomial expansion using the Pascal's triangle, it would be observed that an expansion to the power of 7 can be solved using;

1  7  21  35  35  21  7  1

Thus;

\((x - 2y)^{7}\) = 1. \(x^{7}\) + 7.\(x^{6}\)(-2y) + 21.\(x^{5}\)\((-2y)^{2}\) + 35.\(x^{4}\)\((-2y)^{3}\) + 35.\(x^{3}\)\((-2y)^{4}\) + 21.\(x^{2}\)\((-2y)^{5}\) + 7.x\((-2y)^{6}\) + \((-2y)^{7}\)

        = \(x^{7}\) -14\(x^{6}\)y +84\(x^{5}\)\(y^{2}\) -280\(x^{4}\)\(y^{3}\) + 560\(x^{3}\)\(y^{4}\) - 672\(x^{2}\)\(y^{5}\) + + 448x\(y^{6}\) - 128\(y^{7}\)

Therefore, the coefficient of \(x^{4}\)\(y^{3}\) is -280

Answer:

In order to find the missing number (X), you must first identify the pattern in the set of numbers. Upon a glance, you can determine that the pattern starts with 4 and then the next number is 2n+1, with n being the preceding number in the set.

\(\large\huge\red{\sf{➡ANSWER ⤵}}\)

Answer:

To find the value of "a" when you know the perimeter of a shape, you need to know the specific shape you're referring to. Please provide more information about the shape in question, such as whether it's a rectangle, triangle, or another geometric figure. Additionally, if you have any specific measurements or relationships between the sides of the shape, please provide them as well.

a) The distance of the stone above ground level at any time t is given by h(t) = 950 + 4.9t², where h(t) is measured in meters and t is measured in seconds.

b) It takes approximately 13.93 seconds for the stone to reach the ground.

c) The stone strikes the ground with a velocity of approximately 136.04 m/s.

d) It takes approximately 16.75 seconds for the stone thrown downward with a speed of 6 m/s to reach the ground.

When objects are dropped or thrown from a height, their speed and position can be determined using physics equations. In this problem, we will calculate the distance, time, and velocity of a stone dropped from a tower.

First, we need to determine the equation for the height of the stone above the ground at any given time t. We can use the formula:

h(t) = h0 + vt + 0.5at²

where h0 is the initial height, v is the initial velocity (which is zero for a dropped object), a is the acceleration due to gravity (g = 9.8 m/s^2), and t is the time since the stone was dropped.

Using the given values, we can plug in the numbers and simplify:

h(t) = 950 + 0t + 0.5(9.8)t²

h(t) = 950 + 4.9t²

To find the time it takes for the stone to reach the ground, we need to set h(t) = 0 and solve for t:

0 = 950 + 4.9t^2

t^2 = 193.88

t ≈ 13.93 seconds

To find the velocity at which the stone strikes the ground, we can use the formula:

v = v₀ + at

where v₀ is the initial velocity (which is zero for a dropped object) and a is the acceleration due to gravity (g = 9.8 m/s²). We can plug in the values for t and solve for v:

v = 0 + 9.8(13.93)

v ≈ 136.04 m/s

Finally, if the stone is thrown downward with a speed of 6 m/s, we can use the same formula for h(t) as before, but with an initial velocity of -6 m/s. We can then find the time it takes to reach the ground using the same method as before:

h(t) = 950 - 6t + 0.5(9.8)t²

0 = 950 - 6t + 4.9t²

t² - 1.22t - 193.88 = 0

t ≈ 16.75 seconds

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Answer:

2

Step-by-step explanation:

You should substitute x = -1 to the f(x) and you will find:

\(f(-1)=\left(\frac{1}{2}\right)^{-1}=\frac{1}{2^{-1}}=2\)

So, the answer for the ? is 2.

A similar image has an equal corresponding ratio thus the two figures are not similar because 4/8 ≠ 6/10.

Similar figures are those figures which are identical in shape, but not necessarily in size.

Two squares with sides of 10 and 5 are similar because their shape is exact but the size is different.

Given two rectangles,

The first one is with a length of 8 and a width of 4 while the second one is a length of 10 and a width of 6.

Corresponding ratio of width to length

4/8 and 6/10

4/8 = 1/2 and 6/10 = 3/5

Since 1/2 ≠ 3/5 thus both will not be similar.

Hence "A similar image has an equal corresponding ratio thus the two figures are not similar because 4/8 ≠ 6/10".

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Answer:

x = 1, x = -5

\(x/5 = 1/x+4\\Apply Fraction and Multiply : \\\\x(x+4)=5 x 1\\Simplify :\\x(x+4) = 5\\Solve.\)

I hope this is what you were looking for !

Answer:

65/100

Step-by-step explanation:

13/20 is equal to 65/100

Answer:

D

Step-by-step explanation:

percent means out of 100

13/20 multiplying both sides by 5 we get

65/100

therefore m=65, n=100

so D

if my answer helped please mark as brainliest.

The correct answer is (j - k)(x) = 10 + x.

To find the difference in the amount of money between Joel's and Kevin's accounts, we subtract the value of Kevin's account (k(x)) from Joel's account (j(x)).

(j - k)(x) = (25 + 3x) - (15 + 2x)

            = 25 - 15 + 3x - 2x

            = 10 + x

This expression represents how much more money is in Joel's account compared to Kevin's account after x weeks.

Therefore, the correct function is (j - k)(x) = 10 + x.

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Answer:

4 11/12

Step-by-step explanation:

2 1/4 + 8/3

9/4 + 8/3

23/12 + 32/12

59/12

4 11/12

Step-by-step explanation:

Given

the function c(y)=-6y-5

Now put y=-4

we get

c(-4)=-6(-4)-5

c(-4)=24-5

c(-4)=19

therefore the value of c(-4) is 19

Answer:

31.4

Step-by-step explanation:

d = 10

radius times 2 = d

multiply the circle's diameter by pi (3.14).

31.4

Answer:

1300

Step-by-step explanation:

1256, if something is more than 5 then it goes up but if it's 4 or lower it goes down so 1256 rounded up to the nearest hundredth is 1300. Also because 1256 is closer to 1300 than it is to 1200.

Answer:

1300

Step-by-step explanation:

1256 when rounding to the nearest hundredth, you look at the number behind it, 4 or less round down; 5 or more round up. Since in the tenth place there's a 5 you round up to 1300.

Answer:

A

Step-by-step explanation:

The correct statement describing the graph is ''Function has the same horizontal asymptote as fand a vertical asymptote at x = 6''.

A vertical asymptote occurs in rational functions at the points when the denominator is zero and the numerator is not equal to zero.

here, we have,

We have to determine

Which statement correctly describes the graph of g(x) = f(x - 9)?

According to the question

Graph;

The straight-line x=6 is a vertical asymptote of the graph of the function  if at least one of these conditions is true:

Vertical asymptotes are the vertical lines corresponding to the zeroes of the denominator of the rational number, to calculate the vertical asymptotes simply put the denominator of the rational number to zero, and solve for x, this is the required vertical asymptotes, if the denominator of the rational number is a quadratic, cubic types equations or any other polynomial then simplify put the whole equation to zero and simplify used any method for x, this is the required vertical asymptotes.

Hence, Function has the same horizontal asymptote as fand a vertical asymptote at x = 6.

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Answer:

\(log_4(\frac{xy}{3})=log_4(x) + log_4 (y) - log_4 (3)\)

Step-by-step explanation:

using the properties of logarithms, the log of a product gives the addition of logs, and the log of a quotient gives the subtraction of logs;

\(log_4(\frac{xy}{3})=log_4(x) + log_4 (y) - log_4 (3)\)

Answer:

C. two-thirds raised to the fourteenth

Step-by-step explanation:

The following elements were included in the response: labeling x-axis as age, labeling y-axis as texting speed, plotting points according to age and texting speed, and identifying a relationship between texting speed and age.

In the response, the following elements were included:

1. Labeling the x-axis as the input variable, age: This is important to indicate the independent variable being plotted.

2. Labeling the y-axis as the output variable, texting speed: This is crucial to indicate the dependent variable being represented.

3  Plotting the points according to age and texting speed: This involves placing the ordered pairs (age, texting speed) on the coordinate plane, with age values on the x-axis and texting speed values on the y-axis.

4. Identifying a relationship between the change in texting speed as age increases: By analyzing the plotted points and examining the pattern or trend, one can determine if there is a relationship between age and texting speed. For example, if the texting speed generally increases as age increases or if there is a linear or nonlinear relationship between the two variables.

Including all of these elements allows for a comprehensive analysis of the relationship between age and texting speed, providing a visual representation and enabling the identification of any patterns or trends.

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Answer:

We can use proportion to solve this problem.

Let x be the cost of one invitation.

We can set up a proportion:

58/x = 87/1

To solve for x, we can cross-multiply:

58 * 1 = 87 * x

58 = 87x

x = 58/87

x = 0.67

So one invitation costs $0.67.

To find the cost of 70 invitations, we can multiply the cost of one invitation by 70:

70 * $0.67 = $46.90

Therefore, it would cost Madison $46.90 to buy 70 invitations.

Answer:

A. -0.02

Step-by-step explanation:

-\(\frac{5}{25}\)=-\(\frac{1}{5}\)

1/5 is 20%

-1/5 is -20%

-.02% is greater because it's closer to zero

Answer:

X intercepts: (-2, 0), (2, 0)

Y intercept: (0, 4)

Edited because I forgot to put in point form earlier. Depends on whether your teacher wants it in point form. If not, ignore the 0s.

Step-by-step explanation:

X intercepts are the points where a line crosses the x axis. Y intercepts are the points where a line crosses the y axis.

Answer:

A. x-intercept: (-2,0), (2,0)

A. y-intercept: (0,4)

Step-by-step explanation:

If you want to find the x and y-intercept of a line, you need to know its equation. But don't worry, it's not as hard as it sounds. Here are some tips to help you out.

One type of equation is y = mx + c, where m is the slope and c is the y-intercept. This means that the line crosses the y-axis at c. To find the x-intercept, just plug in y = 0 and solve for x. You'll get x = -c/m. Easy peasy!

For example, if the equation is y = 2x + 4, then the y-intercept is 4 and the x-intercept is -2.

Another type of equation is ax + by + c = 0, where a, b and c are constants. To find the x-intercept, plug in y = 0 and solve for x. You'll get x = -c/a. To find the y-intercept, plug in x = 0 and solve for y. You'll get y = -c/b. Piece of cake!

For example, if the equation is 3x + 2y - 6 = 0, then the x-intercept is 2 and the y-intercept is -3.

Now you know how to find the x and y-intercept of a line from its equation.Let us understand the calculations to find the x and y intercept, through the steps in the below table.

Ten times to get the required amount of 100ml of milk for her recipe.

Avery needs to measure 100ml of milk for her recipe but she only has a 10ml measuring cup.

Therefore, she needs to determine how many times she will need to fill her 10ml measuring cup to get the required amount of milk.

To calculate this, we can divide the required amount of milk by the capacity of the measuring cup. In this case, we divide 100ml by 10ml to get:

100ml ÷ 10ml = 10

This means that A very will need to fill her 10ml measuring cup 10 times to get the required amount of milk for her recipe.

Another way to think about it is to consider that 100ml is ten times the capacity of the 10ml measuring cup. Therefore, Avery will need to fill the measuring cup ten times to get the required amount of milk.

In summary, Avery will need to fill her 10ml measuring cup ten times to get the required amount of 100ml of milk for her recipe. t

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