A rectangular prism with length and, width w, and height hhh has a volume of, w, h. What is the volume of a prism which has a base of 5\text{ m}5 m5, start text, space, m, end text by 3\text{ m}3 m3, start text, space, m, end text, and a height of 4\text{ m}4 m4, start text, space, m, end text

Answer:

Step-by-step explanation:

Slope =

\( \frac{change \: in \: y}{change \: in \: x} \)

X1=2 X2=7

Y1=-1 Y2=-1

hence

\( \frac{ - 1 - ( - 1)}{7 - 2} \)

\( \frac{ - 1 + 1}{7 - 2} \)

\( \frac{0}{5} \)

\(slope = 0\)

Answer:

145

Step-by-step explanation:

Cuánto es means what is the answer

35 - (-110)

Two negative signs equal a positive sign

35 + 110 = 145

Answer:

3,675 people

Step-by-step explanation:

First row, a = 20

Common difference, d = 5

number of terms, n = 35

Sn = n/2 {2a + (n - 1)d}

= 35/2 {2*20 + (35 - 1)5}

= 35/2 {40 + ( 34)5}

= 17.5(40 + 170)

= 17.5(210)

= 3,675 people

The answer is actually 3675.

My reasoning: Plug it in and you shall see!

The measure of angle A is 140°

A parallelogram is a quadrilateral with two pairs of parallel sides.

Some of the properties of a parallelogram includes:

1. The opposite sides are equal

2. The sum of adjascent angles are supplementary.

3. A parallelogram consist of two pair of parallel lines.

Therefore;

20x + 80 + 13x +1 = 180

33x + 81 = 180

33x = 180 -81

33x = 99

x = 99/33

x = 3

Therefore since x is 3 we can evaluate angle A as;

A = 12x + 104

= 12 × 3 + 104

36 + 104

angle A = 140°

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\( &#128075 \) Hello ! ☺️

Step-by-step explanation:

\( 103 = - 7(x + 8) + 7(x + 7) \)

\( 103 = - 7x - 56 + 7x + 49 = 0x + 7 \)

0x= 7 => x ∉ |R

\(\boxed{\color{gold}{S = ∅}} \)

Jamie is right.

* Any number multiplied by 0 gives 0.

In order to create a diagram that represents the quantities of each ingredient adde, could be:

CM = X X X

FB = X X

CS = x

Where CM is Cups of Milk, FB is Frozen Bananas and CS is Chocolate Syrup. There, x representent the ammount of each ingredient.

Now, we determine the proportions of the ingredients:

There are 3 cups of milk per two frozen bananas (3:2)

There are 2 frozen banas per tablespoon of chocolate syrup (2:1).

There are 3 cups of milk per tablespoon of chocolate syrup (3:1).

Now, in order to write 3 sentences that contain the ratio of the ingredients we could think of it as a recipe:

*"In order to get this smoothie we will need 3 cups of milk and a tablespoon of chocolate syrup."

*"We will also add 2 frozen bananas for each tablespoon of chocolate syrup."

*"Remember that that is the ammount of ingredients per serving, so if you want more servings you will also need another extra 3 cups of milk, 2 frozen bananas and 1 tablespoon of chocolate syrup for each extra serving."

Answer:

3.87 miles

Step-by-step explanation:

The attached figure gives the relative locations of the courthouse, the library and the pool.

The three locations represent a right triangle with the distance between courthouse - pool as the hypotenuse and the distance between courthouse - library as the vertical leg

By the Pythagorean theorem if c is the hypotenuse and a, b the other two legs

\(c^2 = a^2 + b^2\)

a = distance between courthouse and library = 7 miles
c = distance between courthouse  and pool = 8 miles
and we have to find b

So plugging in known values
\(8^2 = 7^2 + b^2\\\\b^2 = 8^2 - 7^2\\\\b^2 = 64 - 49\\\\b^2 = 15\\\\b= \sqrt{15} = 3.87298 \approx 3.87 \;miles\)

The volume of the cylinder with a base radius 3 and height 8 is 72π cubic units.

This question is incomplete, the complete question is:

What is the volume of a cylinder with base radius 3 and height 8?

Either enter an exact answer in terms of π or use 3.14 for π and enter your answer as a decimal.

A cylinder is simply a 3-dimensional shape having two parallel circular bases joined by a curved surface.

The volume of a cylinder is expressed as;

V = π × r² × h

Where r is radius of the circular base, h is height and π is constant pi.

Given that:

Radius r = 3 units

Height h = 8 units

Volume V = ?

Plug the values into the above formula and solve for V.

V = π × r² × h

V = π × 3² × 8

V = 72π cubic units.

Therefore, the volume is 72π cubic units.

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In this scenario, the objective is to compare the preferences for room temperature between two independent groups: men and women. The data collected from the two groups are considered independent because the preferences of one group do not affect the preferences of the other group.

To determine if there is a significant difference in the mean ideal room temperature between men and women, a hypothesis test comparing the means of the two groups would be conducted. This involves formulating null and alternative hypotheses, selecting an appropriate test statistic (such as a t-test), and calculating the p-value to assess the statistical significance of the observed difference.

By comparing the means of the two independent samples (men and women), we can determine if there is enough evidence to conclude that men and women have different preferences for room temperature.

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Answer:

No solution

Step-by-step explanation:

In pic

(Credits: Symbolab)

(Hope this helps can I pls have brainlist (crown)☺️)

answer: 1 0 + 9

Step-by-step explanation:

combine like terms

9 + 5m + 5m

9 + 10m

NOW rearrange terms

9 + 10m

10m + 9

the answer to your question is x=0

X=0

−32−8x=−7x+8(8x−4)

−8x−32=−7x+8(8x−4)

−8x−32=−7x+64x−32

−8x−32=57−32

−8−32+32=57−32+32

−8=57

If a normal distribution has a mean of 4 and a standard deviation of 1.5. what is the z-score of x= 5.5 is 1

The mean of the normal distribution = 4

Standard deviation of the normal distribution = 1.5

The value of x = 5.5

The z-score of the normal distribution = The mean of the normal distribution / Standard deviation of the normal distribution

Substitute the values in the equation

The z-score of the normal distribution  = (5.5 - 4) / 1.5

Substract the terms

= 1.5 / 1.5

= 1

Hence, if a normal distribution has a mean of 4 and a standard deviation of 1.5. what is the z-score of x= 5.5 is 1

The complete question is:

suppose a normal distribution has a mean of 4 and a standard deviation of 1.5. what is the z-score of x = 5.5

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Answer:

R is reflexive and transitive but not symmetric.

Step-by-step explanation:

R = {(a, b); a ≤ b}

Clearly (a, a) ∈ R as a = a.

R is reflexive.

Now,

(2, 4) ∈ R (as 2 < 4)

But, (4, 2) ∉ R as 4 is greater than 2.

R is not symmetric.

Now, let (a, b), (b, c) ∈ R.

Then,

a ≤ b and b ≤ c

→ a ≤ c

→ (a, c) ∈ R

R is transitive.

Thus, R is reflexive and transitive but not symmetric.

Answer:

40 percent

Step-by-step explanation:

22/55 = 0.4

0.4 = 40%

check answer: 55 x 0.4 = 22

Given:

The expression is:

\(13-\dfrac{5}{y}\)

To find:

The description that matches the given expression.

Solution:

We have,

\(13-\dfrac{5}{y}\)

Here, \(\dfrac{5}{y}\) is describes as the quotient of five and a number and the minus sign describes the difference between 13 and the quotient.

So, the description that matches the given expression is "difference of thirteen and the quotient of five and a number".

Therefore, the correct option is C.

Answer:

the difference of thirteen and the quotient of five and a number

Step-by-step explanation:

Therefore , the percentage of case 1 is 68% and percentage of case 2 is 47.4%

One percent (symbolized as 1%), being the hundredth component, is represented as 100 percent, while 200 percent signifies twice the amount specified. As an illustration, 1% of 1,000 chickens is equal to 1/100 of 1,000, or 10 birds, and 20% of the quantity is equal to 20% of 1,000, or 200.

Here,

Given: Total number of freshman =500

mean =75 and standard deviation =7

a) the percentage of scores that fell between 68 and 82

340 is the number of freshman whose  scores that fell between 68 and 82

thus,

percentage = 340 /500 * 100

=> percentage = 68%

b)the percentage of scores that fell between 61 and 75

237 is the number of freshman whose  scores that fell between 61 and 75

thus,

percentage = 237/500 * 100

=> percentage = 47.4%

Therefore , the percentage of case 1 is 68% and percentage of case 2 is 47.4%

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Answer:

24

Step-by-step explanation:

(1) The area of the trapezoid is 192 square meters.

(2) The area of the circle is A = 144π square cm or A ≈ 452 square cm.

(3) The circumference of the circle is C = 24π cm or C ≈ 75 cm.

(4) The perimeter of the figure is ≈ 110 cm.

(5) The area of the figure is 321 square meters.

The measurement that indicates the size of a region on a plane or curved surface is called the 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 form or planar lamina.

(1)

The height of the trapezoid is 12m and the lengths of the parallel sides are 11m and 21 m.

The area of the trapezoid is:

A = (1/2)(11 + 21)(12)

A = 192 square meters.

(2)

The area of the circle with a radius of 12 cm is:

A = π(12)²

A = 144π

A ≈ 452 square cm.

(3)

The circumference of the circle with a radius of 12 cm is:

C = 2π(12)

C = 24π

C ≈ 75 cm

(4)

To find the perimeter of the figure, first, find the circumference of the semicircle,

The diameter of the semicircle is 30 - 12 = 18.

Therefore, the radius is 18/2 = 9 cm.

Hence, the perimeter of the figure is:

12 + 20 + 30 + 20 + π(9)

≈ 110 cm

(5)

To find the area of the figure, first, find the area of the large horizontal rectangle, then the upper triangular part, and then the lower rectangular part, and add them together.

The area of the large horizontal rectangle is:
(24 + 5) × 8

= 232

The area of the triangular portion is:

(1/2)×(24 + 5 -10 -10)×12

= 54

The area of the small rectangular part is:
5×7

=35

Now, add all the areas together to find the total area of the figure:

232 + 54 + 35

= 321

Hence, the area of the fifth figure is 321 square meters.

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If a 4x1 MUX is not available, we can also implement the expression F(A, B, C) using a 2x1 MUX. In this case, we would need to use multiple 2x1 MUXes and combine their outputs to achieve the desired function. However, the 4x1 MUX is more straightforward and efficient for this particular expression.

To implement the Boolean expression F(A, B, C) = (A + B + C)(A' + C')(B + C') using a 4x1 multiplexer (MUX), we can consider the inputs A, B, and C as the select lines of the MUX, while the complement of A (A'), the complement of C (C'), and the expression (B + C') can be used as the data inputs. The output of the MUX will represent the function F.

The inputs A, B, and C are used to select the appropriate data input. We can set up the MUX as follows:

• Connect A' to one of the data inputs of the MUX.

• Connect C' to the other data input.

• Connect B + C' to the MUX's single-bit output.

By setting up the MUX in this way, we effectively implement the expression (A' + C')(B + C'), which is equivalent to the expression F(A, B, C).

If a 4x1 MUX is not available, we can also implement the expression F(A, B, C) using a 2x1 MUX. In this case, we would need to use multiple 2x1 MUXes and combine their outputs to achieve the desired function. However, the 4x1 MUX is more straightforward and efficient for this particular expression.

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To determine if a difference exists in a psychologist's income as a function of residential status (urban vs. rural), the demographer can use the Independent Samples t-test.

The Independent Samples t-test is appropriate when comparing the means of two independent groups. In this case, the demographer has two independent samples: one from psychologists in urban areas and another from psychologists in rural areas.

The test will assess whether there is a statistically significant difference between the mean incomes of psychologists in urban and rural areas. It takes into account the variability within each group and provides a p-value indicating the likelihood of obtaining the observed difference in means by chance.

By conducting an Independent Samples t-test, the demographer can determine if there is evidence to support the hypothesis that residential status has an effect on a psychologist's income.

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Answer:

B.y=(x+2)

Step-by-step explanation

By applying the definitions of rigid transformation ((x, y) → (0.5 · x, 0.5 · y)) and dilation, we conclude that the coordinates of Q'(x, y) are (0.1).

Herein we must apply a rigid transformation into a given point to determine an image. Rigid transformations are transformations applied on a geometric locus such that Euclidean distance is conserved. Dilations are a kind of rigid transformations such that:

(x, y) → (k · x, k · y), for k > 0

If we know that Q(x, y) = (0, 2) and k = 0.5, then the coordinates of Q' are:

Q'(x, y) = (0.5 · 0, 0.5 · 2)

Q'(x, y) = (0, 1)

By applying the definitions of rigid transformation ((x, y) → (0.5 · x, 0.5 · y)) and dilation, we conclude that the coordinates of Q'(x, y) are (0.1).

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Answer: Q' = (0,1)

Step-by-step explanation: just did it on edge

Using the remainder theorem, we found that c = -7 is indeed a zero of the polynomial f(x) = -4x^3 - 28x^2 - 3x + 21 because the remainder obtained from dividing the polynomial by (x + 7) was zero.

No, c = -7 is not a zero of the polynomial.

To determine if c = -7 is a zero of the polynomial f(x) = -4x^3 - 28x^2 - 3x + 21, we can use the remainder theorem. According to the theorem, if c is a zero of the polynomial, then when we divide the polynomial by (x - c), the remainder should be zero.

Let's divide the polynomial by (x + 7) to check if the remainder is zero:

    -4x^3 - 28x^2 - 3x + 21 ÷ (x + 7)

Using polynomial long division:

          -4x^2  +  0x  -  3

   ------------------------

x + 7 | -4x^3 - 28x^2 - 3x + 21

         -4x^3 - 28x^2

         ----------------

                        0x^2 - 3x

                        0x^2 + 0x

                        -----------

                                    -3x + 21

                                    -3x + 21

                                    ----------

                                                0

The remainder is zero, which means that (x + 7) evenly divides the polynomial. Therefore, c = -7 is a zero of the polynomial.

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The given initial value problem's exact solution: y(t) = 1, and thus y(1) = 1. The Euler approximation of y(1) using a step-size h = 0.5 i: y(1) ≈ 1. Given the initial value problem:

y' = ty ' (0)

 = 0

We are to determine the exact solution y(t) and compute y(1), and also find the Euler approximation of y on the interval [0, 1] using a step-size h = 0.5 (half step size).

(a) The given initial value problem is a first-order linear differential equation, whose standard form is:

y' + P(t)y = Q(t), where P(t) = 0 and Q(t) = 0. Thus, the integrating factor is:

I(t) = e^∫ P(t)dt

      = e^∫ 0 dt

      = 1.

The exact solution y(t) is obtained by multiplying both sides of the differential equation by the integrating factor,

I(t) = 1, and integrating:

y' + P(t)y = Q(t) becomes

y' + 0y = 0, which implies

y' = 0.

Hence, y(t) = Ce^0 = C, where C is a constant determined using the initial condition y(0) = 1. Therefore, we have:

C = y(0) = 1.

Hence, the initial value problem's exact solution is y(t) = 1, and thus y(1) = 1.

(b) Euler Approximation of y using step-size h = 0.5We have h = Δt = 0.5, t0 = 0, tn = 1. The number of steps, n, is given by:

n = (tn - t0)/h

n = (1 - 0)/0.5

n = 2.

Therefore, we have two grid points:

t0 = 0, and

t1 = 0 + 0.5

  = 0.5

For the Euler approximation of y on [0, 1], we use the formula:

yi+1 = yi + h * f(ti, yi), for i = 0, 1, 2, ..., n - 1, where

f(ti, yi) = tiyi

= (0)(yi)

= 0, for i = 0, 1, 2, ..., n - 1.

Hence, we have:

y0 = y(0) = 1, and

y1 = y0 + h * f(t0, y0)

= y0 + h * 0

= 1 + 0

= 1

Therefore, the Euler approximation of y(1) using a step-size h = 0.5 is: y(1) ≈ y1 = 1. Therefore, y(1) ≈ 1. The exact solution of the given initial value problem is: y(t) = 1, and thus y(1) = 1. The Euler approximation of y(1) using a step-size h = 0.5 is: y(1) ≈ 1.

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The function for the line of points (2,3),(4,5) and (2,1)  is b. y = x - 1.

To determine which of the given options represents a function for the line passing through the points (2,3), (4,5), and (2,1), we need to check if the x-coordinate is uniquely paired with a y-coordinate for each point.

Using the given points, we can calculate the slope (m) of the line:

m = (5 - 3) / (4 - 2) = 2 / 2 = 1.

Next, we can substitute the slope (m) and one of the points (x, y) into the slope-intercept form (y = mx + c) to find the y-intercept (c):

3 = 1 * 2 + c,

3 = 2 + c,

c = 3 - 2 = 1.

Therefore, the equation of the line becomes y = x + 1. Since this equation satisfies all three points, it is the correct function for the line passing through the given points. Thus, option b. y = x - 1 is the function for the line.

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Answer:

The rate is 0.9 gallon per minute

Step-by-step explanation:

Here, we have 4.5 gallons drained in 5 minutes but we are interested in calculating the rate per minute

Let the amount drained per minute be x

4.5 gallons = 5 minutes

x gallon = 1 minute

Let’s cross multiply;

x * 5 = 4.5 * 1

5x = 4.5

x = 4.5/5

x = 0.9 gallons

Answer:

12 sq. units

Step-by-step explanation:

The formula for finding the area of a triangle is a = 1/2bh, or 1/2 times base times height.

To do this, multiply the base (6) and height lengths (4). This gets you 24.

But we're not done. You must then multiply by 1/2, which is the same a dividing by 2/1 or 2. 24/2 = 12. Slap on the unit of measurement and you've got your answer.