(4x10^3) (7x10^4) perform the indicated computation

Line JN = line AE = 22ft

Line DC = Line LM = 17ft

Line KL = line BC = 12 ft

< D = <M = 158°

< K = <B = 135°

Two shapes are said to be congruent when they both have the same length size and same angle measurements.

From the given shapes, polygon ABCDE = JKLMN.

Therefore the corresponding angles and lengths is as follows:

Line JN = line AE = 22ft

Line DC = Line LM = 17ft

Line KL = line BC = 12 ft

< D = <M = 158°

< K = <B = 135°

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If the volume of three rectangular pyramids is equal to the volume of a rectangular prism, it implies that the three pyramids can be combined to form the rectangular prism.

In a rectangular prism, the volume is given by the formula V = lwh, where l is the length, w is the width, and h is the height.

Since the three pyramids have equal length, width, and height, let's denote them as x.

The volume of one rectangular pyramid is given by V = (1/3) ×  (x ×  x ×  x) = (1/3) × x³

The combined volume of the three pyramids is (3/3)× x³

= x³

To constitute the volume of the rectangular prism, the volume of the three pyramids should be equal to the volume of the prism, so we have:

x³ = lwh

Therefore, the length, width, and height of the rectangular prism are all equal to x.

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Answer:

23/45 or0.51

Step-by-step explanation:

convert:the equation

u will hv 37/9-18/5

subtract. 37/9-18/5=23/45

23/45 or 0.51

Answer:

4400 I think

Step-by-step explanation:

Answer:

Vol = 291 cm^3

Step-by-step explanation:

To find the volume of a composite shape, "cut" it into pieces, calculate the volume of each piece, then add those numbers together.

The two green pieces on top can be worked out together. Volume of a prism (box) is:

V = l×w×h

= 2×2×4

= 16

The volume of the blue box on the bottom is:

V = 5×5×11

= 275

The volume of the whole thing is:

16 + 275

= 291 cubic cm

Answer:

200 seconds

1:2 ratio for 2,000 meters and 1:3 ratio for 3,000 meters

Step-by-step explanation:

It takes the racer 100 seconds to run 1,000 meters and there is 3'000 meters so you multiply 100 times 3 to get 300.

Answer:

x = 60°

Step-by-step explanation:

Step 1:

Triangles = Equilateral Triangles           Given

Step 2:

3x = 180          Equation

Step 3:

x = 180 ÷ 3          Divide

Answer:

x = 60°

Hope This Helps :)

Answer : R0.40

Step-by-step explanation:

if you divide 20 by 50 it equals 0.4 which is also 0.40.

Answer:

Length = 22 ; width = 10

Step-by-step explanation:

Perimeter of a rectangle = 2(length + width)

Perimeter = 64 feets

Length = 2 + (2*width)

Let :

Length = l ; width = w

Perimeter = 2((2 + (2w)) + w)

64 = 2(2 + 3w)

64 = 4 + 6w

64 - 4 = 6w

60 = 6w

w = 60/6

w = 10

Width = 10

Length = 2 + (2*width) = 2 + (2*10) = 2 + 20 = 22

Inscribed angles are formed when two chords have 1 common endpoint. The measure of \(\angle ACB\) and \(\overset{\huge\frown}{AC}\)  are:

\(\angle ACB = 32^o\)

\(\overset{\huge\frown}{AC} = 146^o\)

Given that:

\(\overset{\huge\frown}{AB} = 64^o\)

\(\angle ABC = 73^o\)

See attachment

First, we calculate \(\angle ACB\) using:

\(\angle ACB = \frac{1}{2} \times \overset{\huge\frown}{AB}\) ----- An inscribed angle is half the arc it intercepts

So, we have:

\(\angle ACB = \frac{1}{2} \times 64^o\)

\(\angle ACB = 32^o\)

Using the same theorem, we calculate \(\overset{\huge\frown}{AC}\) as follows:

\(\angle ABC = \frac{1}{2} \times \overset{\huge\frown}{AC}\)

So, we have:

\(73^o = \frac{1}{2} \times \overset{\huge\frown}{AC}\)

Multiply both sides by 2

\(2 \times 73^o = 2 \times \frac{1}{2} \times \overset{\huge\frown}{AC}\)

\(2 \times 73^o =\overset{\huge\frown}{AC}\)

\(146^o =\overset{\huge\frown}{AC}\)

Hence:

\(\overset{\huge\frown}{AC} = 146^o\)

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Answer:

your correct answers are 32 and 146

Step-by-step explanation:

to get 32, divide 64 by 1/2

To get 146, multiply 73 by 2

Hope I helped, got it right on test:)

a. the cross-correlation sequence is: ry[n] = {1.15, -6.54, -3.85, 34.62, 12.77}

b. the Lp-norm of q[n] when p = 2 is 2.03 (approx).

c. the poles of H(z) are located at z = 0.57, 0.9, and 0.625

a) Evaluation of the cross-correlation sequence, rₙ, between the two sequences, xₙ and yₙ, are shown below:

Let's solve for rₙ using the given formulas for the sequences xₙ and yₙ.rₙ = Σ x[k] y[k+n] ...(1)Here, xₙ = {5eⁿ, -e, en, -e⁻¹, 2e⁻¹} and yₙ = {6eⁿ, -en, 0, -2en, 2en} for -2 ≤ n ≤ 2.r₀ = Σ x[k] y[k+0] = 5e⁰ * 6e⁰ + (-e) * (-e) + e⁰ * 0 + (-e⁻¹) * (-2e⁻¹) + 2e⁻¹ * 2e⁻¹ = 34.62r₁ = Σ x[k] y[k+1] = 5e⁰ * 6e¹ + (-e) * (-e⁰) + e¹ * 0 + (-e⁻¹) * (-2e⁻²) + 2e⁻¹ * 0 = 12.77r₂ = Σ x[k] y[k+2] = 5e⁰ * 6e² + (-e) * (-e¹) + e² * 0 + (-e⁻¹) * 0 + 2e⁻¹ * (-2e⁻³) = -3.85r₋₁ = Σ x[k] y[k-1] = 5e⁰ * (-e¹) + (-e) * 0 + e⁻¹ * (-en) + (-e⁻¹) * 0 + 2e⁻¹ * 2e⁻² = -6.54r₋₂ = Σ x[k] y[k-2] = 5e⁰ * (-2e⁻²) + (-e) * (-2e⁻³) + e⁻² * 0 + (-e⁻¹) * (-en) + 2e⁻¹ * 0 = 1.15

Therefore, the cross-correlation sequence is: ry[n] = {1.15, -6.54, -3.85, 34.62, 12.77}

(b) The given qₙ is as follows:q[n] = x[n] + jy[n]

To determine the conjugate symmetric part of qₙ, let's first find the conjugate of qₙ and subtract it from qₙ.q*(n) = x*(n) + jy*(n)q[n] - q*(n) = x[n] - x*(n) + j(y[n] - y*(n))

However, the sequences xₙ and yₙ are all real. Therefore, q*(n) = x(n) - jy(n).So, q[n] - q*(n) = 2jy[n].

The conjugate symmetric part of q[n] is the real part of (q[n] - q*(n))/2j = y[n].Hence, the conjugate symmetric part of q[n] is y[n].

Now, let's calculate the Lp-norm of q[n] when p = 2.Lp-norm of q[n] when p = 2 is defined as follows: ||q[n]||₂ = (Σ |q[n]|²)¹/²= (Σ q[n]q*(n))¹/²= (Σ |x[n] + jy[n]|²)¹/²Here, q[n] = x[n] + jy[n].||q[n]||₂ = (Σ (x[n] + jy[n])(x[n] - jy[n]))¹/²= (Σ (x[n]² + y[n]²))¹/²= (25 + 1 + e² + e⁻² + 4e⁻²)¹/²= 2.03 (approx)

Therefore, the Lp-norm of q[n] when p = 2 is 2.03 (approx).

(c) The input to the system is x[n].

Therefore, let's write the input-output equation for an IIR LTI system:y[n] = 1.57y[n-1] - 0.81y[n-2] + x[n] - 1.18x[n-1] + 0.68x[n-2]Now, let's find the transfer function, H(z) of the system using the Z-transform.

The Z-transform of the input-output equation of the system is:Y(z) = H(z) X(z) ...(1)where X(z) and Y(z) are the Z-transforms of x[n] and y[n], respectively.

Substituting the given input-output equation, we get:Y(z) = (1 - 1.18z⁻¹ + 0.68z⁻²) H(z) X(z)Y(z) - (1.57z⁻¹ - 0.81z⁻²) H(z) Y(z) = X(z)H(z) = X(z) / (Y(z) - (1.57z⁻¹ - 0.81z⁻²) Y(z)) / (1 - 1.18z⁻¹ + 0.68z⁻²)H(z) = X(z) / (1 - 1.57z⁻¹ + 0.81z⁻²) / (1 - 1.18z⁻¹ + 0.68z⁻²)

Now, let's factorize the denominators of the transfer function H(z).H(z) = X(z) / (1 - 0.57z⁻¹) / (1 - 0.9z⁻¹) / (1 - 0.625z⁻¹)

Therefore, the poles of H(z) are located at z = 0.57, 0.9, and 0.625.

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Answer:

1 1/8 cups of vanilla for a cup of milk.

Step-by-step explanation:

v-3/8  m-1/3

v-6/8  m-2/3

v-1 1/8 m-1

By SAS similarity, ΔKML and ΔRTL are similar triangles. Therefore, option A is the correct answer.

From the given figure, KR=9 units, RL=15 units, MT=7.5 units and TL=12.5 units.

Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.

Consider ΔKML and ΔRTL, we get

RL/KL =15/(15+9)

= 15/24

= 5/8

TL/ML =12.5/(12.5+7.5)

= 12.5/20

= 5/8

Here, RL/KL=TL/ML

Here, ∠KLM≅∠RLT

By SAS similarity, ΔKML and ΔRTL are similar triangles

So, ∠KMT≅∠RTL

By SAS similarity, ΔKML and ΔRTL are similar triangles. Therefore, option A is the correct answer.

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Answer:

a

Step-by-step explanation:

got it right in edmentum

Its speed of Rachel would be 30 meters per second.

Given that,

Stunt driver Rachel is trying to get out of a building that is going to blow up.

Here, the equation is,

\(d = - 38t + 220\)

Where, variable d models Rachel's distance from her exit (in meters) t seconds after the cameras began recording the stunt.

Now, Velocity is the rate at which a distance changes over time.

\(d = - 38t + 220\)

\(\dfrac{d(d)}{dt} = - 38\)

Hence, Speed is the magnitude of velocity.

\(|- 38| = 38\)

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Answer:

The answer is

→ Radius ≈ 4.24ft

Step-by-step explanation:

Given: 320ft³

Were going to use this formula:

\(V = \frac{4}{3} \pi r^3\)

Step 1: Solve for r.

Step 2: Round up 4.24314

4.24314 → 4.24

Hence, 4.24ft is your answer.

Therefore, the standard deviation for the number of people with the genetic mutation in groups of 500 is approximately 6.726.

To find the standard deviation for the number of people with the genetic mutation in groups of 500, we can use the binomial distribution formula.

Given:

Probability of having the genetic mutation (p) = 0.09

Sample size (n) = 500

The standard deviation (σ) of a binomial distribution is calculated using the formula:

σ = √(n * p * (1 - p))

Substituting the given values:

σ = √(500 * 0.09 * (1 - 0.09))

Calculating the standard deviation:

σ ≈ 6.726 (rounded to three decimal places)

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Considering the Empirical Rule, it is found that the distribution of the average July 1st temperature in Pittsburgh, PA, is approximately normal.

The Empirical Rule states that, for a normally distributed random variable, the symmetric distribution of scores is given as follows:

In this problem, the mean and the standard deviation are given as follows:

Within one standard deviation of the mean, the bounds are given as follows:

The percentage of temperatures in this range is:

(4 + 12 + 5)/(1 + 2 + 2 + 4 + 12 + 5 + 2 + 2 + 1) x 100% = 68% (approximately).

Within two standard deviation of the mean, the bounds are given as follows:

Hence the percentage is:

(2 + 2 + 4 + 12 + 5 + 2 + 2)/(1 + 2 + 2 + 4 + 12 + 5 + 2 + 2 + 1) x 100% =94% (approximately)

100% of the measures will be within three standard deviations of the mean. All of the percentages are close to the percentages established by the Empirical Rule, hence it can be said the distribution is normal.

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The equation which most accurately represents the word problem,  is (b) 68 = 2L + 2(9).

The word problem states that the perimeter of a rectangle is 68 inches, and the perimeter equals twice the length (L) plus twice the width (9). We can represent this relationship by using the equation as :

We know that, the perimeter of rectangle is : 2(length + width),

Substituting the value,

We get,

⇒ 68 = 2(L + 9);

⇒ 68 = 2L + 2(9); and this statement is represented by Option(b).

Therefore, the correct equation is (b) 68 = 2L + 2(9).

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The given question is incomplete, the complete question is

Select the equation that most accurately depicts the word problem.

"The perimeter of a rectangle is 68 inches. The perimeter equals twice the length of L inches, plus twice the width of 9 inches".

(a) 68 = 9(L + 2)

(b) 68 = 2L + 2(9)

(c) 68 = 2(L - 9)

(d) 68 = 9L + 2

(e) 68 = 2/L + 2/9

(f) 68 = L/2 + 2(9)

Answer:

2.125 is your answer!! pls give brainlist (:

Step-by-step explanation:

we know that 76% of the specialty soaps are made with fresh herbs, and we also know that there are a total of 350 specialty soap bars, so how many are made with fresh herbs?  well, just 76% of those 350

\(\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{76\% of 350}}{\left( \cfrac{76}{100} \right)350}\implies 266\)

Answer:

\(\frac{3}{2}\)

Step-by-step explanation:

The slope formula is:

\(m=\frac{\text{rise}}{\text{run}} =\frac{y_2-y_1}{x_2-x_1}\)

We are given the points (-14,-18) and (-10,-12) .

\((x_1,y_1)\rightarrow(-14,-18)\\(x_2,y_2)\rightarrow(-10,-12)\)

\(m=\frac{-12-(-18)}{-10-(-14)}=\frac{-12+18}{-10+14}=\frac{6}{4} =\frac{6/2}{4/2}=\boxed{\frac{3}{2}}\)

The slope of the function should be \(\frac{3}{2}\).

Answer:

The answer is 3/2 plz mark me as brainlist I could rlly use it plz ! ;)

Step-by-step explanation:

I hope you all get A’s !!! Love y’all!!

Answer:

question 1: advertising showing the "Hot buys", ie. the sale prices listed for purchasing on the weekend.

2. 1 price is shown for each product, quantities range between single items, prepacked quantity and by the pounds

3. questions that can be asked using this data could be related to sum of money- how many lettuces would I get for 5$ ,

what is total price ?

what item is cheapest ?

how much is 2 pound of grapes $

4. 2 pounds of grapes will be 5$

Answer:

Not True

Step-by-step explanation:

>_<

\(\text{To find your answer, plug in the values to the equation and solve:}\\\\3(2)-2(-1)=13\\\\\text{Solve:}\\\\3(2)-2(-1)=13\\\\6+2=13\\\\8=13\\\\\text{8 does not equal 13, therefore making the equation FALSE}\\\\\boxed{\text{False}}\)

1. The expression √b means "the square root of b".

2. The radical symbol (√) stands for the exponent 1/2.

3. The number or expression under the radical symbol is called the radicand.

A radicand is the number or expression underneath a radical symbol (√). It is the number or expression that is being operated on by the root. The square root of the radicand is the result of the operation.

The expression √6 represents the square root of 6. This is the value of x that, when multiplied with itself, results in 6.

The square root of 6 is equal to 2.44948974, which is the positive solution to the equation x² = 6.

The radical symbol (√) indicates that the expression is a root and the number or expression under the radical symbol is called the radicand, which is 6 in this case.

The exponent of the radical symbol is 1/2, which implies that the expression is a square root.

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Answer:

6 Apples

Step-by-step explanation:

There would be six apples and 2 oranges left over.

Hope this Helps!

:D

Answer:

I was kind of confused on this one but is it 15 apples?

Step-by-step explanation:

3, 6, 9, 12, 15

4, 8, 12, 16, 20

I think the answer is 15 apples.

Answer:

11:7 or 11/7

Step-by-step explanation:

Since your asking for the ratio 11 goes first as the problom states red apples to green apples and there are 7 green apples so the corect answer is 11:7

The equation of the hyperbola for the cross section of the cooling tower is x²/8100 - y²/9506.25 = 1.

We must take into account its characteristics in order to formulate the hyperbola's equation for the cooling tower's cross section.

Since the origin serves as the hyperbola's centre, its coordinates are (0, 0).

The left/right opening of the hyperbola indicates that the primary axis is horizontal.

The cooling tower's smallest diameter is 180 metres, which is the same length as the minor axis.

The primary axis' 195 m length and the diameter at its highest point are matched.

The hyperbola's highest point is 80 metres above the centre.

These characteristics allow us to write the hyperbola's equation in standard form:

(x - h)²/a² - (y - k)²/b² = 1

Where (h, k) represents the center of the hyperbola.

Substituting the given values:

Center: (h, k) = (0, 0)

Minor axis: 2a = 180 m, so a = 90 m

Major axis: 2b = 195 m, so b = 97.5 m

Vertical shift: c = 80 m

Now we can write the equation of the hyperbola:

x²/90² - y²/97.5² = 1

Simplifying, we have:

x²/8100 - y²/9506.25 = 1

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x-8+11=2x-8​

Combine like terms

-8+11+8 =2x-x

11 =x

To determine whether the assumption of constant error variance is satisfied for a model with tut, independent variables x, and x₂, you would examine the residual plot where the residuals are plotted against predicted values y.

This plot is also known as the plot of residuals versus fitted values. In this plot, if the residuals are randomly scattered around the horizontal line of zero, then the assumption of constant error variance is satisfied. However, if there is a pattern in the residuals, such as a funnel shape or a curve, then the assumption of constant error variance may not be met. It is important to ensure that the assumption of constant error variance is met, as violation of this assumption can lead to biased and inefficient estimates of the model parameters. Additionally, it can affect the reliability of statistical inferences and lead to incorrect conclusions.
In summary, to determine whether the assumption of constant error variance is satisfied for a model with tut, independent variables x, and x₂, you would examine the residual plot where the residuals are plotted against predicted values y. It is important to check this assumption to ensure the validity of the model and the accuracy of the results.This plot allows you to assess the variance of the residuals and identify any patterns, which could indicate that the assumption of constant error variance may not be met. If the plot shows no discernible pattern and the spread of residuals appears to be uniform across the range of predicted values, the assumption of constant error variance is likely satisfied.

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Answer:

Step-by-step explanation:

4

Answer:

80%

Step-by-step explanation:

Answer:

20 degrees

Step-by-step explanation:

A triangle measure is always equal to 180 degrees. Subtract the given angle measure, 70, and the right angle, which is always 90 degrees, from the total degrees, 180. The result is 20.