Whats the surface area of a square pyramid with a side length of 5 yd and slant height of 4 yd.

Answer:

110 is a composite number

Step-by-step explanation:

prime numbers are numbers that have only one and themselves as a factor example

2,3,5,7,13,17, etc

while

composite Numbers are numbers that have more than two factors that are other than one and themselves example

24,42,35,56,8,4 etc

For the definition of horizontal compression, the function f(x) = x² is horizontally compressed to the function g(x) = (k · x)², for 0 < k < 1.  

Here we must narrow a given function by a rigid operation known as compression. Rigid transformations are transformations in which Euclidean distances are conserved. In the case of functions, we define the horizontal compression in the following manner:

g(x) = f(k · x), for 0 < k < 1     (1)

If we know that f(x) = x², then the equation of g(x) is:

g(x) = (k · x)², 0 < k < 1

For the definition of horizontal compression, the function f(x) = x² is horizontally compressed to the function g(x) = (k · x)², for 0 < k < 1.      

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let's convert the mixed fraction to improper fraction and we'll see.

[tex]\stackrel{mixed}{9\frac{2}{3}}\implies \cfrac{9\cdot 3+2}{3}\implies \stackrel{improper}{\cfrac{29}{\underset{this~one}{3}}}[/tex]

Answer:

Step-by-step explanation:

For 7 pounds of walnuts and 9 pounds of chocolate chips, the total cost is $37:

For 5 pounds of walnuts and 3 pounds of chocolate chips, the total cost is $17:

Multiply the second equation by 3 and subtract the first equation, solve for x:

Find the value of y:

This shows that the measure of <SRT is 90degrees

Lines is defined as the distance between two points

From the given diagram, two lines intersects each other and are also perpendicular to each other.

Since the lines are perpendicular to each other, the measure of their angles is 90 degrees.

This shows that the measure of <SRT is 90degrees

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Answer:

90

Step-by-step explanation:

edge 2022

Using the cosine ratio, the length of line segment AB is: B. √3 inches.

The cosine ratio is one of the Trigonometric ratios that is used to solve a right triangle and it is expressed as: cos ∅ = adjacent side / hypotenuse.

m∠B (∅) = 90 - 60 = 30°

BD = 2 (hyp)

AB = ? (adj)

Applying the cosine ratio, we have:

cos 30 = AB/2

AB = (cos 30)(2)

AB = (√3/2)(2)

AB = √3

Length of line segment AB is: B. √3 inches.

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Answer:

Its B

Step-by-step explanation:

The system has a unique solution. Because the augmented matrix can be reduced to the form of the identity matrix.

It is an equation system in which the maximum power of the variable is always 1. A figure with only one dimension and no breadth. It is made up of infinite dots placed side by side.

The augmented matrix must be reduced to the form of the identity matrix since there are three pivots one in each row.

Whatever is on the opposite side of the equal sign, there is a solution that is specific and exists.

Hence, the system has a unique solution.

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Answer:

It is so multiple 2y-4y and u will get ur answer

The amount of time it takes to finish a race might be a function of: A. the length of the race.

We know that formula for distance is;

Distance = Speed * time

Now, we can see clearly that distance covered is directly proportional to the time taken. Thus, the longer the distance, the more the time taken to finish the race.

Thus, we can conclude that the amount of time it takes to finish a race might be a function of:

A. the length of the race.

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a) Ely made 16 ounces more tea than punch.

b) Ely will need a total of 120 ounces of punch and tea combined for the party

Given data ,

a)

To find out how much more tea Ely made than punch, we subtract the amount of punch from the amount of tea.

4 3/4 cups of tea - 2 3/4 cups of punch = 2 cups of tea

On simplifying the equation , we get

Since 1 cup is equivalent to 8 fluid ounces, we multiply the result by 8:

2 cups of tea x 8 ounces/cup = 16 ounces

Therefore, Ely made 16 ounces more tea than punch.

b)

To double the amount of punch and tea, we multiply each by 2.

Double the amount of punch: 2 x 2 3/4 cups = 5 1/2 cups

Double the amount of tea: 2 x 4 3/4 cups = 9 1/2 cups

Converting the amounts to ounces:

On simplifying the equation , we get

The amount of punch: 5 1/2 cups x 8 ounces/cup = 44 ounces

The amount of tea: 9 1/2 cups x 8 ounces/cup = 76 ounces

To find the total amount of punch and tea needed, we add the amounts together:

44 ounces (punch) + 76 ounces (tea) = 120 ounces

Hence , Ely will need a total of 120 ounces of punch and tea combined for the party

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The area of a 2D form is the amount of space within its perimeter. The area of the composite figure is 198.5714 cm².

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm2, m2, and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.

The area of the composite figure is the sum of the area of the circle and the area of the rectangle.

Area = Area of circle + Area of rectangle

        = (π×5²) + (10×12)

        = 78.5714 cm² + 120 cm²

         = 198.5714 cm²

Hence, the area of the composite figure is 198.5714 cm².

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The distance the spring will be stretched with an object weighing 29 kilograms is 47 centimeters

From the question, we are to determine the distance the spring will be stretched with an object weighing 29 kg

From the given information,

The distance, D, that a spring is stretched by a hanging object varies directly as the weight, W, if the object

That is,

D ∝ W

Then, we can write that

D = kW

NOTE: k is the constant of proportionality

Also, from the given information,

An object weighing 30 kilograms stretched the spring 49 centimeters

That is,

D = 49 cm

W = 30 kg

Putting the parameters into the equation to solve for k, we get

49 = k × 30

∴ k = 49/30

Now, for the distance stretched when weight is 29 kg

Using D = kW, we get

D = (49/30) × 29

D = 1421/30

D = 47.367

D ≅ 47 cm

Hence, the distance the spring will be stretched with an object weighing 29 kilograms is 47 centimeters

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Answer: 40

Step-by-step explanation:

Opposite sides of a rhombus are parallel, so by the alternate interior angles theorem, angle ABE measures 50 degrees.

Also, the diagonals of a rhombus are perpendicular, so angle AEB is 90 degrees.

Thus, as angles in a triangle (in this case AEB) add to 180 degrees, x=40.

The division is one of the four fundamental arithmetic operations. The correct option is B.

The division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.

The pipe can be divided into pieces as shown below.

The largest portion that can be made by Joining two pipe pieces are

Longest = 4 yards + 2 yards = 6 yards = (6×3) feet = 18 feets

The smallest portion that can be made by Joining two pipe pieces are

Smallest = 2/3 yards + 2/3 yards = 4/3 yards = (4/3 ×3) feet = 4 feets

The difference between the two pipes will be = Longest - Smallest

                                                                             = 18 feets - 4 feets

                                                                             = 14 feets

Hence, the correct option is B.

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Answer:

c

Step-by-step explanation:

using the continously compounded formula, let a be unknown, p= 530, r be 0.05 and t be 12.

the equation would then be a=530e to the (0.05*12)th power, so that's why it's c

The amount of money after 12 years is $965.66. Therefore, option C is the correct answer.

Continuously compounded interest means that an account balance is constantly earning interest, as well as refeeding that interest back into the balance so that it, too, earns interest.

The continuous compound interest formula is [tex]P(t)=P_0e^{rt}[/tex].

Where, P(t)=value at time t, [tex]P_0[/tex] =original principal sum, r=nominal annual interest rate and t= length of time the interest is applied

Now, [tex]P(12)=530\times e^{0.05\times12}[/tex]

⇒ [tex]P(12)=530\times e^{0.6}[/tex]

⇒ P(12)= 530×1.822

⇒ P(12)= $965.66

The amount of money after 12 years is $965.66. Therefore, option C is the correct answer.

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The average time in hours that a customer spends in the store is given as: 1.167 hours

From available data,  the number of people that visited the store = 4200

Number of customer that is in the store = 350

The number of hours that the store is open = 14 hours

The hour rate = 4200/14

= 300 customers per hour

The average time that the customer spends = customer in store / rate

= 350/300

= 1.167 hours This is approximately 70 minutes

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The amount of energy it takes to run a race is most likely to be a function of the; D: Length of the Race

We want to basically find the factor that influences the amount of energy expended by a sprinter.

Now, formula for potential energy is;

P = mgd

where;

m is mass

g is acceleration due to gravity

d is distance covered

Now, the only option that falls into the input that affects energy expended is the distance covered. This is true because the more the distance covered, the higher the energy expended.

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The attached graph represents the graph of 2x - 3y = 6

The equation is given as:

2x - 3y = 6

Set x to 0, to determine the y-intercept

2(0) - 3y = 6

This gives

-3y = 6

Divide by -3

y = -2

Set y to 0, to determine the x-intercept

2x - 3(0) = 6

This gives

2x = 6

Divide by 2

x = 3

So, we have:

(0,-2) and (3,0)

Next, we plot the points (0,-2) and (3,0) on the graph and connect both points

See attachment for the graph of 2x - 3y = 6

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Angles ∠ACD and ∠CAB are congruent because they are alternate angles. Then the area of the triangle AOB will be 22.53 square cm.

The area of the right-angle triangle is given as

A = 1/2 x B x H

Where B is the base and H is the height of the right triangle.

We know that angles ∠ACD and ∠CAB are congruent because they are alternate angles.

α₁ = 40°

AO = OC = 7.8 cm

Then the area of the triangle will be

Area = 1/2 x 7.8 x 7.8 x tan40°

Area = 22.53 square cm

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Answer:

  0

Step-by-step explanation:

To find the slope between the two given points, you can use the given formula for the slope between two points.

__

The points are (x1, y1) = (-3, 2) and (x2, y2) = (4, 2).

The formula is ...

  slope = (y2 -y1)/(x2 -x1)

__

Substituting the given values into the formula gives ...

  slope = (2 -2)/(4 -(-3)) = 0/7 = 0

The slope of the line is zero.

Answer:

C

Step-by-step explanation:

5×4=20

4×5=20

.......

Answer:

[tex]2x^3-x^2-x+4[/tex]

Step-by-step explanation:

The root of a polynomial: the value of which x makes f(x) = a,x^n+a₂x^n-1+...+aₙx+aₙ⁺₁=0

Because the polynomial has exactly 3 roots, we know that f(x) = (x+a) (x+b) (x+c)

(-a,-b and -c are the 3 roots)

So its highest digit is 3.

Only 2x³ - x² - x + 4 corresponds to it.

Answer:B

Step-by-step explanation:plug 8 into into g(x) to get 3. Plug 3 into f(x) to get 7

Answer:

B

Step-by-step explanation:

trust me brooooooooooo

Answer: Reflexive property of equality

Step-by-step explanation:

If we evaluate the function at infinity, we get:

             [tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{\displaystyle L = \lim_{x \to \infty}{ \frac{\sqrt{4x^4 + x^2 + 1}}{x^2 + 1} } = \frac{\infty}{\infty} } \end{gathered}$}[/tex]

Therefore, being an indeterminate form, we must multiply and divide by the highest degree monomial (x²; remember that we divide the powers of the numerator by 2 since they are inside a square root):

                              [tex]\begin{align*}L &= \lim_{x \to \infty}{ \frac{\sqrt{4x^4 + x^2 + 1}}{x^2 + 1} \cdot \frac{\frac{1}{x^2}}{\frac{1}{x^2}}}\\ & = \lim_{x \to \infty}{\frac{ \sqrt{4 + \frac{1}{x^2} + \frac{1}{x^4}} }{1 + \frac{1}{x^2}}} \end{align*}[/tex][tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{L= \lim_{x \to \infty}\frac{\sqrt{4x^2+x^{2} +1 } }{x^2+1}\cdot\frac{\frac{1}{x^{2} } }{\frac{1}{x^{2} } } } \end{gathered}$}\\\large\displaystyle\text{$\begin{gathered}\sf \bf{ \ \ \ = \lim_{x \to \infty} \frac{\sqrt{4+\frac{1}{x^{2} }+\frac{1}{x^{4} } } }{1+\frac{1}{x^{2} } } } \end{gathered}$}[/tex]

Then, evaluated at infinity, we have:

[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{\displaystyle L = \frac{\sqrt{4 + 0 + 0}}{1 + 0} = \frac{\sqrt{4}}{1} = 2} \end{gathered}$}[/tex]

So the limit is 2.

Answer:

[tex]\large \boxed{\sf 2x^2 + 3}[/tex]

Explanation:

[tex]\sf \Rightarrow (3x^2 + 2x + 4) -(x^2 + 2x + 1)[/tex]

open the parenthesis

[tex]\sf \Rightarrow 3x^2 + 2x + 4 -x^2 - 2x -1[/tex]

regroup variables

[tex]\sf \Rightarrow 3x^2 -x^2 + 2x - 2x+ 4 -1[/tex]

add/subtract variables

[tex]\sf \Rightarrow 2x^2 +3[/tex]

Answer:

answer is 2x^2 + 3

Step-by-step explanation:

3x^2 - x^2 is 2x^2

2x-2x is 0

4-1 is 3

Answer:

log4(1/4x^2) so its A

Step-by-step explanation:

I found it o. edge 2022

Answer:

[tex]\frac{131}{99}[/tex]

Step-by-step explanation:

we require 2 equations with the repeating digits placed after the decimal point.

let x = 1.3232... (1) ← multiply both sides by 100

100x = 132.3232... (2)

subtract (1) from (2) thus eliminating the repeating digits

99x = 131 ( divide both sides by 99 )

x = [tex]\frac{131}{99}[/tex]

The total number of adult tickets sold is 250.

x / y  = 2/5

Cross multiply :5x = 2y

y = 5/2

y = 2.5x

(x + 70) / (y + 300) = 1/3

Cross multiply :210 + 3x = 300 + y

Substitute for y

210 + 3x = 300 + 2.5x

300 - 210 = 3x - 2.5x

90 = 0.5x

x = 90 / 0.5

x = 180

Total tickets sold = 180 + 70 = 250

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