Use the function to evaluate the indicated expressions and simplify. f(x) = 2x2 5 f(x 2) = f(x) f(2) =

The scale factor of the dilation is 1/3.

To find the scale factor of the dilation, we can compare the corresponding sides of the original triangle and the dilated triangle.

Original triangle: Side lengths of 24, 18, 30.

Dilated triangle: Side lengths of 8, 6, 10.

To find the scale factor, we can choose any corresponding pair of sides and divide the length of the corresponding side of the dilated triangle by the length of the corresponding side of the original triangle.

Let's choose the first pair of sides: 8 and 24.

Scale factor = Length of corresponding side in dilated triangle / Length of corresponding side in original triangle

= 8 / 24

= 1/3

Therefore, the scale factor of the dilation is 1/3.

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Answer:

Three ways I experience these benefits is 1, being able to vote in free elections, 2, being able to receive an education, and 3, being able to volunteer for things.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

the vertical line test is when you check to see if a point of the graph is passed twice. in this case it does pass the vertical line test. therefore, it is a function.

The expected value in the game of mentioned probability is $-5.26.

Expected value can be calculated by the formula -

Expected value = (probability × winning amount) + (probability × (- losing amount))

Keep the values in formula to find the expected value -

Expected value = (1/42 × 67) + (41/42 × -7)

Performing multiplication in the brackets on Right Hand Side of the equation

Expected value = 1.57 - 6.83

Performing subtraction on Right Hand Side

Expected value = $-5.26

Hence, the expected value is $-5.26.

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The value of x in the expression given is -94/7

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between

Given is an expression 3/4(x+2) = 6(x+12), we need to find the value of x,

3/4(x+2) = 6(x+12)

Multiply by 4 in the expression [multiplication property of equality]

3(x+2) = 24(x+12)

Divide by 3 in the expression [Division property of equality]

x+2 = 8(x+12)

Open brackets and multiply by 8 in the RHS  of the expression [distributive property]

x+2 = 8x+96

Subtract x from both sides [subtraction property of equality]

x-x+2 = 8x-x+96

2 = 7x+96

Subtract 96 from both sides [subtraction property of equality]

2-96 = 7x+96-96

-94 = 7x

Divide by 7 in the expression [Division property of equality]

-94/7 = x

x = -94/7

Hence, the value of x in the expression given is -94/7

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A triangle AAA does not satisfy congruence theorem. Triangle denoted by AAA refers a triangle having three equal side lengths and three equal angles.

Congruence theorem is developed based on two triangles which have equal corresponding side lengths and equal corresponding angles.

there are four criteria in where one or more criteria needed to satisfy. if two triangles have all three equal side lengths and equal corresponding angles then they satisfy congruence theorem. if two triangles have 2 equal side lengths and angle between sides are equal, they satisfy congruence theorem. If two triangles have equal two angles along

with equal similar side length, they satisfy congruence theorem.

hence, the triangle mentioned in the question is not congruent.

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Answer:

FALSE

Step-by-step explanation:

The angles can be the same, but the lengths of the sides can differ.

Answer:

hii

Step-by-step explanation:

10,000

Answer:

the anwser would be 10000

Step-by-step explanation:

lol

Step-by-step explanation:

lateral surface area here = πrl

r = 10

l = √h²+r²= √ 24²+ 10² = 26

lateral surface area = 10 × 26 × π

= 260π in²

hope this will be helpful to you .

plz mark my answer as brainlist if you find it useful.

Answer:

The lateral area of cone is 260π in².

Step-by-step explanation:

\(\begin{gathered}\end{gathered}\)

\(\begin{gathered}\end{gathered}\)

\(\star{\underline{\boxed{\sf{\purple{\ell = \sqrt{{(r)}^{2} + {(h)}^{2}}}}}}}\)

\(\star{\underline{\boxed{\sf{\purple{La_{(Cone)}= \pi r\ell}}}}}\)

\(\begin{gathered}\end{gathered}\)

Finding the slant height of cone by substituting the values in the formula :

\(\begin{gathered} \qquad{\longrightarrow{\sf{\ell = \sqrt{{(r)}^{2} + {(h)}^{2}}}}}\\\\\qquad{\longrightarrow{\sf{\ell = \sqrt{{(10)}^{2} + {(24)}^{2}}}}}\\\\\qquad{\longrightarrow{\sf{\ell = \sqrt{{(10 \times 10)} + {(24 \times 24)}}}}}\\\\\quad{\longrightarrow{\sf{\ell = \sqrt{(100)+(576)}}}}\\\\\qquad{\longrightarrow{\sf{\ell = \sqrt{100 + 576}}}}\\\\\quad{\longrightarrow{\sf{\ell = \sqrt{676}}}}\\\\\quad{\longrightarrow{\sf{\ell = 26 \: in}}}\\\\\quad\star\underline{\boxed{\sf{\pink{\ell = 26 \: in}}}} \end{gathered}\)

Hence, the slant height of cone is 26 in.

\(\begin{gathered}\end{gathered}\)

Now, finding the lateral area of cone by substituting the values in the formula :

\(\begin{gathered} \qquad{\longrightarrow{\sf{La_{(Cone)} = \pi r \ell}}}\\\\\qquad{\longrightarrow{\sf{La_{(Cone)} = \pi \times 10 \times 26}}}\\\\\qquad{\longrightarrow{\sf{La_{(Cone)} = \pi \times 260}}}\\\\\qquad{\longrightarrow{\sf{La_{(Cone)} = 260\pi\: {in}^{2}}}}\\\\ \qquad{\star{\underline{\boxed{\sf{\pink{La_{(Cone)} = 260\pi \: {in}^{2}}}}}}}\end{gathered}\)

Therefore, the lateral area of cone is 260π in².

\(\rule{300}{2.5}\)

Answer:

The y-intercept is 3

Gradient: 4

11-3= 8

2-0= 2

8/2= 4

Hope this helped!

9514 1404 393

Answer:

  300

Step-by-step explanation:

The annual interest is the product of the annual interest rate and the loan amount:

  I = Prt

  I = 5000·0.06·1 = 300

The annual interest on a 5,000 loan at 6% is 300.

Confidence interval refers to a statistical measure that helps quantify the amount of uncertainty present in a sample's estimate of a population parameter.

This measure expresses the degree of confidence in the estimated interval that can be calculated from a given set of data. In this scenario, the task is to build a 95% confidence interval for the regression line's slope. The regression analysis output has already been given. According to the output given, the estimated regression model is:y = 25,000 + 9,000 x, where x represents the number of miles the car has been driven and y represents the car's selling price.

The formula to calculate the 95% confidence interval for the slope is:Slope ± t · SE, where Slope is the point estimate for the slope, t represents the critical t-value for a given level of confidence and degrees of freedom, and SE represents the standard error of the estimate. The value of t can be calculated using the degrees of freedom and a t-table. Here, the number of pairs in the sample size is 20, and the model uses two parameters.

Therefore, the degrees of freedom would be 20 - 2 = 18.The critical t-value for a 95% confidence interval and 18 degrees of freedom is 2.101. Using the formula given above, we can calculate the 95% confidence interval for the slope as follows:Slope ± t · SE= 9000 ± (2.101)(700) ≈ 9000 ± 1,467.7 = [7,532.3, 10,467.7]Therefore, the 95% confidence interval for the slope is [7,532.3, 10,467.7]. This means that we are 95% confident that the true value of the slope for this model falls within the interval [7,532.3, 10,467.7].

It implies that the price of the car increases by $7,532.3 to $10,467.7 for each mile driven by the car. In conclusion, a 95% confidence interval has been calculated for the regression line's slope, which indicates that the actual slope of the model lies between the range [7,532.3, 10,467.7].

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Hence,

Hope it helps you. Please don't mind my rude handwriting. Just pretend it get bent due to a cyclone.

The mean of the puppy weights changes by 0.14 pounds.

To determine how the mean of the puppy weights changes with the removal of the outlier, follow these steps:

1. First, identify the outlier in the given data set: Puppy Weights: 2.9, 3.0, 3.1, 3.1, 3.2, 3.3, 3.3, 3.4, 4.4. The outlier is 4.4 as it is significantly higher than the rest of the values.

2. Calculate the mean with the outlier: Add all the weights and divide by the total number of puppies (9). (2.9+3.0+3.1+3.1+3.2+3.3+3.3+3.4+4.4)/9 = 29.7/9 = 3.3

3. Calculate the mean without the outlier: Remove the outlier (4.4) from the sum and divide by the new total number of puppies (8). (29.7 - 4.4)/8 = 25.3/8 = 3.1625

4. Calculate the change in mean by subtracting the mean without the outlier from the mean with the outlier, and round to the nearest hundredth of a pound: 3.3 - 3.1625 = 0.1375, which rounds to 0.14.

With the removal of the outlier, the mean of the puppy weights changes by 0.14 pounds.

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According to the Question

Two buses started 2400 miles apart

They pass each other and they must have together to cover = 2400 miles

Now

Using Formula :-

Distance = Speed × Time

First bus ⇒ 5 × b = 5b

Second bus ⇒ 5(b + 60)

Now put in a Equation we get :-

5b + 5(b + 60) = 2400

5b + 5b + 300 = 2400

10b + 300 = 2400

10b = 2400 - 300

10b = 2100

b = 2100 / 10

b = 210

Hence :-

One bus speed is 210 miles

Another bus speed ⇒ 210 + 60 = 270 miles

As a result, the right triangle's hypotenuse measures about 43.3 units in length.

The Pythagorean theorem, which asserts that the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides, can be used to determine the length of the hypotenuse of a right triangle.

In this instance, we are aware of the right triangle's one angle's value of 55 degrees and the base's length of 27 units. The sine function, which links the ratio of the height to the hypotenuse to the sine of the angle, can be used in trigonometry to get the length of the other side (the height):

height/hypotenuse equals sin(55)

We can find the hypotenuse by rearranging this equation:

Height / sin is the hypotenuse (55)

When we enter this height expression into the first equation, we obtain:

(Base) / cos = hypotenuse (55)

By entering the specified values, we obtain:

Hypotenuse = 27/Cos(55), which is 43.3

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We use the Chain Rule in differentiation , to find the derivative of composite functions .

The Chain Rule states that the derivative of a composite function is  calculated by taking the derivative of the outer function first and then multiplying it by the derivative of inner function.

The chain rule can be mathematically written as ;

⇒ d/dx (f(g(x))) = f'(g(x)) × g'(x)  ;

The chain rule is used when we have a function that is composed of two or more functions, and we want to find the derivative of the composite function.

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Answer:

i think it is....

1

0

-1

-2

-3

sorry if im wrong mark brainliest if righ

18 root

2

Step-by-step explanation:

In this question imagine there is no y

It will be 10 root2 +5 root2 +3 root 2 it will be 18 root 2

Answer:

-4

Step-by-step explanation:

y - 2x = -4   original

3x - 2x = -4  plug in the Y value

x = -4   subtract X values

Answer:

The surface area of the given cylinder is 803.8 in² to the nearest tenth.

Step-by-step explanation:

The formula for the surface area of a cylinder is:

\(\boxed{SA = 2\pi r^2 + 2\pi rh}\)

where r is the radius of the circular base, and h is the height of the cylinder.

From inspection of the given diagram:

Substitute these values into the formula and solve for SA:

\(\begin{aligned}\implies SA&=2\pi r^2 + 2\pi rh\\&=2 \cdot 3.14 \cdot 8^2+2 \cdot 3.14 \cdot 8 \cdot 8\\&=2 \cdot 3.14 \cdot 64+2 \cdot 3.14 \cdot 8 \cdot 8\\&=401.92+401.92\\&=803.84\\&=803.8\; \sf in^2\;\;(nearest \; tenth)\end{aligned}\)

Therefore, the surface area of the given cylinder is 803.8 in² to the nearest tenth.

Question :-

Answer :-

\( \rule{180pt}{3pt}\)

Diagram :-

\(\setlength{\unitlength}{1mm}\begin{picture}(5,5)\thicklines\multiput(-0.5,-1)(26,0){2}{\line(0,1){40}}\multiput(12.5,-1)(0,3.2){13}{\line(0,1){1.6}}\multiput(12.5,-1)(0,40){2}{\multiput(0,0)(2,0){7}{\line(1,0){1}}}\multiput(0,0)(0,40){2}{\qbezier(1,0)(12,3)(24,0)\qbezier(1,0)(-2,-1)(1,-2)\qbezier(24,0)(27,-1)(24,-2)\qbezier(1,-2)(12,-5)(24,-2)}\multiput(18,2)(0,32){2}{\sf{8 \: in}}\put(9,17.5){\sf{8 \: in}}\end{picture}\)

Solution :-

As per the provided information in the given question, we have been given that the radius of the cylinder is 8 in. The height of the cylinder is 8 in. We have been asked to find or calculate the surface area of the cylinder.

To calculate the surface area of the cylinder, we will use the formula below :-

\(\bigstar \:\:\:\boxed{\sf{\:\:Surface \: Area_{(Cylinder)} = 2\pi r^2 + 2\pi rh \:\:}}\)

Substitute the given values into the above formula and solve for surface area:

\(\sf:\implies Surface \: Area_{(Cylinder)} = 2\pi r^2 + 2\pi rh\)

\(\sf:\implies Surface \: Area_{(Cylinder)} = (2)(3.14)(8 \: in)^2 + (2)(3.14)(8\:in)(8\:in) \)

\(\sf:\implies Surface \: Area_{(Cylinder)} = (2)(3.14)(64 \: in^2) + (2)(3.14)(64\:in^2) \)

\(\sf:\implies Surface \: Area_{(Cylinder)} = (2)(200.96 \: in^2) + (2)(200.96 \: in^2) \)

\(\sf:\implies Surface \: Area_{(Cylinder)} = 401.92 \: in^2 + 401.92 \: in^2 \)

\(\sf:\implies \bold{Surface \: Area_{(Cylinder)} = 803.84 \: in^2}\)

Therefore :-

\(\\\)

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Have a great day! <33

Answer:

ok

Step-by-step explanation:

Answer:

Ok, tell your friend the answer is 8x

a) The set {1, 2, 3} does not represent vectors, but rather a collection of scalars. Therefore, there are no vectors in {1, 2, 3}.

b) The number of vectors in "col a" cannot be determined without additional context or information. "Col a" could refer to a column vector or a collection of vectors associated with a variable "a," but without further details, the exact number of vectors in "col a" cannot be determined.

c) Without knowing the specific context of "p" and "col a," it is impossible to determine if "p" is in "col a." The inclusion of "p" in "col a" would depend on the definition and properties of "col a" and the specific value of "p."

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Question 4: Laura applies for the position of ambulance medic. To give her a job simulation (behavioral interview) screening test, the interviewer...

This question involves providing a job simulation or behavioral interview, which allows the interviewer to observe how the candidate performs in a simulated work situation. This type of question assesses the candidate's skills, abilities, and behavior in a real or simulated work scenario, providing a more accurate evaluation of their capabilities for the job.

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The equation of the ellipse is equal to (x - 6)² / 49 + (y + 6)² / 36 = 1.

In this problem we must derive the equation of an ellipse based on information about the center, a vertex and a co-vertex thereof. The vertex represents the end of the major semiaxis that lies on the curve and co-vertex is the end of the minor semiaxis that lies on the curve. The major semiaxis is parallel with x-axis and the minor semiaxis is parallel with y-axis.

The standard form of the ellipse is shown below:

(x - h)² / a² + (y - k)² / b² = 1

Where:

Now we proceed to derive the equation of the ellipse:

Major semiaxis:

A = (13, - 6) - (6, - 6)

A = (7, 0)

a = 7

Minor semiaxis:

B = (6, 0) - (6, - 6)

B = (0, 6)

b = 6

Equation of the elipse:

(x - 6)² / 49 + (y + 6)² / 36 = 1

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The discontinuity as x is  -3 is removable by defining f(-3) is -1/8.

Factoring the function's denominator and numerator first is the recommended approach.When a number has zeros in both the numerator and denominator, a point of discontinuity is reached.

There is a point of discontinuity there since the denominator and numerator are both zeros.If x is between 0 and 1, we say that the function is discontinuous.

This function has 3 asymptotes, which are lines that the curve approaches but doesn't cross.The vertical line x=1 is one of them, along with the x-axis, y-axis, and (denoted by a dashed line in the graph above).

Maybe you have

f ( x) = x+ 3/x²- 2x -15

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

= 1/x- 5

x infinite  -3

This will have discontinuities (points where the function is undefined) at .

   x = -3

   x = 5

The discontinuity as x = -3 is removable by defining f(-3) = -1/8.

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The correct answer is: O Neither; because the equation is not an exponential function.

The equation y = 900(1 - 0)5 can be simplified to y = 900(1)5 = 900.

In this case, the equation represents neither exponential growth nor exponential decay. It simply states that the value of y is constant and equal to 900. There is no change or growth/decay occurring over time or any other independent variable.

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12/35 fraction of the total number is unused from two different cards.

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

Assuming the total first kind of card form is 1 and the total second kind of card form is also one.

Given, a company buys equal numbers of two different card forms. it utilizes 4/5 of one kind and 6/7 of the other.

∴ The total unused card form is,

= (1 + 1) - (4/5 + 6/7).

= 2 - (28 + 30)/35.

= 2 - 58/35.

= (70 - 58)/35.

= 12/35.

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Answer:

y=16, x=24

Step-by-step explanation:

First simplify: x-(1/2x+4)=8

Isolate x for 1/2x-4=8

Add 4 to both sides:

1/2-4+4=8+4

Simplify :1/2=12

Multiply both sides by 2:

2*1/2x=12*2

Simplify:

x=24

Substitute x=24:

y=1/2*24+4

1/2*24+4=16

1/2*24=12

12+4

Add the numbers: 12+4=16

y=16

The solutions to the systems of equations are:

y=16,x=24