4. Describe how k affects the graph of the function f(x) = 4*.Part A: k ·f(x)Part B: f(x + k)Part C: f(x) + k

Answer:

\(\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}\)

This can be easily calculated by substituting the value of radius in the formula of area ~

\(Area \: = \pi \: r {}^{2} \\ \\ \implies \: \frac{22}{7} \times 8 \times 8 \\ \\ \implies \: \frac{1408}{7} \\ \\ \implies \: 201.14 \: miles {}^{2} \)

hope helpful ~

\(\huge\color{pink}\boxed{\colorbox{Black}{♔︎Answer♔︎}}\)

200.96 miles²

Step-by-step explanation:

\( \textsf{\underline{\large{To find :-}}}\)

The area of circle

\( \textsf{\underline{\large{Given :-}}}\)

radius of circle (r) = 8 miles

\( \textsf{\underline{\underline{\huge{Solution :-}}}}\)

\( \sf \blue {Area \: of \: circle = \pi {r}^{2} }\)

now we will substitute the value of r

\( \sf \implies Area = \pi {8}^{2} \\ \\ \sf \implies Area = \pi \times 8 \times 8\)

\( \sf \pi = \frac{22}{7} \: or \: 3.14 \\ \sf here \: we \: will \: use \: \pi = 3.14\)

\( \sf \implies Area = 3.14 \times 8 \times 8 \\ \\ \sf \implies { \green{ Area = 200.96 \: {miles}^{2} }}\)

Answer:

y=24x-53.

Step-by-step explanation:

1) the slope-interception view of the required tangent line is

y=slope*x+interception;

2) y'=3x²-3;

3) slope=y'(3), then slope=3*3²-3=24;

4) the required equation of tangent line has the form

y=24x+interception;

5) to calculate the interception it is needed to substitute the given coordinates (3;19) into this equation:

19=24*3+interception; ⇒ interception=-53;

6) finally, the required equation is y=24x-53.

Answer:

6 Cranes

Step-by-step explanation:

Given

Animals: Zebra & Cranes

\(Heads = 18\)

\(Legs = 60\)

Required

Determine the number of Cranes

Represent Zebra with Z and Cranes with C

A Zebra has 1 head and 4 legs

A Crane has 1 head and 2 legs

So:

\(Z + C = 18\)

\(4Z + 2C = 60\)

Make Z the subject in the first equation

\(Z = 18 - C\)

Substitute 18 - C for Z in the second

\(4(18 - C) + 2C = 60\)

\(72 - 4C + 2C = 60\)

Collect Like Terms

\(- 4C + 2C = 60 - 72\)

\(- 2C = -12\)

\(2C = 12\)

Solve for C

\(C= 12/2\)

\(C = 6\)

Answer:

The equation for nth term is 3n + 5.

Step-by-step explanation:

Let a1 be a,

a3 = a + (n - 1)d

or, 14 = a + (3 - 1)d

so, 14 = a + 2d

Now,

a5 = a + (n - 1)d

or, 20 = a + (5 - 1)d

or, 20 = a + 4d

now,

a + 4d = 20

a + 2d = 14

now,

a + 4d - ( a + 2d) = 20 - 14

or, a + 4d - a - 2d = 6

or, 2d = 6

so, d = 3

Now,

a + 2d = 14

or, a + 2(3) = 14

or, a = 14 - 6

so, a = 8

Now,

an = a + (n - 1)d

or, an = 8 + (n - 1)3

or, an = 8 + 3n - 3

so, an = 3n + 5

Answer:

k = m(x) - f(x)

Step-by-step explanation:

m(x) = f(x) +k

m(x) - f(x) = k

Answer:

$839.20

Step-by-step explanation:

To find the finance charge, we need to first calculate the total amount financed, which is the price of the snow thrower minus the down payment.

The down payment is 20% of $1,501, which is:

0.20 x $1,501 = $300.20

So the total amount financed is:

$1,501 - $300.20 = $1,200.80

The total amount of the 12 monthly payments is:

12 x $170 = $2,040

The finance charge is the difference between the total amount of the payments and the amount financed:

$2,040 - $1,200.80 = $839.20

Therefore, the finance charge is $839.20.

Answer:

C and D

Step-by-step explanation:

\(\cos(2x)\\=\cos(x+x)\\=\cos(x)\cos(x)-\sin(x)\sin(x)\\=\cos^2(x)-\sin^2(x)\\=\cos^2(x)-(1-\cos^2(x))\\=2\cos^2(x)-1 \,\,\,\,\,\,\,\,\,\,\leftarrow \text{Option D}\\=2(1-\sin^2(x))-1\\=2-2\sin^2(x)-1\\=1-2\sin^2(x)\,\,\,\,\,\,\,\,\,\,\,\leftarrow \text{Option C}\)

Answer:

The main flaw of this  proof is that it did not take into consideration the fact a 4 cent postage must be made with a 4 cent stamp  and a 3 cent postage  must be made with a 3 cent stamp but only looked at allocating the stamps based on the total amount of postage

Step-by-step explanation:

From the question we are told that

   The  proof is

Every postage stamp of three cents or more can be formed using just 3 cent and 4 cent stamps.  

 Basic Step : We can form postage of 3 cents with a single 3 cent stamp and we can form postage of 4 cents using a single four cents tamp

Inductive Step: Assume that we can form postage of j cents for all non negative integers j with j <= k using just 3 cent and 4-cent stamps. We can then form postage of k+1 cents by replacing one 3 cent stamp with a 4-cent or two 4-cent stamps with three 3-cent stamps

  FLAW IDENTIFICATION

Looking the inductive step, the statement ''by replacing one 3 cent stamp with a 4-cent or two 4-cent stamps with three 3-cent stamps '' means that it is possible to use a 3-cent stamp for postage that requires a 4 -cent stamp  and this is not correct according the statement in the basic step

Generally the main flaw of this  proof is that it did not take into  consideration the fact a 4 cent postage must be made with a 4 cent stamp  and a 3 cent postage  must be made with a 3 cent stamp but only looked at allocating the stamps based on the total amount of postage

Answer:

I can't see the pdf

Step-by-step explanation:

please put the image up

Answer:

Step-by-step explanation:

sum of angles in a triangle=180º

90+60x+30x=180

90+90x=180

90(1+x)=180

1+x=2

x=1

angle A=30º

Answer:

The \(66\)th term is \(363\).

Step-by-step explanation:

To find the \(n\)th term, the formula is \(7n - 99\). Since we want to find the \(66\)th term, we can plug \(n\) for \(66\). So our expression is now \(7 \cdot 66 - 99 =\) \(66\)th term. Solving this we have

\(462 - 99 = 66\text{th term}\\363 = 66\text{th term}\\\). Therefore, the \(66\)th term is \(\boxed{363}\).

Answer:

a₆₆ = 363

Step-by-step explanation:

the nth term of an arithmetic sequence is

\(a_{n}\) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

here a₁ = - 92 and d = a₂ - a₁ = - 85 - (- 92) = - 85 + 92 = 7 , then

a₆₆ = - 92 + (65 × 7)

      = - 92 + 455

     = 363

The amount of Bruno's yearly pay deducted for FICA is approximately

A. $4,524.15. The closest option provided is A. $4521.15.

To calculate the amount of FICA deducted from Bruno's yearly pay, we need to consider the specific FICA tax rates for Social Security and Medicare.

As of 2021, the Social Security tax rate is 6.2% on income up to a certain threshold, and the Medicare tax rate is 1.45% on all income.

Given that Bruno's gross income per pay period is $4925 and he is paid monthly, we can calculate the yearly gross income as follows:

Yearly gross income = $4925 * 12 = $59,100

To calculate the FICA deduction, we need to find the sum of the Social Security and Medicare taxes. Using the respective tax rates mentioned earlier:

Social Security deduction = $59,100 * 6.2% = $3,667.20

Medicare deduction = $59,100 * 1.45% = $856.95

Adding these two deductions together:

FICA deduction = $3,667.20 + $856.95 = $4,524.15

Therefore, the amount of Bruno's yearly pay deducted for FICA is approximately $4,524.15.

The closest option provided is A. $4521.15.

for such more question on amount deducted

https://brainly.com/question/25821437

#SPJ8

Answer:

1)

D) -5<x≤-2

R) 0<y≤3

2)

D) 1≤x≤5

R)2≤y≤4

Step-by-step explanation:

(Only in 7th so might be wrong)

1)

D) -5<x≤-2

R) 0<y≤3

2)

D) 1≤x≤5

R)2≤y≤4

look at the range of where the x and y is at (1-2 included = 1<x≤2)

The estimate of 179% of 41 by rounding is about 73.19.

To find this estimate, first convert the percentage to a decimal by dividing it by 100: 179/100 = 1.79. Then, multiply this decimal by 41: 1.79 * 41 = 73.39.

For more similar questions on whole number

brainly.com/question/1852063

#SPJ8

Answer:

791.7 in.²

Step-by-step explanation:

Surface area of the composite figure = ½(surface area of sphere) + surface area of cylinder

= ½(4πr²) + (2πr(h + r)

Where,

r = ½(12) = 6 in.

h = 9 in.

SA = ½(4*π*6²) + (2*π*6(9 + 6)

SA = ½(452.39) + 565.49

SA = 791.685

SA = 791.7 in.² (nearest tenth)

Answer:

I would say A lmk if im wrong.

Step-by-step explanation:

Answer: A

Step-by-step explanation: You can use the pythagorean theorom to figure this one out. For all right traingles the sum of one of the smallest sides squared plus the sum of the other smallest side squared equal the biggest side squared or a^2+b^2=c^2. Which ever one of these doesnt fit the equation isnt a right traingle. 5^2+9^2=106, 11^2=121 106\(\neq\)121.

Answer:

92

Step-by-step explanation:

23+23+23+23= 92

Answer:

Step-by-step explanation:

Given that:

Mean μ= 100

standard deviation σ = 2.6

sample size n = 9

sample mean X = 100.6

The null hypothesis and the alternative hypothesis can be computed as follows:

\(H_o : \mu \leq 100\)

\(H_1 :\mu > 100\)

The numerical value for the test statistics is :

\(z = \dfrac{x - \mu}{\dfrac{\sigma}{\sqrt{n}}}\)

\(z = \dfrac{100.6- 100}{\dfrac{2.6}{\sqrt{9}}}\)

\(z = \dfrac{0.6}{0.8667}\)

z = 0.6923

At  ∝ = 0.05

\(t_{\alpha/2 } = 0.025\)

The critical value for the z score = 0.2443

From the z table, area under the curve, the corresponding value which is less than the significant level of 0.05 is 1.64

P- value =  0.244

c> If the true population mean is 101.3 ;

Then:

\(z = \dfrac{x - \mu}{\dfrac{\sigma}{\sqrt{n}}}\)

\(z = \dfrac{101.3- 100.6}{\dfrac{2.6}{\sqrt{9}}}\)

\(z = \dfrac{0.7}{0.8667}\)

z = 0.808

From the normal z tables

P value  =  0.2096

====================================================

Explanation:

Set A = {4,5,6,7,8,9} since these values are larger than 3 and smaller than 10. We only consider whole numbers in this range.

Set B = {1,2,3,4,5,6,7} represents positive whole numbers less than 8

To find the set \(A \cap B\) we need to see which values are in both A and B at the same time. Those values are {4,5,6,7}

So \(A \cap B = \{4,5,6,7\}\)

--------

side note: the notation \(A \cap B\) means "A intersect B", so we're looking at where the two sets intersect or overlap (ie what they have in common).

Answer:

answer is B, 9 units

Step-by-step explanation:

Answer:

C) 15.5 units

Step-by-step explanation:

Answer:

triangle XYZ is similar to triangle RPQ

scale factor = 2/5

Step-by-step explanation:

Angles X and R are given as congruent.

Angles Z and Q are right angles, so they are congruent.

Then, angles Y and P must be congruent.

The similarity statement is

triangle XYZ is similar to triangle RPQ

To find the scale factor, divide the length of a side of the image by the length of the corresponding side in the original.

10/25 = 2/5

The scale factor is 2/5.

Answer: The lower trail is 0.45km longer then the upper trail.

Step-by-step explanation: So all you need to do is find the difference between the two lengths. To do that your just going to subtract the greater length by the smaller length. So in this case:

7.25-6.8=0.45

so the lower trail is 0.45km longer then the upper trail.

Answer:

3x + 1 – 2x = 9 – 3

Step-by-step explanation:

3) 6 + 2x – 4 = x – 1

4) – 6 – 2x = - 3x – 6

5) x + x +4 +2 = 8

6) 2x + x +5 – 5 = 6

7) 2x – x – 3 – 5 = 2

8) 2x + 2 – 1 – x = 2

9) 5x – 4= 3x – 2

10) 2x – 5 +1 +x = + x – 6

11) – 2x – 5 = 6 – x – 2x

12) – 10 – 4 x + 2x = – 3 – 4x

13) – 5x – 6 + 4 = 4 + 2x – 8x

14) – x = – 6 – 2 – 2x

15) 5x – 10 – 3x +3 + 2x = 20 – x – 4 – 3 + 3x

Step-by-step explanation:

hear is your answer 9 is correct answer

The required order from least to greatest is √3 − 1, 2√10 ÷ 5, √14, 3√2, √19 + 1 and 6

An arrangement of numbers in which the numbers are arranged from smallest to greatest numbers is called ascending order.

Given that, some numbers, 3√2, √3 − 1, √19 + 1, 6, 2√10 ÷ 5 and √14.

We need to order them from least to greatest,

3√2 = 4.24

√3 − 1 = 0.73

√19 + 1 = 5.35

6

2√10 ÷ 5 = 1.26

√14 = 3.74

The order from least to greatest is :-

0.73, 1.26, 3.74, 4.24, 5.35 and 6

i.e.

√3 − 1, 2√10 ÷ 5, √14, 3√2, √19 + 1 and 6

Hence, the required order from least to greatest is √3 − 1, 2√10 ÷ 5, √14, 3√2, √19 + 1 and 6

Learn more about ascending order, click;

https://brainly.com/question/28762233

#SPJ9

No. We cannot always use synthetic divison to divide polynomials.

Synthetic division can only be used to divide polynomials if the degree of the denominator is  equal to one.

Synthetic division is only used for a linear factor of the denominator.

When the degree of the denominator is greater than one, we can use long division.

So, we cannot always use synthetic division for dividing polynomials

Therefore, no. We cannot always use synthetic divison to divide polynomials.

Learn more about synthetic division of polynomials here:

brainly.com/question/16418815:

#SPJ4

Answer:

\(\frac{5}{48}\)

Step-by-step explanation:

Answer:

5/48

Step-by-step explanation:

First multiply the numerator. 1 × 5 = 5. Then, multiply the denominator. 8 × 6 = 48. The you got your answer already. 5/48 :)

Answer:

Step-by-step explanation:

11)  $175(1 - 0.30)(1 + 0.06) = $129.85

12) slope is 2, so basic equation is

y = 2x + b

plug in your desired point

-5 = 2(-4) + b

b = 3

y = 2x + 3