Find the value of k for which x-7 is a
factor of f(x) = x3 - 6x2 + kx - 7. State
the remainder when f(x) divided by X-5.

9514 1404 393

Answer:

  3 +3d ≥ 15

  d ≥ 4

Step-by-step explanation:

Since Joe runs 3 miles for each day he runs, the number of miles he runs in d days is 3d. That, added to the distance he has already run, will total the amount for the week. He wants that to be at least (greater than or equal to) 15 miles:

  3 + 3d ≥ 15

__

We can divide by 3 to get ...

  1 + d ≥ 5

  d ≥ 4 . . . . . . . subtract 1

Joe must run at least 4 additional days this week to run at least 15 miles.

Answer:

Here, the test statistics ( 20.951 ) is greater than the critical value ( 7.815 )

Therefore, we reject H₀ at 0.05 level of significance.

Hence, there is significant evidence to support the claim that In this community, vehicle ownership distribution is NOT like that of all U.S household

Step-by-step explanation:

Given the data in the question;

Number of vehicle owned                 Number of households

0                                                             20

1                                                              35

2                                                             23

3 or more                                               22

Total ( n )                                               100

so

Null hypothesis           H₀ : In this community, vehicle ownership distribution is like that of all U.S household

Alternative hypothesis Hₐ : In this community, vehicle ownership distribution is NOT like that of all U.S household

Also given that, ∝ = 0.05

Now, we compute the test statistics;

x² = ∑[ ( O[tex]_i[/tex] - E[tex]_i[/tex] ) / E[tex]_i[/tex] ]

where E[tex]_i[/tex] is expected frequency and O[tex]_i[/tex] is observed frequency.

so we make our table for chi square test statistics

No. of                 O[tex]_i[/tex]            P                E[tex]_i[/tex]            (O[tex]_i[/tex] - E[tex]_i[/tex])²             (O[tex]_i[/tex] - E[tex]_i[/tex])²/E[tex]_i[/tex]

Vehicle                                              (n×P)

owned

0                        20         0.087          8.7            127.69                 14.677

1                         35         0.331           33.1            3.61                     0.109

2                        23         0.381           38.1           228.01                 5.985

3 or more          22         0.201          20.1           3.61                      0.180

Total                  100                           100                                        20.951

hence, x² = 20.951

Now, degree of freedom df = k - 1 = 4 - 1 = 3

From Chi-Square critical value table; ( right tailed test ) for ∝ = 0.05

[tex]x_{0.05, 3[/tex] = 7.815

Decision Rule

Reject H₀ if x² is greater than xₐ².

Here, the test statistics ( 20.951 ) is greater than the critical value ( 7.815 )

Therefore, we reject H₀ at 0.05 level of significance.

Hence, there is significant evidence to support the claim that In this community, vehicle ownership distribution is NOT like that of all U.S household

Answer:

The z-score of a beetle with a length of 2.38 centimeters is 2.4

Step-by-step explanation:

As we know,

z = (x - µ)/σ

x is the length of the beetle species.

µ is the mean length

σ is the standard deviation

Substituting the given values in above equation, we get

z = (2.38 - 1.9)/0.2

z = 0.48/0.2

z = 2.4

Answer:

Step-by-step explanation: $5.40 + $0.54 now equals $5.94

Answer:

Step-by-step explanation:

Exponential function representing final amount with compound interest compounded continuously,

[tex]A=Pe^{rt}[/tex]

Here, A = Final amount

P = principal amount

r = Rate of interest

t = Duration of investment

For P = $9600

r = 6%

A = 2 × 9600 = $19200

By substituting these values in the formula,

[tex]19200=9600(e)^{0.06\times t}[/tex]

[tex]2=e^{0.06t}[/tex]

[tex]ln(2)=ln(e^{0.06t})[/tex]

ln(2) = 0.06t

t = [tex]\frac{0.693147}{0.06}[/tex]

t = 11.55245

t ≈ 11.5525 years

Any amount will get doubled (with the same rate of interest and duration of investment) in the same time.

Therefore, $960000 will get doubled in 11.5525 years.

Answer:

sometimes

Step-by-step explanation:

Answer:

Six Hundred Thousand One Hundred and Eight

Answer:

The correct answer is G(1, 4).so go through it.

9514 1404 393

Answer:

  A)  3y = x + 16

Step-by-step explanation:

The equation of a perpendicular line can be found by swapping the x- and y-coefficients and negating one of them. The constant will be chosen to match the given point.

Swapping coefficients, we get ...

  -3y = x + c

Negating the y-coefficient gives ...

  3y = x + c

Filling in the given point, we have ...

  3(5) = -1 + c

  16 = c

The equation of the perpendicular line can be written as ...

  3y = x + 16 . . . . matches choice A

_____

Note that choice A is the only equation that gives a line with positive slope. The given equation has negative slope, so its perpendicular must have positive slope.

Answer:

7z is the sum of seven 'z's while z to the power of z is the multiplication of z to itself z times.

Step-by-step explanation:

7z is 7 times of z.

7z= z +z +z +z +z +z +z

z⁷ (z to the power of 7) is multiplying z by itself 7 times.

z⁷= z ×z ×z ×z ×z ×z ×z

Answer:

-4

Step-by-step explanation:

[tex] \sqrt{16} = 4[/tex]

but there is a negative sign so -4

Answer:

4

as the square root of 16 is 4 the answer will be +as well as -4 but the minus sign will be cancel out as there iss -sign outside

Answer:

One Answer

Step-by-step explanation:

Take two points like (8,2) and (12,4) and do y2-y1/x2-x1.

4-2/12-8 = 4/2 = 2.

Then that another point and plug it in to the equation, y = 2x + b.

i will use (8,2). 2 = 2(8)+b. solve this and you get b= -14.

now you found your answer. y=2x + -14.

Answer:

$3990

Step-by-step explanation:

First, if the tuition increased by 300 the first year, and 330 the next year, I can infer that the tuition increases by $30 a year. This year, the the tuition will cost 360, because 330 + 30 = 360. So, this year the tuition will be 3990, because 3630 + 360 = 3990.

Hope this helps

Answer:A)

A shape has four sides if and only if it's a quadrilateral.

Step-by-step explanation:

If a conditional statement and its converse are both true, then the statement is a biconditional statement. Biconditional statements can be written using the phrase “if and only if.” For example, a polygon is a hexagon if and only if it has six sides.

9514 1404 393

Answer:

  16

Step-by-step explanation:

The largest square is 7-2 = 5 ratio units larger than the smaller square. Hence, each ratio unit stands for (10 cm)/5 = 2 cm. The side length of the smaller square is 2(2 cm) = 4 cm. The perimeter is 4 times that: 16 cm.

The perimeter of the smallest square is 16 cm.

8300 is the product of 8.31 and 1,000

Multiplication is a method of finding the product of two or more numbers

We need to find the product of 8.31 and 1,000.

product of Eight point three one and thousand.

In the given numbers 8.31 is a decimal number and 1000 is a whole number.

To multiply both let us make thousand as a whole number by placing two zeros on right side of 1000 with a point.

1000.00

 ×  8.31

_________

8310

Hence, 8300 is the product of 8.31 and 1,000

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Answer:

140 seats

Step-by-step explanation:

40 rows

1ˢᵗ row = 20 seats

39 next rows = 2×20 = 40 seats

First 4 rows = 20 seats + 3(40) seats = 140 seats

➪the 2ⁿᵈ, 3ʳᵈ and 4ᵗʰ rows have equal number of seats = 40 seats

Answer:

98

Step-by-step explanation:

Answer:

[tex]\huge\colorbox{violet}{✏﹏ \: BTS \: }[/tex]

➳ Ofc BTS!!!!!

➳Jimin - BTS

Answer:

a. [tex]5 \frac{21}{40} [/tex]

b. [tex] \frac{1}{42} [/tex]

Step-by-step explanation:

[tex]a. \: 12 \frac{2}{5} - 6 \frac{7}{8} [/tex]

[tex] \frac{62}{5} - \frac{55}{8} [/tex]

[tex] \frac{62}{8} \times \frac{8}{8} - \frac{55}{8} \times \frac{5}{5} [/tex]

[tex] \frac{62 \times 8 - 55 \times 5}{40} [/tex]

[tex] \frac{221}{40} [/tex]

[tex]5 \frac{21}{40} [/tex]

[tex]b. \: \frac{3}{14} - \frac{4}{21} [/tex]

[tex] \frac{3}{14} \times \frac{3}{3} - \frac{4}{21} \times \frac{2}{2} [/tex]

[tex] \frac{3 \times 3}{42} - \frac{4 \times 2}{42} [/tex]

[tex] \frac{1}{42} [/tex]

Hope it is helpful....

Given:

A prism has a base area of [tex]20\pi [/tex] square units and a volume of [tex]120\pi[/tex] cubic units.

To find:

The volume of the cylinder if the cylinder has the same base area and height.

Solution:

Volume of a prism is:

[tex]V=Bh[/tex]

Where, B is the base area and h is the height of the prism.

The volume of cylinder is:

[tex]V=\pi r^2h[/tex]

[tex]V=Bh[/tex]

Where, r is the radius, h is the height of the cylinder and [tex]B=\pi r^2[/tex] is the base area.

Since base area and height of the cylinder are same as the prism, therefore, there volumes are equal.

Hence the volume of the cylinder is [tex]120\pi[/tex] cubic units.

Answer:

120 pi cubic units

Step-by-step explanation:

Answer:

27) x = 2^(y) – 5.

Asymptote: x = -5.

D: x > -5; (-5, infinity).

R: -infinity < f(x) < infinity; ARN;

(-infinity, infinity).

x → -infinity, f(x) → -infinity.

x → +infinity, f(x) → +infinity.

________________________

28) x = 2^-(y–3).

Asymptote: x = 0.

D: x > 0; (0, infinity).

R: -infinity < f(x) < infinity; ARN;

(-infinity, infinity).

x → -infinity, f(x) → +infinity.

x → +infinity, f(x) → -infinity.

________________________

29) x = 4^(y–2) + 1.

Asymptote: x = 1.

D: x > 1; (1, infinity).

R: -infinity < f(x) < infinity; ARN;

(-infinity, infinity).

x → -infinity, f(x) → -infinity.

x → +infinity, f(x) → +infinity.

________________________

Answer:

A

Step-by-step explanation:

Equation

2x + 3x + 8 + 7x - 2 = 90        

Solution

Combine like terms on the left

12x + 6 = 90                    Subtract 6 on both sides

12x = 90 - 6

12x = 84                         Divide by 12

x = 84/12

x = 7

True

______

A closed circuit basically means everything is connected by wires and for this setup every device receives electricity making this true

Answer:

|x-8| = 7

Step-by-step explanation:

The following equation would make x=15 when solved.

|x-8| = 7

This is because if we substitute 15 for x we would have to subtract 8 from 15 which would give us 7 and the absolute value of 7 is 7 which would ultimately make the equation true.

Answer:

=

5

Step-by-step explanation:

Answer:

X = 5

Step-by-step explanation:

Answer:

The answer is 46

Step-by-step explanation:

Since there is a diagonal, you can't assume that it is the width because if it was the width, it would say so. Since 17 was the measure of the diagonal, I did pythagorean theorem: 15^2 + x^2 =  17^2 --> 225 + x^2 = 289 --> x^2 = 64 --> x = 8. So now we have figured out the width of the rectangle and it's 8. Now we can add: 8 + 8 + 15 + 15 = 46. That is why the answer is 46.

The perimeter of the rectangle  46 feet.

The correct option is (A).

Perimeter is the distance around the edge of a shape.

Learn how to find the perimeter by adding up the side lengths of various shapes.

Given : length= 15 feet and diagonal= 17 feet

Since there is a diagonal.

So, using Pythagorean theorem:

H² = P²+B²

15²+ x² =  17²

or, 225 + x² = 289

or, x² = 64

x = ± 8 feet.

Thus, width = 8 feet

Perimeter of rectangle= 2*(l+b)

= 2*(15+8)

= 2*23

=46 feet

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Mason needs 9 more seed packets to have a total of 20 plants in his yard.

Simplified:

20-11=9

129×526

=67,854

it is the correct answer

hope it helps you have a good day please mark me as brain list

Answer:

129×526

= 67854 is your answer

hope it is helpful to you