According to the fundamental theorem of algebra, which polynomial function has exactly 6 roots? f (x) = 5 x superscript 4 baseline 10 x squared 2 f (x) = 5 x superscript 5 baseline 3 x superscript 4 baseline 12 x cubed 7 x squared minus 2 x 15 f (x) = 6 x superscript 5 baseline x cubed minus 4 x squared x minus 5 f (x) = 7 x superscript 6 baseline 3 x cubed 12

There is no expression that is the same as the value of 2² – 3³ + 29 which is = 2.

To simplify the expression 2² – 3³ + 29. is as follows:

2² – 3³ + 29 = 4- 9+29

= 29 -5

= 24

Therefore, there is no expression that is the same as the value of 2² – 3³ + 29. which is 2.

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£10

Step-by-step explanation:

firstly what you have to do is

since the percentage is decreased

we will say 100 - 25% = 75%

then we say 7.50/75% = 10

So we know that the original price was

£10 pounds

As 10- 25%= 7.5

The shirt's regular price is 10.

Given,

A shirt on sale for 25%off.

Sandy paid 7.50 for the shirt.

We need to find the regular price.

The regular price is the same as the selling price.

We have,

Regular price = Paid price  + offer discount%

offer discount = 25%

Paid price = 7.50

If after 25% off Sandy paid 7.50 which means Sandy paid only 75% of the price.

The regular price is always 100%

= Paid price  + offer discount%

= 75% + 25%

So we have,

75% = 7.5

Multiplying 25/75 on both sides.

25/75 x 75% = 7.5 x 25/75

25% = 2.5

We see that the offer discount is 2.5.

We have,

Regular price = Paid price  + offer discount%

                       = 7.50 + 2.5

                       = 10

Thus the shirt's regular price is 10.

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The number of the voters in the Newyork need to be sampled will be P=19,782.

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

It is given in the question that:-

Voters percentage=48%

Margin of error=0.01

Z value at 0.99 = 2.58

By using the formula:-

[tex]\rm M=z\sqrt{\dfrac{\pi(1-\pi)}{n}[/tex]

By putting the values:-

[tex]0.01=2.58\sqrt{\dfrac{0.48(1-0.48)}{n}[/tex]

[tex]\sqrt{n}=\dfrac{1.40}{0.01}[/tex]

[tex]n=19784[/tex]

Hence the number of the voters in the Newyork need to be sampled will be P=19,782.

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Answer:

The answer is 5/36.

Step-by-step explanation:

Test approved.

The probability that she rolls a 1 on the first cube and a number greater than 1 on the second cube is 5/36.

Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.

Given that Stef rolls two six-sided number cubes.

Based on the diagram of the sample space.

Therefore, the probability that she rolls a 1 on the first cube and a number greater than 1 on the second cube

=  5/36.

Hencce, the correct option is B.

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Rewrite 1/4 to have 8 as the denominator: 1/4 = 2/8

Now add the two days together:

2/8 + 3/8 = 5/8

Answer: 5/8

TheThe line that the rectangle could be rotated around is: C. the vertical line of symmetry.

Analysis

Volume=Base area×height

If the rectangle rotated around horizontal line of symmetry

V1=Ah=πr²h

=π×9×10

=90π

If the rectangle rotated around short line

V2=Ah=πr²h

=π×10²×6

=π×100×6

=600π

If the rectangle rotated around vertical line of symmetry

V3=Ah=πr²h

=π×5²×6

=π×25×6

=150π

Therefore the correct option is C.

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Equation of circle in general

For centre at (h,k)

So our equation is

Answer:

     $273

Reason:                                                                                                        

I believe this is right

Answer:

[tex]\frac{13m}{3}-\frac{n}{5}[/tex]

Step-by-step explanation:

1) Simplify [tex]\frac{47}{6}m[/tex] to  [tex]\frac{47m}{6}[/tex]

[tex]\frac{47m}{6}+n-\frac{7}{2}m-\frac{6}{5}n[/tex]

2) Simplify [tex]\frac{7}{2}m[/tex]  to [tex]\frac{7m}{2}[/tex]

[tex]\frac{47m}{6}+n-\frac{7m}{2}-\frac{6}{5}n[/tex]

3) Simplify  [tex]\frac{6}{5}n[/tex]  to[tex]\frac{6n}{5}[/tex]

[tex]\frac{47m}{6}+n-\frac{7m}{2}-\frac{6n}{5}[/tex]

4) Collect like terms.

[tex](\frac{47m}{6}-\frac{7m}{2})+(n-\frac{6n}{5})[/tex]

5) Simplify.

[tex]\frac{13m}{3}-\frac{n}{5}[/tex]

Answer:

A total of 360 residents left Planet X in the past 3 years.

Step-by-step explanation:

120 are the residents per year and the 3 represents the years so when you multiply them it would make how many residents that left Planet X in 3 years.

Answers

A total of 360 residents left Planet X in the past 3 years.

Step-by-step explanation:

120 are the residents per year and the 3 represents the years so when you multiply them it would make how many residents that left Planet X in 3 years.A total of 360 residents left Planet X in the past 3 years.

The equation of the relationship in the table, in slope-intercept form, is: y = x + 5.

The slope-intercept form for a relationship between two variables x and y is represented as: y = mx + b, where:

Slope (m) = change in y / change in x = 47 - 42 / 42 - 37 = 5/5

Slope (m) = 1

Substitute (37, 42) = (a, b) and m = 1 into y - b = m(x - a):

y - 42 = 1(x - 37)

y - 42 = x - 37

y = x - 37 + 42

y = x + 5

Equation for the relationship in the table is: y = x + 5

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Step-by-step explanation:

13 - 6 ( 2 - 6 )² + 8

= Solution

= 13 - 6 (- 4 ) ² + 8

Now...remove the negative number...because negative number raise to even powers are positive...

= 13 - 6 × 4² + 8

= 13 - 96 + 8

= 13 + 8 - 96

= 21 - 96

= - 75

Hence the answer is - 75....

[tex]..[/tex]

Step-by-step explanation:

A={1,2,3}

B={5,6}

n(a)=3

n(b)=2

Answer:

B, B

Step-by-step explanation:

< less than

> Greater Than

If it has a line under it it is equal too as well as greater or less.

The close dot means equal too and the open mean not equal to

Answer:

Simulation --> An imitation

Sample --> The part of a population

Biased sample --> A sample that is not

Population --> A group

Answer:

1.5 meters per second

Step-by-step explanation:

30 ÷ 20 = 1.5

Answer:9514 1404 393

Answer:

 h = 3V/(πr²)

Step-by-step explanation:

The formula can be solved for h by multiplying both sides by the inverse of the coefficient of h.

_____

Additional comment

Whenever a variable has a coefficient you don't want, you can make that be 1 by multiplying the equation by the inverse of the coefficient. This is the same as dividing by the coefficient. This makes use of the fact that for any non-zero 'a', the ratio a/a has a value of 1. Anything multiplied by 1 is unchanged.

 V = ah   ⇒   V/a = (ah)/a = h(a/a) = h·1 = h

Note that we multiply the whole equation (both sides of the equal sign) by 1/a. The basic rule of equality is that you can do whatever you like to an equation, as long as you do it to both sides.

Step-by-step explanation:

The appropriate test is the chi-squared test for association/independence.

A statistical inference involves hypothesis testing about a population using a sample.

In this case, Tyler wants to determine if an individual's age affects whether or not they like jazz, rock, or country music. The appropriate test is the chi-squared test for association/independence.

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Answer:

chi-squared test

Step-by-step explanation:

Got it right on the test.

Answer: 19.62 * 10^7 cm

Step-by-step explanation:

a = 9.2 * 10^7 cm

Area = 5.612 * 10^14 cm^2

Find: Perimeter - ?

b = (5.612 * 10^14) / (9.2 * 10^7) = 0.61 * 10^7 cm

Perimeter = (9.2 * 10^7 + 0.61 * 10^7) * 2 = (9.2 + 0.61) * 10^7 * 2 = 9.81 * 2 * 10^7 = 19.62 * 10^7 cm

The equation of line which is parallel to line is y = (-2x-7)/3.

Gradient is the ratio between change in y-axis to change in x-axis.

Here, Given Equation of line is y = [tex]\frac{-2}{3}x+9[/tex]

gradient of line m₁ = -2/3

Equation of line passing through point (-8, 3) and gradient -2/3 (parallel to given line) is

(y - y₁) = m₂(x - x₁)

( y - 3) = -2/3(x+8)

3y - 9 = -2x -16

3y = -2x -16 + 9

3y = -2x -7

y = (-2x-7)/3

Thus, the equation of line which is parallel to line is y = (-2x-7)/3

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Answer:

D

Step-by-step explanation:

the other 3 options are all true.

the sum of all angles in a triangle is always 180°.

so, when T is 40°, that leaves 180-40 = 140° to the other 2 angles. in an isoceles triangle they must be equal to each other, so they are half of the remaining 140°, which is 70°.

and of course the 2 sides are equal (hence "isoceles").

The radius of the circular garden whose circumference is 122.46 feet is: 19.5 feet.

Circumference = 2πr, where r is the radius of the circle.

Given the following:

122.46 = 2(3.14)(r)

122.46/2(3.14) = r

r = 19.5 feet.

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The weight of baby in kg is, 3.659 kg.

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

The baby weighs 8.06 lbs.

Now, We know that;

⇒ 1 pound = 0.454 kg

Hence, The weight of baby in kg is,

⇒ 8.06 pounds = 8.06 × 0.454 kg

                        = 3.659 kg

Thus, The weight of baby in kg is, 3.659 kg.

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Answer:

35%

Step-by-step explanation:

Assuming that there are no other animals in the vet other than dogs and cats, that means the total amount of animals is 21 + 39, which is 60 animals. To find the percent of cats, simply place the number of cats based on the ratio (21) over the total number of animals (60) and multiply by a 100:

21/60 = 0.35

0.35 x 100 = 35%

Hope this helps!!

Answer:

35%.

Step-by-step explanation:

Fraction that  are cats =  21 / (21+39)

= 21/60

= 100 * 21/60

= 35%.

Answer:

y - 3 = -2 * (x+2)

Step-by-step explanation:

Answer:

the answer is 63 degrees

Step-by-step explanation:

[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]

this question can be easily solved by using unitary method ~

[tex]number \: of \: pages \: he \: can \: write \: in \: 1 \: hour = 2 \frac{1}{3} \\ \\ \longrightarrow \: \frac{7}{2} \: pages \\ \\ \\ \therefore \: number \: of \: pages \: he \: can \: write \: in \: 5 \frac{1}{7} hours \\ \\ \longrightarrow \: \frac{7}{2} \times 5 \frac{1}{7} \\ \\ \longrightarrow \frac{\cancel7}{2} \times \frac{36}{\cancel7} \\ \\ \longrightarrow \: 18 \: pages[/tex]

hope helpful ~