у=-3x+3
y = -9x + 15

Answer:

[tex]\text{(C) }300\pi\:\mathrm{cm^3}[/tex]

Step-by-step explanation:

The volume of a cylinder with radius [tex]r[/tex] and height [tex]h[/tex] is given by [tex]V=r^2\pi \cdot h[/tex].

What we're given:

Substituting given values, we get:

[tex]V=5^2\pi \cdot 12 =\boxed{300\pi\:\mathrm{cm^3}}[/tex]

Answer:

c

Step-by-step explanation:

The formula for the volume of a cylinder is [tex]V=\pi r^2h[/tex]

We know r is 5, and h is 12.

Then we can just plug the values into the formula.

[tex]V=\pi (5)^2(12)\\ V=\pi (25)(12)\\\V=\pi (300)[/tex]

So the answer is c, 300pi

Answer:

The remainder is -4112.

Step-by-step explanation:

We can use the Polynomial Remainder Theorem. According to the PRT, when we divide a polynomial P(x) by a binomial in the form of (x - a), then the remainder will be P(a).

We are dividing:

[tex](4x^3+8x-32)\text{ by } (x+10)[/tex]

We can rewrite the divisor as:

[tex]x+10=x-(-10)[/tex]

So, a = -10.

Then according to the PRT, the remainder of the operation will be:

[tex]R=P(-10)=4(-10)^3+8(-10)-32=-4112[/tex]

Answer:

Hi, there your answer is x=4

Step-by-step explanation:

Step 1: Add 2 to both sides.

3x−2+2=10+2

3x=12

Step 2: Divide both sides by 3.

[tex]\frac{3x}{3}=\frac{12}{3}[/tex]

x=4

the SAS is a special forces Unit let's goo

Answer:

3(n-8)

Step-by-step explanation:

Answer:

they are similar cuz it resembles a "z" pattern. The angles are so the same.

Given:

The two numbers are [tex]-\dfrac{1}{2}[/tex] and [tex]-\dfrac{1}{3}[/tex].

To find:

The 4 rational numbers between the given numbers.

Solution:

We have,

[tex]-\dfrac{1}{2}[/tex] and [tex]-\dfrac{1}{3}[/tex]

First we need to make common denominators. So multiply and divide the first fraction by 3 and second fraction by 2.

[tex]-\dfrac{1\times 3}{2\times 3}=-\dfrac{3}{6}[/tex]

[tex]-\dfrac{1\times 2}{3\times 2}=-\dfrac{2}{6}[/tex]

We need to find 4 rational numbers between the given numbers. So, multiply and divide both fractions by five, (4+1=5).

[tex]-\dfrac{3\times 5}{6\times 5}=-\dfrac{15}{30}[/tex]

[tex]-\dfrac{2\times 5}{6\times 5}=-\dfrac{10}{30}[/tex]

Now, the four numbers between -15 to -10 are -14, -13, -12, -11.

[tex]-15<-14<-13<-12<-11<-10[/tex]

[tex]-\dfrac{15}{30}<-\dfrac{14}{30}<-\dfrac{13}{30}<-\dfrac{12}{30}<-\dfrac{11}{30}<-\dfrac{10}{30}[/tex]

[tex]-\dfrac{1}{2}<-\dfrac{14}{30}<-\dfrac{13}{30}<-\dfrac{12}{30}<-\dfrac{11}{30}<-\dfrac{1}{3}[/tex]

Therefore, the 4 rational number between the given numbers are [tex]-\dfrac{14}{30},\ -\dfrac{13}{30},\ -\dfrac{12}{30}\ -\dfrac{11}{30}[/tex].

Answer:

The fourth coefficient is 4.

Step-by-step explanation:

Pascal's Triangle in this case has 5 rows of coefficients because the highest power in (y + w)^4 is 4.  4 plus 1 is 5.

     Here's the appropriate Pascal's Triangle:

     1

    1  1

   1  2  1

 1   3  3   1

1  4  6  4    1          Use this row when expanding the 4th power of (v + w).

Notice that in the given expansion, the coefficients are

1, 4, 6, 4  1

This corresponds to the last (5th) row of Pascal's Triangle (above).

So the correct coefficient to be placed in the box is 4.

Answer: The gradient of the line segment between the points (-5,2) and (4,3) is [tex]\dfrac{1}{9}[/tex].

Step-by-step explanation:

Formula for gradient of a line segment :

[tex]\text{Gradient}=\dfrac{\text{Difference between y-coordinates}}{\text{Difference between x-coordinates}}[/tex]

Given points of the line segment: (-5,2) and (4,3)

[tex]\text{Gradient} =\dfrac{3-2}{4-(-5)}[/tex]

[tex]\text{Gradient} =\dfrac{1}{4+5)}[/tex]

[tex]\text{Gradient} =\dfrac{1}{9}[/tex]

Therefore , the gradient of the line segment between the points (-5,2) and (4,3) is [tex]\dfrac{1}{9}[/tex].

Answer:

Cost of case = $5

Step-by-step explanation:

x = cost of camera and y = cost of case

x = y + 90

x + y = 100

y + 90 + y = 100

2y = 10

y = 5

x = y + 90

x = 5 + 90

x = 95

Therefore, the cost of the camera is $95 and the cost of the case is $5.

The cost of case is 5 dollars.

The equation is the defined as mathematical statements that have a minimum of two terms containing variables or numbers is equal.

Let,

Cost of camera = a and

Cost of case = b

Given that, camera and a case cost 100 dollars

a + b = 100

Since, the camera cost 90 more dollars than the case

So, a = b + 90

Substitute the value in the equation a + b = 100

b + 90 + b = 100

2b = 10

Divided by 2 both the sides

b = 5

Substitute the value of b in equation

a = b+ 90

a = 5 + 90

a = 95

So, the cost of the camera is $95 and the cost of the case is $5.

Hence, the cost of the case is 5 dollars.

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Answer:

Step-by-step explanation:

formula of volume of cone is given so u simply substitute the values given and calculate.

Work is done for u .

Hope this helps u

Answer:

x=0

Step-by-step explanation:

because the y values are not changing and the x values are only changing from positive to negative.

Answer:

Maximum value.

it = -1.

Step-by-step explanation:

Maximum value as the coefficient of x^2  is negative.

To find this value we convert to vertex form:

y = -3x^2 + 6x - 4

y = -3(x^2 - 2x) - 4

y = -3[(x - 1)^2 - 1] - 4

y = -3(x - 1)^2 + 3 - 4

y = =3(x - 1)^2 - 1

Minimum value = -1.

Answer:

69.08 ⇒ nearest tenth

To round 69.08 to the nearest tenth, 0 is in the tenths place and 8 is in the hundredths place.  Since the digit in the hundredths place (8) is greater than  5, add 1 to the digit in the tenths place (0).

1 + 0 = 1, so the digit in the tenths place becomes 1  & the digit in the hundredths place is dropped.

∴ 69.08 ≈ 69.1 (corrected to the nearest tenth)

43.96 ⇒ nearest tenth

To round 43.96 to the nearest tenth, 9 is in the tenths place and 6 is in the hundredths place.  Since the digit in the hundredths place (6) is more than 5, add 1 to the digit in the tenths place (9), add 1 to the digit in the tenths place (9). This will also add 1 to the whole number part and make the fractional part 0.

1 + 9 = 10

∴ 43.96 ≈ 44 (corrected to the nearest tenth)

39.564 ⇒ nearest tenth

To round 39.564 to the nearest tenth, 5 is in the tenths place and 6 is in the hundredths place.  Since the digit in the hundredths place (6) is more than 5, add 1 to the digit in the tenths place (5), add 1 to the digit in the tenths place (5).

1 + 5 = 6, so the digit in the tenths place becomes 6 & the digit in the hundredths and thousandths place is dropped.

∴ 39.564 ≈ 39.6 (corrected to the nearest tenth)

Rounding to the nearest tenth are:

Rounding to the nearest tenth means finding the nearest multiple of 0.1 or one decimal place.

To do this, examine the digit in the hundredth place and decide whether to round up or down based on that digit.

For 69.08, the digit in the hundredth place is 0.

Since 0 is less than 5 then round down, which means the digit in the tenths place remains the same.

Thus, 69.08 rounded to the nearest tenth is 69.1.

For 43.96, the digit in the hundredth place is 9.

Since 9 is greater than or equal to 5, increasing the digit in the tenths place by 1.

Therefore, 43.96 rounded to the nearest tenth is 44.0.

For 39.564, the digit in the hundredth place is 5.

Since 5 is exactly halfway between 0 and 10, round to the nearest even number.

Thus, 39.564 rounded to the nearest tenth is 39.6.

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Answer:

187, 199, 211, 250, 298, 331, 347, 362

[tex]median = {( \frac{n}{2} + 1) }^{th} \: value \\ = ( \frac{8}{2} + 1) {}^{th} \: value \\ = {5}^{th} \: value \\ median = 298[/tex]

Answer:

The median is the middle number in a set of data when the data is arranged in ascending (this is more common) or descending order. If there are an even number of values in the data set, the median is the arithmetic mean of the two middle numbers. Thus, the median separates the lower and higher half of a data set.

Step-by-step explanation:

ascending order : 187, 199, 211, 250, 298, 331, 347, 362

answer: 250, 298 .

Answer:

a. 12 students had received college credit for math

b. 26 students had received college credit for science

Answer:

a = 8

Step-by-step explanation:

a ÷ 2 - 8 + 8 = - 4 + 8

a ÷ 2 = 4

a ÷ 2 × 2 = 4 × 2

a = 8

Answer:

a = 8

Step-by-step explanation:

Given

[tex]\frac{a}{2}[/tex] - 8 = - 4 ( add 8 to both sides )

[tex]\frac{a}{2}[/tex] = 4 ( multiply both sides by 2 to clear the fraction )

a = 8

Answer:

ur answer is 8.06

Step-by-step explanation:

a² + b²= c²

4² + 7² = c²

16 + 49 = c²

65 sooo u do √65= 8.06

Answer:

Are there any options to choose from???

Answer:

The Principal = $75,000

Step-by-step explanation:

Formula for finding the principal:

I × 100/ R × T

Therefore;

Principal = 45 × 100 / 3/ 100 × 2

[tex] = \: \frac{45 \times 100}{ \frac{3}{100} \times 2} \\ = \frac{4500}{ \frac{3}{50} } \\ = 4500 \times \frac{50}{3} \\ = 1500 \times 50 \\ = 75000.00[/tex]

Which means that the Principal is $75,000.00

Answer:

y = 3/2 x - 9/4

Step-by-step explanation:

bring all the y's to one side.

4y = 6x-9

divide by 4 to isolate the y

y = 6/4x - 9/4

simplify

y = 3/2 x - 9/4

Answer:

y = (3/2)x - 9/4

Step-by-step explanation:

Slope intercept form is

y = mx + b

------------------

6x - 4y = 9

subtract 6x from both sides

-4y = -6x + 9

Divide both sides by -4

y = (3/2)x - 9/4

Answer:

14 windows is the answer

Step-by-step explanation:

windows washed before lunch = 1/3 of total windows

= 1/3 * 33

= 11 windows

windows washed after lunch = 8

windows remaining = total - washed before lunch - washed after lunch

remaining = 33 - 11 - 8

= 33 - 19

= 14 windows

Answer:

h=4cm

Step-by-step explanation:

a) volume of a cuboid= LBH

cuboid a=(3x2x8)cm³

=48cm³

cuboidb

6cmx2cmxh=48cm³

12cm²xh=48cm³

12cm²h/12cm²=48cm³/12cm²

h=4cm

Answer: u = 3

Step-by-step explanation:

Divide each side by -7 to get u = 3.

Answer:

3

Step-by-step explanation:

-7u = -21

To solve the problem we need to isolate u. Since -7 is being multiplied by u, we could divide to get rid of it.

-7u

[tex] \frac{ - 7u}{ - 7} = - 21 \div - 7[/tex]

u= -21/-7

u = 3

Answer:

k = -12

Step-by-step explanation:

When lines are perpendicular, their slopes are the opposite reciprocal of each other.

The opposite reciprocal of [tex]\frac{1}{4}[/tex] is -4

[tex]\frac{k}{3}=-4[/tex]

k = -12

(a) A temperature of -2 °C is warmer than a temperature of -5 °C as the temperature on the graph decreases.

(b)The inequality -2>-5 will be used to illustrate the connection between -2 and -5.

A diagram depicting the relationship between two or more variables, each measured along with one of a pair of axes at right angles.

On a number line, graph all the temperature that are warmer than -2°C.

(a)-2 °C  temperature is warmer,As the temperature in the graph is decreasing,-2 °C temperature is warmer than -5 °C.

The inequality to express the relationship between -2 and -5 will be -2>-5.

Hence,temperature of -2 °C is warmer than a temperature of -5 °C as the temperature on the graph decreases.

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