What is the product of all constants $k$ such that the quadratic $x^2 + kx +15$ can be factored in the form $(x+a)(x+b)$, where $a$ and $b$ are integers?

Answer:

The answer gonna be B

u welcome

Answer:

A

Step-by-step explanation:

We can see that our figure is composed of a cylinder and a cone.

So, we can utilize the surface area formulas.

The surface area of a cylinder is given by:

[tex]SA=2\pi r^2+2\pi r h[/tex]

The first term is the two circular bases, and the second term is the lateral surface area.

Notice that the circular base has a diameter of 6. So, its radius is 3.

Also, the height of the cylinder is 50.

However, notice that one of the circular bases is not included in our surface area as it’s connected to the cone. So, we will remove that from our surface area. This gives us:

[tex]SA=\pi r^2+2\pi rh[/tex]

Therefore, by substituting 3 for r, the radius, and 50 for the height h we can see that:

[tex]\begin{aligned}SA&=\pi(3)^2+2\pi(3)(50)\\&=9\pi+300\pi\\&=309\pi\end{aligned}[/tex]

Now, we can determine the SA of the cone.

Again, we will only need to lateral surface area, since the circular base is connected to the cylinder.

The lateral surface area of a cone is given by the formula:

[tex]SA=\pi r\ell[/tex]

Where r is the radius and l is the slant height.

The radius is 3 and the slant height is 5. Therefore:

[tex]SA=\pi(3)(5)=15\pi[/tex]

So, our total surface area is:

[tex]SA_{\text{Total}}=309\pi+15\pi[/tex]

Simplify:

[tex]SA_{\text{Total}}=324\pi\\[/tex]

Approximate:

[tex]SA_{\text{Total}}\approx1017.9\text{ units}^2[/tex]

Hence, our answer is A.

Answer:

Step-by-step explanation:

3(x-3)+x(r+4)

3x-9+xr+4x

7x+9+xr

Answer:

seven and eight hundred ninety-three ten-thousandths

Step-by-step explanation:

20₁₀ = 16₁₀ + 4₁₀

and in base 10, 2⁴ = 16 and 2² = 4. So

20₁₀ = 10100₂

In other words,

10100₂ = 1 • 2⁴ + 0 • 2³ + 1 • 2² + 0 • 2¹ + 0 • 2⁰

Answer:

cos(52.5°)sin(7.5°)

sin(52.5°)sin(7.5°)

cos(52.5°)cos(7.5°)

sin(52.5°)cos(7.5°)

In increasing order , the expressions are written as follows , cos(52.5°)sin(7.5°) , sin(52.5°)sin(7.5°) , cos(52.5°)cos(7.5°) , sin(52.5°)cos(7.5°).

Statements that have more than one term and a variable is connected to another variable by a mathematical operator are called Expressions.

The expression given are

cos(52.5°)cos(7.5°)

sin(52.5°)cos(7.5°)

sin(52.5°)sin(7.5°)

cos(52.5°)sin(7.5°)

To arrange them into increasing order , the value of it has to be determined.

cos(52.5°)cos(7.5°) = 0.6088 * 0.9914 = 0.6036

sin(52.5°)cos(7.5°)= 0.7933*0.9914 = 0.7865

sin(52.5°)sin(7.5°)= 0.7933*0.1305 = 0.1035

cos(52.5°)sin(7.5°)= 0.6088*0.1305= 0.07945

Therefore in Increasing order , the expressions are written as follows , cos(52.5°)sin(7.5°) , sin(52.5°)sin(7.5°) , cos(52.5°)cos(7.5°) , sin(52.5°)cos(7.5°).

To know more about Expressions

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Answer:

9

Step-by-step explanation:

13*3=39

48-39=9

Answer:

48-39=9

        ^

(13 x 3=39)

Answer:

false

Step-by-step explanation:

fossil fuels are hard to come by, and take a very long time to get back, I dont know about energy, but there is far more pollution than using energy from water or air

Answer: sum

Step-by-step explanation:

Answer:

sum

Hope this helped!

Have an amazing day!

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

Explanation:

Let's find the slope of the graphed line

Use the slope formula on two points from the diagonal line. I'll pick the two points (-1,-2) and (0,2) to get

m = (y2-y1)/(x2-x1)

m = (2-(-2))/(0-(-1))

m = (2+2)/(0+1)

m = 4/1

m = 4

The slope of the graph is 4. This is the same as the rate of change for this graph.

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

Repeat those steps for the data table

I'll pick the first two rows (0,-6) and (2,-2)

m = (y2-y1)/(x2-x1)

m = (-2-(-6))/(2-0)

m = (-2+6)/(2-0)

m = 4/2

m = 2

The slope, or rate of change, here is 2

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

Now subtract the two slopes: 4-2 = 2

The answer is 2.

The difference between the rates of change for these two functions

is 2.

The slope is the rate of change of the y-axis with respect to the x-axis.

The equation of a line in slope-intercept form is y = mx + b, where

slope = m and y-intercept = b.

We know the greater the absolute value of a slope is the more steeper is its graph or the rate of change is large.

We know the slope(m) between the two points (x₁, y₁) and (x₂, y₂) is given by, m = (y₂ - y₁)/(x₂ - x₁).

The two coordinate points of the graph of the line are (0, 2) and (- 1, - 2).

slope(m₁) = (- 2 - 2)/(- 1 - 0).

slope(m₁) = 4.

Slope(m₂) = (- 2 + 6)/(2 - 0).

slope(m₂) = 2.

Therefore, The difference between the rate of change of the two functions is, m₁ - m₂ = 4 - 2 = 2.

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Answer:

65%

Step-by-step explanation:

What you need to do is add both the clean and the dirty mugs together to get a total amount of mugs (60) and then divide 39 by 60 because you are dividing the mugs that you want to find the percentage of by the total amount of mugs. The equation would look like this:

39/60=0.65

therefore, the answer is 65%

Answer:

X=8

Step-by-step explanation:

46+9x-8=14x-2

46-8+2=14x-9x

40=5x

8=x

Answer:

x=8

Step-by-step explanation:

Hope this helped have an amazing day!

Answer:

401.951

Step-by-step explanation:

Answer:

$401.951

Step-by-step explanation:

Answer:

Concept: Mathematical Sequences

Answer:

For more;

4.76

for less;

0.46

Step-by-step explanation:

Here, we intend getting the decimals that Carmen should make in her game given the numbers she drew

She has two types to make; a decimal less than 1 and a decimal more than 1

If the decimal should be less than 1, the number zero should lead;

And since she is using three of the numbers, we can have something like;

0.46

To make a decimal more than one, she could actually start with any of the numbers other than zero

we can have something like 4.76

Answer:

1/5J + 63/5

Step-by-step explanation:

Answer:

22 inches is the answer

Answer:

same

Step-by-step explanation:

Answer:

same

Step-by-step explanation: same free coins ;)

Answer:

m=−37/3

Step-by-step explanation:

Answer:

Step-by-step explanation:  

0.08 x 4,800 = 384 + 4800 = 5184 sorry if i get it wrong

Answer:

84 regular light bulbs

Step-by-step explanation:

When there are 7 regular light bulbs to every 1 energy saving one, there will be 7 more added for every 1 energy saving light bulb that there is. So if there is 12 energy saving light bulbs, just multiply 7 by 12 and you will get your answer.

Answer:

Henry's cousin has a good singing voice

Step-by-step explanation:

Answer:

D: Henry’s cousin went to an audition.

Step-by-step explanation:

I took the test

Answer:

D is your answer HOPE THIS HELPS THANK ME PLEASE

Step-by-step explanation:

Answer:

5.4

Step-by-step explanation:

The number after the decimal is bigger in 5.4 than 5.098 which is the only number that matters in this question however if both numbers were the same you would move to the next number and whichever one has the bigger number.

Area of triangle:

A= 1/2*b*h

=  1/2 *(29)* (19)

= 1/2 *(551)

= 275.5 in^2

Area of rectangle:

A= l * w

= (29) * (10)

= 290 in^2

Total Area:

275.5 + 290 = 565.5 in^2

Hope this helps! Have a great day :)

Answer:

565.5 in

Step-by-step explanation:

The area for a rectangle is A = lw

So A = (29)(10)

A = 290

The area for a triangle is A = 1/2bh

So A = 1/2(29)(19)

A = 1/2(551)

A = 275.5

You combine the two numbers to get a total area of 565.5 in