Please help! Math Class.
Data set: 10, 12, 12, 16, 24
Mean = 14.8

Answer:

Measure the height of the cushion if you are covering a box cushion. Multiply the width of the cushion by two and the depth of the cushion by two, and add those numbers together to figure out how much fabric you will need to make the sides, front and back of the box cushion. Add 2 inches for seam allowances.

Step-by-step explanation:

Step-by-step explanation:

x = 5

x = -7

x = 18

x = 14

these are the answers, comment if you still have doubts.

[tex]f(x) = 5 \cdot 3^x\\\\\\f(-2) = 5\cdot 3^{-2}\\\\~~~~~~~~~=5\cdot \dfrac 1{3^2}\\\\~~~~~~~~~=\dfrac 59\\\\\text{Hence the answer is D.}[/tex]

Answer:

  (c)  x² -64

Step-by-step explanation:

The factoring of the difference of squares is one of the special forms we use in the study of polynomials. It tells you ...

  a² -b² = (a +b)(a -b)

__

You have a factor (x +8), so a=x, b=8, and the "expanded" form is ...

  a² -b² = x² -8² = x² -64

Answer:

x^2-64

Step-by-step explanation:

just did the test

Answer:

Height = 18 units

Step-by-step explanation:

Given :

Volume= 162pi, radius= 3 units

We know,

Volume of Cylinder= Pi * (radius)^2*h

now you can substitute, (P.S: dont put the value of pi as it will get cancelled)

162 pi = pi* (3)^2* h

162= 9h

∴h= 162/9= 18

∴ height is 18 units.

Hope it helps. But I am not sure if the answer is correct or not.

Answer:

[tex]v = \pi \: {r}^{2} h \\ where \: v = 162\pi \: \\ r = 3 \\ h = \frac{v}{ {r}^{2} } \\ h = \frac{162}{9} \\ h = 18 units[/tex]

Answer:

x = -9, -3

Step-by-step explanation:

[tex] {x }^{2} + 12x + 27 = 0[/tex]

[tex](x + 3)(x + 9) = 0[/tex]

x = -3, -9

Answer:

-3 and -9

Step-by-step explanation:

Standard quaratic form: a² + bx + c = 0

x² + 12x + 27 = 0

find 2 numbers that multiply to 27 (the c-value), but add to 12(the b-value);

The numbers will be 9 and 3, since;

9 x 3 = 27

9 + 3 = 12

Now we can put these numbers in the standard factor form: (x + p) (x + q);

(x + 9) (x + 3) = 0

Now we can set each part equal to 0 and solve;

x + 9 = 0  => x = -9

x + 3 = 0  => x = -3

So the roots are;

-3 and -9

Hope this helps!

Answer:

a. 90

b. 40

c. 55

d. 6

e. 72

Step-by-step explanation:

a: This is a rectangle so all the full corners are 90 degrees. ABC is a corner angle.

b: 1 and 3 are the congruent angles so 3 has the same measure as 1.

C: 1 is a part of the corner, which adds up to 90 degrees. That means angle 2 and angle 1 should add up to 90. They say m<1= 35, so 90-35=55.

d. In a rectangle, the interesecting lines have the same length. AC is 12, so then DB is 12. However, DE is halfway. Half of 12=6.

e. This one has a few steps. Angle 1 is 36, and angle 2 is the other part to the 90 degree corner. 90-36= 54. That gives us angle 2. We know all angles in a triangle add up to 180 degrees. The angle across from angle 2 in the same triangle is the same value, so that is also 54. To find angle 5, it must add up to 180 degrees. 54+54+x=180, in other words. 54+54=108. 180-108=72.

Answer:

I do not understand either

Answer:

2,799 square cm

Step-by-step explanation:

Volume of cone: (1/3)π(9^2)(40)=1,080π

Volume of cylinder: π(3^2)(21)=189π

1,080π - 189π = 891π = 2799.2 square cm

Answer:

3.  [tex]\dfrac{4}{3 \pi}[/tex]

Step-by-step explanation:

Volume of a cone:

[tex]V=\dfrac13\pi r^2h[/tex]

(where r is the radius and h is the height)

Given:

[tex]\implies r=\dfrac14h[/tex]

Therefore, substitute [tex]r=\frac14h[/tex] into the volume formula to find the volume of the cone in terms of h:

[tex]\implies V=\dfrac13\pi \left(\dfrac14h\right)^2h[/tex]

[tex]\implies V=\dfrac{1}{48}\pi h^3[/tex]

Differentiate with respect to h:

[tex]\implies \dfrac{dV}{dh}=3 \cdot \dfrac{1}{48} \pi h^2=\dfrac{\pi h^2}{16}[/tex]

Volume is increasing at a constant rate of 3cm/s:

[tex]\implies \dfrac{dV}{dt}=3[/tex]

Use the chain rule to find [tex]\dfrac{dh}{dt}[/tex]

[tex]\implies \dfrac{dh}{dt}=\dfrac{dV}{dt}\times\dfrac{dh}{dV}[/tex]

[tex]\implies \dfrac{dh}{dt}=3\times\dfrac{16}{\pi h^2}[/tex]

[tex]\implies \dfrac{dh}{dt}=\dfrac{48}{\pi h^2}[/tex]

When h = 6:

[tex]\implies \dfrac{dh}{dt}=\dfrac{48}{\pi \cdot 6^2}=\dfrac{4}{3 \pi}[/tex]

Answer:

I would say its B)13.50

Step-by-step explanation:

I say this because he has to buy a ticket for each person continuously so thats why I say this is the constant term added to/ subtracted from the variable term.

Hope this helped! :)

[tex]~~~~~\pi r^2 = 513\\\\ \implies r = \sqrt{\dfrac{513}{\pi}}\\\\ \implies r= \sqrt{\dfrac{513}{3.14}}\\\\\implies r=12.78~ \text cm.}\\\\\text{Hence the radius is 12.78 cm.}[/tex]

Answer:

Step-by-step explanation:

Area of circle = πr²

[tex]\sf \boxed{r =\sqrt{ \dfrac{Area}{3.14}}}[/tex]

[tex]\sf r =\sqrt{\dfrac{513}{3.14}}\\\\r = \sqrt{163.38}\\\\r = 12.78 \ cm[/tex]

Answer:

15.4

Step-by-step explanation:

[tex]\frac{u}{4}[/tex] = tan51.3° ⇒ u = 4tan51.3° ≈ 5

[tex]\frac{4}{v}[/tex] = cos51.3° ⇒ v = [tex]\frac{4}{cos51.3}[/tex] ≈ 6.4

P ≈ 4 + 5 + 6.4 = 15.4

The perimeter of the triangle is 18.56.

The perimeter of the triangle is addition of all three sides.

Given:

The sides of angle is 4, u and v.

The angle of triangle is 51.3 degree.

For finding the value of u and v.

               [tex]tan\theta=\frac{opposite}{Adjacent}[/tex]

tan 51.3 = u/4

1.682 =u/4

u = 6.72

             [tex]cos\theta=\frac{adjacent}{hypotenuse}[/tex]

cos 51.3 = 4/v

0.51 = 4/v

v = 7.84

Perimeter = u + v + 4

                 = 6.72 + 7.84 + 4

                 = 18.56.

Therefore, the perimeter of this triangle is 18.56.

Learn more about the perimeter of the triangle here:

https://brainly.com/question/24197135

#SPJ2

Answer:D)6

Step-by-step explanation:

Step-by-step explanation:

125°/360°×π×15²

=245.44cm²

Answer:

8in³

Step-by-step explanation:

Volume is given as the product of surface area and height.

V=Ah

Where h is height and A is surface area. Here, the surface area is given 1 square inches and the height is 8 inches then the volume will be given as

V=1*8=8 cubic inches

Therefore, the volume of the bird feeder is equal to 8 cubic inches

In the survey on students, the probability that the student prefers to read using an electronic device is 0.46 or 46%.

Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.

A survey asked students whether they preferred to read on paper (P) or using electronic devices (E).

Based on the survey, if a junior or senior is selected at random. Here,

Thus, the probability that the student prefers to read using an electronic device is,

[tex]P=\dfrac{110}{240}\\P=0.46[/tex]

Thus, in the survey on students, the probability that the student prefers to read using an electronic device is 0.46 or 46%.

Learn more about the probability here;

https://brainly.com/question/24756209

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Answer:

25 units squared

Step-by-step explanation:

Area is length times width. The table is in the shape of a square, so 5*5 = 25 units squared.

Answer:

62%

Step-by-step explanation:

10 000 ÷ 100 = 100

620 ÷ 100

= 62%

Answer:

60 inches

Step-by-step explanation:

In diagram A, the perimeter (outer edge) is made of 16 sides of the boxes.

48/16=3, so each side is 3 inches.

In diagram B, the perimeter is made of 20 sides.

20x3=60

Answer:

781.54

Step-by-step explanation:

240+1180= 1420

11580-1420 = 10160

10160÷13 ~=~ 781.54

PLACE as brainliest

Answer:

9 first class tickets

4 coach tickets

Step-by-step explanation:

Let x = number of first class tickets bought

Let y = number of coach tickets bought

Given:

⇒ x + y = 13

Given:

⇒ 1180x + 240y = 11580

Rewrite first equation to make y the subject:

⇒ y = 13 - x

Substitute this into the second equation and solve for x:

⇒ 240(13 - x) + 1180x = 11580

⇒ 3120 - 240x + 1180x = 11580

⇒ 940x = 8460

⇒ x = 9

Therefore, 9 first class tickets were bought.

To find the number of coach tickets bought, simply substitute the found value of x into equation 1 and solve for y:

⇒ 9 + y = 13

⇒ y = 4

Therefore, 4 coach tickets were bought.

Answer:

$630 Per Month

Step-by-step explanation:

$22,500-$10,000=$12,500-$4,400=$8,100-$1,800=$6,300/10Months

=$630