David is building a wooden
bench. He has 2 feet of lumber in
hie garage and buys 8. feet of
lumber at the store. How many
total feet of lumber
does he now have?

Answer:

B = 11; C = -8

Step-by-step explanation:

When simplified I get 10x^3 + 11x^2 - 8x - 3

Answer:

11.47

Step-by-step explanation:

Use SohCahToa. In this problem, you are given the hypotenuse and you are trying to solve for the adjacent side so it will be cosine. (cosine = [tex]\frac{adjacent}{hypotenuse}[/tex])

1. set up the equation

cos55 = [tex]\frac{x}{20}[/tex]

2. Multiply both sides by 20 to solve for x

20 · cos55 = 11.47

Answer:

Solution,

From the figure,

[tex]cos \: 55 = \frac{PQ}{PR} [/tex]

[tex]cos \: 55 = \frac{PQ}{20} [/tex]

[tex]PQ = 20 \: cos \: 55[/tex]

[tex]PQ= 11.472[/tex]

[tex]PQ= 11 .47[/tex]

Hope this helps...

Good luck on your assignment...

Answer:

Option B.

Step-by-step explanation:

Scale factor of the image = [tex]\frac{\text{One side of the triangle FED}}{\text{Corresponding side of the triangleABC}}[/tex]

                                          = [tex]\frac{\text{DF}}{\text{AC}}[/tex]

                                          = [tex]\frac{3}{6}[/tex]

                                          = [tex]\frac{1}{2}[/tex]

Coordinates of point C → (-2, 2)

Coordinates of the corresponding point C' after dilation with a scale factor [tex]\frac{1}{2}[/tex],

C(-2, 2) → C'(-1, 1)

Coordinates of point C' after reflection across y-axis,

C'(-1, 1) → C"(1, 1)

Followed by the translation of 2 units downwards,

C"(1, 1) → D[1, (1 - 2)]

          → D(1, -1)

From the graph we get the same coordinates of point D as (1, -1).

Therefore, ΔABC was dilated by a scale factor of [tex]\frac{1}{2}[/tex], reflected across the y-axis and moved through the translation of 2 units downwards.

The root of a number is equivalent of being raised to its inverT

11 cubic root is = 1/11

X = 1/11

Answer:

The result is 150 + 1.5d

Step-by-step explanation:

We want to translate the wordings into algebraic expression.

Firstly, we increase 120 by d%

d% = d/100

So increasing 120 by d % means;

120 + (d/100 * 120)

= 120 + 1.2d

Then increase this by 25%

= (120 + 1.2d) + 25/100(120 + 1.2d)

= 120 + 1.2d + (120+1.2d)/4

= 120 + 1.2d + 30 + 0.3d

= 120 + 30 + 1.2d + 0.3d

= 150 + 1.5d

Answer:

172

Step-by-step explanation:

just subtract 227 - 55 and get 172

Answer:

46 yards

Step-by-step explanation:

let x = number of lawns mowed per month

let y = number of full landscape maintenance service

y = 2x

100x + 130y = 8,280

100x + 260x = 8,280

360x = 8,280

x = 8,280 / 360 = 23

Melissa provides only lawn service to 23 yards and full landscape maintenance service to 46 yards.

Answer:

Answer:

Explained below.

Step-by-step explanation:

The data provided is as follows:

S = {31.5, 36.0, 37.8, 38.5, 40.1, 42.2, 34.2, 36.2, 38.1, 38.7, 40.6, 42.5, 34.7. 37.3, 38.2, 39.5, 41.4, 43.4, 35.6, 37.6, 38.4, 39.6, 41.7, 49.3}

Compute the mean and standard deviation as follows:

[tex]\mu=\frac{1}{n}\sum X=\frac{1}{24}\times [31.5+36.0+37.8+...+49.3]=38.88\\\\\sigma=\sqrt{\frac{1}{n-1}\sum (X-\mu)^{2}}=\sqrt{\frac{1}{24-1}\times 299.639584}=3.61[/tex]

(a)

Compute the​ z-score corresponding to the individual who obtained 32.3 miles per gallon as follows:

[tex]z=\frac{X-\mu}{\sigma}[/tex]

  [tex]=\frac{32.3-38.88}{3.61}\\\\=-1.823[/tex]

Thus, the z-score corresponding to the individual who obtained 32.3 miles per gallon is -1.823.

(b)

The data set arranged in ascending order is:

S = {31.5 , 34.2 , 34.7 , 35.6 , 36 .0, 36.2 , 37.3 , 37.6 , 37.8 , 38.1 , 38.2 , 38.4 , 38.5 , 38.7 , 39.5 , 39.6 , 40.1 , 40.6 , 41.4 , 41.7 , 42.2 , 42.5 , 43.4 , 49.3}

The set consists of 24 values.

The first and third quartile are:

[tex]Q_{1}=[\frac{n+1}{4}]^{th}\ obs.=[\frac{24+1}{4}]^{th}\ obs.=12.5^{th}\ obs.=\frac{36.2+ 37.3}{2}=36.75\\\\Q_{3}=[\frac{3(n+1)}{4}]^{th}\ obs.=[\frac{3(24+1)}{4}]^{th}\ obs.=18.75^{th}\ obs.=\frac{40.6+41.4}{2}=41[/tex]

Thus, the value of Q₁ is 36.75 and Q₃ = 41.

(c)

Compute the inter-quartile​ range as follows:

[tex]IQR=Q_{3}-Q_{1}=41-36.75=4.25[/tex]

The inter-quartile range is 4.25.

The inter-quartile range is the amount of data that is contained within the middle 50% of a set of observations, when arranged in order. It is the distance between the first and third quartile.

(d)

Compute the values of lower and upper fences as follows:

[tex]\text{Lower fence}=Q_{1}-1.5\times IQR=36.75-(1.5\times 4.25)=30.375\approx 30.38\\\\\text{Upper fence}=Q_{3}+1.5\times IQR=41+(1.5\times 4.25)=47.375\approx 47.38[/tex]

Any values that are less than the lower fence or more than the upper fence are considered as outlier.

Consider the arranged data set.

Only one value is more than the upper fence, 47.38, i.e. 49.3.

So, yes there is one outlier, i.e. 49.3.

Answer:

The answer to this would most likely be the first option: A. 1,771

Step-by-step explanation:

I've seen the question before.

The volume of the right triangular prism is 1771  cubic meters

The volume of a right triangular prism can be estimated by using the formula:

[tex]\mathbf{V = \dfrac{1}{2} \times b \times h \times l}[/tex]

where;

[tex]\mathbf{V = \dfrac{1}{2} \times 14 \times 23 \times 11}[/tex]

V = 1771 m³

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Answer:

102m^2

Step-by-step explanation:

2x3x17=102m^2

can u pls mark brainliest :)

Answer:

182 m²

Step-by-step explanation:

The formula for surface area of a rectangular prism is;

Surface Area = 2(wl) + 2(lh) + 2(hw) where w is the width, l is the length and h is the height.

SA = 2(2 * 17)m² + 2(17 * 3)m² + 2(3 * 2)m²

     = 2(34)m² + 2(51)m² + 2(6)m²

     = 68 m²  + 102 m² + 12 m²

     = 182 m²

Answer:

LSA = 592cm^2.

Step-by-step explanation:

Well LSA is the SA but without the base so the blue square does not count.

So we have to find the area of the triangle which is b*h/2.

So 18.5*16 / 2 is 148.

And since there is 4 triangles with the same dimensions we do 148*4, 592cm^2.

Answer:

40

Step-by-step explanation:

Set up a ratio.  Solve for x.

[tex]\frac{3}{5}=\frac{24}{x} \\3x = 120\\x=40[/tex]

Reeta is 40 years old.

Answer:

4 ( -x^3 + 2x - x)

Step-by-step explanation:

refer the attachment

Answer:

36PI

113.04

Step-by-step explanation:

4/3*PI*R^3=V

4/3*PI*27=V

36*PI=V

113.04

BRAINLIEST PLS

              -ZYLYNN JADE

Answer:

113.10 (to the nearest hundredth)

Step-by-step explanation:

just google volume of a sphere

Answer:

No.

Step-by-step explanation:

Order of Operations using BPEMDAS:

14 + 18/2(18)

14 + 9(18)

14 + 162

176

Answer:

3/2

Step-by-step explanation:

Using two points we can find the slope of a line

(0,1) and  (2,4)

The slope is given by

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

   = (4-1)/(2-0)

   = 3/2

Answer:

False

Step-by-step explanation:

rise is the vertical change between any two points on a line.

Answer:

A. 13.

Step-by-step explanation:

g(x) = 4x + 1

g(3) = 4 * 3 + 1 = 12 + 1 = 13

A. 13 is your answer.

Hope this helps!

Answer:

13

Step-by-step explanation:

g(x) = 4x + 1

Let x=3

g(3) = 4*3+1

      = 12+1

    = 13

Answer:

0.05 in per min.

Step-by-step explanation:

We simply divide 6 by 120 to find our unit rate:

6 in/120 min = 1/20 = 0.05 in/1 min

Answer:

1/20 Inch per. Minute

Step-by-step explanation:

6/120 -->

6/1 x 1/120 --> cancel out 6 and 120 for 1 and 20 respectively

1/1 x 1/20 --> 1 x 1/20 => 1/20

Hope this helps!

Answer:

adult = £7 and child = £2

Step-by-step explanation:

let a represent adult ticket and c child ticket, then

2a + 3c = 20 → (1)

a + 4c = 15 → (2)

Multiply (2) by - 2 and add to (1) to eliminate a

- 2a - 8c = - 30 → (3)

Add (1) and (3) term by term

- 5c = - 10 ( divide both sides by - 5 )

c = 2

Substitute c = 2 into either of the 2 equations and solve for a

Substituting into (1)

2a + 3(2) = 20

2a + 6 = 20 ( subtract 6 from both sides )

2a = 14 ( divide both sides by 2 )

a = 7

Cost of adult ticket is £7 and child ticket is £2

Answer:

x = 4, y = 2√21, z = 10

Step-by-step explanation:

Since all sides of a rhombus are congruent, z = SR = 10. Since the diagonals of a rhombus bisect each other, x = PO = 4. Using Pythagorean Theorem (look at ΔPSO, we know that PS = 10 and PO = 4), y = 2√21.

Answer:

A

Step-by-step explanation:

The perimeter is more since the shape gained many new sides but the area is less because the rectangle lost a little square

Answer:

Option A

Step-by-step explanation:

=> The perimeter is more because there are more sides in figure 2 than in figure 1 and they are more in length too.

=> The area is less since Figure 2 is overlapping which decreases its area than the area of Figure 1 where nothing overlaps.

A fourth-degree polynomial in standard form is :

       In this example it would give:

      −6[tex]x^{4}[/tex]+3[tex]x^{2}[/tex]+4x +2

The closure property as it relates to polynomials are :

       (2x2 + 3x + 4) + (x2 - 5x - 3)

        3x2 - 2x + 1.

Therefore, the addition and subtraction of polynomials is closed.

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Answer:

Hello!

~~~~~~~~~~~~~~~~~

Pollution needs to be dramatically reduced because it is destroying the environment we live in, contaminating our food and water, causing diseases and cancers in humans and wildlife, and destroying the air we breathe and the atmosphere that protects us from harmful ultra-violet radiation.

Step-by-step explanation: This the wrong subject but here is the answer.

Hope this helped you! Brainliest would be nice!

Answer:

Answer:

Step-by-step explanation:

Due to pollution many diseases can occur to u...... So we should stop using fuel in vehicles and instead use compressed natural gas (CNG)..... And before sewage water is released into oceans hey should be treated with chemicals...... That's all...

Hope this answer helps.....

Answer:

Probability that the two socks picked by Natalie are of the same colours = (17/32) = 0.53125

Step-by-step explanation:

Complete Question

Natalie has 8 socks in a drawer.

5 of the socks are black.

3 of the socks are white.

Natalie takes out a sock at random, writes down its colour and puts it back into

the drawer. Then Natalie takes out a second sock, at random, and writes down its colour.

Work out the probability that the two socks are of the same colour.​

Solution

This is a probability that involves replacement.

Probability of an event is given as the number of elements in the event divided by the total number of elements in the sample space.

If the event that a black socks is picked = P(B)

Then, the event that a white socks is picked = P(W)

P(B) = n(B) ÷ n(S)

n(B) = 5

n(S) = 8

P(B) = (5/8)

P(W) = n(W) ÷ n(S) = (3/8)

Probability that the two socks picked by Natalie are of the same colours = (Probability that the two socks picked are black) + (Probability that the two socks picked by Natalie are white)

Probability that the two socks picked are black = (5/8) × (5/8) (since the socks are picked and replaced, the probability stays the same)

= (25/64)

Probability that the two socks picked by Natalie are white = (3/8) × (3/8) = (9/64)

Probability that the two socks picked by Natalie are of the same colours

= (25/64) + (9/64)

= (34/64)

= (17/32) = 0.53125

Hope this Helps!!!

Answer:

16 unidades preparan simultáneamente 1200 empanadas por día.

Step-by-step explanation:

Si cada fuente tiene una capacidad de 75 empanadas por horneada y que la mayor cantidad posible ocurre cuando el volumen de producción se cocina simultáneamente, entonces el total de fuentes es la cantidad total de producción dividida por la capacidad de empanadas por fuente. Es decir:

[tex]x = \frac{1200\,emp}{75\,\frac{emp}{und} }[/tex]

[tex]x = 16\,unidades[/tex]

16 unidades preparan simultáneamente 1200 empanadas por día.

Answer:

achievements

Step-by-step explanation:

Answer:

a = 138

Step-by-step explanation:

Notice that from the figure, we can see that ∠MOQ and ∠PON are vertical angles, which means that by definition, they're congruent in measure.

∠MOQ = ∠MOR + ∠ROQ = 90 + 48 = 138°

So, this means that ∠PON is also equal to 138, which means a = 138.

Thus, the answer is a = 138.

~ an aesthetics lover

Answer: A

Step-by-step explanation:

Since she invested $400 in the beginning if the 1st year and we are asked to find the balance at the beginning of the third year, she earns interest only for the first two years. So, the formula will be

Amount = 400 (1 + 0.05) ^3-1

To find the balance in Josie's account at the beginning of the the third year we have to use A(3)=[tex]400*(1+0.05)^{3-1}[/tex]

It is the interest calculated on the initial principal amount and the accumulated interest. The formula to calculate the sum after compound interest is

Sum= [tex]P(1+r/m)^{tm}[/tex] where P=principal, r= rate of interest, m= number of times compounded in a year, t=time

At the beginning of year 1, Josie invests $400 at an annual compound interest at the rate of 5%,then the amount at the beginning of year 3 is calculated as:

The amount in beginning of 1 year=$400

The amount at the end of the year 1=400+400*0.05=400(1+0.05)

The amount at the end of year 2=400(1+0.05)+400(1+0.05)*0.05

=[tex]400(1+0.05)^{2}[/tex]

=[tex]400(1+0.05)^{3-1}[/tex]

Hence the option A is correct which is to be used to calculate the amount in Josie's account at the beginning of year 3.

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Answer:

120.7

Step-by-step explanation:

The formula for finding the area of a regular octagon is: A = 2(1+[tex]\sqrt{2}[/tex])[tex]a^{2}[/tex].

Using the formula I got 120.7(rounded).

The area of the regular octagon with a side length of 5 cm is approximately 120.7cm².

We have,

To find the area of a regular octagon with a side length of 5 cm, you can use the following formula:

Area = 2 * (1 + √2) * (Side Length)²

Plugging in the values:

Area = 2 * (1 + √2) * (5 cm)² ≈ 120.7 cm²

Therefore,

The area of the regular octagon with a side length of 5 cm is approximately 120.7cm².

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