Find the surface area of the composite figure.
2 cm 6 cm
14 cm
8 cm
8 cm
4 cm
6 cm
2 cm

Answer:

x= 36 and y= 9

Step-by-step explanation:

because I said so. jk math

Answer:

x-intercept: 36

y-intercept: 9

Step-by-step explanation:

Hi there!

What we need to know:

1) Determine the x-intercept

[tex]x + 4y = 36[/tex]

Plug in 0 for y

[tex]x + 4(0) = 36\\x=36[/tex]

Therefore, the x-intercept is 36.

2) Determine the y-intercept

[tex]x + 4y = 36[/tex]

Plug in 0 for x

[tex]0 + 4y = 36\\4y = 36[/tex]

Divide both sides by 4

[tex]y=9[/tex]

Therefore, the y-intercept is 9.

I hope this helps!

Answer:

The difference in their thickness is: [tex]2\frac{1}{2}[/tex]

Step-by-step explanation:

Given

The attached plot which represents thickness of books

Required

Difference in the thickness of Amalie's (A) and Raj's (R)

From the question, we understand that:

[tex]A \to[/tex] Thickest

[tex]R \to[/tex] One of the least

This implies that:

[tex]A = 4[/tex]

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

The difference (d) is:

[tex]d = 4 - 1\frac{1}{2}[/tex]

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

Answer:

2 1/2

Step-by-step explanation:

Answer:

H  0

​ :μ=18.2  ∘  C

H  a

 :μ>18.2  ∘  C

​

Step-by-step explanation:

Khan............... The null hypothesis has a statement of equality, and the direction of alternative hypothesis (>)(>)left parenthesis, is greater than, right parenthesis matches her belief that last year was warmer.

The three conditions for hypothesis testing are approximately met, and the null hypothesis is that the population mean daily high temperature in Buenos Aires is 18.2∘C.

Hypothesis Testing is a type of statistical analysis in which you put your assumptions about a population parameter to the test. It is used to estimate the relationship between 2 statistical variables.

here, we have,

The three conditions for hypothesis testing are approximately met based on the information given.

Null hypothesis (H0) is that the population mean daily high temperature in Buenos Aires is 18.2∘C. Alternative hypothesis (Ha) is that the population mean daily high temperature in Buenos Aires is greater.

The test statistic is calculated as (sample mean - population mean) / (sample standard deviation / sqrt(sample size)).

The p-value is the probability of obtaining a test statistic as extreme or more extreme than the observed test statistic, assuming the null hypothesis is true. It can be calculated using a t-distribution with degrees of freedom equal to the sample size minus one.

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Answer:

751.8

Step-by-step explanation:

I think the answer is y= -6x + 1

Answer:

1: by using this equation x*y=96, or just list out 96's factors

2: 3 by 32

3: no, unless you want to use decimals.

4: finding the surface area  

Answer:

2

Step-by-step explanation:

To solve this problem you must apply the proccedure shown below:

1. You have the following multiplication given in the problem above:

(x/3)(6/x)

2. Multiply the numerators and the denominators:

(x/3)(6/x) = 6x/3x

3. You can simplify the expression. Then, you have:

6x/3x = 2

Answer:

2

Step-by-step explanation:

1) simplify x

x/x = 1

2) simplify 6 with 3

6/3 = 2

3) multiply the two numbers

2*1 = 2

Answer:

Perimeter = 36.84 ft

Area = = 64.26 ft²

Step-by-step explanation:

✔️Perimeter of the figure = the length of the surrounding border the rectangle + surrounding border of circle

Length for surrounding border of the rectangle = 3 + 3 + 3 + 3 + 3 + 3 = 18 ft

Surrounding border of a circle = circumference of a full circle (two half circle makes 1 full circle)

Circumference of the circle = πd

diameter (d) = 12 - (3 + 3) = 6 ft

π = 3.14

Circumference = 3.14*6

= 18.84 ft

✅Perimeter = 18 + 18.84 = 36.84 ft

✔️Area = area if the rectangle + area of the full circle

= L*W + πr²

L = 12 ft

W = 3 ft

π = 3.14

r = ½(6) = 3 ft

Plug in the values

Area = 12*3 + 3.14*3²

= 36 + 28.26

= 64.26 ft²

Answer:

B. π/3

Step-by-step explanation:

I calculated it logically

Answer:

B: pi/3

Step-by-step explanation:

The conversion is:

degrees° *

60pi/180= pi/3

add both equations as 3x^2-2x+4-[5x^2+6x-8] then we distribute the subtraction sign to g(x)—->-5x^2-6x+8. Now, we add f(x)+g(x) and group like terms to simplify—> as 3x^2-5x^2-2x-6x+4+8=-2x^2+8x+12

Answer: -2x^2-8x+12

Answer:

10

Step-by-step explanation:

LN = 4 + x - 8 = x - 4

LS = 3 + x - 5 = x - 2

By intersecting secants theorem:

[tex]LM\times LN = LK\times LS \\ \\ 4(x - 4) = 3(x - 2) \\ \\ 4x - 16 = 3x - 6 \\ \\ 4x - 3x = 16 - 6 \\ \\ x = 10[/tex]

Answer:

[tex]\sigma = 0.831[/tex] --- Standard deviation

[tex]Mode = 10[/tex]

Step-by-step explanation:

Given

[tex]x = 9,8,10,9,8,10,9,10,8,10[/tex]

Solving (a): The population standard deviation

First, we calculate the mean

[tex]\bar x = \frac{\sum x}{n}[/tex]

So, we have:

[tex]\bar x = \frac{9+8+10+9+8+10+9+10+8+10}{10}[/tex]

[tex]\bar x = \frac{91}{10}[/tex]

[tex]\bar x = 9.1[/tex]

The standard deviation is:

[tex]\sigma = \sqrt{\frac{1}{n}\sum (x - \bar x)^2}[/tex]

So, we have:

[tex]\sigma = \sqrt{\frac{1}{10}*[(9 - 9.1)^2+.................+(10- 9.1)^2]}[/tex]

[tex]\sigma = \sqrt{\frac{1}{10}*6.9}[/tex]

[tex]\sigma = \sqrt{0.69}[/tex]

[tex]\sigma = 0.831[/tex]

The mode is:

[tex]Mode = 10[/tex]

10 has the highest frequency of 4

Answer:

D

Step-by-step explanation:

D

Answer:

267.75

Step-by-step explanation:

i think this because that what I got by multiplying 3 1/2 x 9 x 8 1/2

Answer: 160

Step-by-step explanation:

Based on the information given in the question, let the total reviews left for the product be represented by x.

Therefore, 65% of x = 104

65% × x = 104

0.65 × x = 104

0.65x = 104

x = 104/0.65

x = 160

Therefore, 160 reviews were left for the product.

Answer:

4

Step-by-step explanation:

Answer:

16 blocks

Step-by-step explanation:

equation: 0.8x = 12.8

if each block is 0.8oz and the total weight is 12.8oz then divide 12.8 by 0.8 and get 16! in other words, 0.8oz goes into 12.8oz 16 times, meaning there are 16 blocks that each weigh 0.8oz

Answer:

15.9454=15.9

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

39+1-24/6 =

we gotta follow pemdas so we divide 24 by 6 first

39+1-4=

then its just adding and subtracting so just go left to right

40-4=

36

Answer:

The answer for this question is 49 cubic inches

Answer:

Equidistant

Step-by-step explanation:

When we have a point lying on the angle bisector, it stands at an equal distance from the two sides of the angle

The purpose of the angle bisector is to divide the angle into two different equal parts

So, for a point to lie on this, it means it of the same distance from the two points of the angle

Answer:

Lateral area = 2.pi.r.h = 2 x pi x 2 x 3 = 12 pi

Total area = lateral area + pi. r^2 . 2 = 20 pi

Volume = pi . r^2 . 2 . h = 24 pi

Answer:

B. 4/8 = 5/10 = 1/2

Step-by-step explanation:

I calculated it logically

Answer:

B I think plz give brainlest If correct

Step-by-step explanation:

Answer: (b)

Step-by-step explanation:

Given

The function is given as

[tex]f(x)=\dfrac{x^2-12x+20}{x-2}[/tex]

Solving the function

[tex]f(x)=\dfrac{x^2-2x-10x+20}{x-2}\\\\f(x)=\dfrac{(x-2)(x-10)}{(x-2)}\\\\f(x)=x-10[/tex]

for [tex]x=2[/tex]

[tex]f(2)=2-10\\f(2)=-8[/tex]

The function is continuous at [tex]x=2[/tex] because [tex]\lim_{x \to 2} f(x)[/tex] exists.

If the limit exists at a point, then the function is continuous.  

Answer:

on edge its fs not b or c

Step-by-step explanation:

Answer:

2280 the volume

Step-by-step explanation:

So one box = 480

So then what about 6 boxes?

you do 480 x 6 =   2880

480+ 480+ 480+ 480+480+480= 2880

Part (a)

The raw score is x = 25. The mean and standard deviation are mu = 45 and sigma = 13.8 respectively.

The z score is computed with the formula below

z = (x-mu)/sigma

z = (25-45)/13.8

z = -1.449275 approximately

z = -1.45 is the final answer

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

Part (b)

We want the z score to be larger than 2. So z > 2.

This is the same as wanting the expression (x-mu)/sigma to be larger than 2

(x-mu)/sigma > 2

(x-45)/13.8 > 2

x-45 > 2*13.8

x-45 > 27.6

x > 27.6+45

x > 72.6

If a customer's age is greater than 72.6 years, then this means they have a z score greater than 2. We can say they are more than 2 standard deviations above the mean.

If you need a whole number, then I'd round up to 73. Or you could pick any age larger than this.

Answer:

0.95

Step-by-step explanation:

tan35° = x/2

solve for x

x = 2tan35°

x = 0.947629

round to nearest hundredth

x = 0.95

Answer:

35.94 lb

Step-by-step explanation:

The net mass flow rate dm/dt = flow rate in - flow rate out

mass flow rate in = concentration in × volume flow rate in = 0.4 lb/gallon of salt × 5 gal/min = 2 lb/min

Let m(t) be the mass present at time, t.

So, the concentration at time, t = m(t)/volume of tank = m(t)/100

mass flow rate out = concentration out × volume flow rate out = m(t)/100 lb/gal× 5 gal/min = m(t)/20 lb/min

So, dm/dt = 2 lb/min - m(t)/20 lb/min

So, dm/dt = 2 - m(t)/20

dm/dt = [40 - m(t)]/20

separating the variables, we have

dm/[40 - m(t)] = dt/20

integrating, we have

∫dm/[40 - m(t)] = ∫dt/20

-1/-1 ×∫dm/[40 - m(t)] = ∫dt/20

1/-1 ×∫-dm/[40 - m(t)] = ∫dt/20

1/-1 ×㏑[40 - m(t)] = t/20 + C

-㏑[40 - m(t)] = t/20 + C

㏑[40 - m(t)] = -t/20 - C

taking exponents of both sides, we have

[tex]40 - m(t) = e^({\frac{-t}{20} - C}) \\40 - m(t) = e^{\frac{-t}{20}}e^{-C} \\40 - m(t) = Ae^{\frac{-t}{20}} (A = e^{-C})\\m(t) = 40 - Ae^{\frac{-t}{20}}[/tex]

when t = 0 m(0) = 10 lb

So

[tex]m(t) = 40 - Ae^{\frac{-t}{20}}\\m(0) = 40 - Ae^{\frac{-0}{20}}\\10 = 40 - Ae^{0}\\10 = 40 - A\\A = 40 - 10 \\A = 30[/tex]

So,

[tex]m(t) = 40 - 30e^{\frac{-t}{20}}[/tex]

when t = 40 minutes, m(40) =

[tex]m(40) = 40 - 30e^{\frac{-40}{20}}\\m(40) = 40 - 30e^{-2}\\m(40) = 40 - 30 X 0.1353\\m(40) = 40 - 4.06\\m(40) = 35.94[/tex]

So, at the end of 40 minutes, the amount of salt in the tank is 35.94 lb

Answer: 512

Step-by-step explanation:

Hello, I hope the answer is correct if not let me know and i will work step by step on it with you. Your welcome and Happy to help.

The surface area of the design is 384 inches².

The area of a three dimensional object on it's outer surface is called the surface area of the object.

The given design is a cube.

All the sides are of the length 8 inches.

The formula to find the surface area of a cube is,

Surface area = 6a², where "a" is the length of a side of the cube.

Given, a = 8 inches

Surface area of the design = 6 × 8²

                                             = 6 × 64

                                             = 384 inches²

Hence the given design has the surface area of 384 inches².

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