Find the surface area and volume for the following composite figure.
​

Answer:

AX = 14

Step-by-step explanation:

The medians of a triangle intersect at its centroid.

The position of the centroid X from the vertex A is

AX = [tex]\frac{2}{3}[/tex] AL = [tex]\frac{2}{3}[/tex] × 21 = 14

Answer:

[tex]24x+6[/tex]

Step-by-step explanation:

We know that the perimeter of a rectangle's formula is [tex]2l + 2w = p[/tex], where l is the length and w is the width - p is the perimeter. We know the length and width, so we can substitute into the equation.

[tex](2\cdot(10x-3)) + (2\cdot(2x+6))\\\\(20x-6) + (4x+12)[/tex]

We can now combine like terms to get [tex]24x + 6[/tex].

Hope this helped!

Answer:

[tex]\large \boxed{{m= \frac{3}{4} }}[/tex]

Step-by-step explanation:

Parralel lines have the same slope.

The slope will be [tex]\frac{3}{4}[/tex]

Answer: 0.0228 .

Step-by-step explanation:

Given, IQ scores are approximately normally distributed with a mean of 100 and standard deviation of 15

Let X denotes the IQ score.

Then, the proportion of people with IQs above 130 is

[tex]P(X>130)=P(\dfrac{X-mean}{ standard\ deviation}>\dfrac{130-100}{15})\\\\= P(Z>2)\ \ \ \[Z=\dfrac{X-mean}{ standard\ deviation}][/tex]

[tex]=1-P(Z<2)\ \ \ [P(Z>z)=1-P(Z<z)]\\\\=1-0.9772\ [\text{By z table}]\\\\=0.0228[/tex]

Hence, the proportion of people with IQs above 130 is 0.0228 .

Answer:

5/24

Step-by-step explanation:

1 hour = 60 minutes

2 hours = 60*2 = 120 minutes

then:

25 minutes / 120 minutes

25/5= 5

120/5 = 24

the simpliest form is:

5/24

The simpliest form of 25 minutes as a fraction of 2 hours is 5/24

A fraction represents a part of a number or any number of equal parts.

Multiplication is the mathematical operation that is used to determine the product of two or more numbers.

We need to express 25 minutes as a fraction of 2 hours in its simplest form.

Since we know that 1 hour = 60 minutes

2 hours = 60 x 2 = 120 minutes

then:

25 minutes / 120 minutes

25/5= 5

Thus 120/5 = 24

Hence, The simpliest form of 25 minutes as a fraction of 2 hours is 5/24

Learn more about fraction;

https://brainly.com/question/729654

#SPJ1

Answer:

[tex]\bold{3x+y+20=0}[/tex]

Step-by-step explanation:

Mid point of (-10, 5) and (-5, 0).

Other point (-8, 4).

To find:

Equation of line in standard form that connect the mid point and other point.

Solution:

Mid point formula is given as:

[tex]x = \dfrac{x_1+x_2}{2}\\y = \dfrac{y_1+y_2}{2}[/tex]

[tex]x = \dfrac{-10+-5}{2} = -7.5\\y = \dfrac{5+0}{2} = 2.5[/tex]

Now, the two points are: (-7.5, 2.5) and (-8, 4)

Slope intercept form of line is given as:

[tex]y = mx+c[/tex]

[tex]m=\dfrac{4-2.5}{-8-(-7.5)} = -3[/tex]

So, the equation of line is:

[tex]\Rightarrow y =-3x+c[/tex]

Putting (-8, 4) to find c:

[tex]4=-3\times -8+c\\\Rightarrow c = -20[/tex]

Equation of line:

[tex]\Rightarrow y =-3x-20[/tex]

In standard form:

[tex]\bold{3x+y+20=0}[/tex]

Answer: Complementary

x=58

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

-12 -14

Answer:

27

Step-by-step explanation:

Given

- 3w - 5p ← substitute w = - 4 and p = - 3 into the expression

= - 3(- 4) - 5(- 3 )

= 12 + 15

= 27

Answer:

y= mx +c

Step-by-step explanation:

The point- slope form of an equation is

y= mx +c, where m is the gradient and c is the y-intercept.

You can find the value of m by using the gradient formula.

[tex]gradient = \frac{y1 - y2}{x1 - x2} [/tex]

Then substitute the value of m found into the equation. Next substitute a pair of coordinates the line passes through to find the value of c. Substitute the value of c and you will obtain the point-slope form equation of the line.

Here's an example.

Point-slope form of an equation passing through (1, 2) and (5, 6).

① Finding gradient, m.

[tex]m = \frac{6 - 2}{5 - 1} \\ m = \frac{4}{4} \\ m = 1[/tex]

② Substitute value of m into equation.

y= 1x +c

y= x +c

③ Substitute a pair of coordinates.

when x=1, y=2,

2= 1 +c

c= 2 -1

c= 1

Thus the equation of the line is y= x +1.

You may already know that "y+MX+b" form called the slope-intercept form of the equation of a line. It is the same equation in a different form. The 'b' value called the y intercept is where the line crosses the y- axis

Step-by-step explanation:

Answer:

let cow=x and chickens =y

cows have 4 legs, 4x. chickens have 2 legs, 2y

Answer:

a= 15 cows b= 27 chickens c= none, he is not an animal.

Step-by-step explanation:

cows have four legs

chickens have two

15 cows = 60 legs

27 chickens = 54 legs

60+54 = 114

please make me the brainliest if you find this helpful :)

Answer:

-14°C

Step-by-step explanation:

6 + 8 = 14

So in 24 hour time that would be 2pm

From 6am to 2pm is 8 hours

If the degrees is going down by 2 you would times the 8 by 2 because it is doubled

That = 16

Then you'll minus 16°C from the 2°C

2°C - 16°C

= -14°C

Answer:

Step-by-step explanation:

[tex] \sf{(x - 3)(x + 7)}[/tex]

Use the distributive property to multiply each term of the first binomial by each term of the second binomial.

⇒[tex] \sf{x(x + 7) - 3(x + 7)}[/tex]

⇒[tex] \sf{ {x}^{2} + 7x - 3x - 21}[/tex]

Collect like terms

⇒[tex] \sf{ {x}^{2} + 4x - 21}[/tex]

Hope I helped!

Best regards!!

Answer:

[tex] \boxed{\boxed{\boxed{\red{{x}^{2} + 4x - 21}}}}[/tex]

Step-by-step explanation:

[tex](x - 3)(x + 7) \\ x(x + 7) - 3(x + 7) \\ {x}^{2} + 7x - 3x - 21 \\ {x}^{2} + 4x - 21[/tex]

Answer:

8 dollars

Step-by-step explanation:

f(10)=6

g(6)=8

8 dollars

Answer:

4

Step-by-step explanation:

5ˣ⁺¹ = 5²ˣ⁻³

x+1 = 2x -3

x = 4

Answer:

8(a+2)

Step-by-step explanation:

can i have the brainliest answer

Answer:

9.25b=46.25

Step-by-step explanation:

9.25b=46.25/:9.25

b=5

Richard purchased 5 books for $9.25 each

Answer:

5( 7+n)

Step-by-step explanation:

First find the sum

(7+n)

Then multiply by 5

5( 7+n)

Answer:

[tex]\Huge \boxed{5(n+7)}[/tex]

Step-by-step explanation:

The sum of 7 and n is also adding 7 and n.

[tex]7+n[/tex]

The sum is the result from adding. That result is multiplied by 5.

[tex]5 \times (7+n)[/tex]

[tex]5(n+7)[/tex]

Answer:

5 ^ (1/12)

Step-by-step explanation:

5 ^ 1/3

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

5 ^ 1/4

When we divide exponents with the same base, we subtract the exponents

5 ^ (1/3 -1/4)

Getting a common denominator

5 ^ ( 4/12 - 3/12)

5 ^ (1/12)

Answer:

[tex]\Huge \boxed{5^{\frac{1}{12}}}[/tex]

[tex]\rule[225]{225}{3}[/tex]

Step-by-step explanation:

[tex]\displaystyle \sf \frac{5^{\frac{1}{3}} }{5^{\frac{1}{4}} }[/tex]

When dividing same bases, we subtract the exponents.

[tex]\displaystyle \sf 5^{\frac{1}{3}- \frac{1}{4} }[/tex]

Making exponents have the same denominator.

[tex]\displaystyle \sf 5^{\frac{4}{12}- \frac{3}{12} }[/tex]

Subtracting exponents.

[tex]\displaystyle \sf 5^{\frac{1}{12}}[/tex]

[tex]\rule[225]{225}{3}[/tex]

Answer:

-7°F

Step-by-step explanation:

At first, you might think that the answer is -9 because 9 > 7, right? Actually, the "rules" for numbers are switched when you are dealing with negative numbers. Therefore, -7 > -9 so -7°F is the correct answer.

Answer:

y=72

Step-by-step explanation:

y varies jointly as x and z

y=k*x*z

Where,

k= constant of proportionality

y=144, x=6, z=10

y=k*x*z

144=k*6*10

144=60k

Divide both sides by 60

144/60=k

2 24/60=k

2 6/15=k

2 2/5=k

k=12/5

Find y when x=5 and z=6

y=k*x*z

y=12/5*5*6

=360/5

=72

y=72

Answer: 128

Step-by-step explanation:

Given : Total ingredients =7

When we select any one of ingredient for salad, then total choices for each ingredient = 2 (Yes or No)

So for all 7 ingredients there will be [tex]2\times2\times2\times2\times2\times2\times2=2^7=128[/tex] choices [By fundamental principle of counting]

Hence, there are 128 different salads are possible where two salads are different if they don't include identical ingredients

Answer:

The rational numbers include all the integers, plus all fractions, or terminating decimals and repeating decimals. Every rational number can be written as a fraction a/b, where a and b are integers. If a number is a whole number, for instance, it must also be an integer and a rational.

Step-by-step explanation:

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

Explanation:

Assume the ground is completely flat and level. We have a right triangle with hypotenuse 30, and the horizontal base leg is 18. The vertical leg is unknown, so we'll call it x.

Use the pythagorean theorem to solve for x

a^2+b^2 = c^2

x^2+18^2 = 30^2

x^2 + 324 = 900

x^2 = 900 - 324

x^2 = 576

x = sqrt(576)

x = 24

The height of the tower's floor is 24 feet.

Answer:

43 if yousubtract it

STEP-BY-STEP EXPLANATION

Answer: The correlation between variables must be significant

Step-by-step explanation: In order to make reliable predictions using the equation of a regression model, the correlation Coefficient between the dependent and independent variables must be significant (that is a correlation Coefficient value close to either 1 or - 1). This is because the range of value of the correlation Coefficient is between - 1 to +1 and the closer the correlation Coefficient value is to either of these numbers, depicts the strength of the relationship which exists between them hence, enabling us to make good and accurate predictions which are close to the actual value.

Regression Analysis is a statistical and reliable process for making predictions using the regression model.

The correct option is:

Option B. The correlation between variables must be significant

The regression line can be explained as:

1. The correlation coefficient between the dependent and independent variables must be significant.

2. The correlation coefficient value should be near 1 or -1.

3. Thus, the values closer to - 1 and +1 will depict the strength of the relationship between the coefficient values.

Thus, regression lines help to predict accurate and reliable results that are close to the actual value.

To know more about regression lines, refer to the following link:

https://brainly.com/question/4341286

Answer for the first box = 6000

Answer for the second box = 1.004

Answer for the third box = 720

So the full equation is [tex]C(t) = 6000(1.004)^{12t} + 720t[/tex]

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

Explanation:

The compound interest formula is

A = P( 1+r/n )^(n*t)

where

In this case,

So we go from this

A = P( 1+r/n )^(n*t)

to this

A = 6000( 1+0.042/12 )^(12t)

A = 6000(1.0035)^(12t)

A = 6000(1.004)^(12t)

The 1.0035 rounded to 1.004 when rounding to three decimal places, as the instructions mention.

So far we only considered the amount placed into the bank. But there's also the amount placed in the safe at home. We have $60 placed in here per month. This is 60*12 = 720 dollars per year. If t years go by, then a total of 720t dollars is put in the safe.

----------

So in summary we found

[tex]b(t) = 6000(1.004)^{12t}[/tex] = amount in savings account after t years go by

[tex]h(t) = 720t[/tex] = amount in safe after t years

leading to

[tex]C(t) = b(t) + h(t) = 6000(1.004)^{12t} + 720t[/tex]

Answer:

2 3/6 or 2 1/2

Step-by-step explanation:

8 4/6 - 6 1/6 = 2 3/6