A butterfly starts at 20 m and changes -16 m?

Answer : The surface area of triangular prism is 1080 in².

Step-by-step explanation :

Formula used to calculate the surface area of triangular prism is:

Surface area of triangular prism = (2 × Area of triangle) + Area of all rectangle

Area of triangle = [tex]\frac{1}{2}\times base\times height[/tex]

Area of rectangle = length × breadth

In the given triangular prism, there are 2 triangles and 3 different rectangles.

Surface area of triangular prism = [tex](2\times \frac{1}{2}\times base\times height)[/tex] + Area of rectangle ABCF + Area of rectangle ABDE + Area of rectangle CDEF

Surface area of triangular prism = [tex](2\times \frac{1}{2}\times 10\times 24)+(24\times 14)+(26\times 14)+(14\times 10)[/tex]

Surface area of triangular prism = 1080 in²

Therefore, the surface area of triangular prism is 1080 in².

Answer:

C - He substituted incorrectly when calculating the constant of variation.

The first error, in Nick’s work is given inn option C, i.e. He substituted incorrectly when calculating the constant of variation.

Constant of variation is the ratio between two variables in a direct variation or the product of two variables in an inverse variation.

We have,

s = 4, and t = 12

Now according to the question,

The variable s varies directly as the square of t,

i.e.

s = kt²

So,

Substituting given values of s and t,

s = kt²

i.e.

4 = k × 12²

⇒

[tex]k = \frac{4}{144}=\frac{1}{36}[/tex],

Now,

for 48,

i.e.

s = kt²,

We get,

[tex]48 = \frac{1}{36} t^2[/tex],

i.e.

[tex]t^2=36 *48=1728[/tex]

[tex]t=\sqrt{1728} = \sqrt{3*576} =24\sqrt{3}[/tex]

So, this is the correct value for t.

Hence, we can say that the first error, in Nick’s work is given inn option C, i.e. He substituted incorrectly when calculating the constant of variation.

To know more about constant of variation click here

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Answer:

a. (0,3)

b. (-4,-3)

c. (-2,0)

d. (-1 1/3, 1)

e. (4,9)

f. (-3 1/3, -2)

Step-by-step explanation:

Answer:

C. x+x+x+1+1+1 and 3(x+1)

Step-by-step explanation:

Algebraic Expressions

Some algebraic expressions are equivalent to others if the correct operations are done on them.

A. 10(x+4) must be operated by multiplying 10 by x and 10 by 4, thus:

10(x+4) = 10x + 40.

This choice is not correct

B. 3(x+5) must be operated by multiplying 3 by x and 3 by 5, thus:

3(x+5) = 3x + 15.

This choice is not correct

C. x+x+x+1+1+1 is equivalent to an expression where like terms are collected, that is. x+x+x=3x and 1+1+1=3, thus:

x+x+x+1+1+1=3x+3=3(x+1)

This choice is correct

D. x+x+x+x+1+1+1+1 in a similar way as explained above, like terms must be correctly collected: D. x+x+x+x=4x and 1+1+1+1=4, thus

D. x+x+x+x+1+1+1+1 = 4x+4 = 4(x+1)

This choice is not correct

Answer:

1

Step-by-step explanation:

12/8=1.5

15/10=1.5

1.5/1.5=1

Answer:

Jessica = J(Jeremy)+32.5

Step-by-step explanation:

Jessica equals Jeremy + 32.5 feet.

Hope this helps, have a great day! :D

Answer:

x = 15 degrees

Step-by-step explanation:

This is a right angle, since we know that a right angle contains 90 degrees, we can form an equation.

[tex]30+4x=90[/tex]

Now, we solve for x.

[tex]-30+30+ 4x = -30+90[/tex]

[tex]4x=60[/tex]

[tex]\frac{4x}{4}=\frac{90}{4}[/tex]

[tex]x=15[/tex]

Answer:

35

Step-by-step explanation:

A=bh=7*5=35

base= 7

height= 5

the formula is bh so you just multiply them and that's the area

Answer:

35 Sq. Units

Step-by-step explanation:

The Intuition for why the area of a parallelogram is A=bh (area = base x height)

The formula for the area of a parallelogram is base times height, just like the formula for the area of a rectangle.

Have a great day!

Answer:

B (0, 3)

when a graph is in slope-intercept form (y =mx +b) then the last number is the y-intercept. in the equation m=the slope and b=the y-intercept. then you plug it into a point (x, y)

Step-by-step explanation:

I hope this helped :)

Answer:

B(0,3)

when a graph in slope intercept from ( y= mx+b) then the last number is the y - intercept in the equation m= the slope and b = the y - intercept then you you plug it into a point ( x, y)

12 students play defense. 1st step.  6/9 of 27 is 18.  2nd. the ratio of the students playing offense to the total number of students playing soccer is 1 to 3 which means the total amount of students is '3', in the ratio it's 3 because it's simplified (i like to think of it as 'groups'). since we know that there are a total of 18 students and there's 3 total 'groups' we divide 18 into 3 which is 6. so there's 6 students in each group. we subtract 6 (1 group) from 18 ( the total number of students) which is 12, so there are 12 students playing defense. if you wrote the ratio again without simplifying it would be  6:18

Explanation:

There are 3 possible cases that describe the relationship between the mean and median of the collected data.

First case:

If the distribution is symmetric then, mean = median.

Second case:

For the positively skewed frequency distribution, the mean is greater than the median.

Third case:

For the negatively skewed frequency distribution mean is less than the median.

Given:

The different relations in the options.

To find:

The relation which represents a function.

Solution:

A relation is called a function if there exist a unique output (y-value) for each input (x-value).

In option A, there exist two outputs y=7 and y=1 for a single input x=-1. So, this is not a function.

In option B, there exist two outputs y=-5 and y=2 for a single input x=-1. So, this is not a function.

In option C, there exist two outputs y=2 and y=4 for a single input x=3. So, this is not a function.

In option D, there exist only one value of y for each x. So, this is a function.

Therefore, the correct option is D.

Answer:

D

Step-by-step explanation:

you probalby just want the answer

Answer:

2 each

Step-by-step explanation:

simple math

Answer:

a)

b) 99

Step-by-step explanation:

i'm not sure about a

but for b i got 99 members

Answer:

30 in, .5 m , 1.25 ft, 17 cm

Step-by-step explanation:

Answer:

17cm, 1.25 ft, 0.5 m, 30 inches

Step-by-step explanation:

I converted all of them to meters before deciding which one was least and which one was greatest.

Answer:

276

Step-by-step explanation:

Given :

Standard deviation (σ) = 2.9 inches

Error margin (E) = 0.45

Confidence interval = 99%

Using the relation to obtain the sample size (n)

n = [(Zcrit * σ) / E]²

Zcritical at 99% confidence interval = 2.576

n = [(2.576 * 2.9) / 0.45]²

n = [7.4704 / 0.45]²

n = 16.600888^2

n = 275.58951

n = 276 samples

Sample size

Answer:

15 feet. 10 plus 15=25 s0 therefore it is 15

Answer:

u

Step-by-step explanation:

Answer:

the value of the z is -3.5

Step-by-step explanation:

According to the question, the following information is given

-2z - 7

Based on the above information

We assume that we have to determine the z value

so

-2z - 7 = 0

-2z = 7

z = 7 ÷ -2

= -3.5

Hence, the value of the z is -3.5

The same is to be considered and relevant too

Answer:

Concept: Vectors

Answer:

Omg...so complete fast......

Answer:

From the graph we can say that ant is moving faster than the ladybug

Slope of the ant's movement will be steeper than the ladybug

Unit rate/slope of the graph is (distance traveled/elapsed time)

Remember ant will take less time to travel a certain distance than ladybug.

Answer:

186/25 i am pretty sure

Step-by-step explanation:

Answer:

the answer is 4/5

Step-by-step explanation:

2/3 times the reciprocal of 6/5 and then that will give you 4/5

Answer:

The answer would be 1000.

Step-by-step explanation:

Im not completely sure if this is correct. but i hope it helps!

Have an amazing day!

Answer: it should be 1000

Answer:

C.

Step-by-step explanation:

It's c because you need the sum of x and 10 but both multiplied by 2. So it wouldn't be A nor B because they are both subtracting. That would leave you with C and D and d doesn't have anything to do with multiplying. I dunno made sense to me.

Answer:

triangular

Step-by-step explanation:

triangular flags have a probability of 35/50, so it's the highest.