The drawing plan for an art studio shows a rectangle that is 192 inches by 4 inches. The scale in the plan is 2 in: 5 ft. Find the length and width of the actual studio. Then find the area of the actual studio. The length is feet feet the width is feet, and the area is square​

I don't know :/ sorry hold on wait

Answer:

Step-by-step explanation:

Amanda will record 32 names for the five previous generations.

Given is that Amanda is researching her ancestry. She records names and birth dates for her parents, their parents and so on, in an online research tool.

We can write the series as -

               Amanda

     {M}                        {F}

{M}       {F}             {M}       {F}

.

.

so on

We can write the sequence as -

2, 4, 8, ....

It is a geometric sequence. For n = 5, we can write -

a(5) = arⁿ⁻¹

a(5) = 2 x (2)⁴

a(5) = 2⁵

a(5) = 2 x 2 x 2 x 2 x 2

a(5) = 32

Therefore, she will record 32 names for the five previous generations.

To solve more questions on functions, expressions and polynomials, visit the link below -

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Answer:

12

Step-by-step explanation:

pemdas so -9×-12 making it -3 and then -36 / -3 would be 12 ur final answer

Answer:

$294

Step-by-step explanation:

8(36.75) = $294

Answer:

294

Step-by-step explanation:

8(36.75)

= $294

Answer:

$342

Step-by-step explanation:

Complete question

Find the simple interest on $1900 at 9% for 2 years.

Simple interest PRT/100

Given

Principal P = 1900

Rate R = 9%

Time T = 2years

Substitute

Simple interest = 1900*9*2/100

Simple interest  = 19*18

Simple interest  = $342

Hence the simple interest on $1900 at 9% for 2 years is $342

9514 1404 393

Answer:

  1, 2: Vertical

  5, 6: Adjacent

Step-by-step explanation:

Vertical angles are formed from opposite rays and share a vertex. Angles 1 and 2 are vertical angles.

__

Adjacent angles share a vertex and have one ray shared between them. Angles 5 and 6 are adjacent angles.

_____

Additional comment

In a polygon, interior angles that share a side of the polygon are also called adjacent angles..

Answer:

Step-by-step explanation:

Answer:

a. 17  b. 51

Step-by-step explanation:

Follow Order of Operations (PEMDAS):

Parentheses, Exponents, Multiplication/Division, Addition/Subtraction

a.  9 + 4² - (4-2) • 4

9 + 4² - (4-2) • 4 –––Start with (4-2) = 2 (parentheses)

9 + 4² - 2 • 4 ––– 4² (exponents)

9 + 16 - 2 • 4 ––– 2 • 4 (multiplication)

9 + 16 - 8 ––– 9 + 16 (addition)

25 - 8 ––– 25 - 8 (subtraction)

17

b. 15 - 4 + 2(7-3) • 5

15 - 4 + 2(7-3) • 5 ––– Start with 2(7-3)

~ Note: this can be done using distributive property (2•7 - 2•3) OR solving the parentheses first and then multiplying 2(4). Both get 8 and same end result.

15 - 4 + 8 • 5 ––– 8 • 5 (multiplication)

15 - 4 + 40 ––– 15 - 4 (subtraction) *Note: Subtraction and addition are interchangeable in the order because you do it left to right*

11 + 40 ––– 11 + 40 (addition)

51

Answer:

(a. 7)  (b. 51)

Step-by-step explanation:

A.

[tex]9 + 4^{2} - (4-2) * 4\\\\9 + 4^{2} - (2) * 4\\9 + 16 - 2 * 4\\9 + 16 - 8\\25 - 8\\17 \\[/tex]

B.

[tex]15 - 4 + 2 (7 - 3) * 5\\15 - 4 + 2 (4) * 5\\15-4+(2*4*5 )\\15-4+40\\11 + 40\\51[/tex]

(I don't know the numerical values)

Answer:

7

Step-by-step explanation:

The largest value in the list is 11.

A list is a structure consisting of an ordered set of numbers.

"The range is the difference between the smallest and highest numbers in a list."

For given example,

The range for the given list is 7 and the smallest value is 4.

Let R be the range of the list.

⇒ R = 7

Let S be the smallest value in the list.

⇒ S = 4

Let the largest value in the list be L.

⇒ R = L - S

⇒ 7 = L - 4

⇒ L = 7 + 4

⇒ L = 11

Therefore, the largest value in the list is 11.

Learn more about the range of the list here:

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Answer:

0.71 = 71% probability that she or he used the lab on a regular basis.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Student got an A

Event B: Used the lab on a regular basis.

Probability of an student getting an A:

55% of 40%(go to the lab on a regular basis).

15% of 100 - 40 = 60%(do not go to the lab on a regular basis).

So

[tex]P(A) = 0.55*0.4 + 0.15*0.6 = 0.31[/tex]

Probability of getting an A and using the lab on a regular basis:

55% of 40%, so:

[tex]P(A \cap B) = 0.55*0.4 = 0.22[/tex]

Probability that she or he used the lab on a regular basis.

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.22}{0.31} = 0.71[/tex]

0.71 = 71% probability that she or he used the lab on a regular basis.

9514 1404 393

Answer:

  1e. 2t² +8t -6

  2h. a² +2ab -3b²

  3b. 8r +4

  4b. 6x +4y -11

  5b. e -3

Step-by-step explanation:

1e. Combine like terms.

  (3t² +3t -6) +(-t² +5t) = t²(3 -1) +t(3 +5) -6

  = 2t² +8t -6

__

2h. (2a² +3ab -4b²) -(a² +ab -b²)

Use the distributive property to eliminate parentheses. Note that all signs change in the second set of parentheses.

  = 2a² +3ab -4b² -a² -ab +b² = a²(2 -1) +ab(3 -1) +b²(-4+1)

  = a² +2ab -3b²

__

3b. The hash marks indicate sides of the same length. The perimeter is the sum of all side lengths.

  P = (4r -2) +2(2r +3)

  P = 4r -2 +4r +6 . . . . . . eliminate parentheses

  P = 8r +4 . . . . . . . . . . . . combine like terms

__

4b. (3x +4y) +(5x -8) -(2x +3)

Note that the distributive property changes the sign of all terms in the last parentheses.

  = 3x +4y +5x -8 -2x -3 . . . . eliminate parentheses

  = x(3+5-2) +y(4) +(-8-3) . . . group like terms

  = 6x +4y -11

__

5b.

  Bill's age - Erin's age = (2e-3) -(e) = e -3

The difference in their ages is (e -3).

Answer:

m = 1/3, b = 2

Step-by-step explanation:

The equation is already written is slope-intercept form, y = m x + b.

Answer:

B

Step-by-step explanation:

6 miles............

Answer:

A.

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]step - 1 :define[/tex]

[tex]d = rt[/tex]

[tex]step - 2 : solve[/tex]

[tex] \huge \: \boxed { \boxed{ \red{ \therefore t = \frac{d}{r}}}}[/tex]

Answer:

y=14

Step-by-step explanation:

solve for y by simplifying both sides of the equation then insolating the variable

Answer:

15/19

Step-by-step explanation:

6/x +2/5 = 8

(multiply through by x)

6 + 2x/5 = 8x

(minus 8x from both sides)

-38x/5 + 6 = 0

(subtract 6 from both sides)

-38x/5 = -6

(times by -1)

38x/5 = 6

Times 6 by 5 and then divide by 38.

=15/19

[tex]\pink{\bigstar}[/tex] Value of x [tex]\large\leadsto\boxed{\tt\purple{\dfrac{15}{19}}}[/tex]

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ [tex]\sf \dfrac{6}{x} = 8 - \dfrac{2}{5}[/tex]

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

• Taking L.C.M:-

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ [tex]\sf \dfrac{6}{x} = \dfrac{40-2}{5}[/tex]

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ [tex]\sf \dfrac{6}{x} = \dfrac{38}{5}[/tex]

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

• Cross multiplying:-

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ [tex]\sf 6 \times 5 = 38 \times x[/tex]

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ [tex]\sf 30 = 38 \times x[/tex]

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

• Taking x term one side:-

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ [tex]\sf x = \dfrac{30}{38}[/tex]

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

• Simplifying the fraction:-

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ [tex]\large{\bold\red{x = \dfrac{15}{19}}}[/tex]

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Therefore, value of x is 15/19.

Answer:

252 B

Step-by-step explanation:

45 + 18 + 189

Answer:252

Step-by-step explanation:

Answer:

Step-by-step explanation:

f(x)=7(x^2+3x-10)=7(x+2)(x-5)

Answer:

B. (3,2)

Step-by-step explanation:

Step 1) When shifting from A(1,2) to B(4,4), the point shifted 3 units to the right (which means x=3) and 2 units upwards (which means y=2).

Step 2) So when you apply the same movements to point C(0,0), the new point will be (3,2).

See the diagram below. Step 1 is the graph on the left. Step 2 is the graph on the right. The movement is colored in green. Hope this helps!

Answer:

its the first one

Step-by-step explanation:

Answer:

y=-2x+7

Step-by-step explanation:

slope intercept form is equal to y=mx+c

where y is the y value

x is the x value

m is the gradient

and c is the y intercept

so the equation for this set of values is equal to

y=-2x+7

slope will be the m

and b is the y intercept

y＝mx＋b

y＝-2x＋7

Answer:

No it is not a function for sure.

Answer:

negative 7 is first then comes 2.  negative 9 is first then comes 8.

Step-by-step explanation:

Answer:

6.3

Step-by-step explanation: