Question 1 of 8
Which of the following are good questions to ask when trying to understand a
problem? Check all that apply.
A. Does my guess satisfy the equation?
B. Is the variable always positive, negative, or either?
C. How should I present the solution?
D. What is the variable?
E. What is a logical name for the variable?
F. What are the units of the variable?

Check the picture below.

[tex]\begin{cases} (12x)+(5x-10)+\theta =180\\ ~\hfill \theta +16x = 180 \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{\Large 180}}{(12x)+(5x-10)+\theta}~~ = ~~\stackrel{\textit{\Large 180}}{\theta +16x}\implies 17x-10+\theta =\theta +16x \\\\\\ 17x-10=16x\implies 17x=16x+10\implies \boxed{x=10} \\\\[-0.35em] ~\dotfill\\\\ \theta +16x = 180\implies \theta +16(10)=180\implies \theta +160=180\implies \stackrel{\measuredangle C}{\theta} =20[/tex]

Answer:

26

Step-by-step explanation:

Assume the table is a rectangle.

A rectangle has 2 sides with the length of the length and 2 sides with the length of the width.

perimeter = sum of the lengths of the sides

perimeter = 9 + 9 + 4 + 4

perimeter = 26

Answer:

26

Step-by-step explanation:

Assuming the table is rectangular...

Rectangles = 4 sides

2 sides = 9

Other 2 sides = 4

Perimeter = adding up the sides

9+9+4+4=26

Answer:

39

Step-by-step explanation:

First find the discount

52 * 25%

52 * .25

13

Subtract that from the original amount

52-13

39

The price is 39 dollars

Answer:

A

Step-by-step explanation:

It is A because the negative in front of the 4 shows the curve was REFLECTED over the x-axis. The +1/2 in the parenthesis with the x shows the curve was translated (shifted or slid) to the LEFT 1/2 unit and the +3 at the end of the equation shows the whole thing was translated/shifted/slid UP 3 units. These transformations all together make the equation in A match the curve given.

Answer:

8/4 Square Inches

Step-by-step explanation:

I think so

The probability that Kate chooses a two-digit number or a prime number randomly from the month of August is 7/31.

Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.

Kate is randomly choosing a date in the month of August. This date must be a two-digit number or a prime number.

The two digit prime numbers are 7(11,13,17,19,23,29,31). Thus, the probability is,

[tex]P=\dfrac{7}{31}[/tex]

Hence, the probability that Kate chooses a two-digit number or a prime number randomly from the month of August is 7/31.

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Answer:

g(x) = (x + 2)^2 + 1

Step-by-step explanation:

From the graph/image that you have provided said translated shift of

f(x) -> g(x)

f(x) = x^2 , g(x) = a(x -h)^2 +k

h is shift right/left

k is shift up/down.

It appears that the shift is left 2 and up 1.

h = -2 and k = 1

g(x) = (x - (-2))^2 +1

g(x) = (x + 2)^2 + 1

Answer:

Maria earned 112 dollars

Step-by-step explanation:

divided 96 by 12 then once you have that, multiply your answer by 14

The total number of the bags sold by the shopkeeper will be 65532.

The sequence formed by using the numbers is termed as the number series.So in this question from day one to day seven each day the sold items are multiplied by 4.

So the mathematical expression will be given as:

[tex]=(12\times 4^0)+(12\times 4^1)+(12\times 4^2)+(12\times 4^3)+(12\times 4^4)+(12\times 4^5)+(12\times 4^6)[/tex]

[tex]=12+48+192+768+3072+12288+49152\\\\=65532[/tex]

Hence the total number of the bags sold by the shopkeeper will be 65532.

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Answer:

C) Q' (-4, 4), R' (4, 4), S' (4, -4), T' (-4, -4)

Step-by-step explanation:

Original:

Q = (-2, 2)

R = (2, 2)

S = (2, -2)

T = (-2, -2)

After multiplying each coordinate by 2:

Q' = (-4, 4)

R' = (4, 4)

S' = (4, -4)

T' = (-4, -4)

[tex]height = 3m[/tex]

[tex]volume = 60 {m}^{3} [/tex]

the area of the room.

[tex]l \times w \times h = 60[/tex]

[tex]l \times w \times 3 = 60[/tex]

[tex]l \times w = 20 {m}^{2} [/tex]

therefore, the area of the room is 20 square meters.

Answer:

Step-by-step explanation:

x + 17 = 25

Then

x + 17 - 17 = 25 - 17 (we subtract 17 from both sides in order to isolate x)

Then

x = 8

Answer:

1/9

Step-by-step explanation:

lol

Answer:

1/9

Step-by-step explanation:

Your welcome

Answer:

45°

Step-by-step explanation:

sum of exterior angles = 360

n+n+n+n+90+90=360

4n+180=360

4n=180n=45

Let's say the side length of square A is x, which means the side length of square B is 2x.

Then, the area of square A can be written as , and the area of square B can be written as .

There's no diagram here with shaded region, so I'll just find the area of square A as a percentage of the area of square B:

= 1/4 = 25%

So, the answer is 25% (note this is the answer to the question: "express the area of square A as a percentage of the area of square B; there is no diagram showing me where the shaded area is, so I cannot answer the original question

Answer:

[tex]x=\frac{\pi }{6} ,\frac{7\pi }{6}[/tex]

Step-by-step explanation:

[tex]3*cot^2x-1=0\\\\3*cot^2x=1\\\\cot^2x=\frac{1}{3} \\\\cot(x)=\sqrt{\frac{1}{3} } \\\\cot(x)=\frac{1}{\sqrt{3} } \\\\\frac{1}{tan(x)}=\frac{1}{\sqrt{3} } \\\\tan(x)=\sqrt{3} \\[/tex]

x=tan^-1([tex]\sqrt{3}[/tex])

It has to be in Quadrant 1  [tex]\frac{+}{+} =+[/tex] or 3 [tex]\frac{-}{-}=+[/tex] for positive.

[tex]x=\frac{\pi }{6} ,\frac{7\pi }{6}[/tex]

Unless that incorrect due to tan(x) range is [tex]-\frac{\pi }{2} \leq x\leq \frac{\pi }{2}[/tex]. Then the only answer is [tex]x=\frac{\pi }{6}[/tex]

The equation of the line of best fit in the table given regarding the weights will be y = 0.77x - 1.1

From the information given, the equation of the line of best fit in the table given regarding the weights is given and the correlation coefficient is 0.99.

The relationship is strongly positive as it's close to 1. The slope of the best fit gives the change in dosage for for an increase in the weight of the patient.

When a patient who weighs 140 pounds is prescribed 135 milligrams of medicine, it affects the line of best fit as it increases the intercept but decreases the slope.

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Answer:

[tex]x=\dfrac{\log(75.2)}{4\log(8)}[/tex]

Step-by-step explanation:

[tex]\begin{aligned}5 \cdot 8^{4x} & =376\\8^{4x} & = \dfrac{376}{5}\\8^{4x} & =75.2\end{aligned}[/tex]

Taking logs of both sides:

[tex]\implies \log(8)^{4x}=\log(75.2)[/tex]

Using the power log rule [tex]\log_a(x)^n=n\log_a(x)[/tex] :

[tex]\implies 4x\log(8)=\log(75.2)[/tex]

Solving for x:

[tex]\begin{aligned}\implies 4x\log(8) & =\log(75.2)\\\\ 4x & =\dfrac{\log(75.2)}{\log(8)}\\\\x & =\dfrac{\log(75.2)}{4\log(8)}\\\end{aligned}[/tex]

Answer:

B

Step-by-step explanation:

Answer:

9 Cards

Step-by-step explanation:

9 Cards a day equals 27 cards in 3 days

Answer:

9 CARDS

Step-by-step explanation:

(9) ~\(-_-)/~

To create a 3D figure, Scarlett can use two equilateral triangles and three rectangles, which leads to an equilateral triangle prism.

This is a solid or 3D figure that has two faces made up of polygons.

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Answer: The answer is Equilateral triangle prism with two equilateral triangles and three rectangles

Step-by-step explanation:
I took the test
Oh and I am good like that.

Answer:

c

Step-by-step explanation:

c

Answer:

7√3

Step-by-step explanation:

Pythagorean Theorem

a² + b² = c²

7² + b² = 14²

b² = 14² - 7²

b² = 196 - 49

b = √147

7√3

Answer:

[tex]AC = 12.12[/tex]

Step-by-step explanation:

Step 1:  Determine side AC

[tex]Pythagorean\ theorem[/tex] → [tex]a^2 + b^2 = c^2[/tex]

[tex](AC)^2 + (CB)^2 = (AB)^2[/tex]

[tex](AC)^2 + (7)^2 = (14)^2[/tex]

[tex](AC)^2 + 49 = 196[/tex]

Step 2:  Subtract 49 from both sides

[tex](AC)^2 + 49 - 49 = 196- 49[/tex]

[tex](AC)^2 = 147[/tex]

Step 3:  Square root both sides

[tex]\sqrt{(AC)^2} = \sqrt{147}[/tex]

[tex]AC = 12.12[/tex]

Answer:  [tex]AC = 12.12[/tex]

Answer:

To find coterminal angles, add or subtract 360 degrees of the terminal angle as many times possible.

To find radians, use this formula:

Degrees × π/180°

Coterminal angles point in the same exact direction.

In degree mode, you can add on 360 degrees to get a coterminal angle.

Example: 90 degrees is coterminal to 450 degrees because 90+360 = 450. Both angles 90 and 450 point directly north.

You can also subtract 360 from the angle to get a coterminal counterpart.

Example: Given the angle 700, it is coterminal to 340 since 700-360 = 340

This process of adding or subtracting 360 can be done as many times as you like.

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

For radian mode, you'll add or subtract 2pi radians to get a coterminal angle. This is because 2pi radians = 360 degrees by definition.

Examples:

Answer:

x = −4 and x = 4

Step-by-step explanation:

if you do divide its all the opposite 8÷64=8 4×2=8 8×32=4 or 8÷-2=-4