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Answer:

lesser x = - 1 , greater x = 1

Step-by-step explanation:

- 4x² - 7 = - 11 ( add 7 to both sides )

- 4x² = - 4 ( divide both sides by - 4 )

x² = 1 ( take square root of both sides )

x = ± [tex]\sqrt{1}[/tex] = ± 1

then

lesser x = - 1

greater x = 1

Step-by-step explanation:

I will take long to answer this so i will give you the key to answering it.

Basically, since you know the sum of all the angles of a triangle equal 180, all you have to do is use 180 and subtract the numbers alredy there together to get the missing amount.

For example, to find out the answer to A, you already know two of the degree measurements which are 72 and 68. Now, subtract them with 180.

72+68=140

180-140=40

So, therefore, A equals 40 degrees.

I will give you one more example.

If you want to find the measurements of the angles B and C, the same process will happen. The only thing that is different is that only one known measurement is provided which is 36.5 but not so fast, they gave you a hint. That square above B. That means B is a right angle. So we got one measurement in the triangle, B is 90 degrees. Alright now continue like before.

90+36.5=126.5

180-126.5=53.5

Hope this helps.

________________________________________________________

[tex]35 + 15 = 50[/tex]

[tex]13 + 15 = 28[/tex]

________________________________________________________

It would take Kelly 37 more years to become 50, because 37 + 13 = 50

Now that we have found the number of years remaining, add her mother's age by the remaining years left, r

[tex]35 + r(37) = 72[/tex]

Answer:

$44.25

Step-by-step explanation:

($4.50×7)+(4.25×3)

=$31.50+$12.75

=$44.25

$44.25 is the cost if they bought 7 bags of popcorn and 3 drinks and 4.50p+4.25d is for p bags of popcorn and d drinks.

Two or more expressions with an Equal sign is called as Equation.

Given that

popcorn for $4.50

drink for $4.25.

There are 7 bags of popcorn and 3 drinks.

So let us find the total cost.

7(4.50)+3(4.25)

31.5+12.75

44.25

So $44.25 is the cost if they bought 7 bags of popcorn and 3 drinks

Now we need to find cost for p bags of popcorn and d drinks.

4.50p+4.25d

Hence $44.25 is the cost if they bought 7 bags of popcorn and 3 drinks and 4.50p+4.25d is for p bags of popcorn and d drinks.

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Answer:

lol, that is true she should stop drinking too much water.

But all jokes aside, the answer is A. At least one day she drank exactly 6 cups of water.

Answer:

1/625

Step-by-step explanation:

You can reduce it to:

5^-8/5^-4

which becomes

1/5^4

which is 1/625

Answer:

  n ≥ 7

Step-by-step explanation:

The English descriptor "is at least" corresponds to the math relation "is greater than or equal to." In symbols, we have ...

  "n is at least 7"   ⇔   n ≥ 7

Answer:

n ≥ 7

Step-by-step explanation:

If the question states "at least 7", it means the inequality should include 7 and the rest of the values lying in the set of the inequality are greater than 7 as 7 is the least value.

Inequality

Answer:

Triangle

Step-by-step explanation:

Answer: 2.54 centimeters

Step-by-step explanation: multiply the length value by 2.54

Using it's concept, it is found that the absolute deviation of 30 in the data set is of 2.

The absolute deviation of a measure is given by the absolute value of the differente between the measure and the mean.

The mean is the sum of all observations divided by the number of observations. In this data-set, it is given by:

M = (26 + 35 + 27 + 30 + 22)/5 = 28

30 - 28 = 2, hence, the absolute deviation of 30 in the data set is of 2.

More can be learned about absolute deviation at https://brainly.com/question/17381861

Answer:

The answer is 2

Step-by-step explanation:

I took the test

Answer:

Its .8 or #4.

Step-by-step explanation:

Answer:

since the adjacent is given which is 6.3 and we are to solve for the hypotenuse, it's best to use Cos

since Cos(27°)=adjacent/hypotenuse

we can substitute in the values

therefore we have Cos(27°)=6.3/x

x=6.3/Cos(27°)

x=7.06...

rounding this to the nearest tenth will be 7.1

therefore x=7.1

Answer:

Step-by-step explanation:

[tex]\frac{5}{10} * \frac{7}{11} = \frac{35}{110}\\ \frac{35}{110} = \frac{7}{55}[/tex]

Answer:

2/11.

Step-by-step explanation:

5/10 is 1/2, and you sen 7/11 of this away, meaning you have 4/11 for yourself.  Multiplying 4/11 by 1/2, we get 2/11.

Answer:

204 degrees is the answer

Step-by-step explanation:

.l

Answer:

2⁶-1

Step-by-step explanation:

[tex] ({2}^{0} + {2}^{1} + {2}^{2} + {2}^{3}) + {2}^{4} + {2}^{5} \\ = ({2}^{4} - 1) + {2}^{4} + {2}^{5} \\ = 2( {2}^{4} ) + {2}^{5} - 1 \\ = {2}^{5} + {2}^{5} - 1 \\ = 2( {2}^{5} ) - 1 \\ = {2}^{6} - 1[/tex]

Answer:

D, because the word problem separates the minus nine with a comma.

a is incorrect because there is no cube root

b is incorrect because again, no cube root

c is incorrect because the minus nine should not be within the cube root

Four times the cube root of x, minus nine is [tex]4\sqrt[3]{x-9}[/tex].So, our correct answer is 3. [tex]4\sqrt[3]{x-9}[/tex] .Here are a few ways to write "Four times the cube root of x, minus nine":

4 * √(x) - 9

4√(x) - 9

[tex]4\sqrt[3]{x-9}[/tex]

The first way to write it is the most literal way. It uses the multiplication symbol (*) to indicate that we are multiplying 4 and √(x). The second way to write it is a bit more concise. It uses the exponent notation to indicate that we are taking the cube root of x. The third way to write it is the most mathematical way. It uses the LaTeX symbol for the square root, which is \sqrt{}.Which way you choose to write it depends on the context. If you are writing in a more informal setting, you might use the first way. If you are writing in a more formal setting, you might use the third way

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Answer:

26

Step-by-step explanation:

complementary means two angles that add up to 90 degrees

90-38=52

52÷2=26

to check work you can do 26×2 (since there's 2x) = 52

52+38=90

Answer:

4.4177953e17

Step-by-step explanation:

i think that's the answer im not sure i worked it out in my notebook sorry if it's wrong

28/5 = 5.6
then round it up so it would be 6

Answer:

Step-by-step explanation:

well the area of a square is equal to the Width x Height. For example each side being 4 would be 4x4x4x4 or 4 to the second power.

Answer:

32π or 100.53 cm^3  to the nearest hundredth.

Step-by-step explanation:

dr/dt = 0.5

V = (4/3)π r^3

So dV/dr = (4/3)* 3 π r^(3-1)

= 4πr^2

Rate of increase in volume:  

dV/dt = dV/dr * dr/dt

At r = 4:

Rate of increase in Volume

dV/dt = 4π(4)^2 * 0.5

= 64π * 0.5

= 32π.

Answer:

276ft^2

Step-by-step explanation:

A triangular prism is made up of multiple faces, just like any three-dimensional shape. Let's do the calculations for this shape together.

Top two faces: 5ft × 14ft × 2 = 140ft^2 (we multiply by two b/c there are two rectangles, so we save a step)

Front and back face: 8ft × 3ft = 24ft^2 (we do not divide by two b/c there are two triangles, so we save a step)

Bottom face*: 8ft × 14ft = 112ft^2

*Note: Don't solve for this face when calculating latent surface area, or when calculating the SA of a compound shape.

Now, we just add up the areas of all the shapes.

140 + 112 + 24 = 276

Final answer: 276ft^2

Answer:

first one, put value of x= -3 and y = 0

second one, pit vale of x=7 and y= -7

Step-by-step explanation:

first one,

-14(-3) -20(0) =42

or, 42-0 = 42

or, 42 = 42

proved

second one,

-14(7) -20(-7) = 42

or, -98 + 140=42

or, 42 = 42

proved

Answer:

The toys cost about $12.

Roger should have gotten back about $5.15 in change.

Step-by-step explanation:

Dog Toys Question:

Bone cost $5.25, so you can estimate it to be about $5.

Frisbee cost $6.75, so you can estimate it to be about &7.

To get estimated total, add $5 + $7 = about $12 total.

Roger's Change Question:

The hamburger and fries cost $4.84, so you can round that out to $4.85.

$10 - estimated $4.85 = about $5.15 in change.

You could also round the $4.84 cost of the hamburger and fries to $5 even. In this case, $10 - estimated $5 = about $5 in change.

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

The Correct choice is :

As we know, line of symmetry divides a figure into two equal halves, where the two resultant figures are congruent to each other.

Answer:

Diameter=8

Radius=4

Step-by-step explanation:

The equation for circumference is dπ where "d" is the diameter.

C = 8π

d=8

The equation for radius is d/2

r=8/2

r=4

Answer:

42/17

Step-by-step explanation:

First term, a = 18

T18 = 60

Common difference, d = ?

[tex]T_{18} = 18 + (18 - 1)d \\ 60 = 18 + 17d \\ 17d = 42 \\ d = \frac{42}{17} [/tex]