Simplify:
2
(
5
+
3
x
)
+
(
x
+
10
)
2(5+3x)+(x+10)

Answer:

It is Quantitative.

Step-by-step explanation:

Quantitative data is information about quantities; information that can be measured with numbers.

Qualitative data describes qualities or characteristics; information collected using questionnaires, interviews, or observation, and frequently appears in narrative form.

Examples:

It is 25° Celcius today. - Quantitative

I drooled after smelling freshly baked cookies. - Qualitative

Tips:

Think of Quantitative as Quantity; numbers.

Think of Qualitative as Quality; description/characteristics.

Answer:

Around 140

Step-by-step explanation:

It's over 90 degree angle

Answer:

$3.60

Step-by-step explanation:

8 apples × 150 grams

1200 grams

1 kilogram = 1000 grams

x. = 1200 grams

X = 1.2 kg

1kg = $3.00

1.2kg =$3.6

The cost of 8 apples that have weight 1.2 kilograms is,

⇒ $3.60

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Amy buys eight apples that each weigh 150 grams.

And, She notices that they are on sale for $3.00 per kilogram.

Now,

Total weight of the apples is,

⇒ 8 × 150 grams

⇒ 1200 grams

⇒ 1.2 kilograms

Since, She notices that they are on sale for $3.00 per kilogram.

Hence, The cost of 8 apples that have weight 1.2 kilograms is,

⇒ $3.00 × 1.2

⇒ $3.60

Thus, The cost of 8 apples that have weight 1.2 kilograms is,

⇒ $3.60

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Answer:

Step-by-step explanation:

C

The area of the circular shaped pizza is A = 254.5 cm²

A circle is a closed figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle

The circumference of circle = 2πr

The area of the circle = πr²

where r is the radius of the circle

The standard form of a circle is

( x - h )² + ( y - k )² = r²,

where r is the radius of the circle and (h,k) is the center of the circle.

The equation of circle is ( x - h )² + ( y - k )² = r²

For a unit circle , the radius r = 1

x² + y² = r² be equation (1)

Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )

Given data ,

Let the radius of the pizza be r = 9 cm

The area A of a circle with radius r is given by the formula:

A = πr²

Substituting the given radius of 9 cm, we get:

A = π(9 cm)²

A = π(81 cm²)

A ≈ 254.47 cm²

Rounding to one decimal place, we get:

A ≈ 254.5 cm²

Hence , the area of the circular pizza with a radius of 9 cm is approximately 254.5 cm²

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Answer:

OA. 81

Step-by-step explanation:

A composite number is a positive integer that can be formed by multiplying two smaller positive integers.

81 = 9 x 9

81 = 3 x 27

Answer:

7^5 (7 to the fifth power)

Step-by-step explanation:

those sevens can be represented by 7^5 because there are five sevens to multiply together

you can check the answer by doing 7 x 7 x 7 x 7 x 7=16807

and making sure that 7^5 is also equal to 16807, which it is.

Hope this helps! :)

Answer:

did u try looking it up lol?

Step-by-step explanation:

Another accepted answer is -5-i, but if your teacher wants only one answer, then I'd go for 5+i

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

Work Shown:

[tex]\sqrt{24+10i} = a+bi\\\\\left(\sqrt{24+10i}\right)^2 = (a+bi)^2\\\\24+10i = a^2+2abi+b^2i^2\\\\24+10i = a^2+2abi+b^2(-1)\\\\24+10i = a^2+2abi-b^2\\\\24+10i = (a^2-b^2)+(2ab)i\\\\[/tex]

Equating terms, we have this system

[tex]\begin{cases}24 = a^2-b^2\ \text{.... real terms}\\10 = 2ab\ \text{.... imaginary terms}\end{cases}[/tex]

Solve the second equation for b to get b = 5/a

Plug that into the first equation to solve for 'a'

[tex]24 = a^2-b^2\\\\24 = a^2-\left(\frac{5}{a}\right)^2\\\\24 = a^2-\frac{25}{a^2}\\\\24a^2 = a^4-25\\\\0 = a^4-24a^2-25\\\\a^4-24a^2-25 = 0\\\\(a^2-25)(a^2+1) = 0\\\\(a-5)(a+5)(a^2+1) = 0\\\\[/tex]

Setting each factor equal to zero would lead to...

We're told that 'a' is a real number, so we ignore the solutions "a = i and a = -i". The only possible solutions are a = 5 and a = -5

If a = 5, then,

b = 5/a = 5/5 = 1

So

[tex]\sqrt{24+10i} = a+bi = 5+1i = 5+i[/tex]

or in short,

[tex]\sqrt{24+10i} = 5+i[/tex]

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

If a = -5, then b = 5/a = 5/(-5) = -1

So it's very possible that we could also say

[tex]\sqrt{24+10i} = -5-i\\\\[/tex]

If you wanted to combine the two we would use the plus/minus notation like so

[tex]\sqrt{24+10i} = \pm(5+i)\\\\[/tex]

This is due to (5+i)^2 and (-5-i)^2 both having the same result of 24+10i. Hence the plus/minus. If your teacher wants one answer only, then I'd go for 5+i, as we could consider it a "principal" square root in a sense.

Answer:

perpendicular, parallel, neither, parallel

Answer:

6in

Step-by-step explanation:

Using the pythagerous thereom,

10^2 = 8^2 + b^2

b^2 = 10^2-8^2

b^2 = 100-64

b^2 = 36

b = 6

Feel free to mark this as brainliest :D

Answer:

6

Step-by-step explanation:

Since this is a right triangle we can use the Pythagorean theorem

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

?^2 + 8^2 = 10^2

?^2 +64 = 100

?^2 = 100-64

?^2 = 36

Take the square root of each side

? = sqrt(36)

?= 6

Answer:

Step-by-step explanation:

take 30 degree as reference angle

using cos rule

cos 30=adjacent/hypotenuse

[tex]\sqrt{3}[/tex]/2=12/y(do cross multiplication)

12*2=y[tex]\sqrt{3}[/tex]

24/[tex]\sqrt{3}[/tex]=y

8[tex]\sqrt{3}[/tex]=y

for x

using pythagors theorem

H^2=P^2+B^2

24^2=X^2+(8[tex]\sqrt{3}[/tex] )^2

576=X^2+192

576-192=X^2

384=x^2

[tex]\sqrt{384}[/tex]=x

8[tex]\sqrt{6}[/tex]=x

Answer:

79

Step-by-step explanation:

79, 85, 89, 68 have a mean of 80.25 according to calculator.net. the number itself Is close to the number you want, in this case 80, i input 80, but it gave me a score of 80.2, so i tried again with 81, it gave me a score of 80.4, so the third attempt was successful with 79 being the input and 80 the output

calculator.net is approved on my school computer so there is a chance it is on yours as well.

Answer:

It would be 17 feet.

Step-by-step explanation:

So to do this, there is a right triangle being made with the height of the water slide and its base (length). With this, the Pythagorean Theorem can be used to find the hypotenuse of these lengths by the equation:

a^2 + b^2 = c^2

So by plugging in the given legs of the triangle, the answer can be found.

15^2 + 8^2 = c^2

225 + 64 = c^2

289 = c^2

c = 17

Answer:

2 °F

Step-by-step explanation:

Overnight temperature = -7 °F

Total Noon temperature = 9 °F

What was the temperature in Chicago that afternoon?

Temperature in Chicago that afternoon = Total Noon temperature + Overnight temperature

= 9 °F + (-7 °F)

= 9 °F - 7 °F

= 2 °F

Temperature in Chicago that afternoon = 2 °F

an isotope is an atom with a different number of____neutrons____ ,than a normal atom

i need points srry

Step-by-step explanation:

Answer:

Step-by-step explanation:

2/3*x=20

2x=20*3

x=60/2

x=30

Answer:

The zeros the polynomial :

X=(1/2 , –5)

Answer:

10

Step-by-step explanation:

Distance Formula: sqrt_/(x1-x2)^2 + (y1-y2)^2

sqrt_/(-9-(-3))^2 + (3-(-5))^2

sqrt_/(-6)^2 + (8)^2

sqrt_/36+64

sqrt_/100

Simplify and you get the number 10.

Answer:

x=2

Step-by-step explanation:

Since the are the same equation they are already equal

Answer:

x=2

Step-by-step explanation:

Answer:

I say A or B but in favor A

Step-by-step explanation:

Answer:

Yes, she will have $1.96 left

Step-by-step explanation:

Initial cost : $60

Discount : 25%=0.25

Calculating discount : 60 * 0.25 = 15

Calculating cost after discount : 60-15 = 45

Sales tax : 6.75%=0.0675

Calculating sales tax : 45 * 0.0675 = 3.0375≈$3.04

Calculating final cost : 45+ 3.04 = $48.04

Can she buy the printer : 50 - 48.04= $1.96

Answer : yes

Yes, she has enough money to buy the printer.  Then the balance of her account will be $ 1.9625.

The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol 'percent' is used to symbolize it.

Grace needs to buy a new printer.

The printer she wants has a price tag of $60.

She has a 25% off coupon and $50 in her bank account.

If she must pay 6.75% sales tax.

Then the price of the printer after the discount of 25% and the sales tax of 6.75% will be

Cost = $ 60 x (1 - 0.25) x 1.0675

Cost = $ 60 x 0.75 x 1.0675

Cost = $ 48.0375

Yes, she has enough money to buy the printer.

Then the balance of her account will be

Balance = $ 50 - $ 48.0375

Balance = $ 1.9625

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Answer:

Step-by-step explanation:

[tex]cos15=cos\frac{30}{2}[/tex] so the angle we will use in our identity is 30 degrees. The formula is

[tex]cos\frac{30}{2}=\sqrt{\frac{1+cos30}{2} }[/tex] which simplifies to

[tex]\sqrt{\frac{1+\frac{\sqrt{3} }{2} }{2} }[/tex] which simplifies to

[tex]\sqrt{\frac{\frac{2+\sqrt{3} }{2} }{2} }[/tex] which simplifies to

[tex]\sqrt{\frac{2+\sqrt{3} }{4} }[/tex] which simplifies, finally, to

[tex]\frac{\sqrt{2+\sqrt{3} } }{2}[/tex], choice a.

Answer:

c

Step-by-step explanation:

Answer:

it should be 80

Answer:

4 x 3 = 12, 12 x 1/2 = 6

6(area of one triangle) x 4(there are 4 sides) = 24

4 x 4 = 16(area of bottom)

Add given areas:

24 + 16 = 40

5dgji

Step-by-step explanation:

how???? ... hope it is good