∠A and \angle B∠B are complementary angles. If m\angle A=(2x-4) ∘ and m\angle B=(5x+17) ∘ , then find the measure of \angle A∠A.

9514 1404 393

Answer:

  D.  2%  

Step-by-step explanation:

The growth rate can be found by looking at the growth factor of the exponential function.

  f(x) = (initial value) × (growth factor)^x

The growth rate is related by ...

  growth factor = growth rate + 1

This means the growth rate of f(x) is 1.04 -1 = 0.04 = 4%.

__

We can write the function g(x) describing the table as ...

  g(x) = (value at x=x1) × ((value at x=x2)/(value at x=x1))^((x-x1)/(x2-x1))

So, this could be ...

  g(x) = 31.21 × (32.47/31.21)^((x-2)/2) = a·b^x

     where b = (32.47/31.21)^(1/2) ≈ 1.02 . . . . growth factor

This means the growth rate for g(x) is 1.02 -1 = 0.02 = 2%.

__

Then the difference between the growth rates of the two functions is ...

  4% - 2% = 2% . . . . . matches choice D

5 liters (L) of 30% bleach solution contains 0.3×(5 L) = 1.5 L of bleach.

3 L of 50% bleach contains 0.5×(3 L) = 1.5 L of bleach, too.

Combined, you would have 8 L of solution containing 1.5 L + 1.5 L = 3 L of bleach, so the concentration of bleach is

(3 L) / (8 L) = 0.375 = 37.5%

Answer:

the third option, "what number, when added to negative four, is equal to negative five?"

Step-by-step explanation:

"what number, when added to negative four, is equal to negative five?" can be expressed as g + (- 4) = - 5, which is the same as in the equation.

i hope this helps! :D comment if you need any clarification.

Answer:

508sq. cm

Step-by-step explanation:

surface area of a prism = 2(lw + wh + lh)

For the larger prism

Surface area = 2(2*10 + 2 * 12 * 10*12)

Surface area = 2(20+24+120)

Surface area = 2(164)

Surface area = 328sq.cm

For the smaller prism

Surface area = 2(3*6 + 3 * 8 * 6*8)

Surface area = 2(18+24+48)

Surface area = 2(90)

Surface area = 180 sq.cm

Surface area of the figure = 328 + 180

Surface area of the figure = 508sq. cm

Answer:yˆ=−0.175x2−3.786x+121.119

look at picture

Step-by-step explanation:

The quadratic regression equation for the data set is:

y^ = -0.175x²-3.786x+121.119

Quadratic regression is the process of determining the equation of a parabola that best fits a set of data. This set of data is a given set of graph points that make up the shape of a parabola. The equation of the parabola is y = ax² + bx + c, where a can never equal zero.

According to the given problem,

Let us choose any value of x,

x = 10

For this value of x we can see that the respective value of y= 50

Substituting the value of x in the equations to see which equation satisfies the value of y as 50.

Substituting the value of x in the equation:

y^ = -0.175x²-3.786x+121.119

y^ = 50

Hence, we can conclude that y^ = 0.175x² - 3.786 + 121.119 is the quadratic regression equation for the given data set.

Learn more about Quadratic Linear Equations here:

https://brainly.com/question/24639881

#SPJ2

Answer:

-1/√2  

Step-by-step explanation:

According to trigonometry identity

cos(A+B) = cosAcosB - sinA sinB

Given the expression

(cos92°)(cos133°)-(sin92°)(sin133°)

This can be expressed as cos(92+133) where A = 92, B = 133

(cos92°)(cos133°)-(sin92°)(sin133°)

= cos(92+133)

= cos225

= -0.7071

= -1/√2

Hence the exact value is  -1/√2  

Answer: 6/10

Step-by-step explanation: The answer is 6/10 because: first you convert the 1/2 to tenths which would be 5/10. Then, you add 1/10 and 5/10 and you get 6/10 of the flags were either pink or orange.

Answer:

the first one (25x + 30y is less than or equal to 100)

Step-by-step explanation:

money for clothing set x amount of sets plus pairs of shoes has to be less than or equal to 100 dollars.

Answer: 26 Feet

Hope this helps!

No,

[tex]9e + 2(e + 5) = 11e + 10[/tex]

And 11e + 10 is not equivalent to 11e + 5

Answer:

No, its not.

9e + 2(e+5)

= 9e + 2e + 10

= 11e + 10

---> 9e+2(e+5) when simplified gives 11e + 10.

---> Therefore, its not equal to 11e + 5

Answer:

11

Step-by-step explanation:

Answer:

x = 21

Step-by-step explanation:

21 x 3 = 63 and 63 + 67 = 130 and sense there across from eachother this is correct because vertical angles are always the same measure.

Hope this helps!

Answer:

the answer is 6

Step-by-step explanation:

slope = m

y = mx + c

m = 6

Mean- 26.222222222222

Median- 26

Mode- 24

Range- 7

Hope this helped :D

Answer:

25

Step-by-step explanation:

as you can see test a is further away from the ruler you have to put it at 0 so that you can get your answer I am not sure if it's correct or not

Answer:

Step-by-step explanation:

Answer:

333.67

Step-by-step explanation:

trust

Answer:

V ≈ 3367.6 cm³

Step-by-step explanation:

The volume (V) of a sphere is calculated as

V = [tex]\frac{4}{3}[/tex] πr³ ( r is the radius )

Here D = 18.6 , then r = 18.6 ÷ 2 = 9.3 , so

V = [tex]\frac{4}{3}[/tex] × 3.14 × 9.3³

   = [tex]\frac{4}{3}[/tex] × 3.14 × 804.357

   = [tex]\frac{4(3.14)(804.357)}{3}[/tex]

   ≈ 3367.6 cm³ ( to the nearest tenth )

Answer:

the equation is x-6

pls mark me as brainliest

Answer:

See below.

Step-by-step explanation:

[tex]41.5 + 5x = 52.5\\5x = 11\\x = 2.2[/tex]

Answer:

41.5+5x=52.55x=11x=2.2

Answer:

130 ; 50% ; 25%

Step-by-step explanation:

Using te boxplot to answer the underlying questions :

Number of employees who spend $10 or less corresponds to the lower quartile, which is up to 25% of the distribution :

Total number of employees = 520

Number of employees who spend $10 or less = 25% of 520 = 0.25 * 520 = 130 employees.

Percentage of employees who spend from $10 to $45 = Interquartile range

$10 corresponds to lower quartile = 25%

$45 corresponds to upper quartile = 75%

IQR  = 75% - 25% = 50%

Percentage who spend $45 or more

$45 corresponds to the upper QUARTILE (Q3) :

45 or more = 100% - Q3 = 100% - 75% = 25%

Answer:

5.the square root is positive number lessthan 1 is beteween 0 and 1

1.the square root of a positive number greater than 1 is less thsn number

Answer:

Adjacent

Step-by-step explanation:

They are next to each other ^^

Answer:

0 -> 6 in frquency

1 -> 8 in frequency

2 -> 8 in frequency

3 -> 6 in frequency

4 -> 6 in frequency

5 -> 8 in frequency

6 -> 2 in frequency

7 -> 2 in frequency

Step-by-step explanation:

brainliest plz

Answer:

B=50

Step-by-step explanation:

THE TRINGLE IS 180 DEGREE (RULE)

(X+38)+(3X-12)+(2X-2)=180

6X=180-(38-12-2)

6X=156

X=26

B=2X-2

B=2(26)-2=52-2=50

Answer:

B=50

Step-by-step explanation:

Step-by-step explanation:

arc length for QT = 2× 71° = 142°

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

Explanation:

The diagram shows that PT = 4 and QR = 5. Since QR is a radius of the circle, this means that the other radii segments TR and RS are also 5 units long.

Note how PR = PT+TR = 4+5 = 9, and how this segment is the hypotenuse for the right triangles PQR and PRS.

Picking either triangle, we have one known leg of 5 units (the radius mentioned earlier) and the other is unknown. The unknown leg is tangent to the circle, and recall that a tangent segment is always perpendicular to the radius at the point of tangency. So that's why we have right triangles.

Apply the pythagorean theorem to find the length of PQ and PS (both are the same length)

a^2 + b^2 = c^2

a^2 + 5^2 = 9^2

a^2 + 25 = 81

a^2 = 81 - 25

a^2 = 56

a = sqrt(56)

a = sqrt(4*14)

a = sqrt(4)*sqrt(14)

a = 2*sqrt(14)

The exact length of PQ and PS is 2*sqrt(14) units.

---------

We have enough to find the perimeter of quadrilateral PQRS. We add up the exterior sides. That means we ignore the interior segment PR.

perimeter = PQ+QR+RS+SP

perimeter = 2*sqrt(14)+5+5+2*sqrt(14)

perimeter = 10+4*sqrt(14)

Answer is choice B

Side note: The expression above approximates to roughly 24.966629

Answer:

4/18 is equivalent to 2/9