Does anybody know this?Two complementary angles are in the ratio of 4:6 find the measure of the smallest angle and the value of x.

Answer:

c)  124.96

Step-by-step explanation:

Geometric series:  100 + 20 + ... + 0.16

First we need to find which term 0.16 is.

General form of a geometric sequence: [tex]a_n=ar^{n-1}[/tex]

(where a is the first term and r is the common ratio)

To find the common ratio r, divide one term by the previous term:

[tex]\implies r=\dfrac{a_2}{a_1}=\dfrac{20}{100}=0.2[/tex]

Therefore, [tex]a_n=100(0.2)^{n-1}[/tex]

Substitute [tex]a_n=0.16[/tex] into the equation and solve for n:

[tex]\implies 100(0.2)^{n-1}=0.16[/tex]

[tex]\implies (0.2)^{n-1}=0.0016[/tex]

[tex]\implies \ln(0.2)^{n-1}=\ln0.0016[/tex]

[tex]\implies (n-1)\ln(0.2)=\ln0.0016[/tex]

[tex]\implies n-1=\dfrac{\ln0.0016}{\ln(0.2)}[/tex]

[tex]\implies n=\dfrac{\ln0.0016}{\ln(0.2)}+1[/tex]

[tex]\implies n=5[/tex]

Therefore, we need to find the sum of the first 5 terms.

Sum of the first n terms of a geometric series:

[tex]S_n=\dfrac{a(1-r^n)}{1-r}[/tex]

Therefore, sum of the first 5 terms:

[tex]\implies S_5=\dfrac{100(1-0.2^5)}{1-0.2}[/tex]

[tex]\implies S_5=124.96[/tex]

Answer:

45 kg

Step-by-step explanation:

Formula for force :

Solving :

Answer:

T is 5 and n is 10

Step-by-step explanation:

just relate the (b+Tv)^n with 3075072b^5v^10

Answer:

D

Step-by-step explanation:

The value of b in the exponential function which is formed by Shanna for the price of land is 8% or 0.08.

Percentage increase is the amount added to the initial value in the percentage part.

The value of a plot of land which is increases 8% every year has the current value of $350000.

The final value owner wants is $570000.  Shanna writes an exponential function of the form, to model the value,v, of the land in t years as,

[tex]v(t)=a\times b^t[/tex]

Here, in this exponential function the value of a is fixed or initial term which is $350000 and the value of b is the constant term which is change factor. Here, the value of b is 8%.

b=8%

b=8/100

b=0.08

Thus, the value of b in the exponential function which is formed by Shanna for the price of land is 8% or 0.08.

Learn more about the percentage increase here;

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Answer:

x = 0.75 and or x = -0.38

Step-by-step explanation:

If the minus sign after the x was on purpose or if you accidentally put the addition sign after the minus or the other way around basically I have no idea if the solution I provided is correct so here's the solution to both possible equations you might have meant to type instead (and if this was intentional then awesome):

1. 2x - 6x = -3 and 2. 2x + 6x = -3

Let's do 1. first!

[tex]2x-6x=-3[/tex]

Simplify 2x-6x to -4x

[tex]-4x=-3[/tex]

Divide each side by -4

[tex]x=\frac{-3}{-4}[/tex]

And as you know, two negatives equal/make a positive

[tex]x=\frac{3}{4}[/tex] or [tex]x=0.75[/tex]

Now! Let's solve for 2.

[tex]2x+6x=-3[/tex]

Simplify 2x+6x to 8x

[tex]8x=-3\\[/tex]

Divide both sides by 8

[tex]x=\frac{-3}{8}[/tex]

[tex]x=-\frac{3}{8}[/tex] or [tex]x=-0.375[/tex]

Answer: If replaced: 0.075 or 7.5%

If not replaced: 0.00455 or 0.455%

Step-by-step explanation:

If the diamonds are replaced after each draw:

The probability of drawing a real diamond is 9/12, found by making the numerator the number of real diamonds and adding the total number of diamonds to find the denominator. 3+9 = 12.

9/12 can be reduced to 3/4 by dividing the numerator and denominator by 3.

To find the probability of all 9 diamonds drawn being real, multiply 3/4 by itself 9 times. [tex]3^9[/tex] = 19683. [tex]4^9[/tex] = 262144. This creates a probability of 19683/262144. This cannot be reduced because there is no common factor. To express as a decimal, divide. 19683/262144 = 0.07508. To turn this into a percent, multiply by 100. 0.07508*100 = 7.508

If the diamonds are not replaced after each draw:

Start with the probability of drawing a single diamond: 9/12. After each draw, both the numerator and denominator have 1 subtracted from them, since there is 1 less real diamond and 1 less diamond in total. This will give you the equation (9/12)*(8/11)*(7/10)*(6/9)*(5/8)*(4/7)*(3/6)*(2/5)*(1/4). This equals 0.00455. To find as a percent, multiply by 100. 0.00455*100 = 0.455

Answer:

Step-by-step explanation:

let x be the number of the employees of the company ,a year ago.

the statement “today ,the company has 35% more employees than it did a year ago”

means  

[tex]x+\frac{35}{100} x=37800[/tex]

[tex]\Longrightarrow x\times \left( \frac{100}{100} +\frac{35}{100} \right) =37800[/tex]

[tex]\Longrightarrow x\times \left( \frac{135}{100} \right) =37800[/tex]

[tex]\Longrightarrow x=\frac{37800\times 100}{135}[/tex]

[tex]\Longrightarrow x =28000[/tex]

Answer:

B) addition property

Step-by-step explanation:

thinking that 3x - 30 - 0 should equal 0.

3x - 30 - 0 = 0

to get rid of numbers on side with variables, we have to add them to both sides (to make it 0 in side with variable.)

3x - 30 - 0 = 0

+30 +0 = +30 +0

3x = 30 <- step 4

Answer:

The answer is 24π because r=12

and c=2πr

=2×π×12

=24π

Answer:

1130,97

Step-by-step explanation:

Answer: no, because the corresponding congruent angles listed are not the included angles

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Did it on Edge

Answer:

f(x) ≈ −2.42x3 + 15.89x2 − 7.55x + 12

Step-by-step explanation:

Notice that the year data are evenly spaced. Check the first differences between the total number or units to see if the data set is linear.

First Differences

41 − 18 = 23

67 − 41 = 26

82 − 67 = 15

69 − 82 = −13

17 − 69 = −52

Because the first differences are not constant, a linear model is not the best model of the data. Check the second differences to see if the data set can be modeled by a quadratic function.

Second Differences

26 − 23 = 3

15 − 26 = −11

−13 − 15 = −28

−52 − (−13) = −39

Because the second differences of the independent variable are not constant, a quadratic model is not the best model of the data. Check the third differences to see if the data set can be modeled by a cubic function.

Third Differences

−11 − 3 = −14

−28 − (−11) = −17

−39 − (−28) = −11

The third differences are approximately the same so we will use a cubic function to represent the data.

Enter the data into a calculator. Plot the data and find the cubic regression equation that best models the data.

f(x) ≈ −2.42x3 + 15.89x2 − 7.55x + 12

Answer:

  y = 3^-x

Step-by-step explanation:

Reflecting a point across the y-axis changes the sign of the x-coordinate. The graph of a function y = f(x) will be reflected in the y-axis by replacing x with -x. The reflected function is y = f(-x).

__

The reflected function is ...

  y = 3^-x . . . . . . x has been replaced by -x

Answer:

32 cm.

Step-by-step explanation:

Lateral area = πrL

where r = radius of the base and L = the slant height.

The radius = 1/2 * diameter = 4.5 cm.

So from the values given:

144π =  π* 4.5 * L

4.5L = 144

L = 144/4.5

= 32 cm.

Answer: I don’t think there is such a line. A Line that passes through the point (3,-9) must have a positive slope, unlike the line y=-5x-2, which has a negative slope. If a line where to go through (3,-9), is would intersect the line you presented.

Answer:

1. -35

2. 316

Hope you can understand my handwriting!

Answer:

4.84$

Step-by-step explanation:

if it cost the same it gives you the awnser 4.84.

Answer:

2/300, or simplified: 1/150. Decimal: 0.006

Step-by-step explanation:

Answer:

Step-by-step explanation:

Ice sheets have one particularly special property. They allow us to go back in time and to sample accumulation, air temperature and air chemistry from another time[1]. Ice core records allow us to generate continuous reconstructions of past climate, going back at least 800,000 years[2].

Ice coring has been around since the 1950s. Ice cores have been drilled in ice sheets worldwide, but notably in Greenland[3] and Antarctica[4, 5]. High rates of snow accumulation provide excellent time resolution, and bubbles in the ice core preserve actual samples of the world’s ancient atmosphere[6].

Answer:

-6

Step-by-step explanation:

-15from both sides then divide the -24 from the left by 4 because you only need one x and your answer is x=-6

Answer:

27 hours

Step-by-step explanation:

We are given the information that it takes 6 hours for 20 workers to seed 40 acres. This means that with 20 workers the rate is 40 acres in 6 hours, or 40/6 = 6.67 acres per hour. When we only have 10 workers, we only have half as many people, therefore the rate will be twice as slow, so with 10 workers, the rate is 6.67/2 = 3.34 acres/hour.

To find how long it takes to seed 90 acres we just need to divide 90 by the rate. 90/3.34 = 27 hours.

Hope this helped!

Answer:

C

Step-by-step explanation:

I answered so you could give other person brainliest lol, also it is correct just finished the test and got it right!

Answer:

59.4

Step-by-step explanation:

Answer:

200.96 square feet

Step-by-step explanation:

SA = 2pi(r²) + 2pi(r)h

r = 2

pi = 3.14

h = 14

SA = 2(3.14)2² + 2(3.14)(2)14

SA = 6.28(4) + 6.28(2)14

SA = 25.12 + 175.84

SA = 200.96

The first trigonometric expression cot x and sin x in terms of the second expression is one over tan x and one over cosec x.

Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.

Write the first trigonometric expression in terms of the second expression.

The cotangent can be written as

[tex]\cot x= \dfrac{1}{\tan x}[/tex]

And the sine can be written as

[tex]\sin x = \dfrac{1}{\csc x}[/tex]

More about the trigonometry link is given below.

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Answer:

Volume: 203,594

Surface Area: 105,237

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

Let's start with surface area because it is a bit complex.

[tex]A = 5 ah + \frac{1}{2} \sqrt{5(5 + 2 \sqrt{5})}~a^2[/tex]

Now, we must break all of these factors into an equation.

remember, the height is 4, the base is 172

[tex]A = 5 * 172 * 4 + \frac{1}{2} * \sqrt{5 * (5 + 2 * \sqrt{5})} * 172^2[/tex]

[tex]A = \sf 1.05237 * 10^5 = 105,237[/tex]

So that should wrap things up for surface area, being 105,237

________________________________________________________

Now, we move on to the volume of this pentagonal prism.

[tex]A = \frac{1}{4} \sqrt{5(5 + 2 \sqrt{5})}~a^2h[/tex]

Similar to surface area, but different.

[tex]A = \frac{1}{4} * \sqrt{5 * (5 + 2 * \sqrt{5})} * 172^2 * 4[/tex]

And the result of this is...

[tex]A = \sf 2.03594 * 10^5[/tex]

Which is also equal to ⇒ 203,594

please let me know if this helped or was correct, I really spent a lot of time on this and would like to hear any good or bad feedback. Thanks!

The value of the quotient expression [tex]\sqrt[3]{60} \div \sqrt[3]{20}[/tex] is [tex]\sqrt[3]{3}[/tex]

The quotient of numbers or expressions is the division of a number or expression by another

The quotient expression is given as:

[tex]\sqrt[3]{60} \div \sqrt[3]{20}[/tex]

Write as a single expression by applying the law of indices

[tex]\sqrt[3]{60 \div 20}[/tex]

Divide 60 by 20

[tex]\sqrt[3]{3}[/tex]

Hence, the value of the quotient expression [tex]\sqrt[3]{60} \div \sqrt[3]{20}[/tex] is [tex]\sqrt[3]{3}[/tex]

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Answer:

A

Step-by-step explanation:

Endgenuity 2022

Answer:

x = 15,  45 degree angle

Step-by-step explanation:

2x + 15 and 6x - 45 adds up to 90 degrees

(2x + 15) + (6x - 45) = 90

combine like terms:

2x + 6x = 8x

15 + (-45) = -30

8x - 30 = 90

8x - 30 + 30 = 90 + 30

8x = 120

8x / 8 = 120 / 8

x = 15

2(15) + 15

30 + 15 = 45 degree angle

6(15) - 45

90 - 45 = 45

Answer:

x = 15.

Step-by-step explanation:

The figure is a square so opposite sides are congruent and parallel.

The 2 angles marked are interior alternate angles, so they are congruent.

Therefore:

2x + 15 = 6x - 45

15 + 45 = 6x - 2x

4x = 60

x = 15.

Answer:

Its B)

Step-by-step explanation:

I took it hopes this help