Use the figure to find the measures of the numbered angles.
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Answer:

x=8

Step-by-step explanation:

log4( x-6) +log4(x) = 2

We know that loga + log b = log (ab)

log4( x-6)(x) = 2

Raise each side to the base of 4

4^log4( x-6)(x) = 4^2

( x-6)(x) = 16

Distribute

x^2 -6x = 16

Subtract 16 from each side

x^2 -6x-16 = 0

Factor

(x-8) (x+2) =0

Using the zero product property

x-8=0      x+2 =0

x=8     x=-2

Checking, we cannot have the log of a negative number so -2 is not a solution

Answer:

x = 8

Step-by-step explanation:

log4(x - 6) + log4(x) = 2

log4[(x - 6) × x] = 2

x² - 6x = 4²

x² - 6x - 16 = 0

x² - 8x + 2x - 16 = 0

x(x - 8) + 2(x - 8) = 0

(x + 2)(x - 8) = 0

x = 8, -2

Log of negative numbers do not exist, so x is only 8

Answer:

146%

Step-by-step explanation:

[tex] percent~change = \dfrac{new~price - old~price}{old~price} \times 100% [/tex]

If the percent change is positive, it is a percent increase.

If the percent change is negative, it is a percent decrease.

Your numbers are

old price = $0.92

new price = $2.26

Plug in the numbers in the formula above and evaluate the expression.

percent change = ($2.26 - $0.92)/($0.92) * 100%

percent change = ($1.34)/($0.92) * 100%

percent change = 1.4565 * 100%

percent change = 146%

Since the percent change is a positive number, it is a percent increase.

Answer: The percent increase is 146%.

Answer:$42,000

Step-by-step explanation:

The total value of his large assets is $42,000.

Asset size is the total market value of the securities in a fund. It can also be referred to as assets under management.

Daniel has $5000 in a savings account, has $7000 in investments, owns a $10,000 car, and owns a $32,000 house.

The total value of his large assets is determined in the following steps given below.

[tex]\rm Large \ assest = House + Car\\\\ Large \ assest = 32000+10000\\\\ Large \ assest = 42000[/tex]

Hence, the total value of his large assets is $42,000.

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Answer:

AD, DA, ED, DE

Step-by-step explanation:

Answer:

-5772

Step-by-step explanation:

294-6066=-5772

Answer:

The answer would be 2,772

Step-by-step explanation:

6,066 - 294 = 2,272

I hope that helps!!:)

Answer:

3x =  - 18

Step-by-step explanation:

1. Simplify this equation in terms of what is already provided:

3x + 4 = 5x - 4x - 8 ⇒ 3x + 4 = x - 8

2. Now subtract 3x from either side, at the same time adding 8 to either side:   3x + 4 = x - 8 ⇒ 4 = -2x - 8 ⇒ 12 = -2x

3. Divide -2 on either side to isolate the x, and recieve it's value:

12 = -2x ⇒ x = 12/-2 ⇒ x = -6

4. The question demads for the value of 3x, so simply multiply the known value of x by 3, as such: x = -6 ⇒ 3x = -6 * 3 = -18

Answer:

What =98.4

Step-by-step explanation:

Of means multiply and is means equals

7.5% * What = 7.38

Change to decimal form

.075 * what = 7.38

Divide each side by .075

.075 What /.075 = 7.38/.075

What =98.4

Answer:

the answer for this question is 98.4

Answer:

its 7/10

Step-by-step explanation:

The probability of randomly selecting an item with white or red on it is 3/10.

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty.

A store display shows two red shirts, one blue shirt, and three shirts with red and white stripes.

The display also shows two pairs of blue jeans, one pair of white pants, and one pair of white shorts.

The probability of randomly selecting an item with white or red on it is given by;

[tex]\rm Probability=\dfrac{Total \ number \ of \ items}{Total \ red \ or \ white \ items}\\[/tex]

Total items =  2 + 1 + 3 + 2 + 1 + 1 = 10 itens.

Substitute all the values in the formula

[tex]\rm Probability=\dfrac{Total \ number \ of \ items}{Total \ red \ or \ white \ items}\\\\\rm Probability=\dfrac{3}{10}\\\\[/tex]

Hence, the probability of randomly selecting an item with white or red on it is 3/10.

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Answer:

D. 50

Step-by-step explanation:

130+x=180

x=50

Answer:

A dice of six faces has 5 numbers bigger than 1 (from 2 to 6).

Then, the number Peter is expecting is : 114 x (5/6) = 95 (times)

Hope this helps!

:)

Answer:

 The conclusion is that the researcher was correct

Step-by-step explanation:

From the question we are told that

     The sample size is  [tex]n = 13[/tex]

    The sample mean is  [tex]\= x = 9.63[/tex]

     The standard deviation is  [tex]s = 0.585[/tex]

      The significance level is  [tex]\alpha = 0.05[/tex]

The Null Hypothesis is  [tex]H_o : \mu = 0[/tex]

The Alternative  Hypothesis  is  [tex]H_a = \mu < 10[/tex]

The test statistic is  mathematically represented as

          [tex]t = \frac{\= x - \mu }{\frac{s}{\sqrt{n} } }[/tex]

Substituting values

          [tex]t = \frac{9.63 - 10 }{\frac{0.585}{\sqrt{13} } }[/tex]

         [tex]t = - 2.280[/tex]

Now the critical value for [tex]\alpha[/tex] is  

     [tex]t_{\alpha } = 1.645[/tex]

This obtained from the critical value table

  So comparing the critical value of alpha and the test value we see that the test value is less than the critical value so the Null Hypothesis is rejected

 The conclusion is that the researcher was correct

Answer:

Option C

Step-by-step explanation:

For a better, clear and unbiased sampling, choosing randomly might not allow for a biased sampling. Choosing in an alphabetical order might not give a representative of the whole hospitals both private and public, thus invigilator the conclusion of our hypothesis test.

Answer:

[tex](f*g)(x)=-42x^2-74x-24[/tex]

[tex](f*g)(-1)=8[/tex]

Step-by-step explanation:

[tex]f(x)=7x+3\\ g(x)=-6x-8[/tex]

[tex](f*g)(x)=(7x+3)(-6x-8)\\(f*g)(x)=-42x^2-56x-18x-24\\(f*g)(x)=-42x^2-74x-24[/tex]

Now;

[tex](f*g)(-1)=-42x^2-74x-24\\(f*g)(-1)=-42(-1)^2-74(-1)-24\\(f*g)(-1)=-42(1)+74-24\\(f*g)(-1)=-42+50\\(f*g)(-1)=8[/tex]

Answer:

17π

Step-by-step explanation:

Equation of a circle is:

(x − h)² + (y − k)² = r²

Area of a circle is:

A = πr²

r² = 17, so A = 17π.

Answer:

Step-by-step explanation:

We assume that "p" and "q" are given in dollars, so that the profit function (in thousands of dollars) can be written:

  P = xp +yq -C(x, y)

Profit will be maximized when the partial derivatives of P with respect to x and y are both zero:

  ∂P/∂x = p +x(∂p/∂x) +y(∂q/∂x) -∂C/∂x = 0

  (120 -3x +y) +x(-3) +y(1) -80 = 0

  -6x +2y +40 = 0

  3x -y = 20 . . . . put in standard form

and ...

  ∂P/∂y = x(∂p/∂y) +q +y(∂q/∂y) -∂C/∂y = 0

  x(1) +(210 +x -7y) +y(-7) -(130) = 0

  2x -14y +80 = 0

  x -7y = -40 . . . . put in standard form

__

The solution to these simultaneous equations can be found a variety of ways. Using Cramer's Rule, we have ...

  x = ((-1)(-40) -(-7)(20))/(-1·1-(-7)(3)) = 180/20 = 9

  y = (20(1) -(-40)(3))/20 = 140/20 = 7

9000 type A and 7000 type B earphones should be produced.

__

The corresponding selling prices are ...

  p = 120 -3(9) +7 = 100

  q = 210 +9 -7(7) = 170

The selling prices should be ...

  p = $100, q = $170

__

The maximum profit is ...

  P = xp +yq -C(x, y) = (9)(100) +(7)(170) -(110 +80(9) +130(7))

  P = 9(100 -180) +7(170 -130) -110 = 180 +280 -110

  P = 350

The maximum profit is $350,000.

Answer:

1080

Step-by-step explanation:

:)

Answer:

30

Step-by-step explanation:

55 - 25 = 30

Answer:

If you are looking for a simplified equation, then the answer is -6x + 17  

Step-by-step explanation:

(-3x + 15) + (-3x + 2)

Because you are only adding and subtracting here, you can take out the parentheses.

-3x + 15 -3x + 2

= -6x + 17  

Answer:

20 pizzas in total

bro now i want pizza

Step-by-step explanation:

16 pizzas = 80%

8 pizzas = 40%

4 pizzas = 20%

Kono Dio Da!!!

Answer:

P+m=21

1.5p + 3m < 45

p > 0

m > 0

Step-by-step explanation:

Answer:

300%

Step-by-step explanation:

3 times 250 is 750

If the price of the shoe yesterday was $200 and on this day 20 percent has been taken thus it will have $160. In the next 3 days if another 20 percent will be taken out from the previous $160 then the final answer is $128.

ps.. can u give brainly pls :3

Answer:

Total cost of covering the pedestal is $12.54.

Step-by-step explanation:

The pedestal is a square prism so top and bottom are of square shape.

Hence, we have here length = width

We know that the Total Surface Area of a Prism is:

[tex]\text{Total Surface Area = } 2 (l\times w+ w \times h+ h \times l)[/tex]

Where l is length,

w is width and

h is height of prism

We know that here w = l = 3 feet

and h = 4 feet

Also, underside of pedestal is not to be covered.

The underside of pedestal is square type.

So,

[tex]\text{Required Total Surface Area = } l\times w+ 2\times w \times h+2\times h \times l[/tex]

[tex]\Rightarrow 3 \times 3 + 2 \times 3 \times 4 + 2 \times 3 \times 4\\\Rightarrow 9 + 24 + 24\\\Rightarrow 57\ ft^{2}[/tex]

Cost of cover per square foot = $ 0.22

Total cost of [tex]57\ ft^{2}[/tex]  [tex]\Rightarrow 0.22 \times 0.57 = \$12.54[/tex]

Answer:

B.

Step-by-step explanation:

So, first off, the quadratic formula is -b plus or minus sqrt(b^2-4ac)/2a. Plug the equation given, and you get B.

Answer:

14

Step-by-step explanation:

7-5 = 2

4/2 = 2

2 x 7 = 14

Answer:

It would take 74.5 minutes for the element to decay 17 grams.

Step-by-step explanation:

The amount of element X after t minutes is given by the follwoing equation:

[tex]X(t) = X(0)e^{rt}[/tex]

In which X(0) is the initial amount of the substance and r is the decay rate.

Half life of 14 minutes.

This means that [tex]X(14) = 0.5X(0)[/tex]

So

[tex]X(t) = X(0)e^{rt}[/tex]

[tex]0.5X(0) = X(0)e^{14r}[/tex]

[tex]e^{14r} = 0.5[/tex]

[tex]\ln{e^{14r}} = \ln{0.5}[/tex]

[tex]14r = \ln{0.5}[/tex]

[tex]r = \frac{\ln{0.5}}{14}[/tex]

[tex]r = -0.0495[/tex]

So

[tex]X(t) = X(0)e^{-0.0495t}[/tex]

There are 680 grams of element X

This means that [tex]X(0) = 680[/tex]

[tex]X(t) = X(0)e^{-0.0495t}[/tex]

[tex]X(t) = 680e^{-0.0495t}[/tex]

How long would it take the element to decay 17 grams

This is t for which X(t) = 17. So

[tex]X(t) = 680e^{-0.0495t}[/tex]

[tex]17 = 680e^{-0.0495t}[/tex]

[tex]e^{-0.0495t} = \frac{17}{680}[/tex]

[tex]e^{-0.0495t} = 0.025[/tex]

[tex]\ln{e^{-0.0495t}} = \ln{0.025}[/tex]

[tex]-0.0495t = \ln{0.025}[/tex]

[tex]0.0495t = -\ln{0.025}[/tex]

[tex]t = -\frac{\ln{0.025}}{0.0495}[/tex]

[tex]t = 74.5[/tex]

It would take 74.5 minutes for the element to decay 17 grams.

Answer:

here is ur answer

Answer:

A) 16 cm

B) 50.24 cm

Step-by-step explanation:

Part A:

The diameter is double the radius

The radius is half of the diameter

To work out the diameter you would simply multiply the radius of 8 cm by 2, this gives you 16 cm. This is because the radius is half of the length of the diameter.

1) Multiply 8 by 2.

[tex]8*2=16 cm[/tex]

Part B:

The formula for the circumference of a circle is : [tex]\pi *diameter[/tex]

To work out the Circumference you would multiply the diameter of 16 cm by pi, this gives you 50.24 cm. This is because if you were to substitute the value of the diameter into the formula you would get the same result.

1) Multiply pi by 16.

[tex]\pi*16=50.24[/tex]

Pi in this case is 3.14

Answer:

its C

Step-by-step explanation:

Hope this helps!!

Answer:

B. Week 6

Step-by-step explanation:

[tex]f(x) = 2^{x}[/tex]

We know that f(x) represents number of subscribers, x represents week number. So plug in 64 for f(x).

[tex]64 = 2^{x}[/tex]

Uh-oh, how do we solve this? We need to go from exponential form to logarithmic form.

[tex]64 = 2^{x}[/tex]

log₂(64) = x

We're basically asking the question: 2 to the what equals 64? And we can plug this into the calculator as log₂(64) (on TI-84, it's MATH->logBASE(). Or you can just think about it:

2 x 2 x 2 x 2 x 2 x 2 = 64.

There are 6 2s, so 6 is the answer.