1 Which of the following statements is true?​

Step-by-step explanation:

[tex]a) \\ log_{x}(15) \\ = log_{x}(3 \times 5) \\ = log_{x}3 + log_{x}5 \\ = 1.5 + 1.8 \\ = 3.3[/tex]

[tex]b) \\ log_{x}(2) \\ = log_{x}(\frac{10}{5}) \\ = log_{x}10 - log_{x}5 \\ = 3 - 1.8\\

= 1.2[/tex]

[tex]e) \\ log_{x}(150) \\ = log_{x}(3 \times 5\times 10) \\ = log_{x}3 + log_{x}5+ log_{x}10 \\ = 1.5 + 1.8 + 3\\ = 6.3[/tex]

[tex]f) \\ log_{x}(250) \\ = log_{x}( 5^2 \times 10) \\ = log_{x}5^2 + log_{x}10 \\

= 2log_{x}5 + log_{x}10 \\

= 2\times 1.8 + 3\\

= 3.6 + 3\\

= 6.6[/tex]

Answer:

[tex]\log _x\left(6\right)[/tex]

[tex]$\frac{\text{log}(6)}{\text{log}(x)} =\frac{\text{log}(3)}{\text{log}x)}+\frac{\text{log}(3)}{\text{log}(x)}=\frac{1.5}{\text{log}(x)}+\frac{1.5}{\text{log}(x)}=\frac{3}{\log _{10}\left(x\right)}$[/tex]

Answer:

C

Step-by-step explanation:

Answer:

9) not factorable

10) not factorable

Step-by-step explanation:

that's probably why you were having a hard time (-_-)

The 24 inch shelve is 2 feet ( 1 foot = 12 inches)

She bout 7 feet of shelves (5 + 2 = 7)

The total cost for the shelves was 7 x 1.25 = $8.75

She spend an additional 90 so her total spent was 90 + 8.75 = $98.75

Now subtract her total from 100 to find the amount of change:

100 - 98.75 = 1.25

The change was $1.25

Answer:

B

Step-by-step explanation:

The volume (V) of a sphere is calculated as

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

V = [tex]\frac{4}{3}[/tex]π × 21³

   = [tex]\frac{4}{3}[/tex]π ×9261 = [tex]\frac{4(9261)}{3}[/tex]π = 12348π units³ → B

Answer: B: 12,348π units³ which is 38,772.72 units³

Step-by-step explanation:

The formula of the volume of a sphere is V = [tex]\frac{4}{3}[/tex]πr³

Since we know that the radius is 21, we can fill in the given numbers:

V =  [tex]\frac{4}{3}[/tex]π(21)³

Now, the new formula is V =  [tex]\frac{4}{3}[/tex]π(9,261) = 38,772.72

Answer:

Arithmetic.

Step-by-step explanation:

See if it's arithmetic:

2/3 - 1/3 = 1/3

1  - 2/3 = 1/3

4/3 - 1 = 1/3

-  common difference of 1/3 so it's arithmetic.

The measure of angle BCD in circle A is 74°.

A circle is the locus of a point such that its distance from a fixed point is constant.

From the circle:

BC = CD (tangents that meet at the same point are equal)

But ∠ABC = 90° (angle between tangent and radius)

In triangle ABC:

∠ABC + ∠BCA + ∠BAC = 180 (triangle)

90 + ∠BCA + 53 = 180

∠BCA = 37°

Hence:

∠BCA = ∠ACD = 37°

angle BCD = ∠BCA + ∠ACD = 37 + 37 = 74°

The measure of angle BCD in circle A is 74°.

Find out more on circle at: https://brainly.com/question/24375372

Answer:

C.(-3, -3) and (-3,3)

Step-by-step explanation:

When we have a vertical line the slope is undefined.

That means the x values stay the same

C.(-3, -3) and (-3,3)

This has the same x values

m = (y2-y1)/(x2-x1)

   =( 3- -3)/(-3 - -3)

   (3+3)/(-3+3)

   6/0

  undefined

Answer: C

Step-by-step explanation:

Answer:

Denote the length is a, then the width is a - 8.

The perimeter is more than 184:

=> 2 x ( a + a - 8) > 184

=> 2a - 8 > 92

=> 2a > 100

=> a > 50

=> a = 51

=> Minimum dimension for the length: a = 51

Hope this helps!

:)

Answer:

Not 100 percent sure but i think the correct answer is the last one.

Step-by-step explanation:

I know that the answer is either the last one or before the last because they are dependent on each other. This is because the probability of both increases when they are added together. The more you have the more likely to get one of them. I went for the last one because i think that the value of together is greater than when they are added.

Again, not 100 percent sure, tried to give it my best shot.

Hope this helps.

Answer:

A) dependent, because the product of P(blue) and P(green) does not equal P(blue and green)

Step-by-step explanation:

Just did it on edge 2020

Answer:

2

Step-by-step explanation:

multiplier of 2..

-------

Answer:

Which is the rate of change for the interval between 3 and 6 on the x-axis?

Step-by-step explanation:

c- 2

Answer:

3*3*3*3

Step-by-step explanation:

3^4

The exponent means how many times the base is multiplied

3*3*3*3

Answer:

No real number solutions.

Step-by-step explanation:

Given a quadratic equation in standard form

ax² + bx + c = 0 ( a ≠ 0 )

The discriminant is b² - 4ac

• If b² - 4ac > 0 the equation has 2 real and distinct roots

• If b² - 4ac = 0 the equation has 2 real and equal roots

• If b² - 4ac < 0 the equation has no real roots

Given

2x² + 4x + 8 = 0 ← in standard form

with a = 2, b = 4 and c = 8, then

b² - 4ac = 4² - (4 × 2 × 8) = 16 - 64 = - 48 , thus

The equation has no real number solutions because the discriminant is < 0

Answer:

It's c

Step-by-step explanation:

Answer:

for the girl, the probability is 1/8 or one out of 8. And, for the boy, it is one out of 9 or 1/9. Do you need to find one probability rate for both of them or one for each kid?

Step-by-step explanation:

Answer:

160

Step-by-step explanation:

60-24=36 left

24 x 8 = 192

36/2=18

9 x 12 =108

108+192=300

300-140= 160 euros profit

Answer:

No.

Step-by-step explanation:

Since there is a 1 in the tenths place for 0.1, and nothing in the tenths place for 0.02, 0.1 is greater.

The decimal number 0.1 is greater than 0.02. Therefore, the given statement is false.

The given decimal numbers are 0.02 and 0.1.

Similar to comparing other whole numbers, while comparing decimals, one should start with the digits with the highest place value. We first create a place value table with the supplied decimal numbers before starting the comparison. If the digits on the biggest place value match, we go to the digits in the next place to the right. We keep comparing digits until we reach the ones that are different.

Here, 0.1 is greater than 0.02.

Therefore, the given statement is false.

To learn more about the comparison of decimals visit:

https://brainly.com/question/18270620.

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Answer:

When dividing two values with the same base, we simply subtract the first exponent by the second and keep the original base. 3^3-6=3^-3. This equals out to be 1/27.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The range is the largest number minus the smallest number.

Hope this helps!

Look at the attached picture

Hope it will help you

Answer:

3 inches by 5 inches.

Step-by-step explanation:

The scale factor is 3 so the original lengths are 1/3 of the enlarged , so the answer is 9/3 by 15/3

= 3 by 5.

The dimensions of the original picture is 3in by 5in

Let the original dimension of the drawing be x in by y in

If the dimension of the enlarged picture is 9 inches by 15 inches after using a scale factor of 3, then;

x = 9/3  = 3in

y = 15/3 = 5in

Hence the dimensions of the original picture is 3in by 5in

Learn more on scale factors here: https://brainly.com/question/10253650

Answer:

b

Step-by-step explanation:

20, the coefficient of this expression, is being divided by x, the variable. Therefore, the correct answer is b, division. Hope this helps!

Answer:

Division

Step-by-step explanation:

/ symbol mean division

Answer:

8

Step-by-step explanation:

7 - -1

When we subtract a negative, it is like adding

7+1

8

Answer:

Letters O and E have lines of symmetry ! Vertically & horizontally

Answer:

$607

Step-by-step explanation:

25% = 0.25

0.25*2428 = 607

Answer:y=-3

Step-by-step explanation:5(y+2/5)=-13

so first you simplify both sides of the equation

(5)(y)+(5)(2/5)=-13

then you distribute

5y+2=-13

then you subtract 2 from both sides

5y+2-2=-13-2

5y=-15

then u divide both side by 5

5y=-15

5       5

y=-3

Answer:

The proportion of exam scores that are lower than Irina's score is 0.9938

Step-by-step explanation:

Data

z-score is computed as follows:

z = (x - mean)/sd

z = (95 - 80)/6 = 2.5

We want to find:

P(z < 2.5)

From the table attached:

P(z < 2.5) = 0.9938

Answer: 0.9938

Step-by-step explanation:

Answer:

-47

Step-by-step explanation:

-7+(-40)=

-7-40=

-47

Hope this helps!

The sum of -7 + (-40) is -47.

Combining objects and counting them as one big group is done through addition. In arithmetic, addition is the process of adding two or more integers together. Addends are the numbers that are added, and the sum refers to the outcome of the operation.

Given:

An expression,

-7 + (-40).

To find the sum:

-7 + (-40),

Simplifying,

-7 - 40

= -47.

Therefore, the value is -47.

To learn more about the addition;

brainly.com/question/29464370

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