4z-10=14 *
I can’t get the answer please help

First note that log(x) is defined only for x > 0; log(x + 3) for x > -3; and log(x - 1) for x > 1. So if we find any solutions x ≤ 1, these will be extraneous.

Condense the right side:

log(x) = log((x + 3) / (x - 1))

Let b be the base of the logarithm. Then writing both sides as powers of this b simplifies the equation to

b^log(x) = b^log((x + 3) / (x - 1))

x = (x + 3) / (x - 1)

Solve for x :

x (x - 1) = x + 3

x ² - x = x + 3

x ² - 2x - 3 = 0

(x - 3) (x + 1) = 0

x - 3 = 0   or   x + 1 = 0

x = 3   or   x = -1

We throw out x = -1 because it's less than 1, so the only (real) solution is x = 3.

Please find attached photograph for your answer.

Step-by-step explanation:

a line is 180°

180-90 (given) = 90

so the two angles x and 2x added together equal 90

2x + x = 90

3x = 90

x = 30

the angles are 30 and 2(30)= 60

Answer

37

Step by Step explanation

replace x with -7

which gives

-(-7)^2-10(-7)+16

= 37

Answer:

1/8

Step-by-step explanation:

If you have 1/2 a liter, you divide it by the four siblings, and 1/2 divided by 4 is 1/8 or 0.125

You could also say that each sibling gets 1/4 of whats left.

The equation for the value of 'a" is 2A/p

The subject of formula is a way of representing a variable as a function of another.

Given the expression

A = 1/2 ap

We are to make a the subject of the formula

A = ap/2

Cross multiply

2A = ap

Divide both sides by p

2A/p = a

a = 2A/p

Hence the equation for the value of 'a" is 2A/p

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The answer of the given question based on the equation is , the unknown number is 6.

An equation is the  mathematical statement that asserts equality of the two expressions. It typically consists of the two expressions separated by equal sign " = ". The expressions can include variables, constants, and mathematical operations like addition, subtraction, multiplication, division, and exponentiation. Solving an equation involves finding the value(s) of the variable(s) that make the equation true.

The statement can be translated into an equation as follows:

2(y - 2) = 8

Simplifying the equation, we can distribute the 2 on the left-hand side:

2y - 4 = 8

Then, we can add 4 to both sides to isolate the variable:

2y = 12

Finally, we divide both sides by 2 to solve for y:

y = 6

Therefore, the unknown number is 6.

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The set of pairs for which x and y vary inversely is given as follows:

{(-1, -2/7), (4, 1/14), (6, 1/21)}

A proportional relationship is defined as follows:

y = kx.

In which k is the constant of proportionality.

For an inverse relation, the relation is modeled as follows:

y = k/x.

Meaning that when x increases, y decreases at a constant rate.

The constant is then given as follows:

k = yx.

Hence the third relation is then the relation for which x and y vary inversely, as:

k = -1 x -2/7 = 4 x 1/14 = 6 x 1/21.

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The angle between the sides measuring 4 and 5 in the obtuse triangle is approximately 101.54 degrees.

To find the measure of the angle between the sides measuring 4 and 5 in an obtuse triangle with side lengths 4, 5, and 7, we can use the Law of Cosines. The Law of Cosines states that in a triangle with side lengths a, b, and c, and an angle opposite to side c, the following equation holds:

\(c^2 = a^2 + b^2 - 2ab*cos(C)\)

In this case, we have side lengths a = 4, b = 5, and c = 7. We want to find the angle C, which is opposite to side c. Substituting these values into the Law of Cosines, we get:

\(7^2 = 4^2 + 5^2\)- 2(4)(5)*cos(C)

49 = 16 + 25 - 40*cos(C)

49 = 41 - 40*cos(C)

40*cos(C) = 41 - 49

40*cos(C) = -8

cos(C) = -8/40

cos(C) = -0.2

To find the measure of angle C, we can take the inverse cosine (arccos) of -0.2:

C = arccos(-0.2)

Using a calculator, we find that C ≈ 101.54 degrees.

Therefore, the measure of the angle between the sides measuring 4 and 5 in the obtuse triangle is approximately 101.54 degrees.

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Answer:

The numbers less that 40 which have sum of digits 8 are 17, 26, 35.

Only one of those that has a factor of 7. And that is 35.

So you are 35.

Second way:

The numbers less that 40 which have a factor of 7 are 7,14,21,28,35

Only one of those which has sum of digits as 8. And that is 35.

So you are 35.

Step-by-step explanation:

The correct options regarding the statistical measures in this problem are given as follows:

3. The IQR remains a 2.

7. Mean 84º.

To find the quartiles, we need to consider the median, which is the middle value of a data-set, hence:

For question 3, adding the shoe size of 8, the ordered data-set is given by:

5, 5.5, 6, 6.5, 6.5, 7, 7.5, 8, 8, 8, 8.5.

Hence:

Hence the IQR is given by:

IQR = 8 - 6 = 2.

Thus the correct option is:

The IQR remains a 2.

For question 7, the second lowest value would remain the second highest value. The only measure that considers all the values to be calculated is the mean, hence the correct option is:

Mean 84º.

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Answer:

Step-by-step explanation:

Question

N

m

4

5

4

U

-

3-

Cu v

-5-4-3-2-1

2

-2

1 w

60

r

2345x

What is the domain of the function on the graph?

O all real numbers

O all real numbers greater than or equal to-2

O all real numbers greater than or equal to-5

O all real numbers greater than or equal to 0

Help please

Answer:

1, 2 and 3

Step-by-step explanation:

substitute the values from the set into the inequality and check validity.

n = 1

1 + 2 < 6

3 < 6 ← True

n = 2

2 + 2 < 6

4 < 6 ← True

n = 3

3 + 2 < 6

5 < 6 ← True

n = 4

4 + 2 < 6

6 < 6 ← False

n = 5

5 + 2 < 6

7 < 6 ← False

the values 1, 2 and 3 from the set make the inequality true

Answer:

x = -7

Step-by-step explanation:

Isolate x by adding 10 to both sides:

-17 = -10 + x

-7 = x

So, x = -7

Answer:

9a - 18

Step-by-step explanation:

3a + 6a - 27 +9

→ gather like terms

(3a + 6a) + (-27 +9)

→ collect coefficients of like terms

(3 + 6) × a + (-27 +9)

→ calculate the sum/difference

9a + (-27 +9)

→ calculate the sum/difference (again)

9a - 18

Answer: 9a - 18

hope this helps!

8×5×5×5×5×5×5×5÷5÷5÷5÷÷5÷5252525÷2221

Answer:-8X-104=6X-14

Step-by-step explanation:

Answer:

I have no clue my bad bro.

Explanation:

Surface area of a cone = pi*r^2 + pi*r*sqrt(r^2+h^2)

r = radius

h = height of cone

In this case,

r = 8 is the radius

h = 41

So,

SA = surface area

SA = pi*r^2 + pi*r*sqrt(r^2+h^2)

SA = pi*8^2 + pi*8*sqrt(8^2+41^2)

SA = 1250.936884057 use a calculator for this step

SA = 1251 square meters approximately

Answer:

I think is sometimes

Step-by-step explanation:

Answer:

The answer is always

Answer: x=9

Step-by-step explanation:

To get the answer, just divide, but you must not count in the rows that have less or more than 42 projects. 405/42=xThere are 9 rows that have exactly 42 projects because 42 x 9 = 378, which is the closest we can get to 405. 

Answer:

Step-by-step explanation:

The angles are equal to each other (vertical angles)

Hence:

9y + 7 = 2y + 98

9y - 2y = 98 - 7 (Minus both sides by 2y and 7)

7y = 91 (Simplify)

y = 13 (Divide both sides by 7)

Answer:

D. The function approaches 1 as x approaches -infinity and infinity

Step-by-step explanation:

Step 1: Divide numerator and denominator by \(x^2\):

\(\frac{x^2-4}{x^2-9}=\frac{1-\frac{4}{x^2}}{1-\frac{9}{x^2}}\)

Step 2: Notice that as x gets closer to infinity or negative infinity, x^2 gets closer to infinity, meaning that the expression approaches 1/1 =1

Answer: 0.02655

Step-by-step explanation:

Explanation: The formula for finding the probability of no successes in a binomial experiment is given by (1 - p)^n, where p is the probability of success in a single trial and n is the number of trials. In this case, p = 0.30 and n = 6. So, the probability of no successes is (1 - 0.30)^6 = 0.02655.

Thanh's cost per month (four weeks) will be $300.00.The given fixed rate for Thanh is $49.00 per week. Thanh also pays $14.00 per week for the optional insurance and $12.00 weekly on gas.

To find Thanh's cost per month (four weeks), we need to multiply his weekly cost by 4.We can use the formula below to calculate Thanh's monthly cost.

Total weekly cost = Fixed rate + Insurance cost + Gas cost

Total weekly cost = $49.00 + $14.00 + $12.00

Total weekly cost = $75.00

The cost for Thanh per month (four weeks) = Total weekly cost × 4

Cost for Thanh per month (four weeks) = $75.00 × 4

Cost for Thanh per month (four weeks) = $300.00

Therefore, Thanh's cost per month (four weeks) will be $300.00.

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Answer:

Below

Step-by-step explanation:

I'll do the first one....you can then do the second one

-4x-2y = -12

4x+8y = -24       add these two equations together ( this will eliminate 'x')

    6y = -36

       y = - 6      use this value in either equation to compute x = 6

HINT: On the next one....multiply either equation by -1    then add together

Answer: 154cm

Step-by-step explanation:

10% of 140 is 14

add that 10% to get 154

Answer:

60 small and 140 large = 60 + 280 = 340 this is correct!

Step-by-step explanation:

I guess we just use the process of eleimation.

50 small and 150 Large = 50+300 = 350 so that's not right.

130 small and 70 large = 130 + 140 = 270 so, that's not right.

120 small and 80 large = 120 + 160 = 280 so, that's not right.

60 small and 140 large = 60 + 280 = 340 this is correct!

Answer:

Step-by-step explanation:

2, i would eat there sometimes!

Answer:

3. I would eat there rarely.

Step-by-step explanation:

Please give brainliest!!!

Answer:

\(\dfrac{1}{2}\)

Answer:

1/2 is the answer, i hope it helps