Write the expression in exponential form.log bM = y

Answer:

x=-7, y= -20

Step-by-step explanation:

2x - y =6

x - y = 13

when I subract (x-y =13 ) from (2x-y =6)

2x -y =6

-x +y=-13

______________

x = -7

substitute x=-7 in the second equation

-7 - y =13

-y = 13 +7

-Y = 20

Y=-20

x=-7, y= -20

Answer:

x= -7/6

y= -25/3

Step-by-step explanation:

2x-y =6

4 x-y =13

Firstly, 4x-y=13(-)  =>> - 4x+y=-13

Then we make the sum and result 6x= -7. Result x= -7/6.

We need to find y. So:  

-y= 6-2x =>>  y= -6 +2x =>> y= -6 +2*(-7/6) =>> y= -6-7/3 =>> y=(-18-7)/3 =>>y= -25/3

Answer:

C

Step-by-step explanation:

 2

+2

-----

 4

The average response time for the ambulance company is 13 minutes, with 95% of response times falling between 10 and 16 minutes.

The response times for a specific ambulance company follow a normal distribution with a mean of 13 minutes. This means that the majority of response times will cluster around the average of 13 minutes.

Furthermore, we know that 95% of the response times fall within the range of 10 to 16 minutes. This suggests that the response times are relatively consistent, with only a small percentage of outliers falling outside this range.

In summary, the average response time for this ambulance company is 13 minutes, and 95% of their response times fall between 10 and 16 minutes.

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Answer:

Factor, in mathematics, a number or algebraic expression that divides another number or expression evenly—i.e., with no remainder. For example, 3 and 6 are factors of 12 because 12 ÷ 3 = 4 exactly and 12 ÷ 6 = 2 exactly. The other factors of 12 are 1, 2, 4, and 12.

Step-by-step explanation:

Factor, in mathematics, a number or algebraic expression that divides another number or expression evenly—i.e., with no remainder. For example, 3 and 6 are factors of 12 because 12 ÷ 3 = 4 exactly and 12 ÷ 6 = 2 exactly. The other factors of 12 are 1, 2, 4, and 12.

Answer:

Option b. - 16 + ( -7 )

Explanation :

Given expression : -16 - 7

Required Option : - 16 + ( -7 )

Answer:

  $0.49 per soda

Step-by-step explanation:

The cost per soda is found by dividing the cost by the number of sodas.

__

  $5.86/(12 sodas) = $0.48833.../soda ≈ $0.49/soda

The unit rate is $0.49 per soda.

The expected number of coupons that will be redeemed is 0.96.

Given data:

To find the expected number of coupons that will be redeemed, multiply the probability of redemption for a single coupon by the number of coupons distributed.

Given that 16% of $10-off coupons delivered by mail are redeemed, the probability of redemption for a single coupon is 0.16.

Since six customers are randomly selected and mailed coupons, the number of coupons distributed is 6.

Therefore, the expected number of coupons that will be redeemed is:

Expected number of redeemed coupons = Probability of redemption * Number of coupons distributed

= 0.16 * 6

= 0.96

Hence, the expected number of coupons is 0.96.

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The value of n can be determined by finding the number of visible arcs in the pattern, which is 30 in this case.

To determine the value of n, we need to find the relationship between the total length of visible areas and the number of circles (n).

In the given pattern, each circle contributes to the visible area twice: once as its circumference and once as the overlapping part with the adjacent circles. Since the circumference of each circle is 1 unit, the visible area contributed by each circle is 2 units.

Therefore, the total length of visible areas can be expressed as 2n. Given that the total length is 60 units, we can set up the equation:

2n = 60

Solving this equation, we find:

n = 60/2 = 30

Thus, the value of n is 30.

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The most likely number of people who visited the library zero times last summer based on Amy's survey is 632 people

To find the number of people who were most likely not to visit the library, you need to find the percentage of people who did not visit the library from Amy's survey.

Percentage of males:                                           Percentage of females:

= 14 / 25                                                                 = 17 / 25

= 56%                                                                     = 68%

From the population of 1,000, the males and females who went to the library zero times would be:

Number of males:                                           Percentage of females:

= 56 % x 400                                                  = 68 % x 600

= 224 males                                                    = 408 females

Total number of people :

= 224 + 408

= 632 people

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The quantity of food that would be needed to feed all the cubs for one year is 1825 kg

From the question, we are to determine how much food would be needed to feed all the cubs for one year

From the given information,

"Each cub eats 1.25 kg of food a day"

Assume there are 365 days in a year.

Since there are 4 cubs,

The quantity of food that would feed the cubs for one year = 365 × 4 × 1.25

The quantity of food that would feed the cubs for one year = 1825 kg

Hence, the quantity of food needed is 1825 kg

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a) The double-declining-balance rate is 0.5 or 50%.

b) The double-declining-balance depreciation for the first year is $53800.

What is depreciation?

Depreciation is an accounting procedure that allows a business to distribute an asset's cost over the course of its useful life. In other words, it keeps track of how an asset's value decreases over time. In order to better align an asset's productivity in use to its operating costs over time, businesses depreciate assets on their financial statements and for tax purposes.

The formula of the double-declining-balance rate is 2 × (1/useful life)

Given that the building acquired at the beginning of the year at a cost of $107,600 has an estimated residual value of $4,300 and an estimated useful life of 4 years.

The double-declining-balance rate is

= 2 × (1/4)

= 0.5

= 50%

The double-declining-balance depreciation for the first year is

$107,600 ×  50%

= $107,600 × (1/2)

= $53800

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Answer:

8.2

Step-by-step explanation:

Hope it helps :)

\(x + 4y = 9 \\

-x - 2y = 3 \\ eliminate \: one \: variable \: by \\ adding \: the \: equations \\ 2y = 12 \\ divide \: both \: sides \\ y = 6 \\ substitute \: the \: value \: of \: y \\ \: into \: equation \: ...2 \\ - x - 2(6) = 3 \\ solve \: the \: equation \\ - x - 12 = 3 \\ - x = 3 + 12 \\ - x = 15 \\ x = - 15 \\ SOLUTION \\ x = - 15 \\ y = 6 \\ Hope \: it \: helps :)\)

Answer:

a) By the Central Limit Theorem, it has an approximately normal shape, with mean(center) 0.9 and standard deviation(spread) 0.035.

b) Average numbers of children between 0.83 and 0.97 are reasonably likely in the sample.

c) 0.0021 = 0.21% probability that the average number of children per family in the sample will be 0.8 or less

d) 0.9958 = 99.58% probability that the average number of children per family in the sample will be between 0.8 and 1.0

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean 0.9 and standard deviation 1.1.

This means that \(\mu = 0.9, \sigma = 1.1\)

Suppose a television network selects a random sample of 1000 families in the United States for a survey on TV viewing habits.

This means that \(n = 1000, s = \frac{1.1}{\sqrt{1000}} = 0.035\)

a. Describe (as shape, center and spread) the sampling distribution of the possible values of the average number of children per family.

By the Central Limit Theorem, it has an approximately normal shape, with mean(center) 0.9 and standard deviation(spread) 0.035.

b. What average numbers of children are reasonably likely in the sample?

By the Empirical Rule, 95% of the sample is within 2 standard deviations of the mean, so:

0.9 - 2*0.035 = 0.83

0.9 + 2*0.035 =  0.97

Average numbers of children between 0.83 and 0.97 are reasonably likely in the sample.

c. What is the probability that the average number of children per family in the sample will be 0.8 or less?

This is the p-value of Z when X = 0.8. So

\(Z = \frac{X - \mu}{\sigma}\)

By the Central Limit Theorem

\(Z = \frac{X - \mu}{s}\)

\(Z = \frac{0.8 - 0.9}{0.035}\)

\(Z = -2.86\)

\(Z = -2.86\) has a p-value of 0.0021

0.0021 = 0.21% probability that the average number of children per family in the sample will be 0.8 or less.

d. What is the probability that the average number of children per family in the sample will be between 0.8 and 1.0?

p-value of Z when X = 1 subtracted by the p-value of Z when X = 0.8.

X = 1

\(Z = \frac{X - \mu}{s}\)

\(Z = \frac{1 - 0.9}{0.035}\)

\(Z = 2.86\)

\(Z = 2.86\) has a p-value of 0.9979

X = 0.8

\(Z = \frac{X - \mu}{s}\)

\(Z = \frac{0.8 - 0.9}{0.035}\)

\(Z = -2.86\)

\(Z = -2.86\) has a p-value of 0.0021

0.9979 - 0.0021 = 0.9958

0.9958 = 99.58% probability that the average number of children per family in the sample will be between 0.8 and 1.0

Answer:

f(-7) = -19

Step-by-step explanation:

Let us solve the problem

∵ f(x) = 2x - 5

∵ g(x) = -3x - 1

∵ h(x) = 2x² + x - 7

→ We need to find f(-7), that means substitute x in f(x) by -7

∵ x in f(x) = -7

∵ f(x) = 2x - 5

∴ f(-7) = 2(-7) - 5

→ Calculate 2 × (-7)

∴ f(-7) = -14 - 5

→ Add them

∴ f(-7) = -19

Answer:

Step-by-step explanation:

it's asking what is the y out put.. if you added  the green line with the red line at the input of 2.    I feel like graph math ever clearly states what they want you to understand or give an answer to. you are just supposed to "get it" and most people don't just "get it".   anyway..  so add  the red lines y value at the x of 2 with the green lines y value at 2

0+2 =2

I also feel like the answer to made to totally confuse people too.   b/c of how how when you input a 2 and add the two graphs, you also get a 2 , it's just circular and confusing.

2 is the answer BTW  :p

Answer:

\(y=30\sqrt{2}\)

Step-by-step explanation:

\(In\)Δ\(ABC\)

\(tan45=AB/BC\)

\(1=30/BC\)            \([tan45=1]\)

\(-------\\BC=30 \\-------\)     ⇒   \(OC=30\\\)

\(and\) \(In\) Δ\(ABC\)

\(Cos45=Bc/AC\)  

\(1/\sqrt{2} =x/y\)

\(y=\sqrt{2}*x\)

\(y=30\sqrt{2}\)

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

hope it helps....

have a great day!!

Answer:

$29.01

Step-by-step explanation:

According to my calculations, an item with an original price tag of $82.88 that is marked down by 35% will have a sales price of $53.87 -- a savings of $29.01.

(1 - (30 / 100)) * $30.00

Sale Price = (1 - 0.30) * $30.00

Sale Price = 0.70 * $30.00

Sale Price = $21.00

Answer:

86 feet i think

Step-by-step explanation:

Answer:

\(b=3\)

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation.

\(2*(b+3)-(12)=0\)

Then solve!

The probability that both events occur is 0.06.

The probability that both events occur is calculated as follows;

P(A and B) = P(A) x P(B)

The probability of event A is;

P(A) = number of outcomes / total number of outcomes

P(A) = 2/6

P(A) = 1/3

The probability of event B is;

P(B) = number of outcomes / total number of outcomes

P(B) = 1/6

The probability of both events is;

P(A and B) = P(A) x P(B)

P(A and B) = (1/3) x (1/6)

P(A and B) = 1/18 = 0.06

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Answer:

13.6

Step-by-step explanation:

4 × 3.40 = 13.6

I hope I have helped

\( \sqrt{8} + \sqrt{11} \\ = 2.8 + 3.3 \: (approximately) \\ = 6.1\)

Answer:

1.58 ish

Step-by-step explanation:

For a logx y = z, x^z = y
So here, log4 9= 1.58 or so
1.5849625007

Answer:

To translate triangle ABC 3 units up, we need to add 3 to the y-coordinate of each vertex:

A' = (-3, 3 + 3) = (-3, 6)

B' = (0, 7 + 3) = (0, 10)

C' = (-3, 0 + 3) = (-3, 3)

Therefore, the coordinates of the vertices for the image triangle A'B'C' are A'(-3, 6), B'(0, 10), and C'(-3, 3).

So the correct answer is: A′(−3, 6), B′(0, 10), C′(−3, 3).