Brandon discovered that his daily routine of buying a slice of pizza and a soda at lunch was costing him more than 18,000​$ per year.

A. This statement does not make sense because this would mean that a slice of pizza and a soda costs him about 5​$ a day.
B This statement makes sense because this would mean that a slice of pizza and a soda costs him about ​5$
C.
This statement makes sense because this would mean that a slice of pizza and a soda costs him about ​49$ a day.
D.
This statement does not make sense because this would mean that a slice of pizza and a soda costs him about ​49$ a day.

9514 1404 393

Answer:

  6/(2+k)

Step-by-step explanation:

The change of base formula is ...

  [tex]\log_a(b)=\dfrac{\log(b)}{\log(a)}[/tex]

Using this, we can take the logarithm base 2 in the change of base formula for the given expression.

  [tex]\log_{20}(64)=\dfrac{\log_2(64)}{\log_2(20)}=\dfrac{\log_2(2^6)}{\log_2(2^2\cdot5)}\\\\=\dfrac{6}{\log_2(2^2)+\log_2(5)}=\boxed{\dfrac{6}{2+k}}[/tex]

__

In addition to the change of base formula, the usual rules of logarithms apply.

  [tex]a^b=m\ \longleftrightarrow \ \log_a(m)=b\\\log(ab)=\log(a)+\log(b)[/tex]

Answer:

x<100 and look at picture

Step-by-step explanation:

x-19<81

+19  +19

x<100

+100 on number line, opened line to the left

X<100

Step-by-step explanation:

x-19<18

+19   +19

x<100

+100 on number line, opened line to the left

360 / 5 = 72

Sorry the first answer was wrong

Answer:

8/√2 + 2√50​

8√2/2 + 2√50

4√2 + 10√2

14√2

Answer:

8 miles he will walk in 2 hours

Step-by-step explanation:

This is because there are four 15 minute sets in one hour meaning in two hours you will encounter 8 of these sets.

Answer:

8 miles

Step-by-step explanation:

we can get the answer using the distributive property, if we multiply 4 by 15 we get 60 and 60 minutes is an hour so if we do that twice we get 2 hours so now that we've done that we will do the same with the mileage by multiplying the amount we did to the time to the distance and we get 8 miles

Answer:

C. 75t + 10 = 160

Step-by-step explanation:

Given that

The tire was $75 each

also there is a $10 for installation charges

For both he paid $160

Now based on the above equaton

The equation that applied to determine the number of tires i.e. t is

75t + 10 = 160

Answer:

$58+8.40=$66.4

Step-by-step explanation:

Answer:

- 139/-3

Step-by-step explanation:

i took the test

Answer:

D for sure

Step-by-step explanation:

i dont know if you have time for this so i explain it in the comments if you need it

Answer:

the answer is D

Step-by-step explanation:

Answer:

130°

Step-by-step explanation:

180-50=130

Answer:

130

Step-by-step explanation:

The line at the bottom is suplementary (180 degress) subtract 50 from 180 and you get 130 :)

Answer:

account balance at graduation is 674.17

Step-by-step explanation:

given data

deposit money P  =  500

interest rate = 3 % compounded quarterly

we take time period = 10 year ( 2nd grade to 12 grade)

solution

we apply here compound interest formula that is

amount = [tex]P \times (1+\frac{r}{4})^{4t}[/tex]      ..................1

put here value and we get

amount = [tex]500 \times (1+\frac{0.03}{4})^{4\times 10}[/tex]

amount = 674.174

so account balance at graduation is 674.17

Answer:

$694.63

Step-by-step explanation:

The formula is p(1+r/n)^tn. P, or the principal amount, is 500 dollars. R, or the rate as a decimal, is 0.03. N, or the number of times compounded yearly, is 4. T, or the time in years, is 11, since there are 11 years from grade 2 to grade 12. 12-2+1=11. Now, plug in the information given. 500(1+0.03/4)^4*11 = 500(1.0075)^44 = 694.63 dollars, rounded to the nearest cent.

Answer:

2 minutes

Step-by-step explanation:

90 words ÷ 4 minutes

= 22.5 words

22.5 words × 2 minutes

= 45 words

Answer:

x<3

Step-by-step explanation:

5x+2<17

Subtract 2 from both sides.

5x<17−2

Subtract 2 from 17 to get 15.

5x<15

Divide both sides by 5. Since 5 is positive, the inequality direction remains the same.

x=15/5

Divide 15 by 5 to get 3.

x<3

Answer:5

Step-by-step explanation:

I answered this same question this morning to someone and I think the got it right they said thanks

Answer:

0.0721 = 7.21% probability that the mean number of minutes of daily activity of the 8 mildly obese people exceeds 400 minutes

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 [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

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 pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

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

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

Among mildly obese people, the mean number of minutes of daily activity (standing or walking) is approximately Normally distributed with 367 minutes and standard deviation 64 minutes.

This means that [tex]\mu = 367, \sigma = 64[/tex]

A researcher records the minutes of activity for an SRS of 8 mildly obese people.

This means that [tex]n = 8, s = \frac{64}{\sqrt{8}} = 22.63[/tex]

(a) What is the probability that the mean number of minutes of daily activity of the 8 mildly obese people exceeds 400 minutes?

This is 1 subtracted by the pvalue of Z when X = 400. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{400 - 367}{22.63}[/tex]

[tex]Z = 1.46[/tex]

[tex]Z = 1.46[/tex] has a pvalue of 0.9279

1 - 0.9279 = 0.0721

0.0721 = 7.21% probability that the mean number of minutes of daily activity of the 8 mildly obese people exceeds 400 minutes

Answer:

25pi. 36pi

10pi. 12pi

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

9pi. 49pi

6pi. 14pi

Step-by-step explanation:

Area (A) = πr²

Circumference (C) = 2πr

Blue Circle:

A = (5)²π

A = 25π

C = 2(5)π

C = 10π

Pink Circle:

A = (6)²π

A = 36π

C = 2(6)π

C = 12π

White Circle:

r = 3

A = (3)²π

A = 9π

C = 2(3)π

C = 6π

Red Circle:

A = (7)²π

A = 49π

C = 2(7)π

C = 14π

Answer:

9.25

Step-by-step explanation:

Answer:

$9.25

Step-by-step explanation:

8 is to $74 as 1 is to x

8/74 = 1/x

4/37 = 1/x

4x = 37 * 1

x = 37/4

x = 9.25

Answer: $9.25

Answer: Option D.

Step-by-step explanation:

When we want to graph a complex number in a coordinate axis, the real part of the complex number is represented by the x-axis, and the complex part is represented by the y-axis.

in this case, we can see that the coordinates of the point are:

(-2, 2)

Then the complex number is:

Z = -2 + 2*i

Now we need to see which one of the given options is equal to this.

Let's check the real part for every option, so we can discard some of them:

A) real part = -2*cos(135°) = 1.41  (we can discard this option)

B) real part = 2*cos(7*pi/4) = 1.41 (we can discard this option)

C) real part = √2*2*cos(225°) = -2

D) real part = √2*2*cos(3*pi/4) = -2  

So options C or D are the correct one, now let's check the complex part for each one

C) complex part = √2*2*sin(225°) = -2    (we can discard this option)

D) complex part =  √2*2*sin(3*pi/4) = 2

So the correct one is the D option.

I answer with a picture

Answer:

Step-by-step explanation:

Remark

Formula

cos(theta) = adjacent side / hypotenuse

Givens

Theta = 57 degrees

Hypotenuse = x

Side adjacent = 13

Solution

Answer:

the answer is -1

Step-by-step explanation:

if you multiply the first equation by -1, you get this:

-3x + 4y = 4

and then you can add that to the second equation and eliminate y

2x + 0y = 16

Answer:

A. True

Step-by-step explanation:

Answer: B. False.

Step-by-step explanation:

Hope this helps!

Answer: 15

(if i'm not being a idiot)

5x=4x+3

1x = 3

3 x 5

AB=15

Answer:

-4/7

Step-by-step explanation:

Add 15x to each side. Then subtract 14 to each side.

Answer:

y = 0

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

2.25

Step-by-step explanation:

2.4 - 0.15

Using place value :

2 = Unit (2 wholes)

4 = tenth place ( 4 tenths)

To subtract 0.15

0 wholes ; 1 tenth ; 5 hundredth

1 tenth can be split into 10 separate hundredths

Hence,

For 2.4

We have ;

2 wholes ; 3 tenths and 10 hundredths

Subtracting 0.15 ;0 wholes ; 1 tenth ; 5 hundredth

(2 - 0) wholes = 2 whole

(3 - 1) tenth = 2 tenth

(10 - 5) hundredth = 5 hundredth

Hence, the difference between (2.4 and 0.15) is :

2 whole ; 2 tenth ; 5 hundredth

Which is equal to : 2.25

Answer:

1 1/3 (Decimal: 1.333333)

Step-by-step explanation: