Evaluate b*2−16a+5 when a=1/2 and b=7.

Answer:

$760

Step-by-step explanation:

Given data

weekly = $325

commission= 7.5%

if she sold $5,800 worth of merchandise

Her earnings will be

Week earning= base salary+ 7.5% of sales

Week earning= 325+ 7.5/100*5800

Week earning= 325+ 0.075*5800

Week earning= 325+ 435

Week earning= $760

Answer:

y<-2

Step-by-step explanation:

8y-3y+6>2y+8y+16

-3y-2y>16-6

-5y>10

y<-2

Answer:

y > -2

Step-by-step explanation:

Please look at the attachment:

Answer:

1/4 or .25

Step-by-step explanation:

Answer:

The answer is B. 9x + 22

Step-by-step explanation:

17.50x + 25

- 8.5x + 3

= 9x + 22

(n + 1)³ - n³ = (n³ + 3n² + 3n + 1) - n³

… = 3n² + 3n + 1

… = 3n (n + 1) + 1

… = 6m + 1

where m is another integer. We can say this because, as the second-to-last step says, either n or n + 1 is even, which makes their product also even, so we can write it as a multiple of 2:

n (n + 1) = 2m

Then 6m is even, and adding 1 to it makes it odd.

Answer:

7.5:15

It cannot be simplified further

Step-by-step explanation:

Hope this helps! Have a nice day!

Answer:

36

Step-by-step explanation:

well you could add 24+12 which equals 36

Answer:

I do believe that 1.5 as a fraction is 3/2 or 1 and 1/2

Step-by-step explanation:

Hope this helps you:)

Answer:

1 ½ or 3/2

Step-by-step explanation:

Decimals can be written in fraction form. To convert a decimal to a fraction, place the decimal number over its place value. For example, in 0.6, the six is in the tenths place, so we place 6 over 10 to create the equivalent fraction, 6/10. If needed, simplify the fraction. - Khan Academy

Hope this helps :D

Answer:

Common difference= 4, Equation; t(n)=4n+3, 20th= 83

Step-by-step explanation:

d=11-7=4

Equation

Recall, t(n)=a_1+(n-1)d

Replacing a_1 =7 and d=4

t(n)=7+(n-1)4

t(n)=7+4n-4

t(n)=4n+3

20th item

t(20)=4(20)+3=83

I hope that is helpful

Answer:

Step-by-step explanation:

This is an arithmetic progression.

It starts at 7 and keeps on adding 4.

The common difference is 4

The explicit equation is

t_n = a + (n - 1)*d

a =  7

d = 4

t_n = 7 + (n - 1)*4

t_n = 7 + 4n - 4

t_n = 4n + 3

t_20

t_20 = 4*20 + 3

t_20 = 83

Answer:

thanks for the points

Step-by-step explanation:

Answer:

Step-by-step explanation:

s and r are the arc length and radius, respectively.

perimeter of sector = s+2r = 8

s = 8-2r

θ = s/r = (8-2r)/r

Answer:

420m²

Step-by-step explanation:

Given that:

Length of diagonal = 42m

Lenght of outlying vertice = 10 m

Area of paralellogram = 2 " (area of triangle)

Area of triangle = 1/2 * base * height

Hence,

Area of parallelogram :

Area = 2(0.5 * 42 * 10)

Area = 2 (210)

Area = 420m²

Answer:

see below

Step-by-step explanation:

Answer:

The distance from point P, P(-2,4) to the given line y= 2x-2 is 1.56

Step-by-step explanation:

We need to find the distance from point P to the given line

P(-2,4) , y= 2x-2

The formula used is: [tex]Distance=\frac{|Ax_1+By_1+C|}{\sqrt{A^2+B^2} }[/tex]

Where A, B and C are points of line i.e Ax+By+C=0

and x_1 and y_1 are points of P

So, y=2x-2 in Ax+By+C=0 is:

2x-y-2=0

A=2,

B=-1

C=1

Point given is P(-2,4)

x_1=-2

y_1=4

Putting values and finding distance

[tex]Distance=\frac{|Ax_1+By_1+C|}{\sqrt{A^2+B^2} }\\Distance=\frac{|2(-2)+-1(4)+1|}{\sqrt{(-2)^2+(4)^2} }\\Distance=\frac{|-4-4+1|}{\sqrt{4+16} }\\Distance=\frac{|-7|}{\sqrt{20}}\\Distance=\frac{7}{\sqrt{20} }\\Distance=\frac{7}{4.5}\\Distance=1.56[/tex]

So,  the distance from point P, P(-2,4) to the given line y= 2x-2 is 1.56

Answer:

The answer should be C

Step-by-step explanation:

Answer:

c. Fewer than 6

Step-by-step explanation:

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

In the binomial distribution, an outcome is considered unusual if it is more than 2.5 standard deviations below the mean.

Seventy-nine percent of products come off the line ready to ship to distributors.

This means that [tex]p = 0.79[/tex]

Your quality control department selects 12 products randomly from the line each hour.

This means that [tex]n = 12[/tex]

Mean:

[tex]E(X) = np = 12*0.79 = 9.48[/tex]

Standard deviation:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{12*0.79*0.21} = 1.41[/tex]

Unusual:

[tex]9.48 - 2.5*1.41 = 5.96[/tex]

So fewer than 6 is considered unusual.

Answer:

Step-by-step explanation:

The sum of the exterior angles of any polygon is 360 degrees and the QRST is not an exception.

Answer:

Step-by-step explanation:

1. 24+9/2pi, 2. 51 3. 86. 4. 90 5. 56, all of these are done with the addition or subtraction of simple geometric formulas such as those for a rectangle,circle or triangle.

Answer:

Step-by-step explanation:

1. Rectangle + Semi-Circle

[tex]A = a*b + \frac{\pi r^{2}}{2}\\a=6, b=4, r=\frac{a}{2} = 3\\A = 24 + 4.5 \pi = 38.14 in^{2}\\[/tex]

2. Large Rectangle - Small Rectangle

[tex]A = 15 * 5 - 6*3 = 75 - 18 = 57 in^{2}\\[/tex]

3. Rectangle - Trapezoid

[tex]A = a * b - \frac{c+d}{2}h = 20*17 - 6 * \frac{6+12}{2} = 340 - 54 = 286 cm^{2}\\[/tex]

4. The composite figure is a rectangle if the triangle is moved to left and fills the missing part

[tex]A = a * b = 10 * 9 = 90 m^{2}\\[/tex]

5. Square - Triangle

A = [tex]A = a^{2} - \frac{b^{2}}{2} = 8 * 8 - \frac{4 * 4}{2} = 64 - 8 = 56 cm^{2}\\[/tex]

6. Circle - Square

[tex]A = \pi r^{2} - a^{2} = 64 \pi - 12 * 12 = 64 \pi - 144 = 57.06 m^{2}[/tex]

7. Square - Triangle

[tex]A = a^{2} - \frac{b*h}{2} = 15 * 15 - \frac{10 * 8}{2} = 225 - 40 = 185 sq.ft.[/tex]

8. Rectangle + Triangle

[tex]A = a *b + \frac{a*h}{2} = 9.5 * 9 + \frac{9.5*12}{2} = 85.5 + 57 = 142.5 in^{2}\\[/tex]

9. Triangle + Rectangle

[tex]A = \frac{a*b}{2} + c * d = \frac{12*10}{2} + 12 * 6 = 60 + 72 = 132 sq.ft.[/tex]

10. Rectangle + Quarter Circle

[tex]A = r * b + \frac{\pi r^{2}}{4} = 6 * 8 + \frac{36 \pi}{4} = 48 + 9 \pi = 76.27 in^{2}\\[/tex]

11. Square + Rectangle

[tex]A = a^{2} + b * c = 7 * 7 + 9 * 14 = 49 + 126 = 175 m^{2}[/tex]

12. Rectangle - 2 * Square

[tex]A = a * b - 2 * c^{2} = 25 * 18 - 2 * 8 * 8 = 450 - 128 = 322 sq.ft.[/tex]

13. Trapezoid

[tex]A = \frac{a+b}{2} * h = \frac{10+15}{2} * 15 = 12.5 * 15 = 187.5 sq.ft.[/tex]

14. Trapezoid - Rectangle

[tex]A = a * h - c * d = 12 * 7 - 9 * 5 = 84 - 45 = 39 in^{2}[/tex]

15. Rectangle - Triangle

[tex]A = a * b - \frac{a * b}{2} = \frac{a*b}{2} = \frac{10 * 20}{2} = 100 in^{2}[/tex]

16. Square + Trapezoid

[tex]A = a^{2} + \frac{a + b}{2} * h = 25 + \frac{5 + 9.5}{2} * 6 = 25 + 43.5 = 68.5 in^{2}[/tex]

Answer:

24

Step-by-step explanation:

Answer:

is the right answer.

Answer:

2 and 3660847 are the only prime factors. Therefore, the number 7321694 is divisible by itself, by 2, by 366-0847 (which is a prime number) , or by the unity.

Step-by-step explanation:

2 and 3660847 are the only prime factors of this number. Therefore, the number 7321694 is divisible by itself, by 2, by 366-0847 (which is a prime number) , or by the unity.

Answer:

[tex]x^{\frac{36}{5} }[/tex]

Step-by-step explanation:

The transformation is as follows:

As we know that

[tex]a^{\frac{m}{n} } \rightarrow\sqrt[m]{a^{n}} \\\\\sqrt[m]{a^{n}} \rightarrow a^{\frac{m}{n} }\\\\(\sqrt[6]{x^5})^7 \rightarrow (x^{\frac{5}{6} })^7 \rightarrow x^{\frac{5^\times 7}{6} }\\\\x^{\frac{36}{5} }[/tex]

In this way it would be transformed with a rational exponent

Answer:

1311.88

Step-by-step explanation:

Feet:stories

883:70

x:104

To solve this we need to multiply 883 by 1.48 because this is what we multiplied 70 to get to 104

x=1311.88=1312

Answer:

The answer to this question is B

Answer:

the answer for this question is 110°

Step-by-step explanation:

you have to add the angles first in this case 25 and 45

and then subtract the sum from 180.

so.... 25+45=70

        180-70=110

hope its was helpful :)  

Answer:

A

Step-by-step explanation:

Using the pythagorean theorem, [tex]a^{2} +b^{2} =c^{2}[/tex]

we plug the numbers in; [tex]3^{2} + 6^{2} =c^{2}[/tex]

9+36=c^2

45=c^2

sqr root of 45 is [tex]\sqrt{45}[/tex]

next find the positive perfect sqr root of 45 which will be 9.

9 goes into 45 5 times so it will be [tex]\sqrt{9x5}[/tex]

Sqr root of 9 is 3 so it will be [tex]3 \sqrt{5}[/tex]

Answer:

D.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Not completly sure what your looking for but it X would be any number lower then 12 (11,10,9,8,7,6,5,4,3.2,1)

Answer:

1-11

Step-by-step explanation:

its less than 12!

hope this is correct! c: