Evaluate the expression when a = 2 and b=4.
6²-2a
Simplify your answer as much as possible.
I
Please help!!!

Answer:

3.85 because you have to divide 46.20 and 12  

Step-by-step explanation:

Answer:

A) Fraction = 3/5, Percentage = 60%

B) Fraction = 1/15 , Decimal = 0.083333 ≈ 0.08

C) Ratio = 1:9, Fraction = 1/9

Step-by-step explanation:

A) The total amount of money Jack received = $75

Jack's spent on shoes = $45

The proportion he spent on shoes

= $45/$75

= 3/5

Converting this fraction to percentage

= 3/5 × 100% = 60%

B.What proportion of his birthday money went toward music?

The total amount of money Jack received = $75

Jack's spent on music = $5

The proportion he spent on music

= $5/$75

= 1/15

Converting this fraction to decimal

= 1/15 = 0.0833333333

It is a repeating decimal.

Approximately to the nearest hundredth = 0.08

C. Write the ratio of money Jack spent on music to money Jack spent on shoes.

The ratio of money spent on music to the ratio of my money spent on shoes

Music : Shoes

$5 : $45

1:9

The fraction that js equivalent to the ratio is 1/9

The required equation is 0.1x²-9.5x+245=0

And, the stopping distance for the train traveling at 95 miles per hour is 245.

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

Here, given that,

Speed, x (mi/h) 50 55 60 65 70 75 80 85 90

Distance ,y (100m) 20 25 35 50 70 95 125 160 200

Now, let an quadratic equation be, ax²+bx+c=y

Putting the values of x & y we get,

2500a+50b+c=20 ....(1)

3025a+55b+c=25...(2)

3600a+60b+c=35 .....(3)

solving this we get,

a= 0.1

b=-9.5

c=245

Hence, the required equation is 0.1x²-9.5x+245=0

And, the stopping distance for the train traveling at 95 miles per hour is 245.

To learn more on function click:

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Answer:

$524.30

Step-by-step explanation:

70+60+25+350+30= 535

535*.02(20%)

10.7

535-10.7=

524.3

Answer:

$107

Step-by-step explanation:

First you have to add up the costs and you get a total of $535

Then you need to make 535 equivalent to 100 then divide by 20 to get 107

Hope that helps and have a great day!

Answer:

Yes, she is. The exact product of 602 and 341 is 205,282.

Step-by-step explanation:

To determine the exact product of 602 and 341, both numbers must be multiplied, obtaining the result. To do this, said number can be decomposed, to facilitate the operation and to be able to corroborate the accuracy of the result.

So, we can multiply 602 by 300, plus 602 by 40 and 602 by 1, and add the results.

Therefore, since 602 times 300 is equal to 180,600 (602 x 300 = 180,600); that 602 times 40 is equal to 24,080 (602 x 40 = 24,080); and since 602 times 1 is equal to 602, all those values must be added.

So 180,600 plus 24,080 equals 204,680. And in turn, 204,680 plus 602 equals 205,282. Therefore, the proposed result is correct.

Given:

Combine weight of two cats, Zeus and Athena = 13 pounds

Zeus weighs 5 pounds less than Athena.

To find:

The weight of Athena.

Solution:

Let x pounds be the weight of Athena.

Zeus weighs 5 pounds less than Athena.

Weight of Zeus = x - 5 pounds

Combine weight of two cats, Zeus and Athena = 13 pounds

[tex]x+(x-5)=13[/tex]

[tex]2x-5=13[/tex]

Add 5 on both sides.

[tex]2x=13+5[/tex]

[tex]2x=18[/tex]

Divide both sides by 2.

[tex]x=\dfrac{18}{2}[/tex]

[tex]x=9[/tex]

Therefore, the weight of Athena is 9 pounds.

Answer:

13w-6x

Step-by-step explanation:

Answer:

I dont think this has a solution to be made.. I could definitely be wrong though..

Answer:

I think the answer is none

Answer: Y= 3/2x + 3

Step-by-step explanation:

Using the Y =mx+b formula, you count how many units it is going up and that is the numerator. Then you count how many units it's going to the right, and that's the denominator. Then the starting point is (0, 3) so now you plug those in and b is the starting point and the fraction is mx so you are left with the answer y= 3/2x+3

Answer:

a)0.764

b)0.116

c)Expected value =1.75

Variance=1.1375

Step-by-step explanation:

Total Number of employees = 20

Number of promotions awarded = 7

Probability of success p =[tex]\frac{7}{20}[/tex]

Probability of failure q = [tex]1-\frac{7}{20}=\frac{13}{20}[/tex]

We randomly select 5 applications

a) What is the probability that at most 2 employees were promoted?

We will use binomial

[tex]P(X=x)=^nC_r p^r q ^{n-r}\\P(X\leq 2)=P(X=0)+P(X=1)+P(X=2)\\P(X\leq 2)=^{5}C_0 (\frac{7}{20})^0 (\frac{13}{20})^{5-0}+^{5}C_1 (\frac{7}{20})^1 (\frac{13}{20})^{5-1}+^{5}C_2 (\frac{7}{20})^2 (\frac{13}{20})^{5-2}\\P(X\leq 2)=\frac{5!}{0!(5-0)!} (\frac{7}{20})^0 (\frac{13}{20})^{5-0}+\frac{5!}{1!(5-1)!}(\frac{7}{20})^1 (\frac{13}{20})^{5-1}+\frac{5!}{2!(5-2)!} (\frac{7}{20})^2 (\frac{13}{20})^{5-2}\\P(X\leq 2)=0.764[/tex]

b)What is the probability that no employees were promoted?

[tex]P(X=0)=^{5}C_0 (\frac{7}{20})^0 (\frac{13}{20})^{5-0}\\P(X=0)=\frac{5!}{0!(5-0)!} (\frac{7}{20})^0 (\frac{13}{20})^{5-0}\\P(X=0)=0.116[/tex]

c)

[tex]E(X)=np=5 \times (\frac{7}{20})=1.75\\Var(X)=npq=5 \times (\frac{7}{20}) \times \frac{13}{20}=1.1375[/tex]

Answer:

It is D.

Step-by-step explanation:

proof I just took it

Answer:

<CBD=12 degrees

Step-by-step explanation:

Answer:

6, 7,  and 14 feet.

Step-by-step explanation:

x+2x+x-1=27

4x-1=27

4x=27+1

4x=28

x=7

2x=14

x-1=6

So the three sides, in order, are 6, 7,  and 14 feet.

Answer:

8.2

Step-by-step explanation:

Answer:   K= 16/3=5.333

Step-by-step explanation: Search up tiger algebra for other problems and the answer THEY HELP

Answer:2/3

Step-by-step explanation:

rise over run and the y-intersect is 3

Answer:

Step-by-step explanation:

m∠1 + 75° = 180° [Linear pair of angles]

m∠1 = 180° - 75°

       = 105°

m∠2 = m∠1 [Opposite angles of a rectangle are equal]

m∠2 = m∠1 = 105°

m∠2 = m∠3 = 105° [Vertically opposite angles]

m∠3 = m∠4 = 105° [Corresponding angles]

Therefore, all four angles measure the same as 105°.

Answer:

Please find the answer in the explanation

Step-by-step explanation:

Given that a red ball rolls for 6 meters across a sticky level surface and slows down to a stop. the ball was rolling at 36 meters per second when it began to roll across the sticky surface. To find the acceleration, let us use third equation of motion

V^2 = U^2 + 2as

As the object is moving to stop, V = 0

0 = U^2 - 2as

36^2 = 2 × a × 6

1296 = 12a

a = 1296 / 12

a = 108 m/s

The velocity final = 0

The velocity initial = 36 m/s

the velocity average = (36 + 0)/2

Average velocity = 36/2 = 18m/s

the distance the ball rolled = 6m

and the time of the balls roll across the sticky surface will be achieved by using first equation of motion

V = U + at

V = 0

0 = 36 - 108t

108t = 36

t = 36 / 108

t = 0.3 seconds

Part A:

I only see one thing that you can do. You can use transformation to move f(x) 6 units to the left

Part B:

g(x) = f(x)+1 where k = 1, and g(x) = f (x + 8) where k = 8

Part C:

g(x) = f (x) + 1, and g(x) = f (x + 8)

sorry if I got it wrong

Answer:

5 5/6

Step-by-step explanation:

Change the mixed numbers to improper fractions, and you get -9/2 + 31/3, which adds up to 35/6, then divide 35 by 6, which changes it back to a mixed number, 5 5/6.

Answer:

0.001035

Step-by-step explanation:

Mean (m) = 152.09 mm

Standard deviation (σ) = 19.62 mm

Sample size (n) = 25

Length being 140mm or shorter (x) : x ≤ 140

Using the Zscore relation :

Zscore = (x - m) / (σ/√n)

Zscore = (140 - 152.09) / (19.62/√25)

Zscore = (140 - 152.09) / (19.62/5)

Zscore = −3.081039

P(Z ≤ −3.08) = 0.001035

Answer:

Step-by-step explanation:

Given the functions:

f (x) = x^2

g(x) = 3x + 1

h(x) = 2x

We are to look for  f + (goh)

First we need to get the composite function goh

goh = g(h(x))

g(h(x)) = g(2x)

To get g(2x) we will substitute x in g(x) as 2x as shown below:

Given g(x) = 3x+1

g(2x) = 3(2x)+1

g(2x) = 6x+1

f + goh = x² + (6x +1)

f + goh = x² + 6x +1

Jim wrote goh as 2(3x+1) instead of 3(2x) + 1. The composite function that Jim looked for was hog not goh.

The correct solution is f + goh = x² + 6x +1

Answer:

Step-by-step explanation:

3.65 ⋅ 10 = 36.5

3.65 ⋅ 100 = 365

3.65 ⋅ 1000 = 3,650

3.65 ⋅ 10000 = 36,500

3.65 ⋅ 100000 = 365,000

There are 5 zeroes on the last one.

This means that 100,000 is 10 to the power of 5.

Hope this helps! <3

Answer:

y>2x−3

Step-by-step explanation:

:)

Answer:

The answer is D (There is a big variety in job types, locations, and environments to choose from.)

Answer:D because I just got it right

Step-by-step explanation:

Answer:

5.5 makes more sense.

Step-by-step explanation: