Simplifying radicals! Please help me & Show WORK

Answer:

Solving the radical [tex]4\sqrt{2}(-4\sqrt{15}+3\sqrt{18})[/tex] we get [tex]\mathbf{-16\sqrt{30}+72}[/tex]

Step-by-step explanation:

We need to simplify the radical: [tex]4\sqrt{2}(-4\sqrt{15}+3\sqrt{18})[/tex]

Prime factors of 18 are: 2x3x3

Replacing [tex]\sqrt{18}[/tex] with its factors

[tex]4\sqrt{2}(-4\sqrt{15}+3\sqrt{18})\\=4\sqrt{2}(-4\sqrt{15}+3\sqrt{2\times3\times3})\\=4\sqrt{2}(-4\sqrt{15}+3\sqrt{2\times3^2})[/tex]

We know that [tex]\sqrt{3^2}=3[/tex]

[tex]=4\sqrt{2}(-4\sqrt{15}+3\times3\sqrt{2})\\=4\sqrt{2}(-4\sqrt{15}+9\sqrt{2})[/tex]

Multiplying [tex]4\sqrt{2}[/tex] with terms inside the bracket

[tex]=4\sqrt{2}(-4\sqrt{15})+4\sqrt{2}( 9\sqrt{2}))\\=-16\sqrt{2}\sqrt{15}+36\sqrt{2} \sqrt{2}[/tex]

We know that [tex]\sqrt{2} \sqrt{2}=2[/tex]

[tex]=-16\sqrt{2*15}+36(2)\\=-16\sqrt{30}+72[/tex]

So, solving the radical [tex]4\sqrt{2}(-4\sqrt{15}+3\sqrt{18})[/tex] we get [tex]\mathbf{-16\sqrt{30}+72}[/tex]

Harper plans to purchase her school pictures. The prints cost $108 plus any add-ons she wants to purchase. If she saves $18 per week, which solution represents how many weeks, x, it will take Harper before she can purchase her school pictures?

tarting at elevation zero, Zen climbs to an elevation of 4,646.4 feet to reach the Cragway Trail. From there, he hikes up another 1,817.6 feet to the Calloway Peak Summit, the highest point on Grandfather Mountain. Based on these numbers, the Calloway Peak Summit is at a height of
feet.

On his return trip, Zen descends from the Calloway Peak Summit to an elevation of 2,402.5 feet, arriving at the Flat Rock Junction. So, the elevation at Flat Rock is
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Diana got 0.85 of the questions correct on her assessment. What fraction
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Coach Crowell won 80% of the games he pitched. If he pitched 35 games, how many did he win?

A jewelry box contains 13 gold earrings, 10 silver earrings and 12 titanium
earrings. Two earrings are drawn at random with replacement. Find the
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50 Points!!!!
In the following triangle BD is a median.

Find x and the measure of CD.

SOMEONE PLEASE HELP MEEEEE!!!!!
The Venn diagram represents the Quantum Physics High School student body. Circle A represents all students enrolled in extracurricular activities. Circle B represents all female students. There are 117 female students enrolled in extracurricular activities, and the enrollment of the high school is 1,000 students. There are 450 male students. How many female students are not enrolled in extracurricular activities?

A.
117
B.
433
C.
550
D.
883

Hi I rlly could use some help with this! I'm not the best at math and I'm rlly struggling with this assignment its a couple questions long! I will give brainiest and 10 given points!
Info:In this activity, you will find out how many cars the baseball team needs to wash before it starts making a profit. The team spent $75 setting up the car wash, and they are charging $5 per car for a wash.
1.The first step in modeling this situation is to track how much money the baseball team will take in. Write an equation to represent the amount of money collected in dollars, y, in terms of the number of cars washed, x. Ignore the setup cost.

2.The equation you wrote in part A accounts for money collected. However, it does not account for the money the baseball team spent to set up the car wash. What do you need to do to the equation in part A to account for the setup cost?

3.Now that you have an idea of how much money the baseball team will collect and how much it will spend, you’re ready to write an equation modeling the situation. Write an equation representing the profit made on the car wash in dollars, y, in terms of the number of cars washed, x, after expenses.

4.You now have an equation to model the finances of the car wash. What is the value of the profit when the baseball team washes 0 cars? What point represents this value? What does the y-value of this point mean in terms of the problem?

5.The baseball team will break even when the amount of money it has received equals the amount of money it spent. In other words, the team breaks even when the profit is equal to zero. How many cars does the baseball team have to wash to break even? What point represents this value? What does the x-value of this point mean in terms of the problem?

Pls help!!!

What number does E represent?

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oranges (y) costs $16.
Five apples plus two
oranges costs $24. Hov
muon do each apples and
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The drama club is selling tickets for a play. The profit, y, is
modeled by the equation, y = x2 – 40x – 3,200, where x is
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If f(x) =|3x + 2, what is f(-1)

Solve (x + 3)2 - 5 = 0 using the quadratic formula.
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If 3 quarts of paint are needed for 50 ft of fence, how many quarts are needed for 300 ft of fence?
at

You decided to join a fantasy Baseball league and you think the best way to pick your players is to look at their Batting Averages.

You want to use data from the previous season to help predict Batting Averages to know which players to pick for the upcoming season. You want to use Runs Score, Doubles, Triples, Home Runs and Strike Outs to determine if there is a significant linear relationship for Batting Averages.

You collect data to, to help estimate Batting Average, to see which players you should choose. You collect data on 45 players to help make your decision.

x1 = Runs Score/Times at Bat

x2 = Doubles/Times at Bat

x3 = Triples/Times at Bat

x4 = Home Runs/Times at Bat

x5= Strike Outs/Times at Bat

Interpret the slope(s) of the significant predictors for Batting Average (if there are any).

See Attached Excel for Data.

Baseball data.xlsx
Doubles/Times at Bat Triples/times at bat HR/Times at Bat SO/Times at Bat
0.049 0.012 0.013 0.086
0.039 0.013 0.002 0.062
0.045 0.021 0.013 0.074
0.043 0.001 0.03 0.032
0.044 0.011 0.07 0.076
0.047 0.018 0.05 0.007
0.036 0.008 0.012 0.095
0.03 0.006 0.003 0.145
0.05 0.008 0.061 0.112
0.041 0.005 0.014 0.124
0.047 0.012 0.009 0.111
0.058 0.01 0.011 0.07
0.041 0.009 0.005 0.065
0.037 0.003 0.004 0.138
0.058 0.014 0.011 0.032
0.05 0.012 0.05 0.06
0.04 0.008 0.049 0.233
0.038 0.013 0.003 0.068
0.06 0.016 0.085 0.158
0.066 0.021 0.037 0.083
0.051 0.02 0.012 0.04
0.052 0.008 0.054 0.095
0.037 0.003 0.043 0.135
0.063 0.026 0.01 0.031
0.054 0.027 0.01 0.048
0.025 0.006 0 0.061
0.044 0.003 0.022 0.151
0.063 0.02 0.037 0.081
0.045 0.008 0 0.252
0.053 0.017 0.013 0.07
0.041 0.007 0.051 0.264
0.057 0.03 0.017 0.058
0.029 0.007 0.011 0.188
0.034 0.019 0.005 0.014
0.038 0.006 0.015 0.142
0.068 0.016 0.022 0.092
0.042 0.009 0.066 0.211
0.052 0.008 0.054 0.095
0.049 0.007 0.038 0.101
0.044 0.007 0.002 0.205
0.037 0.003 0.004 0.138
0.061 0.002 0.012 0.147
0.049 0.012 0.021 0.13
0.026 0.011 0.002 0
0.053 0.005 0.039 0.115


Question 4 options:

There are no significant predictors.


When you hold Double, Triples, Home Runs and Strike Outs constant, as Runs Score increases by 1, your Batting Average will increase by .109/Times at Bat.

When you hold Runs Score, Triples, Home Runs and Strike Outs constant, as Doubles increases by 1, your Batting Average will increase by .313/Times at Bat.

When you hold Runs Score, Doubles, Triples, and Home Runs constant, as Strike Outs increase by 1, your Batting Average will decrease by .052/Times at Bat.


When you hold Double, Triples, Home Runs and Strike Outs constant, as Runs Score increases by 1, your Batting Average will increase by .225/Times at Bat.

When you hold Runs Score, Triples, Home Runs and Strike Outs constant, as Doubles increases by 1, your Batting Average will increase by .358/Times at Bat.

When you hold Runs Score, Doubles, Triples, and Home Runs constant, as Strike Outs increase by 1, your Batting Average will decrease by .389/Times at Bat.


When you hold Double, Triples, Home Runs and Strike Outs constant, as Runs Score increases by 1, your Batting Average will increase by .447/Times at Bat.

When you hold Runs Score, Triples, Home Runs and Strike Outs constant, as Doubles increases by 1, your Batting Average will increase by .991/Times at Bat.

When you hold Runs Score, Doubles, Triples, and Home Runs constant, as Strike Outs increase by 1, your Batting Average will decrease by .285/Times at Bat.

5
2
A line passes through the point (-10, 8) and has a slope of

Evaluate the double integral.
∫∫8y2dA, D is the triangular region with vertices (0, 1), (1, 2), (4, 1)

Solve for x: −3x + 3 −1
x −3

Assume that last year in a particular state with 700000 children there were 1205 children out of 32600 in a random sample who were diagnosed with Autism Spectrum Disorder. Nationally, 1 out of 88 children are diagnosed with ASD. Is there sufficient data to show that the incident rate of ASD is higher in that state than nationally

Tina is taking picture of her friends. if she sets a tripod level on the ground, will the bottom of each of the legs of tripod be coplanar

Which of the following is true? (1 point)

Question 19 options:

1)

|–8| < 6

2)

|–6| < |–8|

3)

|8| < |–6|

4)

|–6| < –8
PLS GOD HELP ME

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what is the answer please

please give answer please!!!!!!!!!!!!​

Six packs of cola are on sale for 1.50. If a customer buys a 24 pack what is the total charge including8%