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nydimaria [60]
4 years ago
8

HELP PLEASEEEE

Mathematics
1 answer:
enyata [817]4 years ago
8 0
Answer:
f(8) = 192

Explanation:
f(x) varies directly with x²
This means that:
f(x) = kx²
where k is the constant of proportionality.

Now, we are given that:
f(x) = 75 at x = 5
Substitute to get k as follows:
f(x) = kx²
75 = k(5)²
75 = 25k
k = 3

This means that the equation is:
f(x) = 3x²

Now, to find f(x) at x = 8, all we have to do is substitute with x = 8 in the equation as follows:
f(8) = 3*(8)²
f(8) = 3*64
f(8) = 192

Hope this helps :)
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Max makes bread that calls for 7/8 cup of raisins per loaf. He has 5 1/4 cups of raisins. How many loaves of bread can he make?
Sveta_85 [38]

Answer:

False.

Step-by-step explanation:

The answer is NOT 6 1/2 loaves it is 6 loaves.

Knowing that there Max has 5 1/4 cups of raisins and each loaf requires 7/8 cup of raisins, we would need to divide.

Let's turn the 5 1/4 into an improper fraction so when we divide the two fractions, it would be easier!

<u>To turn 5 1/4 into an improper fraction we need to...</u>

5 x 4 = 20

20 + 1

21/4

Now we divided 21/4 by 7/8.

When dividing fractions remember the rule: KEEP CHANGE FLIP!

We keep the first fraction...which is 21/4 in this case

Change the sign from division to multiplication

21/4 x 7/8

And flip 7/8 so it becomes 8/7

21/4 x 8/7

= 168/28

  = 6 loaves

So, the answer is not 6 1/2 loaves (false!)

7 0
3 years ago
Read 2 more answers
I need help with this for my numerical analysis class! Consider the following data set: (1,2.2), (3,5), (5,5.5),(7,6.1), (10,6.6
lyudmila [28]

Answer:

  • m ≈ 8.165
  • b ≈ 2.299

Step-by-step explanation:

It is convenient to let technology help out. Some graphing calculators will accommodate a model of your choice. Others are restricted to particular models, of which yours may not be one.

A spreadsheet solver may also offer the ability to optimize two variables at once. For that, you would write a function that gives the sum of the squares of the differences between your data points and those predicted by the model. You would ask the solver to minimize that sum.

If you want to do this "the old-fashioned way," you would write the same "sum of squares" function and differentiate it with respect to m and b. Solve the simultaneous equations that make those derivatives zero. (My solver finds multiple solutions, so the neighborhood needs to be restricted in some way. For example m > 0, b > 0, or sum of squares < 1.)

7 0
3 years ago
F(t)=100−4.9t2 help me
stiv31 [10]
-19.6 m/s
Do you need the math as well?
7 0
3 years ago
Trigonometry
Wittaler [7]

Answer:

x ≈ 65.4 °

Step-by-step explanation:

cos x = \frac{adjacent}{hypotenuse}

Cos x = \frac{5}{12}

Cos x = 0.4167

x = Cos⁻¹ (0.1467)

x ≈ 65.4 °

4 0
3 years ago
Read 2 more answers
Jiminy's Cricket Farm issued a bond with 15 years to maturity and a semiannual coupon rate of 5 percent 3 years ago. The bond cu
Elan Coil [88]

Answer:

Pretax cost of debt is 5.94%

After tax cost of debt is 4.63%

Step-by-step explanation:

The pretax cost of the debt is the yield to maturity on the debt issuance,which can be computed using the rate formula in excel:

=rate(nper,pmt,-pv,fv)

nper  is the number of semi-annual interest payments payable by the bond from year 3 onward ,that is the number of years to maturity 12*2=24

pmt is the semi-annual interest payable by the bond issuer which is face value of the bond ,$1000*5%/2=$25

pv is the current  price of the bond which 92% of face value i.e 92%*$1000=$920

fv is the face value of the bond at $1000

=rate(24,25,-920,1000)

rate=2.97%

the rate calculated is a semi-annual rate,annual rate =2.97%*2

                                                                                        =5.94%

The pretax cost of debt is  5.94%

After tax cost of debt=pretax cost of debt*(1-t)

t is the tax rate of 22%

after tax cost  of debt =5.94%*(1-22%)

                                    =4.63%

8 0
4 years ago
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