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inessss [21]
3 years ago
5

Find the greatest common factor of 30 and 75.

Mathematics
1 answer:
yarga [219]3 years ago
8 0

Answer:

15

Step-by-step explanation:

prime factorization of 30 is 2*3*5

prime factorization of 75 is 3*5*5

3*5 is common

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A specialty shoe manufacturer developed a new insole for running shoes. A study was produced in which some participants were giv
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Blinding is part of this, as the participants do not know whether they received the competitor's product.
5 0
3 years ago
Read 2 more answers
PLEASE HELP ME!!!!
chubhunter [2.5K]
We know, Point slope form is written as: 
y - y₁ = m(x - x₁)

First, We need to Calculate the slope:
m = (y₂ - y₁) / (x₂ - x₁)
m = (2 - 1) / (-3-2)
m = 1/-5
m = -1/5

Take any one of them: Let's take (-3, 2) as our coordinate:
y - 2 = m(x - (-3))
y - 2 = -1/5(x + 3)

In short, Your Answer would be Option D

Hope this helps!
4 0
3 years ago
Write one sine and one cosine equation for each graph below.
pychu [463]

Answer:

Q13. y = sin(2x – π/2); y = - 2cos2x  

Q14. y = 2sin2x -1; y = -2cos(2x – π/2) -1

Step-by-step explanation:

Question 13

(A) Sine function

y = a sin[b(x - h)] + k

y = a sin(bx - bh) + k; bh = phase shift

(1) Amp = 1; a = 1

(2) The graph is symmetrical about the x-axis. k = 0.

(3) Per = π. b = 2

(4) Phase shift = π/2.  

2h =π/2

h = π/4

The equation is

y = sin[2(x – π/4)} or

y = sin(2x – π/2)

B. Cosine function

y = a cos[b(x - h)] + k

y = a cos(bx - bh) + k; bh = phase shift

(1) Amp = 1; a = 1

(2) The graph is symmetrical about the x-axis. k = 0.

(3) Per = π. b = 2

(4) Reflected across x-axis, y ⟶ -y

The equation is y = - 2cos2x  

Question 14

(A) Sine function

(1) Amp = 2; a = 2

(2) Shifted down 1; k = -1

(3) Per = π; b = 2

(4) Phase shift = 0; h = 0

The equation is y = 2sin2x -1

(B) Cosine function

a = 2, b = -1; b = 2

Phase shift = π/2; h = π/4

The equation is

y = -2cos[2(x – π/4)] – 1 or

y = -2cos(2x – π/2) - 1

6 0
3 years ago
Investment banks generally provide all the following services except:
Natasha_Volkova [10]

Answer:

D. making loans to businesses for capital investment.

Step-by-step explanation:

We can define the responsibilities of investment bans like- these banks specialize in complex financial transactions like underwriting.

These also play the role of broker or financial adviser for institutional clients. These banks helps organisations to raise capital.

These also help companies and governments issue new securities.

So, the answer is -

Investment banks generally provide all the following services except: making loans to businesses for capital investment.

7 0
3 years ago
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sonja wants to have $14000 in 13 years. calculate how much she should invest now at 6% interest, compounded semiannually in orde
mariarad [96]
She should invest $6491.73.

The equation we use to solve this is in the form
A=p(1+\frac{r}{n})^{nt}, 
where A is the total amount in the account, p is the principal invested, r is the interest rate as a decimal, n is the number of times per year the interest is compounded, and t is the amount of time.

A in our problem is 14000.
p is unknown.
r is 6% = 6/100 = 0.06.
n is 2, since it is compounded semiannually.
t  is 13.

14000=p(1+\frac{0.06}{2})^{13*2}
\\
\\14000=p(1+0.03)^{26}
\\
\\14000=p(1.03)^{26}
\\
\\\text{Dividing both sides by }1.03^{26}\text{, we have}
\\
\\\frac{14000}{1.03^{26}}=\frac{p(1.03)^{26}}{1.03^{26}}
\\
\\6491.73\approx p
5 0
3 years ago
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