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Sidana [21]
3 years ago
11

Help Please! And THANK YOU!

Mathematics
1 answer:
Semenov [28]3 years ago
6 0

Answer:

100

Step-by-step explanation:

\frac{3.75 \times 100}{1.50 \times 100}  =  \frac{375}{150}

<h3>so the dividend and divisor were both multiplied by 100.</h3>
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The axis of symmetry for the graph of the function is f(x) = x2 + bx + 10 is x = 6. What is the value of b?
joja [24]

Answer:

b=-12

Step-by-step explanation:

we have

f(x)=x^{2}+bx+10

we know that

The equation of a vertical parabola into vertex form is equal to

y=a(x-h)^{2} +k

where

(h,k) is the vertex of the parabola

and the axis of symmetry is equal to x=h

In this problem we have the axis of symmetry x=6

so

the x-coordinate of the vertex is equal to 6  

therefore

For x=6+1=7 -----> one unit to the right of the vertex

Find the value of f(7)

f(7)=7^{2}+b(7)+10

f(7)=59+7b

For x=6-1=5 -----> one unit to the left of the vertex

Find the value of f(5)

f(5)=5^{2}+b(5)+10

f(5)=35+5b

Remember that

f(5)=f(7) ------> the x-coordinates are at the same distance from the axis of symmetry

so

59+7b=35+5b ------> solve for b

7b-5b=35-59

2b=-24

b=-12


3 0
3 years ago
Read 2 more answers
What is the probability of rolling a 4 on a six sided dice?<br> 1/3<br> 5/6<br> 1/6<br> 1/2
stira [4]

Answer:

1/6

Step-by-step explanation:

there are six numbers and you are hoping to get a single specific number making it 1/6

6 0
3 years ago
For each of the following integrals, indicate whether integration by substitution or integration by parts is more appropriate, o
Andrei [34K]

Answer:

a. ∫ xSinx dx

iii. integration by parts

u =x and dv= sinx

b. ∫ x⁴/(1+x³). dx  

ii. neither

Long division is an option here before integration is done

c. ∫ x⁴. e^x³. dx

i. substitution

where u = x⁵

d. ∫x⁴ cos(x⁵). dx

i. substitution

where u = x⁵

e. ∫1/√9x+1 .dx

i. substitution

where u = 9x+1

6 0
3 years ago
A game has three possible outcomes : win, lose, or tie. The probability of a loss is 0.1, and the probability of the tie is 0.5.
Inga [223]
P(not winning) = p(loss) + P(tie) = 0.1 + 0.5 = 0.6
8 0
4 years ago
283.85 g + 6, 204 mg + .00039 kg .. how many total grams of chemical did they mix together
Leni [432]
1g=1000mg\to1mg=0.001g\\\\1kg=1000g\\\\6.204mg=6.204\cdot0.001g=0.006204g\\\\0.00036kg=0.00039\cdot1000g=0.39g\\\\\\283.85g+6.204mg+0.00039kg=283.85g+0.006204g+0.39g\\\\=284.2462g
4 0
3 years ago
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