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3 years ago

9 + 7 × ( 15 + 3 )÷3 2= Giving brainliest

Mathematics

1 answer:

xeze [42]3 years ago

3 0

Answer: 207 over 16 or in decimal form 12.9375

Step by step explanation:

Add 15 and 3 to get 18

9+ 7x18 over 32

Multiply the 7 and 18 to get 126

9+ 126 over 32

Reduce the fraction 126 over 32 to get the lowest terms by extracting and cancelling out the 2

9+ 63 over16

Convert 9 into the fraction 144 over 16

144over16 +63over16

Both of the fractions have the same denominator, therefore you should add them by using their numerators.

144+16over16

Add 144 and 63 to get the final number.

207over16

HOPE THIS HELPED YOU OUT, MATE! IF NOT THEN I'M SORRY!

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Let h(x)=20e^kx where k ɛ R (Picture attached. Thank you so much!)

zloy xaker [14]

Answer:

$k=0$

$\displaystyle \begin{aligned} 2k + 1& = 2\ln 20 + 1 \\ &\approx 2.3863\end{aligned}$

$\displaystyle \begin{aligned} k - 3&= \ln \frac{1}{2} - 3 \\ &\approx-3.6931 \end{aligned}$

Step-by-step explanation:

We are given the function:

$\displaystyle h(x) = 20e^{kx} \text{ where } k \in \mathbb{R}$

Given that h(1) = 20, we want to find k.

h(1) = 20 means that h(x) = 20 when x = 1. Substitute:

$\displaystyle (20) = 20e^{k(1)}$

Simplify:

$1= e^k$

Anything raised to zero (except for zero) is one. Therefore:

$k=0$

Given that h(1) = 40, we want to find 2k + 1.

Likewise, this means that h(x) = 40 when x = 1. Substitute:

$\displaystyle (40) = 20e^{k(1)}$

Simplify:

$\displaystyle 2 = e^{k}$

We can take the natural log of both sides:

$\displaystyle \ln 2 = \underbrace{k\ln e}_{\ln a^b = b\ln a}$

By definition, ln(e) = 1. Hence:

$\displaystyle k = \ln 2$

Therefore:

$2k+1 = 2\ln 2+ 1 \approx 2.3863$

Given that h(1) = 10, we want to find k - 3.

Again, this meas that h(x) = 10 when x = 1. Substitute:

$\displaystyle (10) = 20e^{k(1)}$

Simplfy:

$\displaystyle \frac{1}{2} = e^k$

Take the natural log of both sides:

$\displaystyle \ln \frac{1}{2} = k\ln e$

Therefore:

$\displaystyle k = \ln \frac{1}{2}$

Therefore:

$\displaystyle k - 3 = \ln\frac{1}{2} - 3\approx-3.6931$

3 0

3 years ago

Estimate by rounding each number to the nearest hundredth and then subtract 360.727 - 89.852

kykrilka [37]

Hi there!

The correct answer for you is 270.88.

To round to the hundreth's place (.01), you need to take the number in the thousand's place (.001), and determine if the number needs to go up or down.

If the number in the thousand's place is greater than 4, then the number goes up.

360.727 --> This means that the hundreth's number goes up to 3.

If the number in the thousand's place is lesser than 5, then that number stays the same.

89.852 --> This means that the hundreth's number stays the same.

After you round, then just subtract:

360.73 - 89.85 = 270.88.

I hope this helps!
Brady

7 0

3 years ago

Helpppp plssssss and thxxx

velikii [3]

Answer:

x ≤ 13

Step-by-step explanation:

hope this helps

5 0

3 years ago

Read 2 more answers

Which is the last operation performed when evaluating (8-2x)+4

jek_recluse [69]

Short Answer: Combine like terms
Remark
Just from what I see here, remove the brackets first and combine like terms second.

Discussion
8 - 2x + 4 The like therms are 8 and 4 First step
12 - 2x That's the answer. Don't go any further. 2nd and last step

3 0

3 years ago

4sin^2 + 13cos^2 = 7. Find cos Please read the picture question carefully and help !!

Vanyuwa [196]

4 sin^2 θ + 13cos^2 θ = 7
sin^2 θ = 1 - cos^ θ
4 - 4cos^2 θ + 13cos^2 θ = 7
9cos^2 θ = 3
cos^2 θ = 1/3
cos θ = # (1/3) # - square root
Square root of (1/3) has +1/3 and -1/3 as values of cos
Find the key angle by doing the cos inverse of #1/3
K.A = cos^-1 #(1/3) = 0.955
θ lies in all 4 quadrants
The values of θ are:
θ = 0.955, 2.186, 4.096, 7.23
Ignore 0.955, 2.186, 4.096, 7.23 as they are out of range pi/2 = 1.571
The the value of θ = 0.955 = 0.96 (to 2 d.p) radian

Hope it helped!

5 0

3 years ago