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MaRussiya [10]
3 years ago
12

Evaluate 8x^2 + 2x + 5, when x =7

Mathematics
1 answer:
bixtya [17]3 years ago
3 0

Answer:

432

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

Step-by-step explanation:

<u>Step 1: Define</u>

8x² + 5x + 5

x = 7

<u>Step 2: Evaluate</u>

  1. Substitute in <em>x</em>:                                                                                                8(7)² + 5(7) + 5
  2. Evaluate exponents:                                                                                         8(49) + 5(7) + 5
  3. Multiply:                                                                                                             392 + 35 + 5
  4. Add:                                                                                                                 427 + 5
  5. Add:                                                                                                                 432
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A garden in the shape of a trapezoid has an area of 44.4 square
Leviafan [203]

Answer:

37 meters

Step-by-step explanation:

The equation for the area of a trapezoid is A=\frac{a+b}{2} +h.

Here, a = 4.3, b=10.5, and h is unknown.

44.4=\frac{4.3+10.5}{2} +h

44.4=\frac{14.8}{2} +h

44.4=7.4 +h

37 = h

The height of the trapezoid is the width of the garden, so the garden is 37 meters wide.

5 0
3 years ago
Your high school is having a competition where students have to guess how many candy canes are in a jar. The tens digit is 4 mor
rodikova [14]

Answer:

40

Step-by-step explanation:

let ones be x

tens is 4 + 2x

4 + 2x + x = 4

3x = 0

x = 0

tens is 4 + 2*0

tens = 4

40 candy canes

5 0
3 years ago
Log2(3x+1)=log4(x+8)
lara31 [8.8K]

Answer:

(1.35, 1.6)

Step-by-step explanation:

5 0
3 years ago
The number of hours worked per year per person in a state is normally distributed with a standard deviation of 39. A sample of 1
evablogger [386]

Answer:

The 98% confidence interval for the population mean number of hours worked per year per person is (2146, 2193).

Step-by-step explanation:

The question is incomplete.

The number of hours registered in the sample are:

2051 2061 2162 2167 2169 2171

2180 2183 2186 2195 2196 2198

2205 2210 2211

The sample mean can be calculated as:

M=\dfrac{1}{n}\sum_{i=1}^n\,x_i\\\\\\M=\dfrac{1}{15}(2051+2061+2162+2167+2169+2171+2180+2183+2186+2195+2196+2198+2205+2210+2211)\\\\\\M=\dfrac{32545}{15}\\\\\\M=2169.67\\\\\\

We have to calculate a 98% confidence interval for the mean.

The population standard deviation is know and is σ=39.

The sample mean is M=2169.67.

The sample size is N=15.

As σ is known, the standard error of the mean (σM) is calculated as:

\sigma_M=\dfrac{\sigma}{\sqrt{N}}=\dfrac{39}{\sqrt{15}}=\dfrac{39}{3.873}=10.07

The z-value for a 98% confidence interval is z=2.326.

The margin of error (MOE) can be calculated as:

MOE=z\cdot \sigma_M=2.326 \cdot 10.07=23.43

Then, the lower and upper bounds of the confidence interval are:

LL=M-t \cdot s_M = 2169.67-23.43=2146\\\\UL=M+t \cdot s_M = 2169.67+23.43=2193

The 98% confidence interval for the population mean is (2146, 2193).

3 0
3 years ago
Find the value of x for which m//n<br><br> A.<br> 10<br> B.<br> 12<br> C.<br> 40<br> D.<br> 52.
fenix001 [56]
<span>m//n if the external alternating angles are equal, that means:
(3x+12)°=48°

Solving for x:
3x+12=48
3x+12-12=48-12
3x=36
3x/3=36/3
x=12

Answer: Option B. 12</span>
6 0
3 years ago
Read 2 more answers
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