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Illusion [34]
3 years ago
12

What is the square root of pie times 9 Plus 44 X 60+89

Mathematics
1 answer:
spin [16.1K]3 years ago
4 0
\sqrt{9+44\cdot60+89}=\sqrt{98+2640}=\sqrt{2738}=\sqrt{2\cdot37\cdot37}=37\sqrt2
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Rewrite the function f(x)=-2(x+2)^2+6 in the form f(x)=ax^2+bx+c
Romashka [77]

Answer:

f(x) = -2x² - 8x - 2

General Formulas and Concepts:

  • Order of Operations: BPEMDAS
  • Expand by FOIL (First Outside Inside Last)
  • Standard Form: f(x) = ax² + bx + c
  • Vertex Form: f(x) = a(bx + c)² + d

Step-by-step explanation:

<u>Step 1: Define function</u>

Vertex Form: f(x) = -2(x + 2)² + 6

<u>Step 2: Find Standard Form</u>

  1. Expand by FOILing:                         f(x) = -2(x² + 4x + 4) + 6
  2. Distribute -2:                                     f(x) = -2x² - 8x - 8 + 6
  3. Combine like terms (constants):     f(x) = -2x² - 8x - 2
8 0
3 years ago
what are the different types of geometric constraints that are applied to sketches, and what are their functions?
NemiM [27]
Some examples of geometric constraints include parallelism, perpendicularity, concentricity and symmetry. Parallelism occurs when two or more lines or axes of curves are equidistant from each other. Perpendicularity is a constraint in which lines or axes of curves intersect at right angles.
6 0
2 years ago
A study showed that 69% of supermarket shoppers believe supermarket brands to be as good as national name brands. To investigate
Valentin [98]

Answer:

We conclude that supermarket ketchup was not as good as the national brand ketchup.

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 100

p = 69% = 0.69

Alpha, α = 0.05

Number of stating that the supermarket brand was as good as the national brand , x = 56

a) First, we design the null and the alternate hypothesis

H_{0}: p = 0.69\\H_A: p \neq 0.69

This is a two-tailed test.  

b) Formula:

\hat{p} = \dfrac{x}{n} = \dfrac{56}{100} = 0.56

z = \dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}

Putting the values, we get,

z = \displaystyle\frac{0.56-0.69}{\sqrt{\frac{0.69(1-0.69)}{100}}} = -2.810

Now, we calculate the p-value from the table.

P-value =  0.0049

c) Since the p-value is lower than the significance level, we fail to accept the null and reject it.

Thus, we conclude that supermarket ketchup was not as good as the national brand ketchup.

d) It need to be tested further whether the supermarket brand was worse than the national brand or better than the national brand.

6 0
3 years ago
Find the hourly wage if a $ 10.00 starting wage is increased by 2.5 % each year for 9 years.
djyliett [7]

10 * (1.025)^9 = 12,48

Maybe 12.49 depending on rounding.

6 0
3 years ago
Solve and reduce into fraction
Anastasy [175]

Answer:

x = 8/5

Step-by-step explanation:

Cross multiply

5(x + 2) = 3 * 6

5x + 10 = 18

5x = 8

  x = 8/5

3 0
3 years ago
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