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cestrela7 [59]
2 years ago
13

The function g(x) is shown in the graph at right. The function g(x) is a transformation of the parent function f(x)=x^2. Based o

f the graph, which function represents g(x) in terms of f(x)
Mathematics
1 answer:
Ivahew [28]2 years ago
6 0

Answer: choice B

Step-by-step explanation:

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Air has a density of 0.001226 g/mL. What volume of air would have a mass of 1.0 lb? A. 2.7 mL B. 815.6 mL C. 37 mL D. 3.7 × 102
Andre45 [30]

Answer:

Volume = 3.7\ * 10^2\ L

Step-by-step explanation:

Given

Density = 0.001226 g/mL

Mass = 1.0\ lb

Required

Determine the volume of air

Density is calculated using:

Density = \frac{Mass}{Volume}

Substitute values for Density and Mass

0.001226 g/mL = \frac{1.0\ lb}{Volume}

Convert lb to grams

0.001226 g/mL = \frac{1.0 * 453.592\ g}{Volume}

0.001226 g/mL = \frac{453.592\ g}{Volume}

Solve for Volume

Volume = \frac{453.592\ g}{0.001226 g/mL}

Volume = 369977.161501\ mL

Convert mL to L

Volume = 369977.161501\ L * 0.001

Volume = 369.977161501\ L

Represent using scientific notation

Volume = 3.69977161501\ * 10^2\ L

Approximate

Volume = 3.7\ * 10^2\ L

8 0
3 years ago
ZA and B are supplementary angles. If mA (x - 9)° and
Verizon [17]

The measurement of  ∠B  is 168°

Given,

In the question:

Angle A and Angle B are supplementary angles.

If mA (x - 9)° and m/B= (7x + 21)°

To find the measure of ∠B

Now, According to the question;

What are supplementary angles?

Two angles are Supplementary when they add up to 180 degrees.

Now, ∠A+∠B = 180°

So,

⇒(x - 9)˚+(7x + 21)°=180°

=> 8x +12 = 180°

=> 8x = 180° - 12

=> 8x = 168

=> x = 168/8

=> x = 21

For the measure of ∠B :

∠B  = (7x + 21)

∠B = 7 x 21 + 21

∠B  = 168°

Hence, The measurement of  ∠B  is 168°

Learn more about Supplementary angles at:

brainly.com/question/13045673

#SPJ1

5 0
1 year ago
Find a ratio equivalent to 15/60
Flauer [41]

Answer:

\large\boxed{\dfrac{15}{60}=\dfrac{5}{20}=\dfrac{3}{12}=\dfrac{1}{4}}

or

\large\boxed{\dfrac{15}{60}=\dfrac{30}{120}=\dfrac{45}{180}=\dfrac{60}{240}}

Step-by-step explanation:

Divide the numerator and the denominator by the same number:

\dfrac{15}{60}\\\\=\dfrac{15:5}{60:5}=\dfrac{3}{12}\\\\=\dfrac{15:3}{60:3}=\dfrac{5}{20}\\\\=\dfrac{15:15}{60:15}=\dfrac{1}{4}\\\vdots

or

Multiply the numerator and the denominator by the same number:

\dfrac{15}{60}\\\\=\dfrac{15\cdot2}{60\cdot2}=\dfrac{30}{120}\\\\=\dfrac{15\cdot3}{60\cdot3}=\dfrac{45}{180}\\\\=\dfrac{15\cdot4}{60\cdot4}=\dfrac{60}{240}\\\vdots

7 0
3 years ago
Read 2 more answers
Soft drink consumption in New Zealand. A survey commissioned by the Southern Cross Healthcare Group reported that 16% of New Zea
lidiya [134]
<h2>Answer with explanation:</h2>

Given : The proportion of New Zealanders consume five or more servings of soft drinks per week :\hat{p}= 0.16

a) The number of survey respondents reported that they consume five or more servings of soft drinks per week = 2006

b) Confidence interval for population proportion (p) :

\hat{p}\pm z^*\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

, where \hat{p} = Sample proportion.

n= Sample size.

z* = Critical value.

For n= 2006 , \hat{p}= 0.16 and critical value for 95% confidence interval : z* = 1.96

Then , the required confidence interval will be :

0.16\pm (1.96)\sqrt{\dfrac{ 0.16(1- 0.16)}{2006}}

0.16\pm (1.96)\sqrt{ 0.000066999002991}

0.16\pm (1.96)(0.00818529186963)

0.16\pm 0.0160431720645

(0.16-0.0160431720645,\ 0.16+0.0160431720645)

(0.143956827935,\ 0.176043172064)\approx(0.144,\ 0.176)

i.e. A 95% confidence interval for the proportion of New Zealanders who report that they consume five or more servings of soft drinks per week. = (0.144,\ 0.176)

c) (0.144,\ 0.176)=(0.144\times100\%,\ 0.176\times100\%)

=(14.4\%,\ 17.6\%)176\times100\%)[/tex]

d) The estimate might be biased because the survey is taken online that means offline New Zealanders are out of consideration.

6 0
3 years ago
Marty is 54 years old, and his niece is 6 how many times older is marty than his niece
Basile [38]

Answer:

9 times older.

Step-by-step explanation: Mark brainliest if this helps.

3 0
3 years ago
Read 2 more answers
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