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KatRina [158]
3 years ago
15

Which expression is half as large as the expression 46+42

Mathematics
1 answer:
Andrej [43]3 years ago
7 0
Well, 46+42=88 and that divided by 2 is 44. So there ya go.
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Graph the function g(x) = 1/3 - 4/3x
True [87]
                                                        Solutions 

                          g(x) = \frac{1}{3} - \frac{4}{3} x 

                          g(x) = - <span>\frac{4}{3} x + \frac{1}{3} 

                           x = -5 

                           = </span>g(x) = - \frac{4}{3} × (-5) + <span>\frac{1}{3} 
</span>
                           = \frac{20}{3} + <span>\frac{1}{3} 
</span>
                           = \frac{21}{3} 

                           = 7 

(-5,7)

≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡

           x = 7 

                    = g(x) = - \frac{4}{3} × (7) +  <span>\frac{1}{3}  
</span>
                    = \frac{-28}{3} + <span>\frac{1}{3}   
</span>
                   = \frac{-27}{3} = -9 

                   (-7,9) 

x = (-7,9)       y = <span>(-5,7)</span>



6 0
3 years ago
Before going to school, Eudora ran from her home to a secret laboratory at an average speed of 12 km. Since she was running late
Brrunno [24]

Answer:

Eudora spent 0.5 hours in running and 1.5 hours flying using her jet-pack.

Step-by-step explanation:

Let x represent time spent in running.

We have been given that the entire trip took 2 hours, so time spent in flying the jet-packs would be 2-x.

We know that distance is equal to speed times time.

\text{Distance}=\text{Speed}\times\text{Time}

Eudora ran from her home to a secret laboratory at an average speed of 12 km, so distance traveled by running would be 12x.

Eudora took one of her jet-packs and flew to her school at an average speed of 76 km, so distance covered by jet-packs would be 76(2-x).

We are told that Eudora traveled a total distance of 120 km. We can represent this information in an equation as:

12x+76(2-x)=120

12x+152-76x=120

Combine like terms:

-64x+152=120

-64x+152-152=120-152

-64x=-32

Divide both sides by -64:

\frac{-64x}{-64}=\frac{-32}{-64}

x=0.5

Therefore, Eudora spent 0.5 hours in running.

Upon substituting x=0.5 in expression for time spent in flying jet-packs, we will get:

2-x\Rightarrow 2-0.5=1.5

Therefore, Eudora spent 1.5 hours flying using her jet-pack.

7 0
3 years ago
Write a porportion to find how many points a student needs to score on the test to get the given score
horrorfan [7]
The first one is 20. The second one is 64 points
4 0
3 years ago
The department of public safety has an old memo stating that the number of accidents per week at a hazardous intersection varies
ELEN [110]

Answer:

P-value = 0.1515

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 2.2

Sample mean, \bar{x} = 2

Sample size, n = 52

Alpha, α = 0.05

Population standard deviation, σ = 1.4

First, we design the null and the alternate hypothesis

H_{0}: \mu =2.2\\H_A: \mu < 2.2

We use one-tailed(left) z test to perform this hypothesis.

Formula:

z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }

Putting all the values, we have

z_{stat} = \displaystyle\frac{2 - 2.2}{\frac{1.4}{\sqrt{52}} } = -1.03

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

P-value = 0.1515

6 0
3 years ago
Given: AD diameter of circle P.<br> If m &lt; 1= 30, then m AB=<br>A) 15<br>B) 30<br>C) 60
statuscvo [17]

The measure of an arc is the size of the corresponding central angle, so angle 1 for AB,

Answer: B

7 0
3 years ago
Read 2 more answers
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