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stiks02 [169]
3 years ago
8

Harris has $60. He spends y dollars. How much money does he have left? Give your answer in terms of y.

Mathematics
2 answers:
Aleonysh [2.5K]3 years ago
7 0
Harris has 60-y dollars left. Hope this helps!
solong [7]3 years ago
3 0
$60- y= x   Y= dollars  X= Money left  $60=Amount of money that he has
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The population of a town increased from 3650 in 2012 to 4700 in 2014. Find the absolute increase.
aev [14]
Treat this like a slope formula. Y2-y1 divided by x2-x1.
Your y2 value is the second population
Y1= value of first population.
X2= second year they give
X1= first year they give.
4700-3650
_________
2014-2012

1050
____
2

525 is the increase a year
8 0
3 years ago
The function h(t)=−16t2+7t+63 represents the height of a t-shirt launched from a t-shirt cannon after t seconds. a. Write an equ
Fittoniya [83]

Answer:

(a)\ -16t^2 + 7t + 63=0

(b)\ t = 2.215

Step-by-step explanation:

Given

h(t) = -16t^2 + 7t + 63

Solving (a): Equation when it hits the ground.

This means that h(t) = 0

So, we have:

h(t) = -16t^2 + 7t + 63

-16t^2 + 7t + 63=0

Solving (b): The value of t in (a)

-16t^2 + 7t + 63=0

Using quadratic formula, we have:

t = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}

This gives:

t = \frac{-7 \± \sqrt{7^2 - 4*-16*63}}{2*-16}

t = \frac{-7 \± \sqrt{49+ 4032}}{2*-16}

t = \frac{-7 \± \sqrt{4081}}{-32}

t = \frac{-7 \± 63.88}{-32}

Split

t = \frac{-7 + 63.88}{-32}; or\ t = \frac{-7 - 63.88}{-32}

t = \frac{56.88}{-32}; or\ t = \frac{-70.88}{-32}

t = -1.7775; or\ t = 2.215

Time can't be negative; So:

t = 2.215

7 0
2 years ago
Suppose a consumer product researcher wanted to find out whether a highlighter lasted less than the manufacturer's claim that th
11111nata11111 [884]

Answer:

The null hypothesis is H_0: \mu = 14

The alternate hypothesis is H_a: \mu < 14

The test statistic is t = -1.95.

The p-value is of 0.0292. This means that for a level of significance of 0.0292 and higher, there is sufficient evidence to conclude that the  highlighters wrote for less than 14 continuous hours.

Step-by-step explanation:

Suppose a consumer product researcher wanted to find out whether a highlighter lasted less than the manufacturer's claim that their highlighters could write continuously for 14 hours.

At the null hypothesis, we test if the mean is 14 hours, that is:

H_0: \mu = 14

At the alternate hypothesis, we test if the mean is less than 14 hours, that is:

H_a: \mu < 14

The test statistic is:

t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, s is the standard deviation of the sample and n is the size of the sample.

14 is tested at the null hypothesis:

This means that \mu = 14

X = 13.6 hours, s = 1.3 hours. Sample of 40:

In addition to the values of X and s given, we have that n = 40

Test statistic:

t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}

t = \frac{13.6 - 14}{\frac{1.3}{\sqrt{40}}}

t = -1.95

The test statistic is t = -1.95.

P-value:

The p-value of the test is the probability of finding a sample mean lower than 13.6, which is a left tailed test, with t = -1.95 and 40 - 1 = 39 degrees of freedom.

Using a calculator, the p-value is of 0.0292. This means that for a level of significance of 0.0292 and higher, there is sufficient evidence to conclude that the  highlighters wrote for less than 14 continuous hours.

5 0
2 years ago
a cube has sides of lengths a -3 which of the following expression best represents the volume of the cube
Semenov [28]

Answer: -27


Step-by-step explanation: the cube has a volume of -27 because -3 to the 3rd power (cubed) is -27

Hope this helps ☺


7 0
3 years ago
Need help with this question!!
Ludmilka [50]

Hey!!

How do you find slopes?

Ans - In order to find slop, we will need to use the slop formula which is

( y₂ - y₁ ) / ( x₂ - x₁ )

Now let's take two points on the graph

I will take the points ( -1 , 0 ) and ( 1 , 2 )

Now let's plug in these values :

y₂ = 2 , y₁ = 0 and x₂ = 1 and x₂ = -1

( 2 - 0 ) / ( 1 + 1 )

2 / 1

Hence, the slope is 2

Hope my answer helps!!

5 0
3 years ago
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