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2 years ago

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Write the equation of the line that is parallel to the line y=−14x−3 through the point (4,4). A. y=x+5 B. y=−14x+5 C. y=5x+1 D.

y=5x−14

1 answer:

Sloan [31]2 years ago

6 0

Answer:

None of the answers seem to be correct.

Step-by-step explanation:

The given equation is of the form y = mx + b where m is the slope and b is the y-intercept.

Here, m = -14

Two parallel lines have the same slope. So, the slope of the new line will be -14.

To calculate the y-intercept substitute x=4 and y=4 in the equation.

4 = (-14)(4) + b

Solving for b, we get b = 60.

So, the new equation will be y = -14x + 60

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You’re working in the sedan section of dean’s car dealership. A customer makes a down payment of 15% on a new car that costs $13

Shkiper50 [21]

Answer:

Convert 15 % to a decimal.

Then multiply 0.15 x 13450. That means the answer is $2,017.50

Please mark brainliest if this helped.

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2 years ago

Which is the simplified form of x Superscript negative 12?

chubhunter [2.5K]

Answer:

C. $\frac{1}{x^{12}}$

Step-by-step explanation:

We are given that an expression

$(x)^{-12}$

We have to find the simplified form of given expression.

We know that

$a^{-b}=\frac{1}{a^b}$

Using the property then we get

$x^{-12}=\frac{1}{x^{12}}$

Hence, the simplified form of $x^{-12}$ is given by

$\frac{1}{x^{12}}$

Option C is true.

5 0

2 years ago

Read 2 more answers

4. Hydrocarbons in the cab of an automobile were measured during trips on the New Jersey Turnpike and trips through the Lincoln

pochemuha

Answer:

No these these result do not differ at 95% confidence level

Step-by-step explanation:

From the question we are told that

The first concentrations is $c _1= 30.0 \ g/m^3$

The second concentrations is $c _2 = 52.9 \ g/m^3$

The first sample size is $n_1 = 32$

The second sample size is $n_2 = 32$

The first standard deviation is $\sigma_1 = 30.0$

The first standard deviation is $\sigma_1 = 29.0$

The mean for Turnpike is $\= x _1 = \frac{c_1}{n} = \frac{31.4}{32} = 0.98125$

The mean for Tunnel is $\= x _2 = \frac{c_2}{n} = \frac{52.9}{32} = 1.6531$

The null hypothesis is $H_o : \mu _1 - \mu_2 = 0$

The alternative hypothesis is $H_a : \mu _1 - \mu_2 \ne 0$

Generally the test statistics is mathematically represented as

$t = \frac{\= x_1 - \= x_2}{ \sqrt{\frac{\sigma_1^2}{n_1} +\frac{\sigma_2^2}{n_2} }}$

$t = \frac{0.98125 - 1.6531}{ \sqrt{\frac{30^2}{32} +\frac{29^2}{32} }}$

$t = - 0.0899$

Generally the degree of freedom is mathematically represented as

$df = 32+ 32 - 2$

$df = 62$

The significance $\alpha$ is evaluated as

$\alpha = (C - 100 )\%$

=> $\alpha = (95 - 100 )\%$

=> $\alpha =0.05$

The critical value is evaluated as

$t_c = 2 * t_{0.05 , 62}$

From the student t- distribution table

$t_{0.05, 62} = 1.67$

So

$t_c = 2 * 1.67$

=> $t_c = 3.34$

given that

$t_c > t$ we fail to reject the null hypothesis so this mean that the result do not differ

6 0

2 years ago

A special shape is 2.02 m long and 1.22 m wide. A double row of tiles makes a border . Each tile is 2cm by 2cm. How many tiles a

Alex787 [66]

Answer:

6.48

Step-by-step explanation:

The computation of tiles are needed to make the border is shown below:-

$= 2 \times (length + breadth)$

where,

Length is 2.02 m

And, the breadth is 1.22

Now placing these values to the above formula

So, the number of tiles needed to make the border is

$= 2 \times (2.02 + 1.22)$

$= 2 \times 3.24$

= 6.48

Therefore for computing the tiles are needed to make the border we simply applied the above formula.

3 0

2 years ago

The flathead rail tunnel in Montana is about 7 3/4 miles long. A train travels at a speed of 3/4 mile per mile minute.how long w

kogti [31]

7 3/4 × 3/4 = So u add 3×3=9
Then add 4×4=16 Give you 9/16
Then you add that 7 you left out with 9/16
But just the 9 not the 16
7 × 9 = 63 And your answer is 63/16
Hope i help :-)

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2 years ago

Read 2 more answers