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2 years ago

If a line with a slope of -2 crosses the y-axis at (0,3). What is the equation of the line?

Mathematics

1 answer:

baherus [9]2 years ago

3 0

It technically would be y=3x-3 in the y=mx+b formula, but it could also be rewritten 3x-y=3. Hope this helps!

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5/3 raise to minus 5 into 5/3 raise to minus 11 is equal to 5/3 raise to x

Soloha48 [4]

Answer:

x = -2

Step-by-step explanation:

x^a × x^b = x^(a+b)

Similarly,

(5/3)^(-5) × (5/3)^(-11) = (5/3)^(-5-11)

= (5/3)^(-16)

-16 = 8x

x = -2

7 0

2 years ago

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Reptile [31]

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2 years ago

An article gave the accompanying data on ultimate load (kN) for two different types of beams. Assuming the underlying distributi

krok68 [10]

Answer:

The 99% confidence interval for the difference between the true average load for the fiberglass beams and that for the carbon beams is (-11.937, -6.863).

Step-by-step explanation:

We have to calculate a 99% confidence interval for the difference between the true average load for the fiberglass beams and that for the carbon beams.

The sample 1 (Fiberglass), of size n1=26 has a mean of 33.4 and a standard deviation of 2.2.

The sample 2 (Carbon), of size n2=26 has a mean of 42.8 and a standard deviation of 4.3.

The difference between sample means is Md=-9.4.

$M_d=M_1-M_2=33.4-42.8=-9.4$

The estimated standard error of the difference between means is computed using the formula:

$s_{M_d}=\sqrt{\dfrac{\sigma_1^2}{n_1}+\dfrac{\sigma_2^2}{n_2}}=\sqrt{\dfrac{2.2^2}{26}+\dfrac{4.3^2}{26}}\\\\\\s_{M_d}=\sqrt{0.186+0.711}=\sqrt{0.897}=0.9473$

The critical t-value for a 99% confidence interval is t=2.678.

The margin of error (MOE) can be calculated as:

$MOE=t\cdot s_{M_d}=2.678 \cdot 0.9473=2.537$

Then, the lower and upper bounds of the confidence interval are:

$LL=M_d-t \cdot s_{M_d} = -9.4-2.537=-11.937\\\\UL=M_d+t \cdot s_{M_d} = -9.4+2.537=-6.863$

The 99% confidence interval for the difference between the true average load for the fiberglass beams and that for the carbon beams is (-11.937, -6.863).

8 0

3 years ago

Find the equation of the circle centre (3-2)radius 2 unit<br><br>

il63 [147K]

Answer:

(x - 3)^2 + (x + 2)^2 = 4

Step-by-step explanation:

Equation of circle:

(x - h)^2 + (x - k)^2 = r^2

(h, k) = (3, -2)

r = 2

(x - 3)^2 + (x - (-2))^2 = 2^2

(x - 3)^2 + (x + 2)^2 = 4

3 0

2 years ago

Amy had homework for math, science, and history she spent 1/3

Nastasia [14]

First, we have to convert the fractions so that they have common denominators.

Now we add the fractions together.

Now, to find the fraction of the time that Amy spent on history, we need to subtract the sum of the time she spent in math and science from one whole.

Amy spent 5/12 of her time working on history.

8 0

2 years ago