How to solve 3x+4y=-2 -3x+y-22

These prisms are similar. Find the surface

Bumek [7]

Answer:

823.7 m^2

Step-by-step explanation:

The ratio of the side lengths is 6/5.

The ratio of the areas is the square of the ratio of the side lengths, 36/25.

572 m^2 * 36/25 = 823.7 m^2

5 0

3 years ago

Is is true that the coefficient of the expression 18z-7(-3+2z) of z is 13

Sever21 [200]

18z-7(-3+2z)
= 18z + 21 - 14z
= 4z + 21

answer is False
coefficient of z is 4, not 13

3 0

3 years ago

What is the equation of a line that contains the point (2,-5) and is parallel to the line y=3x-4

aev [14]

Answer:

$\large\boxed{y=3x-11}$

Step-by-step explanation:

$\text{Let}\\\\k:y=m_1x+b_1\\\\l:y=m_2x+b_2\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\l\ \parallel\ k\iff m_1=m_2\\\\===================================\\\\y=3x-4\to m_1=3\\\\\text{Therefore}\ m_2=3.\\\\\text{We have the equation:}\ y=3x+b.\\\\\text{Put the coorsdinates of the point (2, -5) to the equation of the line}\\\\-5=3(2)+b\\-5=6+b\qquad\text{subtract 6 from both sides}\\-11=b\to b=-11$

7 0

3 years ago

Help me please. I am having troubles with my math homework.

jeyben [28]

Answer: (3) f(8) = g(8)

Step-by-step explanation:

Let's compare the values of f(x) and g(x) when x = 0, 2, 8, and 4

f(x) g(x) Comparison

f(x) = 2x - 3 $g(x)=\dfrac{3}{2}x+1$

f(0) = 2(0) - 3 $g(0)=\dfrac{3}{2}(0)+1$

= -3 = 1 f(0) < g(0)

f(2) = 2(2) - 3 $g(2)=\dfrac{3}{2}(2)+1$

= 1 = 4 f(2) < g(2)

f(8) = 2(8) - 3 $g(8)=\dfrac{3}{2}(8)+1$

= 13 = 13 f(8) = g(8)

f(4) = 2(4) - 3 $g(4)=\dfrac{3}{2}(4)+1$

= 5 = 7 f(4) < g(4)

The only statement provided that is true is f(8) = g(8)

3 0

3 years ago

In a simple regression analysis for a given data set, if the null hypothesis β = 0 is rejected, then the null hypothesis ρ = 0 i

kati45 [8]

Answer:

Null hypothesis: $\rho =0$

Alternative hypothesis: $\rho \neq 0$

The statistic to check the hypothesis is given by:

$t=\frac{r \sqrt{n-2}}{\sqrt{1-r^2}}$

And is distributed with n-2 degrees of freedom

And the statistic to check the significance of a coeffcient in a regression is given by:

$t_1 = \frac{\hat{\beta_1} -0}{S.E (\hat{\beta_1})}$

For this case is importantto remember that t1 and p value for test of slope coefficient is the same test statistic and p value for the correlation test so then the answer would be:

Always

Step-by-step explanation:

In order to test the hypothesis if the correlation coefficient it's significant we have the following hypothesis:

Null hypothesis: $\rho =0$

Alternative hypothesis: $\rho \neq 0$

The statistic to check the hypothesis is given by:

$t=\frac{r \sqrt{n-2}}{\sqrt{1-r^2}}$

And is distributed with n-2 degrees of freedom

And the statistic to check the significance of a coeffcient in a regression is given by:

$t_1 = \frac{\hat{\beta_1} -0}{S.E (\hat{\beta_1})}$

For this case is importantto remember that t1 and p value for test of slope coefficient is the same test statistic and p value for the correlation test so then the answer would be:

Always

4 0

3 years ago