How can the subtraction problem 9−4 be rewritten as an addition problem?

A car travels a distance of d km in t hours. The formula that

V125BC [204]

Answer:

Direct Variation

Step-by-step explanation:

Given: A car travels at a distance of $d$ km. The formula that relates $d$ to $t$ is $d=kt$

To find: kind of variation

Solution:

The formula that relates $d$ to $t$ is $d=kt$

Here, $k$ is a constant of proportionality.

Constant of proportionality is also called as constant of variation.

$d$ varies directly as $t$ .

Therefore, this is a direct variation.

5 0

2 years ago

Can somebody please help me with question b please?

snow_tiger [21]

$\bf A=
\begin{bmatrix}
-2&0\\1&3
\end{bmatrix}\qquad B=
\begin{bmatrix}
1&0&3\\-1&3&0
\end{bmatrix}\\\\
-----------------------------\\\\
AB=
\begin{bmatrix}
(-2\cdot 1)+(0\cdot -1)&(-2\cdot 0)+(0\cdot 3)&(-2\cdot 3)+(0\cdot 0)\\\\
(1\cdot 1)+(3\cdot -1)&(1\cdot 0)+(3\cdot 3)&(1\cdot 3)+(3\cdot 0)
\end{bmatrix}$

as you notice above, is the first-row components from A, multiplying all the columns subsequently on B, and you add the products of that row, that gives you one component on the AB matrix

in the one above, we end up with a 2x3 AB matrix

4 0

3 years ago

Find the arc length of a 30 degree sector of a circle with a radius of 10 cm

Elena-2011 [213]

Arc length = Ф/360 * 2πr
= 30/360 * 2*3.14*10
= 1/12 * 62.8
= 5.23

In short, Your Answer would be 5.23 cm

Hope this helps!

3 0

2 years ago

Hi i am having trouble with this question can some one help me on it i heard this app really helps you understand question i mig

Evgen [1.6K]

Answer:

n = -1

Step-by-step explanation:

Guess your question is to find n

Given:

-6 + 3n = -9

Add 6 to both sides

-6 + 6 + 3n = -9 + 6

3n = -3

Divide both sides by 3

n = -3 / 3

= -1

n = -1

Check:

-6 + 3n = -9

-6 + 3(-1) = -9

-6 - 3 = -9

- 9 = - 9

6 0

2 years ago

The scores for a certain test of intelligence are normally distributed with mean 85 and standard deviation 11. Find the 90th per

jonny [76]

Answer:

99.1 is the 90th percentile of these scores.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 85

Standard Deviation, σ = 11

We are given that the distribution of score is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

We have to find the value of x such that the probability is 0.90

$P( X < x) = P( z < \displaystyle\frac{x - 85}{11})=0.90$

Calculation the value from standard normal z table, we have,

$P(z \leq 1.282) = 0.90$

Putting values, we get,

$\displaystyle\frac{x - 85}{11} = 1.282\\\\x = 99.1$

Thus, 99.1 is the 90th percentile of these scores.

5 0

3 years ago