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2 years ago

What is the slope of the function? -3 -2 3 4

Mathematics

2 answers:

Vesnalui [34]2 years ago

8 0

Slope measures the rate of change in the dependent variable as the independent variable changes. (B) is the slope of the line. Slope means that a unit change in x, the independent variable will result in a change in (y) by the amount of (B). slope = change in (y) change in (x)rise run. Slope shows both steepness and direction.

Brums [2.3K]2 years ago

3 0

Answer:

Step-by-step explanation:

I did the test on edge

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Tyler drives 50 km north for his first delivery. Then he drives 30 km south for his second delivery. What distance did he cover

marusya05 [52]

80 km. :) very easy math

8 0

2 years ago

Read 2 more answers

Combine each pair of equations solve the combined equation 3j +14=-5z-10j=5z

ArbitrLikvidat [17]

Given data:

The first equation is 3j +14=-5z.

The second equation is -10j=5z .

Add both the equations.

$\begin{gathered} (3j+14)+(-10j)=-5z+5z \\ -7j+14=0 \\ 7j=14 \\ j=2 \end{gathered}$

Substitute 2 for j in the first equation.

$\begin{gathered} 3(2)+14=-5z \\ 20=-5z \\ z=-4 \end{gathered}$

Thus, the value of j is 2 and z is -4.

3 0

1 year ago

You are dealt one card from a standard 52-card deck. Find the probability of being dealt an ace or a 6.

Ainat [17]

Answer:

2/13

Step-by-step explanation:

Since there's 4 of each card in the deck this means that there're 4 sixes and 4 aces, so 8 cards in a 52 card deck gives the problem 8/52 which equals 2/13

4 0

3 years ago

Find the slope of the line on the graph.

Annette [7]

Answer:

Step-by-step explanation:

By going up 3 and right 1 you get 3/1, aka 3

The line of the equation is y=3x+2

7 0

2 years ago

I will give lots of points please help

aalyn [17]

Answer:

a) 81π in³

b) 27 in³

c) divide the volume of the slice of cake by the volume of the whole cake

d) 10.6%

e) see explanation

Step-by-step explanation:

The cake can be modeled as a <u>cylinder </u>with:

diameter = 9 in
height = 4 in

$\sf Radius=\dfrac{1}{2}diameter \implies r=4.5\:in$

$\textsf{Volume of a cylinder}=\sf \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}$

$\begin{aligned}\sf \implies \textsf{Volume of the cake} & =\pi (4.5)^2(4)\\ & = \sf \pi (20.25)(4)\\ & = \sf81 \pi \:\: in^3\end{aligned}$

$\begin{aligned}\textsf{Circumference of the cake} & = \sf \pi d\\& = \sf 9 \pi \:\:in\end{aligned}$

If each slice of cake has an arc length of 3 in, then the volume of each slice is 3/9π of the entire volume of the cake.

$\begin{aligned}\implies \textsf{Volume of slice of cake} & = \sf \dfrac{3}{9 \pi} \times \textsf{volume of cake}\\\\& = \sf \dfrac{3}{9 \pi} \times 81 \pi\\\\& = \sf \dfrac{243 \pi}{9 \pi}\\\\& = \sf 27\:\:in^3\end{aligned}$

The volume of each slice of cake is 27 in³.

The volume of the whole cake is 81π in³.

To calculate the probability that the first slice of cake will have the marble, divide the volume of a slice by the volume of the whole cake:

$\begin{aligned}\implies \sf Probability & = \sf \dfrac{27}{81 \pi}\\\\& = \sf 0.1061032954...\\\\ & = \sf 10.6\% \:\:(1\:d.p.)\end{aligned}$

Probability is approximately 10.6% (see above for calculation)

If the four slices of cake are cut and passed out <em>before </em>anyone eats or looks for the marble, the probability of getting the marble is the same for everyone. If one slice of cake is cut and checked for the marble before the next slice is cut, the probability will increase as the volume of the entire cake decreases, <u>until the marble is found</u>. So it depends upon how the cake is cut and distributed as to whether Hattie's strategy makes sense.

3 0

2 years ago