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2 years ago

(Mr. Garduño got the dartboard pictured below for

Mathematics

1 answer:

Mrrafil [7]2 years ago

4 0

Answer:

fart I have a great job and the people whose this movie I don't have to work on that is a great job with your family for a relationship but not in a Philippine language is

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The desert temperature, H, oscillates daily between 30ºF at 4am and 70ºF at 4pm. Write a possible formula for H in terms of t, m

densk [106]

<span>The find step is to find C which is the vertical shift. This is the average between the maximum and minimum. So its 30+70=100/2= 50. the amplitude (A) take the average of the difference between max. temp. and min. value So 70-30= 40/2= 20, but it becomes -20 because the graph is shifted up 50 degrees and decreases to 30 at 4a.m. Then the period is 2pi/B which is 2pi/24, which equals pi/12. A=-20 B= pi/12 C=50</span>

5 0

3 years ago

PLS HELP LAST DAY OF APEX a.graph this system of inequalities y<-x+4 y>-x-2 b. How many solutions does this system of ineq

Ede4ka [16]

Answer:

Part ) The graph in the attached figure

Part b) The system has infinitely solutions

Step-by-step explanation:

Part a) Graph this system of inequalities

we have

y < -x+4 -----> inequality A

The solution of the inequality A is the shaded area below the dotted line

y=-x+4

The y-intercept of the dotted line is the point (0,4)

The x-intercept of the dotted line is the point (4,0)

The slope of the dotted line is negative (m=-1)

y > -x-2 -----> inequality B

The solution of the inequality B is the shaded area above the dotted line

y=-x-2

The y-intercept of the dotted line is the point (0,-2)

The x-intercept of the dotted line is the point (-2,0)

The slope of the dotted line is negative (m=-1)

using a graphing tool

The graph in the attached figure

Part b) How many solutions does this system of inequalities have?

we know that

The solution of the system of inequalities is the shaded area between the two dotted lines (see the attached figure)

therefore

The system has infinitely solutions

4 0

3 years ago

What interest is needed to earn $137.50 on a deposit of $500 for five years if it earns simple interest?

sineoko [7]

Answer:

5.5%

Step-by-step explanation:

Given data

Simple interest = $137.50

Principal= $500

time = 5 years

We want to find the rate R

Simple interest= PRT/100

137.50 = 500*R*5/100

137.50=2500R/100

cross multiply

137.5*100= 2500R

13750= 2500R

divide both sides by 2500

R= 13750/2500

R=5.5%

Hence the rate is 5.5%

4 0

3 years ago

Whats is the answer to this question below?

uysha [10]

Hey there. So first we need to know what the point slope form looks like.

It is Y-Y1=M (X-X1)

Knowing this you just plug in the given information.

M is equal to 1/6. So in this case all of the options have the correct m. Next we look at the Year value. We know Y is a positive 4. So the beginning of the equation is going to look like

Y+4=1/6 ( X-X1).

Nown plug in x. It would be a negative 5. Now your final answer would be option A. Hope the explanation helped.. :)

4 0

3 years ago

For each of the following, state the equation of a perpendicular line that passes through (0, 0). Then using the slope of the ne

SVEN [57.7K]

Answer:

The answer is below

Step-by-step explanation:

a) y=3x-1

The standard equation of a line is given by:

y = mx + c

Where m is the slope of the line and c is the intercept on the y axis.

Given that y=3x-1, comparing with the standard equation of a line, the slope (m) = 3, Two lines with slope a and b are perpendicular if the product of their slope is -1 i.e. ab = -1. Let the line perpendicular to y=3x-1 be d, to get the slope of the perpendicular line, we use:

3 × d = -1

d = -1/3

To find the equation of the perpendicular line passing through (0,0), we use:

$y-y_1=d(x-x_1)\\d\ is\ the \ slope:\\y-0=-\frac{1}{3} (x-0)\\y=-\frac{1}{3}x$

To find x if the point P(x, 4) lies on the new line, insert y = 4 and find x:

$y=-\frac{1}{3}x\\ 4=-\frac{1}{3}x\\-x=12\\x=-12$

b) y=1/4 x+2

Given that y=1/4 x+2, comparing with the standard equation of a line, the slope (m) = 1/4. Let the line perpendicular to y=1/4 x+2 be f, to get the slope of the perpendicular line, we use:

1/4 × f = -1

f = -4

To find the equation of the perpendicular line passing through (0,0), we use:

$y-y_1=f(x-x_1)\\f\ is\ the \ slope:\\y-0=-4 (x-0)\\y=-4x$

To find x if the point P(x, 4) lies on the new line, insert y = 4 and find x:

$y=-4}x\\ 4=-4x\\x=-1$

8 0

2 years ago