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photoshop1234 [79]

2 years ago

14

Javier drove 45 miles. this represents 60% of his entire rode trip. what is the total number of miles in javier's trip?

1 answer:

gtnhenbr [62]2 years ago

8 0

45 ÷ .60 = 75

75 miles is the total

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Between which two ordered pairs does the graph of f(x) = one-halfx2 + x – 9 cross the negative x-axis?

Anit [1.1K]

Answer:

Step-by-step explanation:

we have that

$f(x) = x^2 + x - 9$

Using a graph tool

see the attached figure

The function represent a vertical parabola that open up

the vertex is a minimum-------> is the point (-0.5, -9.3)

The x-intercepts are the points when the y coordinate is equal to zero

The x-intercepts are the points (-3.5, 0) and (2.5, 0)

so

the function cross the negative x-axis at point

therefore, the answer is

(-4, 0) and (-3, 0)

6 0

2 years ago

Read 2 more answers

A median of a triangle is a line segment joining a vertex to the midpoint of the opposite side. Find the lengths of the median o

nexus9112 [7]

Answer:

$5/2units\\$ .

$\sqrt{47/2}units \\$ .

$\sqrt{41/2}units\\$ .

Step-by-step explanation:

The given points are A(1,2,3), B(-2,0,5) and C(4,1,5). The triangle is represented in the attach file where the three possible median are length AE, BF, and CD. We determine the coordinate of point D,E and F using the midpoint equation which is for any point A(x,y,z) and point B(a,b,c), the midpoint D is determine by

$D=(\frac{x+a}{2},\frac{y+b}{2},\frac{z+c}{2})\\$ .

Hence going by the above formula we determine the coordinate of point D,E and F

$D=(\frac{-2+1}{2},\frac{0+2}{2},\frac{5+3}{2})\\$ .

$D=(\frac{-1}{2},1,4)\\$ .

point E

$E=(\frac{4-2}{2},\frac{1+0}{2},\frac{5+5}{2})\\$ .

$E=(1,\frac{1}{2},5)\\$ .

Point F

$F=(\frac{4+1}{2},\frac{1+2}{2},\frac{5+3}{2})\\$ .

$F=(\frac{5}{2},\frac{3}{2},4)\\$ .

To determine the length of each median line we use the formula for distance between two points which is express as

$AB=\sqrt{(y_{2}-y_{1} )^{2} +(x_{2}-x_{1} )^{2}+(z_{2}-z_{1} )^{2}} \\$ .

Using the above formula we determine the length of line AE,BF and CD.

$AE=\sqrt{(1-1 )^{2} +(1/2-2)^{2}+(5-3 )^{2}} \\$ .

$AE=\sqrt{0 +9/4+4} \\$ .

$AE=\sqrt{25/4} \\$ .

$AE=5/2units\\$ .

For point BF

$BF=\sqrt{(5/2+2 )^{2} +(3/2-0)^{2}+(4-5 )^{2}}\\$ .

$BF=\sqrt{81/4 +9/4+1} \\$ .

$BF=\sqrt{47/2} \\$ .

$BF=\sqrt{47/2}units \\$ .

For point CD

$CD=\sqrt{(-1/2-4 )^{2} +(1-1)^{2}+(4-5 )^{2}}\\$ .

$BF=\sqrt{81/4 +0+1} \\$ .

$BF=\sqrt{41/2} \\$ .

$BF=\sqrt{41/2}units\\$ .

7 0

2 years ago

Sarah runs at a rate of 8 miles per hour what is her speed at feet per second

LekaFEV [45]

Answer:

i worked some of it out

Step-by-step explanation:

1 mile = 5,280ft

1 hour = 8 miles

30 min = 4 miles

15min = 2 miles

7.5 (7min and 30 sec) = 1 mile

3.75(225 sec) =1/2 mile = 2,640ft

0.25(quarter of a mile) = 1,320ft

i just completely lost myself but if this helps then great! sorry if i wasted your time

4 0

2 years ago

What is 14.7 x 11.361

Y_Kistochka [10]

167.0067
I hope this helps!

4 0

2 years ago

Read 2 more answers

According to government data, the probability that an adult was never in a museum is 10%. In a random survey of 60 adults, wh

lutik1710 [3]

Answer:

$\text{Mean}=)=6\\\\\text{Standard deviation}=2.324$

Step-by-step explanation:

Given : The probability that an adult was never in a museum is : p=0.10

The number of adults randomly surveyed: n = 60

In Binomial distribution , the formula to find the mean and the standard deviation is given by :-

$\text{Mean}=np\\\\\text{Standard deviation}=\sqrt{np(1-p)}$

Then , the mean and standard deviation of the number that were never in a museum will be :-

$\text{Mean}=60(0.10)=6\\\\\text{Standard deviation}=\sqrt{60(0.10)(1-0.1)}=2.3237900077\approx2.324$

5 0

2 years ago