Josephine is going on a run around the lake. She knows the distance around the lake, but she would like to complete her run
in a certain amount of time. Josephine knows she can used the formula d = rt.
Which equation correctly rearranges the formula to find the time it will take her to run around the lake?

A. T= d/r
B. T= r/d
C. T=d + r
D. T=d-r

Answer:

Average speed

= 5 5/6 mph , or

= 5.83 mph (to 2 decimals)

Step-by-step explanation:

Average speed is total distance divided by the total time it takes to cover the given distance.

Since uphill = 5 mph, and downhill = 7 mph, we know the average speed is between 5 and 7 mph.

Let

x = distance uphill, and also distance downhill.

Total distance = 2x miles

Total time = x/5 + x/7 hours  = 12x/35 hours

Average speed

= total distance/total time

= 2x / (12x/35) mph

= 70x / 12x

= 5 5/6 mph

= 5.83 mph (to 2 decimals)

Answer:

483,000

Step-by-step explanation:

hope this helps :)

Answer:

The answer is 483,000 as an ordinary number

Step-by-step explanation:

===================================================

Explanation:

Any triangle prism is composed of 2 parallel triangular faces (base faces), along with 3 rectangular lateral faces.

The bottom triangle face has a base of 10 cm and a height of 4 cm. The area is 0.5*base*height = 0.5*10*4 = 20 square cm. Two of these triangles combine to an area of 2*20 = 40 square cm. We'll use this later.

The lateral surface area of any prism can be found by multiplying the perimeter of the base by the height of the prism. The base triangle has side lengths 5, 8 and 10. The perimeter is 5+8+10 = 23. So the lateral surface area is (perimeter)*(height) = 23*9 = 207

Add this to the total base area we got earlier and the answer is 40+207 = 247. The units are in square cm, which we can write as cm^2.

so first day and so on

7, 10, 13,....

as you can see it's an arithmetic progression

so sum for nth term= n/2 { 2a + (n-1) d}

it's the sum of the 7th term

so

7/2 { 7 ×2 + ( 7-1) 3}

7/2 × 32

7× 16

112 fishes

Answer:

I think the answer is 25

Step-by-step explanation:

Answer:

They are not perpendicular because their slopes are not negative reciprocals.

Step-by-step explanation:

Well first we need to find slope.

[tex]\frac{y^2-y^1}{x^2-x^1}[/tex]

Line HJ)

(-4,-2) , (0,4)

y2 is 4 y1 is -2, so 4 - -2 = 6

0 - -4 = 4

6/4 -> 3/2

Due to the point (0,4) having no x value 4 is the y intercept.

Hence, y = 3/2x + 4 is the slope of line HJ

Line FG)

(-4,1) , (0,-2)

y2 is -2 y1 is 1, so -2 - 1 = -3

0- -4 = 4

Because (0,-2) is missing an x value -2 is the y intercept,

Equation: y = -3/4x - 2

They are not perpendicular because their slopes are not negative reciprocals.

The slope of HJ (3/2) and the slope of FG (-3/4) are not negative reciprocal, so, they are not perpendicular. (Option D).

Recall:

Given that lines HJ (blue line) and FG (red line) are on a coordinate plane as shown in the diagram attached below, let's find their slope:

Slope of line HJ:

[tex]Slope (m) = \frac{-2 - 4}{-4 -0} = \frac{-6}{-4} = \frac{3}{2}[/tex]

Slope of line FG:

[tex]Slope (m) = \frac{-2 - 1}{0-(-4)} = \frac{-3}{4} = -\frac{3}{4}[/tex]

Therefore, the slope of HJ (3/2) and the slope of FG (-3/4) are not negative reciprocal, so, they are not perpendicular. (Option D).

Learn more here:

https://brainly.com/question/18975049

Answer:

2

Step-by-step explanation:

|a+x|/2-|a-x|/2

Plug in the values.

|-2+-6|/2-|-2- -6|/2

Evaluate.

|-8|/2-|4|/2

Apply rule : |-a| = a

8/2 - 4/2

4 - 2

Subtract.

= 2

Answer:

D

Step-by-step explanation:

If you put the equation into a graphing calculator it will give ou a function than is a straight line that is stretched vertically by 3 units

Answer:

[tex]\boxed{F(x)>0}[/tex]

Step-by-step explanation:

The range is the set of possible values of y (the output).

The input value x is all real numbers, because there are no restrictions on x.

When the input x is all real numbers, the output is always greater than 0.

[tex]2^{-15}= 0.00003051757[/tex]

[tex]2^{8}= 256[/tex]

[tex]2^{-4}= 0.0625[/tex]

Answer: The probability that she will visit them in the exact order ABCD or DCBA =  [tex]\dfrac{1}{12}[/tex]

Step-by-step explanation:

Given: Jennifer wants to visit 4 different cities A,B,C and D on her vacation.

If she visits in an order , total such orders will be [tex]4![/tex] = 4 x 2 x 3 x 1 =24.

Since probability = [tex]\dfrac{\text{Favourable outcomes}}{\text{total outcomes}}[/tex]

In this case favorable outcomes ( ABCD ,  DCBA)=  2

Total outcomes = 24

Required probability = [tex]\dfrac{2}{24}=\dfrac{1}{12}[/tex]

Hence, the probability that she will visit them in the exact order ABCD or DCBA =  [tex]\dfrac{1}{12}[/tex]

Answer:

x= -19

Step-by-step explanation:

3-(x-3)=25

Distributive property to cancel out the paranthesis

3-x+3=25

Add the number

6-x=25

Subtract 6 on both sides

-x=19

Divide by -1 on both sides so the x to eliminate the negative sign

x=-19

Answer:

see explanation

Step-by-step explanation:

Calculate the perimeters by summing the measures of the sides.

Left figure ( starting with base and summing clockwise )

x + 5 + (x - 6) + (y - 5) + 6 + y ( brackets are the measure of the indents )

= x + 5 + x - 6 + y - 5 + 6 + y

= 2x + 2y

Right figure ( starting with base and summing clockwise )

x + 2 + (x - 3) + (y - 2) + 3 + y

= x + 2 + x - 3 + y - 2 + 3 + y

= 2x + 2y

Both figures have perimeters of 2x + 2y cm

Answer:

18

Step-by-step explanation:

j represents Jeffrey's age

j - 5 represents brother

Jeffrey is 23 so j = 23

j-5 = 23-5 =18 = brother

Answer:

J=23

Then J-5= his brother

substitute and u will find j-5=23-5

=18 so his brother age is 18 years old

Step-by-step explanation:

Answer:

The unit price at the village market is 2.80 / 5 = 0.56 and the unit price at Sam's Club is 4.90 / 10 = 0.49. Since 0.49 < 0.56, the answer is Sam's Club.

Answer: Sam's club

Step-by-step explanation:

Because 10/2 = 5, at Sam's club you get twice the beans.  Thus, simply multiply 2.8*2 = 5.60.  Because $5.60>$4.90, the village market is the worse place to buy.

Answer:

[tex]2a - 3b + 4c = 1[/tex]

Step-by-step explanation:

Given

[tex]a^2 + b^2 + c^2 = 2(a - b - c) - 3[/tex]

Required

Determine [tex]2a - 3b + 4c[/tex]

[tex]a^2 + b^2 + c^2 = 2(a - b - c) - 3[/tex]

Open bracket

[tex]a^2 + b^2 + c^2 = 2a - 2b - 2c - 3[/tex]

Equate the equation to 0

[tex]a^2 + b^2 + c^2 - 2a + 2b + 2c + 3 = 0[/tex]

Express 3 as 1 + 1 + 1

[tex]a^2 + b^2 + c^2 - 2a + 2b + 2c + 1 + 1 + 1 = 0[/tex]

Collect like terms

[tex]a^2 - 2a + 1 + b^2 + 2b + 1 + c^2 + 2c + 1 = 0[/tex]

Group each terms

[tex](a^2 - 2a + 1) + (b^2 + 2b + 1) + (c^2 + 2c + 1) = 0[/tex]

Factorize (starting with the first bracket)

[tex](a^2 - a -a + 1) + (b^2 + 2b + 1) + (c^2 + 2c + 1) = 0[/tex]

[tex](a(a - 1) -1(a - 1)) + (b^2 + 2b + 1) + (c^2 + 2c + 1) = 0[/tex]

[tex]((a - 1) (a - 1)) + (b^2 + 2b + 1) + (c^2 + 2c + 1) = 0[/tex]

[tex]((a - 1)^2) + (b^2 + 2b + 1) + (c^2 + 2c + 1) = 0[/tex]

[tex]((a - 1)^2) + (b^2 + b+b + 1) + (c^2 + 2c + 1) = 0[/tex]

[tex]((a - 1)^2) + (b(b + 1)+1(b + 1)) + (c^2 + 2c + 1) = 0[/tex]

[tex]((a - 1)^2) + ((b + 1)(b + 1)) + (c^2 + 2c + 1) = 0[/tex]

[tex]((a - 1)^2) + ((b + 1)^2) + (c^2 + 2c + 1) = 0[/tex]

[tex]((a - 1)^2) + ((b + 1)^2) + (c^2 + c+c + 1) = 0[/tex]

[tex]((a - 1)^2) + ((b + 1)^2) + (c(c + 1)+1(c + 1)) = 0[/tex]

[tex]((a - 1)^2) + ((b + 1)^2) + ((c + 1)(c + 1)) = 0[/tex]

[tex]((a - 1)^2) + ((b + 1)^2) + ((c + 1)^2) = 0[/tex]

Express 0 as 0 + 0 + 0

[tex](a - 1)^2 + (b + 1)^2 + (c + 1)^2 = 0 + 0+ 0[/tex]

By comparison

[tex](a - 1)^2 = 0[/tex]

[tex](b + 1)^2 = 0[/tex]

[tex](c + 1)^2 = 0[/tex]

Solving for [tex](a - 1)^2 = 0[/tex]

Take square root of both sides

[tex]a - 1 = 0[/tex]

Add 1 to both sides

[tex]a - 1 + 1 = 0 + 1[/tex]

[tex]a = 1[/tex]

Solving for [tex](b + 1)^2 = 0[/tex]

Take square root of both sides

[tex]b + 1 = 0[/tex]

Subtract 1 from both sides

[tex]b + 1 - 1 = 0 - 1[/tex]

[tex]b = -1[/tex]

Solving for [tex](c + 1)^2 = 0[/tex]

Take square root of both sides

[tex]c + 1 = 0[/tex]

Subtract 1 from both sides

[tex]c + 1 - 1 = 0 - 1[/tex]

[tex]c = -1[/tex]

Substitute the values of a, b and c in [tex]2a - 3b + 4c[/tex]

[tex]2a - 3b + 4c = 2(1) - 3(-1) + 4(-1)[/tex]

[tex]2a - 3b + 4c = 2 +3 -4[/tex]

[tex]2a - 3b + 4c = 1[/tex]

Answer:

[tex]x=20[/tex]

[tex]y=10\,\sqrt{3}[/tex]

Step-by-step explanation:

In the triangle we have the following trigonometric equations:

[tex]tan(60^o)=\frac{opposite}{adjacent} \\\sqrt{3} =\frac{y}{10} \\y=10\,\sqrt{3}[/tex]

and also:

[tex]cos(60^o)=\frac{adjacent}{hypotenuse}\\\frac{1}{2} =\frac{10}{x}\\x=20[/tex]

Answer:

Hey there!

On on a graph, find the point of intersection of two lines; the first line has y-intercept = 5 and slope = -3, and the second line has y-intercept = 2 and slope =  1.

Hope this helps :)

Answer:

at s = 10m, v(t_1) =  7.663 m/s

at s = 15m, v(t_2) = 10.041 m/s

Step-by-step explanation:

for the interval 0-10 seconds,

a(t) = t m/s^2

v(0) = 0

v(t) = v(0) + integral(a(t)dt)

= 0 +  [t^2/2]  

= (1/2) t^2

s(0) = 0      .................. arbitrary

s(t) = s(0) + integral(v(t)dt)

= 0 + integral ((1/2)t^2)

= (1/6)t^3

When s(t) = 10 m,

(1/6)t^3 = 10

t^3 = 60

t_1 = 60 ^(1/3) = 3.9149 s approx.

v(t_1) = (1/2) t_1^2 = (1/2)3.9149^2 = 7.663 m/s

When s = 15 m

(1/6)t^3 = 15

t^3 = 90

t_2 = 4.4814 s approx.

v(t_2) = (1/2)t_2^2 = (1/2)4.4814^2 = 10.041 m/s

Answer:

at s = 10m, v(t_1) =  7.663 m/s

at s = 15m, v(t_2) = 10.041 m/s

Step-by-step explanation:

I took the test and got it right

Answer: $96,220

Step-by-step explanation:

From the questionwe are we informed that Daniel is a very good television salesperson and that his annual sales average at $187,400 and his commission on sales is 30% while his annual base salary is $40,000.

His annual gross income will be his annual base salary plus commission annually. This will be:

= $40,000 + (30% × $187,400)

= $40,000 + (0.3 × $187,400)

= $40,000 + $56,220

= $96,220

Answer:

2

Step-by-step explanation:

opposite angles are the same

the shape opposite to 'z' is labelled with 2

which means that, that angle is 2 degrees

which also means that z would be 2 aswell.

Answer:

  A.  4.40 square units

Step-by-step explanation:

The triangle is isosceles with base angles of 70°. The a.pex angle will be ...

  180° -2(70°) = 40°

The area of a triangle can be computed from two sides and the angle between them as ...

  A = (1/2)ab·sin(γ)

  A = (1/2)(3.7)(3.7)sin(40°) ≈ 4.40 . . .  square units

Answer:

Step-by-step explanation:

[tex]\frac{27}{45} \times 100/1\\= \frac{2700}{45}\\ \\=60\%[/tex]

Answer:

60 %

Step-by-step explanation:

To find the percentage spent on fruit, take the amount spent on fruit over the total amount

27/45

.6

Change to a percent by multiplying by 100

60%

Answer:

Graph A is the one that represents the given piecewise function.

Step-by-step explanation:

Notice that the Domain of the given function has been partitioned in three sections:

[tex]-2\leq x<0\,\,; \,\,\,x = 0\,\,;\,\,\,0<x\leq 2[/tex]

in the first section we have that the function responds to [tex]f(x)=x-1[/tex], which is a line of positive slope (ascending line) equal to "1", and y-intercept at y= -1.

This line should therefore start at the point (-2, -3) (when x = -2) and end at y almost equal to -1, when x approaches the value zero; and an empty dot should be seen in the position (0, -1)

For x = 0 we should see a solid dot located at the position (0, 1) on the plane.

And finally for the third section we should see a horizontal segment (that represents a constant value of 3, starting with an empty dot at the point (0, 3), and ending on a solid dot located at (2, 3).

This is what we see represented by the graph labeled A in the list of answer options.

Answer:

B

Step-by-step explanation:

Answer:

8: 1721 m

9: 1173 m

Step-by-step explanation:

8:

[tex]d = v_{i} t + \frac{1}{2}at^{2}[/tex]

because initial velocity is 0:

[tex]d = \frac{1}{2} at^{2} = \frac{1}{2}(3.2m/s^2)(32.8 s)^2 = 1721.344 m[/tex]

9:

[tex]v_f^2 = v_i^2 + 2ad[/tex]

because velocity initial is 0:

[tex]v_f^2 = 2ad[/tex]

[tex]d = \frac{v_f^2}{2a} = \frac{(88m/s)^2}{2(3.3 m/s^2)} = 1173.3333 m[/tex]

Answer:

do it youself

Step-by-step explanation:

Answer:

negative correlation

Step-by-step explanation:

Asked my teacher

Answer:

(3, 1/2)

Step-by-step explanation:

set the equation up

x+2y=4

2x-2y=5

then solve

The correct option is B.[tex](3,\frac{1}{2})[/tex]

Given equations,

[tex]x+2y=4.....(1)\\2x-2y=5.....(2)[/tex]

The standard form for linear equations in two variables is [tex]Ax+By=C[/tex].

On comparing equation 1 and equation 2 with the standard form we get,

[tex]a_{1}=1, b_{1}=2, c_{1}=4\\a_{2}=2, b_{2}=-2,c_{2}=5[/tex]

Here,

[tex]\frac{a_{1} }{a_{2} } =\frac{1}{2} \\[/tex] and [tex]\frac{b_{1} }{b_{2} } =\frac{2}{-2} =-1[/tex]

Since [tex]\frac{a_{1} }{a_{2} } \neq \frac{b_{1} }{b_{2} }[/tex], So the given system of equation has a unique solution.

Now Adding equation 1 and 2 we get,

[tex]3x=9\\x=3[/tex]

putting the value of x in equation 1 we get,

[tex]3+2y=4\\2y=1\\y=\frac{1}{2}[/tex].

Hence the required solution of equation is [tex](3,\frac{1}{2})[/tex]. the correct option is B.[tex](3,\frac{1}{2})[/tex]

For more details follow the link:

https://brainly.com/question/11897796

Answer:

[tex]\boxed{\sf Parallelogram}[/tex]

Step-by-step explanation:

A parallelogram has opposite parallel sides and it is a quadrilateral.

Answer:

This is a parallelogram

Step-by-step explanation:

This is also a quadrilateral.

Hope this helps.

Answer:

17 cans

Step-by-step explanation:

18 cans

7 are taken away

18-7 =11

Then we put 6 back on

11+6 = 17

There are now 17 cans

Answer:

[tex]\boxed{\mathrm{False}}[/tex]

Step-by-step explanation:

[tex](p-q)^2[/tex]

[tex](p-q)(p-q)[/tex]

Use FOIL method.

[tex]p^2-pq-pq +q^2[/tex]

[tex]p^2-2pq +q^2[/tex]

Answer: 2.73 cm

Step-by-step explanation:

Given that :

Side (a) of cube = 4.4cm

Volume of a cube (V) = a^3

V = 4.4^3

V = 85.184cm^3

Therefore, volume of the sphere made = 85.184cm^3

Volume of sphere = 4/3 πr^3

Where r = radius

85.184 = (4/3)*(22/7)*r^3

85.184 = (88/21)*r^3

85.184 = 4.1905 * r^3

r^3 = 85.184 / 4.1905

r^3 = 20.327884

Take the cube root of both sides

r = 2.73 cm