24. Use the intercepts to graph the equation.

Answer:

0.973

Step-by-step explanation:

Solution

I'm going to discuss one way to do it, and then show a much better way.

If you attack the problem directly, there are 3 ways of placing just 1 day not being late

0.7 * 0.3 * 0.3  = .063

0.3 * 0.7 * 0.3 =  .063

0.3 * 0.3 * 0.7  = 0.63

Making it on on time on two days gives you 3 equations as well

0.7* 0.7 * 0.3 = .147

0.7* 0.3 * 0.7 = .147

0.3 * 0.7 * 0.7 = .147

Making it on time all three days

0.7 * 0.7 * 0.7 = .343

If you add add these up, you should get 0.973

There is a better way. First calculate what happens if he is late all three days.

0.3 * 0.3 * 0.3 = 0.027     No on times (.7) anywhere.

If you take 0.027 away from 1, you get 0.973 That takes care of all the times he was on time. Much neater and easier, no?

If the height of a right triangular prism is 1 5/6 inches. The surface area of the solid formed is: 598.33 in².

First step

Right triangular prism=1 5/6 inches= 11/6 inches

Height of the base=8 2/3 inches = 26/3 inches

Second step

Surface area = 5(10× 10) + (0.5÷ 10 × 26/3) + 3(10× 11/6)

Surface area = 5(100) +43.33+ 3(18.33)

Surface area = 500) +43.33 + 55

Surface area = 598.33 in²

Therefore the surface area of the solid formed is about 598.33 in²

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Answer:

133.97 cu yds

Step-by-step explanation:

volume is 1/3 x pi x r^2 x h

The length of the diagonal will be 538.5 ft. Then the rate at which the angle from the man to the car is changing at the same moment will be 46.43 ft/s.

The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.

We know that the speed formula

Speed = Distance/Time

A man stands 200 ft to the left of where a car starts moving north. The car is moving at 50ft/sec.

The rate at which the diagonal distance from the man to the car is changing once the car has been traveling for 10 seconds. Then the length of the diagonal will be

L² = x² + y²

L² = 200² + (50 × 10)²

L² = 40000 + 250000

L² = 290000

L = 538.50 ft

Then the rate at which the angle from the man to the car is changing at the same moment will be

L² = x² + y²

Differentiate with respect to time, then we have

         2L (dL/dt) = 0 + 2y (dy/dt)

2(538.5) (dL/dt) = 2 (500) (50)

                dL/dt = 46.43 ft/sec

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Answer:

C

Step-by-step explanation:

Answer:

Jeff, 4.5 hours; Julia 9 hours.

Step-by-step explanation:

To solve the problem, we need to write two equations using the given information.

So, writing the first equation we have:

We know that Jeff can weed the garden twice as fas as his sister Julia, so:

Also, from the statement we know that they can weed the garden in 3 hours, so, writing the second equation we have:

Then, we need to substitute the first equation into the second equation in order to isolate Julia's rate, so, solving we have:

We have that Julia could weed the garden by herself in 9 hours.

So, calculating how long will it take to Jeff, we have:

We have that Jeff could weed the same garden by himself in 4.5 hours.

hope this helps!

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's solve ~

[tex]\qquad \sf  \dashrightarrow \: log_{5}(2x) = 4[/tex]

[tex]\qquad \sf  \dashrightarrow \: 2x= {5}^{4} [/tex]

[tex]\qquad \sf  \dashrightarrow \: 2x= 625[/tex]

[tex]\qquad \sf  \dashrightarrow \: x= 625 \div 2[/tex]

[tex]\qquad \sf  \dashrightarrow \:x = 312.5[/tex]

I Hope you understood the procedure ~

Answer:

3:1 or 9:3

Step-by-step explanation:

It wants a ratio of larger rectangle : smaller rectangle.

All we have to do is replace the values and we get 9:3, or simplified, 3:1

Hope this helped! I would appreciate a Brainliest if you wouldn't mind!

true...

cus their angles are same... if you rotate the second triangle once to the left side

hope it helps...!!!

Answer:

48 degrees.

Step-by-step explanation:

Adjacent angles add up to 180 degrees. 132 degrees and angle 1 should add up to 180 when added together.

132+angle 1 =180

angle 1=180-132

angle 1=48 degrees

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

[tex] \textsf{According to given question, lines k and l are parallel to each other } [/tex]~

[tex] \textsf{and we can clearly observe that} [/tex][tex] \sf{ \angle 1} [/tex][tex] \textsf{forms Co- interior angle pair with 132° } [/tex]

[tex] \textsf{[ sum of co - interior angle pair = 180° ] } [/tex]

[tex]\qquad \sf  \dashrightarrow \: \angle1 + 132 = 180[/tex]

[tex]\qquad \sf  \dashrightarrow \: \angle1 = 180 - 132[/tex]

[tex]\qquad \sf  \dashrightarrow \: \angle1 =48 \degree[/tex]

[tex] \texttt{So, the correct choice is C} [/tex]

Answer:

82/9

Step-by-step explanation:

x - 1/x = 4

x - 1 = 4x

-1 = 3x

- 1/3 = x

from there just substitute in x for x² + 1/x² to get:

82/9 or 9.1 recurring

Answer:

112 are in each box

336 are edible

Step-by-step explanation:

672÷6= 112

672÷2= 336

Negative when subtracted is counted as positive because negative multiplied with negative gives positive

-10-(-6)

-10+6

-4 answer

Answer:

-4

Step-by-step explanation:

(-10)-(-6)=

-10 + 6=

-4

hope this helps

have a good day

Answer:

48 weeks to save $108

Step-by-step explanation:

$13.50 = 6 weeks so dividing both sides by 6 would find out how much each week

$13.50 / 6 = 6 / 6 weeks

$2.25 = per week

so $2.25 times _____ = $108

2.25x = 108 divided both side by 2.25 to get x alone

x is defined by the number of weeks

2.25x / 2.25 = 108 / 2.25

x = 48            $2.25 times   48   = $108

The volume of a sphere with a radius of 39.6 m, rounded to the nearest tenth is 341416.9 cubic meters

The volume of a sphere can be calculated using the formula V = (4/3)πr³, where V is the volume, π is a constant with a value of approximately 3.14, and r is the radius of the sphere.

To find the volume of a sphere with a radius of 39.6 m, we can substitute this value into the formula and simplify:

V = (4/3)πr³

V = (4/3)π(39.6)³

V ≈ 341416.8 cubic meters

Since the question asks us to round to the nearest tenth of a cubic meter, we look at the digit in the hundredth place, which is 6 in this case. Since 6 is greater than or equal to 5, we round up the digit in the tenths place, which is 8. Therefore, the volume of the sphere rounded to the nearest tenth of a cubic meter is:

V ≈ 341416.8 cubic meters ≈ 341416.9 cubic meters

In summary, to find the volume of a sphere, we use the formula V = (4/3)πr³, where V is the volume, π is a constant, and r is the radius. We can then round the answer to the nearest tenth of a cubic meter by looking at the digit in the hundredth place and rounding up if the digit in the tenths place is 5 or greater.

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Answer:

Left side                                  Right side

1                                                   3

2                                                  2

3                                                  1

Step-by-step explanation:

left side on the picture right side on the picture

If Circle K has a radius of 8 inches. The figure that is closest to the length of FA is: 14.8.

MAC=1/2×360°=180°

mΔAFC=1/2×180°=90°

Circumference angle theorem

AK=8

AC=2

AK=16

Pythagorean theorem

FA²+FC²=AC²

Substitution

FA²+6²=16²

FA²+36=256

FA²=√220

FA=14.8

Therefore the figure that is closest to the length of FA is: 14.8.

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M 3,3

Step-by-step explanation:

the coordinates are in the y 3

Step-by-step explanation:

a rhombus.

all 4 sides are of equal length.

Answer:

hope this helps!:)

Answer:

Step-by-step explanation:

The parameter of interest can be found by putting the given values into the appropriate volume or area formula for a pyramid, then solving for the unknown. The relevant formulas are ...

  V = 1/3s²h . . . . . s is the base length; h is the height

  A = s(s +2h) . . . . s is the base length; h is the slant height

__

Using the given values for the volume and the length of the base, the formula becomes ...

  V = 1/3s²h

  96 m³ = 1/3(6 m)²h . . . . . . . . . . use the given values for V, s

  (96 m³)/(12 m²) = 8 m = h . . . . . divide by the coefficient of h

The height of the pyramid is 8 meters.

__

Using the given values for area and the length of the base, the formula becomes ...

  A = s(s +2h)

  47.25 in² = (3.5 in)(3.5 in + 2h) . . . . use the given values for A, s

  13.5 in = 3.5 in + 2h . . . . . . . . . . . divide by 3.5 in

  10 in = 2h . . . . . . . . . . . . . . . . . subtract 3.5 in

  5 in = h . . . . . . . . . . . . . . . . divide by 2

The slant height of the pyramid is 5 inches.

The age of people entering a super store  is likely to be normally distributed.

The heights of people entering a super store  is likely to be normally distributed.

The number of 8 oz glasses of milk in 1 gallon is not likely to be normally distributed.

The gallons of milk sold at the super store in one week is likely to be normally distributed.

A normal distribution is a probability distribution that is symmetric around the mean of the distribution. When depicted on a graph, a normal distribution is bell-shaped.

People of all ages and heights would enter a superstore. Thus, the distribution is likely to be normal.  The  8 oz glasses of milk in 1 gallon is a constant amount. Thus, the distribution is not likely to be normal.

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Answer:

10, 20, 15

Step-by-step explanation:

10 is the lowest so that leaves the mean and range well the range is the highest value minus the lowest and the range is 10 so 20-10=10

so we now have 10 and 20 so then what number divided by three as in three darts equals 15 I go down the list and I get 45/3 and it equals 15

Answer:

rational real whole

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

Use the roots given to make this :

(x+3) (x-1/2)  = 0

   you can do the multiplication (if required) to get

x^2 + 2.5x - 1.5 = 0      now you can multiply by 2 to get rid of the decimals

2x^2 + 5x - 3 = 0

   All three are correct......pick the format you want ....

Answer:

5ft

Step-by-step explanation:

8/10=0.8

4/0.8=5

answer = 70

top triangle

1/2 times 5 times 5 = 12.5

12.5 times 2 = 25

bottom

14 - 5 = 9

1/2 times 5 × 9 = 22.5

22.5 times 2 = 45

45 + 25 = 70

The area of the kite is [tex]70in^2[/tex]

The area of a kite measures the space inside the four sides. The most common way to find the area is by using the formula A = xy/2, where x and y are the lengths of the diagonals.

Given;

[tex]10_{14}=140[/tex] ÷ [tex]2=70[/tex]

[tex]70_2=140[/tex]

Therfore, the area of the kite is [tex]70in^2[/tex]

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