-16t^2+100t+316=0
Solve the quadratic equation. Round to the nearest tenth.

Answer:

150m^3

Step-by-step explanation:

The formula for the volume a triangular prism, like the one you have, is 1/2 base x height. For your prism the volume would be 1/2 (30 x 10) which equals 150. Now just add the measurment m (meters) and you're set.

Answer:

(-16, -4)

Step-by-step explanation:

4x - 13y = -12

x = 2y - 8

Substitute for x:

4(2y - 8) - 13y = -12

8y - 32 - 13y = -12

-5y - 32 = -12

-5y = 20

y = -4

Solve for x:

4x - 13(-4) = -12

4x + 52 = -12

4x = -64

x = -16

Solution to this system: (-16, -4)

I hope this helps!

Answer:

there are two methods

1. graphical method

2. elimination method

3. substitution method

Step-by-step explanation:

remember, the sum of all angles in a triangle is always 180°.

1.

since it is a right-angled triangle, and one of the leg angles is 45°, then the other leg angle is also 45°.

which makes this an isoceles triangle.

so, the second leg is 6 too.

the baseline (Hypotenuse) is then per Pythagoras

baseline² = 6² + 6² = 36 + 36 = 72 or 2×36

baseline = sqrt(72) = 6×sqrt(2)

2.

this is then a 30-60-90 triangle.

the left leg (a) is then 2a/2 = 10/2 = 5.

and the bottom leg is 5×sqrt(3).

3.

isoceles triangle.

so, left and right legs (a) are both 3 (from the 3×sqrt(2)).

4.

30-60-90 triangle

upper leg is then 6×sqrt(3).

the baseline is 2 times the left leg : 2×6 = 12

5.

isoceles triangle

both legs are 2 (from the 2×sqrt(2)).

6.

30-60-90 triangle

left leg is 4 (from the 4×sqrt(3)).

the baseline is 2×4 = 8.

7.

isoceles triangle.

6 = a×sqrt(2)

a (both legs) = 6/sqrt(2)

8.

30-60-90 triangle

9 = a×sqrt(3)

a (left leg) = 9/sqrt(3)

baseline = 2a = 2×9/sqrt(3) = 18/sqrt(3)

9.

due to the equal leg angles this is an isoceles triangle.

4 = a×sqrt(2)

a (both legs) = 4/sqrt(2)

10.

30-60-90 triangle

the bottom leg (a) = 2a/2 = 6/2 = 3

the left leg is then 3×sqrt(3)

11.

isoceles triangle

left leg is also 5.

baseline is 5×sqrt(2)

12.

30-60-90 triangle

12 = a×sqrt(3)

a (left leg) = 12/sqrt(3)

the baseline is then 2a = 2×12/sqrt(3) = 24/sqrt(3)

Answer:

y=3x+1

Step-by-step explanation:

Answer:

The correct answer is D:-15,120

[tex]^{n}P_{r}=\dfrac{n!}{(n-r)!}\\\\\implies ^{9}P_5 = \dfrac{9!}{(9-5)!} =\dfrac{9!}{4!} = 15120[/tex]

The answer is D.

Answer:

10,582 algae plants

Step-by-step explanation:

10,582 algae plants. You have to add 810 and 9,772 to get 10,582 algae plants.

Answer:

66+20+x=180(sum of angle in a triangle)

x=180-(66+20)

x=180-86

x=94

Step-by-step explanation:

=108÷12

=9m/s

=9x0.001x1/3600

=2.5x10^6km/h

Answer:

31

Step-by-step explanation:

First put your numbers in order

44 , 64 , 68 , 68 , 68 , 70 , 72 , 74  ,

Then subtract the Highest and Lowest numbers by each other

75 - 44 = 31

Answer:

Read the explanation

Step-by-step explanation:

look at the photo

There was a total of w + 36 people at the party.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

Given, The adults and children in a neighborhood attended a party. There were 18 children.

Let "x" be the number of Persons in the party

Since,

There were w fewer children than adults.

thus,

Number of Adults in the party = w + 18

x = w  + 18

Total number of people at party = x + 18

Total number of people at party = w + 18 + 18

Total number of people at party = w + 36

Therefore, there were w + 36 people at the party.

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Answer:

  46.7 mph

Step-by-step explanation:

The speed can be found by substituting the measured skid length for the variable in the formula.

  v = √(20L)

  v = √(20×109) = √2180 ≈ 46.7

The car was traveling at approximately 46.7 miles per hour.

Step-by-step explanation:

we have to solve 2 right-angled triangles via Pythagoras

c² = a² + b²

with c being the Hypotenuse (the side opposite of the 90° angle).

one triangle is 37, 12 and the longer part of the long diagonal.

the second triangle is 13, 12 and the shorter part of the long diagonal.

the whole diagonal is then the sum of both parts.

37² = 12² + longer part²

1369 = 144 + longer part²

longer part² = 1225

longer part = 35

13² = 12² + short part²

169 = 144 + short part²

25 = short part²

short part = 5

so, the total diagonal is 35 + 5 = 40 units.

The length of the longer diagonal obtained using Pythagorean theorem is 40 units

The Pythagorean theorem is a fundamental geometric relationship that states that the square of the hypotenuse side of a right triangle is equivalent to the sum of the squares of the other two sides (the legs). Mathematically, we get

c² = a² + b²

Where a and b are the lengths of the legs  and c is the length of the hypotenuse side of the right triangle.

The diagonals of a kite are perpendicular to each other

The diagonal that is bisected in a kite is the shorter diagonal

The lengths from the left point to the middle and the distance from the right point to the middle are both 12, which indicates that the diagonal from left to right of the kite is bisected, which is the shorter diagonal. Therefore;

The length of the shorter diagonal is; 12 + 12 = 24

Therefore, the longer diagonal forms two right triangles to the left and two right triangles to the right

The hypotenuse length of the right triangles are 37 and 13, while the leg common to both right triangles on each side is half the length of the shorter diagonal, or 12

The Pythagorean theorem indicates that we get;

Length of the longer diagonal = √(13² - 12²) + √(37² - 12²) = 40

The length of the longer diagonal is 40 units

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Answer:

yes

explanation:

Your score falls within the range of scores, from 740 to 799, that is considered Very Good. A 779 FICO Score is above the average credit score. Consumers in this range may qualify for better interest rates from lenders.

Answer:

C)  8 sheets of red and 13 sheets of yellow felt

Step-by-step explanation:

Red felt

Red felt needed for 1 toy = 3/8 sheet

⇒ Red felt needed for 20 toys = 20 × 3/8 sheets

[tex]\sf \implies 20 \times \dfrac38=\dfrac{20}{1}\times \dfrac38=\dfrac{20 \times 3}{1 \times 8}=\dfrac{60}{8}=7\frac12[/tex]

Therefore, 8 complete sheets of red felt are needed.

Yellow felt

Yellow felt needed for 1 toy = 5/8 sheet

⇒ Yellow felt needed for 20 toys = 20 × 5/8 sheets

[tex]\sf \implies 20 \times \dfrac58=\dfrac{20}{1}\times \dfrac58=\dfrac{20 \times 5}{1 \times 8}=\dfrac{100}{8}=12\frac12[/tex]

Therefore, 13 complete sheets of yellow felt are needed.

Answer:

[A}

Step-by-step explanation:

Graph using the end point and a few selected points.

x     y

0     1

1     2

2  2.41

Graph also below:

Find y intercept

[tex]\\ \rm\rightarrowtail y=\sqrt{x}+1[/tex]

[tex]\\ \rm\rightarrowtail y=0+1=1[/tex]

Option A

Answer:

Step-by-step explanation: 1.587401052

Answer:

8

Step-by-step explanation:

this means

[tex] \sqrt{ {4}^{3} } [/tex]

4³ = 4×4×4 = 64

the square root of 64 is 8.

Answer:2 is a solution 3 is not 0 is not 10 is and also to determine the solution you can get calculator soup to help you Hope this helps bye

i dont understand your question

Answer:

[tex]f(x)=-5x^2+20x[/tex]

8.75 m

Step-by-step explanation:

Given ordered pairs:  (0, 0) (1, 16) (2, 20) (3, 15.5) (4, 0)

From inspection, we can see that the difference in the x-values is constant (they increase by 1 each time), yet the difference in the y-values is not constant.  Therefore, the relation is not linear.

As the y-values increase from 0 to 20 and then decrease back to 0, the curve is likely to be a parabola opening downwards.

The x-intercepts are at x = 0 and x = 4, so this suggests that the axis of symmetry is x = 2, and so the vertex is (2, 20).

Creating an equation using the x-intercepts:

[tex]f(x)=a(x-0)(x-4)[/tex]  where [tex]a[/tex] is some constant

[tex]\implies f(x)=ax(x-4)[/tex]

[tex]\implies f(x)=ax^2-4ax[/tex]

Creating an equation using the vertex form:

[tex]f(x)=a(x-2)^2+20[/tex]

[tex]\implies f(x)=ax^2-4ax+4a+20[/tex]

Equating constants to determine a:

[tex]4a+20=0 \implies a=-5[/tex]

Therefore, equation of best fit: [tex]f(x)=-5x^2+20x[/tex]

When x = 0.5:

[tex]\implies f(0.5)=-5(0.5)^2+20(0.5)[/tex]

                 [tex]=-1.25+10[/tex]

                 [tex]=8.75[/tex]

Therefore, an estimate for the height of the rocket 0.5 s after it's launched is 8.75 m

Fort nite battle pass is 8 dollars

Step-by-step explanation:

you need to calculate all the sides that are given to get the other side

It seems like they have shown you how to calculate so give it a try

Answer:

7 / 16, 3 / 7, 1 / 5

Step-by-step explanation:

1 / 5 = 0.2

3 / 7 = 0.428

7 / 16 = 0.4375

In descending order,

0.4375, 0.428, 0.2

Hence the answer is 7 / 16, 3 / 7, 1 / 5

Answer:

Total Surface Area = 1008 cm^2

Step-by-step explanation:

2 X 1/2 X (12 X 9) (Surface area of the two triangles) (Area of triangle = 1/2 Base X Height)

+ 25 X 15 (Slanted Surface)

+ 25 X 9 (Back Rectangle)

+ 25 X 12 (Bottom Rectangle)

= 1008

Answer:

25%

Step-by-step explanation:

100-80=20

20/80Ⅹ100=25%

Answer:

its gonna be 212 fam

Step-by-step explanation:

Answer:

I think the answer is 3x

Step-by-step explanation:

If i am wrong please correct me

The correct answer is 3x

So, the equation is [tex]18x^{3}+6x^{2} y-9x^{2} -3xy[/tex]

We need to find the GCF from the given equation  

[tex]3x(6x^{2} +2xy-3x-y)[/tex]

Hence, here we are getting the common factor as 3x

which the largest common factor in the given equation.

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Answer:

see explanation for detailed analysis

Answer:

3 participants

Step-by-step explanation:

7 + 6 + 5 = 18

21 - 18 = 3 participants

Answer:

15 inches cubed

Step-by-step explanation:

length 2 1/2 in

width 1 1/2 in

height 4 in

V= = l x w x h

V = 2 1/2 x 1 1/2 x 4

60/4 = 15