What is the value of x?

Answer:

Linda was 37.8 m away when the arrow hit the ground

Step-by-step explanation:

We are given that The arc of the arrow can be modeled by the equation :

[tex]y = -0.02x^2 + 0.65x + 4[/tex]

Where x is the horizontal distance (in meters) from Linda

y is the height (in meters) of the arrow.

Now we are supposed to find How far from Linda does the arrow hit the ground

So, y must be 0 when the arrow hits the ground

So, Substitute y = 0 in the equation :

[tex]y = -0.02x^2 + 0.65x + 4\\0 = -0.02x^2 + 0.65x + 4\\0.02x^2-0.65x-4=0\\0.02(x-37.79)(x+5.29)=0\\x=37.79,-5.29[/tex]

Since distance cannot be negative

So,Linda was 37.8 m away when the arrow hit the ground

Final answer:

To find the largest number that divides 60 and 75 and leaves remainders of 8 and 10 respectively, the GCD (greatest common divisor) can be used. The GCD between 60 and 8 is 4, and the GCD between 75 and 10 is 5. Thus, the largest number that satisfies the conditions is 4.

Explanation:

To find the largest number that divides 60 and 75 and leaves remainders of 8 and 10 respectively, we can use the concept of the greatest common divisor (GCD). The GCD is the largest number that divides two or more numbers without leaving a remainder. To find the GCD, we can use the Euclidean algorithm.

First, we divide 60 by 8. The quotient is 7 and the remainder is 4. Then, we divide 8 by 4. The quotient is 2 and the remainder is 0. Since the remainder is 0, we stop here. Therefore, the GCD of 60 and 8 is 4.

Next, we divide 75 by 10. The quotient is 7 and the remainder is 5. Then, we divide 10 by 5. The quotient is 2 and the remainder is 0. Again, since the remainder is 0, we stop here. Therefore, the GCD of 75 and 10 is 5.

Therefore, the largest number that divides 60 and 75 and leaves remainders of 8 and 10 respectively is 4.

Answer:

The mean of X, μₓ is 2

The standard deviation of X, σₓ is 1.3

Step-by-step explanation:

Here we have the expected value given by the following relation

Expected value = P(x) × n

Where:

P(x) = Probability that the event occurs

n = Number of times the event occurs

The probability of the dice showing 1  = 1/6

The number dice rolled = 12

Therefore, out of 12, the expected number of dice that show 1 in a turn = 12×1/6 = 2

The proportion, p of dice that show 1 = 1/6, hence the mean, μx = np

Standard deviation of a proportion,  [tex]\sigma _x =\sqrt{np{(1 - p)} }[/tex]

Where:

p = 1/6

n = 12

Hence;

μx = 12 × 1/6 = 2

[tex]\sigma _x =\sqrt{np{(1 - p)} } = \sqrt{12 \times \frac{1}{6} (1 - \frac{1}{6}) } = \sqrt{\frac{5}{3} } = 1.29099 \approx 1.3 \ to \ the \ nearest \ tenth[/tex]

Hence the mean and standard deviation of X are presented as follows;

The mean of X, μₓ = 2

The standard deviation of X, σₓ = 1.3.

Answer:

All integers greater than 12 (13 onwards) satisfy the inequality

Step-by-step explanation:

x + x + 1 + x + 2 > 40.

3x + 3 > 40

3x > 37

x > 12.3333

All integers greater than 12 (13 onwards) satisfy the inequality

Answer:

(10 x 5) + 50 =

(50) + 50 = 100

Step-by-step explanation:

1. do parenthesis first

2. add them together

Answer:

(10*5)+50

50+50=100

Step-by-step explanation:

Hope I helped

Answer:

21

Step-by-step explanation:

Area = 1/2 (Base x Height)

Area = 1/2 (7 x 6)

Area = 1/2 (42)

Area = 21

Answer:

Answer is B.21

Step-by-step explanation:

Answer:A

Step-by-step explanation:

The solution is, the number that the residual of that team’s win total is, -2.046, i.e. option a. -2.046.

An equation can be stated as a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

here, we have,

During a recent football season, the relationship between the number of points a team scored and the number of wins a team had is modeled by the equation w equals zero point zero three one p minus three point eight one,

i.e. w = 0.031p - 3.81

where w is the number of wins and p is the number of points scored.

now, we have,

One team in the league scored 444 points and had 12 wins.

i.e. p = 444

w = 12

so, we get,

LHS = 12

and, RHS = 9.954

so, the residual of that team’s win total is,

9.954 - 12

= -2.046

Hence, The solution is, the number that the residual of that team’s win total is, -2.046, i.e. option a. -2.046.

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Answer:

20,000 cm³

Step-by-step explanation:

The shape is a triangular prism

Base area × height

½ × 20 × 25 × 80

20,000 cm³

Answer:C

Step-by-step explanation:

The answer is "Parts A and  C  create a figure on the coordinate plane that has point symmetry about the origin" on Edge 2020

Answer:

D.  127

Step-by-step explanation:

Because our spinner is split up evenly 8 ways, we a have a 1/8th chance of getting 6 with any given spin. We will want to pick the number that is the closest to one 1/8th of 1104 from our options at the right.

Let's check them one by one. Note that 1/8 as a decimal is .125, if you are using a calculator to do this problem, decimals will be fastest and we'll work with those here.

A) 291/1104 = .264

B) 117/1104 = .106

C) 209/1104 = .189

D) 127/ 1104 = .115

Our closest number to .125 (ie, 1/8th) is .115. or 127 out of 1,104 spins.

Answer:

D, 127

Step-by-step explanation:

it would be d because if the spinners each have equal spots then you can divide it by 8. which gets you 138, but that isn't an option and its probability so its always around a number. so the closest one is 127 or D

Answer:

your answer is (1,-6)

Step-by-step explanation:

when a point is reflected in y-axis, then the y-co-ordinate remains same and then x-co-ordinate becomes the opposite of that number.

When you reflect a point across the y-axis, only the x-coordinate changes while the y-coordinate stays the same. For example:

(-x, -y) -> (x, -y)

So:

(-1, -6) -> (1, -6)

Best of Luck!

Answer:

Required was area, they provided the perimeter

Area = 6sqrt(3) m²

Step-by-step explanation:

Perimeter = 6s

6s = 12

s = 12/6 = 2m

Area = 3sqrt(3)/2 × 2²

Area = 6sqrt(3) m²

sqrt: square root

Answer:

960 cubes

Step-by-step explanation:

To find how many cubes of side 1 foot can be contained in the room, we have to find the volume of the storage room and then, divide by the volume of the cube.

The storage room is in the shape of a rectangular prism, hence, its volume is:

[tex]V = L * W * H[/tex]

where L = length

W = width

H = height

The dimensions of the storage room are:

10 feet wide, 12 feet long, and  8 feet high

Hence, its volume is:

[tex]V = 10 * 12 * 8 = 960 ft^3[/tex]

The volume of the cube of side 1 foot is:

[tex]V = S^3\\\\V = 1^3 = 1 ft^3[/tex]

Hence, the number of cubes that can be contained in the storage room is:

960 / 1 = 960 cubes

960 cubes can be stored in the storage room.

Answer:

False

Step-by-step explanation:

Answer:

-31

Step-by-step explanation:

= x - 3y^2

= -4 - 3 × 3^2

= -4 - 27

= -31

hope it helps!

Answer:

1.) 12:20

6:10

2.) 30:50

6*5=30 and 10*5=50

(6:5 is the proportional relationship)

Step-by-step explanation:

Part A: Since the base numbers are 6:5, you can multiply any number like 5 on both sides. They only have to be the same number.

Part B: Divide the numbers until you cannot any more. I divided them both by 6.

Answer:

The correct answer is A.

Step-by-step explanation:

i just did the test on edge and got it right, it’s not D, it’s A.

Answer:

A=

Step-by-step explanation:

Answer:

[tex]x=-9[/tex]

Step-by-step explanation:

[tex]5x+8-3x=-10[/tex]

Simplify to get [tex]2x+8=-10[/tex]

Find what [tex]2x[/tex] equals to by taking away 8, [tex]2x = -18[/tex].

Divide by 2 to find x, [tex]x = -9[/tex]

Answer:

X = -9

Step-by-step explanation:

Answer:

Step-by-step explanation:

To solve the quadratic equation [tex]-x^2 + 8x = 7[/tex], we first convert it to standard form and identify the coefficients. Using the quadratic formula, we find the solutions to be x = -1 and x = 7.

To solve the given quadratic equation, [tex]-x^2 + 8x = 7[/tex], we first need to bring the equation to the standard form of a quadratic equation, which is [tex]ax^2 + bx + c = 0[/tex]. We can do this by subtracting 7 from both sides, resulting in [tex]-x^2 + 8x - 7 = 0[/tex].

Now the equation is in standard form, we identify the coefficients: a = -1, b = 8, and c = -7. Applying these to the quadratic formula, x = [-b ± [tex]\sqrt(b^2 - 4ac)[/tex]] / (2a), we get:

x = [-8 ± [tex]\sqrt((8)^2[/tex] - 4(-1)(-7))] / [2(-1)]

x = [-8 ± [tex]\sqrt(64 - 28)[/tex]] / -2

x = [-8 ± [tex]\sqrt(36)[/tex]] / -2

x = [-8 ± 6] / -2

Now, solving for x, we get two solutions:

x = (-8 + 6) / -2 = -1

x = (-8 - 6) / -2 = 7

Therefore, the solutions to the quadratic equation are x = -1 and x = 7.

Answer:

f'(1) = 2

Step-by-step explanation:

f(x) = 2x^2 -2x +3

Take the derivative

f'(x) = 2 * 2x - 2 * 1

f'(x) = 4x -2

f'(1) = 4(1) -2

      =4-2

       =2

Answer:

275.248 ft

Step-by-step explanation:

this is a trigonometry question, so we first draw a triangle with height 55 and angles 11.3 (degrees) and 78.7 (degrees). tan(11.3)=55/base, so the base would be 275.248 ft.

Answer:

Our system is  :   S + L = 19,  and  3S + 6L = 87

Let # of small rooms = S

# of Large rooms = L

10 Large rooms and 9 Small rooms

Step-by-step explanation:

Let # of small rooms = S

# of Large rooms = L

S + L = 19

3*S + 6*L = 87

Our system is  :   S + L = 19,  and  3S + 6L = 87

solve.

S = 19 - L

3*(19 - L) + 6L = 87

57 - 3L + 6L = 87

57 + 3L = 87

3L = 30

L = 10

S = 19 - 10 = 9

Answer:

Step-by-step explanation:

Let the number of smaller rooms be x

Total rooms are 19. So, number of larger rooms  = 19 - x

Total guests = 87

3x + (19-x)6 = 87

Answer:

-5

Step-by-step explanation:

To find the slope between two points we use

m = (y2-y1)/(x2-x1)

    = (3 - -2)/(2 - 3)

    = (3+2)/(2-3)

    = 5/ -1

    - 5

Answer:

M=-5

Step-by-step explanation:

y2-y1 over x2-x1

3+2 divided by 2-3

5/-1

-5

Answer:

a   125600 cm^3

b    327910.2 m^3

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h

a   = 3.14 (20)^2 100

  =125600 cm^3

b  We know the diameter  r =d/2 = 118/2 =59

V = pi r^2 h

         3.14 (59)^2 *30

        327910.2 m^3

Answer:

1) 125,600 cm³

2) 327,910.2 m³

Step-by-step explanation:

Volume of cylinder: pi × r² × h

1) 3.14 × 20² × 100

125,600 cm³

2) 3.14 × (118/2)² × 30

327,910.2 m²

Answer:

m = [tex]\frac{-1}{2}[/tex]

Step-by-step explanation:

The slope of (0,3) (4,1) =

[tex]\frac{-1}{2}[/tex]

Hope this helps :)

Answer:

6a+12b+18c

Step-by-step explanation:

Multiply 6 with the numbers inside the parentheses.

Answer:

Step-by-step explanation:

good job :)

The answer is option B) A larger circle is 1 foot larger than the smaller circle.

The area of a circle is pi times the radius squared (A = π r²). Learn how to use this formula to find the area of a circle when given the diameter.

Problem-solving is the act of defining a problem; determining the cause of the problem; identifying, prioritizing, and selecting alternatives for a solution; and implementing a solution.

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Answer:

5 days 12 hours = 7920 minutes. x = 5280 feet = 1 mile.

Step-by-step explanation:

Answer:

answer is 5 days and 12 hours

Step-by-step explanation:

hope we can be friends

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