A barge is carrying 342,000 pounds of concrete blocks. How much weight is this in tons?

2x - 2y = 14

-2y = 14-2x

y= -7 + x

y = x - 7

Answer:

a) The equation of the arch is [tex]y = -10\cdot x^{2}[/tex].

b) The height of the arch from the ground is 810 feet.

Step-by-step explanation:

Statement is incomplete. Complete statement is:

An archway in front of a school is in the shape of a parabola. The top of the arch is the vertex (0,0). The school seal is at the focus, 2.5 feet below the vertex, and the arch is 18 feet wide at the ground.

Write an equation  that represents the arch.

What is the height from the top of the arch to the  ground?

a) Write an equation that represents the arch.

According to the statement, the archway is a vertical downward parabola. From Analytical Geometry we know that parabolas are represented by the following equation in standard form:

[tex]y-k = 4\cdot p\cdot (x-h)^{2}[/tex] (Eq. 1)

Where:

[tex]p[/tex] - Distance between vertex and focus, measured in feet.

[tex]x[/tex] - Independent variable, measured in feet.

[tex]y[/tex] - Dependent variable, measured in feet.

[tex]h[/tex], [tex]k[/tex] - Coordinates of the vertex, measured in feet.

If we know that [tex]p = -2.5\,ft[/tex], [tex]h = 0\,ft[/tex] and [tex]k = 0\,ft[/tex], then the equation that represents the arch:

[tex]y = -10\cdot x^{2}[/tex]

The equation of the arch is [tex]y = -10\cdot x^{2}[/tex].

b) What is the height from the top of the arch to the  ground?

Given that parabola is a symmetrical curve, we determine the vertical position at the base of the arch ([tex]x = 9\,ft[/tex]):

[tex]y_{min} = -10\cdot (9\,ft)^{2}[/tex]

[tex]y_{min} = -810\,ft[/tex]

Then, the height of the arch from the ground is given by this difference:

[tex]h = 0\,ft-(-810\,ft)[/tex]

[tex]h = 810\,ft[/tex]

The height of the arch from the ground is 810 feet.

Answer:

Farrah: 5 pieces of (3/4) blue yarn, 1 piece of (1 3/5) red yarn, and 1 piece of (2 1/2) green yard

Alice:  3 pieces of (3/4) blue yarn, 2 pieces of (1 3/5) red yarn, and 1 piece of (2 1/2) green yard

Pia: 9 pieces of (3/4) blue yarn

Explanation: Farrah: (0.75*5)+1 3/5+2.5 = 7.85 ft

Alice: (0.75*3)+(1 3/5*2)+2.5= 7.95 ft

Pia: 0.75*9 = 6.75 ft

Hope it helps :)

Have a good day/night

Brainliest pls?

Answer:

Step-by-step explanation:

Farrah

5 pieces of (3/4) blue yarn,

1 piece of (1 3/5) red yarn,

1 piece of (2 1/2) green yard

Alice

3 pieces of (3/4) blue yarn,

2 pieces of (1 3/5) red yarn

1 piece of (2 1/2) green yard

Pia

9 pieces of (3/4) blue yarn

Answer:

17,19,21

Step-by-step explanation:

let the first odd number be "x"

formular : (x)+(x+2)+(x+4).

3x+6=57

3x=57-6

3x=51

x=51/3

x=17

apply the formular.

17,(17+2),(17+4)

17,19,21.

Answer:

58

Step-by-step explanation:

Answer:

11.0

Step-by-step explanation:

Circumfrence = 2 x pi x r.

making radius, r the subject of relation, you.get 11.003184713

Answer:

Hey!

Your answer is 11cm!

Step-by-step explanation:

So to get the radius from the Circumference we need both the Circumference and the value of pi...3.14

Radius = [tex]\frac{C}{2\pi }[/tex] ... (that's the formula)

WE SUBSTITUTE IN:

Radius = 69.1/2 x 3.14

69.1/6.28

This equals = 10.99760656765

BUT 11cm when you round it to the next whole number or 2sf

Answer:

[tex]2.25[/tex]

Step-by-step explanation:

[tex]the \: n {}^{th} \: term \: of \: a \: gs = {a(r)}^{n - 1} = \\ 72( 0.5) {}^{6 - 1} = 72 \times 0.03125 = \\ 2.25[/tex]

Answer:

96+t=264

Step-by-step explanation:

Answer: I belive the answer would be 18 the only number we have is 52 and 36 the other answers just don't make sense, I am only taking 9th grade but hey I try!

Step-by-step explanation:

Answer:

0.666667*​x+​4-​3/​5-​2

HOPE I HELP!!!! :)

Step-by-step explanation:

11. f(-4)= 4x-1

11a. f(-4)= 4(-4)-1

11b. f(-4)= -16-1

11c. f(-4)=-17

12. For what value of x is g(x)=-4

12a. 4-? = -4

12b. 4-8= -4

12c. x = 8

13. (f(2)= 4x-1)×(g(2)= 4-x)

13a. (f(2)= 4(2)-1)×(g(2)= 4-(2)

13b. (f(2)= 8-1)×(g(2)= 4-2)

13c. (f(2)= 9)×(g(2)= 2)

13d. 18

14. f(-3)= 4x-1

14a. f(-3)= 4(-3)-1

14b. f(-3)= -12-1

14c. f(-3)= -13

4x=67 is the  equation can be used to determine the number of DVDs in Daniel's collection.

Two or more expressions with an Equal sign is called as Equation.

Given that Together, Matthew and Daniel have 67 DVDs.

M+D=67

Let x represents the number of DVDs

Matthew's collection has 3 times as many DVDs as Daniel's collection.

M=3D

Now M=D=x

As Matthew and Daniel have 67 DVDs.

3x+x=67

4x=67

Hence, 4x=67 is the  equation can be used to determine the number of DVDs in Daniel's collection.

To learn more on Equation:

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Answer -10x 2- 11x +1 (2 as a exponent) im not completely sure if its right but i tried

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer:

0.4

hope this is usefull to you

Answer:

To convert a decimal to a fraction, place the decimal number over its place value. For example, in 0.6, the six is in the tenths place, so we place 6 over 10 to create the equivalent fraction, 6/10. If needed, simplify the fraction.

Step-by-step explanation:

Answer:

[tex]to \: convert \:0.2 \: to \: fraction \: \: you \\ \: insert \: 1 \: from \: the \\ \: decimal \: point \\ \: and \: then \: zeros \: according \: to \: the \: \\ number \: of \: values \: you \: have \: after \: \\ the \: decimal \: point \: \\ \frac{2}{10} = 0.2 \\ ok \: convert \: 0.052 \: to \: fraction \: you \\ \frac{52}{1000} = 0.052[/tex]

Answer:

nice

Step-by-step explanation:

Step-by-step explanation:

12) 42

13) 10.4

14)

a) 0.25

b) 0.39

15) 2.1

16) 35.7

17) 270£

Answer:

6 shirts

Step-by-step explanation:

she spent 56 in total

56-20 for the pants

36 left and she bought 6 shirts

36 divided by 6

6

Answer:

[tex]a_{n}[/tex] = 4n - 2

Step-by-step explanation:

There is a common difference d between consecutive terms in the sequence, that is

6 - 2 = 10 - 6 = 14 - 10 = 18 - 14 = 4

This indicates the sequence is arithmetic with n th term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 2 and d = 4 , thus

[tex]a_{n}[/tex] = 2 + 4(n - 1) = 2 + 4n - 4 = 4n - 2

Answer:

N = 18

Step-by-step explanation:

Answer:

18/4

Step-by-step explanation:

Answer:

hey! You have to use the trigonometric formula because it's a rectangle triangle:

(a^2)+(b^2)=(c^2)

(11^2)+(11^2)=(c^2)

√(242)=√(c^2)

15.56=c

So basically, the answer is D!

The square ABCD has equal sides, and the length of the diagonal AC is 15.6 centimeters

The side length of the square is given as:

l = 11 cm

The length of the diagonal is calculated using:

Diagonal = l * √2

This gives

Diagonal = 11 * √2

Evaluate

Diagonal = 15.6

Hence, the length of the diagonal AC is 15.6 centimeters

Read more about squares at:

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Answer:

x=16

Step-by-step explanation:

32x−14x=288

Step 1: Simplify both sides of the equation.

32x−14x=288

32x+−14x=288

(32x+−14x)=288(Combine Like Terms)

18x=288

18x=288

Step 2: Divide both sides by 18.

18x18=28818

x=16

Answer: x = 16

Step-by-step explanation:

Hey there! I will give the following steps, if you have any questions feel free to ask me in the comments below.

Step 1: Simplify 32[tex]x[/tex] − 14[tex]x[/tex] to 18[tex]x[/tex].

18[tex]x[/tex] = 288

Step 2: Divide both sides by 18.

[tex]x = \frac{288}{18}[/tex]

Step 3: Simplify [tex]\frac{288}{18}[/tex] to 16.

[tex]x[/tex] = 16

~I hope I helped you! :)~

Answer:

y= -3x + 20

Step-by-step explanation:

just graph it out

Answer:

29.11

Step-by-step explanation:

Answer:

D would be the answer

Step-by-step explanation:

since you have a positive 12 at the end of your equation(thats your y intercept 0,12) then you can eliminate A, B. Next you would plug in (-3,0) in your equation and see if it would work and it did so thats your answer. ( i know thats not the formal way to do it but its a shortcut i like to use ;)

Using the exterior angles theorem, the measure of the exterior angle(k) is 140 degrees.

The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle.

The two remote interior angles are 76 degrees and 64 degrees.

Therefore,

76 + 64 = k

k = 140 degrees.

learn more on exterior angles theorem here: https://brainly.com/question/13904180

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