A juice dispenser holds 11.5 liters of orange juice and
dispenses juice at a rate of 0.1 liters per second. If a student
dispenses juice into a pitcher for 36 seconds, how many
liters of orange juice will be left in the dispenser afterward?

9514 1404 393

Answer:

  (c)  CPCTC

Step-by-step explanation:

Even if you don't know the meaning of CPCTC, you can eliminate the other choices because they refer to the whole triangle, not two corresponding angles.

Angles B and D are corresponding angles in the congruent triangles. The reason they are congruent is ...

  Corresponding Parts of Congruent Triangles are Congruent (CPCTC)

Answer:

Isaac = x

Step-by-step explanation:

Erika is 3y older than Isaac

Isaac is x years old

Answer:  x+3

Work Shown:

x = Issac's age right now

x+7 = Erika's age right now

(x+7)-4 = x+3 = Erika's age four years ago

Answer:

Hello,

Step-by-step explanation:

f(x)=x+3 if -3≤x≤-1

(the line is passing trough (-3,0) and (-1,2) ==> y-0=(x+3)((2-0)/(-1+3) ==> y=x+3

f(x)=5 if -1≤x≤1

Answer:

sory

Step-by-step explanation:

soryuuuiuuuiiiiiiijjjjkkkkkj

Answer:

B.

[tex] \frac{275\pi}{6} {m}^{2} [/tex]

Step-by-step explanation:

[tex]area \: of \: sector \: is \\ \frac{the \: angle}{360} \times \pi {r}^{2} \\ hence \: we \: have \\ \frac{165}{360} \times {(10m)}^{2} = \frac{275\pi}{6} {m}^{2} [/tex]

Answer:

5x​(5x+1)^2

= 5x(25x^2+10x+1)

= 125x^3+50x^2+5x

Answer:

4,877,034=70,000

4,877,034=7,000

Explanation:

Place value is the value of each digit in a number. For example, the 5 in 350 represents 5 tens, or 50; however, the 5 in 5,006 represents 5 thousands, or 5,000. It is important that children understand that whilst a digit can be the same, its value depends on where it is in the number.

Hope this helps <3

Need thanks? Comment /hearthelp

Answer:  Choice A)  -3

Work Shown:

[tex]\log_{2}(x+7) = 2\\\\x+7 = 2^2\\\\x+7 = 4\\\\x = 4-7\\\\x = -3\\\\[/tex]

Which leads us to choice A. In the second step, I used the rule that [tex]\log_b(y) = x[/tex] is equivalent to [tex]y = b^x[/tex]. For each equation, the b is the base. Note how logs undo exponents and vice versa.

Answer:

-3

Step-by-step explanation:

log2(x+7) = 2​

Raise each side by base 2

2^log2(x+7) = 2^2​

x+7 = 4

Subtract 7 from each side

x+7-7 = 4-7

x=-3

Answer:

  x = 3

Step-by-step explanation:

A vertical line has undefined slope. Its equation is of the form x=c, for some constant c.

To make sure the line passes through a point with an x-coordinate of 3, the constant in the equation must be 3:

  x = 3 . . . . . . vertical line through (3, -7)

Answer:

A = 104 ft²

Step-by-step explanation:

The area (A) of a trapezium is calculated as

A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )

where h is the perpendicular height and b₁, b₂ are the parallel bases

Here h = 8, b₁ = 10 + 6 = 16, b₂ = 10 , then

A = [tex]\frac{1}{2}[/tex] × 8 × (16 + 10) = 4 × 26 = 104 ft²

Answer:

A. (3, 5)

Step-by-step explanation:

J is currently at (3, -5). As it's reflected, the x coordinate will stay the same, and the y coordinate will switch signs since we're going from negative to positive. Our answer is (3, 5).

I would go with C as a first step

The correct answer is C (that is equating f(x) and g(x))

A quadratic polynomial has highest degree 2 and a linear polynomial has highest degree 1.

In geometric sense, solving them means finding the point of intersection of curves:

In X-Y plane, these polynomials can be written as:

[tex]y=-x^{2} +2x+3\\y=-2x+3[/tex]

Taking the value of y from second equation and substituting it in first equation we get,

[tex]-x^{2} +2x+3=-2x+3[/tex]

Therefore, with the above procedure, we got the first step of solving the equations with the help of substitution.

To know more about polynomials refer to:

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Answer:

its 80 meters longs

Step-by-step explanation:

if it is wrong just go look it up

Answer:

x = -4

Step-by-step explanation:

3x + 5 = x - 3

Subtract x from each side

3x+5-x = x-3-x

2x+5 = -3

Subtract 5 from each side

2x+5-5 = -3-5

2x = -8

Divide each side by 2

2x/2 = -8/2

x = -4

Answer:

True.

Step-by-step explanation:

[tex]\frac{(10)-2}{4}=2\\\\\frac{8}{4}=2\\\\2=2[/tex]

Answer: the answer is

the option

B) Amy walks a distance equal to the radius, and Fraser walks a distance equal to the diameter of the lawn.

Step-by-step explanation:

Answer:

A.1/3 B.5/8 C.1/25

Step-by-step explanation:

just simplify it down to the lowest

Answer:

Ä. 16/24 as reduced fraction = 2/3

B. 15/24 as reduced fraction= 5/8

Answer:

there is always a y-intercept in all graphs.

Step-by-step explanation:

be it a line graph, quadratic graph or cubic graph. all graphs will definitely have a y-intercept. and in this case, since y=mx + c where c is the y-intercept. the y intercept of this graph is 10

Answer:

C. The amount of money that is raised

Step-by-step explanation:

in the equation, it is the amount of money that is raised because how much money is raised affects the amount of basketballs purchased.

In other words, if the amount of money is less, then there will be less basketballs purchased as a result. If the amount of money is more, then there will be more basketballs purchased as a result.

Answer:

C. the amount of money that is raised

Step-by-step explanation:

I always think of it like this:

independent: money they are raising

dependent: the amount of a certain item the money is being used on

Answer:

45 times 89

Step-by-step explanation:

The instuments are irrelevant and are only there to distract you.

Answer:

45 times 89 equals 4005

Step-by-step explanation:

Answer:

volume=pi times r^2 height÷3.

r is the radius, or in this case 4yd. height is 10yd. pi is 3.14

Here are the steps:

3.14r^2 height÷3

3.14×4^2 10÷3

=167.55

final answer rounded to the nearest tenth: 167.6

I apologize for getting the math wrong the first time. My formula was correct, but I needed to double check my calculations. I'm certain this is the right answer.

Hi

P and Q only intersect for 2 as 2 is common for P and Q . So P U Q = 2

For the diagram :

One big circle name U with 1 on the

Far corner left and 9 on the far right corner.

Then on the left, a circle within circle U with the number Of P

Same with Q on the right.

But P and Q must intersect on number 2 as 2 is in both circles.

ps : nothing oblidge you to set the number on mathematical order. Of it'esasier to do the circles, do it whatever you like as long as you respect what is said.

Answer:

It's the second option

Step-by-step explanation:

Graph for -(x+3)(x+1)

The graph of f(x) = -(x + 3)(x + 1) is the option B.

A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.

Given function is,

f(x) = -(x + 3)(x + 1)

Simplifying,

f(x) = - (x² + 3x + x + 3)

f(x) = -x² - 4x - 3

This is a quadratic function, the graph of which is a parabola.

Leading coefficient is negative, so the parabola opens downward.

Options are either A or B.

x coordinate of the vertex of a parabola of equation ax² + bx + c is -b/2a.

Here x coordinate = -(-4) / (2 × -1) = -2

The vertex of first graph is (2, 1) and that of second graph is (-2, 1).

The correct option is second graph.

Hence the second graph is the graph of the given function.

Learn more about Quadratic functions here :

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Mill rate is a tax rate—the amount of tax payable per dollar of the assessed value of a property. Mill is derived from the Latin word millesimum, meaning thousandth. As used in property tax, 1 mill is equal to $1 in property tax levied per $1,000 of a property's assessed value.

Answer:

Step by Step Solution

More Icon

STEP

1

:

3

Simplify ——

x2

Equation at the end of step

1

:

3

((((2•(x2))-5x)-——)+2x)-3

x2

STEP

2

:

Equation at the end of step

2

:

3

(((2x2 - 5x) - ——) + 2x) - 3

x2

STEP

3

:

Rewriting the whole as an Equivalent Fraction

3.1 Subtracting a fraction from a whole

Rewrite the whole as a fraction using x2 as the denominator :

2x2 - 5x (2x2 - 5x) • x2

2x2 - 5x = ———————— = ———————————————

1 x2

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

STEP

4

:

Pulling out like terms

4.1 Pull out like factors :

2x2 - 5x = x • (2x - 5)

Adding fractions that have a common denominator :

4.2 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

x • (2x-5) • x2 - (3) 2x4 - 5x3 - 3

————————————————————— = —————————————

x2 x2

Equation at the end of step

4

:

(2x4 - 5x3 - 3)

(——————————————— + 2x) - 3

x2

STEP

5

:

Rewriting the whole as an Equivalent Fraction :

5.1 Adding a whole to a fraction

Rewrite the whole as a fraction using x2 as the denominator :

2x 2x • x2

2x = —— = ———————

1 x2

Polynomial Roots Calculator :

5.2 Find roots (zeroes) of : F(x) = 2x4 - 5x3 - 3

Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers

Answer:

Does the answer help you?

Answer:

carna estralia con frema es 36+12.125tt ernits es answeana

Step-by-step explanation:

Answer:

18+12.125π units²

Answer:

2x+2

Step-by-step explanation:

The first odd integer is x

The second odd integer is x+2

The sum

x+ x+2

2x+2