Martha is following a recipe for 13 liters of punch that uses 8 liters
of pineapple juice and the rest lemonade.
How much pineapple juice is used for every liter of lemonade? What is the ratio of liters of pineapple juice to liters of punch ?

Answer:

Step-by-step explanation:

The function rule g(x) after the given transformations of the graph of f(x)=4x is g(x) = -1/2x

Transformation techniques

Transformation is the process of changing the position of an object on the xy-plane.

Given the parent function

f(x) = 4x

If the function is not reflected over x-axis, the resulting function will be f(x) = -4x

If the resulting function is compressed by a factors of 1/8, hence the final function rule will be;

g(x) = 1/8(-4x)

g(x) = -1/2x

Hence the function rule g(x) after the given transformations of the graph of f(x)=4x is g(x) = -1/2x

Learn more on transformation here: brainly.com/question/4289712

#SPJ6

Answer:

10x5 1/2= 55 x 4= 220 so the answer is 220in3

Step-by-step explanation:

Answer: 220 inches cubed

Step-by-step explanation:

10x5.5 equals 55. Multiply 55 by 4 and you get 220.

Answer:

49

Step-by-step explanation:

Convert the dot plot into numbers

40, 40, 40, 45, 45, 50, 55, 55, 60, 60

Add all together

40+40+40+45+45+50+55+55+60+60 =490

Divide by amount of numbers there are

Amount of numbers = 10 --> 490/10 = 49

Mean = 49

Answer:

A radical equation is an equation in which a variable is under a radical. To solve a radical equation: Isolate the radical expression involving the variable. If more than one radical expression involves the variable, then isolate one of them.

Step-by-step explanation:

PLS MAKE ME AS BRAINLIST

Answer: When solving an equation with one radical, you isolate the radical on one side and then square each side. When there is more than one radical expression in an equation, you isolate one of the radicals and then square each side. Then, you isolate the other radical and square each side. In both cases, once you have eliminated all radical signs, you solve for the variable.

Step-by-step explanation: This is the possible answer given on edg.

For given trapezoid, the measures of angles A, B, and D are 40 degrees and 50 degrees, respectively.

A trapezoid is a quadrilateral with one pair of parallel sides. The parallel sides are called the bases of the trapezoid, and the other two sides are called the legs. The legs may be of equal length, or they may be different lengths.

Since trapezoid ABCD has two parallel sides, we know that angle A + angle D = 180 degrees. Similarly, angle B + angle C = 180 degrees.

Therefore, we can write:

angle A + angle B + angle C + angle D = 360 degrees

Substituting angle A = angle B and angle C = angle D, we get:

2(angle A) + 2(angle C) = 360 degrees

Simplifying:

2(angle A) + 2(50)= 180 degrees

2(angle A) = 180 degree-100 degree

2(angle A) = 80 degree

angle A= 80 degree/2

angle A = 40 degree

Since we know that angle A = angle B

angle B= 40 degree

Therefore,

angle A = angle B = 40 degrees

angle D = angle C = 50 degrees

So the measures of angles A, B, and D are 40 degrees and 50 degrees, respectively.

To know more about trapezoid visit:

https://brainly.com/question/1410008

#SPJ1

Answer:

x intercept: (-8,0)

y intercept: (0,2)

Answer:

I think answer is D but it could be wrong not sure

Answer:

slope = 6

tangent line y=6x-5

Step-by-step explanation:

Answer: tell me the soulation like how do you solve it then I can help

Step-by-step explanation:

Using the concept of word problems and quadratic equation it will take 1 year until the sum of square of their ages be 45.

Word problems are mathematical problems that are delivered in ordinary words, instead of mathematical symbols.

Part of the problem with dealing with word problems that they first need to be translated into mathematical equations, and then the equations need to be solved.In this problem;

let x represent the number of years from now when the sum of square of their respective age will be

45.(x + 2)² + (x + 5)² = 45

Expanding the brackets;

x² + 4x + 4 + x² + 10x + 25 = 45

2x² + 14x + 29 = 45

2x² + 14x + 29 - 45 = 0

2x² + 14x - 16 = 0

Solving the quadratic equation for x;

x = 1, x = -8

Taking the positive value, the value of x is 1

Learn more on age word problems here;

https://brainly.com/question/17043336

#SPJ1

Answer:

a

Step-by-step explanation:

Answer:

Not particularly, as your answer would be the same either way, though practicality would turn negative 9 into minus 9, so it would go from

x + (-9) + 9 and become x -9 +9.

Also, the -9 and the 9 would cancel out.

The equation is (6 - x)² + 2 = -10.

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.

An absolute numerical number is referred to as a constant.

Variable: A symbol without a set value is referred to as a variable.

Given a phrase

“the square of the difference of six and a number, increased by two, is the same as negative 10”

the first part of phrase is,“the square of the difference of six and a number"

let the number be x

(6 - x)²

increased by 2

(6 - x)² + 2

is the same as negative 10

(6 - x)² + 2 = -10

Hence the equation is (6 - x)² + 2 = -10.

Learn more about expression;

https://brainly.com/question/14083225

#SPJ2

1. The math fact completion rate for each student is:

Kiara: m = 5t, where t represents the time in seconds, and m represents the number of math facts completed. Therefore, Kiara's math fact completion rate is 5 math facts per second.

Giovanni: Giovanni's math fact completion rate is 4 math facts per second.

Ebony: Ebony's math fact completion rate is 12 math facts per second.

2. Ebony would win the argument, as she has the highest math fact completion rate.

The arc cossecant of the given value is of 30º.

The cosecant of an angle is given by the ratio between 1 and the sine of the angle, as follows:

cos(x) = 1/sin(x)

The arc cossecant of an angle is represented by the expression arc csc(x), and represents the inverse of the cossecant, that is, it is the angle which has a cosecant of x.

In this problem, the arc cossecant that is asked is:

\(\arccsc{\left(\frac{2}{3\sqrt{3}}\right)}\)

Basically, it asks for the angle which has a cossecant value of 2/(3sqrt(3)). This angle is found using a calculator, and it is of 30º.

Hence the numeric value of the expression is presented as follows:

\(\arccsc{\left(\frac{2}{3\sqrt{3}}\right)} = 30^\circ\)

More can be learned about cossecant and arc cossecant at https://brainly.com/question/13276558

#SPJ1

Answer:

Favorite Rocket Ship

Little Einsteins

Step-by-step explanation:

Answer:

He can buy 34 containers with a remainder of one dollar.

Step-by-step explanation:

11 x 30 = 330

375 - 330 = 45

11 x 4 = 44

45 - 44 = 1

Answer:  The answer to this is.............

                 34 containers

Step-by-step explanation:

k12

sorry if I am late

hope this helps

The angles of the triangle KHP are P ≈ 118.555°, H ≈ 34.614°, K ≈ 26.844°, respectively.

In this question we have the case of a triangle where the lengths of three sides are known and measures of angles must be determined. The missing angles can be found by means of law of cosine, whose equations related to the triangle are introduced below:

p² = h² + k² - 2 · h · k · cos P

h² = p² + k² - 2 · p · k · cos H

k² = h² + p² - 2 · h · p · cos K

Where:

If we know that h = 16.1, p = 24.9 and k = 12.8, then the measures of the angles are:

cos P = (p² - h² - k²) / (- 2 · h · k)

cos P = (24.9² - 16.1² - 12.8²) / (- 2 · 16.1 · 12.8)

cos P = - 0.478

P ≈ 118.555°

cos H = (h² - p² - k²) / (- 2 · p · k)

cos H = (16.1² - 24.9² - 12.8²) / (- 2 · 24.9 · 12.8)

cos H = 0.823

H ≈ 34.614°

cos K = (k² - h² - p²) / (- 2 · h · p)

cos K = (12.8² - 16.1² - 24.9²) / (- 2 · 16.1 · 24.9)

cos K = 0.892

K ≈ 26.844°

Triangle KHP has the following missing angles: P ≈ 118.555°, H ≈ 34.614°, K ≈ 26.844°.

To learn more on law of cosine: https://brainly.com/question/17289163

#SPJ1

9514 1404 393

Answer:

  Left: area: 702 square feet; perimeter: 114 feet

  Right: area: 20 square inches; perimeter: 24 inches

Step-by-step explanation:

Left Figure

The unmarked horizontal edge of the figure is 30 ft -24 ft = 6 ft long. The area of the figure can be figured as the difference between the 27 ft by 30 ft enclosing rectangle, and the 18 ft by 6 ft "notch" taken from the upper right corner of that.

  area = (27 ft)(30 ft) -(18 ft)(6 ft) = 810 ft² -108 ft² = 702 ft²

The perimeter is the sum of the side lengths. The sum of vertical side lengths is 2×27 ft; the sum of horizontal side lengths is 2×30 ft, so the perimeter is ...

  54 ft +60 ft = 114 ft . . . perimeter

__

Right Figure

The unmarked horizontal segment at the top of the figure is 7 in -3 in -2 in = 2 inches long. This means the area can be divided into two rectangles: the bottom one 2 in by 7 in, and the one sticking up from that 3 in by 2 in. The total area of the figure will be ...

  (2 in)(7 in) +(3 in)(2 in) = 14 in² +6 in² = 20 in² . . . area

The perimeter is the sum of the side lengths. The sum of vertical side lengths is 2×(2 in+3 in), and the sum of horizontal side lengths is 2×7 in. Then the perimeter is ...

  2×(5 in) +2×(7 in) = 10 in +14 in = 24 in . . . perimeter

Answer:

Even numbers are in The Two-times Table and end in 2, 4, 6, 8, or 0. Odd numbers have 1, 3, 5, 7, 9 as the Ones digit. Example 1: 47 is odd (it has an odd number '7' as the Ones digit).

Answer:

Even numbers are involved in the 2 times table because they end in 2,4,6,8 and they can be divided by two

but odd numbers can't because they end in 1,3,5,7,9 which makes them not able to be divided by two

Answer:

Step-by-step explanation:

y

=

1

3

x

−

3

Use the slope-intercept form to find the slope and y-intercept

Slope:

1

3

y-intercept:

(

0

,

−

3

)

Any line can be graphed using two points. Select two

x

values, and plug them into the equation to find the corresponding

y

values.

x

y

0

−

3

3

−

2

Graph the line using the slope and the y-intercept, or the points.

Slope:

1

3

y-intercept:

(

0

,

−

3

)

x

y

0

−

3

3

−

2

image of graph

Answer:

6.02775720469

Step-by-step explanation:

step one: double check with calculator pls :)

step two pls brainliest

The simplified form of √([2m5z6]/[xy]) is (√2m√5z√6) / (√x√y).

To simplify the expression √([2m5z6]/[xy]), we can break it down step by step:

Simplify the numerator:

√(2m5z6) = √(2) * √(m) * √(5) * √(z) * √(6)

= √2m√5z√6

Simplify the denominator:

√(xy) = √(x) * √(y)

Combine the numerator and denominator:

√([2m5z6]/[xy]) = (√2m√5z√6) / (√x√y)

Thus, the simplified form of √([2m5z6]/[xy]) is (√2m√5z√6) / (√x√y).

For such more questions on simplified form

https://brainly.com/question/28323654

#SPJ8

Answer:

false because simplifying it would be 2(square root 10) so it will be an irrational number

The set of ordered pairs that represents a function is (D) {(-6, -3), (-4, -3), (-3, -3), (-2, -3), (0, 0)}.

A set of ordered pairs represents a function if each unique input (x-value) is associated with only one output (y-value).

{(-4, -3), (-2, -1), (-2, 0), (0, -2), (0, 2)}

In this set, both (-2, -1) and (-2, 0) have the same x-value but different y-values. Therefore, this set does not represent a function.

{(-5, -5), (-5, -4), (-5, -3), (-5, -2), (-3,0)}

In this set, all the ordered pairs have the same x-value (-5). Since (-5, -5), (-5, -4), (-5, -3), and (-5, -2) have the same x-value but different y-values, this set does not represent a function.

{(-4, -5), (-4, 0), (-3, -4), (0, -3), (3, -2)}

In this set, (-4, -5) and (-4, 0) have the same x-value but different y-values. Therefore, this set does not represent a function.

{(-6, -3), (-4, -3), (-3, -3), (-2, -3), (0, 0)}

In this set, each unique x-value is associated with a single y-value. There are no repeated x-values. Therefore, this set represents a function.

To learn more on Sets click:

https://brainly.com/question/30705181

#SPJ1

Answer:

2.542

Step-by-step explanation:

Given the data :

Customer Pre-training Survey, x1 __Post-training Survey, x2 __ difference, d = (x2-x1)

A 6 8 2

B 5 5 0

C 10 10 0

D 7 10 3

E 6 8 2

F 5 6 1

G 2 8 6

This is a paired test as each subject has two different data values :

Difference in score, d :

dbar = Σd / n

dbar = (2+0+0+3+2+1+6) /

dbar = 14 / 7

dbar = 2

Standard deviation of d ; Sd = √[Σ(d - dbar)²/n-1]

Using calculator ; Sd = 2.082

Test statistic = dbar ÷ (Sd/√n)

Test statistic = 2 ÷ (2.082 / 7)

Test statistic = 2 ÷ 0.7869220

The statistic = 2.5415

Answer:

$20,475

Step-by-step explanation:

you multiply 19,500 by 0.05 (19500*0.05) to get $20,475

Hope this helps :)

Answer:

The solutions of the equation in the interval [0,2π )

                    ={  \(\frac{\pi }{3}\) }

General solution    θ = 2 nπ +α

                                θ =   \(2n\pi + \frac{\pi }{3}\)

Step-by-step explanation:

Step(i):-

Given equation

                      cos x + sin x tan x = 2

               ⇒      \(cos x + sin x \frac{sin x}{cos x} = 2\)

    On simplification , we get

              ⇒     \(\frac{sin^{2} x+ cos^2x}{cos x} = 2\)

we know that trigonometry formula

\(sin^{2} x+ cos^2 x = 1\)

now we get

             \(\frac{1}{cos x} = 2\)

⇒         \(cos x = \frac{1}{2}\)

⇒         cos x = cos 60°

Step(ii):-

General solution of cosθ = cosα

General solution    θ = 2 nπ +α

                               θ = 2 nπ +60°

                                θ =   \(2n\pi + \frac{\pi }{3}\)

put n = 0 ⇒ θ = 60°

Put n =1 ⇒  θ = 360°+60°= 420°

.....and so on

The solutions of the equation in the interval  =\(\frac{\pi }{3}\)

Final answer:-

The solutions of the equation in the interval [0,2π )

                    ={  \(\frac{\pi }{3}\) }

General solution    θ = 2 nπ +α

                                θ =   \(2n\pi + \frac{\pi }{3}\)