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Susie has 4 gallons of juice. How many cups of juice does she have?

A. 2 cups
B. 16 cups
C. 32 cups
D. 64 cups

Answer:

\(\displaystyle \frac{5}{6}\cdot \frac{-8}{15}=-\frac{4}{9}\)

Step-by-step explanation:

Fraction Multiplying

The product of two fractions can be obtained by multiplying their numerators and denominators separately. Then, simplify and show the result.

We are given the product:

\(\displaystyle \frac{5}{6}\cdot \frac{-8}{15}\)

Multiply as directed:

\(\displaystyle \frac{5}{6}\cdot \frac{-8}{15}=\frac{5*(-8)}{6*15}=-\frac{40}{90}\)

Simplifying by 10:

\(\displaystyle -\frac{40}{90}=-\frac{4}{9}\)

Thus:

\(\boxed{\displaystyle \frac{5}{6}\cdot \frac{-8}{15}=-\frac{4}{9}}\)

Answer:

Step-by-step explanation:

a. x is negative: x < 0

b. y is nonnegative: y ≥ 0

c. q is less than or equal to π: q ≤ π

Answer:

a.

2. x < 0

b.

2. y ≥ 0

c.

5. q ≤ π

Step-by-step explanation:

To express the given statements as an inequality, we need to determine the relationship between the given quantities.

a. The statement "x is negative" means that x is less than 0. Mathematically, we can represent this as x < 0.

b. The statement "y is nonnegative" means that y is greater than or equal to 0. Mathematically, we can represent this as y ≥ 0.

c. The statement "q is less than or equal to π" means that the value of q is either equal to π or less than π. Mathematically, we can represent this as q ≤ π.

Answer:

The height is 1.25m.

Step-by-step explanation:

Volume = 1/3 πr²h

Given:

V = 13.4 m³

r = 3.2 m

Asked: height (h)

Substitute the formula with the given values then solve

13.4m³ = 1/3π(3.2m)²h

13.4(3) = 10.24πh

40.2 = 10.24πh

h = 40.2/10.24π

h = 1.25m

The height of the cone is 1.25 meters.

We know that the volume of the cone is given by

V = (1 / 3) * π * r ^2 * h................equation 1

where,

V is the volume of the cone.

r is the radius of the cone's base

h is the height

The volume and radius of the cone are given,

V = 13.4 m

r = 3.2m

substituting these values in equation 1 we get,

13.4 = (1 / 3) * 3.14 * 3.2 ^ 2 * h

on simplifying further

13.4 = 10.717  * h

h = 1.25m

The height of the cone is 1.25 meters.

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Answer:

bca

Step-by-step explanation:

5x5=25 5 to the power of 2 is 25 plus the power of x on all of them

Answer:

32+4x

Step-by-step explanation:

First, sketch a square.

Next, write x on each side.

Now, put an 8+ next to the x since Kathy decided she needs a new pan 8 inches longer.

Finally, since there are four sides, you'll do the expression "(8+x)4."

And now, you can solve it more detailedly, 32+4x.

I hope this has helped you!

Answer:

its D

bc 3 is grater

Answer:

i would say "a"

Step-by-step explanation:

essentially, "a" "c" and "e" are all the same thing but most people would write it as "a"

Answer:

y is 0,3

Step-by-step explanation:

To find the x-intercept, substitute in

0

for

y

and solve for

x

. To find the y-intercept, substitute in

0

for

x

Answer:

(0,3)

Step-by-step explanation:

Two methods:

Method 1:  General method for any equation

Method 2: Method specific for parabolas in standard form

Method 1:  General method for any equation

For any two-variable equation to be graphed, the y-intercept is the point where the graph crosses the y-axis.  The y-axis is a vertical line through the origin (0,0).

Any y-intercept is on that line, and to get to that point starting from the origin, one can't travel left or right to get to the y-intercept point (without moving back to the y-axis).  The only movement would be up or down.

Since no left-right movement will happen, the x-coordinate is zero.

For any two-variable equation, the x and y coordinates of any point on the graph are linked by the equation.  If it is known that the x-value is zero, the y-value associated with that x-value is given by substituting zero into the equation everywhere there is an "x", and solving for "y".

\(y=-4x^2-x+3\)

\(y=-4(0)^2-(0)+3\)

Order of operations requires exponents before multiplication, or addition & subtraction...

\(y=-4(0)-(0)+3\)

multiplication...

\(y=0-0+3\)

addition & subtraction, from left to right...

\(y=3\)

So, when the x-value is zero, the y-value is three.  Therefore, the ordered pair representing that point is (0,3).

Method 2: Method specific for parabolas in standard form

The given equation is the equation for a parabola (as stated in the question), and it is given in "standard form": \(y=ax^2+bx+c\), where a, b, and c are real numbers (and a isn't equal to zero, because then the x-squared term would be zero, and the equation would really just be a linear equation).

Note that for our equation, it is in standard form if we rewrite the equation to only use addition, \(y=-4x^2+-1x+3\), where \(a=-4, ~b=-1 ~ \text{and}~c=3\)

For a parabola in standard form, the y-intercept is always at a height of "c".

So, the y-intercept would be (0,3).

Answer:

$1.99/19lb = $.10/lb

Step-by-step explanation:

Divide the total cost by the number of pounds

Answer:

I believe the answer is 6.6

Step-by-step explanation:

If you multiply 6 by 10 you get 60. Divide 60 by 9 you get 6.6

The relationship between logarithms and exponential functions is fundamental and provides a powerful tool for finding solutions in various mathematical and scientific contexts.

Logarithms are the inverse functions of exponential functions. They allow us to solve equations and manipulate exponential expressions in a more manageable way. By taking the logarithm of both sides of an exponential equation, we can convert it into a linear equation, which is often easier to solve.

One of the key properties of logarithms is the ability to condense multiplication and division operations into addition and subtraction operations. For example, the logarithm of a product is equal to the sum of the logarithms, and the logarithm of a quotient is equal to the difference of the logarithms.

Logarithms also help us solve equations involving exponential growth or decay. By taking the logarithm of both sides of an exponential growth or decay equation, we can isolate the exponent and solve for the unknown variable.

This is particularly useful in fields such as finance, population modeling, and radioactive decay, where exponential functions are commonly used.

Furthermore, logarithms provide a way to express very large or very small numbers in a more manageable form. The logarithmic scale allows us to compress a wide range of values into a smaller range, making it easier to analyze and compare data.

In summary, the relationship between logarithms and exponential functions enables us to simplify and solve equations involving exponential expressions, model exponential growth or decay, and manipulate large or small numbers more effectively.

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Using the pattern, the next 4 numbers in the sequence would be

3.2; 4.0; 4.8; 5.6

The given sequence seems to follow a pattern where each term is obtained by adding 0.8 to the previous term.

hence this is an AP sequence, with a common difference of 0.8, adding 0.8 to each term gives the next consecutive term

2.4 + 0.8 = 3.2

3.2 + 0.8 = 4.0

4.0 + 0.8 = 4.8

4.8 + 0.8 = 5.6

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Answer:

just search on brainly thats what im doing are you onine schooling

Step-by-step explanation:

Answer:

\(11.1\: \mathrm{g}\)

Step-by-step explanation:

Stefanie's mixture of 18 grams has a 20% sugar content. Therefore, there are \(18\cdot 0.2=3.6\) grams of sugar in her syrup.

John's mixture of 30 grams has a 25% sugar content. Therefore, there are \(30\cdot 0.25=7.5\) grams of sugar in her syrup.

Therefore, if they mix their syrups together, there will be \(3.6+7.5=\fbox{11.1}\)grams of sugar.

Answer:

I need this answer ASAP

Step-by-step explanation:

Answer:

3, 2√2, √7

Step-by-step explanation:

compute the square roots of the next three prime numbers:

√7

√11

√13

Therefore, the next three terms of the sequence are:

{1, √2, √3, 2, √5, √7, √11, √13}

chatgpt

chat

Answer:

530.66 square cm

Step-by-step explanation:

Area of the circle

\( = \pi {r}^{2} \\ = 3.14 \times {13}^{2} \\ = 3.14 \times 169 \\ = 530.66 \: {cm}^{2} \\ \)

Answer:

x=11

Step-by-step explanation:

22*y=32

y=16/11

So,

x*16/11=16

x=11

Answer:A

Step-by-step explanation:

Answer: Harold drove 165.46 more miles in the first week, then he did in the second.

Step-by-step explanation:

This is simple elementary school subtraction. In the first week of the month, he drove 578.25 miles while in the second he only drove 412.79.

You can look up how to do subtraction by hand online, but after calculating the equation:

\(578.25-412.79\), we end up with 165.46.

The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

Angle of minor arc

Area

Answer:

\(\textsf{C)} \quad \dfrac{156\pi}{5}\; \sf sq.\;inches\)

Step-by-step explanation:

To calculate the area of the colored sector of the circle with radius 12 inches, use the area of a sector formula.

\(\boxed{\begin{minipage}{6.4 cm}\underline{Area of a sector}\\\\$A=\left(\dfrac{\theta}{360^{\circ}}\right) \pi r^2$\\\\where:\\ \phantom{ww}$\bullet$ $r$ is the radius. \\ \phantom{ww}$\bullet$ $\theta$ is the angle measured in degrees.\\\end{minipage}}\)

From inspection of the given diagram, the measure of the central angle of the major arc is 282°.

Angles around a point sum to 360°. Therefore, the central angle of the colored sector is:

\(\implies 360^{\circ}-282^{\circ}=78^{\circ}\)

Substitute θ = 78° and r = 12 into the area of a sector formula and solve for A:

\(\implies A=\left(\dfrac{78^{\circ}}{360^{\circ}}\right) \pi (12)^2\)

\(\implies A=\left(\dfrac{13}{60}\right) \pi (144)\)

\(\implies A=\left(\dfrac{1872}{60}\right) \pi\)

\(\implies A=\dfrac{156\pi}{5}\; \sf sq.\;inches\)

Therefore, the area of the colored sector is:

\(\dfrac{156\pi}{5}\; \sf sq.\;inches\)

Answer:

$181.4

Step-by-step explanation:

Note,

Therefore, the store applied a discount price of $181.4 to the set of golf clubs.

Answer:

6 kg

Step-by-step explanation:

J = mass of nuts gathered by James

H = mass of nuts gathered by Harry

J = 12 + H

J = 3H

     3H = 12 + H

3H - H = 12 + H - H

     2H = 12

       H = 6 kg

J = 18 kg

how about this.

am I wrong??

I hope now is right.

The slope-intercept form equation for a line that contains point (0, 5) and has a slope of 5/4 is y = (5/4)x + 5

In this question, we have been given a point (0, 5) and a slope 5/4

We need to write the slope-intercept form equation for a line that contains point (0, 5) and has a slope of 5/4

Using the formula for the point-slope form equation of a line:

(y - y1) = m(x - x1)

y - 5 = (5/4)(x - 0)

y - 5 = (5/4)x

y = (5/4)x + 5

which is slope-intercept form of line.

here slope = 5/4 and y-intercept = 5

Therefore, the slope-intercept form equation for a line that contains point (0, 5) and has a slope of 5/4 is y = (5/4)x + 5

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y=68°

x+y=180°

x+68°=180°

x=180-68

x=112°

Answer:

Step-by-step explanation:

slope for 3 is -0.6

1.525 is second 3=(1)0+3

3x-y+3

3x-y-8

Answer: $2.50

$10.00 per 4 liters

10/4=2.5

I hope this is good enough:

Answer:  because i just want points and 1 +2= 3

Step-by-step explanation: because  if u add 2 with 1 u will get 3