Amelia orders a special facial cleanser online. The table shows the quantity and cost for several online stores. Which is the BEST VALUE?

Answer:

Yes, she has reached her goal.

Step-by-step explanation:

I know this because you have to multiply 1/6 by 13 to get 13/6, which is equal to 2 1/6. Since 2 1/6 is greater than 2, she has reached her goal.

Equation: 1/6×13= 2 1/6

Comparing statement: 2 < 2 1/6

Answer:

For me to answer the question you will have to put another number

Answer:

Option C, (2, 6)

Step-by-step explanation:

Step 1:  Find the solution

They intersect at the x-value 2 and the y-value 6.

So... the answer is (2, 6)

Answer: Option C, (2, 6)

Answer:

The waitress who received 20% of $20 gets a larger tip.

The waitress who received 20% of $20 gets $4.00 tip, and the waitress who received 15% of $25 gets a tip of $3.75

Step-by-step explanation:

To get 15% of 25, you multiply it by .15, giving you your answer.

To get 20% of 20, you multiple it by .20, giving you your answer.

Answer:

the second waiter gets a larger tip by $0.25

Step-by-step explanation:

15% of $25 is $3.75

the first waiter only got a $3.75 tip.

20% of $20 is $4

the second waiter got a $4 tip

the second waiter got $0.25 more than the first.

i hope this helps! :)

Answer:

A

Step-by-step explanation:

I put the equation into a GeoGebra graphing calculator, and y=sin(x-2) matches the graph.

The function represents the given graph is y = sin(x - 2).

"Translating a graph means that moving it along the x or y axis by certain units."

1) For a function of the type y = f(x) + k

If k > 0, the graph of y = f(x) will translate up(along positive Y-axis) by k units.

If k < 0, the graph of y = f(x) will translate down(along negative Y-axis) by k units.

2) For a function of the type y = f(x + m)

If m > 0, the graph of y = f(x) will translate left(along negative X-axis) by m units.

If m < 0, the graph of y = f(x) will translate right(along positive X-axis) by m units.

From given example,

The function represents the given graph is y = sin(x - 2).

This means, the function y = sin(x) is translated right by angle 2 (degrees / radians) as shown in the following figure.

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The volume of the cylinder is,

⇒ Volume = 904.32 cm³

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Height of cylinder = 18 cm

Diameter of cylinder = 8 cm

Hence, Radius of cylinder = 4 cm

Now, We know that;

The volume of the cylinder is,

⇒ Volume = πr²h

Substitute the given values, we get;

⇒ Volume = 3.14 × 4² × 18

⇒ Volume = 904.32 cm³

Thus, The volume of the cylinder is,

⇒ Volume = 904.32 cm³

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Answer:

f(x) = 3x² - 24x + 53

Step-by-step explanation:

Given

f(x) = 3(x - 4)² + 5 ← expand the factor using FOIL

     = 3(x² - 8x + 16) + 5 ← distribute by 3 and simplify

     = 3x² - 24x + 48 + 5

     = 3x² - 24x + 53 ← in standard form

The equation of the line that is perpendicular to y = 4x - 10 and passes through the point (-16, 2) is y = -1/4x - 2, which is option A.

The student is asking for the equation of a line that is perpendicular to the given line y = 4x - 10 and passes through the point (-16, 2). The slope of the given line is 4, and the slope of a line perpendicular to it will be the negative reciprocal, which is -1/4. Using the slope-intercept form of a line, y = mx + b, where m is the slope and b is the y-intercept, we substitute the slope -1/4 and the point (-16, 2) to find b.

Plugging in the point, we get:

2 = (-1/4)(-16) + b

2 = 4 + b

b = 2 - 4

b = -2

So, the equation of the line is y = (-1/4)x - 2. The correct answer is option A) y = -1/4x - 2.

To find the line perpendicular to ( y = 4x - 10 ) passing through (-16, 2), its equation is[tex]\( y = -\frac{1}{4}x - 2 \)[/tex], option A.

The correct option is a)[tex]\(y = -\frac{1}{4}x - 2\).[/tex]

To find the equation of the line that is perpendicular to the given line (y = 4x - 10), we first need to determine the slope of the given line, because perpendicular lines have slopes that are negative reciprocals of each other.

The given line (y = 4x - 10) is in the slope-intercept form (y = mx + b), where (m) is the slope. In this case, the slope of the given line is (m = 4).

The negative reciprocal of (4) is [tex]\(-\frac{1}{4}\)[/tex]. This will be the slope of the perpendicular line.

Now, we use the point-slope form of a line, which is [tex]\(y - y_1 = m(x - x_1)\),[/tex]where [tex]\((x_1, y_1)\)[/tex] is a point on the line and \(m\) is the slope.

Given the point ((-16, 2)), we substitute (x_1 = -16) and (y_1 = 2) into the point-slope form and the slope[tex]\(m = -\frac{1}{4}\):[/tex]

[tex]\[ y - 2 = -\frac{1}{4}(x - (-16)) \][/tex]

[tex]\[ y - 2 = -\frac{1}{4}(x + 16) \][/tex]

Now, we can simplify and rewrite this equation in slope-intercept form (y = mx + b):

[tex]\[ y - 2 = -\frac{1}{4}x - 4 \][/tex]

[tex]\[ y = -\frac{1}{4}x - 4 + 2 \][/tex]

[tex]\[ y = -\frac{1}{4}x - 2 \][/tex]

So, the equation of the line that is perpendicular to (y = 4x - 10) and passes through the point ((-16, 2)) is option A) [tex]\(y = -\frac{1}{4}x - 2\).[/tex]

Answer:

The answer is 4.

Step-by-step explanation:

There are 16 possible outcomes of this, and of those, only 4 of them result in the coin landing on heads and landing on a number that is greater than 4.

Answer:

B

Step-by-step explanation:

Answer:

(3b + c)(a - 2b)

Step-by-step explanation:

Given

3ab - 6b² - 2bc + ac ← Rearranging

= 3ab + ac - 6b² - 2bc (factor the first/second and third/fourth terms )

= a(3b + c) - 2b(3b + c) ← factor out (3b + c) from each term

= (3b + c)(a - 2b)

Answer:

(a-2b)(3b-c)

Step-by-step explanation:

3ab-6b^2-2bc+ac

Let's rearrange

3ab+ac-6b^2-2bc

Let's factorise

a(3b+c)-2b(3b+c)

(a-2b)(3b+c)

Since the answer cannot be solved further

The answer is (a-2b)(3b+c)

Answer:

$48

Step-by-step explanation:

To figure out how much the game costs in total, we first need to divide $36 by 3 (3 is the numerator).

36 / 3 = 12

The number 12 is how much each quarter is worth as shown below.

1/4 = 12

2/4 = 24

3/4 = 36

4/4 = ?

To find the answer, all we do is add 12 to 36.

12 + 36 = $48

Answer:

$48

Step-by-step explanation:

Let x represent the cost of the game

$36 = 3/4 x

Divide both sides by 3/4

$36/3/4 = x

$36 *4 / 3 = x

$48 = x

Therefore, the game costs $48

Answer:

is it 57

Step-by-step explanation:

Answer:

x = 57

Step-by-step explanation:

x and 57° are vertical angles and congruent, thus

x = 57

Answer:

See below

Step-by-step explanation:

Two lines are parallel if they have the same slope but different y-intercepts. So the slope that can be formed given the points (-3,6) and (9,2) is (9-(-3))/(2-6)=12/-4=-3

With y=-3x+b, we need b, which can be found by plugging in either point:

2=-3(9)+b

2=-27+b

29=b

So the y-intercept therefore cannot be 29 but it can be any real number.

So the equation y=-3x+2 works, y=-3x+3, y=-3x+4, and so on....

Answer:

B

Step-by-step explanation:

A- 2/15 + 1/3 = 7/15-0.46

B- 6/7-1/3=11/21-0.52

Answer: B is closer to 1/2

Step-by-step explanation:

I hope the explanation in the diagram helps

Answer:

Logan has the greater probability of winning

Step-by-step explanation:

Colton=1/20

=0.05

So the probability of Colton is 0.05

Logan=15%

=15/100

=0.15

So the probability of Logan is 0.15

When comparing the two,it was observed that the Logan has greater probability of winning

Answer:

The fraction increase by ( [tex]0.047=4.7\:\%[/tex] ) if its numerator is

increased by 25% and its denominator is increased by 20%.

Step-by-step explanation:

As

[tex]100\%\mathrm{\:in\:fractions}=\:1[/tex]

[tex]25\%\mathrm{\:in\:fractions}=\:\frac{1}{4}[/tex]

[tex]20\%\mathrm{\:in\:fractions}=\frac{1}{5}[/tex]

so

Increase in 25% means

[tex]100\%\:+25\%\:=\frac{5}{4}[/tex]    

Increase in 20% means

[tex]100\%\:+20\%\:=\frac{6}{5}[/tex]

Thus the fraction becomes

[tex]\:\frac{\frac{5}{4}\times \:n}{\frac{6}{5}\times \:d}[/tex]                  

[tex]=\frac{\frac{5}{4}n}{\frac{6d}{5}}[/tex]

[tex]\mathrm{Divide\:fractions}:\quad \frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a\times \:d}{b\times \:c}[/tex]

[tex]=\frac{5n\times \:5}{4\times \:6d}[/tex]

[tex]=\frac{25n}{24d}[/tex]

[tex]=1.0417\left(\frac{n}{d}\right)[/tex]

[tex]=1\left(\frac{n}{d}\right)+0.047\left(\frac{n}{d}\right)[/tex]

As

[tex]0.047=4.7\:\%[/tex]

Therefore, the fraction increase by ( [tex]0.047=4.7\:\%[/tex] ) if its numerator is

increased by 25% and its denominator is increased by 20%.

That is true, you multiply the length by the width in a rectangle, and you do the same in a square.

Answer:

119.6 - 20.436x

Step-by-step explanation:

[tex]5.2(23 - 3.93x) \\ = 5.2 \times 23 - 5.2 \times 3.93x \\ = 119.6 - 20.436x \\ [/tex]

Answer:

The correct option is;

c. Because the p-value of 0.1609 is greater than the significance level of 0.05, we fail to reject the null hypothesis. We conclude the data provide convincing evidence that the mean amount of juice in all the bottles filled that day does not differ from the target value of 275 milliliters.

Step-by-step explanation:

Here we have the values

μ = 275 mL

275.4

276.8

273.9

275

275.8

275.9

276.1

Sum = 1928.9

Mean (Average), = 275.5571429

Standard deviation, s = 0.921696159

We put the null hypothesis as H₀: μ₁ = μ₂

Therefore, the alternative becomes Hₐ: μ₁ ≠ μ₂

The t-test formula is as follows;

[tex]t=\frac{\bar{x}-\mu }{\frac{s}{\sqrt{n}}}[/tex]

Plugging in the values, we have,

Test statistic = 1.599292

[tex]t_{\alpha /2}[/tex] at 7 - 1 degrees of freedom and α = 0.05 = ±2.446912

Our p-value from the the test statistic = 0.1608723≈ 0.1609

Therefore since the p-value = 0.1609 > α = 0.05, we fail to reject our null hypothesis, hence the evidence suggests that the mean does not differ from 275 mL.

Answer:

Because the p-value of 0.1609 is greater than the significance level of 0.05, we fail to reject the null hypothesis. We conclude the data provide convincing evidence that the mean amount of juice in all the bottles filled that day does not differ from the target value of 275 milliliters.

Step-by-step explanation:

I took the quiz and got it right

Answer:

The linear equation is consistent

Step-by-step explanation:

X+y=14....(1)

X-y=4....(2)

Add (1) and (2)

2x=28

Divide both sides by 2

x=14

Substitute the value for x into (1)

14+y=14

Substrate 14 from both sides

y=0

So the linear equation is consistent

Answer:

0.026

Step-by-step explanation:

The number gotten from 1/100 of the value of 2.6 is; 0.026

We want to find 1/100 of the value of 2.6. This means that we will multiply 2.6 by 1/100.

⇒ 2.6 × 1/100

Multiply both numerator and denominator by 10 to get;

26/1000

Now, when we divide 26 by 1000, we will get a decimal which is; 0.026

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Answer:

see attached

Step-by-step explanation:

Each cube root or square root lies:

∛800: Between 2 and 3

∛101: Between 4 and 5

∛90: Between 4 and 5

∛20: Between 2 and 3

√7: Between 2 and 3

√20: Between 4 and 5

√90: Between 9 and 10

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

Here are the steps to find whether each cube root or square root lies between 2 and 3, 4 and 5, or 9 and 10:

Start with the first cube root or square root, ∛800.

Estimate the value of the root.

For ∛800, we can estimate that it's between 8 and 9, since 8 cubed is 512 and 9 cubed is 729.

So, ∛800 must be somewhere in between.

Determine which range the estimated value falls into.

Since 8 is between 2 and 3, ∛800 must also be between 2 and 3.

Repeat the process for the remaining cube roots and square roots, using the same ranges.

Here are the results:

∛800: Between 2 and 3

∛101: Between 4 and 5

∛90: Between 4 and 5

∛20: Between 2 and 3

√7: Between 2 and 3

√20: Between 4 and 5

√90: Between 9 and 10

Thus,

Four of the roots lie between 2 and 3, two lies between 4 and 5, and one lies between 9 and 10.

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--------------------------------------------------------

t + 5 + 3t = 1

Group like terms:

t+3t+5= 1

Add similar elements:

4t+5=1

Subtract 5 from both sides:

4t+5-5 = 1-5

Simplify:

4t= -4

Divide both sides by 4:

4t/4 = -4/4

Simplify:

t= -1

Your Answer Is t= -1

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Answer:

x=31.6

Im not sure since i have not taken a trig course yet, but i know the basics:

Tangent is opposite over adjacent, and in respect to this angle, (31 degrees) the opposite side is 19 and adjacent is x.

Tan(31) = 19/x

Solve for x...use a calculator to find tan(31)

(Credit to google for the pic)

Answer:

  $107,000

Step-by-step explanation:

Austin's salary in his 19th year will include his base pay and 18 raises:

  $80,000 + 18×$1500 = $107,000

Austin's salary in his 19th year would be $107,000.

Answer:

See the attachment.

Set your calculator to degree mode.

[tex] \sin( \alpha ) = \frac{50}{130} [/tex]

[tex] \alpha = { \sin }^{ - 1} \frac{5}{13} = about \: 22.62°[/tex]

Quotient=4x+5

Remainder=4

hope this will help u..

Answer: quotient =4x+5

remainder =4

Step-by-step explanation:

Looking at the diagram below

Quotient =4x+5

Remainder =4