What figure is the image of p?

Answer:

B

Step-by-step explanation:

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]

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

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

Answer:

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

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:

50

Step-by-step explanation:

25% is the same as 1/4

1/4 of 200 is the same as

1/4·200

200/4 = 50

Hope that helped

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:

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%.

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.

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:

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

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

Learn more aboput the multiplication visit:

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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:

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:

(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:

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:

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

Read more about Decimals and fractions at; https://brainly.com/question/1198199

105 = 10 x 10 x 10 x 10 x 10 = 100,000 (5 zeros)

108 = 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 = 100,000,000 (8 zeros)

Notice that the number of zeros in the ordinary decimal expression is exactly equal to the power to which 10 is raised.

If the number is expressed in words, first write it down as an ordinary decimal number and then convert. Thus, "ten million" becomes 10,000,000. There are seven zeros, so in powers of ten notation ten million is written 107.

A number which is some power of 1/10 can also be expressed easily in scientific notation. By definition,

1/10 = 10-1 ("ten to the minus one power")

More generally, the expression "10-n" (where n is a whole number) means ( 1/10 )n. Thus

10-3 = ( 1 / 10 )3 = 1 / ( 10 x 10 x 10) = 1/1000

10-8 = ( 1 / 10 )8 = 1/100,000,000

Answer:

i believe its 2.52 * 10^9

Step-by-step explanation:

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:

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:

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:

  $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:

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

The probability of selecting a freshman or a sophomore from the French class is 0.9 or 90%. The probability of selecting a freshman or a sophomore from the French class can be found by dividing the total number of freshmen and sophomores (18) by the total number of students (20). The probability is calculated as 18 / 20, which simplifies to 0.9 or 90%.

To find the probability of selecting a freshman or a sophomore from the French class, we need to calculate the total number of freshmen and sophomores and divide it by the total number of students.

Step 1: Calculate the total number of freshmen and sophomores.

The total number of freshmen is 10, and the total number of sophomores is 8. Adding these two numbers together, we get 10 + 8 = 18.

Step 2: Calculate the total number of students.

The total number of freshmen, sophomores, and juniors is given as 10 + 8 + 2 = 20.

Step 3: Calculate the probability.

The probability of selecting a freshman or a sophomore can be calculated by dividing the total number of freshmen and sophomores (18) by the total number of students (20).

P(freshman or sophomore) = Number of freshmen and sophomores / Total number of students

P(freshman or sophomore) = 18 / 20

P(freshman or sophomore) = 0.9

Therefore, the probability of selecting a freshman or a sophomore from the French class is 0.9 or 90%.

The question probable may be:

What is the probability of selecting a freshman or a sophomore from the French class, and how is this probability calculated using the total number of freshmen and sophomores divided by the total number of students?

In a French class, there are 10 freshmen, 8 sophomores, and 2 juniors. Of these students, 9 freshmen, 2 sophomores, and 1 junior are female. A student is selected at random. P(freshman or sophomore)

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.

Learn more about sine function here:

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