**Yoxelt buys 4 1/2 gallons of soda. One-fourth of the soda he bought was Pepsi and the rest was Sprite. How many gallons of Pepsi did Yoxelt buy? Show all work below.

Answer:

D. [tex]\sqrt{\frac{2*2*2*2*3}{5*5*7} }[/tex]

Step-by-step explanation:

48 divided by 2 is 24. Insert the 2.

24 divided by 2 is 12. Insert the 2.

12 divided by 2 is 6. Insert the 2.

6 divided by 2 is 3. Insert the 2 and 3:

[tex]48=2*2*2*2*3[/tex]

175 divided by 5 is 35. Insert the 5.

35 divided by 5 is 7. Insert the 5 and 7:

[tex]175=5*5*7[/tex]

:Done

Answer:

65

Step-by-step explanation:

They all between 9

Answer:

the answer is 65......

Answer:

Step-by-step explanation:

The diagonals of the rhombus divide it into 4 congruent right triangles.

So we can use Pythagorean theorem to calculate side of a rhombus.

[tex](\frac e2)^2+(\frac f2)^2=s^2\\\\e=30\,cm\quad\implies\quad\frac e2=15\,cm\\\\f=16\,cm\quad\implies\quad\frac f2=8\,cm\\\\15^2+8^2=s^2\\\\s^2=225+64\\\\s^2=289\\\\s=17[/tex]

Perimeter:

P = 4s = 4•17 = 68 cm

Answer:

(5,2)

Step-by-step explanation:

The 90° clockwise rule (for around the origin) is: [tex](x,y)\rightarrow(y,-x)[/tex]

Apply the rule to point A:

[tex]\left \{ {(-2,5)\rightarrow(5,2)} \atop {(x,y)\rightarrow(y,-x)}} \right.[/tex]

A' should be (5,2).

Answer:

Step-by-step explanation:

The general rule for rotation of an object 90 degrees is (x, y) to (-y, x)

so for point A(-2,5), A' will be (5,2)

to find the new

X=xcos(θ)+ysin(θ)

X=-2(cos90)+5sin90             ( cos90=0, sin 90=1)

to find the new

Y=−xsin(θ)+ycos(θ)

Y=-(-2)sin90+5cos90

Answer:

The strength of a correlation is independent of whether the correlation of a scatterplot is positive or negative. A scatterplot with positive correlation can have either a weak correlation or strong correlation.

Step-by-step explanation:

Answer:

The answer to your question would be A.) The strength of a correlation is independent of whether the correlation of a scatterplot is positive or negative. A scatterplot with positive correlation can have either weak correlation or strong correlation.

Step-by-step explanation:

I got it right on edge 2020

Answer:

The probability is 0.0228

Step-by-step explanation:

We proceed by calculating the z-score value

Mathematically;

z-score = (x - mean)/SD

where x = 206, mean = 248 and SD = 21

Substituting these values, we have;

z-score = (206-248)/21 = -42/21 = -2

So the probability we want to calculate is;

P(z < -2)

We can use the standard normal distribution table for this;

P(z < -2) = 0.0228

Answer:

i need this as a percentage

Step-by-step explanation:

Answer:

75%=x-125

90%=x+250

subtract the second from the first

15%=375

100%=?

100%×375/15

100%=2500marked price is 2500

2500+250=2750

90%=2750

100%=?

cost price=3055.56

Answer:

an accounts; credit or debit.

Step-by-step explanation:

Remember, accounting involves activities done to keep financial records. Interestingly, a similar term is used to refer to the basic unit in which data are stored in an accounting system called accounts.

Also, we need to bear in mind that this financial records written as storage units would include incoming or outgoing money measurements often called debit or credit transactions in the items for which they are established.

Answer:

6.4 seconds

Step-by-step explanation:

Using the second equation of motion.

d= 200m/s.

a= 9.8ms^-1 . Acceleration due to gravity.

t= time.

substituting,

t=

[tex] \sqrt{2 \times \frac{200}{9.8} } [/tex]

t= 6.4 seconds

Answer:

Step-by-step explanation:

Graph shows the distance traveled by a biker as a function of time.

Velocity of the biker changes in the different intervals.

1). In the interval 0 < t < 2, biker is moving with a constant velocity.

   Velocity = [tex]\frac{\text{Displacement}}{\text{Time}}[/tex]

             = [tex]\frac{0-4}{0-2}[/tex]

             = 2 km per hour

2). In the interval 2 < t < 5,

   Velocity = [tex]\frac{4-4}{4-2}[/tex]

                  = 0

   Therefore, biker stopped between 2 to 5 hours.

3). In the interval 5 < t < 6,

   Velocity = [tex]\frac{\triangle x}{\triangle t}[/tex]

                  = [tex]\frac{4-3}{6-5}[/tex]

                  = 1 km per hour

4). In the interval 6 < t < 7,

   Velocity = [tex]\frac{6-3}{7-6}[/tex]

                 = 3 km per hour

Answer:

$13

Step-by-step explanation:

First, find how much she put into the bank:

84 - 45 = $39

Then, multiply this by 2 to find how much she made, because this was half of the money she got:

39(2) = 78

Then, divide this by 6 to find how much she makes a day:

78/6 = 13

= $13

Answer:

[tex](2-\sqrt{7}, 2+\sqrt{7})[/tex]

Step-by-step explanation:

Answer:

EFGH ~ IJKL

Step-by-step explanation:

There sides are both parallel.

Hope this helped you :)

Answer: Since y = tan θ = y / x , and y and x are coordinates of a point, y can be any real number and x can be any real number except 0. Thus, the ratio y / x can be any real number, and we conclude that the range of y = tan θ is all real numbers. ... y = csc θ = r/ y , since sin θ and csc θ are reciprocals of one another.

Step-by-step explanation:

Since y = tan θ = y / x , and y and x are coordinates of a point, y can be any real number and x can be any real number except 0. Thus, the ratio y / x can be any real number, and we conclude that the range of y = tan θ is all real numbers. ... y = csc θ = r/ y , since sin θ and csc θ are reciprocals of one another.

The period of the function is the interval between repetitions of any function. A trigonometric function's period is the length of one whole cycle. As a starting point, we can use x = 0 for any trigonometry graph function. Trigonometric functions have a periodic nature. As opposed to tangent and cotangent, which have period, sine, cosine, secant, and cosecant all have period 2.

Studying the correlations between triangle side lengths and angles is the subject of trigonometry, a branch of mathematics. By using geometry to study astronomy, the field first appeared in the Hellenistic civilization during the third century BC. The earliest documented tables of values for trigonometric ratios (sometimes called trigonometric functions) such as sine were developed by mathematicians in India, while the Greeks concentrated on chord calculation.

Geodesy, surveying, celestial mechanics, and navigation are just a few of the fields where trigonometry has been used historically. The various identities of trigonometry are well recognized.

These trigonometric identities are frequently used to simplify, discover a more practical form for, or solve equations involving trigonometric expressions.

To know more about trigonometry visit:

brainly.com/question/12068045

#SPJ2

complete question:

Explain what is meant by the period of a trigonometric function. what are the periods of the six trigonometric functions?

Answer:

90°

Step-by-step explanation:

The angle a tangent makes with a radius at the point of tangency is 90 deg.

There are three 90-deg angles in the quadrilateral, so the 4th angle must also measure 90 deg.

Answer: 90°

Based on the tangent theorem the measure of the circumscribed ∠X is: 90°.

The tangent theorem states that an angle of 90 degrees is formed at the point of tangency where a tangent meets the radius of a circle.

YX and WX are tangents of the circle.

m∠Y = m∠W = 90°

Sum of interior angles of a quadrilateral is 360°

m∠X = 360 - 90 - 90 - 90

m∠X = 90°

Therefore, based on the tangent theorem the measure of the circumscribed ∠X is: 90°.

Learn more about the tangent theorem on:

https://brainly.com/question/9892082

Answer:

Step-by-step explanation:

√48 = √(3*16) = 4√3

                  √1                                      

√(1/49) = ------- = 1/7

                √49

                       √4

√(4/100) = --------------- = ±2/10 =                                                                                                                                                                                                                                                                                                                                                                              

                     √100

Answer:

54 inches

Step-by-step explanation:

First, let's convert the measurements into a common measurement.

Since inch is the smallest measurement here, let's use that.

Ella's pet snake is 42 inches long.

Roya's pet snake is 8 feet long. There are 12 inches in one foot. Therefore, 8 feet would mean 12 times 8 or 96 inches.

Therefore, Roya's snake is 96 inches long.

To find out how many inches longer is Roya's snake, subtract:

96 - 42 = 54.

Therefore, Roya's snake is 54 inches longer than Ella's.

Explanation:

f(x) = (x+5)^2 = x^2+10x+25 = x^2+10x^1+25x^0

The exponents for that last expression are 2, 1, 0

The mix of even and odd exponents in the standard form means f(x) is neither even nor odd. We would need to have all exponents even to have f(x) even, or have all exponents odd to have f(x) be odd.

Answer:

Step-by-step explanation:

20

×48

-------

160

800

---------

960

Hope this helps

plz mark as brainliest!!!!!!!

Answer:

Step-by-step explanation:

20×48 =

= 20×(40+8) =

= 20×40 + 20×8 =

= 2×4×100 + 2×8×10 =

= 800 + 160 =

= 960  

Or:

20×48 = 2×48×10 = 96×10 = 960

Answer:

2 hours

Step-by-step explanation:

first tap= 3hours

therefore work done is = 1/3

second tap= 6hours

therefore work done = 1/6

so, 1/3+ 1/6

=2/6 + 1/6

=3/6

=1/2

=2/1 hours

=2 hours

Answer:

The answer to this question is (D)

Answer:

f(x + k)

Step-by-step explanation:

A horizontal shift moves to the left or right

y = f(x + k)  k > 0 moves it left

                   k < 0 moves it right

Answer:

14 cm

Step-by-step explanation:

Answer:

14 cm will be the answer

Answer:

(x+3)(x-5)=(x+3)(x-5)

      x^2-2  = x^2-2

Step-by-step explanation:

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Let's solve your equation step-by-step.

[tex]( x + 3) ( x - 5) = ( x + 3 ) ( x - 5 ) =[/tex]

Step 1: Simplify both sides of the equation.

[tex]x^2 - 2x - 15 = x^2 - 2x - 15 - x^2\\-2x - 15 = -2x - 15[/tex]

Step 3: Add 2x to both sides.

[tex]-2x - 15 = -2x - 15\\-15 = -15[/tex]

Step 4: Add 15 to both sides.

[tex]-15 + 15 = -15 + 15 \\0 = 0[/tex]

Answer : All real numbers are solutions.

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If this helped you, could you maybe give brainliest..?

Also Have a great day/night!

❀*May*❀

Answer:

prime

Step-by-step explanation:

3x^2 + 5x + 1

3x^2  factors in to 3x and x

1 factors into 1 and 1

( 3x   + 1) ( x+1)

We need to verify the middle is 5

3x+1x = 4x

so this is not true

We cannot factor this so it is prime

Answer:

[tex]\large \boxed{\sf Prime}[/tex]

Step-by-step explanation:

[tex]3x^2 + 5x + 1[/tex]

We need to find two numbers that add to 5 and multiply to get 1.

There are no real numbers.

The expression cannot be factored. The expression is prime.

Answer:

50%

Step-by-step explanation:

We are given this set of data: Age of professors in years

47, 44, 48, 43, 35, 65, 56, 37, 73,51

We can firstly rearrange the years properly in ascending order.

Hence we have:

35, 37, 43, 44, 48, 51, 53 56, 65, 73

The number of the professor given = 10 professors

The number of professors younger 50 years = 5

Therefore, the percentage of these professors who are younger than 50

Is:

5/10 × 100 = 50%

Therefore, 50% of the professors are younger than 50

12

Step-by-step explanation:

9+3 =12

pls make me brainiest

Step-by-step explanation:

1 opción:

Del primer 9:

retirar el fósforo de la parte superior de tal manera que este nueve se convierte en 5 y colocarlo en la parte inferior del segundo nueve de tal manera que se convierte en 8:

5 + 3 = 8

2 opción:

en el primer nueve trasladar el fósforo vertical de la parte superior derecha a la parte inferior izquierda de tal manera que este se convierte en 6:

6 + 3 = 9

Del primer nueve retirar el fósforo vertical superior izquierdo de tal manera que este se convierte en 3 y ese fósforo colocarlo de forma vertical en la parte inferior izquierda del 3 y recorrer de este 3 el fósforo vertical superior derecho hacia la izquierda de tal manera que se convierte en 6:

3 + 6 = 9

Answer/Step-by-step explanation:

A. [tex] 4b + 3b [/tex]

Using b = 2

[tex] 4(2) + 3(2) = 8 + 6 = 14 [/tex]

Using b = 4

[tex] 4(4) + 3(4) = 16 + 12 = 28 [/tex]

Using b = 6

[tex] 4(6) + 3(6) = 24 + 18 = 42 [/tex]

Using b = 8

[tex] 4(8) + 3(8) = 32 + 24 = 56 [/tex]

Using b = 10

[tex] 4(10) + 3(10) = 40 + 30 = 70 [/tex]

Using b = 2

[tex] 4(12) + 3(12) = 48 + 36 = 84 [/tex]

B. [tex] 3(x - 2) [/tex]

Using x = 3

[tex] 3(3 - 2) = 3(1) = 3 [/tex]

Using x = 5

[tex] 3(5 - 2) = 3(3) = 9 [/tex]

Using x = 7

[tex] 3(7 - 2) = 3(5) = 15 [/tex]

Using x = 9

[tex] 3(9 - 2) = 3(7) = 21 [/tex]

Using x = 11

[tex] 3(11 - 2) = 3(9) = 27 [/tex]

Using x = 13

[tex] 3(13 - 2) = 3(11) = 33 [/tex]

C. [tex] 5(4a - 1) [/tex]

Using a = 2

[tex] 5(4(2) - 1) = 5(8 - 1) = 5(7) = 35 [/tex]

Using a = 3

[tex] 5(4(3) - 1) = 5(12 - 1) = 5(11) = 55 [/tex]

Using a = 4

[tex] 5(4(4) - 1) = 5(16 - 1) = 5(15) = 75 [/tex]

Using a = 5

[tex] 5(4(5) - 1) = 5(20 - 1) = 5(19) = 95 [/tex]

Using a = 6

[tex] 5(4(6) - 1) = 5(24 - 1) = 5(23) = 115 [/tex]

Using a = 7

[tex] 5(4(7) - 1) = 5(28 - 1) = 5(27) = 135 [/tex]

D. [tex] 6y - 2y + 4 [/tex]

Using y = 2

[tex] 6(2) - 2(2) + 4 = 12 - 4 + 4 = 12 [/tex]

Using y = 3

[tex] 6(3) - 2(3) + 4 = 18 - 6 + 4 = 18 - 2 = 16 [/tex]

Using y = 5

[tex] 6(5) - 2(5) + 4 = 30 - 10 + 4 = 30 - 6 = 24 [/tex]

Using y = 10

[tex] 6(10) - 2(10) + 4 = 60 - 20 + 4 = 60 - 16 = 44 [/tex]

Using y = 8

[tex] 6(8) - 2(8) + 4 = 48 - 16 + 4 = 48 - 12 = 36 [/tex]

Using y = 6

[tex] 6(6) - 2(6) + 4 = 36 - 12 + 4 = 36 - 8 = 28 [/tex]

Answer:

None of the options are correct

Step-by-step explanation:

Let us assume point B is at (x, y) and the center of dilation is at (a, b). Therefore the distance between the two points is:

[tex]Distance =\sqrt{(b-y)^2+(a-x)^2}=11 \\\\\sqrt{(b-y)^2+(a-x)^2}=11[/tex]

If Triangle ABC is then dilated by 3/4, the new coordinate is B'(3/4 (x-a) + a, 3/4 (y - b) + b). The distance between B' and the center of dilation would be:

[tex]Distance =\sqrt{(b-[\frac{3}{4}( y-b)+b])^2+(a-[\frac{3}{4} (x-a)+a])^2}[/tex]

Therefore the distance cannot be gotten until the center of dilation is given

Answer:

A,E

Step-by-step explanation:

Natural numbers include the normal counting number like 1, 2, 3, and so on and also 0.

B) does not work as negative numbers are not numbers we start counting in

E) does not work as we don't count in fractions