The manager of a store that specializes in selling tea decides to experiment with a new blend. She will mix some Earl Grey tea that sells for $6 per pound with some Orange Pekoe tea that sells for $4 per pound to get 200 pounds of the new blend. The selling price of the new blend is to be $5.50 per​ pound, and there is to be no difference in revenue from selling the new blend versus selling the other types. How many pounds of the Earl Grey tea and Orange Pekoe tea are​ required?

The translation means that the x coordinate is moving 4 units to the right and the y coordinate is moving9 units to the right.

A translation in mathematics does not turn a shape; instead, it moves it left, right, up, or down. They are congruent if the translated shapes (or the image) seem to be the same size as the original shapes. They have only changed their direction or directions. The shape just shifts from one place to another, therefore there is no change in the shape.

The translation is T(x,y) (x+4,y+9).

The translation means that the x coordinate is moving 4 units to the right and the y coordinate is moving9 units to the right.

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Answer:

A.  y = -3x + 2

Step-by-step explanation:

Slope of a line perpendicular to another line is the negative reciprocal of the slope of the other line.

1/3 → -3/1

Answer:

B=B1B2B3/B1B2+B2B3+B1B3

Step-by-step explanation:

B1 B2 B3=B2B3B+B1B3B+B1B2B

B2B3B+BB1B3B+B1B2B=B1B2B3

(B2B3+B1B3+B1B2)B=B1B2B3

B=B1B2B3/B2B3+B1B3+B1B2

B=B1B2B3/B1B2+B2B3+B1B3

Answer: 42

Step-by-step explanation: 165 x .25 = 42

Answer:

42

Step-by-step explanation:

If Naomi has 168 apps, then 100% is equal to 168 (since that's all her apps)

If 25% of these apps are games, then 25% is equal to x

If we multiply the number of total apps by the percentage of games, we'll find the total number of game apps

First change the percentage into a decimal:

25% = 0.25

Then multiply:

168 * 0.25 = x

Simplify:

x = 42

Another way you can do this is by realizing that 0.25 is equal to 1/4. If 168 is multiplied by 1/4, then that means the resulting equation is:

168/4 = x

x results in the same answer as the previous way:

x = 42

The domain of the composite function f(-6) - f(9) for the function f(x) = 2x + 15 is equal to -30.

A function is composite when the co- domain of the first mapping is the domain of the second mapping

We shall evaluate the domain of the function f(-6) - f(9) as follows:

f(-6) = 2(-6) + 15 {put -6 for x }

f(-6) = -12 + 15

f(-6) = 3

f(9) = 2(9) + 15 {put 9 for x }

f(9) = 18 + 15

f(9) = 33

f(-6) - f(9) = 3 - 33

f(-6) - f(9) = -30

Therefore, the domain of the composite function f(-6) - f(9) for the function f(x) = 2x + 15 is equal to -30.

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Possible question:

Given the function f(x) = 2x + 15. What is f(-6) - f(9)?

The statements that are true about the two given functions intersections are; D. II and III

The functions we are working with are;

f(x) = ²/₃x - 4

g(x) = ¹/₄x + 1

I) f(4) = ²/₃(4) - 4 = -4/3

g(4) = ¹/₄(4) + 1 = 2

II)  f(12) = ²/₃(12) - 4

f(12) = 4

g(12) = ¹/₄(12) + 1

g(12) = 4

III) The coordinates of their intersection is; 12, 4

IV) This is incorrect

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Answer:

In mathematics, a unit circle is a circle of unit radius—that is, a radius of 1. Frequently, especially in trigonometry, the unit circle is the circle of radius 1 centered at the origin (0, 0) in the Cartesian coordinate system in the Euclidean plane.

Step-by-step explanation:

Answer:

14.8

Step-by-step explanation:

Answer: Anita gave $14.80 to the cashier.

Step-by-step explanation:

Add $10.04 and $4.76 together to find your total.

$10.04 + $4.76 = $14.80

Meaning, Anita gave $14.80 to the cashier.

The total time that it took Pat and Rich to get to the beach is given as 3 hours.

Let's call the time it took Pat and Rich to drive to the beach "t".

Since it took them twice as long to get back, it took them 2t to get back.

The total time they spent traveling was 9 hours, so we can set up an equation:

t + 2t = 9

Combining like terms:

3t = 9

Finally, dividing both sides by 3:

t = 3

So it took them 3 hours to drive to the beach, and 6 hours to drive back.

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Answer: A) 2 and a half B) 5 pints

Step-by-step explanation:

in 1 cup there are 16 table spoons.

a) 4tbsp (2 servings) times 10 (to reach 20 servings) =40 tbsp

40/16 =2.5

ANSWER A= 2 and a half cups of lemon juice.

in 1 pint there are 2 cups.

b)

1 cup = 1/2 a pint,

1/2 pint (2 servings) times 10 (to reach 20 servings) = 5 pints

ANSWER B= 5 pints of olive oil

Answer:

working on a answer one second

Step-by-step explanation:

She made 12 out of 25 free throws, so in fraction it is expressed as 12/25. A fraction is useful here to show how many of her throws are successful compared to all the attempted throws.

A fraction is defined to be a part of a whole. It can also be defined as a numerical quantity that's not an integer. The parts of a whole or collection of things can be represented by a fraction. For instance, to cut a pie in half means we cut the pie so that there will be 2 halves of the pie.

A common fraction has two parts, which are the numerator and the denominator. The number above the line is the numerator, while the number under the line is the denominator. The numerator represents the parts and the denominator represents a whole collection.

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The solution of the Jordan's system is 3/2 and -1.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

y = 2x² + 3..............(1)

y – x = 6

y= 6 +x ..............(2)

Put the value from (2) in equation (1) we get

y = 2x² + 3

6+ x  = 2x² + 3

2x² + 3 -6 -x = 0

2x² - x - 3 = 0

2x² -3x + 2x -3= 0

x( 2x-3) +1 (2x-3)= 0

(2x- 3)(x+1)= 0

x= 3/2, -1.

Hence, the value is 3/2, -1.

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The Question you have attaches seems to incomplete/ inappropriate.

the complete question is

Jordan is solving this system of equations: y = 2x2 + 3 and y – x = 6. Which statements are true about Jordan’s system? Check all that apply.

The degrees of freedom for this test are (3 - 1) = 2. With a 5% significance level and 2 degrees of freedom, the critical value for a chi-squared distribution is 5.991.

To determine whether customer preferences have changed, the analyst can conduct a hypothesis test. The null hypothesis is that customer preferences have not changed, and the alternative hypothesis is that customer preferences have changed.

The test statistic used to test this hypothesis is a chi-squared statistic. The formula for the chi-squared statistic is:

X² = ∑((O - E)² / E)

where O is the observed frequency, and E is the expected frequency based on the null hypothesis.

The expected frequency for Apple is 200 * 0.45 = 90, for Samsung is 200 * 0.40 = 80, and for others is 200 * 0.15 = 30.

Calculating the chi-squared statistic:

X² = ∑((102 - 90)² / 90) + ((82 - 80)² / 80) + ((16 - 30)² / 30) = (12² / 90) + (2² / 80) + (14² / 30) = 144 / 90 + 4 / 80 + 196 / 30 = 2.56 + 0.05 + 6.53 = 9.14

The degrees of freedom for this test are (3 - 1) = 2. With a 5% significance level and 2 degrees of freedom, the critical value for a chi-squared distribution is 5.991.

Since 9.14 > 5.991, the analyst can reject the null hypothesis and conclude that customer preferences have changed from their levels before the advertising campaigns were launched.

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Answer:

13

Step-by-step explanation:

cos 13 x 2 = 26

13 is a factor that is more than 4 and less then 26

The factor of the number 26 that is between 4 and 26 is 13. Factors are the numbers that can divide into a number without leaving a remainder. In this case, the factors of 26 are 1, 2, 13, and 26.

In mathematics, a factor of a number is a number that divides into another number without leaving a remainder. In the case of the number 26, its factors include 1, 2, 13, and 26. The factor of 26 that is between 4 and 26 is 13.

To find this, you can go through the factors of 26 one by one. The factors are found by dividing 26 by all the numbers up to 26, and the numbers that give a remainder of 0 are the factors. In this case, 1, 2, 13, and 26 divide evenly into 26, and so are the factors of 26. Of these, only 13 lies between 4 and 26.

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The volume of the composite figure  is: 2,412 millimeters cubed.

How to find the Volume of the composite figure?

Dimension of top rectangular prism:

Volume of top rectangular prism = 13× 12× 12

Volume of top rectangular prism = 1872 mm³

Dimension of bottom rectangular prism:

Volume of bottom rectangular prism = 15× 12× 3

Volume of bottom rectangular prism = 540 mm³

Volume of the composite figure = 1872 + 540

Volume of the composite figure   = 2412 mm³

Therefore the volume of the composite figure is 2412 mm³.

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Answer:

Step-by-step explanation:

2 hrs 12 mins

Answer: All angles of the regular polygon in the image are 90 degrees

Step-by-step explanation: Hello!

All interior angles of a four-sided polygon add up to 360 degrees.  Since this is a square, all interior angles are congruent.  There are four interior angles that are congruent and they all add up to 360 degrees.  This can be represented by the equation:

s (side) x 4 = 360

Divide each side by 4 by the division property of equality.

s x 4/4 = 360/4

s = 90 degrees.

Each angle of the polygon is 90 degrees.

"The common property for all [] four-sided shapes is the sum of interior angles is always equal to 360 degrees. For a regular quadrilateral such as square, each interior angle will be equal to: 360/4 = 90 degrees."
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Answer:

The measure of each interior angle of the regular polygon pictured below is 151.7°. This can be calculated using the formula 180n - 360, where n is the number of sides of the polygon. In this case, n = 8, so the measure of each interior angle is 180(8) - 360 = 151.7°.

To obatin the graph of y=(x-8)^2 shifts the graph of y=x^2 8 units right

From the question, we have the following parameters that can be used in our computation:

y=(x-8)^2

y = x^2

In the above equations, we can see that

The value of 8 is subtracted from x in y = x^2 to get y = (x - 8)^2

This represents a right translation by 8 units

Hence, the translation is 8 units to the right

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Answer:

X=7

Step-by-step explanation:

To solve this equation, we need to use the logarithmic properties. First, we can use the property loga(bx) = x loga(b) to rewrite the equation:

log3(5) + log3(x) = log3(35)

This can be rewritten as:

log3(5x) = log3(35)

Using the property loga(b) = c, we can re-write the equation as:

x = 35/5

Now, we can calculate the value of 35/5:

35/5 = 7

Therefore, the solution to the equation is x = 7.

x = 112 degrees.

A full triangle is 180 degrees total so do 180 - (39 + 29) = 112.

y = 220 degrees.

The sum of exterior angles are 360 degrees so 360 - 140 = 220.

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The monthly payments over a period of 5 years is $214.05.

A fixed-rate mortgage is a home loan option with a specific interest rate for the entire term of the loan. Essentially, the interest rate on the mortgage will not change over the lifetime of the loan and the borrower's interest and principal payments will remain the same each month.

Given that, a family borrows $12,843 for an addition to their home.

The loan is to be paid off in monthly payments over a period of 5 years

We know that, 5 years = 60 months

Now, monthly payment = Total money/Number of months

= 12,843/60

= $214.05

Therefore, the monthly payments over a period of 5 years is $214.05.

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All the correct points lie on line f (x) = - 3x - 5 are (3, - 14)

A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.

We have to given that;

The equation of line is,

⇒ f (x) = - 3x - 5

Now, All the correct points that lie on line are satisfy the line.

For point (5, - 21);

⇒ f (x) = - 3x - 5

⇒ - 21 = - 3 × 5 - 5

⇒ - 21 = - 15 - 5

⇒ - 21 ≠ - 20

For point (3, - 14);

⇒ f (x) = - 3x - 5

⇒ - 14 = - 3 × 3 - 5

⇒ - 14 = - 9 - 5

⇒ - 14 = - 14

For point (0, - 6);

⇒ f (x) = - 3x - 5

⇒ - 6 = - 3 × 0 - 5

⇒ - 6 = - 0 - 5

⇒ - 6 ≠ - 5

For point (-5, 8);

⇒ f (x) = - 3x - 5

⇒ 8 = - 3 × - 5 - 5

⇒ 8 = 15 - 5

⇒ 8 ≠ 10

For point (-3, 5);

⇒ f (x) = - 3x - 5

⇒ 5 = - 3 × - 3 - 5

⇒ - 5 = 9 - 5

⇒ - 5 ≠ 4

Thus, Point (3, - 14) lie on the line.

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The statement that explains how mental math can be used to find how much farther Josh rode than Claire is that to round 11.4 to 11. Round 6.8 to 7. Then subtract 7 from 11 to get 4. Josh rode 4 miles farther than Claire. That is option A.

The use of metal maths is simply the calculation of a given mathematical problem without the use of an aid such as electronic devices.

The number of miles covered by Josh = 11.4 miles

The number of miles covered by Claire = 6.8 miles

To use mental maths, the values are rounded up to the nearest whole number and the difference between the two are gotten.

That is;

11.4 = 11

6.8 = 7

Therefore the difference in the distance between the two individuals = 11-7 = 4 miles.

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The expected phenotypes for the offspring is All tall.

Mendel came to the conclusion that some features predominated over other inherited traits when he noticed that a heterozygote offspring might exhibit the same phenotype as the parent homozygote. However, the connection between genotype and phenotype is rarely as straightforward as Mendel's descriptions of dominant and recessive patterns.

Given:

One is short and one is tall, Tall is dominant.

When two plants that are tall and short are crossed. They would all produce tall plants as a result, T.

The first crossing produced these children.

As a result of their parents' TT and SS genes, they all now have TS genes.

There will be some towering and some short off springs when these off springs are crossed. TS and TS will cross at this location. Given that they are all genetically tall and short.

So, The ratio of tall to short children they would have according to Mendel is 3:1.

Hence, almost All are tall.

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Answer:-200

Step-by-step explanation:

The equation of line is y = -50x + 150

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

Points:(1, 100) (2, 50) (4, 25), (5, 20)

so, the slope is

= (50-100)/ (2-1)

= -50 /1

= -50

using slope intercept form

y - 100 = m (x- 1)

y- 100 = -50(x-1)

y- 100 = -50x + 50

y = -50x + 50 + 100

y = -50x + 150

Hence, the equation of line is y = -50x + 150.

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The trigonometric function equation obtained for the graph is y = 4 sec (πx) - 2.

What is trigonometric function?

Simply put, trigonometric functions also referred to as circular functions are the functions of a triangle's angle. This means that these trig functions provide the relationship between the angles and sides of a triangle.

The upper waver have a value of y = 2 and the lower waves have a value of  y = -6.

Add the points and divide by 2 -

[2 + (-6)] / 2

(2 - 6) / 2

-4 / 2

-2

Therefore, the midline is y = -2.

The vertical asymptotes are drawn and they intersect the midline at certain points.

Then the sinusoidal function is drawn using the intersection point.

There is one period of sinusoidal function that is starting from x = 0 and goes upto x = 2.

This pattern tells that the function is of cosine.

Then the graph will be of trigonometric function secant .

The value of C = -2 , A = 4, D = 0

Here C is the midline value, A is the points above and below the midline, D is the horizontal shift and 2π/B is the period.

Now, 2π/B = 2

2B = 2π

B = π

Now, use the formula -

y = A cos (B(x - D)) + C

y = 4 cos (π(x - 0)) - 2

y = 4 cos (πx) - 2

y = 4 sec (πx) - 2

Now plot the graph for the obtained function.

The graph is same as given in the question.

Therefore, the function is y = 4 sec (πx) - 2.

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Answer:

x = 3.5

Step-by-step explanation:

x/2 + 2 = 9

x/2 = 7

x = 3.5