a punch recipe calls for 2parts soda to 3 parts fruit juice. if you use 8 cups of soda, of soda how much fruit juice do need​

Answer:

[tex]\large\boxed{B.\ w=-\dfrac{4}{3},\ w=\dfrac{5}{2}}[/tex]

Step-by-step explanation:

[tex]6w^2-7w-20=0\\\\6w^2-15w+8w-20=0\\\\3w(2w-5)+4(2w-5)=0\\\\(2w-5)(3w+4)=0\iff2w-5=0\ \vee\ 3w+4=0\\\\2w-5=0\qquad\text{add 5 to both sides}\\2w=5\qquad\text{divide both sides by 2}\\\boxed{w=\dfrac{5}{2}}\\\\3w+4=0\qquad\text{subtract 4 from both sides}\\3w=-4\qquad\text{divide both sides by 3}\\\boxed{w=-\dfrac{4}{3}}[/tex]

The slope is found by the change in Y over the change in X.

Slope = (25 - -3) / (-36 - 12)

Slope = 28 / -48

Simplify:

Slope = -7/12

Answer:

Tan (M) = m/p

Step-by-step explanation:

Tan (M) = Oppo. / Adj.

Tan (M) = m/p

The required value of the tanM for the given triangle is tanM = m/p.

These are the equation that contains trigonometric operators such as sin, cos.. etc. In algebraic operations.

The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°

here,
For the given triangle,
TanM = perpendicular / base

From the figure  perpendicular =  m, base = p
Now,
tanM = m/p

Thus, the required value of the tanM for the given triangle is tanM = m/p.

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Answer:

The correct answer is A.

Answer:

Step-by-step explanation:

Section II would be correct

ANSWER

ii

EXPLANATION

The region that represents A intersection B is region ii.

This is the region that contains elements that belongs to A or B or both.

From the Venn Diagram,

[tex]A\cap B = ii[/tex]

The correct choice is A.

Answer:

x = 5/3    or   x = -5/2

(3x-5) or (2x+5)

Step-by-step explanation:

Given in the question an equation

6x²+5x- 25

here a = 6

        b = 5

        c = -25

To solve the polynomial equation we will use quadratic equation

x = -b ±√(b²-4ac) / 2a

Plug values in the equation

-5±√(5²-4(6)(-25)) / 2(6)

-5±√(25 + 600) / 2(6)

-5±√(625) / 2(6)

-5± 25 / 2(6)

-5 + 25 / 2(6)  or -5 - 25 / 2(6)

x = 5/3    or   x = -5/2

trapezoid: (25+19)/2 *20 (see formula for area of a trapezoid)

and the smaller parallelogram: (10*17) (see formula for parallelogram)

and subtract the parallelogram from the trapezoid and you're done!

so we have a trapezoid with a parallelogram inside.

now, if we just get the area of the trapezoid, which includes the parallelogram, and then  get the area of the parallelogram and subtract it from that of the trapezoid, what's leftover is the shaded region, because we'd be in effect making a "hole" in the trapezoid and the area leftover is the shaded part.

[tex]\bf \stackrel{\textit{area of a trapezoid}}{A=\cfrac{h(a+b)}{2}}~~ \begin{cases} a,b=\stackrel{bases}{parallel}\\ \qquad ~~ sides\\ h=height\\ \cline{1-1} a=19\\ b=25\\ h=20 \end{cases}\qquad \stackrel{\textit{area of a parallelogram}}{A=bh}~~ \begin{cases} b=base\\ h=height\\ \cline{1-1} b=17\\ h=10 \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{trapezoid}}{\cfrac{20(19+25)}{2}}~~-~~\stackrel{\textit{parallelogram}}{(17\cdot 10)}\implies 10(44)-170\implies 440-170\implies 270[/tex]

Answer:

P = 0.332

Step-by-step explanation:

The probability of having the disease is 0.08

The probability that the test predicts with accuracy is 0.7.

We need to find the probability that the test positive for the disease.

Several cases may occur.

Case 1.

You have the disease and the test predicts it accurately

[tex]P_1 = 0.08(0.7) = 0.056[/tex]

Case 2

You do not have the disease and the test predicts that you have it

[tex]P_2 = 0.92(0.3) = 0.276[/tex]

Then the probability that the test predicts that you have the disease is the union of both probabilities P1 and P2

[tex]P = P_1 + P_2\\\\P = 0.056 + 0.276\\\\P = 0.332[/tex]

Answer:5-log^3 2

Step-by-step explanation:

Answer:

The answer is 5-log 3 2

Step-by-step explanation:

this is the answer on edge

you're welcome

formula for slope y2-y1 over x2-x1 so the answer should be -1.1 over -6.3

Answer:

12x^2

Step-by-step explanation:

The correct answer after simplification is  [tex]=64x^3+98x^2+48x+8[/tex]

To simplify (4x + 2)3, Use the identity,

[tex]\left(a+b\right)^3=a^3+3a^2b+3ab^2+b^3\\\\a = 4x \\b= 2[/tex]

Put the value of a nd b in the identity  and simplify,

[tex]\left(4x+2\right)^3=\left(4x\right)^3+3\left(4x\right)^2\cdot \:2+3\cdot \:4x\cdot \:2^2+2^3\\\\[/tex]

Perform elementary multiplication and addition,

[tex]=64x^3+98x^2+48x+8[/tex]

The correct answer is   [tex]=64x^3+98x^2+48x+8[/tex]

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Answer:

D???

Step-by-step explanation:

D????

stand·ard de·vi·a·tion

/ˈstandərd ˌdēvēˈāSHən/

nounSTATISTICS

a quantity calculated to indicate the extent of deviation for a group as a whole.

Answer:

1/5

Step-by-step explanation:

it went up one on the y axis and 5 on the X and the formula is rise/run or up/left

Answer:

n= -0.7

Step-by-step explanation:

so first subtract 1.8 from 3.2 and then divide by -2

-2n = 1.4

n = -0.7

hope this helps!!

Hello, let's solve this step by step.

You're asking, 2s=7+s and to solve for S.

Now first, simplify both sides of the equation.

                              2s=s+7

Then, subtract s from both sides.

                              2s−s=s+7−s

Simplify to get 7.

Therefore, S = 7.

Answer: The answer is D) 126in3

Step-by-step explanation:

When you multiply 42 and 9 you get 378, so from there you divide your answer by 3 which gets you

126in

Answer:

D.  [tex]y=\tan (x-\pi)+2.[/tex]

Step-by-step explanation:

Consider parent function [tex]y=\tan x.[/tex] The graph of this function is the same as the graph of the function [tex]y=\tan (x-\pi),[/tex] because the tangens has period of [tex]\pi.[/tex] (See first attached diagram)

Now, you can see that the graph of the function [tex]y=\tan (x-\pi)[/tex] is translated 2 units up. This translation gives you the function [tex]y=\tan (x-\pi)+2.[/tex] (see second attached diagram)

Answer: D

Step-by-step explanation: Apex

Yes, they're similar.

Step-by-step explanation:

Triangles are similar when they have the same shape but vary in sizes. This is our case here. We have two equilateral ∆s which makes them similar but what differs them is the length. One is 6 and the other is 10. Although that doesn't affect anything in the triangle. If you drew a height to any base (in either triangle) it would still be a bisector, median, and perp bisector. Their angles are alsp equal.

Joe is 68.4” tall. Set the ratio of 5/6=57/x, solve using the butterfly method (multiply 57 and 6, set equal to 5x) 57•6 is 342, so at this point it would be 342=5x. 342/5 is 68.4

By using the counting principle in mathematics, the student can know that there are 128 possible sandwiches that can be made with one type of each ingredient.

The question you're asking is related to the counting principle in mathematics. The counting principle suggests that if you can choose one item from 4 different types of bread, one from 8 types of meat, and one from 4 different types of cheese, the number of different sandwiches you could make is the product of these choices.

To calculate it, simply multiply the choices together like this: 4 (types of bread) * 8 (types of meat) * 4 (types of cheese) = 128. So, there are 128 different sandwiches that could be created with one type of each ingredient.

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A standard deck is composed of 52 cards, and contains 13 cards per suit. So, the theoretical probability of picking a card of any suit (and thus, in particular, a heart) is given by

[tex]P(\text{hearts}) = \dfrac{\text{\# of hearts in the deck}}{\text{\# of cards in the deck}} = \dfrac{13}{52} = \dfrac{1}{4}[/tex]

On the other hand, the experimental probability is (as the name suggests) the probability that we can deduce from our experiment: we picked 60 cards, and 12 of these were hearts. This means that it would seem to us that

[tex]P(\text{hearts}) = \dfrac{\text{\# of hearts we picked}}{\text{\# of cards we picked}} = \dfrac{12}{60} = \dfrac{1}{5}[/tex]

Answer:

5

Step-by-step explanation:

we know that

A degree in a polynomial function is the greatest exponent of that equation

In this problem the greatest exponent is x^5

therefore

the degree of the polynomial is 5

Answer:

Cost of shipping and handling = $23.453

Step-by-step explanation:

Given

Price of Chair=$220.59

Tax=7.9%

Invoice Price=$261.47

In order to find the cost of shipping and handling, we have to subtract the cost of chair and the tax from the invoice price of chair.

To find the tax,

Tax amount=220.59*0.079

=$17.42661

Now,

Cost of shipping and handling=$261.47-$220.59-$17.42661

=$23.453 ..

Answer:

The cost of shipping and handling is $23.45 .

Step-by-step explanation:

As given

Business services ordered a chair that cost $220.59.

if the California sales tax rate is 7.9%

7.9% is written in the decimal form

[tex]= \frac{7.9}{100}[/tex]

= 0.079

Thus

Sales tax price = 0.079 × Cost of the chair

                         = 0.079 × $220.59

                         = $ 17.43 (Approx)

Thus

Cost of the  ordered chair with sales tax price = Cost of the chair + Sales tax price .

                                                                            = $ 220.59 + $17.43

                                                                            = $ 238.02

As given

Upon arrival they received an invoice for $261.47.

Thus

Cost of  shipping and handling = Cost mentioned in invoice - Cost of the  ordered chair with sales tax price.

Put all the values in the above

Cost of  shipping and handling = $261.47 - $238.02

                                                   = $ 23.45

Therefore the cost of shipping and handling is $23.45 .

Y=24 because 60/20 is 3. 3*8 is 24

Answer:

[tex]y=24[/tex]

Step-by-step explanation:

Cross multiply, isolate the variable, and divide by the coefficient to solve.

[tex]\frac{8}{20}=\frac{y}{60} \\ \\ 20y=480 \\ \\ y=24[/tex]

Answer:

1. r=17

2. (-15,14) or (-15,-16)

Step-by-step explanation:

The radius of the circle is the distance from the center to the point on the circle, thus

[tex]r=\sqrt{(8-(-7))^2+(7-(-1))^2}=\sqrt{15^2+8^2}=\sqrt{225+64}=\sqrt{289}=17.[/tex]

The equation of the circle is

[tex](x-(-7))^2+(y-(-1))^2=r^2\\ \\(x+7)^2+(y+1)^2=289.[/tex]

If point lies on this circle, then its coordinates satisfy the circle's equation:

[tex](-15+7)^2+(y+1)^2=289\\ \\64+(y+1)^2=289\\ \\(y+1)^2=225\\ \\y+1=15\text{ or }y+1=-15\\ \\y=14\text{ or }y=-16[/tex]

the radius of the circle is 17 units.

the two possible points on the circle are (-15, 14) and (-15, -16).

The question requires calculating the radius of a circle given two points: the center of the circle and a point on the circumference. To find the radius, we will use the distance formula, which is derived from the Pythagorean theorem. The distance formula to find the distance between two points (x1, y1) and (x2, y2) is \\(
√{(x2 - x1)^2 + (y2 - y1)^2}\\).

Applying the distance formula with the center at (-7, -1) and a point on the circle being (8, 7), we get: \\(
√{(8 - (-7))^2 + (7 - (-1))^2}) = (√{(15)^2 + (8)^2}) = (√{225 + 64}) = (√{289}) = 17. Thus, the radius of the circle is 17 units.

To find the missing y-coordinate of the point (-15, ___) that lies on this circle, we use the circle's equation with its center at (-7, -1): ((x + 7)^2 + (y + 1)^2 = 17^2). Substituting x = -15, we solve for y.

((-15 + 7)^2 + (y + 1)^2 = 17^2)
((-8)^2 + (y + 1)^2 = 289)
64 + (y + 1)^2 = 289
(y + 1)^2 = 225
y + 1 = (√{225}) or y + 1 = -(√{225})
y = 14 or y = -16

Therefore, the two possible points on the circle are (-15, 14) and (-15, -16).

Answer:

[tex]\large\boxed{3a^n(a^n+a^{n-1})=3a^{2n}+3a^{2n-1}}[/tex]

Step-by-step explanation:

[tex]3a^n(a^n+a^{n-1})\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\=(3a^n)(a^n)+(3a^n)(a^{n-1})\qquad\text{use}\ x^n\cdot x^m=x^{n+m}\\\\=3a^{n+n}+3a^{n+n-1}\\\\=3a^{2n}+3a^{2n-1}[/tex]

Final answer:

The normal form of x + 5y - 2 = 0 is (1/√26)x + (5/√26)y - (2/√26) = 0. The length of the normal is 1, and the angle it makes with the positive x-axis can be calculated using tan θ = 5, which gives the angle as tan-1(5).

Explanation:

To rewrite the equation x + 5y - 2 = 0 in normal form, we need to express it in the form Ax + By + C = 0, where A2 + B2 = 1. The equation is already in this form, but we must divide each term by the square root of (12 + 52) to satisfy the condition for A2 + B2. After the division, the normal form becomes (1/√26)x + (5/√26)y - (2/√26) = 0.

The length of the normal is the magnitude of the vector (A, B), which in this case, is 1 due to the normalization. To find the angle θ that the normal makes with the positive x-axis, we use the relationship tan θ = B/A. For our equation, tan θ = 5/1, so θ = tan-1(5).

The analytical method of vector addition involves identifying the x- and y-components of vectors and merging them to calculate the resultant vector's magnitude and direction.

43.2/16= 2.7

Answer: 2.7

Your answer would be 2.7

Answer:

x=4, x=3

B is correct.

Step-by-step explanation:

Given: [tex]x^2-7x+12=0[/tex]

Using middle term splitting factor the left side equation.

[tex]x^2-4x-3x+12=0[/tex]

[tex](x-4)(x-3)=0[/tex]

Equate each factor to 0 and solve for x

x-4=0    or     x-3=0

x=4 and x=3

Hence, The solution of the equation is 4 or 3

Answer:

y=15t

t is time