What is the solution to y + 8.5 = 17.2?

Answer:

[tex]cos150 = -\frac{\sqrt{3} }{2}[/tex]

Step-by-step explanation:

Recall the unit circle. At 150 deg, the point value is (-sqrt3/2, 1/2)

Remember the cosine is always the x-value, and sine is always the y-value.

This means that cosine will be -sqrt3/2.

Answer:

Ms. Barclay ordered 9 cupcakes.

Step-by-step explanation:

$1.25x9=11.25

11.25+3.25=$14.50

Answer:

7b = 10

Step-by-step explanation:

We have that:

5a + 2b = 0

a is two less than b

So a = b - 2.

Replacing in the above equation:

[tex]5a + 2b = 0[/tex]

[tex]5(b - 2) + 2b = 0[/tex]

[tex]5b - 10 + 2b = 0[/tex]

[tex]7b = 10[/tex]

[tex]b = \frac{10}{7}[/tex]

7b

[tex]7b = 7\frac{10}{7} = \frac{70}{7} = 10[/tex]

7b = 10

Answer:

B

Step-by-step explanation:

They are increasing by 1 vertically. Hope this helps!! :)

Answer:

[tex]A(t) = 2,000(1.05)^{t}[/tex]

Step-by-step explanation:

The compound interest formula is given by:

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

You invest $2,000

This means that [tex]P = 2,000[/tex]

Compounded anually

Once a year, so [tex]n = 1[/tex]

Interest rate of 5%.

This means that [tex]r = 0.05[/tex]

Amount after t years:

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

[tex]A(t) = 2,000(1 + \frac{0.05}{1})^{t}[/tex]

[tex]A(t) = 2,000(1.05)^{t}[/tex]

Answer:

b

Step-by-step explanation:

The given expression can be rewritten as 2 × 5 × 5 × 5 × 5 and is equal to 1250. The correct option is (B).

Some of the rules of exponents are as follows,

The product of two exponents having the same power is equal to the power of their base multiplied.

The product of two exponents having the same base is equal to the sum of the powers of different exponents to the same base.

The given expression is 2 × 5⁴.

It can be simplified using the rule of indices as follows,

The expression 5⁴ can be written as 4 times 5 as below,

5⁴ = 5 × 5 × 5 × 5.

Then, the expression can be evaluated as

⇒ 2 × 5 × 5 × 5 × 5

⇒ 1250

Hence, the expression can be simplified to obtain 1250.

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Answer:

$160

Step-by-step explanation:

In the monthly payment option she would pay $80 per month, therefore in a year (12 months) she would pay:

$80*12 =  $960

We can see that this amount is greater than the $800 she would pay in the lump sum payment option.

The money she would save is:

$960 - $800 = $160

She would save $160 yearly with the lump sum payment option.

Answer: 3. 4[tex]\sqrt{13}[/tex]            4. [tex]\sqrt{225}[/tex]    

Step-by-step explanation:

8^2 + 12^3 = c^2

64 + 144 = c^2

208 = c^2

√208

[tex]4\sqrt{13}[/tex]

The final answer is the square root of 208

8^2 + b^2 = 17^2

64 + b^2 = 289

-64               64

   b^2 = 225

[tex]\sqrt{225}[/tex]

D because Caleb had swam 8 more after swimming 13

Answer:

Internal validity

Step-by-step explanation:

The internal validity here is weak

Internal validity describes the extent to which an evidence weighs the cause and effect claim. In this study, the internal validity that brought about failure in the new exam is mainly due to the environment where the exam was written and not the new exam itself.

So this validity is weak in claiming that the new exam is not a good substitute for the old exam.

Putting them in the same good environment might help the researchers to draw a better conclusion.

Answer:

$3.50

Step-by-step explanation:

$2 + (3 x $0.50) = x

$2 + $1.50 = x

x = $3.50

Answer:$3:50

Step-by-step explanation: 2+0.50+0.50=3+0.50=$3.50

Answer:

Step-by-step explanation:

1/10*5 is the answer i think...

Answer:

Step-by-step explanation:

Hi,

for n =0, so at the beginning we have 125 individuals

for n=1 the population is decreasing by 4%

it means that we got 125 - 124*0.04 = 125*(1-0.04)=125*0.96

for n = 2 we got [tex]125*0.96*0.96=125*0.96^2[/tex]

for n >= 1 we got [tex]125*(0.96)^n[/tex]

so the correct answer is A

do not hesitate if you need further explanation

hope this helps

Answer:

$200

$100

Step-by-step explanation:

Darnell spends $100 dollars a week, if he reduces this spending by $50 a week, he will be able to save

$50 x 4 weeks in a months = $200

This, in a month he will be able to save $200.

Increasing his credit card payment by $200 to a total of $300...

since he now spends $50 per week now,

in a month he will spend $50 x 4 weeks = $200 and be able to save $100.

Answer:

C = 20 + 0.001x

C = $20 + $0.001x

Step-by-step explanation:

Let x represent the number of minutes spent talking on the phone.

Given;

Fixed monthly charge F = $20

Charge per 10 minutes V = $0.01

Charge per minute = V/10 = $0.01/10 = $0.001

The equation to model the cost of a monthly cell phone bill;

Total cost = fixed cost + variable cost

C = F + (V/10)x

Substituting the values;

C = 20 + 0.001x

Answer:

The height of the ball is at it's maximum 1.5 units of time after launch.

Step-by-step explanation:

Suppose we have a quadratic function in the following format:

[tex]h(t) = at^{2} + bt + c[/tex]

If t is negative, the maximu value of h(t) will happen at the point

[tex]t_{MAX} = -\frac{b}{2a}[/tex]

In this question:

[tex]h(t) = -25t^{2} + 75t + 24[/tex]

So

[tex]a = -25, b = 75, c = 24[/tex]

Then

[tex]t_{MAX} = -\frac{b}{2a} = -\frac{75}{2*(-25)} = 1.5[/tex]

The height of the ball is at it's maximum 1.5 units of time after launch.

Answer:

9.72% probability that among the next 7 theft cases reported in this district, exactly 3 of them resulted from the need to buy drugs.

Step-by-step explanation:

For each theft, there are only two possible outcomes. Either the need to buy drugs is the reason of the theft, or it is not. Each theft is independent of each other. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

In a certain city district the need for money to buy drugs is stated as the reason for 70% of all thefts.

This means that [tex]p = 0.7[/tex]

Find the probability that among the next 7 theft cases reported in this district, exactly 3 of them resulted from the need to buy drugs.

This is P(X = 3) when n = 7. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 3) = C_{7,3}.(0.7)^{3}.(0.3)^{4} = 0.0972[/tex]

9.72% probability that among the next 7 theft cases reported in this district, exactly 3 of them resulted from the need to buy drugs.

Answer:

z/4

Step-by-step explanation:

you divide the numerator by the denominator

Answer:

z/4 is the answer

please brainliest me

Step-by-step explanation:

and can me divide which is also (/)

Answer:

The area of a trapezoid is 1/2 (b₁ + b₂) * h where b₁ and b₂ are the bases and h is the height. The answer is 1/2 * (3 + 4) * 1 = 3.5.

Step-by-step explanation:

45.50

Converting decimal

45.50 x 100 = 4550

Answer:

  $140

Step-by-step explanation:

You can add up the prices to find the total. Most of us find it easier to multiply the price by the number of items.

  cost of 2 shirts = (2)($25.00) = $50

  cost of 4 pants = (4)(22.50) = $90

The total was $50 +90 = $140.

Answer:

A.0.059 , B.0.063

Step-by-step explanation:

1. There are 13 clubs in a pack of 52 cards;

Hence the probability of picking the first club is 13/52;

The probability of picking the second is 12/ 51( remember one card has been removed already so the total number of cards decreases).

Probability of picking two clubs in succession is ;

13/52 × 12/51 = 0.0588 = 0.059( to the nearest thousandth).

2. The probability of drawing a club followed by a club with replacement is;

13/52 × 13 /52 = 0.0625 = 0.063( to the nearest thousandth)

Answer:

-14 / 3

Step-by-step explanation:

- Divergence theorem, expresses an explicit way to determine the flux of a force field ( F ) through a surface ( S ) with the help of "del" operator ( D ) which is the sum of spatial partial derivatives of the force field ( F ).

- The given force field as such:

                      [tex]F = (x^2y) i + (xy^2) j + (3xyz) k[/tex]

Where,

         i, j, k are unit vectors along the x, y and z coordinate axes, respectively.

- The surface ( S ) is described as a tetrahedron bounded by the planes:

                      [tex]x = 0 \\y = 0\\x + 2y + z = 2[/tex]

                      [tex]z = 0\\[/tex]

- The divergence theorem gives us the following formulation:

                      [tex]_S\int\int {F} \,. dS = _V\int\int\int {D [F]} \,. dV[/tex]

- We will first apply the del operator on the force field as follows:

                      [tex]D [ F ] = 2xy + 2xy + 3xy = 7xy[/tex]

- Now, we will define the boundaries of the solid surface ( Tetrahedron ).

- The surface ( S ) is bounded in the z - direction by plane z = 0 and the plane [ z = 2 - x - 2y ]. The limits of integration for " dz " are as follows:

                      dz: [ z = 0 - > 2 - x - 2y ]

- Now we will project the surface ( S ) onto the ( x-y ) plane. The projection is a triangle bounded by the axes x = y = 0 and the line: x = 2 - 2y. We will set up our limits in the x- direction bounded by x = 0 and x = 2 - 2y. The limits of integration for " dx " are as follows:

                     dx: [ x = 0 - > 2 - 2y ]

- The limits of "dy" are constants defined by the axis y = 0 and y = -2 / -2 = 1. Hence,

                    dy: [ y = 0 - > 1 ]

- Next we will evaluate the triple integral as follows:

                   [tex]\int\int\int ({D [ F ] }) \, dz.dx.dy = \int\int\int (7xy) \, dz.dx.dy\\\\\int\int (7xyz) \, | \limits_0^2^-^x^-^2^ydx.dy\\\\\int\int (7xy[ 2 - x - 2y ] ) dx.dy = \int\int (14xy -7x^2y -14 xy^2 ) dx.dy\\\\\int (7x^2y -\frac{7}{3} x^3y -7 x^2y^2 )| \limits_0^2^-^2^y.dy \\\\\int (7(2-2y)^2y -\frac{7}{3} (2-2y)^3y -7 (2-2y)^2y^2 ).dy \\\\[/tex]

                 [tex]7 (-\frac{(2-2y)^3}{6} + (2-2y)^2 ) -\frac{7}{3} ( -\frac{(2-2y)^4}{8} + (2-2y)^3) -7 ( -\frac{(2-2y)^3}{6}y^2 + 2y.(2-2y)^2 )| \limits^1_0\\\\ 0 - [ 7 (-\frac{8}{6} + 4 ) -\frac{7}{3} ( -\frac{16}{8} + 8 ) -7 ( 0 ) ] \\\\- [ \frac{56}{3} - 14 ] \\\\\int\int {F} \, dS = -\frac{14}{3}[/tex]

Answer:

The answer is 2.5ft².

Step-by-step explanation:

Given that the area of trapezoid formula is A = 1/2×(a+b)×h where a and b is the length and h is the height. Then substitute the following values into the formula :

[tex]area = \frac{1}{2} \times (a + b) \times h[/tex]

Let a = 1.2,

Let b = 0.8,

Let c = 2.5,

[tex]area = \frac{1}{2} \times (1.2 + 0.8) \times 2.5[/tex]

[tex]area = \frac{1}{2} \times 2 \times 2.5[/tex]

[tex]area = 2.5 {feet}^{2} [/tex]

Answer:

answer c.

y <= x - 2 and y >= x + 1

Step-by-step explanation:

You wrote the given answers wrong. Here are the right choices that are given as possible solutions:

O y >= x - 2 and y <= x + 1

O y < x - 2 and y > x + 1

O y <= x - 2 and y >= x + 1

O y > x - 2 and y < x + 1

The graph clearly shows two lines and the intended area is shaded and it is clearly including the lines.

Because the lines are included in the solution, by that alone, you can exclude two answers b and d.

Now you still need to decide between the in equalities in answer a and c. Both lines have a gradient of 1, so that does not help to distinguish...

The y intercept of the top line is at y= +1 and the shaded area is bigger then that....

By now it is absolutely clear that answer c must be the right answer and you are done!

EXTRA

Although you have deduced beyond any doubt, that answer c must be the right answer, you still can check your findings 'to be sure' by looking and checking for the bottom line...

BE CAREFUL, ONLY DO THIS IF YOU HAVE ENOUGH TIME. Again, you already know the right answer, and this is "just to confirm", so what is the harm in that?

By double checking yourself, it will sort of "undermine" your appproach. Basically you are doing something which is strictly spoken not nessasary any more. So I urge you to basically step over the urge to check yourself, and stick to your answer.

However, if you can not resit the temptation of checking to see if you actually found the right answer, you could test the y intercept of the bottom line, which is at y= -2 and the shaded area is smalller then that....

So again, it is now confirmed that answer c is indeed the right answer.

The correct system of linear inequalities is represented by the graph are,

⇒ y > x - 2

⇒ y < x + 1

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

The system of linear inequalities is shown in graph.

Hence, By graph;

The value of y - intercepts are,

⇒ - 2 and - 1

Hence, The correct system of linear inequalities is represented by the graph are,

⇒ y > x - 2

⇒ y < x + 1

Thus, The correct system of linear inequalities is represented by the graph are,

⇒ y > x - 2

⇒ y < x + 1

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Answer:

57°

Step-by-step explanation:

According to theorem, "any two angles in the same segment of the circle are equal"

So,

m<BED = 57°

Answer:

x = -0.4

multi-step equation

Step-by-step explanation:

subtract 0.4 from 4 and 0.4 so it cancells out,

0.4 - 0.4 = 0 (cancelled out)

4 - 0.4 = 3.6

then bring down -9x and divide -9 from both sides

-9/-9 = 0 (cancelled out)

3.6 / -9 = -0.4

x = -0.4

Answer:

x = -0.4

Step-by-step explanation:

We have the equation:

-9x + 0.4 = 4

First, the operation to move all the constants to the right side is subtraction since we would have to subtract 0.4 from each side, let's see this:

Now, we have all the constants on the right side of the equation.

Now, the operation we need to perform to isolate the variable is division (since the x has a -9 that is being multiplied by x) we need to do the opposite operation:

Thus, the answer to this equation is x= -0.4

Answer:

I think it is -2

Step-by-step explanation:

I think but I do not know

ANSWER: "There is not enough information to determine the answer". Option D is correct.

Step-by-step explanation:

For a case that was ruled by a court to be reversed by a higher court, they must be conditions in the ruling of the lower court that has been reconsidered by the higher court. This is regardless of the jurisdiction of the court or judge that ruled the case.

A case from all the courts in the options can be reversed by a higher court if the courts judgement lacks merit by the higher court, at any given times, irrespective of the court.

Answer:

126 in²

Dude just trust me