The equation for a projectile's height versus time is h(t) = -16+2 +Vot+to. A tennis ball machine serves a ball vertically into the air from a height of 2 feet, with an initial speed of 110 feet per second. After how many seconds does the ball attain its maximum height? Round to the nearest hundredth.

Answer:

7 toys and 0 mail boxes

Step-by-step explanation:

Answer:

Given that:!

Carlo mailbox = 1

Anita mailbox = 3

Carlo toy = 1

Anita toy = 4

Carlo work = 7 hours per week

Anita work= 24 hours per week

mailbox sells = $8

toy sells $14 =

solution

we consider here number of mailboxes is m

and m≥0

and

number of toys is t

and t≥0

so we can say equation will be

1m + 1t ≤7

3m+ 4t≤ 2

solve these equation 1,2,3 and 4 in graph and we will get graph that is attach here

we get here are 4 corner that is

The corner points are: (0, 0), (7, 0), (4, 3), (0, 6)

so objective revenue function is

F(m, t) 8m + 14t =

put here all value of corner

F(0, 0) = $0

F(7, 0) = 7×8 = $56

F(4, 3) = 4×8+ 3×14= $74

F(0, 6) = 6×14 = $84

so here maximize the revenue they should make 6 toys

Answer:

  -2

Step-by-step explanation:

You want to help a student evaluate -8-2(-3).

The given expression consists of a sum of a number and a product. The first operation to be performed is to find the product:

  -8-2(-3) = -8 +6

Then the sum can be performed:

  -8 +6 = -2

The student should be reminded to identify the parts of the expression and use the order of operations to evaluate them.

Answer:

all the number to the left of -12 on a number line.  -12 is not a solution.  If we were graphing this, we would have an open circle above -12 on a number line and the dark ray points to the left of -12

Step-by-step explanation:

We can conclude that (B) 13 : 8 is the ratio of Rye bagels to Plain bagels.

So, the ratio of Rye bagels to Plain bagels:

Then,

Therefore, (B) 13 : 8 is the ratio of Rye bagels to Plain bagels.

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The correct question is given below:

A bagel shop sold 8 plain bagels and 13 rye bagels. What is the ratio of the number of rye bagels to the number of plain bagels sold?

Answer:

$5,919.75

Step-by-step explanation:

What is Annual Compound Interest?

Annual compound interest is represented by this formula:

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

You have been giving all the information needed to solve this equation, so plug in what you have. and solve for A.

[tex]A = (2000)( 1 + \frac{0.11}{4} )^{(4)(10)}[/tex]

[tex]A = (2000) (1.0275)^{40}[/tex]

[tex]A = (2000) (2.9598739872)\\[/tex]

[tex]A = 5919.74797[/tex]

Round your answer to the nearest hundred, and the account balance after 10 years should be $5,919. 75

The pairs of angles that are alternate interior angles will be angle 6 and angle 8.

When a transversal intersects two parallel lines, the angles that are created inside are equal to the alternate pairings of that transversal. Alternate interior angles are what they are termed.

Angles that are exterior to the lines, have different vertices, and sit on different sides of the transversal are referred to as alternate exterior angles. In other words, eight angles are created when a transversal intersects two parallel lines.

These van be illustrated in angle 6 and 8

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Lines l and m are parallel. Which of the following pairs of angles are alternate interior angles? ∠1 and ∠4 ∠2 and ∠3 ∠6 and ∠8

Answer:

4

Step-by-step explanation:

to solve this equation you should add the values on the left side then divide 10 by whatever value you get

-2(x-1)+4x=10

-2x+2+4x=10

2x+2=10

2x=10-2

2x=8

x=4

The two numbers are:

The greatest common factor is the product of common factors.

Since we see that P is a point on the perpendicular bisector, l, of MN, we have proven the required PM = PN by the definition of reflection, we can conclude that point P is the image of itself , while point N is the image of M .

We are given :

P is a point on the perpendicular bisector, l, of MN.

Now, we want to prove the assertion that PM = PN

A Reflection is defined as a transformation in which a given figure is the mirror image of the other. This means that every point on the new image is a mirror reflection of itself .

From the question, we can say that by the definition of reflection, we can conclude that point P is the image of itself , while point N is the image of M .

The perpendicular bisector, l is acting as a Line of symmetry which is also called axis of reflection.

Now, due to the fact that reflections preserve lengths in transformation,  it means that we have; PM = PN.

Therefore, we see that point N is the image of M .

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Answer:

Point M

Step-by-step explanation:

The tax deduction Katie paid for that week will be $78.5.

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that Katie earns $549 each week working her full-time job. Her employer has a 14.3% tax deduction on all monies earned each week.

The deduction will be calculated as follows:-

Deduction = ( 549 x 14.3 ) / 100

Deduction = 7850.7 / 100

Deduction = $78.50

Therefore, the tax deduction Katie paid for that week will be $78.5.

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Answer:

5y + 4; y = -4/5

Step-by-step explanation:

combine like terms

add 2y+3y together, and -1+5

5y+4=0

-4        -4

5y= -4

/5      /5

y= -4/5

Division is opposite of multiplication. If 3 groups of 4 make 12 in the multiplication, 12 divided into the 3 equal groups give 4 in each group in division. The main goal of dividing is to see how many equal groups are formed or how many are in the each group when sharing fairly.

In divisions involving fractions, numerator is called the dividend while the denominator is called the divisor while the answer is called the quotient.

Now, when Dividing decimal by a whole number, it means the decimal is the numerator while the whole number is the denominator.

The first step is to estimate quotient by approximating the dividend and divisor to the nearest compatible numbers. For example; 6.5/9

The nearest compatible number for numerator is 6 while for the denominator it is 10. Thus, we have;

7/10 = 0.7

Second step is to perform division with original numbers. This gives us;

6.5/9 = 0.722

Third step is to compare the both answers to see if our estimate makes sense.

Using compatible numbers gave us quotient of 0.7 while the normal division gave us a quotient of 0.722

Since both the quotient are very close, then it means our estimated quotient is okay.

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Please, let me know if you have any question anytimeGiven:

mean = μ = 8

standard deviation = σ = 0.7

random value = x = 9

Then, the formula to calculate the z score is given by:

Substitute the values:

Answer: 1.4

Triangles P is equal to triangle v and triangles A is equal to triangle J.

Consider the unit of the scale on the X-axis is 1 unit. and

Consider the unit at Y-axis is 1 unit.

Take a triangle p and measure each unit.

1/2 + 1/2 + 1/2 + 1 + 1 + 1 =  9/2

=4.2

Take a triangle V and measure each unit.

1/2 + 1/2 + 1/2 + 1 + 1 + 1 =  9/2

=4.2

∴ The calculation is too same.

Here, ΔP=ΔV

Take a triangle I and measure each unit.

unit of I is 1.

Take a triangle J and measure each unit.

unit of J is 1.

∴ ΔI=ΔJ

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Now multiply 176 by 60 and that is the answer, Khalil :=)

yes,  the square box song big enough to fit the pizza inside.

what is square?

A square is a regular quadrilateral , which means that it has four equal sides and four equal angles.

we have that,

the diameter of the pizza is

D = 10 1/3in

the wide of the square box is

b=10.38in

we know that  

for the pizza to fit inside the box ,it must be fulfilled that

D ≤ b

convert 10.38 in to fraction number

10.38 (100/100)= 1.038/100=519/50

convert 101/3 in to an improper fraction

10 1/3 = 10+3+1/3=31/3

multiply the diameter of the pizza by 50 both numerator and denominator =31+50/50+3= 1.550/150 in

multiply the wide of the box by 3 both numerator and denominator 1.550/150in ≤ 1.557 /150 in

therefore

the pizza fit inside the box .

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Answer:

SOLUTION

TO CHOOSE THE CORRECT

OPTION

Given the relation R = {(6,4), (8,-1), (x,7), (-3,-6)}. Which of the following values for x will make relation R a function

(a) 8

(b) 6

(c) -3

(d) 1

CONCEPT TO BE IMPLEMENTED

FUNCTION

Let A and B are two non empty sets. A Mapping (function ) f from A to B is a rule that assigns to each element x of A a definite element y in B

EVALUATION

Here the given relation

R = {(6,4), (8,-1), (x,7), (-3,-6)}

Take A = {6,8,x,-3}

B={-6, -1, 4,7}

In order to satisfy all requirement for R to be mapping is R will have to assign to each element x of A a definite element y in B

Since R has mapped 6, 8, -3 already

So R can not map 6, 8, - 3 again

So R can not be any of 6, 8, - 3

.'. X = = 1

FINAL ANSWER

The correct option is (d) 1

1. . A relation R in the set of real numbers R defined as R = {(a,b): √a = b} is a

function or not. Justify

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2. Let R be a relation on a collection of sets defined as follows,

R={(A,B)|ACB}

Then pick out the correct statement(s).

A relationship between two quantities that is typically stated as the product of their respective quotients.

The ratio of red to blue marbles, or 6:4, is, for instance, 6:4 if a box contains six red and four blue marbles. Decimal or percentage expressions of ratios are also possible. This implies that there would be 10 children for every 16 adults.

The number of children there would be for 40 adults can be calculated by dividing 40 by 16, then multiplying the result by 10.

40/16=2.5

2.5×10=25

25 kids.

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Answer: a = 30

d = 4

c = 18

b = 6

Step-by-step explanation:

we have the expression

Rewrite as equivalent rational expressions with denominator (3x-8)(x-5)(x-3)

In this problem

3x^2-23x+40=3(x-5)(3x-8)

so

Multiply by (x-3)/(x-3)

Part 2

we have the expression

we have that

3x^2-17x+24=3(3x-8)(x-3)

so

Multiply the expression by (x-5)/(x-5)

We are given the following point:

The given transformation is the following:

Replacing the values:

Therefore, the image is (-6,-7)

The most appropriate choice for fraction will be given by -

Bernie can make 10 stools

What is a fraction?

Suppose there is a collection of objects and a part of collection has been taken. The part which is taken is called fraction. In other words, part of a whole is called fraction.

The upper part of fraction is called numerator and the lower part of fraction is called denominator.

[tex]2\frac{1}{2}[/tex] feet = [tex]\frac{5}{2}[/tex] feet of wood can be used to make 2 stools

1 feet of wood can be used to make [tex]2 \div \frac{5}{2}[/tex] stools

                                                           [tex]2 \times \frac{2}{5}[/tex] stools

                                                           [tex]\frac{4}{5}[/tex] stools

[tex]12\frac{1}{2} = \frac{25}{2}[/tex] feet of wood can be used to make [tex]\frac{4}{5} \times \frac{25}{2}[/tex] stools

                                                                      = 10 stools

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By using the method subtraction, Total prizes are left over are 52- 34= 18

To subtract in mathematics is to take something away from a group or a number of objects. The group's total number of items decreases or becomes lower when we subtract from it. The components of a subtraction issue are the minuend, subtrahend, and difference. An arithmetic operation called subtraction simulates the process of deleting items from a collection. The action of subtracting a matrix, vector, or other quantity from another according to predetermined rules in order to find the difference.

Given that,

A carnival game booth begins the evening with 40 prizes.

In the first 30 minutes that the booth is open, no one wins

a prize.

In the next hour, 8 prizes are won. In the next 45

minutes, 10 prizes are won.

During the next 45 minutes, the booth owner brings in 16 additional prizes.

In the next 2 hours, 12 prizes are won.

An hour later, 4 prizes are won, and the carnival closes for the evening.

Total prizes are 52 prizes.

Total prizes given are 34 prizes

Total prizes are left over are 52- 34= 18

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Given:

The graph of g(x) is the graph of f(x) horizontally stretched by a factor of 3.

ption D is the final answer.

Answer:

0.156

Step-by-step explanation:

P(A & B) = P(A) * P(B)

P(Yankess score less than 5 and lose) = P(score less than 5) * P(lose)

0.39 * 0.4 = 0.156

Number of ways to select five city commissioners from a group of eighteen candidates is equal to 8568.

As given in the question,

Total number of candidates = 18

An election ballot asks voters to select five city commissioners from 18 candidates

Number of ways to select 5 city commissioners from a group of 18 candidates

= ¹⁸C₅

= ( 18!) ) / (5!)(18 - 5)!

= (18!) / (5!)(13!)

= ( 18 ×17×16×15×14×13! ) / ( 5×4×3×2×1 )( 13! )

= 8568

Therefore, number of ways to select five city commissioners from a group of eighteen candidates is equal to 8568.

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Assuming that the scores on the first exam are a representation for the ones in the second exam, we will see that the probabilities are:

First we want to get the probability that a randomly selected student gets better than a C on the second test.

We assume the percentages for the first test can be applied for the second, so, the ones that got better than a C on the first exam are:

A: 12%

B: 28%

Then the probability is:

P( more than a C) = 12% + 28% = 40% (or 0.40 in actual probability notation)

b) Now we want to find the probability of fail.

The percentage that failed the first test is:

100% - 12% - 28% - 41% - 11% = 8%

So 8% of the students failed the first exam, this means that the probability that a randomly selected student fails the second exam is:

P = 8% or 0.8 in decimal notation.

C) 12% of the students tgot an A, so the probability that a randomly selected student does not get an A is:

P = 100% - 12%  =88%

or 0.88 in decimal notation.

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Answer:

Explanation:

To check for this, we have to get the slope of the two lines

The slope of a line can be calculated using the formula:

where (x1,y1) are the coordinates of the first point and (x2,y2) are the coordinates of the second

Mathematically, we have the slope of the first as follows:

For the second line, we have it that:

When two lines are perpendicular, the product of their slopes is equal to -1

We have it that:

This shows that the two lines are not perpendicular

The result of converting the number 130 base 10 to the base six is  [tex]334_{6}[/tex]

Given the number 130 base 10

Here we have use base conversion 130 base 10 to the number base six

.Here we have to follow 2 steps

In first step : Converting 130 to base 10

1 × [tex]10^{2}[/tex] = 100

3 × [tex]10^{1}[/tex] = 30

0 × [tex]10^{0}[/tex] = 0

Add of the result together

100 + 30 + 0 = [tex]130_{10}[/tex]

In second step : Converting [tex]130_{10}[/tex] to base 6

We can solve it by using the method

6 | 130

6 | 21 | 4

6 | 3 | 3

6 | 3 | 3

Then the result will be [tex]334_{6}[/tex]

Hence, the result of converting the number 130 base 10 to the base six is  [tex]334_{6}[/tex]

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