The table shows the results of a sit-up contest.Which athlete did the most sit-ups per minute? Casey 93/3D’Andrea 176/4Eden 215/5Flores 111/3

Given:

Required:

We need to find the quotient.

Explanation:

The degree of the denominator is 1.

The number of rows = 1+1=2.

The degree of the numerator is 3.

The niumber of columns = 3-1+1 =3.

The quotient of the polynomials

Final answer:

Answer:

Step-by-step explanation:

8 = 2^3

So 8^x =2 is 2^3x =2

Now they are same base.

So 3x =1 , x= 1/3

The rocket reaches its maximum height of 88 feet at 2.25 seconds after launch

The time

The function is given as

h(t) = -16t² + 72t + 7

To start with, we need to differentiate the function

h'(t) = -32t + 72

Next, we set the differentiated function to 0

-32t + 72 = 0

Next, we solve for the variable t

t = 2.25

This means that the time is 2.25 seconds

The maximum height

Recall that we have the value of t to be:

t = 2.25

Also, we have the equation to be

h(t) = -16t² + 72t + 7

So, we have

h(2.25) = -16(2.25)² + 72(2.25) + 7

Solve the expressions

h(2.25) = 88

This also means that the maximum height is 88 feet

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Answer:

parallel line slop2 = -5/4

perpendicular line slope = 4/5

Step-by-step explanation:

If 2 lines are parallel, they will have equal slopes.

Therefore, the slope of a line parallel to y = 1/4 - 5/4 x will be -5/4

If 2 lines are perpendicular, their slopes are negative reciprocals of each other.  So the slope of the perpendicular line = -1 ÷ -5/4 = 4/5

Answer:

Step-by-step explanation:

Triangle area formula:

We have:

The area is:

Correct choice is C

Answer:

The Vertex is (2,4)

An equation modeling the population, p, of Ohio given the year, t is,

p = 0.04t + 10.98.

What is population?

The term "population" refers to all citizens who are either permanently residing in a country or who are just passing through. This indicator reveals how many people typically reside in a certain area. Growth rates are the population changes that occur each year as a result of births, deaths, and net migration.

Given: In the year 2000, the population of Ohio was 11.03 million people. By the year 2017 the population of Ohio was 11.66 million people.

From this we get, two points (0, 11.03) and (17, 11.66).

First to find the slope using the above two points.

\(m=\frac{11.66 - 11.03}{17-0} = \frac{0.63}{17} = 0.04\)

Now to find the equation,

Consider,

p - 11.66 = 0.04(t - 17)

p - 11.66 = 0.04t - 0.68

          p = 0.04t - 0.68 + 11.66

          p = 0.04t + 10.98

Therefore, the equation modeling the population, p, of Ohio given the year, t is, p = 0.04t + 10.98

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Answer:

the answer is x=2

Step-by-step explanation:

You can actually solve this by inspection. For Quadrant I in the Cartesian plane the x-axis and y-axis must be positive. Hence x2 = 2 is the only positive answer in the option

Answer:

∠A= ∠E, ∠H = ∠D

and the last one

Step-by-step explanation:

opposite angles are equal, alternative interior angle are equal.

Answer:

∠A = ∠E and ∠H = ∠D.

∠E = ∠H and ∠F = ∠G

Step-by-step explanation:

Angles A and E are one set of corresponding angles and angles H and D are another set.  Corresponding angles are always congruent to each other and thus equal. Therefore, ∠A = ∠E and ∠H = ∠D.

Angles E and H are one set of vertical angles and angles F and G are another set.  Vertical angles are also always congruent to each other and thus equal.  Therefore ∠E = ∠H and ∠F = ∠G

Answer:(-7, infinite down)

Step-by-step explanation: -7,-8,-9...

Answer:

y = -5x - 2

Step-by-step explanation:

Slope m = (y2-y1)/(x2-x1)

given (-5,23) and (-1,3)

m = (3 - 23)/(-1 - -5)

m = -20/4 = -5

then Slope-intercept: y = mx + b

y = -5x + b

using (-1,3)

then 3 = -5(-1) + b

3 = 5 + b

b = -2

then y = -5x - 2

Answer:1.5 pints

Step-by-step explanation: I only want Brainliest and 5 star. Thank u

We can use the formula for the area of a rectangle, which is:

Area = length x width

We know that the area of Mr. Baker's yard is 1,472 square feet, and the width is 32 feet. So we can substitute these values into the formula and solve for the length:

1,472 = length x 32

Dividing both sides by 32, we get:

length = 1,472 / 32 = 46

Therefore, the length of Mr. Baker's yard is 46 feet.

Answer: I believe

M = 80

Step-by-step explanation:

100 - 20 = 80

The independent variable in this data is the speed of the car. This is because the congressman is trying to determine whether or not the gas mileage improves at lower speeds.

The dependent variable is the gas mileage, because it is the variable that is being measured and that is affected by the independent variable.

The other variables in this data are the weight of the car, the type of engine, and the year of the car. However, these variables are not being changed in this experiment, so they are not considered to be independent variables.

The data shows that the gas mileage of the Toyota Camry improves as the speed of the car decreases. This supports the claim of the supporters of the bill to reduce the speed limit.

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Answer:

y = sec(x-2) - 1

Step-by-step explanation:

We can determine the graph is of a secant by the repeating parabolas. From there, graph sec(x) and add the transformations necessary to replicate the graph.

The solution of the system of equations plotted is (x,y) = (4,7).

When a system of linear equations is given, then there exist 3 cases:

Case 1: Unique single solution:

In this case, the lines of the system of equations intersect at one point. That point is the solution of both equations.

The reason we consider intersection as the solution since that the intersection point tells us that it can satisfy both of the given equations simultaneously.

Case 2: No solution:

Then there is no such point that can satisfy both equations simultaneously. Thus, there is no solution to the given system of equations.

Case 3: Infinite number of solutions:

Well, in that case, both the lines are overlapping each other. Thus, all of the points of one line lie on another line too.

And since the given lines are made up of an infinite number of points, thus we will get infinite solutions.

In your case, the lines intersect at points where x=4 and y=7, or say they intersect at coordinate (4,7). Thus, the solution of a given system of equations is x=4 and y=7.

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The equation of logarithm are solved and

a) A = 2 + 3 log x + 4 log b

b) B = ( 36 + x + y ) ( log 6 )

c) C = ( 1/2 )x log 5

d) D = ln ( x⁴ / y² )

Given data ,

Let the logarithmic equation be represented as A

Now , the value of A is

a)

A = 2 log 10 + 3 log x + 4 log b

The base of the logarithm is 10 , so

A = 2 + 3 log x + 4 log b

b)

B = log 6³⁶ + log 6ˣ - log 6^ ( y )

From the properties of logarithm , we get

log A + log B = log AB

log A − log B = log A/B

log Aⁿ = n log A

B = 36 log 6 + x log 6 + y log 6

On taking the common term , we get

B = ( 36 + x + y ) ( log 6 )

c)

C = ( 1/2 )log 5ˣ

From the properties of logarithm , we get

C = ( 1/2 )x log 5

d)

D = 4 ln x - 2 ln y

From the properties of logarithm , we get

D = ln x⁴ - ln y²

On further simplification , we get

D = ln ( x⁴ / y² )

Hence , the logarithmic equations are solved

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Answer:

The answer to your question is 3:2.

Answer:

B) 3:1

.............

Answer:

Step-by-step explanation:

We need all three sides to be congruent to use the SSS theorem of congruency. Either the sides are marked on the picture congruent or are congruent by reflexive property -a side is congruent with itself. Other wise the sides are not congruent.

1.

a)Yes (AB≅CD, BC≅DA, CA≅CA)

b) ΔABC≅ΔCDA

2.

a)No ( AC≅BC, CD≅CD, AD  not ≅ BD)

b) ΔACD is not ≅ ΔBCD

3.

a)NO (DM≅CM, AD not ≅BC, AM not ≅BM)

b)ΔADM is not≅ΔBCM

4.

a) Yes (AC≅EG, CR≅GO, RA≅OE )

b) ΔACR≅ΔEGO

5.

a) No (QR≅SD, QS≅QS, RS is not≅ DQ)

b)ΔQRS is not≅Δ SDQ

Answer:

constant is - 19

Step-by-step explanation:

the constant is the term in an expression with no variable attached to it.

12r + \(\frac{r}{2}\) - 19

the only term without the variable r attached to it is - 19

then the constant term is - 19

Answer:

Commutative

Step-by-step explanation:

2 + 4 = 4 + 2 as an example

Step-by-step explanation:

a. d = m/v

m = d × v

b. m = d × v

= 5.01g/cm × 1.2cm

= 6.012g

hopefully this makes sense

:)

The mass of pyrite sample in grams will be -  6.012 grams

We have a marble whose volume is 1.2 cubic centimeter and density is 5.01 g/cm. A relation - density d of a substance is given by the formula

d = m/v is also provided.

We have to determine its mass.

The solid state of matter has the highest density because the constituent particles are fixed and not allowed to move inside the solid. Moreover, they are bonded very close to each other.

According to the question -

Density - 5.01g/cm

Volume - 1.2cm.

Using the formula mentioned above, we get -

\($\rho = \frac{M}{V}\)

Rearranging the formula, we get -

M = ρV

M = 5.01 x 1.2 = 6.012 grams

Hence, the mass of pyrite sample in grams will be -  6.012 grams

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After answering the presented questiοn, we can cοnclude that The fοrmula tο find the area and perimeter οf a twο-dimensiοnal shape depends οn the type οf shape

An equatiοn in mathematics is a statement that states the equality οf twο expressiοns. An equatiοn is made up οf twο sides that are separated by an algebraic equatiοn (=). Fοr example, the argument "2x + 3 = 9" asserts that the phrase "2x Plus 3" equals the value "9." The purpοse οf equatiοn sοlving is tο determine the value οr values οf the variable(s) that will allοw the equatiοn tο be true.

The fοrmula tο find the area and perimeter οf a twο-dimensiοnal shape depends οn the type οf shape. Here are sοme cοmmοn fοrmulas:

1. Rectangle:

• Area: A = length x width

• Perimeter: P = 2(length + width)

2. Square:

• Area: A = side x side (οr A = side²)

• Perimeter: P = 4 x side

3. Circle:

• Area: A = π x radius²

• Circumference (perimeter): C = 2π x radius (οr C = π x diameter)

4. Triangle:

• Area: A = (base x height) / 2

• Perimeter: P = side1 + side2 + side3

5. Trapezοid:

• Area: A = ((base1 + base2) x height) / 2

• Perimeter: P = side1 + side2 + side3 + side4

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Answer: 25.949%

Step-by-step explanation:

A pilot is flying over the ocean. She determines the angles of depression to the two ships are 49 and 68 as shown. The plane is 4 miles from A. The ships are 3.8 miles apart from each other.

In ΔABC,

There are two ships at point A and B in the ocean(a flat water level).

A pilot is flying at point C over the ocean.

Angle of depression from C to A = 49°

Angle of depression from C to B = 68°

Since, DE || AB

Hence because of alternate interior angles are equal.

Therefore, ∠DCA = ∠BAC = 49°, and

∠ECB = ∠ABC = 68°

Now in ΔABC, sum of three inside angles in a triangle is 180°.

Hence, ∠A + ∠B + ∠C = 180°

49° + 68° + ∠C = 180°

∠C = 180° - 49° - 68° = 63°

Now, in ΔABC ∠A = 49°, ∠B = 68°, ∠C = 63°

Distance of A to C = AC = b = 4

By using sine rule, \(\frac{a}{SinA} = \frac{b}{SinB} =\frac{c}{SinC}\)

\(\frac{a}{Sin49\textdegree} = \frac{4}{Sin68\textdegree} =\frac{c}{Sin63\textdegree}\)

⇒ \(\frac{4}{Sin68\textdegree} =\frac{c}{Sin63\textdegree}\)

⇒ \(\frac{4}{0.9271} =\frac{c}{0.891}\)

⇒ c x 0.9271 = 0.891 x 4

⇒ c x 0.9271 = 3.564

⇒ c = \(\frac{3.564}{0.9271}\)

⇒ c = 3.8442

Rounding off to the nearest tenth of a mile,

c = 3.8

Therefore, distance between two ships = AB = c = 3.8 miles

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Probabilities are used to determine the chances of events

The probability that a selected rider reads a newspaper in the morning is 0.71

The proportion of the riders is given as:

\(p = 142\) --- riders that read a newspaper in the morning

\(q = 58\) --- riders that do not read a newspaper in the morning

The probability that a selected rider reads a newspaper in the morning is:

\(Pr = \frac{p}{p + q}\)

This gives

\(Pr = \frac{142}{142 + 58}\)

\(Pr = \frac{142}{200}\)

Divide

\(Pr = 0.71\)

Hence, the probability that a selected rider reads a newspaper in the morning is 0.71

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Answer:

the gcf is 27

27(x-3)

Step-by-step explanation:

Answer:

700

Step-by-step explanation:

175 divided by 3 is 58.3 and then you multiply 58.3 by 12 and get 700