Which graph type would be best for showing the height of a fifth-grade student who is taller than 25% of the other students in his class?

Answer:

I think it's c.

Step-by-step explanation:

A graph usually stands as a representation for functions.

Answer:

Negative Correlation

Step-by-step explanation:

As you can see in the image I added, a negative correlation happens when the variables move in opposite directions, in other words, one variable increases as the other decreases. We can see this correlation represented by a value of -1 slope.

I hope you find this information useful and interesting! Good luck!

Answer: That's negative.

Step-by-step explanation: hope this helps.

Question: Explain how you would use the result of finding the ground speed to find the course of the airplane.

Answer: 181.2

Explanation:  vertical speed of 20.78 knots  

new course is (-148 , 20.78) = inverse tan ( 20.78 / -148) = 172° or 8° N of East at 149.45 knots

New speed (- 148)² + ( 20.28)² = 149.45 knots round and you get 181.2

question answered by

(jacemorris04)

The ground speed of the airplane is 181.18 knots (approx).

The formula of ground speed of a airplane is given below,

[tex]v_{g} =\sqrt{}[/tex][tex](v_{a} ^{2}+v_{w} ^{2}-2v_{a} v_{w}cos\alpha)[/tex]

where, [tex]v_{g}[/tex] = Ground speed of airplane

[tex]v_{a}[/tex] = Speed of the airplane relative to the air

[tex]v_{w}[/tex] = Wind speed

[tex]\alpha[/tex] =  Internal angle

Given, [tex]v_{a}[/tex] = 160 knots, [tex]v_{w}[/tex] = 24 knots

Here, the angles increase clockwise and east is 90° heading.

The airplane is flying a heading of 90° at 160 knots speed & wind is blowing from 240° at 24 knots speed.

So, the internal angle[tex](\alpha)[/tex] = 240°-90° = 150°

∴ Ground speed, [tex]v_{g} =\sqrt{}[/tex][tex](v_{a} ^{2}+v_{w} ^{2}-2v_{a} v_{w}cos\alpha)[/tex]

⇒ [tex]v_{g}[/tex] [tex]=\sqrt{}[/tex][tex](160^{2}+24^{2}-2*160*24*cos(150))[/tex]

⇒ [tex]v_{g}[/tex] = 181.18 knots (approx)

Hence the ground speed of airplane is 181,18 knots (approx).

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Answer:

The correct options are A: x+8 and C: x+2.

Step-by-step explanation:

We are given the following expression and we are to factorize it:

[tex]x^2+10x+16[/tex]

We are to find such factors that when multiplied they give a result of 16 (1 x 16 = 16) and when added they give a result of 10.

The two such factors of 16 are positive 2 and positive 8.

Factorizing the given expression to get:

[tex]x^2+10+16\\\\x^2+2x+8x+16\\\\x(x+2)+8(x+2)\\\\(x+2)(x+8)[/tex]

Therefore, the two binomial factors of the given expression [tex]x^2+10x+16[/tex] are (x+8) and (x+2).

Answer: x+6 x+2

tell me if I’m wrong because I put x+8 and x+2 and got it wrong it told me it was x+6 and x+2

The speed that describes how fast the car was traveling when the driver applied the brakes is 49 mph.

What was the speed?

The formula that is often used by police officers to determine the speed from a skid mark is this s = √21d.

So, in this case, the length or distance of the skid mark is 115 feet. We can substitute this value in the formula to get;

Speed of car = √21(115)

Speed of car = √2,415

Speed of car = 49.1426 approximately 49 mph.

So, the speed that describes how fast the car was traveling when the driver applied the brakes is 49 mph.

Complete Question:

A police officer investigating an accident finds a skid mark 115 feet long. Approximately how fast was the car traveling when the driver applied the brakes?

Answer:

A)84 – 73 = 11 miles

Step-by-step explanation:

On Tuesday she drove 84 miles  (rounding to the nearest mile)

On Monday she drove 73 miles (rounding to the nearest mile)

Tuesday's mileage - Mondays miles = difference in miles

84-73 = 11 miles

Answer: A. 84 – 73 = 11 mi

Answer:$80.00

Step-by-step explanation:

APEX

Answer:

4 adult dinosaurs and 12 baby dinosaurs.

Step-by-step explanation:

Let the number of adult dinosaurs be x.

Number of baby dinosaurs = 3x

Number of paintings made by each baby dinosaur = 15

Number of paintings made by each adult dinosaur = 7

Total number of paintings made by 3x baby dinosaurs = Number of baby dinosaurs * Number of paintings made by each baby dinosaur

= 3x * 15

= 45x

Total number of paintings made by x adult dinosaurs = Number of adult dinosaurs * Number of paintings made by each adult dinosaur

= x * 7

= 7x

Total number of paintings made by both baby and adult dinosaurs = 45x + 7x

= 52 x

Again the problem says that the total number of paintings made  = 208

So, 52x = 208

Dividing both sides by 52

[tex]\frac{52x}{52}[/tex]  = [tex]\frac{208}{52}[/tex]

Cancelling out the 52's from the top and bottom on the left

x = 4

So, number of adult dinosaurs = 4

Number of baby dinosaurs = 3x = 3*4 = 12

A system of equations based on the information given can be used to find the number of baby and adult dinosaurs. The two equations are 1515b + 77a = 208208 and b = 33a. Solve these to find the number of each type of dinosaur.

This problem can be solved by setting up a system of equations. Let's denote the number of baby dinosaurs as 'b' and the number of adult dinosaurs as 'a'. Then, from the statement, we know two things:

By substituting the second equation into the first, we can determine the number of adult dinosaurs, and subsequently, the number of baby dinosaurs. Solving this would give us the solution needed.

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The inverse function of f(x) = (x - 5)² for x greater or equal to 5 is g(x) = sqrt(x) + 5.

The function f(x) = (x - 5)² for x greater or equal to 5 has a specific inverse function denoted as g(x). To find the inverse of a function, one typical solution is to replace f(x) with y, swap x and y, and solve for y. Here, it means writing y = (x - 5)², changing it to x = (y - 5)², and solving for y.

The solved y function is g(x) = √(x) + 5 (where sqrt indicates a square root), ensuring the range for x is greater than or equal to 5 to adhere to the original function constraints.

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Answer:

$30

Step-by-step explanation:

Mark up is the profit on cost. if the pair of jeans was $45 after a 50% markup

Let the price of the jeans before the markup be p then;

p + 50%p = 45

1.5p =45

p = 45/1.5

p = 30

The price before mark up was $30, while the mark up or profit  is $15. This shows 50% of the price before mark up.

Answer:

Jayda can cut 14 slices of dough that are 3/4 inches thick.  

Step-by-step explanation:

In order to solve this problem, we need to take the total amount of dough at 10 1/2 inches and divide it by the thickness of one slide, 3/4 inches, to find the number of slices that can be made from the total amount.  You can solve this two different ways.  You can either convert your fractions to decimals so that 10 1/2 becomes 10.5 and 3/4 become 0.75 and then divide 10.5/0.75 to get 14.  However, you can also keep them as fractions converting 10 1/2 to 21/2 and dividing by 3/4.  When we divide with fractions with keep-change-flip, or keep the first fraction-change the sign to multiplication-flip the second fraction.  So, we multiply 21/2 x 4/3 and get 84/6, or 14.  

Look at the picture.

[tex]\csc\theta=\dfrac{1}{\sin\theta}=\dfrac{1}{\frac{y}{r}}=\dfrac{r}{y}[/tex]

We have the right triangle x, y and r. From the Pythagorean theorem we have:

[tex]r^2=x^2+y^2\to r=\sqrt{x^2+y^2}[/tex]

We have the point

[tex]\left(-\dfrac{2}{3};\ \dfrac{\sqrt5}{3}\right)[/tex]

Substitute:

[tex]r=\sqrt{\left(-\dfrac{2}{3}\right)^2+\left(\dfrac{\sqrt5}{3}\right)^2}\\\\r=\sqrt{\dfrac{4}{9}+\dfrac{5}{9}}\\\\r=\sqrt{\dfrac{9}{9}}\\\\r=1[/tex]

[tex]\csc\theta=\dfrac{1}{\frac{\sqrt5}{3}}=\dfrac{3}{\sqrt5}=\dfrac{3\cdot\sqrt5}{\sqrt5\cdot\sqrt5}=\boxed{\dfrac{3\sqrt5}{5}}[/tex]

The cosine of the angle is -2/3, the sine is √5/3, and the cosecant, being the reciprocal of the sine, is √5/5 after rationalization.

The point (-2/3,√5/3) on a unit circle represents the cosine and sine of a specific angle. Here, the x-coordinate is the cosine of the angle, and the y-coordinate is the sine of the angle.

Therefore, the cosine of the angle is -2/3, and the sine is √5/3.

To find the cosecant of the angle, we take the reciprocal of the sine, which gives us 3/√5 or √5/5 after rationalizing the denominator.

Answer:

Taylor's new balance is  $ 185.57  .

Step-by-step explanation:

As given

Taylor has $97.23 and her checking account.

she uses debit card to spend $29 .74 .

Than

Balance in the account after uses debit card = $97.23 - $29.74

                                                                          = $ 67.49

As given

Then deposits $118.08 into her accounts.

Total balance of the account = $118.08 + $67.49

                                                 = $ 185.57

Therefore Taylor's new balance is  $ 185.57  .

Answer:

$185.57

Step-by-step explanation:

Answer:

Option (a)

Step-by-step explanation:

The given equation is  

y = 4 (2ˣ)

To find y-intercept, substitute x=0 in the equation.

y = 4 (2⁰) = 4 (1) =4

Hence y-intercept is 4.

Since y-intercept is 4, the equation should pass through the point (0,4).

The only graph passing through the point (0,4) is the graph in option (a).

Hence the answer is option (a).

Answer:

a

Step-by-step explanation:

Answer: After 8 year from the first year Eric will see that investment R's value exceeded investment Q's value.      

Step-by-step explanation:

Let after x year from the first year Eric sees that investment R's value exceeded investment Q's value.

Investment Q has a value of $ 500 at the end of the first year and increases by $ 45 per year.

Thus, after x year from the first year the total amount of  Investment Q,

500 + 45 x

Similarly, after  x year from the first year the total amount of  Investment R,

⇒ [tex]400(1+\frac{10}{100} )^x = 400(1.1)^x[/tex]

Thus,  [tex]500 + 45 x = 400(1.1)^x[/tex]

By plotting the equations in the graph,

We get,  x = -6.178 or 8.069

But year can not be negative,

Therefore, x = 8.069

Thus, Approx after 8 year from the first year Eric will see that investment R's value exceeded investment Q's value.

Answer: it’s 10 I’m 100% sure

Answer:

97.8%

Step-by-step explanation:

110 is 2 standard deviations above the mean (6+6 = 12)

12+98 = 110

Looking at the standard deviation curve

P(x< or = to 110)  = 1 - P(x>110)

We can find the probability that x>100 by adding  anything above 2 standard deviations above the curve.

P(x>110) = 2.1+.1 = 2.2%

P(x< or = to 110)  = 1 - P(x>110)

                                = 1- 2.2%

                                = 1- .022

                                  = .978

                               = 97.8 %

Answer:

0.975

Step-by-step explanation:

A P E X

To solve a system of equations by elimination, make the coefficients of one variable equal. Subtract one equation from the other to solve for one variable, then substitute this solution into one of the original equations to solve for the other variable. In this case, the solution to the given system of equations is x = 3, y = 6.

In mathematics, specifically in algebra, the method of elimination is used to solve a system of simultaneous equations. Your equations are:

To solve this system by elimination, we need to make the coefficients of y in both equations equal by multiplying if necessary. We can obtain this by multiplying the first equation by 2:

4x - 2y = 0
3x - 2y = -3

Next, we subtract one equation from the other to eliminate y:

4x - 3x = 0 - (-3) => x = 3

To find y, substitute x = 3 into the first equation:

2*3 - y = 0 => y = 2*3 = 6

So, the solution to the system of equations is x = 3, y = 6.

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Step-by-step explanation:

We are asked to write a system of equations using our given information.

Let x be number of small dogs and y be number of large dogs.

We have been given that paws at play made a total of $1,234 grooming 22 dogs, which means that number of small dogs and large dogs is 22. We can represent this information as:

[tex]x+y=22...(1)[/tex]  

We have been given that paws at play charges $43 to groom each small dog and $75 for each large dog. So the total grooming charges for grooming x small and y large dogs will be 43x+75y, that is equal to total charges for grooming $1234.

We can represent this information as:  

[tex]43x+75y=1234...(2)[/tex]

Therefore, our desired system of equations is:

[tex]x+y=22...(1)[/tex]

[tex]43x+75y=1234...(2)[/tex]    

[tex]a_1=-2\\\\a_n=3\cdot a_{n-1}\\-----------------------------------\\a_1=-2\\\\a_2=3\cdot a_{2-1}=3\cdot a_1\to a_2=3(-2)=-6\\\\a_3=3\cdot a_{3-1}=3\cdot a_2\to a_3=3(-6)=-18\\\\a_4=3\cdot a_{4-1}=3\cdot a_3\to a_4=3(-18)=-54\\\\a_5=3\cdot a_{5-1}=3\cdot a_4\to a_5=3(-54)=-162\\\\a_6=3\cdot a_{6-1}=3\cdot a_5\to a_6=3(-162)=-486\\\\Answer:\ \boxed{-2,\ -6,\ -18,\ -54,\ -162,\ -486}[/tex]

Answer:

(<1 and <3) (<2 and <4) (<3 and <6)

Step-by-step explanation:

1 and 3 are corresponding equal angles

If one and three are equal, so are 2 and 4 since they are supplementary to equal angles.

6 and 7 are supplementary but not equal.

3 and 6 are equal angles because they are alternate interior angles.

Answer:

Number of chores done by Janie are 5.

Step-by-step explanation:

Janie's allowance per week is $3.

For each chore she earns $2.

Now we assume that number of chores in a week she does = c

Then total earning from chore = $2 × c

So for the purchase of CD total earning this week inequality will be

⇒ 3 + 2c [tex]\geq[/tex]13

⇒ 2c [tex]\geq[/tex] 13-3

⇒ c [tex]\geq[/tex] 10÷2

⇒ c [tex]\geq[/tex] 5

Answer: 1%

Explanation:

Add up the frequencies in the bottom row: 350+200+245+125+66+10+4 = 1000

There are 1000 families total. Of this total, 10+4 = 14 families have more than six people. I added up the frequency counts for "7 people" and "8 people" to get 14.

Divide 14 over 1000 and we get 14/1000 = 0.014 = 1.4% which rounds to 1%

The relationship between the year and the number of cinema sites can be expressed with the linear equation y = -300x + 608300, where y is the number of cinema sites and x is the year. This equation was derived by calculating the slope and y-intercept using the points provided.

The subject of the question falls into the domain of mathematics, specifically algebra. We are given two points on a line where the x-axis is the year and the y-axis represents the number of cinema sites. The two points are (2000, 8300) and (2004, 7100).

First, we need to calculate the slope, m: m = (y2 - y1) / (x2 - x1) = (7100 - 8300) / (2004 - 2000) = -1200 / 4 = -300.

The slope, -300, is the rate of change suggesting the number of cinemas decreases by 300 each year.

The equation of the line, or the linear equation, will be in the form y = mx + b. We now need to find the y-intercept (b) by substituting one of our points into the equation and solving for b.

If we use the point (2000, 8300): 8300 = -300*2000 + b. Solving for b gives b = 8300 + 600000 = 608300.

Therefore, the equation describing the relationship between the year and the number of cinema sites is y = -300x + 608300.

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Answer:

187.69 cm

Step-by-step explanation:

We have that the maximum area allowed for the painting = 3003.04 [tex]cm^{2}[/tex].

Also, the width of Carmen's painting = 16 cm.

It is required to maximum length of Carmen's painting that will be eligible to take part in the competition.

Let the maximum length of the painting = L cm.

Since, Area of a rectangle = length of the rectangle × width of the rectangle.

i.e. 3003.04 = L × 16

i.e. [tex]L=\frac{3003.04}{16}[/tex]

i.e. L = 187.69 cm

Hence, the length of the painting should not exceed 187.69 cm in order to be eligible to participate in the competition.

The correct way to rewrite the expression 5a + 5b + 5c + 5d using the distributive property is option C) 5(a + b + c + d).

The expression given is 5a + 5b + 5c + 5d. This is a sum where each term is multiplied by 5. According to the distributive property, also known as the distributive law of multiplication, a common factor can be factored out of a sum. The distributive property is represented as (A + B)C = AC + BC. In this case, the common factor is 5, and the sum of the variables a, b, c, and d is grouped, giving us 5(a + b + c + d).

So, the correct representation of the expression is 5(a + b + c + d), which corresponds to option C).

Answer:

the answer if am not wrong would be C.n+5

Step-by-step explanation:

If a, b and c are the lengths of the sides of a triangle then

if a ≤ b ≤ c, then a + b > c.

A) 10, 14, 26

10 + 14 = 24 < 26   INCORRECT  :(

B) 10, 14, 16

10 + 14 = 24 > 16  CORRECT :)

C) 10, 10, 14

10 + 10 = 20 > 14  CORRECT :)

D) 8, 10, 14

8 + 10 = 18 > 14   CORRECT :)

E) 5, 10, 14

5 + 10 = 15 > 14   CORRECT :)

F) 2, 10, 14

2 + 10 = 12 < 14   INCORRECT :(

Options B, C, D and E are correct answers.

Given that, a triangle has two sides of lengths 10 and 14.

We need to find what value could the length of the third side be and check all that apply.

Triangle inequality, in Euclidean geometry, theorem that the sum of any two sides of a triangle is greater than or equal to the third side; in symbols, a + b ≥ c. In essence, the theorem states that the shortest distance between two points is a straight line.

Now, from the given options:

A) 10, 14, 26

10 + 14 = 24 < 26 the triangle can not be formed

B) 10, 14, 16

10 + 14 = 24 > 16 the triangle can be formed

C) 10, 10, 14

10 + 10 = 20 > 14 the triangle can be formed

D) 8, 10, 14

8 + 10 = 18 > 14 the triangle can be formed

E) 5, 10, 14

5 + 10 = 15 > 14 the triangle can be formed

F) 2, 10, 14

2 + 10 = 12 < 14 the triangle can not be formed

Therefore, options B, C, D and E are correct answers.

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Answer:

Mr. Robins commision rate is 15%.

Step-by-step explanation:

Formula

[tex]Percentage = \frac{Part\ value\times 100}{Total\ value}[/tex]

As given

Mr robbins earns a commission on each airfare he books.

At the end of the day,he had booked $208.60 worth if airfare and earned $31.29.

Here

Part value = $31.29

Total value = $208.60

Put in the formula

[tex]Percentage = \frac{31.29\times 100}{208.60}[/tex]

[tex]Percentage = \frac{312900}{20860}[/tex]

Percentage = 15%

Therefore the  Mr. Robins commision rate is 15%.

Answer:

(B , D) = (-2,5)

Step-by-step explanation:

The given quadratic expression is

[tex]3x^{2} -x-10[/tex]

compare the given expression with [tex]ax^{2} +bx+c[/tex]

so we have [tex]a = 3 , b = -1 ,c = -10[/tex]

now [tex]ac=3 (-10)=- 30[/tex] and [tex]b= -1[/tex]

we need to find two numbers such that their product is -30 and sum is -1

-6 and 5 are such numbers

so we have

[tex]3x^{2} -6x+5x-10[/tex]

grouping first two terms and last two terms

[tex](3x^{2} -6x)+(5x-10)[/tex]

factor out 3x from first two terms and 5 from last two terms

[tex]3x(x-2) +5(x-2)[/tex]          

[tex](x-2)(3x+5)[/tex]        ( factor out (x-2))

[tex](x+(-2))(3x+5)[/tex]

hence B =-2 and D= 5

(B,D)= (-2,5)