Match the function with its graph.

Answer:

C. 4

Step-by-step explanation:

(3x/5) - 0.5 = 1.9

+ 0.5 +0.5

3x/5 = 2.4

*5 *5

3x = 12

— —

3 3

X = 4

Answer is C

I hope I helped!

Let me know if you need anything else!

~Zoe

Answer:

⅖  pizza

Step-by-step explanation:

Divide each pizza into five slices.

Then there will be 10 slices, and each person will get two slices.

Two slices = ⅖ pizza

Each person will receive ⅖ pizza.

Each of the five people will receive 2/5 of a pizza when two pizzas are shared equally amongst them.

The student asked how much pizza each person will receive if five people are sharing two pizzas equally. To answer this, we divide the total number of pizzas by the number of people. Since there are 2 pizzas and each pizza is usually considered to be 1 whole, when split among 5 people, each person will get 2/5 of a pizza.

Answer:

D. -36x+9

Step-by-step explanation:

−12(3x−

3/4)

=(−12)(3x+  −3/

4)

=(−12)(3x)+(−12)(

−3/4)

=−36x+9

Answer:

D. -36x + 9

Step-by-step explanation:

[tex]-12[3x - \frac{3}{4}] \\ -36x + 9[/tex]

I am joyous to assist you anytime.

Answer:

x=-5

Step-by-step explanation:

Set up the rational expression with the same denominator over the entire equation.

2x-2/6=3x+3/6

Since the expression on each side of the equation has the same denominator, the numerators must be equal.

2x−2=3x+3

Move all terms containing x to the left side of the equation.

−x−2=3

Move all terms not containing x to the right side of the equation.

-x=5

Multiply each term in x=−5 by −1

x=−5

AO is a line segment containing the radii of both circles, which are AK and OE, so AO = AK + OE = 9.

Extend AO to a point P on the line KE. Then we get two similar triangles APK and OPE. Let [tex]x[/tex] be the length of KE, [tex]y[/tex] the length of EP, and [tex]z[/tex] the length of OP.

By similarity, we have

[tex]\dfrac{OE}{AK}=\dfrac{EP}{KP}=\dfrac{OP}{AP}\iff\dfrac45=\dfrac y{y+x}=\dfrac z{z+9}[/tex]

OPE is a right triangle, so

[tex]OP^2=OE^2+EP^2\implies z=\sqrt{16+y^2}[/tex]

Now,

[tex]\dfrac45=\dfrac y{y+x}\implies 4(y+x)=5y\implies 4x=y[/tex]

and we also have

[tex]z=\sqrt{16+(4x)^2}=\sqrt{16+16x^2}=4\sqrt{1+x^2}[/tex]

Substituting this into the expression containing [tex]z[/tex] gives us an equation that we can solve for [tex]x[/tex]:

[tex]\dfrac45=\dfrac z{z+9}=\dfrac{4\sqrt{1+x^2}}{4\sqrt{1+x^2}+9}[/tex]

[tex]16\sqrt{1+x^2}+36=20\sqrt{1+x^2}[/tex]

[tex]9=\sqrt{1+x^2}[/tex]

[tex]\implies KE=x=\sqrt{80}=3\sqrt{10}[/tex]

Answer is ( 2, -2 ) so x=2 and y=-2

Answer:

(2,-2)

Step-by-step explanation:

This pair of linear equations may be solved simultaneously by using the elimination method. This will involve ensuring that the coefficient of one of the unknown variables is the same in both equations. It may be solved by substitution in that one of the variable is made the subject of the equation and the result is substituted into the second equation.

Given that Y = 7x – 16, y = 2(2x – 5)

Equating both equations

7x - 16 = 4x - 10

7x -4x = 16 - 10

3x = 6

x = 2

Substituting the value of x into Y = 7x – 16

y = 7(2) - 16

y = 14 - 16

y = -2

hence

(x,y) = (2,-2)

It’s a 50/50 chance since there is only 2 sides. (1?2)

Answer:

Step-by-step explanation:

[tex](rs)^{-1}(3s)^5(3r)^4\qquad\text{use}\ (ab)^n=a^nb^n\\\\r^{-1}s^{-1}(3^5)s^5(3^4)r^4=(3^5)(3^4)(r^{-1}r^4)(s^{-1}s^5)\qquad\text{use}\ a^na^m=a^{n+m}\\\\=3^{5+4}r^{-1+4}s^{-1+5}=3^9r^3s^4=19,683r^3s^4[/tex]

Answer:

4

Step-by-step explanation:

1/4 is a quarter at up 1/4 4 time and it gives you a whole, 1/4+1/4+1/4+1/4=1

Answer: The wavelength of red light is 2 times longer than the wavelength of violet light.

Step-by-step explanation:

Let be "x" the number of times the wavelength of red ligth is longer than the wavelength of violet light.

Knowing that the wavelength (measured in meters) of red light is about [tex]8*10^{-7}[/tex] and the wavelength (measured in meters) of violet light is [tex]4*10^{-7}[/tex], you have to:

Divide the wavelength of red light (measured in meters) by the wavelength of violet light (measured in meters).

Then:

[tex]x=\frac{wavelength\ of\ red\ light}{wavelength\ of\ violet\ light}\\\\x=\frac{8*10^{-7}}{4*10^{-7}}[/tex]

Remember the Quotiend of powers property:

[tex]\frac{b^m}{b^n}=b^{(m-n)}[/tex]

Then:

[tex]x=2[/tex]

The wavelength of red light is 2 times longer than the wavelength of violet light.

Answer:                        

2 times as long

Step-by-step explanation:

i did this on i-ready and i got it wright ur welcome plis give me brainlyest

*spelled that wrong*

Answer:

option (c)

4√34

Step-by-step explanation:

Given in the question is a right angle triangle

height of triangle = 20 cm

base of triangle = 12 cm

To find the length of missing side of the triangle we will use pythagorus theorem

hypotenuse² = 20² + 12²

hypotenuse² = 400 + 144

hypotenuse²  = 544

take square root on both sides

√hypotenuse² = √544

hypotenuse = 4√34 cm

Hence,  the length of missing side of the triangle is4√34 cm

A)

The lawyer in 20 years earns 3,620,000

The mathematician in 40 years earns 3,160,000

Subtract to find the difference:

3,620,000 - 3,160,000 = 460,000

The answer is the first one.

B)

Interest would be a credit of 27.23, balance = 700 + 27.23 = 723.23

Transfer would be a debit of 176.02 balance = 723.23 - 176.02 = 547.21

Deposit would be a credit of 157.00 balance = 547.21 + 157.00 = 704.21

A check would be a debit of 47.13 balance = 704.21 - 47.13 = 657.08

The correct answer is D.

$55 per hour x 4 hours = $220

$220 + $50 service charge = $270 total

Hope this help.

Answer:

D. $270

Step-by-step explanation:

$55 per hour for 4 hours = $55 * 4 = $220

$50 service fee

total = hourly amount + service fee

total = $220 + $50

total = $270

To determine if the number is a solution to the equation, we have to substitute n with the number given.

56= 8 + 4(6)

56= 8 + 24

56= 32

So no, the number is not a solution to the equation.

The number is a solution of a linear equation if both sides of the equation namely RHS and LHS are equivalent.

The solution of a linear equation is defined as the points, in which the lines represent the intersection of two linear equations. In other words, the solution set of the system of linear equations is the set of all possible values to the variables that satisfies the given linear equation.

Given here, the equation as  56 = 8 + 4n  and to verify for n=6

Here, LHS =56 and RHS when n=6 is 8+4×6=32

Thus LHS≠RHS

Hence n=6 is not a solution to the equation.

Learn more about the solution of a linear equation here:

https://brainly.com/question/545403

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Answer:

x = 70

Step-by-step explanation:

70 % of x = 52.50

75 out of 100  X = £ 52.50

Answer:

The Original Price of the Winter Jacket is $70

Step-by-step explanation:

The Original Price is calculated by using the given information on a Simple Rule of Three formula, which looks like the following.

X --------> 100%

$52.50 --------> 75%

The Rule of Three simply asks if $52.50 is 75% then What is 100%? We solve the Rule of Three by multiplying $52.50 by 100 and then dividing the result by 75.

[tex]X = \frac{52.50*100}{75}[/tex]

[tex]X = 70[/tex]

According to the formula the Original Price of the Winter Jacket was $70

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

[tex] \frac{5 \: = \: number \: of \: favorable \: outcomes}{6 \: = \: number \: of \: possible \: outcomes} [/tex]

Since there are 6 possible outcomes, that will become the denominator. In addition, since we are trying to find the probability of rolling 5 numbers out of that 6, 5 would be the numerator.

So the answer is,

[tex] \frac{5}{6} [/tex]

The probability that the number is 2,6,3,4, or 1 is 5/6.

Probability is the ratio that shows the likelihood that an event will occur from a given set of events.

A cube has six sides. Each side has a unique number.

We have to find the probability of getting 2,6,3,4, or 1.

The total number of favorable events = 5

The sample space has 6 events.

Therefore, the probability is given by 5/6.

Therefore, we have found the probability that the number is 2,6,3,4, or 1 to be 5/6.

Learn more about probability here: https://brainly.com/question/24756209

#SPJ2

Answer:

Part 1) The length of the new rectangle is [tex]87.5\ ft[/tex]

Part 2) The area of the new rectangle is [tex]4,375\ ft^{2}[/tex]

Step-by-step explanation:

we know that

If two rectangles are similar, then the ratio of its corresponding sides is proportional

step 1

Find the length of the new rectangle

Let

L-----> the length of the new rectangle

[tex]\frac{50}{20}=\frac{L}{35}\\ \\ L=50*35/20\\ \\L=87.5\ ft[/tex]

step 2

Find the area of the new rectangle

we know that

The area of the rectangle is

[tex]A=LW[/tex]

we have

[tex]L=87.5\ ft[/tex]

[tex]W=50\ ft[/tex]

substitute

[tex]A=(87.5)(50)=4,375\ ft^{2}[/tex]

The expression (8.320)(1)/(3) simplifies to approximately 2.7733.

The expression (8.320)(1)/(3) can be simplified as:

Therefore, the answer is 2.7733, which is not among the provided options.

The answer is C.) i think

Answer:

e) 15 N object on Mars

d) 15 N object on earth

b) 2.75 lbm object on the moon

a) 1 kg object on earth

c) 1.25 lbf object on the moon

Step-by-step explanation:

Mass is the amount of mass that a certain object has, it differs from its weight because the weight depends of the gravity or the force that is been applied to the object towards the planet.

To obtain the mass a 15N object on mars you have to divide the 15N by the gravity of mars this would be like this:

Mass:[tex]\frac{15}{3.7}[/tex]= 4.05kg

To obtain the mass of a 15 N objecto on the earth you divide 15N by 9.8 [tex]\frac{m}{s^{2} }[/tex] which is the gravity on earth.

Mass:[tex]\frac{15}{9.8}[/tex]= 1.53 kg

To calculate the mass of a 2.75 lbm object on the moon you just have to convert it to kg.

Mass in kg: 2.75*.453= 1.24  kg

Then the 1 kg mass object on the earth.

And last the 1.25 lbf object on the moon you just convert it to kilograms.

Mass in kg: 1.25*.138=.172kg

Answer:

Step-by-step explanation:

the anwser is D hope this helps =D

Answer:

Option C.

Step-by-step explanation:

If A and B are independent events then theorem says

P(A∩B) = P(A) × P(B)

Since value of P(A) = 0.5 and P(B)= 0.6 has been given in the question.

Then P(A∩B) = 0.5×0.6

                      = 0.3

Therefore, option C. is the answer.

Answer:

150 minutes

Step-by-step explanation:

Since your solving for minutes you need to change the 2.5 hours into minutes. There is 60 minutes in 1 hour. you take 60 and multiply it by 2.5 because you need to find the total minutes. When you multiply those teo you get 150 minutes. Please give me the brainliest answer.

:D Hoped this helped!!! Have a good day!! <3

Answer:

150 minutes

Step-by-step explanation:

1 hours = 60 minutes

We need to use the conversion factor with minutes on top

2.5 hours * 60 minutes

                   -------------

                    1 hour

Canceling hours

2.5 *60 minutes

150 minutes

Answer:

1. The area of the triangle PQR is 40 cm^2.

2. 321.4 cubic cm

Step-by-step explanation:

1. We are given two triangles, ABC and PQR, which are similar to each other.

Given that area of the triangle ABC is [tex]40cm^2[/tex], we are to find the area of the triangle PQR.

For that, we can use the ratio method:

[tex] \frac { P Q R } { 4 0 } = \frac { 6 } { 4 } [/tex]

Area of triangle PQR = [tex] \frac { 6 \times 40 } { 4 } = 60cm^2 [/tex]

2. We are given the diameter of a spherical model to be 8.5 cm so its radius will be 4.25 cm.

Finding the volume of the spherical model as we know that the volume of a sphere is given by:

[tex]\frac{4}{3} \pi r^3[/tex]

Substituting the given value of radius in the formula to get:

Volume of spherical model = [tex]\frac{4}{3} \times 3.14 \times (4.25)^3[/tex] = 321.4 cubic cm

Answer:

Diameter 16, radius 7, circumference 37.68, diameter 8

Step-by-step explanation:

Largest area will be in a circle with the largest radius. So let's find all radii.

d = 8, so r = 4;

r = 7;

circumference = 2pi*r = 37. 68, so r = 6

diameter 18, so r = 8

Answer:

[tex]35x - \frac{9x^2}{2} + C[/tex]

Step-by-step explanation:

The antiderivative of the function is the same as the integral. To find the integral or antiderivative, reverse the process of differentiation method. Currently the function has degree 1. Through integration we increase the degree of each term by 1 and divide by the degree.

Thus 35 - 9x becomes [tex]35x - \frac{9x^2}{2} + C[/tex]. We add a constant C for any possible constant that was eliminated during differentiation.

parallel slopes always has the same exact slope.

The equation of required line is [tex]y=-\frac{3}{4} x-\frac{9}{4}[/tex]

Equation of line which is given,

                   [tex]-3x-4y=9\\\\y=\frac{-3x+9}{4} =-\frac{3}{4}x+\frac{9}{4}[/tex]

Compare above equation with [tex]y=mx+c[/tex]

Where m is slope of line, [tex]m=-\frac{3}{4}[/tex]

The slope of parallel lines are always equal.

So that, slope of required line is also [tex]-\frac{3}{4}[/tex].

                      [tex]y=-\frac{3}{4} x+c[/tex]

the line that passes through the point [tex]P(1,-3)[/tex]

Substitute given point in required equation of line.

               [tex]-3=-\frac{3}{4} *1+c\\\\c=-3+\frac{3}{4} \\\\c=-\frac{9}{4}[/tex]

The equation of required line is [tex]y=-\frac{3}{4} x-\frac{9}{4}[/tex]

Learn more about the slope-intercept form of line here:

https://brainly.com/question/1884491                      

Answer:

The graph is attached below

Step-by-step explanation:

The function has three asymptotes. Before we can graph the function, we can find them.

Vertical asymptotes in the values that make the denominator zero.

The denominator becomes zero in:

[tex]x = -2\\x = 1\\[/tex]

Then the vertical asymptotes are the lines

[tex]x = -2\\x = 1\\[/tex]

The horizontal asymptote is found using limits

[tex]\lim_{x\to \infty}\frac{(2x+3)(x-6)}{(x+2)(x-1)}[/tex]

Then:

[tex]\lim_{x\to \infty}\frac{(2x^2-12x +3x -18)}{x^2-x+2x-2}[/tex]

We divide the numerator and the denominator between the term of greatest exponent, which in this case is [tex]x ^ 2[/tex]

The terms of least exponent tend to 0

[tex]\lim_{x\to \infty}\frac{(2\frac{x^2}{x^2}-0 +0 -0)}{\frac{x^2}{x^2}-0+0-0}\\\\\lim_{x\to \infty}\frac{2}{1} = 2\\\\[/tex]

The function has a horizontal asymptote on y = 2 and has no oblique asymptote

The graph is attached below

Since PQRS is isosceles, the horizontal distance between PQ and RS is the same, i.e. it's [tex]a[tex].

Moreover, point C is horizontally aligned with point Q, which implies that they share the y coordinate.

So, point R has coordinates [tex](c-a,b)[/tex]

Answer:

option(b)

9/13

Step-by-step explanation:

Given the expression

[tex]\frac{2n+7n}{13n}[/tex]

=[tex]\frac{9n}{13n}[/tex]

n will cancel out on both sides

so,

9/13 will remain

As 9/13 is a constant so any value of n when approaches to a constant will not affect it. Hence limit = 9/13

The limit of a constant function is equal to the constant.

Answer:

B

Step-by-step explanation:

Answer:

All statements are true

Step-by-step explanation:

1. The statement [tex]S_{500}>S_{499}[/tex] is true, because [tex]S_{499}[/tex] is the sum of first 499 terms,  [tex]S_{500}[/tex] is the sum of first 500 terms,  and all these terms are positive, then the sum of smaller number of terms is less than the sum of larger number of terms.

2. The statement [tex]S_{500}>a_{500}[/tex] is true, because [tex]S_{500}[/tex] is the sum of first 500 terms,  [tex]a_{500}[/tex] is 500th term and the sum of 500 terms is greater than the 500th term.

3. The statement [tex]S_1=a_1[/tex] is true, because [tex]S_1[/tex] is the sum of first 1 term that is exactly  [tex]a_1.[/tex]

All statements are true.

Answer:

N is a population parameter; the computation using an estimate of N is a statistic.

Step-by-step explanation:

A parameter is a measure of a population.  The number of warplanes fielded total is N; this makes it the population.  Thus N is a parameter.

A statistics is a measure of a sample.  The number computed using an estimate of N would be based on a sample, since it is an estimate of N; this makes it a statistic.