Nikita knows the following information about her food club that has 11 members: 3 members like neither fruit nor vegetables. 4 members like fruit but not vegetables. 5 members in total like fruit. Can you help Nikita organize the results into a two-way frequency table?

Answer:

[tex]3 \le x \le 7[/tex].

Step-by-step explanation:

Hopefully this will help. Let me know in the comments if it doesn't.

The domain is all the x's where the function exists. The function you have starts at x=3 and ends at x=7. There are no breaks in your line between those numbers for x. So your domain is all x's between 3 and 7 ( inclusive).

So that means all values of x that is greater than or equal to 3 and values of x less than or equal to 7.

[tex]3 \le x \le 7[/tex].

Answer:

How much money the payment is in one year, then divided by 12.

Step-by-step explanation:

To do this, lets say that Francisco's bank earns 120036$ a year.

120036/12=1003$ a month

How much payment in one year, then divided by 12.

Answer:

36 months

Step-by-step explanation:

simple math

Answer:

12 miles per hour

Step-by-step explanation:

Let her normal rowing speed be x

Also note the formula D = RT, where d is distance, R is rate(speed) and T is time

On windy day, her speed is x + 4

On against wind return, her speed is x - 4

With wind, she can go 48 miles in same amount of time when she goes 24 miles against wind. This can be written as:

48 = (x+4)T

24 = (x-4)T

We can write each equation in terms of T and equate both. So we have:

48/x+4 = T

24/x-4 = T

Thus,

[tex]\frac{48}{x+4}=\frac{24}{x-4}\\48(x-4)=24(x+4)\\48x-192=24x+96\\24x=288\\x=\frac{288}{24}\\x=12[/tex]

Thus, Jaime's normal rowing speed is 12 miles per hour

Answer:

Hi there!

The answer to this question is 3

Step-by-step explanation:

You first distribute the four into the parenthesis to get: 12x-24+15+ 27

Next you add -24 to 15 to get: -9 your equation should now look like 12x-9=27

Then you add 9 on both side to get 12x=36

Last you divide twelve on both sides to x=3

Answer:

3

Step-by-step explanation:

Final answer:

To simplify the expression 43 + 2(3 - 2), first solve inside the parentheses (3 - 2 = 1), then multiply by 2 (2 × 1 = 2), and finally add to 43 to get 45.

Explanation:

The question asks to simplify the expression 43 + 2(3 − 2). To simplify, follow the order of operations, often remembered by the acronym PEMDAS, which stands for Parentheses, Exponents, Multiplication/Division (left to right), Addition/Subtraction (left to right). First, solve the expression within the parentheses, which is 3 − 2 = 1. Next, multiply the result by 2 (2 × 1 = 2). Lastly, add this result to 43 to get the final answer, 43 + 2 = 45. This process demonstrates how to approach and simplify mathematical expressions using proper order of operations.

Answer:

The answer is 18

Step-by-step explanation:

1.5(p+n) for p= and n =6​

As we know the values of p=6 and n=6

Solve it according to the BODMAS rule. According to this rule if we have brackets or parenthesis then first we have to solve or simplify the brackets.

Put the values in the given expression:

1.5(6+6)

Now solve the parenthesis first:

1.5(12)

Now multiply 1.5 by

The answer is 18....

[tex](f+g)(x)=3x-2+2x+1=5x-1[/tex]

Answer:

x=65

Step-by-step explanation:

The angle with the measurement of 125 degrees is supplementary to the one adjacent to it (sharing the same vertex and on same line).

What that means is that the measurement of the angle adjacent to that angle of 125 degrees is 180-125=55.

So now we know the sum of the interior angles of a triangle add up to be 180 degrees.

That is we have to solve the following equation for x:

x+55+60=180

Add 55 and 60:

x+115=180

Subtract 115 on both side:

x=180-115

Simplify:

x= 65

Answer:

d. (-2, 5)

Step-by-step explanation:

Point T is reflected over the y-axis.

Therefore, the coordinates are (-2, 5).

Answer:

T' is (-2,5)

Step-by-step explanation:

To reflect a point across the y-axis, you will note the following:

1- the sign x-coordinate of the point is flipped while the value remains the same

2- both the sign and the value of the y-coordinate remain the same

We are given that:

point T is (2,5)

Applying the above:

sign of x-coordinate is flipped and value is the same :

x- coordinate of T' is -2

both sign and value of y-coordinate are the same:

y-coordinate of T' is 5

Based on the above:

T' would be (-2,5)

Hope this helps :)

Answer:

The graph in the attached figure

Step-by-step explanation:

Let

x ----->  the number of open acres

y ---->  the number of developed acres

we know that

[tex]x+y \geq 4[/tex] -----> inequality A

[tex]x\leq 1[/tex] ----> inequality B

Remember that

if the number of open acres, x, can be no more than 1. then the number of open acres, x must be less than or equal to 1

Solve the system of equations by graphing

The solution is the shaded area (Note The number of acres cannot be a negative number)

The graph in the attached figure

Answer: It's B

Step-by-step explanation: I just did it on edge 2020

The measure of <2 is 45 degree.

The angle sum property of a triangle states that the sum of the interior angles of a triangle is always 180 degrees.

From the figure, applying angle sum property

<2 + 45 + 90= 180

<2 + 135=180

<2 = 180- 135

<2 = 45 degree

Thus, the measure of <2 is 45 degree.

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Answer:

C. Marc

Step-by-step explanation:

to get the amount they earn in an hour divide the amount they earn by the amount of hours they worked for.

Maria: 60 divided by 8 = 7.50

Marc: 46.50 divided by 6 = 7.75

Has la serie numérica

a= 34.969.385

b = 34.969.386

c = 34.969.387

[tex]a < b < c[/tex]

Answer:

Option C (f(x) = x^2)

Step-by-step explanation:

Quadratic Function is a polynomial which has a maximum degree of 2. It is expressed in the form:

f(x) = a + bx + cx^2; where a, b, and c are real numbers.

Any function which has the highest degree of 2 (not more than that) is the quadratic function. Option A illustrates the absolute values function. Option B shows a function which does not match the characteristics of the quadratic equation. Option D shows a linear function. Therefore, Option C (i.e. f(x) = x^2) is the correct choice!!!

Answer: 7,920 feet.

Step-by-step explanation: There are 5,280 feet in a mile. To find how many feet are in 1.5 miles, multiple 1.5 by 5,280.

1.5 x 5,280 = 7,920

There are 7,920 feet in 1.5 miles.

Answer:

n=5   n=9

Step-by-step explanation:

n^2 − 14n = -45

Add 45 to each side

n^2 − 14n +45 = -45+45

n^2 -14n +45 = 0

Factor the equation

What 2 number multiply to 45 and add to -14

-5*-9 = 45

-5+-9 = -14

(n-5) (n-9) =0

Using the zero product property

n=5   n=9

Answer:

D

Step-by-step explanation:

A trinomial is an expression consisting of three terms, and D is the only one with 3 terms.

Please give brainliest!

The trinomial among the following expressions is 5x² + 3x + 6

A polynomial with three terms is called a trinomial.

Clearly in options A ,B , C there are two terms in all the expressions and hence they are not trinomial.

In option D, the expression is 5x² + 3x + 6, which is having 3 terms

So this is the trinomial.

Option D is correct.

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Answer:

(- 5, - 28 )

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

f(x) = (x + 5)² - 28 ← is in vertex form

with vertex (h, k) = (- 5, - 28)

Answer:

3/5

Step-by-step explanation:

Soh Cah Toa

In some trigonometry classes, this acronym is very important to solving questions like this.

Why?

It tells us the right triangle-definition of these trigonometry functions.

We have that cosine of an angle is equal to tge side that is adjacent to it over the hypotenuse.

So here we are asked to find cos(B).

Lets look at triangle respect to the angle B

The measurement of the side that is opposite is 64.

The measurement of the side that is adjacent is 48.

The measurement of the hypotenuse is 80.

So cos(B)=48/80.

Let's reduce. 48 and 80 have a common factor of 8 so divide numerator and dexter by 8. This gives us:

cos(B)=6/10.

One more step in reducing. Both factors are even so cos(B)=3/5.

Answer:

x=9

Step-by-step explanation:

Since y=18

The new equation is [tex]2x+3*6=36[/tex]

Moving some terms, it stays like the following:

[tex]2x=36-18[/tex]

solving for x, give us that x=9

Option B, 1/3

Since pepper topping can be in any size pizza, it remains as a 1/3 probability, since there are three toppings per size.

[tex]\bf \textit{Logarithm Cancellation Rules} \\\\ log_a a^x = x\qquad \qquad a^{log_a x}=x \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \log_6(\sqrt[3]{6})\implies \log_6(6^{\frac{1}{3}})\implies \cfrac{1}{3} \\\\[-0.35em] ~\dotfill\\\\ \log_2(64)\implies \log_2(2^6)\implies 6 \\\\[-0.35em] ~\dotfill\\\\ -3\log_5(25)\implies -3\log_5(5^2)\implies -3(2)\implies -6 \\\\[-0.35em] ~\dotfill[/tex]

[tex]\bf \log_2(\sqrt[4]{8})\implies \log_2(\sqrt[4]{2^3})\implies \log_2(2^{\frac{3}{4}})\implies \cfrac{3}{4} \\\\[-0.35em] ~\dotfill\\\\ \log_3\left( \frac{1}{81} \right)\implies \log_3\left( \frac{1}{3^4} \right)\implies \log_3(3^{-4})\implies -4[/tex]

Answer:

3/4 goes with [tex]\log_2(8^\frac{1}{4})[/tex]

-4 goes with [tex]\log_3(\frac{1}{81})[/tex]

-6 goes with [tex]-3\log_5(25)[/tex]

1/3 goes with [tex]\log_6(6^\frac{1}{3})[/tex]

Step-by-step explanation:

[tex]\log_6(6^\frac{1}{3})=\frac{1}{3}\log_6(6)=\frac{1}{3}\cdot 1=\frac{1}{3}[/tex]

[tex]\log_2(64)=6 \text{ since } 2^6=64[/tex]

[tex]-3\log_5(25)=-3(2)=-6 \text{ since } 5^2=25[/tex]

[tex]\log_2(8^\frac{1}{4})=\frac{1}{4}\log_2(8)=\frac{1}{4}\log_2(2^3)=\frac{1}{4}\cdot (3)\log_2(2)=\frac{1}{4} \cdot 3 \cdot 1=\frac{3}{4} [/tex]

[tex] \log_3(\frac{1}{81})=\log_3(\frac{1}{3^4})=\log_3(3^{-4})=-4\log_3(3)=-4(1)=-4[/tex]

Here are few rules I used:

[tex]\log_a(b)=x \text{ means } a^x=b[/tex]

[tex]\log_a(a)=1 [/tex]

[tex]\log_a(b^r)=r \log_a(b)[/tex]

Answer:

5/48

Step-by-step explanation:

1x5=5

8x6=48

which give u

5/48

Answer:

[tex]\large\boxed{\dfrac{5}{48}}[/tex]

Step-by-step explanation:

[tex]\dfrac{1}{8}\times\dfrac{5}{6}=\dfrac{1\times5}{8\times6}=\dfrac{5}{48}\leftarrow\text{this is the simplest form}[/tex]

Answer:

January

Step-by-step explanation:

January is a counter-example of the name of the month begins with a January then it's a winter month by a season.

The counter example is : January since it begins with the letter J and is a winter month, which is not summer.

An example that disproves a statement (shows that it is false) is called a counter example.

The counter example will be : January since January is a month that starts with J that is not a summer month

January is the only month that fits this criteria.

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Answer:

40

Step-by-step explanation:

Subtracting a number k from 300 looks like this 300-k.

Adding a number k to 220 looks like this 220+k.

They are saying for some number k that we have 300-k and 220+k is the same value.

That is, 300-k=220+k.

This is the equation we are going to solve for your number.

300-k=220+k

Add k on both sides:

300=220+2k

Subtract 220 on both sides;

80=2k

Divide both sides by 2:

40=k

k=40.

So the number is 40.

Check: 300-40=260 while 220+40=260.

[tex]\displaystyle\tt\left(\frac{xy^4}{x^{-5}y^5}\right)^{-3} =\frac{x^{-3}y^{4\cdot(-3)}}{x^{-5\cdot(-3)}y^{5\cdot(-3)}}=\boxed{\tt\frac{x^{-3}y^{-12}}{x^{15}y^{-15}}}[/tex]

Final answer:

The expression 1(y), when y = -5/8, is calculated by multiplying 1 by -5/8, which simply yields -5/8.

Explanation:

The task is to find the value of the expression 1(y) when y is given as -5/8. The expression 1(y) can be interpreted as simply '1 times y'. Therefore, we need to multiply the number 1 by -5/8 to find the answer.

1(y) = 1 * (-5/8) = -5/8

This is a basic arithmetic operation, specifically multiplication, commonly encountered in mathematics. When we multiply any number by 1, the result is the number itself, which in this case applies to the negative fraction -5/8.

Answer:

Step-by-step explanation:

The answer is 12 miles, if every inch is 3 miles on the map then 3x4=12.

Answer:

12 miles

Step-by-step explanation:

In order to solve the problem you only have to use the scale of the map, we know that the ratio is 1 inch to 3 miles, so if one inch in the map represent 3 miles on real scale, now we just do a rule of three like this:

[tex]\frac{1 inch}{4 miles}=\frac{3 inches}{x}[/tex]

So now that we have our function we can clear the x to solve the problem:

[tex]x=\frac{3x4}{1}[/tex]

[tex]x=\frac{12}{1}[/tex]

[tex]x=12 miles.[/tex]

By doing this we now know that there are 12 miles from downtown to the lake.

Answer:

B

Step-by-step explanation:

Answer:

He didn't change the direction of the inequality when he divided both sides by -2.

Step-by-step explanation:

Let's go through each step and see.

First step: They distribute and they did so correctly. -4(x+8)=-4x-32.

Second step: They added 2x on both sides.  

Third step:  They added 32 on both sides.

Fourth step: The divide both sides by -2 correctly but since this is inequality you must flip the sign.

For example 3>2 but if you multiply both sides by -1 or divide both sides by -1 you get -3<-2.

You have to flip the sign whenever you multiply or divide both sides of inequality by negative number.