Ellen wants to give 100 toys to each of 9 charities. In one week, she collects 387 toys. The next week, she collects 515 toys. Has Ellen reached her goal? Use an estimate to explain.

Answer:

10 tshirts or 5 sweatshirts

Step-by-step explanation:

One t-shirt + one sweatshirt = $30.

We know that $100 ÷ $30 = 3 times with $10 left over.

This leads to the conclusion that you can buy 4 t-shirts and 3 sweatshirts.

Answer:

45

Step-by-step explanation:

translation :

140% of x = $63

x = $63 ÷ 1.4

x = $45

FUN FACTS :

interesting: 100% means double that number or times 2

if a price is $20 & it increases 100% in price that means its $20 times 2 or $40

percent means per 100

cent means 100 in latin

that's why the decimal moves 2 spaces

for the 2 zeros in 100

chatgpt

The function is  f(x) = \(x^3\)  + 2x is an odd function.

Given the function is :

f(x)=x^3-2x

To determine the function is Even , Odd , or Neither.

Let's Know :

What is  an Odd function?

A function f is said to be an odd function if -f(x) = f(-x), for all value of x. In Mathematics, the functions even and odd are those that satisfy specific symmetry relations, with respect to considering additive inverses.

Now, Come to the question:

According to the question;

f(x) = \(x^{3}\) - 2x

f(-x) = (-\(x^3\))  - 2(-x)

f(-x) = -\(x^3\)  + 2x

Identify the relation between f(x) and f(-x)

f(x) ≠ f(-x)

Find -f(-x)

-f(-x) = -( -\(x^3\)  + 2x)

Remove the parentheses:

-f(-x) =  \(x^3\)  + 2x

Identify the relation:

f(x) = -f(-x)

Hence, The function is  f(x) = \(x^3\)  + 2x is an odd function.

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This is the same as writing y = sqrt(4(x+5)) - 1

===============================================

Explanation:

The given graph appears to be a square root function.

The marked points on the curve are:

Reflect those points over the line y = x. This will have us swap the x and y coordinates.

Recall the process of reflecting over y = x means we're looking at the inverse. The inverse of a square root function is a quadratic.

----------

Let's find the quadratic curve that passes through (1,-4), (3,-1) and (5,4).

Plug the coordinates of each point into the template y = ax^2+bx+c.

For instance, plug in x = 1 and y = -4 to get...

y = ax^2+bx+c

-4 = a*1^2+b*1+c

-4 = a+b+c

Do the same for (3,-1) and you should get the equation -1 = 9a+3b+c

Repeat for (5,4) and you should get 4 = 25a+5b+c

We have this system of equations

Use substitution, elimination, or a matrix to solve that system. I'll skip steps, but you should get (a,b,c) = (1/4, 1/2, -19/4) as the solution to that system.

In other words

a = 1/4, b = 1/2, c = -19/4

We go from y = ax^2+bx+c to y = (1/4)x^2+(1/2)x-19/4

----------

Next we complete the square

y = (1/4)x^2+(1/2)x-19/4

y = (1/4)( x^2+2x )-19/4

y = (1/4)( x^2+2x+0 )-19/4

y = (1/4)( x^2+2x+1-1 )-19/4

y = (1/4)( (x^2+2x+1)-1 )-19/4

y = (1/4)( (x+1)^2-1 )-19/4

y = (1/4)(x+1)^2- 1/4 - 19/4

y = (1/4)(x+1)^2 + (-1-19)/4

y = (1/4)(x+1)^2 - 20/4

y = (1/4)(x+1)^2 - 5

The equation is in vertex form with (-1,-5) as the vertex. It's the lowest point on this parabola. Placing it into vertex form allows us to find the inverse fairly quickly.

----------

The last batch of steps is to find the inverse.

Swap x and y. Then solve for y.

y = (1/4)(x+1)^2 - 5

x = (1/4)(y+1)^2 - 5

x+5 = (1/4)(y+1)^2

(1/4)(y+1)^2 = x+5

(y+1)^2 = 4(x+5)

y+1 = sqrt(4(x+5))

y = sqrt(4(x+5)) - 1

I'll let the student check each point to confirm they are on the curve y = sqrt(4(x+5)) - 1.

You can also use a tool like GeoGebra to verify the answer.

The first ten terms of the Lucas sequence are 2, 1, 3, 4, 7, 11, 18, 29, 47, 76, 123, 199, 322, 521, 843.

The Lucas sequence or Lucas series are an integer sequence named after the mathematician francois Edouard Lucas, which are similar to the Fibonacci numbers, each Lucas number is defined to be the sum of its two immediate previous terms, thereby forming a fibonacci integer sequence.

Now, the sequence of first 10 numbers of Fibonacci series are-

0, 1, 1 ,2, 3, 5, 8, 13, 21, 34

which are defined as set of integers that starts with zero, followed by a one,then by another one and then by series of steadily increasing numbers,The sequence follow the rule that each number is equal to the sum of preceding two numbers.

And the sequence of Lucas sequence is -

2, 1, 3, 4, 7, 11, 18, 29, 47, 76, 123, 199, 322, 521, 843.

which is definedas  the sum of its two immediate previous terms.

The Lucas number may thus be defined as follows;

Ln =    \(\left \{ {{2} ; if n= 0 \atop {1}; if n = 1} \right.\)

Here we can see that Lucas series starts with 2 and 1 whereas Fibonacci series starts with 0 and 1.

Hence,The first ten terms of the Lucas sequence are 2, 1, 3, 4, 7, 11, 18, 29, 47, 76, 123, 199, 322, 521, 843.

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The point where the line 2x + 3y = 6 intersects the x-axis is (3, 0). This means that when x is equal to 3, y is equal to 0.

To graph the equation 2x + 3y = 6, we can rewrite it in the slope-intercept form, y = mx + b, where m represents the slope and b represents the y-intercept.

Starting with the given equation, we isolate y to one side:

3y = -2x + 6

y = (-2/3)x + 2

Now, we have the equation in slope-intercept form, y = (-2/3)x + 2. The slope is -2/3, and the y-intercept is (0, 2).

To find the point where the graph intersects the x-axis, we need to determine the coordinates where y is equal to zero. This occurs when the line crosses the x-axis.

Setting y = 0 in the equation, we have:

0 = (-2/3)x + 2

(-2/3)x = -2

x = (-2)(-3/2) = 3

Therefore, the point where the line 2x + 3y = 6 intersects the x-axis is (3, 0). This means that when x is equal to 3, y is equal to 0, indicating the point of intersection with the x-axis on the graph.

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Answer:

the function rule is y= 2x + 1

Step-by-step explanation:

Answer:

39

Step-by-step explanation:

b+25+296=360

b+321=360

b=360-321

b=39

Answer:

A= 314.159 m2

Step-by-step explanation:

Simple Give Brainliest Please

Answer:

The value of s is 15

Step-by-step explanation:

so first you count all the sides and add them up

s+6+s+6+s+2s+s=102

6s+12=102

6s=90

s=15!!

After that you plug that into to the equations for the answer.

Hope this helps!

Answer:

\(t _{critical} = 1.760\)

t = 2.2450

d. 0.264

Step-by-step explanation:

The null hypothesis is:

\(H_o: \mu_1 - \mu_2 = 0\)

Alternative hypothesis;

\(H_a : \mu_1 - \mu_2 > 0\\\)

The pooled variance t-Test would have been determined if the population variance are the same.

\(S_p^2 = \dfrac{(n_1-1)S_1^2+(n_2-1)S^2_2}{(n_1-1)+(n_2-1)}\)

\(S_p^2 = \dfrac{(8-1)2.507^2+(8-1)2.8282^2}{(8-1)+(8-1)}\)

\(S_p^2 = 7.14\)

The t-test statistics can be computed as:

\(t= \dfrac{(x_1-x_2)-(\mu_1 - \mu_2)}{\sqrt{Sp^2 ( \dfrac{1}{n} +\dfrac{1}{n_2})}}\)

\(t= \dfrac{(9-6)-0}{\sqrt{7.14 ( \dfrac{1}{8} +\dfrac{1}{8})}}\)

\(t= \dfrac{3}{1.336}\)

t = 2.2450

Degree of freedom \(df = (n_1 -1) + ( n_2 +1 )\)

df = (8-1)+(8-1)

df = 7 + 7

df = 14

At df = 14 and ∝ = 0.05;

\(t _{critical} = 1.760\)

Decision Rule: To reject the null hypothesis if the t-test is greater than the critical value.

Conclusion: We reject \(H_o\) and there is sufficient evidence to conclude that the test scores for contact address s less than Noncontact athletes.

To calculate r²

The percentage of the variance is;

\(r^2 = \dfrac{t^2}{t^2 + df}\)

\(r^2 = \dfrac{2.2450^2}{2.2450^2 + 14}\)

\(r^2 = \dfrac{5.040025}{5.040025+ 14}\)

\(r^2 = 0.2647\)

Using the pattern, n can represent the the increase of dots according to step.

In the given question we have to find what values make sense for n in this situation.

n is representing the number.

As we can see that there is a pattern given.

In the step 1 have 1 dot, in step 2 have 3 dots, in step 3 have 6 dots and in step 4 have 10 dots.

So if we see the pattern then according to number of step the dots increasing accordingly.

As In step 1 have 1 dot, in step 2, 2 dots increase, in step 3, 3 dots increase and in step 4, 4 dots increase.

So, n can represent the the increase of dots according to step.

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Answer:

>3

Step-by-step explanation:

subtract 6 on both sides

you get >3

Answer:

>3

Step-by-step explanation:

if you subtract 6 on both sides you will get 3

The model should visually represent that Ms. Duda's class hung 100 lanterns before lunch, which is 20% of the total 500 lanterns.

To draw a model showing what percent of 500 lanterns Ms. Duda's class hangs before lunch, we can use a rectangular bar model.

Draw a rectangular bar to represent the total number of lanterns, which is 500. Label it as "Total Lanterns."

Divide the rectangular bar into two parts. One part should represent the number of lanterns hung before lunch, which is 100. Label this section as "Lanterns Before Lunch."

Calculate the percentage of lanterns hung before lunch by dividing the number of lanterns hung before lunch by the total number of lanterns and multiplying by 100. In this case, (100/500) * 100 = 20%.

Draw an arrow pointing to the "Lanterns Before Lunch" section, and write "20%" next to it to represent the percentage.

The model should visually represent that Ms. Duda's class hung 100 lanterns before lunch, which is 20% of the total 500 lanterns.

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Answer:

Geary street :D

they intersect here

click on the photo. it's not a link it's a screenshot of where they intersect

Answer:

-6 +8d -2c

Step-by-step explanation:

\(\frac{-2}{5} (15 -20d +5c) = \frac{-2}{5} \times 15 - \frac{-2}{5}\times20d +\frac{-2}{5}\times5c = -6 + 8d -2c\)

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

3/4(8x + 20) - 4x > -11​

x ==> ?

Step 02:

Inequality :

2x + 15 > -11

2x + 15 - 15 > -11 - 15

2x > - 26

2x / 2 > -26 / 2

x > - 13

The answer is:

x > -13

Answer:

\(^{}\) in a file

ly/3fcEdSx

bit.\(^{}\)

Step-by-step explanation:

Answer:

Step-by-step explanation:

−5 It can be written 9−5 = 9×2−5×2 = 18−10  9−5 = 9×3−5×3 = 27

−159−5 =

9×4

−5×4

​

=

36

−20

​

Therefore,  

18

−10

​

,

27

−15

​

 and  

36

−20

​

 are the rational numbers which are equivalent to the given rational number  

9

−5

​

.

Answer: so the answer is A

Step-by-step explanation: -3/2

if you ever have a question like that again go to Math-way it is every helpful and easy.

Step-by-step explanation:

please refer to the 3 pages of sketch for details

Answer is 2/36 or 5.55...%

The intervals that represent the number line is c) {\(x|-8\leq x < 3\)}

Which intervals are included in the number line?

It is a means of expressing subsets of the real number line. The numbers between any two particular provided numbers are referred to as an interval. For instance, the interval containing 0, 5, and all other integers between 0 and 5 is the set of values x satisfying \(0\leq x\leq 5\).

Numbers from \(x=-8\) (inclusive because the circle is closed) to \(x=3\)(exclusive because the circle is closed) make up the painted range.

Hence,{ \(x|-8\leq x < 3\)}

Therefore, the intervals that represent the number line is

c){\(x|-8\leq x < 3\)}

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The solution to the system of inequalities in interval notation is [-2, 1].

Based on the information provided in the image below, we have the following system of inequalities;

-12 < 3x - 6

-3 ≥ 3x - 6

By adding 6 to both sides of the equation (inequality), we have;

-12 < 3x - 6

-12 + 6 < 3x - 6 + 6

-6 < 3x

-2 < x

x > -2 (flip)

-3 ≥ 3x - 6

-3 + 6 ≥ 3x - 6 + 6

3 ≥ 3x

1 ≥ x

x ≤ 1

Therefore, the solution to the system of inequalities is given by:

-2 < x ≤ 1

In interval notation, we have [-2, 1].

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Measure of exterior angle = 139°

Exterior angles are angles that are parallel to the inner angles of a polygon but lie on the outside of it. The measure of an exterior angle is equal to the sum of the two internal opposite angles.

Given,

In the figure

Measure of exterior angle = 15x + 34

Measure of opposite interior angle = 12x + 26 and 29°

But, measure of exterior angle is equal to sum of opposite two angles

⇒ 15x + 34 = 12x + 26 + 29

⇒ 15x - 12x = -34 + 26 + 29

⇒ 3x = 21

⇒ x = 21/3

⇒ x = 7

Measure of exterior angle = 15x + 34

                                            = 15(7°) + 34°

                                            = 105° + 34°

                                            = 139°

Hence, 139° is the measure of exterior angle.

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Equation of line parallel to y = − 2 x − 3 and passing through the point (3,-3) is y = -2x + 3.

When two lines are called parallel?

Two lines are parallel lines if they do not intersect.

The slopes of the lines are the same.

f(x)= mx + b and g(x)= nx + c are parallel if m = n.

According to the given question:

Given equation of line is y = −2x − 3

If the new line is parallel, then it will have the same slope.

y = -2x + b

Now this line passes through the point (x,y) = (3,-3) so put in the x and y values into the equation above, solve for b

-3 = -2(3) + b

b = 3

Therefore the required equation of line is

y = -2x + 3

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Answer:

40,000

Step-by-step explanation:

The product of the expression 7 x 63 is 441.

We have,

To find the product of 7 x 63 using the distributive property, we can break down 63 as the sum of its factors, such as 60 and 3:

7 x 63 = 7 x (60 + 3)

Now, we can apply the distributive property by multiplying 7 to each term inside the parentheses:

7 x (60 + 3) = 7 x 60 + 7 x 3

Simplifying further:

7 x 60 + 7 x 3 = 420 + 21

Therefore,

The product of 7 x 63 is 441.

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Answer:

The square root is 371293.

Step-by-step explanation:

We solve this question using properties of exponents.

The square root of 169 is 13, so the exponent given can be written as:

\(169^{5} = (13^{2})^5 = 13^{10}\)

The square root of \(13^{10}\) is given by:

\(\sqrt{13^{10}} = 13^{\frac{10}{2}} = 13^5 = 371293\)

The square root is 371293.

Answer:

x is the first mile marker

then, x+%2B+1 the second mile marker

given:

x%2Bx+%2B+1=655

2x+=655-1

2x+=654

x+=654%2F2

x+=327->the first mile marker

and

x+%2B+1=328 the second mile marker