15 POINT
A straw is placed inside a rectangular box that is 5 inches by 8 inches by 3 inches, as shown. If the straw fits exactly into the box diagonally from the bottom left corner to the top right back corner, how long is the straw? Leave your answer in simplest radical form.

Answer:

$771 is your answer rounded

Step-by-step explanation:

771.258

Answer:

895+ 78.25 + 9.12 + 4.5 will equal  986.87 just add all the numberes together and you will get 986.87

Step-by-step explanation:

so therefor your answer will be 986.87 but if you round it to the nearest hundred it would be a thousand

Answer:

1230000

Step-by-step explanation:

this is because of growth and inflation and deflation

12% of 120,000 = 14400

14400x7 = 100800

120,000 - 100800 = 19200

A:DECAY

Answer:

-15

Step-by-step explanation:

since there's a difference of 50 between 35 and 85, there'll be a difference of 50 between X and 35 too.

Answer: 19.61$

Step-by-step explanation:

6% = .06

10.5 x .06

.63

10.5 + .63

11.13$

8 x 0.06

.48

8 + .48

8.48$

8.48 + 11.13

19.61$

Answer:

(5+3y) (x+3)

first of all you bracket by (5x+15)(3xy+9y). and you start fact as follows by 5(x+3y) 3y(x+3)after here you take (5+3y) (x+3)

Answer:

(x+3)+(5+3y)

Step-by-step explanation: In the equation, when you have four terms you group like terms. So 5x+15 by itself and work it out which you will get 5(x+3) and do the same for 3xy+9y answer is 3y(x+3).

Then you will say 5(x+3)+3y(x+3) and then you'll

5(x+3)/(x+3)=5 because you will cancel the (x+3) so the answer would be 5

You will do the same for 3y(x+3)/(x+3)

you will get 3y

Finally, you will take the first equation which is (x+3), and then you'll use the last equation which is (5+3y)

So that's how you will get (x+3)+(5+3y)

Permutation helps us to know the number of ways an object can be arranged in a particular manner. The correct option is B.

Permutation helps us to know the number of ways an object can be arranged in a particular manner. A permutation is denoted by 'P'.

The combination helps us to know the number of ways an object can be arranged without a particular manner. A combination is denoted by 'C'.

[tex]^nC_r = \dfrac{n!}{(n-r)!r!}\ , \ \ ^nP_r = \dfrac{n!}{(n-r)!}[/tex]

where,

n is the number of choices available,

r is the choices to be made.

The probability that both students have chosen are sophomores is,

(6/20) × (5/19) = 30/380

Similarly, The expression that represents the probability that both students have chosen are sophomores is,

(⁶P₁ × ⁵P₁)/(²⁰P₂) = 30/380

Hence, the correct option is B.

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The concept of Ratios and shares.

let there be a common multiple 'x' for this ration, hence

5x + 7x + 3x = total money

here, 3x = $ 237

hence, x = $237/3 ==> $79

x = $ 79

hence now the total money that was shared =>

==> 5(79) + 7(79) + 3(79)

==> 395 + 553 + 237

==> $ 1185

The total money shared was $ 1185

The length of the hypotenuse x will be equal to x=89.72 cm.

The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle are termed trigonometry.

It is given in the question that:-

The base is = 54 cm

Angle just opposite the base is =37

So the angle with the base will be =180-90-37=53

So by applying the cosine formula for the right-angled triangle:-

Cos Ф=(B)/(H)

Cos 53=(54)(x)

x=(54)(Cos53)

x=889.72 cm

Hence the length of the hypotenuse x will be equal to x=89.72 cm.

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Changing the multiplication sign to a division sign, we will have 28 ÷ 7

Given the product of 28 and 1/7, we are to write a division equation involving division by a fraction.

Given

28 * 1/7 = 4

Changing the multiplication sign to a division sign, we will have:

28 * 1/7 = 28/7

This can also be written as 28 ÷ 7

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Answer:

A (the one you already have selected!)

Step-by-step explanation:

the vertical asymptotes: x = pi / 2

Vertical shift: - 2

Phase shift and period: pi to the right

Answer: The correct answer would be C. y= 4/5x+1

Step-by-step explanation:

[tex]y-intercept=\frac{47}{5}[/tex]

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    y-7-(4/5*(x+3))=0

STEP

1

:

           4

Simplify   —

           5

Equation at the end of step

1

:

             4

 (y - 7) -  (— • (x + 3))  = 0

             5

STEP

2

:

Equation at the end of step 2

                   4 • (x + 3)

 (y - 7) -  ———————————  = 0

                        5    

STEP

3

:

Rewriting the whole as an Equivalent Fraction

3.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  5  as the denominator :

                    y - 7                (y - 7) • 5

    y - 7 =  —————  =  ———————————

                     1                         5    

Equivalent fraction: The fraction thus generated looks different but has the same value as the whole

Common denominator: The equivalent fraction and the other fraction involved in the calculation share the same denominator

3.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

(y-7) • 5 - (4 • (x+3))     5y - 4x - 47

———————————————————————  =  ————————————

           5                     5      

Equation at the end of step

3

:

 5y - 4x - 47

 ————————————  = 0

      5      

STEP

4

:

When a fraction equals zero :

4.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now, to get rid of the denominator, I multiply both sides of the equation by the denominator.

Here's how:

 5y-4x-47

 ———————— • 5 = 0 • 5

    5    

Now, on the left hand side, the  5  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  5y-4x-47  = 0

Equation of a Straight Line

4.2     Solve   5y-4x-47  = 0

CalderonJ recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx + b" is the formula of a straight line drawn on a Cartesian coordinate system in which "y" is the vertical axis and "x" is the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  5y-4x-47  = 0 and calculate its properties

Notice that when x = 0 the value of y is 47/5 so this line "cuts" the y axis at y= 9.40000

 y-intercept = 47/5  =  9.40000

Calculate the X-Intercept :

When y = 0 the value of x is 47/-4 Our line therefore "cuts" the x axis at x=-11.75000

 x-intercept = 47/-4  = -11.75000

Calculate the Slope :

The slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 9.400 and for x=2.000, the value of y is 11.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 11.000 - 9.400 = 1.600 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     =  1.600/2.000 =  0.800

Answer:

D.irrational

Step-by-step explanation:

√10 +√26= 8.261279174

is has decimal at the end therefore it is irrational

Answer:

[tex]\displaystyle \frac{x^2}{12}-\frac{y^2}{24}=1[/tex]

Step-by-step explanation:

Since the directrices are vertical lines:

Since we already know our directrices are at the lines [tex]x=\pm2[/tex] and we know that [tex]c=\pm6[/tex] from our foci, we can solve for the value of [tex]a^2[/tex]:

[tex]x=\frac{a^2}{c}\\\\2=\frac{a^2}{6}\\\\12=a^2[/tex]

This allows us to solve for the value of [tex]b^2[/tex]:

[tex]a^2+b^2=c^2\\\\12+b^2=6^2\\\\12+b^2=36\\\\b^2=24[/tex]

Thus, our equation for the hyperbola is [tex]\displaystyle \frac{x^2}{12}-\frac{y^2}{24}=1[/tex].

Answer:

1. 52.63% 2. 47.36%

Step-by-step explanation:

20 + 18 = 38 total people

20 divided by 38 = 0.5263 to 52.63%

18 divided by 38 = 0.4736 to 47.36%

Hope this helps!

Answer:

5 hours and 35 minutes

Step-by-step explanation:

If you add the 45 and 50 minutes, you get 95 minutes, but an hour is only 60 minutes. So you subtract 60 and you're left with 35 minutes. You add the new hour onto the other 4 hours and you get 5 hours total.

Answer: 5 hours and 35 minutes

Step-by-step explanation: 2 + 2 = 4      45 + 50 = 95      95- 60 = 35

The statement is a mathematical statement, and the equation that shows the statement is y = 4m - 3

The product of 4 and m is represented as:

4 * m

Evaluate

4 * m = 4m

3 less than this product is represented as:

4 * m - 3 = 4m - 3

Let the result of the equation be represented with y.

So, we have:

y = 4m - 3

Hence, the equation that shows the statement is y = 4m - 3

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Answer:

√2 / 2

Step-by-step explanation:

In a 45-45-90 triangle, the length of a leg is equal to the hypotenuse / √2

Therefore, the length of a leg is 1 / √2

Rationalize by multiplying the numerator and denominator by √2, and this becomes √2 / 2

Answer:

4

Explanation:

The mode is what number occurs most often

The mode for this question is 4

In a set of numbers, the mode is the number that occurs most often. In other words, it measures how frequently a particular number occurs within a set of numbers. It is a type of average, like its counterparts, the median and mean.

To find the mode of a set of numbers,

Answer:

78

Step-by-step explanation:

Let the two-digit number have the digits a and b.

It mentions that they add up to 15.

Then the possible numbers are :

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

Let's reverse the numbers :

69

78

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

Solution :

Hence, the number needed is 78

Step-by-step explanation:

no. 10y+x

no. formed by reversing the digits = 10x+ y

ATQ

EQ(1)= x+y=15

EQ (2)=10x+y+9=10y +x ( Digits are reversed)

9x-9y=-9

x-y=-1

x+y=15 ( given)

2x=14,x=7

and y=15–7=8

thus the number=78

Answer:

4n^2.

Step-by-step explanation:

Working from left to right in the square parentheses:-

[6m² x 6n² ÷ 9mn ÷ 2m]²

= [(36m^2n^2 / 9mn) / 2m]^2

= (4mn / 2m)^2

= (2n)^2

= 4n^2.

[6m² x 6n² ÷ 9mn ÷ 2m]²

the simplest form.

[tex] (\frac{6 {m}^{2} \times (6 {n}^{2} ) \div 9mn {}^{} }{2m} ) {}^{2} [/tex]

[tex] = \binom{ \frac{2 {m}^{2} \times (6 {n}^{2}) }{3mn} }{2m} {}^{2} [/tex]

[tex] = \binom{ \frac{2m \times (2 {n}^{2}) }{n} }{2m} {}^{2} [/tex]

[tex] = ( \frac{m \times (2n)}{m} ) {}^{2} [/tex]

[tex] = (2n {)}^{2} [/tex]

[tex] = 4 {n}^{2} [/tex]

“Shark” is more popular with students, but “Moose” is more popular with teachers.​ Then the correct option is D.

Relative frequency is the ratio of the considered subgroup's count to the total count. (so its frequency of the considered subgroup relative to the total frequency).

A survey asks teachers and students whether they would like the new school mascot to be a shark or a moose.

This table shows the results.

                          Sharks              Moose            Total

Students               90                     10                  100

Teachers               5                       10                   15

Total                     95                      20                 115

Then the correct situation will be

“Shark” is more popular with students, but “Moose” is more popular with teachers.​

Then the correct option is D.

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Answer:

Slavery caused the Civil War because colored people were being treated unfairly by the South and the North didn't like that. States rights is when a state abides by its own rules. Missouri was allowed to enter the Union as a slave state. California had to decide if they were going to be a slave state or a free state.

Step-by-step explanation:

Slavery was the root of the Civil War in the United States. Following the election of Republican and abolitionist Abraham Lincoln in 1861, southern governments grew fearful of his political beliefs. His victory sparked heated debate in the slave-dependent southern states. Because of the incoming president's future activities, states were planning to secede. These republics were heavily reliant on agriculture, therefore ending slavery would be disastrous. After Lincoln rejected their judgment, the Union and Confederacy declared war on one other. The Confederacy battled and killed to keep slavery alive, but the union won four years later. Abraham Lincoln fought for black people's freedom and human rights while simultaneously fighting to keep the Unified States united. This battle not only ended slavery, but it also brought the states together and preserved a strong country developing together.In the 1860 presidential election, Abraham Lincoln campaigned for president and won, becoming the first republican candidate to do so. His election, on the other hand, brought terrible news to the southern states, which were heavily reliant on agricultural and used slavery to increase revenues. "By and large," according to the book America Past and Present, "By and large, by and large, by and large, by and The civil war began in April 1861, when Southern states attempted to secede from the nation after Abraham Lincoln's election, and concluded in 1865, when the northerners (the Union) triumphed.  However, the most crucial reason for the outbreak of the war was that Republican Abraham Lincoln won the election of 1860, and his views on slavery were diametrically opposed to those of the southerners. His election sparked such outrage in the southern states that the possibility of going to war to avoid being linked with his political ideals was floated.

Answer:

D. 6x + 4 / x² + 5x

Step-by-step explanation:

Dividing a fraction is same as multiplying its inverse.

Therefore,

Answer:

[tex]\textsf{D.} \quad \dfrac{6x+4}{x^2+5}[/tex]

Step-by-step explanation:

When dividing fractions, multiply the first fraction by the reciprocal of the second fraction:

[tex]\begin{aligned}\left(\dfrac{3x+2}{4x}\right) \div \left(\dfrac{x+5}{8}\right) & =\left(\dfrac{3x+2}{4x}\right) \times \left(\dfrac{8}{x+5}\right)\\\\& = \dfrac{(3x+2) \times 8}{4x \times (x+5)}\\\\& = \dfrac{8(3x+2)}{4x(x+5)}\\\\& = \dfrac{2(3x+2)}{x(x+5)}\\\\& = \dfrac{6x+4}{x^2+5}\\\end{aligned}[/tex]

Answer:

area of composite shapes is area of rectangle plus area of square what do I know I'm just in 8th grad

Answer:

okay let's start

Step-by-step explanation:

[tex]number \: 1 \\ cos \: b = \frac{adjacent}{hypotenuse} \\ cos \: b = \frac{ac}{cb} \\ \: \ cos \: b = \frac{12}{13} \\ [/tex]

First set is parallel - same gradient

Second set is neither - gradient is 2/6 or 1/3. It then had to be 3 for it to be perpendicular.

Hope this helps!

Answer:

X = [tex]\sqrt{2}[/tex] , Y = 3 , Z = 10

Step-by-step explanation:

using Pythagoras' identity in all 3 right triangles

X² = 1² + 1² = 1 + 1 = 2 ( take square root of both sides )

X = [tex]\sqrt{2}[/tex]

middle triangle

Y² = 1² + X² = 1 + ([tex]\sqrt{2}[/tex] )² = 1 + 2 = 3

triangle on right

Z² = 1² + Y² = 1 + 3² = 1 + 9 = 10

number one is 4 so put it on 4 and number 2 would be on 6 and number 3 on 1 thats just how i see it hope this helps

Step-by-step explanation:

Answer:

See below ~

Step-by-step explanation:

1. 3d + 2

2. John = Kelly - 6

3. y/4 - 3

4. Thomas = 2(Luis)

5. 8p + 6

6. x³ + 5