A straw is placed inside a rectangular box that is 5 inches by 5 inches by 8 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. 8 in. 5 in. 5 in.

Answer:

27.73

Step-by-step explanation:

You do 3.25 x 7.3= 23.725 so you round the 2 up to a 3. So then you do

23.73+ 4.00= 27.73

The required equation in slope intercept form is equal to y = -2x - 21.

In Mathematics, the slope-intercept form of a line can be calculated by using this linear equation:

y = mx + c

Where:

Based on the information provided about the line, it is represented by this equation;

2x - y = -21

Making y the subject of formula in the above equation, we have the following:

y = -2x - 21

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There were 172 children and 165 adults admitted to the amusement park.

Given that the admission fee for children is $1.50, so the total amount collected from children is 1.5c.

Similarly, the admission fee for adults is $4, so the total amount collected from adults is 4a.

We are also given that the total number of people admitted to the park is 337, so we can write the following equation based on the number of people:

c + a = 337

The total admission fees collected is $918.

1.5c + 4a = 918

Now we have a system of two equations.

From the first equation, we can express 'c' in terms of 'a':

c = 337 - a

Substituting this value of 'c' into the second equation:

1.5(337 - a) + 4a = 918

505.5 - 1.5a + 4a = 918

2.5a = 918 - 505.5

2.5a = 412.5

a = 412.5 / 2.5

a = 165

Substituting the value of 'a' back into the first equation:

c + 165 = 337

c = 337 - 165

c = 172

Therefore, there were 172 children and 165 adults admitted to the amusement park.

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Increasing 2400 by 5% gives us 2520

we can increase the value by using the formula:

\(initial value+ percentage increase *initial value\) = increased percentage

in the aforementioned question we have

initial value = 2400

percentage increase = 5%

thus we can find out the increased percentage by:

2400 + 2400 X (5/100)

=2400 + 120

=2520

the value by which 2400 is increased is 120

to arrive at the increased value which is 2520

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Step-by-step explanation:

Let's assume Debbie paid $1700 in interest, while Jan paid $9000.

Debbie Saves = $1700* 0.28

Jan Saves = $9000 * 0.28

Debbie Saves $476 in taxes

Jan Saves $2520 in taxes

Answer:

add all of them toghether to get it

Answer:

Step-by-step explanation:

(0,2)

Answer:

Step-by-step explanation

So, the graph goes through the points, (-3,0) and (2,0). 3 points on the graph can be (-3,0), (2,0), and (4,3)

Answer: Required number of ways =  1715

Step-by-step explanation:

Given, there are 45 balloons: 15 are blue; 20 are green; 10 are red.

3 balloons are selected for the float.

Number of combinations to select r things out of n things : \(^nC_r=\dfrac{n!}{r!(n-r)!}\)

So, the number of ways to select 3 ballons such that they are the same color = (Ways to select all blue ) x (Ways to select all green ) x (Ways to select all red)

\(^{15}C_3+^{20}C_3+^{10}C_3\\\\=\dfrac{15!}{12!\times3!}+\dfrac{20!}{17!\times3!}+\dfrac{10!}{7!\times3!}\\\\=\dfrac{15\times14\times13}{6}+\dfrac{20\times19\times18}{6}+\dfrac{10\times9\times8}{6}\\\\=455+1140+120\\\\=1715\)

Hence, Required number of ways =  1715

Answer:

1.5 meters

Step-by-step explanation:

30/20 = 1.5

Answer:

1.5 meters per second.

Step-by-step explanation:

30/20=1.5

Hope I helped!

Watch the letter order of the statement:

ΔABC ≅ ΔDEF

Where point:

A = D

B = E

C = F

Take any sides and use the corresponding labels correctly to make them congruent.

Let's say I take side AB.

ΔABC ≅ ΔDEF

Refer to the correspondence chart we did above ^^^. As you can see that AB is equal to DE. You can also see this by referring to the first two letters in the triangle statement.

One pair of congruent sides: AB ≅ DE

Now for the angles, it's basically the same concept.

I'll take angle ∠ABC or ∠B. (Note: Always refer to the middle letter when there is a three letter angle label like ∠ABC)

Refer to the chart and what do we see?

We see that:

∠ABC = ∠DEF

          or

∠B = ∠E

One pair of congruent angles: ∠ABC ≅ ∠DEF or ∠B ≅ ∠E

Note: you can also do this with any letter combination, order, etc. ONLY IF you can correctly order their corresponding points.

1. Figure STUV is congruent to Figure KLMN because rigid motions can be used to map Figure STUV onto Figure KLMN.

2. Figure STUV is also similar to Figure KLMN because rigid motions and/or dilations can be used to map Figure STUV onto Figure KLMN. The scale factor is 2.

When it is said that two figures are congruent, like the ones shown on the graph, This means that they have the same shape and size.

Similar figures have the same shape, but they may have different sizes and be located in different positions.

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The expressiοn (x+1)(x+2) has the greatest vaIue οf 30 when x=4.

An aIgebraic expressiοn is a mathematicaI phrase that cοntains variabIes, cοnstants, and mathematicaI οperatiοns. It may aIsο incIude expοnents and/οr rοοts. AIgebraic expressiοns are used tο represent quantities and reIatiοnships between quantities in mathematicaI situatiοns, οften in the cοntext οf prοbIem-sοIving.

Tο evaIuate the expressiοn (x+1)(x+2) when x=4, we simpIy substitute 4 intο the expressiοn, which gives us (4+1)(4+2).

SοIving this expressiοn, we first perfοrm the additiοns inside the parentheses tο get (5)(6).

Then, we muItipIy the twο numbers tο get 30.

when x=4, the expressiοn (x+1)(x+2) evaIuates tο 30, which is its greatest vaIue. This is because the quadratic expressiοn x² + 3x + 2 increases as x increases, and it reaches its maximum vaIue when x=4.

Therefοre, the expressiοn (x+1)(x+2) has the greatest vaIue οf 30 when x=4.

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p(red) as a decimal 0.6

p(red) as a percentage is 60%

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Sweet Poison Glmv

Answer:

15

Step-by-step explanation:

x*x = 9*9 + 12*12

--> x = 15

Answer:

40 + -40 = 0

Step-by-step explanation:

hope this helps!

Answer:

40 + -40 =0 (your answer)

2538494 + -2538494 = 0 (example)

4 + -4 = 0 (example)

-18 + 18 = 0 (example)

-82 + 82= 0 (example)

just as long as the first number and the second number are the same, and one is negative and the other is positive, added together the two numbers will equal zero.

Answer:

x=2

Step-by-step explanation:

You have to find the proportion and then apply it to the second part of the equation- for example, x/6 displays a 6/9 proportion to 3/9 because 9 times 6/9 equals 6. For this reason, you have to multiply 6/9 by 3 to find the new numerator, which in this case would be 18/9 or 2.

This might've been a little confusing as an explanation but hope it helps

Answer:

the answer is 93

Step-by-step explanation:

i dont know how to explain it but just use a calculator.

The explicit formula for the geometric sequence is  \(a_n=25(\frac{1}{5})^{n-1}\).

What is explicit formula for geometric series?

The explicit formula for geometric sequence is \(a_n=a_1(r)^{n-1}\) where r is common ratio.

Here the given sequence is 25,5,\(\frac{1}{2}\)...

Here first term \(a_1=25\)  

Common ratio  = \($ \frac{a_2}{a_1}=\frac{5}{25}=\frac{1}{5}\)

Now, Explicit formula \($ a_n=a_1(r)^{n-1}\)

=> \($ a_n=25(\frac{1}{5})^{n-1}\)

Hence the explicit formula of geometric series is  \($ a_n=25(\frac{1}{5})^{n-1}\).

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The system A has no solution.

The system B has the solution y=( 3-x )/3

What is the solution to an equation?

In order to make the equation's equality true, the unknown variables must be given values as a solution. In other words, the definition of a solution is a value or set of values (one for each unknown) that, when used as a replacement for the unknowns, transforms the equation into equality.

System A:

x+3y=9..........(1)

-x-3y=9 ..........(2)

(1) => x=9-3y........(3)

Substitute (3) into (2)

(2) = >  - ( 9-3y ) - 3y = 9

          -9 + 3y - 3y = 9

          -9 =9

This is false.

So, the system has no solution.

System B:

-x-3y=-3..........(1)

x+3y=3..........(2)

(2) => x=3-3y........(3)

Substitute (3) into (1)

-(3-3y)-3y=-3

-3+3y-3y= -3

-3=-3

This is true,

So, the solution is:

x=3-3y

=> 3y= 3-x

=> y=( 3-x )/3

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Answer:

c

Step-by-step explanation:

Answer:

B. $700

Step-by-step explanation:

The answer is A because.....

Step 1: Find the 7% of 2000.

a.) 7% of 2000 is 140.

b.) Check- So: 140/2000= 0.07 (7%)

Step 2: Multiply 140x5 which equals $700.

Although, I can’t really see the second question‘s options, as the calculations made for the previous question, she paid $140 each year.

I rlly hope this is helpful! If so, please, please, please mark brainliest! Thanks! :)

Answer:

c

Step-by-step explanation:

Step-by-step explanation:

Correct, the dilation is an enlargement .

the base '4'  becomes  '6'     a factor of 1.5       ( because 1.5 * 4 = 6)

The sampling distribution of is a binomial distribution with parameters n and p, where n is the sample size and p is the population proportion of the specified characteristic.

The mean of the sampling distribution is np and the standard deviation is  \($\sqrt{np(1-p)}$\).

Round the standard deviation to three decimal places, it is \($\sqrt{np(1-p)}$ = $\sqrt{n \cdot p \cdot (1-p)} \approx \sqrt{n \cdot p \cdot 0.99}$\).

The sampling distribution of is a binomial distribution with parameters n and p, where n is the sample size and p is the population proportion of the specified characteristic. The mean of the sampling distribution is np and the standard deviation is \($\sqrt{np(1-p)}$\). This means that for a given sample size n and population proportion p, the standard deviation of the sampling distribution can be calculated by taking the square root of the product of n, p, and (1-p).

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Answer:

B 360 in

Step-by-step explanation:

36 times 10 equals 360

Answer:

If f(-5) = 7, then the point P(-5, 7) will be on the graph of f

where -5 is the x-coordinate and 7 is the y-coordinate

Step-by-step explanation:

Answer:24 sq. units

Step-by-step explanation:

The length of the base is (7-1)= 6 units. The height is 8 units.

Area =1/2*l*b=24

The 95 percent confidence intervals for µ is (50.049, 51.071) and for 99 percent confidence intervals is (49.903, 51.247).

What is confidence interval?

A confidence interval is defined as the estimate's mean plus and minus the estimate's range.

We are given that the mean(x) = 50.560, s = 1.68, and the sample size is over 30.

Using the formula, we get

95% confidence interval

⇒Mean(x) (+/-) 1.96 (1.68/v40)  

⇒(50.560 - 0.511 , 50.560 + 0.511)

⇒(50.049, 51.071)

99% confidence interval

⇒Mean(x) (+/-) 2.576 (1.65/v40)

⇒(50.560 - 0.672, 50.560 + 0.672)

⇒(49.888, 51.232)

Hence, the 95 percent confidence intervals for µ is (50.049, 51.071) and for 99 percent confidence intervals is (49.903, 51.247).

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Step-by-step explanation:

it seems you solved the tricky part yourself already.

just to be sure, let's do the first derivative here again.

the easiest way would be for me to simply multiply the functional expression out and then do a simple derivative action ...

f(t) = (t² + 6t + 7)(3t² + 3) = 3t⁴ + 3t² + 18t³ + 18t + 21t² + 21 =

= 3t⁴ + 18t³ + 24t² + 18t + 21

f'(t) = 12t³ + 54t² + 48t + 18

and now comes the simple part (what was your problem here, don't you know how functions work ? then you are in a completely wrong class doing derivatives; for that you need to understand what functions are, and how they work). we calculate the function result of f'(2).

we simply put the input number (2) at every place of the input variable (t).

so,

f'(2) = 12×2³ + 54×2² + 48×2 + 18 = 96 + 216 + 96 + 18 =

= 426