Small cubes of edge length frac{1}{4}
4
1
​
inch will be packed into the rectangular prism.
​

How many small cubes are needed to completely fill this rectangular prism?
​
small cubes

Using the combination formula, it is found that there are 286 10-person teams.

The order in which the girls are chosen is not important, hence the combination formula is used to solve this question.

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this problem, 10 girls are chosen from a set of 13, hence:

[tex]C_{13,10} = \frac{13!}{10!3!} = 286[/tex]

There are 286 10-person teams.

More can be learned about the combination formula at https://brainly.com/question/25821700

Step-by-step explanation:

is there a question here???

Answer:

Alright?

Step-by-step explanation:

Answer:

hello

cos  59° = IH/x

x =  ≈ 58.24

Step-by-step explanation:

Answer:

112

Step-by-step explanation:

16x7=112

Answer:

To answer this, you just multiply 16 by 7 because Matthew's dog drinks 16 ounces of water each day, and there are 7 days in a week. After doing so, you will find the answer of 112. So, Matthew's dog will drink 112 ounces of water in a week.

Step-by-step explanation:

Hope this helps! :)

Have a blessed day!

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Answer:

Its always the side that is opposite of the right angle.

Step-by-step explanation:

Hope this helps!

Answer:

3/5

Step-by-step explanation:

(I'm just doing this for the badge)

Answer:

221

Step-by-step explanation:

8848 / 40 = 221.2 round down and get 221

Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!

Answer:

Given that,

x⁴y⁵ + x⁵y⁴ = 810

➝ x⁴y⁴(x+y) = 810 ---(1)

[tex] \: [/tex]

Further given that,

x⁶y³ + x³y⁶ = 945

x³y³(x³y³) = 945

[tex] \: [/tex]

We know,

[tex] { \boxed{{x}^{3} + {y}^{3} = (x + y)( {x}^{2} - xy + {y}^{2}) }}[/tex]

So, using this identity, we get,

➝ x³y³( x + y )( x² - xy + y²) = 945

---(2)

[tex] \: [/tex]

On dividing equation (1) and (2), we get,

[tex] \longrightarrow\frac{ {x}^{2} - xy + {y}^{2} }{xy} = \frac{945}{810} [/tex]

[tex] \longrightarrow \: \frac{ {x}^{2} + {y}^{2} }{xy} - 1 = \frac{7}{6} [/tex]

[tex] \longrightarrow \: \frac{ {x}^{2} + {y}^{2} }{xy} = \frac{7}{6} + 1[/tex]

[tex] \longrightarrow \: \frac{ {x}^{2} + {y}^{2} }{xy} = \frac{7 + 6}{6} [/tex]

[tex] \longrightarrow \: \frac{ {x}^{2} + {y}^{2} }{xy} = \frac{13}{6} [/tex]

[tex] \: [/tex]

➝ 6x² + 6y² = 13xy

➝ 6x² - 13xy + 6y² = 0

➝ 6x² - 4xy - 9xy + 6y² = 0

➝ 2x( 3x - 2y ) - 3y( 3x - 2y ) = 0

➝ ( 3x - 2y ) ( 2x - 3y ) = 0

[tex] \longrightarrow \:{ \bold{ x = \frac{3y}{2} \: \: \: or \: \: x = \frac{2y}{3} }}[/tex]

[tex] \: [/tex]

[tex] \: [/tex]

[tex]{ \underline {\underline {\red{Case:- 1 }}}}[/tex]

[tex]{ \bold{When \: x = \frac{3y}{2}}} [/tex]

In Substating the value of x in equation (1) we get,

[tex] \frac{81 {y}^{4} }{16} \times {y}^{4} \times ( \frac{3y}{2} + y) = 810[/tex]

[tex] \frac{ {y}^{8} }{16} \times ( \frac{5y}{2} ) = 10[/tex]

[tex] {y}^{9} = 64[/tex]

[tex] {y}^{9} = {2}^{6} [/tex]

[tex] \: [/tex]

[tex] \longrightarrow \: { \bold{y = {(2)}^{ \frac{2}{3} } }}[/tex]

[tex] \longrightarrow \: { \bold{x = \frac{3}{2} {(2)}^{ \frac{2}{3} } }}[/tex]

[tex] \: [/tex]

[tex] \: [/tex]

[tex]{ \underline {\underline {\red{Case:- 2}}}}[/tex]

[tex]{ \bold{When \: x \: = \frac{2y}{3} \rightarrow \: \: y = \frac{3x}{2} }}[/tex]

On Substituting the value of y in equation (2), we get,

[tex] \frac{81 {x}^{4} }{16} \times {x}^{4} \times ( \frac{3x}{2} + x) = 810[/tex]

[tex] \frac{ {x}^{8} }{16} \times ( \frac{5x}{2} ) = 10[/tex]

[tex] {x}^{9} = 64[/tex]

[tex] {x}^{9} = {2}^{6} [/tex]

[tex] \: [/tex]

[tex] \longrightarrow \: { \bold{x \: = {(2)}^{ \frac{2}{3} } }}[/tex]

[tex] \longrightarrow \: { \bold{y = \frac{3}{2} {(2)}^{ \frac{2}{3} } }}[/tex]

Answer:   y= 3x - 5 + 5 - 5

Step-by-step explanation:  

Answer:

Step-by-step explanation:

Given system:

1. Multiply the second equation by - 4 to get:

2. Now, add this up with the first equation:

3. Find the value of y:

The solution is (- 2, - 6)

Answer: 24

Step 1: Subtract 7 because Norachai has seven more lollipops.

55 - 7 = 48.

Step 2: Divide 48 by 2 because he gave every student two lollipops.

48 divided by 2 = 24.

Answer = 24

Answer:

so involved triangles we know that one angle is 90° because of the right angle sign and you know that two x two interior angles add up to 180 angle so 90 degrees we will name the unknown angle x + x is equals to 127 degrees x is equals to 37 degrees so we have two angles are both of the triangles that is 90 degrees and 37 degrees 37 degrees is on the upper part of the triangle so it'll be 37° + 37° to get 74 degrees and the angle that you're looking for is a reflex angle so it'll be 360 degrees - 74 degrees so they think the answer is 286 degrees

Answer:

4. Translation 6 unit right and 2 units down.

Step-by-step explanation:

Let' take the point and it's corresponding image.

x(-2,0) and x'(4,-2)

Now,let's find the translation

-2+? =4

0+? =-2

Now, if we solve each for ?, we get

-2+?=4, gives ? =6

0+?=-2 gives ?=-2

It means the translation is move right 6 units and down 2 units.

So, option 4 is right.

Answer:

a

Step-by-step explanation:

y= 1/2 ^(x+4)

Step-by-step explanation:

combine the like terms

(6x^2 + x^2) + (7x + 5x) + (1 + 6)

7x^2 + 12x + 7

Answer:

-5x² + 2x + 3

Step-by-step explanation:

Since its a trinomial, it has three terms.

Since it has a degree 2, the highest degree is 2 and will usually be the first term.

The coefficient of the first term must have a -5.

Standard form is like  ax² + bx + c

Where a,b, and c are variables.

So,  -5x² + 2x + 3 should work

We know the standard form

Now

So the expression is given by

Answer:

x= 161

Step-by-step explanation:

Answer:

x=45

Step-by-step explanation:

86+49=135

180-135=45

Answer:

c

Step-by-step explanation:

Answer:I’m guessing you meant cm for 112 so..

Step-by-step explanation:250-112=138

so 250-138=112

Answer:

100 cm

Step-by-step explanation:

112*2 then you divide & get 100

Answer:

Step-by-step explanation:

Follow (PEMDAS) order of operations

[tex]3-5+3\left(2-1\right)+4\div \:2\\\\3-5+3\cdot \:1+4\div \:2\\\\3-5+3+4\div \:2\\\\3-5+3+2\\\\3[/tex]

~

Answer:

x = 11

Step-by-step explanation:

Answer:

Step-by-step explanation:

a² + b² = (a + b)² - 2ab

Answer:

It is similar because you have to always have the same numerator in adding or subtracting fractions. Adding fractions and subtracting mixed numbers is different because when u have a  mixed number you have to simplify it to its lowest terms to make it easy to tell if it's a whole number or mixed.

example: 2 1/2 + 3/2= 4 now u know its a whole number but as a mixed number that would be 8/2

Step-by-step explanation:

Answer:

A mixed number is a fraction just with a whole number such as 1, 2, 3, and on. A regular fraction would be 5/10 and you can make that irregular so we can say if it was 15/10 then thats still a fraction but its improper and in order to make it proper you must make it a mixed number.

If any of this made sense then i hope i helped.

Step-by-step explanation:

Answer:

1 is your answer if not idk

Step-by-step explanation:

because if there is 4 and its 3 then its 1

So we know

[tex]\\ \rm\rightarrowtail y=ab^x[/tex]

Put what's given

[tex]\\ \rm\rightarrowtail -3=ab^0[/tex]

[tex]\\ \rm\rightarrowtail -3=a[/tex]

Now put back

[tex]\\ \rm\rightarrowtail y=-3b^x[/tex]

[tex]\\ \rm\rightarrowtail y=-3e^x[/tex]

Graph attached

Answer:

General form of an exponential function:  [tex]y=ab^x[/tex]

where:

If [tex]b > 1[/tex]  then it is an increasing function

If [tex]0 < b < 1[/tex] then it is a decreasing function

Also [tex]b\neq 1[/tex]

Given:

[tex]\implies y=(-3)b^x[/tex]

If we want the function to be decreasing, then as [tex]a[/tex] is negative, we need [tex]b > 1[/tex] to make the overall function decreasing.  

Let [tex]b=2[/tex] :

[tex]\implies y=(-3)2^x[/tex]

If we want the function to be increasing, then as [tex]a[/tex] is negative, we need [tex]0 < b < 1[/tex] to make the overall function increasing.

Let [tex]b=\dfrac12[/tex] :

[tex]\implies y=-3\left(\dfrac12\right)^x[/tex]

However, it doesn't matter whether the function is increasing or decreasing as the range of both of the above given functions is < 0 as [tex]a[/tex] is negative and [tex]b[/tex] is positive.

Answer:

C. If a number has a negative cube root, then the number is negative.  

Step-by-step explanation:

took the quiz

The inverse of the conditional statement is " If a number does not have a negative cube root, then the number is not negative. "

A conditional statement is a type of logical statement that expresses a relationship between two propositions or statements. It typically takes the form "if p, then q" where p and q are propositions. The statement "if p, then q" is read as "if p is true, then q is true" or "p implies q".

The truth value of a conditional statement depends on the truth values of its antecedent (p) and its consequent (q). If p is true and q is true, then the conditional statement is true. If p is true and q is false, then the conditional statement is false. If p is false, then the truth value of the conditional statement is irrelevant and it is said to be vacuously true.

Given data ,

Let the statement be represented as A

Now , the inverse of the statement is A'

where A = "If a number is negative, then it has a negative cube root."

Now , the inverse of the conditional statement is

A' = " If a number does not have a negative cube root, then the number is not negative. "

Hence , the inverse is " If a number does not have a negative cube root, then the number is not negative. "

To learn more about conditional statements click :

https://brainly.com/question/18152035

#SPJ7

Answer:

n>4

Step-by-step explanation:

1. Let's first simplify each sides.

7 + 13n − 1 > 5(2n+2) + 8

a. 7 - 1

Distribute the 5.

b. 5 x 2n = 10n

   5 x 2 = 10

c. 10n + 10 + 8 = 10n + 18

13n + 6 > 10n + 18

2. Now, eliminate 10n on both sides, as there can't be 2 variables on the opposite sides.

13n  + 6 > 10n + 18

-10n        -10n

a. 3n + 6 > 18

3. Subtract 6 from each side.

3n + 6 > 18

     -6     -6

a. 3n > 18

Divide 3

b. n > 4

Sorry for the long explanation, but i hope this helps!

Answer:

105

Step-by-step explanation:

The point entire team scored is 100%

The point Lebron scored is 40% and that is equal to 42

if 40% is equal to 42 then to find the whole we use the following equation:

42*100/40 = 105 is the total point the team got

The equation that represent this situation is 5d + 1 = c

An equation is an expression that shows the relationship between two or more numbers and variables.

Let d represent the number of days and c represent the number of chapters. Hence:

3d + 2d + 1 = c

5d + 1 = c

The equation that represent this situation is 5d + 1 = c

Find out more on equation at: https://brainly.com/question/2972832

The time she arrived at her destination is an illustration of time duration

She travelled for 19 hours, 28 minutes

The question implies that we calculate the time taken to complete the trip.

From the question, we have:

Start = 11:20 am Monday

End = 6:48 am Tuesday

So, the duration is:

Duration = End - Start

Substitute known values

Duration = 6:48 am Tuesday - 11:20 am Monday

Evaluate the difference

Duration = 19 hours, 28 minutes

Hence, she travelled for 19 hours, 28 minutes

Read more about time and distance at:

https://brainly.com/question/4931057

The 90% confidence interval for the population mean is (132.1, 143.9). Then the correct option is C.

The probability or the chances of error while choosing or calculating a sample in a survey is called the margin of error.

A simple random sample of 90 is drawn from a normally distributed population, and the mean is found to be 138, with a standard deviation of 34.

The 90% confidence interval for the population mean. Then we have

[tex]\rm Margin \ of \ error = z * \dfrac{Standard \ deviation}{\sqrt{sample \ size}}\\\\\\\Margin \ of \ error = 1.645 * \dfrac{34}{\sqrt{90}}\\\\\\Margin \ of \ error = 5.9[/tex]

The interval will be given as

Mean ± Margin of error

138 ± 5.9

Then the interval will be (132.1, 143.9).

More about the margin of error link is given below.

https://brainly.com/question/6979326

Answer:

The answer is C. 132.10 to 143.90

Step-by-step explanation:

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