At an assembly, 7 out of the first 12 students who entered the gym were carrying a backpack. Based on this information, if 648 students were at the assembly, how many students could be expected to be carrying a backpack?

Answer: P(both green)=1/16

P(both blue)=1/4

P(first orange and then blue)=1/8

Step-by-step explanation:

Answer:A, B, and D

Step-by-step explanation:

Answer:

56

Step-by-step explanation:

If you do need a step-by-step explanation just comment under here and I'd be happy to show you how I did it :)

Answer:

22.95 (Addition)

Step-by-step explanation:

Add the numbers

Add $5.35 + $17.50

Answer = 22.95

How did we get it? ( Added the numbers)

Have a good day :D

[tex] \frac{ - 1}{2} [\cos(8x(x + 3))]+ c[/tex]

Answer:

[tex]\large \text{$ -\dfrac{1}{2}\cos (8x^2+24x) + C $}[/tex]

Step-by-step explanation:

[tex]\large \displaystyle\begin{aligned}\textsf{let }\:u & =8x^2+24x\\\\\implies \dfrac{du}{dx} & =16x+24\\ & =2(8x+12)\\\\\implies dx & =\dfrac{1}{2(8x+12)}\: du\\\end{aligned}[/tex]

[tex]\large\displaystyle\begin{aligned}\int (8x+12) \sin (8x^2+24x)\:dx & = \int (8x+12) \sin (u) \cdot \dfrac{1}{2(8x+12)}\:du\\\\& = \int \dfrac{(8x+12)\sin (u)}{2(8x+12)}\:du\\\\& = \int \dfrac{1}{2}\sin (u)\:du\\\\& = -\dfrac{1}{2}\cos (u) + C\\\\& = -\dfrac{1}{2}\cos (8x^2+24x) + C\\\\\end{aligned}[/tex]

Answer:

(-2,2)     see attached diagram

Step-by-step explanation:

see graph

Answer:

Step-by-step explanation:

13(z+16) = 949

z+16 = 949 : 13 = 73

z = 73 - 16 = 57

Recheck : 13 x (57+16) = 13 x 73 = 949.

Answer:

A) The areas of two congruent figures are equal.

Step-by-step explanation:

Solution:

2nd, 3rd, and 4th statements are formulas, not theorems.

Areas of two congruent figures that are equal is a theorem.

Answer:

Uhm..drugs-

Step-by-step explanation:

For the expression y5y3−(y−2)4 the correct value is in the first tile, and for the expression (y−2)4+y3y5 the correct value is in the fifth tile.

Exponents that should be integers are known as integer exponents in mathematics. It could be either a positive or negative integer. The positive integer exponents specify how many times the base number should be multiplied by itself in this case.

We have:

[tex]=\rm y^5y^3-(y^{-2})^4[/tex]

[tex]= \rm y^{5+3}-(y^{-2\times4})[/tex]

[tex]= \rm y^{8}-(y^{-8})[/tex]

[tex]= \rm y^{8}-\dfrac{1}{y^{8}}[/tex]

[tex]\rm y^5y^3-(y^{-2})^4 = y^{8}-\dfrac{1}{y^{8}}[/tex]

Similarly,

[tex]\rm (y^{-2})^4 + \dfrac{y^3}{y^{5}} = \rm \dfrac{1}{y^{8}} + \dfrac{1}{y^{2}}[/tex]

Thus, for the expression y5y3−(y−2)4 the correct value is in the first tile, and for the expression (y−2)4+y3y5 the correct value is in the fifth tile.

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Answer:

See below

Step-by-step explanation:

x = the number

-1/6 x < -9     multiply both sides by -6   (this reverses <  to  > )

x > 54    

Answer:  Choice D  [tex](1-0.74)^4[/tex]

Reason:

74% = 0.74 represents the probability of him making any given free throw.

This means 1 - 0.74 is the probability of him missing.

Getting four misses in a row has a probability of (1-0.74)^4 which is the same as writing [tex](1-0.74)^4[/tex]

In other words, we multiply exactly four copies of (1-0.74) to get our answer.

Answer:

the answer is x=-4

Step-by-step explanation:

Rewrite the angle as a sum or difference with its

reference angle: sin(180° + 20°)

Simplify the expression using the general

reduction formula: sin(20)

Calculate the approximate value: -0.34202

Answer: -0.34202

Answer:

12 in3

step by step exlpaination.

Answer:

r

≈

5.05cm

r

=

1

2

A

π

A

Surface area

cm²

r

d

Unit Conversion:

A

=

320cm²

Using the formula

A

=

4

π

r

2

Solving for

r

r

=

1

2

A

π

=

1

2

·

320

π

≈

5.04627cm

Step-by-step explanation:

Answer:

the answer is 5.05

Step-by-step explanation:

I hope it helps you

This are used to determine the maximum or minimum of a function. The vertex form of the function is given as y = 3(x+2)² - 5

This are used to determine the maximum or minimum of a function. Give the quadratic equation expressed as:
y = 3x² + 12x + 7

The vertex form of the function will be in the form y = a(x-h)² + k

Complete the square

y = 3(x² + 4x) + 7

y = 3(x² + 4x + 2² - 2²) + 7
y = 3(x+2)² - 3(4) + 7

y = 3(x+2)² - 5

Hence the vertex form of the function is given as y = 3(x+2)² - 5

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Answer:

1/8

Step-by-step explanation:

135 is 15 more than 120

15 is 12.5% of 120

0.125 as a fraction is 1/8

Hope this helped!

Harry would earn total money equal to $32.50 babysitting.

Since Harry charges 50% more for each additional hour as he did for the previous hour, then

he charges 1.5 or 3/2 times as much as he did for the previous hour.

Term Definition Money charge refers to a special expense entry and allows an administrator to track changes in a project's billing.

Harry charges $4 for the first hour.

Harry then charges

3/2 × $4 = $6 for the second hour.

Harry then charges 3

3/2 × $6 = $9 for the third hour.

Harry then charges 3

3/2 × $9 = $ 27/2 = $13.50 for the fourth hour.

Therefore, for 4 hours of babysitting

Harry would earn $4 + $6 + $9 + $13.50 = $32.50.

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[tex] \orange{\boxed{ \boxed{ \boxed{ \boxed{ \boxed{ \boxed{ \boxed{ \boxed{ \boxed{ \blue{{deenz \red{l}}}}}}}}}}}}}[/tex]

thanks

Answer:

the equation has infinitely amny solutions

The pie chart is the most useful diagram on that will present the proportion of each observation in relation to the total data set and a line graph that displays the trend or the behaviour of the data set, called a line graph.

A line graph is a graph made up of segments of straight lines that connect the depicted data points.

As we know, that pie chart is the most useful diagram on that will present the proportion of each observation in relation to the total data set.

From the definition of the line graph, the graph that displays the trend or the behaviour of the data set, called a line graph.

Thus, the pie chart is the most useful diagram on that will present the proportion of each observation in relation to the total data set and a line graph that displays the trend or the behaviour of the data set, called a line graph.

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Step-by-step explanation:

The system of equations for eq 1 which is 3x + y = 118 represents the Green High School which filled three buses(with a specific number of students identified as x) and a van(with a specific number of students identified as y) with a total of 118 students.

for eq 2; 4x + 2y = 164; represents Belle High School which filled four buses(with a specific number of students identified as x) and two vans(with a specific number of students identified as y) with a total of 164 students.

The solution represents the specific number of students in the buses and vans in eq1 and eq 2 with x being 36 students and y being 10 students.

substituting 36 for x and 10 for y in eq 1;

3(36) + 10 = 108 + 10 = 118 total students for Green High School

substituting 36 for x and 10 for y in eq2;

4(36) + 2(10) = 144 + 20 = 164 total students for Belle High school

Answer:

its: 583.875

Step-by-step explanation:

Please give me brainlist

Answer: x=23.25

Step-by-step explanation:

12-1/2(x-3)=1/4(2x+1)-10

4 ×12 -4×1/2(x-3)=4×1/4(2x+1)-10×4

48-2(x-3)=(2x+1)-40

48-2x+6=2x+1-40

48+6+40-1=2x+2x

93=4x

x=23.25

To solve this problem, we have to apply mole-concept to this and we would need the molar mass of AlCl3.  2g of AlCl3 contains 9.034*10^21 molecules.

The molar mass of AlCl3 is given as 133.34g/mol

Data;

Using the mole concept, we can equate the molar mass to the number of molecules present in the entity.

[tex]133.34g = 6.023*10^2^3[/tex]

If we equate this

[tex]133.34g = 6.023*10^2^3\\2g = x molecules\\x = \frac{2*6.023*10^2^3}{133.34} \\x = 9.034*10^2^1 molecules[/tex]

From the calculations above, 2g of AlCl3 contains 9.034*10^21 molecules.

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area=l×w

l=area/w

l=105/5

l=15

perimater=l+w

perimater=15+7

perimeter=22

The [tex]275th[/tex] digit after the decimal point in the repeating decimal [tex]0.6295[/tex] will be [tex]9.[/tex]

Decimal is one of the types of numbers, which has a whole number and the fractional part is separated by a decimal point.

It is given that [tex]0.6295[/tex] is a repeating decimal.

i.e. [tex]0.6295[/tex] repeats after [tex]4th[/tex] digit,

So, divide [tex]275[/tex] by [tex]4[/tex],

We get,

   [tex]=\frac{275}{4}[/tex]

We get, [tex]68[/tex] and [tex]3[/tex] as remainder.

So, the [tex]275th[/tex] number after the decimal point will be [tex]3rd[/tex] digit in [tex]0.6295[/tex] after decimal.

i.e. [tex]275th[/tex] number will be [tex]9[/tex].

Hence, we can say that the [tex]275th[/tex] digit after the decimal point in the repeating decimal [tex]0.6295[/tex] will be [tex]9.[/tex]

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