describe how (2^3)(2^-4) can be simplifed

Answer:

Step-by-step explanation:

[tex]a(-1, -4)\\b(3, 5)\\a + b(2, 1)[/tex]

The sum of the vectors is (2,1)

A vector exists as an object that has both a magnitude and a direction. Geometrically, we can imagine a vector as a directed line segment, whose length exists the magnitude of the vector and with an arrow suggesting the direction. The direction of the vector exists from its tail to its head.

(-1,-4) + (3,5)

( -1+3 , -4+5 )

( 2,1)

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Answer: 1.8 centimeters hope this helps i really need brainlist :)

Answer: answer is 1.8cm

Step-by-step explanation: take 18 and add a decimal in front then move it back 1

Answer:

slope = 7 and point = (3, 7)

b = y - slope*x

b = 7 -7 * 3

b = -14

Then we enter "b" and the slope into this equation:

y = 7x -14

Step-by-step explanation:

Final answer:

To find the number of calories in one cup, we double the amount of calories in a 1/2 cup serving. In this case, 250 calories are in 1/2 cup, so 500 calories are in one full cup.

Explanation:

To calculate the number of calories in one cup based on the given nutrition label, we can use a simple multiplication. Given that 1/2 cup contains 250 calories, we just need to double this amount, because 1 cup is equivalent to two servings of 1/2 cup each.

The equation to find the calories in one cup is:

Calories per 1/2 cup × 2 = Calories per cup

Therefore, the calculation would be:

250 calories × 2 = 500 calories

So, one cup of the food item contains 500 calories.

Answer:8048ft

Step-by-step explanation: A=2(wl+hl+hw) so 2(34*114)+(1*114)+(1*34)=8048

Answer:

[tex]3x^2 - 15x + 21\\or\,\,3(x^2 -5x +7)[/tex]

Step-by-step explanation:

First we will find sum of [tex](-9x^2-10x)\,\, and\,\, (3x^2+3x+7)[/tex]

Adding the like terms:

[tex]= -9x^2-10x + 3x^2 +3x+7\\= -9x^2+ 3x^2 -10x+3x+7\\= -6x^2 - 7x +7[/tex]

Now subtract (-9x^2+8x-14) from (-6x^2 - 7x +7)

[tex]=(-6x^2 - 7x +7) - (-9x^2+8x-14)\\= -6x^2 - 7x +7 +9x^2-8x+14\\= -6x^2 +9x^2 - 7x -8x+7 +14\\= 3x^2 - 15x + 21\\=3(x^2 -5x +7)[/tex]

A is the correct answer

Answer:

Step-by-step explanation:

The experimental probability is defined as the ratio between the number of time certain events occurs and the total number of trials.

In this case, there are 10 coin tosses. Notice that there are only two events where the lose three times, that means the probability is

[tex]P=\frac{2}{10}=\frac{1}{5}[/tex]

Which means that in two cases out of ten the lose three games.

Therefore, the right answer is A.

Answer:may be crazy but its 300.

Step-by-step explanation:

Answer:

300

Step-by-step explanation:

Area is multiplying the numbers together basically. 100*30=300.

Answer:

Step-by-step explanation:

If RSTU ≅ XWZY, then RS = XW, RU = XY, ST = WZ and TU = ZY.

RU = 2cm. Therefore XY = 2cm.

Answer:

C

Step-by-step explanation:

Substitute n = 8 into the explicit rule

[tex]a_{8}[/tex] = - [tex]\frac{1}{125}[/tex] × [tex]5^{7}[/tex]

                        = - [tex]\frac{1}{5^{3} }[/tex] × [tex]5^{7}[/tex]

                       = - [tex]5^{4}[/tex] = - 625 → C

Answer:

x = -4

x = -1

Step-by-step explanation:

We have been given the following quadratic equation;

x^2 + 5x + 4 = 0

We are required to determine the roots of the above quadratic equation via graphing.

To do this we formulate the following equations;

y = x^2 + 5x + 4

y = 0 (x -axis)

We then proceed to graph these functions on the same graph. The roots of the original quadratic equation will be the points where the graphs of the above functions will intersect.

The attachment below is the graphical solution obtained from desmos graphing tool;

The graph of the functions intersect at;

x = -4 and x = -1

These are the roots of the given quadratic equation

Answer:

[tex]\frac{8}{15}[/tex]

Step-by-step explanation:

The ways we can get "1 counter to be white out of 2 draws" is:

1. If 1st one taken out is white and next one different color, and

2. If 2nd one taken out is white and 1st one different color

In probability, AND means MULTIPLY and OR means ADD

Here, we are actually looking for ways of 1st one white, next one different OR first one different and next one white. Let's find them separately.

1. If 1st one taken out is white and next one different color

there are 6 white and 10 total, so 1st one white is 6/10

not replaced, so now there are 9 total and 4 of them are different,so different probabililty is 4/9

We multiply these two to get:  6/10 * 4/9 = 4/15

2. If 2nd one taken out is white and 1st one different color

probabilty 1st one different color is 4/10 since 4 are different and we have total of 10

since not replaced, now we have 9 total and still 6 white.

probability of white in 2nd draw is 6/9

We multiply these two to get:  4/10 * 6/9 = 4/15

Now we add these 2 as stated earlier, so 4/15 + 4/ 15 = 8/15

Answer:

Step-by-step explanation:

Answer:

the answer is D. 1.52

Step-by-step explanation:

you want to add all the numbers then divide by 10

15 + 15 + 17 + 18 + 18 + 18 + 19 + 20 + 20 + 21

                             10

then you find the difference between the mean and data point

Data point = 15    15    17    18     18     18     19    20    20     21

Mean Diff  = 3.1   3.1     1.1    0.1   0.1   0.1    .9      1.9    1.9    2.9

then add the differences

3.1 + 3.1 + 1.1  + 0.1 + 0.1  +  0.1 + .9 + 1.9 + 1.9  + 2.9 and divide by 10

                                    10

absolute deviation is 1.52 wings.

The solution is : the answer is D. 1.52 is the mean absolute deviation of the data set shown.

The mean can be calculated only for numeric variables, no matter if they are discrete or continuous. It's obtained by simply dividing the sum of all values in a data set by the number of values. The calculation can be done from raw data or for data aggregated in a frequency table.

here, we have,

we want to add all the numbers then divide by 10

15 + 15 + 17 + 18 + 18 + 18 + 19 + 20 + 20 + 21

__________________________________

                            10

then you find the difference between the mean and data point

Data point = 15    15    17    18     18     18     19    20    20     21

Mean Diff  = 3.1   3.1     1.1    0.1   0.1   0.1    .9      1.9    1.9    2.9

then add the differences

3.1 + 3.1 + 1.1  + 0.1 + 0.1  +  0.1 + .9 + 1.9 + 1.9  + 2.9    [and divide by 10]

_______________________________________

                                   10

=1.52

absolute deviation is 1.52 wings.

Hence, The solution is : the answer is D. 1.52 is the mean absolute deviation of the data set shown.

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Answer: Edgur eats 12 ounces of popcorn. Before he ate any, he had 2 pounds of popcorn. How much popcorn, in ounces, of popcorn does Edgur have now? Edgur has 20 ounces of popcorn.

Step-by-step explanation:

Pounds to ounces: 1 pound = 16 ounces.

2 * 16 = 32.

He ate 12 of those ounces. 32 - 12 = 20.

Final answer:

To solve a problem involving subtraction of pounds and ounces, convert everything to ounces, subtract, and convert back if necessary. In this example, after removing 3 pounds 5 ounces from 9 pounds 8 ounces, the remaining weight is 6 pounds 3 ounces.

Explanation:

Let's create a subtraction problem involving pounds and ounces. Imagine you have a sack of potatoes weighing 9 pounds 8 ounces, and you remove a bag of potatoes weighing 3 pounds 5 ounces. How much does the sack of potatoes now weigh?

First, we need to ensure that both weights are in the same units. We have:

Initial weight: 9 pounds 8 ounces

Weight removed: 3 pounds 5 ounces

To subtract these weights, we will convert pounds to ounces for each weight, then subtract, and finally convert back to pounds and ounces if necessary.

Convert 9 pounds to ounces: 9 × 16 = 144 ounces

Therefore, the initial weight in ounces is 144 ounces + 8 ounces = 152 ounces.

Convert 3 pounds to ounces: 3 × 16 = 48 ounces

The weight removed in ounces is 48 ounces + 5 ounces = 53 ounces.

Subtract the smaller weight from the initial weight: 152 ounces - 53 ounces = 99 ounces

Now we convert 99 ounces back to pounds and ounces. Since 1 pound is 16 ounces:

99 ÷ 16 = 6 pounds with a remainder of 3 ounces.

So, the sack of potatoes now weighs 6 pounds 3 ounces.

Answer:

x = 5

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of squares on the other 2 sides, that is

x² + 12² = 13²

x² + 144 = 169 ( subtract 144 from both sides )

x² = 25 ( take the square root of both sides )

x = [tex]\sqrt{25}[/tex] = 5

Answer:

x = 25

Step-by-step explanation:

We are given a right angled triangle and we are to find the value of x.

For that, we will use the Pythagoras Theorem.

[tex] 1 3 ^ 2 = x ^ 2 + 1 2 ^ 2 [/tex]

[tex] 1 6 9 = x ^ 2 + 1 4 4 [/tex]

[tex] x ^ 2 = 1 6 9 - 1 4 4 [/tex]

[tex] x ^ 2 = 2 5 [/tex]

Taking square root on both sides to get:

x = 25

There would be 3 basketballs?

3 basketball because subtract

Answer:

24,74

Step-by-step explanation:

the price with tax= 34 : 100 x 107= 36.38

( start price : 100% x 100% with the 7% tax)

now you can calculate the discount = 36.38 ; 100 x 68= 24.74

( start price : 100% x 68 because the full price is 100% but there goes 32 from off so 100-32 = 68)

A percentage is a way to describe a part of a whole. The final cost of the shirt is $24.74.

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

The original cost of the shirt is $34, now since a 32% discount is given the cost will be,

$34 - (32% of $34)

= $34 - $10.88

= $23.12

Further, 7% tax is paid on the cost of the shirt after the discount, therefore, the final cost will be,

Final cost = $23.12 + (7% of $23.12) = $24.74

Hence, the final cost of the shirt is $24.74.

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Answer:

-1.1+0.4i

Step-by-step explanation:

Multiply the numerator and the denominator by [tex]4+2i:[/tex]

[tex]\dfrac{-8+6i}{4-2i}\cdot \dfrac{4+2i}{4+2i}=\dfrac{-32-16i+24i+12i^2}{4^2-(2i)^2}\ \ [\text{use formula }a^2-b^2=(a-b)(a+b)]\\ \\=\dfrac{-32+8i-12}{16-4i^2}\ \ [\text{remember }i^2=-1]\\ \\=\dfrac{-44+8i}{16+4}\\ \\=\dfrac{-44+8i}{20}\\ \\=-\dfrac{11}{10}+\dfrac{4}{10}i\\ \\=-1.1+0.4i[/tex]

Answer:

−11

5

+

2

5

i

Step-by-step explanation:

Answer:

the one for the arrow point to #26 is min # in summary of data

the one where the arrow points between#30 and 32:  median

arrow pointing to #44 is: outlier

and the bottom choice is: mean

Step-by-step explanation:

P(B|A): P(A and B) / P(A)

P(A and B): P(A)•P(B) so 0.9 • 0.6 = 0.54

P(A|B): 0.54 / 0.9 = 0.6

Answer: D) 0.6

The value of the conditional probability is given by Bayes theorem and the value of P ( A | B ) = 0.1333

The likelihood that an event will occur based on the likelihood that a comparable outcome will occur in the future. The theorem offers a method for updating existing predictions or hypotheses in light of fresh or updated data. This is known as conditional probability.

Bayes Theorem states that based on past knowledge of circumstances that could be relevant to the occurrence, the Bayes Theorem estimates the likelihood of an event.

And , P ( A | B ) = [ P ( B | A ) P ( B ) ] / P ( A )

Given data ,

Let the conditional probability be represented as P

Now , the value of P ( A ) = 0.9

The value of P ( B ) = 0.6

The value of P ( B | A ) = 0.2

From the Bayes theorem , we get

P ( A | B ) = [ P ( B | A ) P ( B ) ] / P ( A )

On simplifying , we get

P ( A | B ) = [ 0.2 x 0.6 ] / 0.9

P ( A | B ) = 0.12 / 0.9

P ( A | B ) = 0.1333

Hence , the Bayes theorem is solved

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Answer:

Step-by-step explanation:

you need more information bu the stem-leaf is meant to split the number

Answer:

C

Step-by-step explanation:

Charlene has 8 more dollars so you would have to add it all together to get 86.

Answer:

The answer is A.

15 + 4 + 3 = 15 + 7

A. 3

First, simplify the equation. (x means the same thing as the symbol)

19 + x = 22

Subtract 19 from both sides of the equation.

x = 22 - 19

x = 3

There’s the answer!

Answer:

4x^2

Step-by-step explanation:

hope this helps :)

Answer:

ITS CCCCCCCCCCC (4x^2)

"1/4 of a package of pencils shared equally among three friends" this expression represents expression [tex]\frac{1}{4} /3[/tex].

What is Division?

The action of separating something into parts or the process of being separated is known as Division. Ex: "The division of the land into small fields"

The meaning of the given expression is to divide one fourth part into three persons.

This is clearly represents in option A....1/4 of a package of pencils shared equally among three friends.

Thus, option A express perfectly for the given expression [tex]\frac{1}{4} /3[/tex] as "1/4 of a package of pencils shared equally among three friends".

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Final answer:

The expression 1/4÷3 matches Scenario A, which represents 1/4 of a package of pencils being shared equally among three friends.

Explanation:

The expression 1/4÷3 represents taking one fourth of something and then dividing it into 3 equal parts. Out of the scenarios provided:

Therefore, the expression 1/4÷3 best matches with Scenario A, where 1/4 of a package of pencils is shared equally among three friends.

Answer:

There are supplementary

Step-by-step explanation:

The sum of the given angles is 180 degrees. So, the given angles are supplementary angles.

Important information:

We need to find the type of relationship between the given angles.

Two angles are called supplementary angles if their sum is 180 degrees.

The sum of given angles is:

[tex]161^\circ+19^\circ=180^\circ[/tex]

The sum of the given angles is 180 degrees. So, the given angles are supplementary angles.

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Answer:

By 0.75

Step-by-step explanation:

From the stem-and-leaf plot you can find James's scores:

79, 81, 83, 83, 83, 85, 85, 88, 94, 99.

The mode is 83 (most often score). If he drops his scores from the first two weeks, his mode score increases by 2. This means that the mode became 85 and the data looks like

79, 81, 83, 85, 85, 88, 94, 99.

Now find two means.

1. The old mean:

[tex]\dfrac{79+81+83+83+83+85+85+88+94+99}{10}=\dfrac{860}{10}=86;[/tex]

2. The new mean:

[tex]\dfrac{79+81+83+85+85+88+94+99}{8}=\dfrac{694}{8}=86.75;[/tex]

Thus, the mean will increase by 0.75.

Answer:

not one of those two...

Step-by-step explanation:

are there other options? when graphed on desmos it looks like this...

The graph of the given function f(x) = x² + 2x + 3 is attached with the answer. It is not from the given two options.

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

The given equation is quadratic f(x) = x² + 2x + 3 so the curve on the graph will be parabolic.

When we put the different values of x in the input function f(x) the output function varies in the form of the parabolic curve the equation is quadratic so it will give two solutions which cut the axis at the points ( 0,3) you can see in the attached graph.

I have attached the correct graph showing the given quadratic equation with the answer below.

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ANSWER

[tex](x - 5) ^{5} = {x}^{5} - 25 {x}^{4} + 250 {x}^{3} - 1250 {x}^{2} + 3125x- 3125[/tex]

EXPLANATION

From the Pascal's triangle,

The coefficients are :

1, 5, 10,10, 5,1

Because of the negative sign, the expansion will alternate sign.

[tex](x - y) ^{5} = {x}^{5} - 5 {x}^{4} y + 10 {x}^{3} {y}^{2} - 10 {x}^{2} {y}^{3} + 5x {y}^{4} - {y}^{5} [/tex]

We now put y=5 into the expansion to get,

[tex](x - 5) ^{5} = {x}^{5} - 5 {x}^{4} (5) + 10 {x}^{3} ( {5}^{2}) - 10 {x}^{2} ({5})^{3} + 5x( {5})^{4} - {5}^{5} [/tex]

[tex](x - 5) ^{5} = {x}^{5} - 25 {x}^{4} + 250 {x}^{3} - 1250 {x}^{2} + 3125x- 3125[/tex]

Answer:

(x - 5)^5 = x^5 - 25x^4 + 250x³ - 1250x² + 3125x - 3125

Step-by-step explanation:

The explanation in the attached file

Answer:

60

Step-by-step explanation:

Population size : 11

To calculate inter-quartile range

Step 1

1, 5 , 12 ,14 , 29 , 45 , 48, 61 , 72 , 84 , 96

Step 2

medium = 45

Step 3

Q1

1 , 5 , 12 ,14 , 29

median = 12

Q3

48 , 61 , 72 , 84 , 96

median = 72

Step 4

IQ = Q3 - Q1

    = 72 - 12

    = 60

Answer: 60

Step-by-step explanation: Apex said so