GIVING BRAINLIEST AND THE REST OF MY POINTS!!!!!!!!!!!!PLS HELPP :(

In which step does a mistake first occur? (24+3+10)-14+2
Step1: (8+10)-14+2
Step 2: 18-14+2
Step3: 4+2
Step 4: 2

The surface area of the triangular prism is 96 feet squared.

The figure above is a triangular prism. The surface area of the triangular base prism can be found as follows:

Hence,

surface area of the triangular base prism = (a + b + c)l + bh

where

Therefore,

surface area of the triangular base prism = (3 + 4 + 5)7 + (4 × 3)

surface area of the triangular base prism = (12)7 + 12

surface area of the triangular base prism = 84 + 12

surface area of the triangular base prism = 96 ft²

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Answer:

y = (x-2)² + 1

OR

y = x² - 4x + 5

Step-by-step explanation:

Use the vertex form equation of a parabola.

y = a(x-h)² + k

Where (h,k) is the turning point.

Sub in the vertex and one other point

y = a(x-2)² + 1

5 = a(0-2)² + 1

4a = 4

a = 1

Therefore the equation for this parabola is:

y = (x-2)² + 1

In standard form it is:

y = x² - 4x + 5

Answer:

35%

Step-by-step explanation:

The required percentage of the mocha cupcakes that were sold that day is 85%.

Given that,
A bakery sells mocha cupcakes and chocolate cupcakes. One day it sold 238 mochas and 42 chocolate. What percent of the cupcakes sold that day were mocha is to be determined.

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

Here,
Number of mocha cupcakes = 238
Number of chocolate cupcakes = 42
Total cupcakes = 238 + 42 = 280
Percentage of mocha sold = 238/280 = 0.85 or 85%

Thus,  the required percentage of the mocha cupcakes that were sold that day is 85%.

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Step-by-step explanation:

We can set up an equation for this line using slope intercept form:

\(y = mx + b\)

Where \(m\) is the slope of the line and \(b\) is the y-intercept (where the line cross the Y-axis at \(x = 0\)).

We know that the slope of the line is \(-4\) so we can plug that in for \(m\), but we don't know \(b\), so we'll have to use the given point \()(-6, -10)\) to help solve for it:

\(y = -4x + b\)

\(-10 = -4(-6) + b\)

\(-10 = 24 + b\)

\(b = -34\)

This means the equation of the line is \(y = -4x - 34\). Now we can plug in the point \((-9, s)\) and solve for \(s\):

\(y = -4x - 34\)

\(s = -4(-9) - 34\)

\(s = 36 - 34\)

\(s = 2\)

Answer:

irratrrational Numbers

whole

real

Step-by-step explanation:

Answer:x=4 y=3

Step-by-step explanation:

Let's solve your system by substitution.

2x−1=y+4;3y+1=3x−2

Step: Solve2x−1=y+4for y:

2x−1=y+4

2x−1+−y=y+4+−y(Add -y to both sides)

2x−y−1=4

2x−y−1+−2x=4+−2x(Add -2x to both sides)

−y−1=−2x+4

−y−1+1=−2x+4+1(Add 1 to both sides)

−y=−2x+5

−y

−1

=

−2x+5

−1

(Divide both sides by -1)

y=2x−5

Step: Substitute2x−5foryin3y+1=3x−2:

3y+1=3x−2

3(2x−5)+1=3x−2

6x−14=3x−2(Simplify both sides of the equation)

6x−14+−3x=3x−2+−3x(Add -3x to both sides)

3x−14=−2

3x−14+14=−2+14(Add 14 to both sides)

3x=12

3x

3

=

12

3

(Divide both sides by 3)

x=4

Step: Substitute4forxiny=2x−5:

y=2x−5

y=(2)(4)−5

y=3(Simplify both sides of the equation)

Answer:

please see analysis

Step-by-step explanation:

You can do this with a proportion. It takes 5/6 of a gallon to paint 1 wall and you want to know how much of a wall can you paint with 1/2 gallon. So set up the proportion:

5/6 / 1 = 1/2 / x

cross multiplying gets you 5/6x = 1/2

multiply by the reciprocal of 5/6 to isolate x - which is 6/5. 1/2 times 6/5 = 3/5

Answer:

y = -4x - 22

Step-by-step explanation:

m = -4

using (-6,2)

Slope-intercept: y = mx + b

2 = -4(-6) + b

2 = 24 + b

b = -22

y = -4x - 22

Answer:

9^9

Step-by-step explanation:

9^7×9^2

9^7+^2

^7+^2=9

9^9

Answer:

9⁹

Step-by-step explanation:

both bases are 9 thus the base stays the same

9=?

since we're multiplying we are gonna add the powers:

⁷+²=⁹

thus...

9⁷×9²

=9⁹

Hope this helped you- have a good day bro cya)

Answer:

-3q

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

5q + -8q

Step 2: Simplify

Answer:

Yes it has infinity of solutions.

Step-by-step explanation:

If you plug in certain numbers it will make the statements true.

Answer:

Infinitely many solutions.

Step-by-step explanation:

Let's solve your system by substitution.

2x+3y=−6;4x+6y=−12

Step: Solve2x+3y=−6for x:

2x+3y=−6

2x+3y+−3y=−6+−3y(Add -3y to both sides)

2x=−3y−6

2x/2 = −3y−6/2

(Divide both sides by 2)

x= −3/2y−3

Step: Substitute −3/2y−3 for x in 4x+6y=−12:

4x+6y=−12 4(−3/2y−3)+6y=−12

−12=−12(Simplify both sides of the equation)

−12+12=−12+12(Add 12 to both sides)

0=0

Answer:

Infinitely many solutions.

Answer:

$192

Step-by-step explanation:

160 = 100% or 1.00

20% = 0.2 + 1.00

       =  1.20

160 x 1.20 = $192

Answer:

$192

Step-by-step explanation:

$160 + 20% = $192

Answer:

A.

Step-by-step explanation:

1.5m + 6.5q > 100

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There are 3 dimes and 12 nickels

Two or more expressions with an Equal sign is called as Equation.

Given,

let x = the number of dimes

then  4x = the number of nickels =y

0.05(4x) = the value of the nickels

0.10x = the value of the dimes

Since the total value of the coins is $0.90 we can write the equation:

0.05(4x) + 0.1x = 0.90

0.2x + 0.1x = 0.90

0.3x = 0.90

Divide both sides by 0.3

x = 3

Hence, there are 3 dimes and 12 nickels

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Answer:

Step-by-step explanation:

Answer:

0.18

Step-by-step explanation:

The mean of the population can be estimated using the sample mean, which is the average of the data collected from a simple random sample. In this case, the sample data consists of the numbers 13, 15, 14, 16, and 12.

To find the sample mean, we add up all the values in the sample and divide it by the total number of values. In this case, the sum of the sample values is 13 + 15 + 14 + 16 + 12 = 70. Since there are 5 values in the sample, the sample mean is calculated as 70 / 5 = 14.

The sample mean is an estimate of the population mean. It provides information about the central tendency of the population based on the collected sample. In this case, the sample mean of 14 is an estimate of the mean of the entire population from which the sample was taken.

It's important to note that the sample mean may not be exactly equal to the population mean, but it provides a good estimate when the sample is representative of the population and selected through a random sampling method.

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The probability that Sue will sit next to Bob is 96/24 = 4. So, the odds are 4:1.

We need to find out the odds that Sue will sit next to Bob. There is a round table with five different people. Therefore, the total number of ways that five different people can be seated at a round table is (5 - 1)! = 4!.

Thus, there are 24 ways that these five different people can be seated around the table. Now, let's say Sue and Bob are sitting next to each other. Thus, there are 4! = 24 ways in which they can be seated around the table. Now, Sue and Bob can be treated as a single unit since they are sitting together. So, there are a total of 48 + 48 = 96 possible ways that Sue will sit next to Bob in a 5 person round table. There are 24 possible ways that 5 people can be seated around the table.

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y = (-1/2)x - 7/2 is the equation of the given point and slope.

To graph the point (3, -5) and a line with a slope of -1/2, we can use the point-slope form of a linear equation.

The point-slope form of a linear equation is given by:

y - y1 = m(x - x1)

where (x1, y1) represents a point on the line, and m represents the slope.

Plugging in the values, we have:

y - (-5) = (-1/2)(x - 3)

Simplifying:

y + 5 = (-1/2)x + 3/2

Subtracting 5 from both sides:

y = (-1/2)x + 3/2 - 5

y = (-1/2)x - 7/2

Now we have the equation y = (-1/2)x - 7/2, which represents a line with a slope of -1/2 passing through the point (3, -5).

To graph the line, plot the point (3, -5) on the coordinate plane and then use the slope to find additional points. For every 2 units you move to the right, move 1 unit down to find other points. Connect the plotted points to draw the line.

The resulting graph will show the point (3, -5) and a line with a slope of -1/2.

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Brain volume greater than 1,259.9 cm3 would be significantly (or unusually) high.

To determine what brain volume would be significantly high, we can use the concept of z-scores. A z-score measures how many standard deviations a particular value is from the mean.

The formula to calculate the z-score is:

z = (x - μ) / σ

where:

z is the z-score,

x is the observed value,

μ is the mean, and

σ is the standard deviation.

In this case, we want to find the z-score for a brain volume that is significantly high. We can rearrange the formula and solve for x:

x = μ + z * σ

Substituting the given values:

μ = 1,150.2 cm3 (mean)

σ = 54.9 cm3 (standard deviation)

z = ? (unknown)

Let's assume a z-score of 2. This means we are looking for a value that is 2 standard deviations above the mean. Plugging in the values:

x = 1,150.2 + 2 * 54.9

x ≈ 1,260

Therefore, a brain volume greater than approximately 1,259.9 cm3 would be significantly (or unusually) high.

Brain volumes greater than 1,259.9 cm3 would be considered significantly high compared to the given dataset.

2. Approximately 95% of women have platelet counts within two standard deviations of the mean.

In a bell-shaped distribution, approximately 95% of the data falls within two standard deviations of the mean if the data follows a normal distribution.

The range can be calculated as follows:

Lower bound = mean - 2 * standard deviation

Upper bound = mean + 2 * standard deviation

Substituting the given values:

mean = 281.4

standard deviation = 26.2

Lower bound = 281.4 - 2 * 26.2

Lower bound ≈ 229

Upper bound = 281.4 + 2 * 26.2

Upper bound ≈ 333.8

Therefore, approximately 95% of women have platelet counts within the range of 229 to 333.8.

Approximately 95% of women have platelet counts within two standard deviations of the mean, which is between 229 and 333.8.

3. Approximately 99.7% of body temperatures are within three standard deviations of the mean.

Explanation and Calculation:

In a bell-shaped distribution, approximately 99.7% of the data falls within three standard deviations of the mean if the data follows a normal distribution.

The range can be calculated as follows:

Lower bound = mean - 3 * standard deviation

Upper bound = mean + 3 * standard deviation

Substituting the given values:

mean = 98.99 oF

standard deviation = 0.43 oF

Lower bound = 98.99 - 3 * 0.43

Lower bound ≈ 97.7

Upper bound = 98.99 + 3 * 0.43

Upper bound ≈ 100.3

Therefore, approximately 99.7% of body temperatures are within the range of 97.7 oF to 100.3 oF.

Approximately 99.7% of body temperatures are within three standard deviations of the mean, which is between 97.7 oF and 100.3 oF.

4. The z-score for a value of 44.9 is approximately -7.23.

To find the z-score for a particular value, we can use the formula:

z = (x - μ) / σ

where:

z is the z-score,

x is the observed value,

μ is the mean, and

σ is the standard deviation.

Substituting the given values:

x = 44.9

μ = 103.81

σ = 8.48

z = (44.9 - 103.81) / 8.48

z ≈ -7.23

Therefore, the z-score for a value of 44.9 is approximately -7.23.

A z-score of approximately -7.23 indicates that the value of 44.9 is significantly below the mean in the given dataset.

5. The value of 268 pounds is unusual.

Given:

Mean weight = 134 pounds

Standard deviation = 20 pounds

Observed weight = 268 pounds

To determine the number of standard deviations away from the mean, we can calculate the z-score using the formula:

z = (x - μ) / σ

Substituting the given values:

x = 268 pounds

μ = 134 pounds

σ = 20 pounds

z = (268 - 134) / 20

z = 6.7

A z-score of 6.7 indicates that the observed weight of 268 pounds is approximately 6.7 standard deviations away from the mean.

The value of 268 pounds is considered unusual as it is significantly far from the mean in terms of standard deviations.

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Answer:

0.15%

Step-by-step explanation:

red is 3

the total is 20

percentage of red counters = 3 ÷ 20 = 0.15%

Step-by-step explanation:

2 is an even number so if everytime  u land on an even number u win $8 so we do this (8-2=6)

Answer:

D please mark brainliest

Step-by-step explanation:

Answer:

The answer to your question is D(-6, -3)

Step-by-step explanation:

The range of value of x in the inequality x/7 ≥ -6 is x≥ -42

Inequality, is a statement of an order relationship. Some terms used in inequality are ,greater than, greater than or equal to, less than, or less than or equal to. They are used between two numbers or algebraic expressions.

greater than has the sign >

greater than or equal to has the sign ≥

less than has the sign < and

less than or equal to has ≤

solving the range of value of x in the inequality x/7 ≥- 6

multiply both sides by 7

x ≥ -42

Therefore the range of value of x is x ≥ -42

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$329.25 goes towards the principal. The solution has been obtained by using the arithmetic operations.

What are arithmetic operations?

It is believed that the four fundamental operations, often known as "arithmetic operations," may explain all real numbers. Mathematical operations like division, multiplication, addition, and subtraction come before operations like quotient, product, sum, and difference.

We are given cost of car to be $19850 and sales tax to be 5%.

So, using the addition operation, we get

Cost of car = $19850 + 5%

Cost of car = $20,842.5

Since, down payment is of $1,000 so,

Remaining cost = 20,842.5 - 1000

Remaining cost = $19,842.5

Now,

Interest = (19,842.5 x .0585) ÷ 12

Interest = $96.73

So, using the subtraction operation, we get

Principal Amount = $425.98 - 96.73

Principal Amount = $329.25

Hence, $329.25 goes towards the principal.

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Answer:

  vertical asymptote: x = 3

  slant asymptote: y = x+5

Step-by-step explanation:

You want the vertical and slant asymptote of the graph of the rational function ...

  y = (x² +2x -3)/(x -3)

Using synthetic division (see the first attachment), we find the quotient to be (x+5) and the remaining rational function term to be 12/(x-3).

There is a vertical asymptote at the value of x where the denominator is zero: x = 3.

The slant asymptote is the polynomial part of the quotient:

  y = x +5

The asymptotes are the orange dashed lines in the second attachment.

<95141404393>

Answer:

Step-by-step explanation:

There are two polygons. The larger one has three times as many sides as the smaller one. Its angle sum is four times as big. How many sides does the smaller polygon have? (Need full solution)?

“Three times as many sides” means the larger polygon has a multiple of 3 sides. 3 is the fewest sides any polygon can have, so it has not less than 9 sides.

Its angle sum is four times the smaller one’s. This applies to interior angles.

A triangle’s sum is 180. A square’s is 360. A pentagon’s is 540. Any sum will be a multiple of 180, and equal to the number of sides minus two, then multiplied by 180.

A hexagon has 6 sides, so 4×180=720 degrees sum. That part fits the triangle, but we know that can’t be the answer because 3×3=9.

So start at 9.

7×180÷4 can’t be a multiple of 180. What we need is a multiple of 3 which is 2 greater than a multiple of 4.

18 fits that description.

The 18-gon’s interior sum is 16×180=2880, divide that by 4 to get 720, which is the hexagon’s sum.

18÷6=3, so we have a solution. The smaller polygon can be a hexagon.

We should check the next one though. Multiples of 3: 21, 24, 27, 30, 33, 36, 39, 42 (every 4th multiple of 3 will be 2 more than a multiple of 4).

So the 30-gon:

28×180=5040

5040÷4=1260

1260÷180=7

7+2=9

9×3=27

Off by 3.

The 42-gon:

((((((42–2)×180)÷4)÷180)+2)×3)=36

Off by 6. It will keep getting farther away, so we have a unique solution.

If the average rate of inflation over the last hundred years was 3.22%, the amount of money one hundred years ago would be equivalent to a million dollars today is approximately 968,805 dollars.

If the average rate of inflation over the last hundred years was 3.22%, we have to determine the amount of money one hundred years ago would be equivalent to a million dollars today.

We know that formula of inflation is:

inflation = (FP−IP)/IP × 100

where, IP stands for the initial basket price or price index.

FP stands for the basket's final price or the price index.

From the question, inflation = 3.22%, FP = 1,000,000

Now putting the values in the formula

3.22 = (1,000,000 - IP)/IP  × 100

Divide by 100 on both side, we get

0.0322 = (1,000,000 - IP)/IP

Multiply by IP on both side, we get

0.0322IP = 1,000,000 - IP

Add IP on both side, we get

1.0322IP = 1,000,000

Divide by 1.0322 on both side, we get

IP = 968,804.5

IP = 968,805(approx)

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The probability of getting all tails when flipping a coin three times can be calculated using the multiplication rule of probability. For each flip of the coin, there are two possible outcomes: heads or tails.

Assuming the coin is fair, both outcomes are equally likely, so the probability of getting tails on any one flip is 1/2.

P(all tails) = P(tails on first flip) x P(tails on second flip) x P(tails on third flip)

= (1/2) x (1/2) x (1/2)

= 1/8

Therefore, the probability of getting all tails when flipping a coin three times is 1/8 or 0.125 when expressed as a decimal rounded to four decimal places.

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Answer:

240

Step-by-step explanation: