3 When 25 x+2y-* x-12y+3) x-1ży+3) is simplified, what is the resulting expression? 1 Tox+23y+6 7. x+23y+6 x+85y+8 1 Tox+4*x+3​

Answer: It adds to your purchasing power.

Answer: It adds to your purchasing power

Step-by-step explanation:

Edmentum it's right.

Answer:

John is 29, Myles is 17.

Step-by-step explanation:

Answer:

same thing as other guy ty

Step-by-step explanation:

Answer:

Given: total of 810 miles

             Judy's miles = x

             Susan's miles = 2x

   Solution:  

Solve for Judy's miles

                            2x + x = 810 miles

                            3x = 810 miles

                            (transpose) x= 810 miles / 3

                            x = 270 (Judy drove 270 miles)

Solve for Susan's miles

                           2x = Susan's miles

                           2(270 miles) = 540 miles

  Answer:  Susan drove for 540 miles

Answer:

Given: total of 810 miles

Judy's miles = x

Susan's miles = 2x

  Answer: Susan drove for 540 miles

Step-by-step explanation:

Solution:  

Solve for Judy's miles

2x + x = 810 miles

3x = 810 miles

 (transpose) x= 810 miles / 3

x = 270 (Judy drove 270 miles)

Solve for Susan's miles

2x = Susan's miles

2(270 miles) = 540 miles

Answer:

False

Step-by-step explanation:

50% of 86 would be 43, 49% would be a bit lower then that.

Answer:

False, Its 42.14

Step-by-step explanation:

What is 49 percent of 86: 49 percent *86 = (49:100)*86 = (49*86):100 = 4214:100 = 42.14. Now we have: 49 percent of 86 = 42.14

The mean from a Histogram, table, and dot plot, it is not possible to determine the mean directly from a stem-and-leaf plot.

Out of the given options, the display of data for which it is not possible to find the mean is the stem-and-leaf plot.

A histogram displays data in the form of bars, where the height of each bar represents the frequency of data within a specific range. From a histogram, it is possible to calculate the mean by summing up the products of each value with its corresponding frequency and dividing it by the total number of data points.

A table presents data in a structured format, typically with rows and columns, allowing for easy calculation of the mean. By adding up all the values and dividing by the total number of values, the mean can be obtained from a table.

A stem-and-leaf plot organizes data by splitting each value into a stem (the first digit or digits) and a leaf (the last digit). While a stem-and-leaf plot provides a visual representation of the data, it does not directly provide the frequency or count of each value. Hence, it is not possible to determine the mean directly from a stem-and-leaf plot without additional information.

A dot plot represents data using dots along a number line, with each dot representing an occurrence of a value. Similar to a histogram and table, a dot plot allows for the calculation of the mean by summing up the values and dividing by the total number of data points.

In summary, while it is possible to find the mean from a histogram, table, and dot plot, it is not possible to determine the mean directly from a stem-and-leaf plot.

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Answer:

Because knowing the Order of operations is vital to completing an equation. Let's say I have an unknown linear equation. How would I solve that equation without first knowing where to start? That is why the order of operations is important.

Answer:

6 1/85

Step-by-step explanation:

Convert any mixed numbers to fractions.

Then your initial equation becomes:

146/5÷34/7

Applying the fractions formula for division,

146/5*7/34=1022/170

Simplifying 1022/170, the answer is

6 1/85

Answer:

70/17 hours or 4 2/17 hours

Step-by-step explanation:

The equation we use is 1/7 + 1/10 = 1/x, x being the time it took them together to build. x works out to 70/17 hours

Leah and her apprentice can build the wall together in 4 2/17 hours

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Hours required by Leah to build a wall = 7 hours

So , Leah builds ( 1/7 )th of the wall per hour

Hours required by apprentice to build a wall = 10 hours

So , Apprentice builds ( 1/10 )th of the wall per hour

When they are both building the wall together , they build
( 1/7 )th + ( 1/10 )th of the wall together per hour = 1 / x

Therefore , the equation will be

1/x = 1/7 + 1/10

1/x = 17 / 70

Taking reciprocal on both sides , we get

x = 70/17

x = 4 2/17 hours  

Hence , Leah and her apprentice can build a wall together in 4 2/17 hours

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Answer:

0.101

Explanation:

For the man:

• Weight = 180 lbs

• Time, t= 1 hour

• Number of beers, n=5

• g=0.68

Using the given formula, we have that:

The blood alcohol content is 0.101.

Answer:

\(\displaystyle \log\frac{1000z^2y^{\frac{1}{2}}}{(x+1)^2}\) OR \(\displaystyle 3+\log\frac{z^2y^{\frac{1}{2}}}{(x+1)^2}\)

Choose the more appropriate answer

Step-by-step explanation:

I read your problem as \(3+2\log z-\log(x^2+2x+1)+\frac{1}{2}\log y\):

\(\displaystyle 3+2\log z-\log(x^2+2x+1)+\frac{1}{2}\log y\\\\\log1000+\log z^2-\log(x+1)^2+\log y^{\frac{1}{2}}\\\\\log1000z^2-\log(x+1)^2+\log y^{\frac{1}{2}}\\\\\log\frac{1000z^2}{(x+1)^2}+\log y^{\frac{1}{2}}\\\\\log\frac{1000z^2y^{\frac{1}{2}}}{(x+1)^2}\)

Answer:

a)

0.3632 = 36.32% approximate probability that 15 or fewer turn right.

0.369 = 36.9% exact probability that 15 or fewer turn right.

b)

0.4801 = 48.01% approximate probability that at least two-thirds of those in the sample turn.

0.4868 = 48.68% exact probability that at least two-thirds of those in the sample turn.

Step-by-step explanation:

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

\(E(X) = np\)

The standard deviation of the binomial distribution is:

\(\sqrt{V(X)} = \sqrt{np(1-p)}\)

Normal probability distribution

Problems of normally distributed distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that \(\mu = E(X)\), \(\sigma = \sqrt{V(X)}\).

Vehicles entering an intersection from the east are equally likely to turn left, turn right, or proceed straight ahead.

This means that \(p = \frac{1}{3}\)

50 vehicles

This means that \(n = 50\)

Mean and standard deviation:

\(\mu = E(X) = np = 50\frac{1}{3} = 16.67\)

\(\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{50\frac{1}{3}\frac{2}{3}} = 3.33\)

a. 15 or fewer turn right.

Using continuity correction, this is \(P(X \leq 15 + 0.5) = P(X \leq 15.5)\), which is the pvalue of Z when X = 15.5. So

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{15.5 - 16.67}{3.33}\)

\(Z = -0.35\)

\(Z = -0.35\) has a pvalue of 0.3632

0.3632= 36.32% approximate probability that 15 or fewer turn right.

Using a binomial probability calculator, to find the exact probability, we get a 0.369 = 36.9% exact probability that 15 or fewer turn right.

b. at least two-thirds of those in the sample turn.

Turn either left or right, so:

\(p = \frac{1}{3} + \frac{1}{3} = \frac{2}{3}\)

The standard deviation remains the same, while the mean will be:

\(\mu = E(X) = np = 50\frac{2}{3} = 33.33\)

Two thirds of the sample is 33.33, so at least 34 turning, which, using continuity correction, is \(P(X \geq 34 - 0.5) = P(X \geq 33.5)\), which is 1 subtracted by the pvalue of Z when X = 33.5.

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{33.5 - 33.33}{3.33}\)

\(Z = 0.05\)

\(Z = 0.05\) has a pvalue of 0.5199

1 - 0.5199 = 0.4801

0.4801 = 48.01% approximate probability that at least two-thirds of those in the sample turn.

Using a binomial probability calculator, we find a 0.4868 = 48.68% exact probability that at least two-thirds of those in the sample turn.

Answer:

Solution given:

9x-4=8+7x[Vertically opposite angle]

9x-7x=8+4

2x=12

x=12/2

x=6

:.8+7x=8+7×6=50°

Answer:

50

Step-by-step explanation:

9x - 4 = 8 + 7x

x = 6

Therefore, 8 + (7 *6) = 50

The measure of the angle is 50

Thenks and mark me brainliest :)))

Answer:

D

Step-by-step explanation:

1 + 4x and 57° are corresponding angles and are congruent , so

1 + 4x = 57 ( subtract 1 from both sides )

4x = 56 ( divide both sides by 4 )

x = 14

Answer:

its B

Step-by-step explanation:

X:2

Y:4

Z:6

The values that best complete the chart as per the concept of ratio are X:2, Y:4, and Z:6.

To determine the correct values for the chart, let's analyze the given information about an object moving at a constant acceleration:

The first column represents time in seconds (0, 1, 2, 3).

The second column represents velocity in meters per second (0, X, Y, Z).

Since the object is moving at a constant acceleration, its velocity is changing by the same amount in equal time intervals.

We can use the formula for constant acceleration:

Velocity (V) = Initial Velocity (U) + (Acceleration × Time)

Given that the object starts from rest (initial velocity, U = 0), we can deduce the following:

At time 1 second (T = 1), the object's velocity is X m/s.

At time 2 seconds (T = 2), the object's velocity is Y m/s.

At time 3 seconds (T = 3), the object's velocity is Z m/s.

Based on this information, the correct values for the chart are:

X: 2 (Velocity at 1 second is 2 m/s)

Y: 4 (Velocity at 2 seconds is 4 m/s)

Z: 6 (Velocity at 3 seconds is 6 m/s)

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The measure of z in its simplest form is 3√11

We solve the triangle using pythagoras' theorem.

Pythagoras' theorem states that in any right angled triangle with sides a, b and hypotenuse side, c which is the longest side, the square of the hypotenuse side equal the sum of the squares of the other two sides.

So, according to Pythagoras' theorem,

c² = a² + b²

Since we have three right angled triangles, in the smallest right angled triangle, we have

z² = y² + 3²  (1)

In the next larger right angled triangle, we have

x² = y² + 27² (2)

In the largest right angled triangle, we have

(3 + 27)² = z² + x²

30² = z² + x² (3)

Substituting (2) into (3), we have

30² = z² + x²

30² = z² + y² + 27²

30² - 27² = z² + y²

900 - 729 = z² + y²

171 = z² + y²

z² = 171 - y² (4)

Equating (1) and (4), we have

y² + 3² = 171 - y²

y² + 9 = 171 - y²

y² + y² = 171 + 9

2y² = 180

y² = 180/2

y² = 90

Substituting y² into (1), we have

z² = y² + 3²

z² = 90 + 9

z² = 99

z = √99

z = 3√11

So, the measure of z is 3√11

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Answer: first answer 3, 2nd answer 10.

Step-by-step explanation:

I just did the question on acellus

The common ratio of the resulting sequence is 1.4.

Given that, the three terms are 60, 100 and 180.

A geometric sequence is a special type of sequence where the ratio of every two successive terms is a constant. This ratio is known as a common ratio of the geometric sequence.

Let the same constant is added to the given number is x.

60+x, 100+x and 180+x

Now, the common ratio is

(100+x)/(60+x) = (180+x)/(100+x)

⇒ (100+x)(100+x)=(180+x)(60+x)

⇒ (100+x)²=10800+180x+60x+x²

⇒ 10000+200x+x²=10800+180x+60x+x²

⇒ 10000+200x=10800+180x

⇒ 20x=800

⇒ x=40

The three number are 100, 140 and 220

The common ratio is 140/100 =1.4

Therefore, the common ratio of the resulting sequence is 1.4.

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Answer:

3f×16=36

Step-by-step explanation:

f(x)=2x×fx

(substitute

=3f×16

=36f

Answer:

2

Step-by-step explanation:

2*3+3*4 x 1/3 power 2

6+12 x 1/9

18 x 1/9

2 x 1 (because 9 and 18 are cutted by each other)

2

2

To evaluate the expression (2b+3a)×(c^2) when a=4, b=3, and c=1/3, we substitute the given values into the expression and perform the indicated arithmetic operations:

(2b + 3a) × (c^2)

= (2(3) + 3(4)) × ((1/3)^2) (substitute a=4, b=3, c=1/3)

= (6 + 12) × (1/9) (evaluate 2(3) + 3(4) and (1/3)^2)

= 18/9

= 2

Therefore, when a=4, b=3, and c=1/3, the expression (2b+3a)×(c^2) equals 2.

Answer:

Step-by-step explanation:

Question 1.

\(12x-4 > 5x+10\)

Move all terms containing \(x\) to the left side of the inequality.

Subtract \(5x\) from both sides of the inequality.

\(12x-4-5x > 10\)

Subtract \(5x\) from \(12x\).

\(7x-4 > 10\)

Move all terms not containing \(x\) to the right side of the inequality.

Add 4 to both sides of the inequality.

\(7x > 14\)

Divide each term in \(7x > 14\) by 7 and simplify.

The answer can be written as \(x > 2\) or (2,∞)

Question 2.

\((-4x+1)+6\geq8x +72\)

\(-4x+1+6\geq8x +72\)

Move all terms containing \(x\) to the left side of the inequality.

Subtract \(8x\) from both sides of the inequality.

\(-12x+7\geq 72\)

Move all terms not containing \(x\) to the right side of the inequality.

Subtract 7 from both sides of the inequality.

\(-12x\geq 65\)

Divide each term in \(-12x\geq 65\) by − 12 .

When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

\(\frac{-12x}{-12} \leq \frac{65}{-12}\)

The answer can be written as \(x\leq- \frac{65}{12}\)  or (−∞,−\(\frac{65}{12}\)]

Answer:

y = -2/3x + 6 (last option)

Step-by-step explanation:

A parallel line has the same slope as the original line. Since y = -2/3x+6 and y = -2/3x +1 have the same slope, the answer is the last option

Answer:

the last one.

Step-by-step explanation:

It has to have the same angular coefficient (-2/3 in this case)

The probability of 1. Favorite fruit is apple: 25/120 2. Favorite fruit is orange or grapes is 0. 458 3. Favorite fruit is apple and orange is 0.026 4. Favorite fruit is banana is 1/3.

Probability is a way to gauge how likely something is to happen. It is stated as a number between 0 and 1, with 0 denoting impossibility and 1 denoting certainty of the event.

The probability of an occurrence can be determined by dividing the number of possible outcomes by the number of ways the event could occur.

From the given bar graph we see that the total number of fruits are:

25 + 15 + 20 + 40  = 120

Now,

1. Favorite fruit is apple:

25/120

2. Favorite fruit is orange or grapes:

15/120 + 40/120 = 0.125 + 0.333 = 0. 458

3. Favorite fruit is apple and orange:

(25/120) (15/120) = 0.026

4. Favorite fruit is banana:

40/120 = 1/3

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The given cubic equation has no roots.

Traditionally, a cubic problem can be solved by converting it into a quadratic equation, which can then be solved by factoring or the quadratic formula. A cubic equation has three roots, just like a quadratic equation has two. Three real roots or one real root and two imaginary roots are both possible for a cubic equation. Cubic equations must also always be arranged in their standard form first.

The following strategies can be used to resolve a cubic equation:

Using Graphical Method to Find Integer Solutions with Factor Lists

Given that the cubic equation is: 8x²-5x³+7-12x

Regrouping the equation in standard form:

- 5x³ + 8x² - 12x + 7

Here, the constant is 7. Take the factors of the constant.

7 = 1, 7

Substitute the value of the factors as follows:

G(1) = - 5(1)³ + 8(1)² - 12(1) + 7 = -5 + 8 - 12 + 7 ≠ 0

G(7) = -5(7)³ + 8(7)² -12(7) + 7 = -1715 + 392 - 84 + 7 ≠ 0

Hence, the given cubic equation has no roots.

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Answer:

At 95% confidence limits for the true difference between the  average Miles per Gallon for the two models is -1.8210  to  4.1789

Yes 95 % confidence means  that there's conclusive evidence to indicate that one model gets a higher MPG than the other.

Step-by-step explanation:

                              Model A              Model B

Sample Size              50                          55

Sample Mean  x`         32                           35

Sample Variance  s²    9                            10

At 95 % confidence limits are given by

x1`-x2` ± 1.96 \(\sqrt{\frac{s^{2} }{n1} +\frac{s^{2}}{n2} }\)

Putting the values

32-35  ± 1.96  \(\sqrt\frac{9}{50}+\frac{10}{55}\)        ( the variance is the square of  standard deviation)

-3 ± 1.96 \(\sqrt{ \frac{495+500}{2750}\)

-3 ± 1.96( 0.6015)

-3 ± 1.17896

-1.8210; 4.1789

Thus the 95% confidence limits for the true difference between the  average Miles per Gallon for the two models is -1.8210  to  4.1789.

Yes 95 % confidence means  that there's conclusive evidence to indicate that one model gets a higher MPG than the other.

The amount of Bruno's yearly pay deducted for FICA is approximately

A. $4,524.15. The closest option provided is A. $4521.15.

To calculate the amount of FICA deducted from Bruno's yearly pay, we need to consider the specific FICA tax rates for Social Security and Medicare.

As of 2021, the Social Security tax rate is 6.2% on income up to a certain threshold, and the Medicare tax rate is 1.45% on all income.

Given that Bruno's gross income per pay period is $4925 and he is paid monthly, we can calculate the yearly gross income as follows:

Yearly gross income = $4925 * 12 = $59,100

To calculate the FICA deduction, we need to find the sum of the Social Security and Medicare taxes. Using the respective tax rates mentioned earlier:

Social Security deduction = $59,100 * 6.2% = $3,667.20

Medicare deduction = $59,100 * 1.45% = $856.95

Adding these two deductions together:

FICA deduction = $3,667.20 + $856.95 = $4,524.15

Therefore, the amount of Bruno's yearly pay deducted for FICA is approximately $4,524.15.

The closest option provided is A. $4521.15.

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Answer:

y =  -2*x² + 60*x

Step-by-step explanation:

The general form of a quadratic function is:

y = a*x² + b*x + c

We need to determine a  ;  b  ;  and c. For that we have three conditions therefore

Condition 1       at  x = 12 $ each T-shirts kimmie sells 36 units, then she gets

12* 36 = 432 $    or      y  =  432   and

432 = a(12)² + 12*b + c      or   432 = 144*a + 12*b + c

Second condition   selling at 13 $ each T-shirt  she sells 34 , then

13*34 = 442

442  = a(13)²  +  13*b  + c    or   442 = 169*a + 13*b + c

And the third condition

11*38  = 418

418 = a* ( 121)  + 11*b  + c         418  =  121*a  +  11*b  + c

We have a three equation system

432 =   144*a + 12*b + c         (1)

442  =   169*a + 13*b + c       (2)

418 =    121*a  +  11*b  + c       (3)

We need to solve it for a,  b  and  c

Subtracting (2) - (1)        10 = 25*a  +  b    and subtracting (2) - (3)

24 = 48*a  + 2*b

Then       b  =  10 -  25*a         and     24  =  48*a + 2*( 10 - 25*a )

24  =  48*a +  20  - 50*a

24 -  20  =   -2*a

4  =  - 2*a    

a  = - 2      and   b =  10 - 25*( -2)     b = 60

Finally  c   is:    432 =   144*a + 12*b + c  

432  =  144* ( -2) + 12*60  + c

432  = -  288  +  720  +  c

432  = 432  + c

c =  0

The quadratic function is:

y =  -2*x² + 60*x

Answer:

\(f(x) = \frac{1}{2}x + 5\)

Step-by-step explanation:

So you can generally express a linear function use the slope-intercept form as such: \(y=mx+b\) where m=slope, and b=y-intercept.

The y-intercept is defined as the value of f(0), since when the line crosses the y-axis, the x-value is 0, and as provided in the table that value is 5, so we have the function rule: \(f(x) = mx+5\)

The slope is defined as how much y-changes, as x increases by 1. We can generally use the formula: \(m=\frac{y_2-y_1}{x_2-x_1}\) and this can be found using any two points, since the slope is constant.

We can use the two points (0, 5) and (2, 6) and plug it into the equation, to find the rise/run

\(\frac{6-5}{2-0} = \frac{1}{2}\)

So plugging this into the slope-intercept form you get the function

\(f(x) = \frac{1}{2}x + 5\)

Answer: $14.27 per CD before tax

Step-by-step explanation:

0.60 times 6= 3.60

88.20 subtracted by 3.60 = 85.60

85.60/6 = 14.2666667

The concentration οf hydrοgen ions in a sοlution with pH 2.44 is \(2.754\times 10-12 M\)

The pH value is a measure οf the acidity or basicity of a solution. It is defined as the negative lοgarithm (base 10) of the concentration of hydrogen ions (H+) in moles per liter (mol/L) of solutiοn. The pH scale ranges from 0 to 14, where a pH of 7 is considered neutral. Solutions with a pH less than 7 are acidic, while solutiοns with a pH greater than 7 are basic οr alkaline.

a) Given pH = 2.44

We knοw  pH + pOH = 14,

pOH = 14 - 2.44 = 11.56

\([H+] = 10^{-pH} = 10^{-2.44} = 3.63\times 10 ^{-3} M\)

\([OH-] = 10-pOH = 10-11.56 = 2.754\times 10-12 M\)

b) Given ,pOH = 10.85

and it is knοwn that pH + pOH = 14, thus pH = 14 - 10.85= 3.15

\([H+] = 10^{-pH} = 10^{-3.15} = 7.07\times10^{-4 M}\)

\([OH-] = 10^{-pOH} = 10^{-10.85} = 1.41\times10^{-11} M\)

c) Given pH = -0.65

and it is knοwn that pH + pOH = 14, thus pOH = 14 +0.65 = 14.65

\([H+] = 10^{-pH} = 10^{0.65} = 4.466 M\)

\([OH-] = 10^{-pOH} = 10^{-14.65} = 2.23 \times10^{15} M\)

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Complete question:

Calculate the [H+] and [OH-] concentrations for the fοllowing solutions with: (a) pH = 2.44 (b) pOH = 10.85 (c) pH = -0.65