If 10^(2y) = 25, then 10^(y) equals:a. -1/5b. 1/625c. 1/50d. 1/25e. 1/5

Answer:

it can be A or B it doesn't matter because 25-5>10 and 20-5>10

Answer:

Move all terms not containing a to the right side of the inequality.
Inequality Form:
X> 15
Interval Notation:
(15

Step-by-step explanation:

come on now

\(\underset{\textit{like-bases with exponents}}{5^{11}\cdot 5^3\cdot 5^{17}}\implies \stackrel{\textit{add the exponents}}{\underset{\textit{keep the base}}{5^{11+3+17}}}\implies 5^{31}\)

Answer:

Step-by-step explanation:

Let x represent the number of seventh graders in the choir:

48=x/2

x=96

The system of equations where the combination of the candies gives you a total of 22 points are:

x + y = 9

2x + 3y = 22

To create the equations, we shall first define the variables:

x = the number of purple candies

y = the number of yellow candies

Next, we shall use the given information that purple candies are worth 2 points and yellow candies are worth 3 points.

Then, we would make sure that the total number of candies selected is 9.

The first equation represents the total number of candies selected:

x + y = 9

The second equation represents the total number of points obtained:

2x + 3y = 22

Therefore, the system of equations is:

x + y = 9

2x + 3y = 22

This is a system of linear equations.

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The quotient of  10⁻⁴/10² is 10⁻⁶

Quotient is the result obtained by dividing one quantity by another. It represents the value that is obtained after division.

For example, if you divide 20 by 2, the quotient is 10 because 20 divided by 2 equals 10.

Division law states that:

10ᵃ / 10ᵇ = 10ᵃ⁻ᵇ

In this case have:

10⁻⁴/10² = 10⁻⁴⁻²   (Division law)

10⁻⁴/10² = 10⁻⁶

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Answer:

= 34

Step-by-step explanation:

(32)-5+7

32 - 5 + 7

= 32 + 2

= 34.

The amount Howie need to pay back at the end of one year, including the interest is $26,000

Given:

Interest rate = 4%

Cost of car = $25,000

Time = 1 year

Amount of interest = Principal × Rate × Time

= 25,000 × 4% × 1

= 25,000 × 0.04 × 1

= $1,000

Amount to be paid = Amount of interest + Cost of car

= 1,000 + 25,000

= $26,000

Therefore, the amount Howie need to pay back at the end of one year, including the interest is $26,000

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The amount that Howie would need to pay back at the end of one year, including the interest for a car loan of $25,000 is $26,000.

Simple interest is a finance charge that does not compound.  It is calculated on the principal portion of a loan only.

The formula for computing simple interest is Principal x APR x Number of years.

Car loan = $25,000

Simple interest rate = 4%

Period of loan = 1 year

Principal + Interest for 1 year = $26,000 ($25,000 x 4% x 1).

Thus, the amount that Howie would need to pay back at the end of one year, including the interest for a car loan of $25,000 is $26,000.

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Answer:

27 hundredths

Step-by-step explanation:

.2 is in the tenths place,

.07 is in the hundredth place,

.27 is 27 hundredths

Answer:

27

Step-by-step explanation:

First decimal is tenths, then hundredths, then thousandths and so on

Answer:

the interest earned is $50.22.

the balance of the account is $975.22.

Step-by-step explanation:

a. To find the interest earned, we can use the formula:

Interest = Principal x Rate x Time

where the Principal is $925, the Rate is 2.3% expressed as a decimal (0.023), and the Time is 2.4 years.

Interest = $925 x 0.023 x 2.4

Interest = $50.22

Therefore, the interest earned is $50.22.

b. To find the balance of the account, we need to add the interest earned to the initial principal:

Balance = Principal + Interest

Balance = $925 + $50.22

Balance = $975.22

Therefore, the balance of the account is $975.22.

Answer:

6^5

Step-by-step explanation:

Answer:

6^5

Step-by-step explanation:

This is because the expression shown is showing 6 times itself 5 times

\(7+3i-3+9i=\boxed{4+12i}\)

Answer:

£1.44

Step-by-step explanation:

N1 = £0.12

N12 = 12 × N1 = 12 × £0.12 = £1.44

Answer:What is m?

Step-by-step explanation:

The number of degrees below zero is given by A = 56° F

Regardless of the sign, a modulus function returns the magnitude of a number. The absolute value function is another name for it.

It always gives a non-negative value of any number or variable. Modulus function is denoted as y = |x| or f(x) = |x|, where f: R → (0,∞) and x ∈ R.

The value of the modulus function is always non-negative. If f(x) is a modulus function , then we have:

If x is positive, then f(x) = x

If x = 0, then f(x) = 0

If x < 0, then f(x) = -x

Given data ,

Let the initial temperature be represented as T

Let the number of degrees below zero be A

Now , the value of T is

T = -56° F

From the modulus function , we get

The value of the modulus function is always non-negative.

So , the measure of A = | T |

A = | -56 |

A = 56° F

Hence , the number of degrees below zero is 56° F

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Answer:

Both answer is C

Step-by-step explanation:

30:20

3:2

Thus, (24/3)×2

=16 inch

Use the sam method by making ratio first, then compare to the second figures and substitute the value in first figure

The dot product of vectors a and b is option D. 30.

To find the dot product of two vectors, you need to multiply their corresponding components and then sum the results.

Let's calculate the dot product of vectors a = <5, 2> and b = <4, 5>:

a • b = (5 x 4) + (2 x 5)

= 20 + 10

= 30

Therefore, the dot product of vectors a and b is 30.

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The term that can be added to the list so that the greatest common factor of the three terms  12h3 36h3, 12h6, is 48h5

A group of numbers' greatest common factor (GCF) is the biggest factor that all the numbers have in common. For instance, 12, 20, and 24 all share two characteristics.

The term that  can fit in to the list so the GCF is 12h3 would be 48h5, this is so because 48 is first divisible by 12  without any  fraction, and we can remove upon dividing 3 h's from this term as it contains a total of 5 h's.

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By descriptive method = Set A is a set of all natural numbers between 5 and 50 which gives remainder 3 when divided by 8.Listing method : A = { 11, 19, 27, 35, 43} and Set builder method : A = { x : x ∈ N, x = 8 c + 3 and 1 < c < 5

We are given that:

Number range 5 - 50

Remainder = 3 when the number is divided by 8

We need to find the sets of numbers between 5 to 50 when they are divided by 8 gives remainder 3 by description method, listing method and set builder method.

Let the set be A

Descriptive Method

Set A is a set of all natural numbers between 5 and 50 which gives remainder 3 when divided by 8.

Listing Method

A = { 11, 19, 27, 35, 43}

Set Builder Method

A = { x : x ∈ N, x = 8 c + 3 and 1 < c < 5

Therefore, we get that, by descriptive method = Set A is a set of all natural numbers between 5 and 50 which gives remainder 3 when divided by 8.Listing method : A = { 11, 19, 27, 35, 43} and Set builder method : A = { x : x ∈ N, x = 8 c + 3 and 1 < c < 5

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Answer:

9 laps takes 5 minutes 25 seconds.

Step-by-step explanation:

Here is given:

4 laps takes 6 minutes 12 seconds.

We have to find how long 1 lap takes.

4/4 6/4 12/4 --> 1 lap takes 2 minutes 33 seconds.

Now, multiply each by 9 because you want to find 9 laps, so:

1x9 2x9 33x9 --> 9 laps takes 5 minutes 25 seconds.

Hope this helps :)

Answer:

22 and 10 minutes

Step-by-step explanation:

x+x+12= 32

2x+12= 32

2x= 20

x= 10 This is one game.

10+12= 22 This is the other game.

The rectangular form of the polar expression \(12(cos\pi+ isin\pi)\) is -12

The given equation is:

\(12(cos\pi+ isin\pi)\)

The above equation is in polar form

Note that:

\(cos \pi = -1\\\\sin\pi = 0\)

Substituting \(cos \pi = -1\) and \(sin \pi = 0\) into the expression \(12(cos\pi+ isin\pi)\) in order to get the rectangular form of the expression

\(12(cos\pi+ isin\pi)\)

=  12(-1   +   1(0))

=  12 ( -1  +  0)

=  12(-1)

=  -12

Therefore, the rectangular form of the polar expression \(12(cos\pi+ isin\pi)\) is -12

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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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By analyzing the graph and evaluating the objective function at each vertex of the feasible region, we can find the optimal solution, which is the vertex that maximizes the objective function z = 3x + y.

To find the optimal solution of the given problem using the graphical method, we need to plot the feasible region determined by the given constraints and then identify the point within that region that maximizes the objective function.

Let's start by graphing the constraints:

1. Plot the line 2x - y = 5. To do this, find two points on the line by setting x = 0 and solving for y, and setting y = 0 and solving for x. Connect the two points to draw the line.

2. Plot the line -x + 3y = 6 using a similar process.

3. The x-axis and y-axis represent the constraints x ≥ 0 and y ≥ 0, respectively.

Next, identify the feasible region, which is the region where all the constraints are satisfied. This region will be the intersection of the shaded regions determined by each constraint.

Finally, we need to identify the point within the feasible region that maximizes the objective function z = 3x + y. The optimal solution will be the vertex of the feasible region that gives the highest value for the objective function. This can be determined by evaluating the objective function at each vertex and comparing the values.

Note: Without a specific graph or additional information, it is not possible to provide the precise coordinates of the optimal solution in this case.

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Answer:

\(R =\frac{4}{4+1}(12 +8) -8\)

Step-by-step explanation:

Given

\(QS = (-8,12)\)

\(Ratio = 4 : 1\)

Required

Determine the expression that correctly uses \(\frac{m}{m+n}(x_2 - x_1) + x_1\)

In \(QS = (-8,12)\)

\((x_1,x_2) = (-8,12)\)

and

\(m:n = 4:1\)

Substitute these values in:

\(\frac{m}{m+n}(x_2 - x_1) + x_1\)

\(R =\frac{4}{4+1}(12 - (-8)) + (-8)\)

The expression becomes:

\(R =\frac{4}{4+1}(12 +8) -8\)

Solving further:

\(R = \frac{4}{5}(20)-8\)

\(R = \frac{4*20}{5}-8\)

\(R = \frac{80}{5}-8\)

\(R = 16 - 8\)

\(R = 8\)

Hence, R is at 8 on the number line

Answer:

(X+1)(x+5)

Step-by-step explanation:

Answer:

the zeroes are -5 and -1 so the factors are (x + 5)(x + 1)

Point H is the ortho-center of our given triangle and option c is the correct choice.

We have been given an image of a triangle. We are asked to find the term that describes point H.

We can see that point H is the point, where, all the altitudes of our given triangle EFF are intersecting.

We know that ortho-center of a triangle is the point, where all altitudes of triangle intersect. Therefore, point H is the ortho-center of our given triangle and option c is the correct choice.

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Answer:

Step-by-step explanation:

The inequality that represents Jenny's situation is:

600 - 20w > 300

To solve for w, we can start by subtracting 600 from both sides of the inequality:

-20w > 300 - 600

-20w > -300

Next, we can divide both sides by -20, remembering to reverse the direction of the inequality because we are dividing by a negative number:

w < (-300) / (-20)

w < 15

Therefore, the number of weeks that Jenny can continue to withdraw $20 from her account is less than 15. Since Jenny cannot withdraw a fractional number of weeks, the largest whole number of weeks that satisfies the inequality is 14.

Therefore, Jenny can continue to withdraw $20 from her account for 14 weeks while still keeping more than $300 in her account for college.

191 of adult plates and 81 child plates were sold.

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

Given,

Adult plate costs A= $8

Child plate costs C=$5

Total plates sold is 272

A+C=272..(1)

8A+5C=1,933..(2)

C=272-A

Substitute in equation 2

8A+5(272-A)=1933

8A+1360-5A=1933

1360+3A=1933

Subtract 1360 on both sides

3A=1933-1360

3A=573

Divide both sides by 3

A=191

Now substitute A value in 1

191+C=272

Subtract 191 on both sides

C=272-191

C=81

Hence, 191 of adult plates and 81 child plates were sold.

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