consider the expression log (250) al Use the change of base formula to rewrite los(250) in terms of common or natural Tomrithme Review Change of base formule B) Use a calculator to approximate the result in part to five decimal places

The measure of angle x from the given figure is 23°.

From the given figure, we can see one line is perpendicular to other.

A perpendicular is a straight line that makes an angle of 90° with another line. 90° is also called a right angle and is marked by a little square between two perpendicular lines as shown in the figure.

Here, 67°+x=90°

x=90°-67°

x=23°

Therefore, the measure of angle x from the given figure is 23°.

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Answer:

0.75

Step-by-step explanation:

-3-1.5/-4-2

-4.5/-4-2

-4.5/-6

0.75

Answer:

i. 2000 ii. 3500

Step-by-step explanation:

Since the absolute value of a number x, |x| = x if x > 0 and |x| = -x if x < 0,

i. Absolute value of Mountain Summit

Since the Mountain Summit elevation, x = 2000 - 0 = 2000, its absolute value = |2000| = 2000

ii. Absolute value of Mountain Overlook

Since the Mountain Summit elevation, x = -3500 - 0 = -3500, its absolute value = |-3500| = -(-3500) = 3500

As you would have noticed the pattern.

The pattern goes like :

1 to 4 = gap of 3

4 to 9 = gap of 5

9 to 16 = gap of 7

16 to 25 = gap of 9

You can observe the gap is increasing by 2 as the sequence progresses.

So the next term would be at the gap of 11 and the term would be 36.

There is another solution to this question :

1² = 1

2² = 4

3² = 9

4² = 16

5² = 25

So, next will be 6’s square = 36

So, second term is 7² = 49

Solve with any pattern, the answer will be 36.

Answer:

Im not pretty sure but i think thats the answer ^^

Number of bunches of flowers that can the florist make is 23 flowers

If 60% of the flowers in a bunch are lilies, then there are 40 x 0.6 = 24 lilies in each bunch.

That means there are 40 - 24 = 16 roses and carnations in each bunch.

The ratio of carnations to roses = 3 : 5

Let's call the number of carnations in each bunch "3x" and the number of roses in each bunch "5x". That means

3x + 5x = 16 (the total number of carnations and roses)

8x = 16

x = 2

So there are 3 x 2 = 6 carnations in each bunch.

If the florist has only 140 carnations, they can make 140 / 6 = 23.333... bunches of flowers. However, since they can't make a fraction of a bunch, the florist can only make 23 bunches of flowers.

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Answer:

TRUE: Stalk grew by 6.25 inches, stalk grew 25 inches in 4 weeks, quotient 25/4 equals growth per week

FALSE: 25 weeks stalk grew 4 inches

Can't determine: bag holds 25 stalks

The possible lengths x for the side of square A. The possible lengths x for the side of the square is the interval [-7,7].

Since the area of a square is given by the formula A = x^2, where x is the length of the side, we can solve for x to find the possible lengths of a square with area 49 square feet or less.

A ≤ 49

x^2 ≤ 49

|x| ≤ 7

So the possible lengths for the side of the square are any values of x between -7 and 7, inclusive.

Therefore, the answer is: A. The possible lengths x for the side of the square is the interval [-7,7].

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In the novel "Brave New World," when Lenina states, "Never put off until tomorrow the fun you can have today," Bernard replies, "Two hundred repetitions, twice a week from fourteen to sixteen and a half"

This comment means that he is promoting individuality. Bernard is the most noticeable of all the characters who consider the worth of individuality. He is small and awkward, and he is unhappy with the system's blind devotion to conformity and pleasure.

His rejection of this way of life is most visible in his reluctance to indulge in promiscuous sex and drugs, which are fundamental components of the citizens' happy lives.A major theme in Brave New World is the rejection of individuality in exchange for happiness.

The residents of the World State are only concerned with their personal comfort and pleasure, which they gain through mind-numbing activities like sex and drugs.

Bernard, on the other hand, rejects these activities and prefers solitude and his own thoughts. He thinks that individuality is essential, and he refuses to give in to the conditioning that the other citizens accept.

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Weight of a 24 square foot, 2 inch thick aluminum plate will be: 720 lbs.

A single unit's value can be determined from the values of multiple units, and multiple units' values can be determined from the values of single units using the unitary method.

Given:

To find: weight of a 24 square foot, 2 inch thick aluminum plate

Finding:

By unitary method, we get:

Weight of 1 square foot aluminum plate = 15 lbs.

Weight of 24 square foot aluminum plate = 15(24) lbs = 360 lbs.

Again, by unitary method, we get:

Weight of 1 square foot, 1 inch thick aluminum plate = 15 lbs.

Weight of 24 square foot, 1 inch thick aluminum plate = 15(24) lbs = 360 lbs.

Weight of 24 square foot, 2 inch thick aluminum plate = 360(2) lbs = 720 lbs.

Hence, Weight of 24 square foot, 2 inch thick aluminum plate = 720 lbs.

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Answer:

The solution of the system of equations be:

\(x=8,\:y=4\)

Hence, option C is true.

Step-by-step explanation:

Given the system of equations

\(\begin{bmatrix}4x+7y=60\\ -4x+7y=-4\end{bmatrix}\)

adding both the equations

\(-4x+7y=-4\)

\(+\)

\(\underline{4x+7y=60}\)

\(14y=56\)

so the system of equations becomes

\(\begin{bmatrix}4x+7y=60\\ 14y=56\end{bmatrix}\)

solve 14y for y

\(14y=56\)

Divide both sides by 14

\(\frac{14y}{14}=\frac{56}{14}\)

Simplify

\(y=4\)

\(\mathrm{For\:}4x+7y=60\mathrm{\:plug\:in\:}y=4\)

\(4x+7\cdot \:4=60\)

\(4x+28=60\)

Subtract 28 from both sides

\(4x+28-28=60-28\)

Simplify

\(4x=32\)

Divide both sides by 4

\(\frac{4x}{4}=\frac{32}{4}\)

\(x=8\)

Therefore, the solution of the system of equations be:

\(x=8,\:y=4\)

Hence, option C is true.

Answer:

0.26x + 16.9..........

Answer:

y=0.26x+16.9

explanation:

Answer:

$6.80

Step-by-step explanation:

1.79 x 3.8 = 6.802

So $6.80

The greatest common divisor of 6, 14, and 21 is 1, and it can be written as 6(0) 14(0) 21(1).

To find the greatest common divisor (GCD) of 6, 14, and 21 and write it in the form 6r 14s 21t, we can use the Euclidean algorithm.

Step 1: Find the GCD of 6 and 14.
- Divide 14 by 6: 14 ÷ 6 = 2 remainder 2
- Replace 14 with 6 and 6 with 2: Now we have 6 and 2.
- Divide 6 by 2: 6 ÷ 2 = 3 remainder 0
- Since the remainder is 0, the GCD of 6 and 14 is 2.

Step 2: Find the GCD of the result from step 1 (2) and 21.
- Divide 21 by 2: 21 ÷ 2 = 10 remainder 1
- Replace 21 with 2 and 2 with 1: Now we have 2 and 1.
- Divide 2 by 1: 2 ÷ 1 = 2 remainder 0
- Since the remainder is 0, the GCD of 2 and 21 is 1.

Therefore, the GCD of 6, 14, and 21 is 1. In the given form 6r 14s 21t, r would be 0, s would be 0, and t would be 1.

So, the GCD of 6, 14, and 21 is 1, and it can be written as 6(0) 14(0) 21(1).

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The cash back you would receive on your purchases of $2,738.21 using this credit card is $33.92.

To calculate the cash back you would receive using the given credit card, we need to multiply the total amount spent in each category by the corresponding cash back percentage, and then add up those amounts.

For gas purchases, you spent $134.92, so the cash back earned on that amount would be:

$134.92 x 3% = $4.05

For grocery store purchases, you spent $384.23, so the cash back earned on that amount would be:

$384.23 x 2% = $7.68

For all other purchases, you spent a total of:

$2,738.21 - $134.92 - $384.23 = $2,219.06

So the cash back earned on that amount would be:

$2,219.06 x 1% = $22.19

Adding up the cash back earned in each category, we get:

$4.05 + $7.68 + $22.19 = $33.92

∴ Cashback = $33.92

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The equivalent expression as per algebra tiles is 3x+3.

One group means (x 1)

or x    1

Three groups mean 3(x 1)

or x   1

   x    1

   x    1

Now, we have to write an equivalent expression.

Algebra tiles are mathematical manipulatives that allow students to better understand ways of algebraic thinking and the concepts of algebra.

For example, one can represent the variable part by any geometric object and add them to represent the addition of variables.

As per algebra tiles

Add integer to integer

So, x + x + x =3x

Add variable to variable

So, 1 + 1 +1 =3

So, 3(x 1) = 3x+3

Therefore, the equivalent expression as per algebra tiles is 3x+3.

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Answer:

your answer issss

Step-by-step explanation:

Model the expression as

✔ 3

groups of x + 1.

There are

✔ 3

x tiles.

There are

✔ 3

+ 1 tiles.

The equivalent expression is

✔ 3x + 3

.

Answer:

the answer are x=4y-20

and x represents the independent variable and y represents the dependent variable

Since none of the 13 classmates had been given math homework between the original survey and Kelly's second survey, the sum of the values in the second data set is the same as the sum of the values in the original data set. Therefore, the change in the means can be determined without calculating the mean of either data set by considering the number of data points in each set.

Since both data sets have the same number of data points, the change in the means will be zero. This is because the mean is calculated by dividing the sum of the values by the number of data points, and since the sum of the values is the same in both data sets, the means will also be the same.

In other words, if the mean of the first data set is x, then the sum of the values in the first data set is 13x (since there are 13 classmates), and the sum of the values in the second data set is also 13x (since none of the values have changed). Therefore, the mean of the second data set will also be x, and the change in the means will be zero.

The approximate solution to the equation is x = 0.857

From the question, we have the following parameters that can be used in our computation:

x - 8x + 6 = 0

Evaluate the like terms

So, we have

-7x + 6 = 0

Add -6 to both sides of the equation

-7x = -6

Divide both sides by -7

x = 6/7

Approximate

x = 0.857

Hence, the solution to the equation is x = 0.857

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Answer:

C {-2,3,7,9}

Step-by-step explanation:

C {-2,3,7,9}

This equation represents a straight line at an angle of π/6 radians from the positive x-axis -
- r = -2 represents graph C
- r = 3 represents graph B
- θ = 3π/4 represents graph D
- θ = 5π/12 represents graph E
- θ = π/6 represents graph F

The equation r = −2 represents graph C.
The equation r = 3 represents graph A.
The equation r = 5cos(θ) represents graph D.
The equation r = 3sin(2θ) represents graph F.

polar equations to their respective polar graphs, which are labeled A to F. Here is the detail ans:

The equation r = -2 represents graph C. This is because a negative radius in polar coordinates will form a circle with a radius of 2 in the opposite direction.

The equation r = 3 represents graph B. This equation corresponds to a circle with a radius of 3, centered at the origin.

For the remaining polar equations, we need the equations to match them with their graphs:

The equation θ = 3π/4 represents graph D. This equation represents a straight line at an angle of 3π/4 radians from the positive x-axis.

The equation θ = 5π/12 represents graph E. This equation represents a straight line at an angle of 5π/12 radians from the positive x-axis.

The equation θ = π/6 represents graph F. This equation represents a straight line at an angle of π/6 radians from the positive x-axis.

In summary:

- r = -2 represents graph C
- r = 3 represents graph B
- θ = 3π/4 represents graph D
- θ = 5π/12 represents graph E
- θ = π/6 represents graph F

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Answer:

6in lenght

Step-by-step explanation:

cause 30in square = 5 multiplied by 6 = 30

The z-score would be most useful if you want to know how many standard deviations from the mean a single score in a data set falls. So, the answer to the given question is option B) Az score.

The z-score is a standard score that indicates how many standard deviations an observation is from the mean. A z-score expresses the difference between a measurement and the mean in units of standard deviation. It is calculated as follows: Z-score= (score – mean) / standard deviation

The z-score is frequently utilized in statistics as an index of the likelihood that a result will occur. It is often utilized to determine whether a value is significantly different from the average. It is also known as a standard score or a normal deviate.

The z-score indicates how many standard deviations an observation is from the mean. A positive z-score indicates that the measurement is above the mean, whereas a negative z-score indicates that the measurement is below the mean. A z-score of zero indicates that the score is equal to the mean.

Hence, the answer to the given question is option B) Az score.

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Answer:

12 weeks

Step-by-step explanation:

540/45=12

Answer:

12 weeks

Step-by-step explanation:

540/45=12

The gas station serves 16 vehicles per hour, and 72 vehicles arrive in 4 hours. The vehicles will spend 4.50 hours at the gas station.



To find the total time the vehicles will spend at the gas station, we need to calculate the total number of vehicles that arrive and then divide it by the rate at which the gas station serves vehicles.

Given:

Arrival rate: 18 vehicles per hour

Service rate: 16 vehicles per hour

Time: 4 hours

First, let's calculate the total number of vehicles that arrive during the 4-hour period:

Total number of vehicles = Arrival rate * Time

                      = 18 vehicles/hour * 4 hours

                      = 72 vehicles

Since the gas station can serve 16 vehicles per hour, we can determine the time it takes to serve all the vehicles:

Time to serve all vehicles = Total number of vehicles / Service rate

                         = 72 vehicles / 16 vehicles/hour

                         = 4.5 hours

Therefore, the vehicles will spend 4.5 hours at the gas station. Rounded to 2 decimal places, the answer is 4.50 hours.

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The matching of definitions and terms are done below.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Match the verbal expression (term) with its algebraic expression (definition).

Some number increased by two ⇒ b + 2

A variable decreased by two ⇒ x – 2

Product of an unknown value and two ⇒ 2z

Quotient of some number and two ⇒ a ÷ 2

An unknown value squared ⇒ y²

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First, we want to note two things:

We can describe this with an inequality:  x ≥ -10
Be sure you use ≥ and not >, since -10 is included.

We can describe this with interval notation: [ -10, infty )
Be sure you use [ and not ( on -10, since -10 is included.

You can also use set-builder notation: { x | x ≥ -10 }