Create a table to show how the number of days is related to the number of hours. Show at least 5 days.

Answer:

13 and 15

OR

-15 and -13

Step-by-step explanation:

I suppose you want to find the value of the integers.

Let the smaller integer be x, and the larger be x + 2 (since they're both odd, the larger one is 2 more than the smaller)

(x)(x+2) = 195

x^2 + 2x = 195

x^2 + 2x -195 = 0

Using the quadratic formula,

x = 13 or -15

Since it did not mention whether the integers are positive or negative or both, x can be 13 or -15.

If x is 13, the 2 integers will be 13 and 15.

If x is -15, the 2 integers will be -15 and -13.

Answer:

Two consecutive odd numbers whose product is 195 is either 13 & 15 or -15 & -13.

Step-by-step explanation:

Two consecutive odd integers can be defined as: x and y.

A better way to define y is to say it = x+2, which means you have only one unknown.

We're told x*y = 195, so we can substitute y=x+2.

.

x(x+2) = 195

x^2 + 2x = 195

x^2 + 2x - 195 = 0

Factoring...

(x + 15)(x - 13) = 0

.

So, x can = -15 or 13.

.

Since the question does not say "positive consecutive odd numbers", we need to check both to ensure they're both solutions.

.

x = -15

y = x+2 = -13

(-13)*(-15) = 195

.

x = 13

y = x+2 = 15

13*15 = 195

Answer:

M=-1/2

Step-by-step explanation:

Answer: the 3rd is true the 1 st is none

Step-by-step explanation:

Answer:

-3/5

Step-by-step explanation:

goes down 3, right 5 :)

Answer:

x=2

Step-by-step explanation:

The Axis of Symmetry is when a line is put where it splits the parabola in the half perfectly. The vertex is where the parabola starts. The line x=2 is when it splits it into two congruent parts.

Jackson spent 4.60+p more than Tim in buying fruits.

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

Given that, two friends shop for fresh fruit. Jackson buys a watermelon for ​$7.85 and 3 pounds of cherries.

Let the variable p to represent the​ price, in​ dollars, per pound of cherries.

So, the total cost is 7.85+3p

Tim buys a pineapple for ​$3.25 and 2 pounds of cherries.

Here, the total cost is 3.25+2p

Difference in there price is 7.85+3p -(3.25+2p)

4.60+p

Therefore, Jackson spent 4.60+p more than Tim in buying fruits.

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Answer:

1.) y = 4x - 3

2.) y = -3x + 2

Step-by-step explanation:

I'm not really sure how to explain it super well, but I do know the answers

Answer:

smith fam

Step-by-step explanation:

Answer:

A. True

B. True

C. False

D. False

Step-by-step explanation:

A. 7 and 10 are the same angle, but on different sides.

B. 12 and 1 are the same angle, but on different sides.

C. Alternate interior angles would be 6 and 7.

D. Corresponding angles would be 6 and 2.

First Image: Alternate Interior

Second Image: Alternate Exterior

Third Image: Corresponding

Three parallel lines cut by a transversal a. ∠10 and ∠7, ∠9 and ∠8, ∠6 and ∠3, ∠5 and ∠4 are alternate interior angles.

d. ∠6 and ∠5 are corresponding angles.

We know when a transversal intersects two parallel lines at two distinct points,

Two pairs of interior and alternate angles are formed such that the measure of interior angles are same and the measure of alternate angles is also the same.

When a transversal intersects two parallel lines pair of alternating angles are equal, pair of interior angles are equal.

Given a transversal intersects three parallel lines,

∴ ∠10 and ∠7, ∠9 and ∠8, ∠6 and ∠3, ∠5 and ∠4 are alternate interior angles.

∠12 and ∠1 are alternate exterior angles.

∠6 and ∠5 are corresponding angles.

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Answer:

54°

Step-by-step explanation:

Here :-

Measure of 6 :-

Answer:

m<6 = m<2 = 54º

Step-by-step explanation:

13x + 9 + 5x + 9 = 180

18x + 18 = 180

18x = 180 - 18

18x = 162

x = 162 / 18

x = 9

13x + 9

13(9) + 9

126

180 - 126

54

m<6 = m<2 = 54º

The predicted selling price for an observed selling price of 233.1 and square footage of 1385 is $235.96 (thousands of dollars). The error is 1.24 and the squared error is 1.5376.

Selling price is the amount of money that a seller charges for a product or service. It is usually determined by factors such as the cost of materials, labor costs, overhead, and the desired profit margin. In some cases, the selling price may also be affected by factors such as the product's demand, competitive pricing, and market conditions.

The equation used to predict the selling price is Predicted Selling Price (Thousands of Dollars)=23.11 +0.15 Square Footage.
For the given data, we have
Observed Selling Price = 233.1
Square Footage = 1385

Therefore,
Predicted Selling Price (Thousands of Dollars) = 23.11 + 0.15*1385
= 23.11 + 207.75
= 230.86.

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If the  domain is{ -12,-7,0,4,12} and range is {0,1,2} then the function is  {(4, 1), (-7, 0), (12, 2), (0, 0), (-12, 1)}

The domain of a function is the set of values that we are allowed to plug into our function.

This set is the x values in a function such as f(x).

The range of a function is the set of values that the function assumes

domain is{ -12,-7,0,4,12} range is {0,1,2}

The function that has the given domain and range is:

{(4, 1), (-7, 0), (12, 2), (0, 0), (-12, 1)}

Therefore, the function is {(4, 1), (-7, 0), (12, 2), (0, 0), (-12, 1)}

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Which function has the following domain and range?

Domain: {-12, - 7, 0, 4, 12}

Range: {0, 1, 2}

O {(-12, 12), (0, 2)}

O {(4, 1), (-7, 0), (12, 2), (0, 0), ( − 12, 1)}

O {(-12, 0), ( – 7, 1), (0, 2), ( – 4, 5), (3, -1)}

O {(0,4), (2, 12), (1, -7), (0, - 12), (1, 0)}

hope this answer helps you dear...take care!

Answer:

  a) $12609.04

  b) $12879.28

  c) interest is compounded more often

Step-by-step explanation:

You want to know the future value of an annuity if $1200 per year is contributed for 7 years and interest is 12%. The first annuity has payments made and interest compounded 2 times per year. The second annuity has payments made and interest compounded 4 times per year.

You also want to know why the second annuity earns more than the first.

The future value of these annuities can be found using the annuity formula, or using a financial calculator. The formula is ...

  FV = P(n/r)((1 +r/n)^(nt) -1)

For a payment of 600 twice a year for 7 years at an interest rate of 12%, this is ...

  FV = 600(2/0.12)((1 +0.12/2)^(2·7) -1) = 600(21.01506593) ≈ 12,609.04

For a payment of 300 four times per year, the same calculation gives ...

  FV = 300(4/0.12)((1 +0.12/4)^(4·7) -1) = 300(42.93092252) ≈ 12,879.28

The future value of annuity A is equivalent to about 10.508 payments of $1200. That is, the interest effectively added 3.508 annual payments to the value paid in.

The future value of annuity B is equivalent to about 10.733 payments of $1200. The interest effectively added 3.733 annual payments to the value paid in.

The additional value comes from compounding interest more frequently.

For annuity B, the interest paid after 6 months is computed on both the account value and the interest that was paid after 3 months. The interest computation for annuity A is based only on the account value, so is a little less. That difference adds up over time.

The height of the shorter flagpole is 22.5 feet, given that the taller 30-foot flagpole casts a shadow of 20 feet and the shorter flagpole casts a shadow of 15 feet.

We have two flagpoles, a taller one and a shorter one. We are given the following information:

The taller flagpole is 30 feet tall, the taller flagpole casts a shadow of 20 feet, the shorter flagpole casts a shadow of 15 feet.

We want to find the height of the shorter flagpole, denoted as "h."

We can use the concept of similar triangles to solve this problem. Similar triangles have the same shape but can be different in size. In this case, the two flagpoles and their shadows form similar triangles.

Let's set up a proportion using the heights and shadows of the flagpoles: h / 15 = 30 / 20.

We know that the ratio of corresponding sides in similar triangles is equal. In this case, the ratio of the heights of the flagpoles is equal to the ratio of their shadows.

Now, we can solve the proportion to find the height of the shorter flagpole (h): h = (15 * 30) / 20

Simplifying the equation: h = 450 / 20

h = 22.5 feet. Therefore, the height of the shorter flagpole is 22.5 feet.

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The diameter of the circle is approximately 60 inches.

To explain further, we can use the formula relating the central angle of a sector to the length of its intercepted arc. The formula states that the length of the intercepted arc (A) is equal to the radius (r) multiplied by the central angle (θ) in radians.

In this case, we are given the central angle (225 degrees) and the length of the intercepted arc (30π inches).

To find the diameter (d) of the circle, we need to find the radius (r) first. Since the length of the intercepted arc is equal to the radius multiplied by the central angle, we can set up the equation 30π = r * (225π/180). Simplifying this equation gives us r = 20 inches.

The diameter of the circle is twice the radius, so the diameter is equal to 2 * 20 inches, which is 40 inches. Therefore, the diameter of the circle is approximately 60 inches.

In summary, by using the formula for the relationship between central angle and intercepted arc length, we can determine the radius of the circle. Doubling the radius gives us the diameter, which is approximately 60 inches.

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Answer:

55.00

Step-by-step explanation:

basically I subtracted 84.25 from 75.49 and I got 8.76. So I too kthat answer and subtracted 8.76 from 63.76. So the answer is 55.00

Answer: 3/4x - 1/2x -4=12

               1/4x - 4 = 12 x = 64

The volume of the cube of side length x - 2y is \(v = x^3 - 6x^2y + 12xy^2 - 8y^3\)

The length of the cube is given as:

s = x - 2y

The volume is given as:

\(v = s^3\)

So, we have:

\(v = (x -2y)^3\)

Evaluate the product

\(v = x^3 - 6x^2y + 12xy^2 - 8y^3\)

Hence, the volume of the cube of side length x - 2y is \(v = x^3 - 6x^2y + 12xy^2 - 8y^3\)

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The value of y = 24 and the value of x = 14

The two triangles That we have in the question are similar:

such that

∆JKL ~ ∆QRS

From basic triangle knowledge

Corresponding sides of similar figures have same ratio.

We will have to Use ratios to find the missing values.

In ortder to Find y:

QR/JK = QS/JL

such that

y/16 = 36/24

y/16 = 1.5

y = 16*1.5

Therefore we have

y = 24

Next we have to Find x using the similar method:

KL/RS = JL/QS

We have to input the values such that

x/21 = 24/36

x/21 = 2/3

x = 21*2/3

x = 14

Hence the value of y = 24 and the value of x = 14

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The equivalent equation to the (x² - 5)² - 3x² + 15 = -2 in form of 'm' is given by option c.  m² -3m + 2 = 0.

The equation is equal to,

(x² - 5)² - 3x² + 15 = -2

let the value of m be equals to x² - 5.

Simplify the equation we have,

⇒ ( x² - 5 )² - 3x² + 15 = -2

Take '3' common factor from the 3x² + 15 so that it get convert into x² - 5 we get,

⇒ ( x² - 5 )² - 3 (x² - 5 )  = -2

Now replace x² - 5 by m to get the equivalent equation,

⇒ ( m )² - 3 (m ) = -2

⇒ m² -3m + 2 = 0

Therefore, the equivalent equation to the given equation is written as option c.  m² -3m + 2 = 0.

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Answer:

KINDLY CHECK EXPLANATION

Step-by-step explanation:

The triangle Given is right angled :

Hence, the sum of the two angles = 90°

Hence, 2x + (x + 15) = 90

2x + x + 15 = 90

3x = 90 - 15

3x = 75

x = 75 / 3

x = 25

2x = 2 * 25 = 50

(x + 15) = 25 + 15 = 40

Hence, largest angle = angle Y

Largest side = side opposite largest angle = AD

smallest angle = (x + 15) = 40

Smallest side = side opposite smallest angle = AY

Y (b).

The function is given as,

It is asked to determine the output corresponding to the following inputs,

Substitute 902 for 'x' to obtain the corresponding output as,

Thus, the first output will be 160.

Now, substitute 202 for 'x' to obtain the corresponding output,

Thus, the second output will be 20.

Answer:

3/9 or 1/3 chance

Answer:

6

Step-by-step explanation:

the other marbles if you add them it equals to 6 so you have a 6 chance of picking it

Carman buy the video game in the cost of $45.

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

We have to given that;

Carman has saved 80% of the money she needs to buy a new video game.

And, she saved the cost $36.

Let total cost of the video game = x

So, We can formulate;

⇒ 80% of x = $36

⇒ 80/100 × x = 36

⇒ 8x = 360

⇒ x = $45

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Management of the Canine Gourmet Company wants the box-filling line to be set so that the process average weight per packet is **X grams**. To ensure that the process is in control, an inspector at the end of the filling line periodically selects a random box of packets and weighs each packet. When the process is in control, the range in the weight of each sample has averaged **Y grams**.

To maintain control over the filling line process and achieve the desired average weight per packet, several steps can be taken. First, it is essential to establish a target weight for each packet, which in this case is **X grams**. This target weight ensures consistency and meets the expectations of the discriminating canine customers.

To monitor the process and ensure it remains in control, the inspector randomly selects boxes of packets and weighs each individual packet. By calculating the range of weights within each sample, the inspector can determine the variability of the weights. In this case, the average range of **Y grams** is used as a benchmark to assess whether the process is within acceptable limits.

Maintaining the process within control limits is crucial to ensure consistent product quality and meet customer expectations. If the range of weights deviates significantly from the average range of **Y grams**, it may indicate that the process is out of control. In such cases, corrective actions need to be taken to investigate and address the underlying causes of the variability.

By continuously monitoring and adjusting the filling line, the Canine Gourmet Company can achieve the desired average weight per packet of **X grams**. This control ensures that the dog treats consistently meet the discriminating tastes of their canine customers and maintain the high standards of quality associated with the brand.

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A) The annual rate of change between 1993 and 2006 is approximately -1769.2308. B) The rate of change expressed in percentage form is approximate -176923.08%. C) The value of the car in the year 2010 would be approximately $3,462.

A) To find the annual rate of change between 1993 and 2006, we can use the formula:

Rate of change = (Final value - Initial value) / Number of years

Rate of change = ($15,000 - $38,000) / (2006 - 1993)

Rate of change = -$23,000 / 13

Rate of change ≈ -1769.2308 (rounded to 4 decimal places)

B) To express the rate of change in percentage form, we can multiply the rate by 100:

Rate of change in percentage = -1769.2308 * 100

Rate of change in percentage ≈ -176923.08% (rounded to 2 decimal places)

C) Assuming the car value continues to drop by the same percentage, we can calculate the value in the year 2010 by applying the rate of change to the value in 2006:

Value in 2010 = Value in 2006 * (1 + Rate of change)

Value in 2010 = $15,000 * (1 - 1769.2308%)

Value in 2010 ≈ $15,000 * 0.2308 ≈ $3,462.00 (rounded to the nearest 50 dollars)

Therefore, the value of the car in the year 2010 would be approximately $3,462.

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When Declan selects a pupil from the list at random 100 times, the estimation on the total number of times Declan selects a pupil who studies French is equal to 20 (times).

We have a table present above which shows the probability a pupil chosen at random studies Italian, French, Russian or German. Now, Declan randomly select a pupil from the list at 100 times. We have to estimate for the total number of times Declan will select a pupil that studies French. From the table, the probability to select a pupil who studies French = 0.2

So, Total number of times Declan will select a pupil that studies French

= 0.2 × 100

= 20 times

Hence, required estimation on total number of times is 20.

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Complete question:

The above table shows the probability a pupil chosen at random studies Italian, French, Russian or German.

Subject Italian French Russian German

Probability

Declan select a pupil from the list at random 100 times. Work out an estimate for the total number of times Declan will select a pupil that studies French