7. Two friends worked out on treadmills at the gym. Laura walked 7 miles in
1.75 hours. Ricki walked 12 miles in 2 hours. How much faster did Ricki
walk? *
0.25 mile per hour faster
2 miles per hour faster
They walked the same speed.
He didn't, Leo walked faster.

Present value of the quarterly payments of $1,635 at 4.2% compounded quarterly over a 3 year period is $18,344

percentage, a relative value indicating hundredth parts of any quantity.

The present value of the quarterly payments of $1,635 at 4.2% compounded quarterly over a 3 year period is calculated as follows:

Present Value = $1,635 × PVIFA ( 4.2%/4 ,3 Years)

Present Value = $1,635 × PVIFA (1.05% ,12)

= $1,635 × 11.21960

= $18,344

The present value of the quarterly payments of $1,635 at 4.2% compounded quarterly over a 3 year period is $18,344

Hence, present value of the quarterly payments of $1,635 at 4.2% compounded quarterly over a 3 year period is $18,344

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Answer:

hope this helps

Step-by-step explanation:

Let a , b , c are three sides of a triangle

a : b : c = 3 : 4 : 5

a = 3x ,

b = 4x ,

c = 5x

a² = 9x²

b² = 16x²,

c² = 25x².

c² = a² + b²

by the pythagorean theorem,

a , b , c forms a right angled Triangle.

Answer:

yes it's a right angle triangle

Step-by-step explanation:

Given the sides are in the ratio 3:4:5.

Let ABC be the given triangle.

Let the sides be 3x,4x and hypotenuse be 5x.

According to Pythagoras theorem,

AC

2

=BC

2

+AB

2

BC

2

+AB

2

=(3x)

2

+(4x)

2

=9x

2

+16x

2

=25x

2

AC

2

=(5x)

2

=25x

2

AC

2

=BC

2

+AB

2

Hence ABC is a right angled triangle

Answer:

Not similar

Step-by-step explanation:

For a rectangle you would make a equation with length a over length b equalibg width a over width b. I'll use the problem and show it in an equation below.

\( \frac{12}{24} = \frac{8}{18} \)

There are a few ways to solve this, 1, by simplifying, and the other cross multiplying. I like cross multiplying more, so I'll explain it like that. To cross multiply you multiply the numerator of one fraction by the denominator of the other.

\(12 \times 18 = 216 \\ 24 \times 8 = 192\)

Because these values are not equal, the rectangles are not similar.

The revenue, the company should manufacture approximately 4,800 units of racing bicycles and 1,200 units of mountain bicycles.

To find the values of x and y that maximize the revenue, we need to optimize the given revenue function R = -6x^2 - 10y^2 - 2xy + 32x + 84y. The revenue function is a quadratic function with two variables, x and y. To find the maximum value, we can take partial derivatives with respect to x and y and set them equal to zero.

Taking the partial derivative with respect to x, we get:

∂R/∂x = -12x + 32 - 2y = 0

Taking the partial derivative with respect to y, we get:

∂R/∂y = -20y + 84 - 2x = 0

Solving these two equations simultaneously, we can find the values of x and y that maximize the revenue.

From the first equation, we can express x in terms of y:

x = (32 - 2y)/12 = (8 - 0.5y)

Substituting this value of x into the second equation, we get:

-20y + 84 - 2(8 - 0.5y) = 0

-20y + 84 - 16 + y = 0

-19y + 68 = 0

-19y = -68

y = 68/19 ≈ 3.579

Plugging this value of y back into the expression for x, we get:

x = 8 - 0.5(3.579)

x ≈ 4.711

Since x and y represent thousands of units, the company should manufacture approximately 4,800 units of racing bicycles (x ≈ 4.711 * 1000 ≈ 4,711) and 1,200 units of mountain bicycles (y ≈ 3.579 * 1000 ≈ 3,579) to maximize the revenue.

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To find P(Y ≤ X + 1), we need to set up a double integral with the correct limits. First, let's sketch out the region using the support from part a.

From part a, we know that the region is defined by the inequalities 0 ≤ X ≤ 1 and 0 ≤ Y ≤ X. This forms a triangular region in the XY-plane.

To set up the double integral, we integrate over this region. The limits for the outer integral will be from 0 to 1, which corresponds to the limits of X.

For the inner integral, the limits will be from 0 to X + 1, since we want to find P(Y ≤ X + 1). This corresponds to the limits of Y.

Therefore, the double integral that needs to be solved is ∫∫R f(x, y) dy dx, with the limits of integration as follows:

Outer integral limits: 0 to 1 (X)
Inner integral limits: 0 to X + 1 (Y)

In conclusion, to find P(Y ≤ X + 1), you need to set up the double integral ∫∫R f(x, y) dy dx, with the limits as mentioned above.

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No, X or y-axis scale does not have to always start at zero. In a line chart, it's OK to start the axis at a number other than zero

A line that is used to take or mark measurements is known as an axis in mathematics. Two crucial axes of the coordinate plane are the x and y axes. A horizontal number line is the x-axis, while a vertical number line is the y-axis. The coordinate plane is created by the perpendicular intersection of these two axes.

Given,

No, X or y-axis scale does not have to always start at zero.

A line chart encodes data using location (x, y coordinates), whereas a bar chart represents data using length. In a line chart, it's OK to start the axis at a number other than zero despite many claims that they are always misleading since this minute difference influences how a reader utilizes the chart.

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Answer:

2.35cm

Step-by-step explanation:

Given data

Volume= 124cm^3

Height= 7.1cm

The expression for the volume of a cylinder is given as

V= πr^2h

substitute

124=3.142*r^2*7.1

124=22.3082r^2

r^2= 124/22.3082

r^2= 5.55

r= √5.55

r=2.35cm

Hence the radius of the cylindrical bottle is 2.35cm

Answer:

So all the ingredients need to be used three times so 642 flour, baking soda 3 teaspoons, same for vanilla, salt 36 teaspoons, butter 3 cups, granulated sugar 102 cups, same for brown sugar, 3 eggs, choco chips 6 cups

The trigonometric function gives the ratio of different sides of a right-angle triangle. The value of sine and cosine will be always less than a unit.

In a unit circle, the radius of the circle represents the hypotenuse of the triangle. Since the hypotenuse is the largest side of the triangle, the ratio of the perpendicular to the hypotenuse and the base to the hypotenuse both will be less than the hypotenuse, therefore, 1. Hence, the value of sine and cosine will be always less than a unit.

In construction, we use trigonometry. For figuring areas of triangular shapes, similar to many concepts and phenomena in mathematics.

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2 - 300 calories

3 - 1260 calories

6 - 20g

7 - 70mg

4 Wrong Answers

\(Correct = 11*4=44\)

\(Incorrect = Correct - 40 = 4\)

When compared to other scheduling methods for real-time systems, EDF is quite effective. It can maintain all work deadlines while increasing CPU utilization to around 100%.

The earliest deadline first (EDF) algorithm is a dynamic priority scheduling algorithm that is used in real-time systems.

EDF is an optimal algorithm, it will schedule a task set if possible. EDF is also independent of the task's period and can be used to schedule aperiodic tasks because it makes no assumptions about job periodicity. If two jobs have the same absolute deadline, choose one at random.

When compared to fixed priority scheduling techniques such as rate-monotonic scheduling, EDF can guarantee all system deadlines at higher loading. On non-preemptive uniprocessors, EDF is also an optimal scheduling algorithm, but only among scheduling algorithms that do not allow inserted idle time.

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Answer:

1 pizza is 18 dollars

Step-by-step explanation:

The cost of a pizza will be;

⇒ $18

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The Kennedy Middle School cafeteria charges students $3 for 1/6 of a pizza.

Now,

Since, The Kennedy Middle School cafeteria charges students $3 for 1/6 of a pizza.

Hence, The cost of a pizza = $3 × 6

                                         = $18

Thus, The cost of a pizza will be;

⇒ $18

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Step-by-step explanation:

3.2

hope it helps .

stay safe healthy and happy.

\(\huge\text{Answer:}\)

\(\mathrm{The~number~is~3.2.} :)\)

\(\huge\text{Step-by-step explanation:}\)

Hi! Hope you are having a fantastic day! :)

Let's say the number is t.

The difference of 5t and 9 is 25. What is t?

\(\rm{5t-9 = 25\)

Add 9 to both sides:

\(\rm{5t=34}\)

Divide both sides by 5:

\(\rm{t=3.2\)  (Answer)

Hope you find it helpful.

Fee free to ask if you have any doubts.

\(\bf{-MistySparkles^**^*\)

Using the simplex method, the optimal solution for the given linear programming problem is x = 2, y = 2, z = 0, with the maximum objective value of P = 10.



a. To rewrite the formulation in standard form, we need to replace the inequalities with equality constraints and introduce non-negative variables. Let's assume x, y, and z as the non-negative variables:

Maximize P = 3x + 2y + 4z

Subject to:2x + y + z + s1 = 8

x + 2y + 3z + s2 = 10

x, y, z ≥ 0

b. Utilizing the linear programming simplex method, we can solve the above formulation. After setting up the initial tableau, we perform iterations by selecting a pivot element and applying the simplex algorithm until an optimal solution is reached. The algorithm involves row operations to pivot the tableau until all coefficients in the objective row are non-negative. This ensures the optimality condition is satisfied, and the maximum value of P is obtained.

To provide a brief solution within 120 words, we determine the optimal solution by applying the simplex method to the above formulation. After performing the necessary iterations, we find that the maximum value of P occurs when x = 2, y = 2, z = 0, with P = 10. Therefore, the maximum value of P is 10, and the solution for the given problem is x = 2, y = 2, and z = 0.

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Answer: -3 + 3x/2 i believe this is the answer

Step-by-step explanation:

Answer: If the question is asking to make it into slope-intercept form then the answer is y= -3x/2 + 3

Step-by-step explanation:

To find the estimated project completion time for the given project activities, we need to first calculate the earliest start and earliest finish times and then the latest start and latest finish times.

Using the activity times given, we can calculate the earliest start and earliest finish times for each activity as follows: Activity A: Earliest start time = 0

Earliest finish time = 1

Activity B: Earliest start time = 2

Earliest finish time = 5

Activity C: Earliest start time = 5

Earliest finish time = 11

Activity D: Earliest start time = 11

Earliest finish time = 17

Activity E: Earliest start time = 5

Earliest finish time = 8 Activity F:

Earliest start time = 8

Earliest finish time = 17

Now we can calculate the latest start and latest finish times for each activity using the backward pass.

Latest finish time = 5

Latest start time = 2

Activity A: Latest finish time = 1

Latest start time = 0

Now we can calculate the slack time for each activity as follows:Activity A:

Slack time = 0

Activity B: Slack time = 0

Activity C: Slack time = 0

Activity D: Slack time = 0

Activity E: Slack time = 3

Activity F: Slack time = 0

The critical path for this project is A -> C -> D, since these activities have zero slack time. Therefore, the estimated project completion time is 17 units of time.

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Applying the properties of similar triangles, the other side lengths of ΔDEF are: B. 9 and 12

The ratio of the corresponding sides two triangles that are similar to each other are the same/equal.

here, we have,

Given that ΔABC and ΔDEF are similar triangles, therefore:

Let, a = 6, b = 8, and c = 12 be the sides of ΔABC.

Let, x, y, and z be the sides of ΔDEF.

Let z = 18

Thus:

a/x = b/y = c/z

Substitute

6/x = 8/y = 12/18

Find x using 6/x = 12/18:

6/x = 12/18

Cross multiply

x = 18*6/ 12

x = 9

Find x using 8/y = 12/18:

8/y = 12/18

Cross multiply

x = 18*8/12

x = 12

Therefore, applying the properties of similar triangles, the other side lengths of ΔDEF are: B. 9 and 12

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The statement "if p is less than alpha, reject the null hypothesis" is referring to hypothesis testing in statistics. In hypothesis testing, we compare the p-value (probability value) to a pre-determined significance level called alpha (α). The significance level is typically set to 0.05 or 0.01.

Here's a step-by-step explanation of what this statement means:
1. The null hypothesis (H₀) assumes that there is no significant difference or relationship between variables.
2. The alternative hypothesis (H₁) assumes that there is a significant difference or relationship between variables.
3. We conduct a statistical test and obtain a p-value, which represents the probability of obtaining a result as extreme as the one observed, assuming the null hypothesis is true.

4. If the p-value is less than the significance level (alpha), we reject the null hypothesis. This means that the observed result is unlikely to have occurred by chance, and we have evidence to support the alternative hypothesis.
5. If the p-value is greater than or equal to alpha, we fail to reject the null hypothesis. This means that the observed result could reasonably have occurred by chance, and we do not have enough evidence to support the alternative hypothesis.

For example, if we set alpha to 0.05 and obtain a p-value of 0.02, which is less than 0.05, we would reject the null hypothesis. This suggests that the observed result is statistically significant and supports the alternative hypothesis. However, if the p-value is 0.06, which is greater than 0.05, we would fail to reject the null hypothesis.

In summary, when p is less than alpha, we reject the null hypothesis, indicating that there is evidence to support the alternative hypothesis.

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If Michael selects option one, his account balance after 4 weeks will be $410, and if he selects option two, his account balance after four weeks will be $160.

Micheal has two options to increase his account balance. The first option is to add $100 to his account each week, while the second option is to double the amount in his account at the end of each week. We need to find Michael's account balance after 4 weeks if he follows either of these two options.

Option 1: If Micheal selects option one, he will add $100 to his account each week, and after 4 weeks, his account balance will be:

10 + (100 * 4) = $410

Option 2: If Micheal selects option two, the amount in his account will double after each week. Therefore, his account balance will be:

Week 1: $10 * 2 = $20

Week 2: $20 * 2 = $40

Week 3: $40 * 2 = $80

Week 4: $80 * 2 = $160

Michael's account balance after four weeks will be $160 if he follows option 2.

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Note: The complete question is - If Micheal has $10 in his account and has the option to add $100 to his account each week or to double the amount in his account at the end of each week, what would be his account balance after 4 weeks?

1. An event that is likely to happen, but not certain, for the number Kenisha calls is that it will be an odd number. Since there are 75 numbers in total and half of them are odd, there is a higher probability that the number called will be odd.

2. An event that is unlikely to happen, but not impossible, for the number Kenisha calls is that it will be a perfect square. There are only a few perfect square numbers between 1 and 75, so the chances of calling a perfect square number are lower compared to other numbers.

3. An event that is certain to happen for the number Kenisha calls is that it will be a number between 1 and 75. Since the numbers in the game range from 1 to 75, any number called by Kenisha will definitely fall within this range.

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\textcolor{red}{\underline{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

The total value of the liquid in the cone-shaped container is $244.09.

To find the total value of the liquid in the container, we first need to calculate the volume of the cone. The formula for the volume of a cone is V = (1/3) * π * r^2 * h, where r is the radius and h is the height. Given that the diameter is 2.5 inches, the radius (r) is half of the diameter, which is 1.25 inches. Plugging in the values, we get V = (1/3) * 3.14 * 1.25^2 * 9 = 35.04 cubic inches.

Since the liquid is worth $2 per cubic inch, we can calculate the total value by multiplying the volume by the price per cubic inch: $2 * 35.04 = $70.08. Therefore, the total value of the liquid in the cone-shaped container is $70.08.

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The term used to describe events that have no outcomes in common is called "Mutually Exclusive."

Probability is a measure of how likely an event is to occur. The probability of an event ranges from 0 to 1, where 0 means that an event will not occur, and 1 means that an event will certainly occur.

In Mutually Exclusive events, the probability of both events happening at the same time is 0, which means that the outcome of one event completely eliminates the possibility of the outcome of the other event. The probability of getting heads and tails at the same time is 0, as it is impossible for the coin to show both heads and tails at the same time.

In mathematical terms, Mutually Exclusive events are represented by

=> P(A) + P(B) = P(A or B),

where P(A) represents the probability of event A, P(B) represents the probability of event B, and P(A or B) represents the probability of either event A or B occurring.

To summarize, Mutually Exclusive events are events that have no outcomes in common and have a probability of 0 of occurring simultaneously.

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==============================================

Reason:

It might help to draw a number line for this.

3/18 is closer to 0 than it is to 1/2 = 9/18, so the mixed number 3 & 3/18 rounds to 3 when rounding to the nearest half.

4/7 is closer to 1/2 = 4/8 than it is to either 0 or 1, so 4 & 4/7 rounds to 4 & 1/2 when rounding to the nearest half.

Adding 3 to 4 & 1/2 gets 7 & 1/2 since we add the whole parts 3+4 = 7, and the fractional part stays as it is.

-----------

Check:

(3 + 3/18) + (4 + 4/7) = 7.738 approximately

7 + 1/2 = 7.5 exactly

The two results aren't too far off. The estimate of 7 & 1/2 is an underestimate.

Answer:

About 7 1/2 ounces

Step-by-step explanation:

Add your whole numbers first, 3 + 4 = 7

Now the fractions:

3/18 = 1/6

Estimate 4/7 + 1/6, the answer is somewhere between 1/2 and 1 whole. Therefore the answer is about 7 1/2

Check:

3/18 × 7/7 = 21/126

4/7 × 18/18 = 72/126

21/126 + 72/126 = 93/126

The actual answer is 7 31/42, so the closest answer is 7 1/2

Answer:

36

Step-by-step explanation:

in 5x+2=17, you solve and get x=3. Then you do 12(3) to get 36.

Answer:

1.2

Step-by-step explanation:

Since we are rounding it by the tenth, it means we are rounding to the 1st digit to the right of the decimal.

We know 7 is greater then 5 meaning we round up

.1 + .1 is equal to .2 meaning its 1.2

If you still don't understand, I recommend you talk to your teacher

Answer: The answer is 1.2

Step-by-step explanation: Since this is to the nearest tenth  we are looking at the  first two numbers after the decimal point the second number 7 is greater then 5 the first number will be  greater if it was less then 5 or 5 we would round down now  we discard the rest including the second number which leaves us with the rounded first number of 2 now it's 1.2

Answer:

Step-by-step explanation:

1x - y = 1     ⇒     x - 1 = y

-3x + 4y = 12

-3x + 4(x - 1) = 12

-3x + 4x - 4 = 12

   x - 4 = 12

     x = 16   ⇒    16 - 1 = y     ⇒    y = 15

Therefore the system of the equations has exactly one solution at (16,15)

Answer:

D- There are infinite solutions

Step-by-step explanation:

-3x + 4y= 12 is the same as 1/4x -1/3y = 1.

1/4x multiplied by 12 is 3x

-1/3y multiplied by 12 is -4y

To flip the negatives you multiply by -1 to get -3x + 4y+ 12 on both equations

The equation for the given scenario is -1.5+1.5 =0.

Temperature is a degree of hotness or coldness the can be measured using a thermometer. It's also a measure of how fast the atoms and molecules of a substance are moving. Temperature is measured in degrees on the Fahrenheit, Celsius, and Kelvin scales.

Given that, the temperature in a city is -1.5° C

Now,

The temperature needs to rise -1.5° C to reach 0° C.

Then, the equation is

-1.5+1.5 =0

0 = 0

Therefore, the equation is -1.5+1.5 =0.

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