By pushing the crate up the ramp rather than lifting it to the platform,you are using_____force, but moving the crate a____

distance

Answer:

y=-30

Step-by-step explanation:

3y+24=2y-6

The range of number of arrivals you can expect for this supermarket, usually 95% of the time, is 70 to 126.

To determine the range of number of arrivals expected at the supermarket, given the mean and standard deviation, we can use the concept of the normal distribution. Assuming the data is normally distributed, we can calculate the range that includes 95% of the data, which is the usual range. The answer options provided represent different ranges of number of arrivals. We need to identify the range that falls within the 95% confidence interval of the data.

To find the range of number of arrivals expected with 95% confidence, we can use the mean and standard deviation of the sample. The mean represents the average number of arrivals, and the standard deviation measures the dispersion of the data.

Since the data is assumed to follow a normal distribution, we know that approximately 95% of the data falls within two standard deviations of the mean. This means that the expected range will be the mean plus or minus two standard deviations.

To calculate this range, we can add and subtract two times the standard deviation from the mean. Using the given mean and standard deviation, we can determine the lower and upper limits of the expected range.

Comparing the answer options provided, we need to choose the range that falls within the calculated range. The option that matches the calculated range would be the correct answer, representing the range of number of arrivals we expect at the supermarket with 95% confidence.

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Hugh poured 100 kilograms of water into 10 kg of salt. He made 110 kilograms of 9.09 % salt solution.

To find the mass of the solution add the mass of salt and the mass of the solution. To find the concentration of the solution divide the salt mass by the total mass of the solution and multiply by 100.

Here we have  

Hugh poured 100 kilograms of water into 10 kg of salt.

After adding 100 kilograms of water to 10 kg of salt.  

The total mass of the solution = 100 + 10 = 110 kg

The concentration of salt

= [ Mass of salt/ Mass of solution] × 100

= [ 10/110] × 100 = 9.09%      

Therefore,

Hugh poured 100 kilograms of water into 10 kg of salt. He made 110 kilograms of 9.09 % salt solution.  

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Answer:

Eleanor and Harold

Step-by-step explanation:

The decimal \(0.13\overline{7}\) consists of the sum of two terminating decimals and one non-terminating decimal:

\(0.13\overline{7}=0.1+0.03+0.00\overline{7}\)

Therefore, we have:

\(0.13\overline{7}=\frac{1}{10}+\frac{3}{100}+\frac{7}{900},\\\\0.13\overline{7}=\frac{10}{100}+\frac{3}{100}+\frac{7}{900},\\\\0.13\overline{7}=\frac{13}{100}+\frac{7}{900}=\frac{117}{900}+\frac{7}{900}=\boxed{\frac{124}{900}}\)

Hector's answer is equivalent but not simplified. However, they are both technically correct.

Answer:

k=6

Step-by-step explanation:

subtract 5 from both sides

4(k-1)=20

divide 4 on from both sides

k-1=5

add 1 on both sides

k=6

\(\huge\bf{ANSWER:}\)

\(\huge\mathrm{k=6}\checkmark\)

\(\huge\bf{SOLUTION:}\)

Hey there, hope you are enjoying your day! :)

Let's solve this math problem. First of all, let's use the Distributive Property:

\(\rm{5+4(k-1)=25\)

\(\rm{5+4k-4=25\)

Now, move all the constants (numbers without a variable next to them) to the right, using the opposite operation:

\(\rm{4k=25-5+4\)

\(\rm{4k=20+4\)

Add:

\(\rm{4k=24\)

Divide both sides by 4 in order to isolate k:

\(\rm{k=6}\) (Answer)

Hope you find it helpful.

Feel free to ask if you have any doubts.

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

Hello!

area

= πr²

= 3.14 * (3ft)²

= 3.14 * 9ft²

= 254.34ft²

≈ 254.3ft²

Answer:

108 balls were pitched in total

Step-by-step explanation:

if 9 player came to practice and pitched 12 balls each. the equation would be 9*12=108

Step-by-step explanation:

must be _1/27 in my opinion it's that

Let:

x = Speed of the boat downstream

y = Speed of the boat upstream

A river cruise boat sailed 120 miles down the Mississippi River for six hours. So:

It took eight hours to return. So:

Using elimination method:

Replace x into (2):

Therefore, the rate of the cruise boat in still water is 17.5 mph and the rate of the current is 2.5mph

We cannot give an exact number of differences between manuscripts, as the numbers change constantly as new manuscripts are discovered and analyzed.

In the National Cathedral Lecture, "Misziting Jesus," speaker Dr. Bart Ehrman explains the differences and differences that exist among extant New Testament manuscripts.

He says there are thousands of differences, from minor differences in spelling and word order to more significant changes in phrasing and meaning.

These differences are due to various factors such as  Inconsistencies that may have existed between errors made by the scribe during the course of transcription, deliberate alterations of the text for theological or other reasons, and the original manuscript itself.

Therefore, we cannot give an exact number of differences between manuscripts, as the numbers change constantly as new manuscripts are discovered and analyzed.

However, it is widely accepted among biblical scholars that there are considerable differences among extant New Testament manuscripts. 

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12 months in a year

2 years

2x12=24

74.16x24=1779.84

Heather's total cost of repayment is $1,779.84.

A monthly payment is a payment made every month to pay off loans or advances. It's similar to EMI.

Given,

Principal = $1,500

Rate = 17% per year (or 0.17 as a decimal)

Time = 2 years

Total interest = (principal × rate × time) / 12

Substitute the given values, and we get:

Total interest = (1500 × 0.17 × 2) / 12 = $51

So, Heather will pay a total of $51 in interest over the two years.

Total repayment = monthly payment × number of months

Here,

Monthly payment = $74.16

Number of months = 2 years × 12 months/year = 24 months

Substitute these values, and we get:

Total repayment = $74.16 × 24 = $1,779.84

Therefore, Heather's total cost of repayment is $1,779.84.

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It would take 54 minutes for Debra to reach park which is 18 km away from the house at speed of 20km/h.

Speed is the rate at which an object moves along a path in time, whereas velocity is the rate and direction of an object's movement. In other words, speed is a scalar value, whereas velocity is a vector.

For example, 50 km/hr (31 mph) describes the speed at which a car travels along a road, whereas 50 km/hr west describes the velocity at which it travels.

We have given the speed 20km/h

the distance to cover is 18km

The formula for time is

t = D/S

where,

t is time

D is distance

S is speed

Substituting the values we get

t = 0.9 hours

t = 54 minutes

Thus, it would take 54 minutes for Debra to reach park which is 18 km away from the house at speed of 20km/h.

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The equation of the line in slope-intercept form is y = (1/2)x + 3 and the slope is 1/2.

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

\(\rm m =\dfrac{y_2-y_1}{x_2-x_1}\\\)

As we can see in the graph the line goes from (-6, 0) and (0, 3)

Finding the slope:

\(\rm m =\dfrac{3-0}{0-(-6)}\\\)

m = 3/6 = 1/2

y = mx + c

y = (1/2)x + c

c is the y-intercept

c = 3

The equation:

y = (1/2)x + 3

Thus, the equation of the line in slope-intercept form is y = (1/2)x + 3 and the slope is 1/2.

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The  Trigonometric Identity sin² x + cos²x = 1 is: A. Pythagorean Identity.

The Pythagorean Identity which  tend to asserts that for every angle x, the sum of the squares of the sine and cosine of x is equal to one  is known as or called a  trigonometric identity.

The  Pythagorean identity can be expressed as:

sin² x + cos² x = 1

This identity is crucial to understanding trigonometry and tend to have several uses in numerous branches of science and engineering.

Therefore the correct option is A.

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The questions that could be used to challenge each claim goes as follows.

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Answer:

4/5+14%15

4×3/5+14×1/15

12+14/15

26/15

(26/5)/2

13/15

Answer:ay

Step-by-step explanation:

yaaaaaaaaaaaaaaaaaaaaaaaaaa

Answer:

in this question add all

=132.4

Answer:

.75 per 1 apple

Step-by-step explanation:

A unit rate has only 1 of the item in the denominator

12 apples and 4 apples are not 1 of the item

$.75/ 1 apple is a unit rate

The process involves finding the complementary solution x_c(t) by solving the homogeneous equation, determining the particular solution x_p(t) using the method of variation of parameters, and combining them to obtain the general solution x(t).

1. The method of variation of parameters can be used to solve the initial value problem x' = axf(t), x(a) = xa, where a and f(t) are given functions. In this case, we have the values a = 4 - 2t and f(t) = 16t^2. We need to find the solution x(t) using the initial condition x(0) = 2.

2. To solve the initial value problem using the method of variation of parameters, we first find the complementary solution x_c(t) by solving the homogeneous equation x' = ax.

3. For the given a = 4 - 2t, the homogeneous equation becomes x' = (4 - 2t)x. By separation of variables and integration, we find the complementary solution x_c(t) = Ce^(2t - t^2).

4. Next, we find the particular solution x_p(t) by assuming a particular solution of the form x_p(t) = u(t)e^(2t - t^2), where u(t) is a function to be determined.

5. Differentiating x_p(t) and substituting it into the original differential equation, we can solve for u'(t) and determine the form of u(t). After finding u(t), we substitute it back into x_p(t).

6. Finally, the general solution is given by x(t) = x_c(t) + x_p(t). By substituting the values and integrating, we can obtain the specific solution x(t) for the given initial condition.

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Answer:

D.

s + m=5

1.75 +2.5m = 11.60

Step-by-step explanation:

Equations that I have made without seeing the options:

s + m = 5

1.75s + 2.5m = $11.60

There is a option that matches my answer. that's D.

Answer:s + m=5

1.75 +2.5m = 11.60

Step-by-step explanation:

Answer:

8.7 ft

Step-by-step explanation:

Picture a right triangle with the ladder (10ft) as the hypotenuse, the missing leg (x) as the distance from the ground to the top of the ladder where it touches the wall, and the ladder making a 30° angle with the wall.

x = 10(cos30) = 8.66 ≈ 8.7 ft

Answer: 8.7

Step-by-step explanation:

10(cos 30)=8.7

A linear equation is the equation of a line.The equation which is passing through the point (-1,6) and parallel to the line -2x+y=9 is -2x + y = 8.

A straight line on the coordinate plane is represented by a linear function.

A linear function is a function that varies linearly with respect to the changing variable.

A linear equation in slope y-intercept form is written as,

y = mx + c where m is the slope while c is the y-intercept.

Given equation is -2x+y=9

y = 2x + 9 so slope m is 2.

Since parallel lines have the same slope so equation will be,

y = 2x + c

Substitute,(-1,6)

6 = 2(-1) + c → c = 8

So,

y = 2x + 8 → -2x + y = 8.

Hence "A linear equation is the equation of a line. The equation which is passing through the point (-1,6) and parallels to the line -2x+y=9 is -2x + y = 8".

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The given question is incorrect correct question follows ;

Find the equation of the line passing through the point (-1,6) and parallel to the line -2x+y=9

Lisa lost 9 marks on her math test.

How to find the mark Lisa lost

To figure out how many marks Lisa lost, we need to first find out what 100% of the test score would have been, and then subtract the score she actually received (85% of the total score) from that.

To find out what 100% of the test score would have been, we can use a proportion:

60 = 100%

x = 85%

We can set up this proportion like this:

60/100 = x/85

To solve for x, we can cross-multiply:

100x = 60 * 85

Then, we can divide both sides by 100 to get:

x = (60 * 85) / 100

x = 51

The marks lost = 60 - 51 = 9

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The plant that produced the most tomatoes was treated with the old fertilizer, thus it was better. So statement B is correct.

A line plot is one type of graph that helps us to represent the data along the number line. This plot is also referred to as a dot plot. In this plot, we show the data as a check or point above a number line. Each point or check in this plot represents the frequency of each value.

The given plot about fertilizers is a line plot. In this plot, 1 dot over 2 in the old fertilizer treatment means about 2 plants have one tomato.

By comparing the line plot for both the new fertilizer and old fertilizer, we will be able to say that there are more tomatoes produced when the old fertilizer is used than the new fertilizer.

Nearly 65 tomatoes were produced when old fertilizer is used but only 58 tomatoes were produced when new fertilizer is used. Therefore, statement B is correct.

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the mass percentage of carbon (C) in saccharin (C7H5NO3S) is approximately 48.43%.

To calculate the mass percentage of carbon (C) in saccharin (C7H5NO3S), we need to determine the molar mass of carbon in the compound and divide it by the molar mass of the entire compound, then multiply by 100.

The molar mass of carbon (C) is 12.01 g/mol.

To calculate the molar mass of the entire compound (C7H5NO3S), we sum the molar masses of each element:

Molar mass of C7H5NO3S = (7 * 12.01) + (5 * 1.01) + (1 * 14.01) + (3 * 16.00) + 32.06

                     = 84.07 + 5.05 + 14.01 + 48.00 + 32.06

                     = 183.19 g/mol

Now we can calculate the mass percentage of carbon:

Mass percentage of C = (mass of C / mass of compound) * 100

                   = (7 * 12.01 / 183.19) * 100

                   = 48.43%

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Answer:

3/5 + 2 3/4 = 3 7/20

Step-by-step explanation:

2 = 8/4

2 3/4 = 2 + 3/4

then:

3/5 + 2 3/4 = 3/5 + 8/4 + 3/4

= 3/5 + (8+3)/4

= 3/5 + 11/4

3/5 = 12/20

11/4 = 55/20

then:

3/5 + 11/4 = 12/20 + 55/20 = 67/20

67/20 = 60/20 + 7/20 = 3 + 7/20

= 3 7/20

The sum of the equation  (4d + e + 2) + (d + 3e - 4) is option (D) 5d + 4e - 2.

what is sum?

In mathematics, the term "sum" refers to the result of adding two or more numbers together. It is also commonly used to refer to the process of performing addition.

what is equation?

In mathematics, an equation is a statement that indicates that two expressions are equal. Equations typically contain variables, which are placeholders for unknown values, as well as constants and operations such as addition, subtraction, multiplication, and division.

In the given question,

To find the sum of (4d + e + 2) + (d + 3e - 4), we simply need to add the corresponding coefficients of d, e, and the constant terms:

(4d + e + 2) + (d + 3e - 4) = (4d + d) + (e + 3e) + (2 - 4)

Simplifying this expression, we get:

= 5d + 4e - 2

Therefore, the sum of (4d + e + 2) + (d + 3e - 4) is option (D) 5d + 4e - 2.

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The subsequent hypothesis tests has to be run the alternative hypothesis Hₐ: μ < 1200, it is a left tail test.

Given that,

If the typical round-trip cost between Philadelphia and Dublin is less than $1,200, Expedia would want to investigate.

We have to find which of the subsequence hypothesis tests has to be run.

We know that,

The claim : If the average round-trip between Philedelphia and

Dublin is less than $1200.

So, claim is the alternate hypothesis.

Hₐ: μ < 1200

H₀: μ = 1200

Since the Hₐ: μ < 1200, it is a left tail test.

Therefore, the subsequent hypothesis tests has to be run the alternative hypothesis Hₐ: μ < 1200, it is a left tail test.

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