The weight of an object on Mars m is 40% of its weight on Earth w. Write a function rule for the situation. Then find the weight on Mars of a space probe that weighs 15 lb on Earth.


A.
m(w) = w – 0.4; 14.6 lb


B.
m(w) = w + 0.4; 15.4 lb


C.
m(w) = 0.4w; 6 lb


D.
m(w)=w0.4; 37.5 lb

Answer:

Option 1 -----> -10

Step-by-step explanation:

Substitute a and b into the equation :

-{a-b} =  

-{7-(-3)} =

-{7+3} =

-{10} =

-10 ---> Option 1

Hoep this helped and brainliest please

A statistically significant negative correlation coefficient of r = -0.91 was obtained from a sample of n = 30. This indicates a strong and significant negative relationship between the variables.

The researcher conducted a correlation analysis and found a correlation coefficient (r) of -0.91, which indicates a strong negative relationship between the variables under investigation. The negative sign indicates that as one variable increases, the other variable tends to decrease, and vice versa.

The statistical significance of the correlation coefficient is crucial in determining whether the observed relationship is likely to be due to chance or if it truly exists in the population. In this case, the report should highlight that the obtained correlation coefficient is statistically significant.

To establish statistical significance, the researcher likely conducted a hypothesis test, such as a t-test or a permutation test, to determine the probability of obtaining a correlation coefficient as extreme as -0.91 under the null hypothesis of no correlation. Since the obtained correlation coefficient is statistically significant, it suggests that the observed negative relationship is unlikely to be a result of chance and provides evidence for a genuine association between the variables in the population from which the sample was drawn.

Reporting this finding is important for conveying the strength and significance of the negative relationship to the readers, providing valuable insights for further analysis and interpretation of the variables under investigation.

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The measure of the alternate exterior angle made by the intersection of road B and road C is 77 degrees.

The pair of angles known as alternate exterior angles are those that are formed on the opposite side of the transversal from the parallel lines' outer side.

According to the alternate exterior angle theorem, alternate exterior angles are regarded as congruent angles or angles of equal measure when two parallel lines are intersected by a transversal.

In this case, two roads, A and B, run parallel to each other. A third road, C, passes through both A and B. Road C creates an exterior angle of 77 with road A. Therefore, the angle will also be equal to 77°.

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To determine the location of the maximum tensile bending stress with respect to the neutral axis, you need to find the point where the distance (y) is maximum.

To calculate the maximum tensile bending stress, you need to know the moment of inertia of the cross-sectional shape and the distance from the neutral axis to the point of interest.

The formula to calculate the maximum tensile bending stress (σ) is:

σ = (M * y) / I

where:

- M is the bending moment applied to the material

- y is the distance from the neutral axis to the point of interest

- I is the moment of inertia of the cross-sectional shape

Please provide the values for the bending moment (M), the moment of inertia (I), and the cross-sectional shape to calculate the maximum tensile bending stress and determine its location with respect to the neutral axis.

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The circle has a diameter of 10 and a radius of 5

the radius times itself ( 5 x 5 ) = 25

25 times pi (3.14) = 78.5

so the circle is 78.5, lets say square cm.

and the circumference is 31.41593 or 31.42  

we need to find the center point and the length of the radius. The center point is at 5. 1.  so h = 5  and  k = 1

Now let’s count from the center to a point on the circumference to find the length of the radius. 5

The radius is 5 so  r = 5

Now let’s plug everything into the standard form of a circle.

(x - h)²+ (y - k)² = r²

Answer:

233 or option D

Step-by-step explanation:

In all shapes, all the angles add up to 360

So . . .

95 + x + 32 + x = 360

127 + x + x = 360

360 - 127 = 233

Therefore, your answer is 233 or option D

Answer:

233, D

Step-by-step explanation:

First, we know that the angles of a quadrilateral add up to 360 degrees. Therefore,

m∠a+m∠b+m∠c+m∠d = 360

m∠a+95+m∠c + 32 = 360

m∠a+m∠c + 127  = 360

subtract 127 from both sides

m∠a + m∠c = 233

Answer:

Step-by-step explanation:

1=a

Answer:

Step-by-step explanation:

Identity means to get itself

For multiplication,

if you  multiplied a number by 0, you would not get that number again, you would get 0.  so multiplying by 0 is not and identity

ex.  (a)(0)=0   does not = a so this is not an identity

if you multiplied a number by 1, yes that would be an identity because any number times 1 is itself

ex. a(1)=a    multiplied by 1 the number is itself, so yes this is an identity.

For the first loan, the final payment is $1,576.25. For the second loan, the final payment is $0. The calculations consider the given interest rates and compounding periods.



To determine the final payment for the first loan, we need to calculate the accumulated value of the loan after six years. For the first year, interest is compounded quarterly at a rate of 10% per annum. The accumulated value after one year is $10,000 * (1 + 0.10/4)^(4*1) = $10,000 * (1 + 0.025)^4 = $10,000 * 1.1038125.For the next three years, interest is compounded semi-annually at a rate of 8% per annum. The accumulated value after four years is $10,000 * (1 + 0.08/2)^(2*4) = $10,000 * (1 + 0.04)^8 = $10,000 * 1.3604877.

Finally, for the remaining two years, interest is compounded annually at a rate of 7.5% per annum. The accumulated value after six years is $10,000 * (1 + 0.075)^2 = $10,000 * 1.157625.To find the final payment, we subtract the payments made so far ($5,000 and $6,000) from the accumulated value after six years: $10,000 * 1.157625 - $5,000 - $6,000 = $1,576.25.For the second loan, we calculate the accumulated value after six years using the given interest rates and compounding periods for each period. The accumulated value after two years is $5,000 * (1 + 0.09/4)^(4*2) = $5,000 * (1 + 0.0225)^8 = $5,000 * 1.208646.

The accumulated value after four years is $5,000 * (1 + 0.10/12)^(12*2) = $5,000 * (1 + 0.0083333)^24 = $5,000 * 1.221494.Finally, the accumulated value after six years is $5,000 * (1 + 0.10)^2 = $5,000 * 1.21.To find the final payment, we subtract the payments made so far ($2,500 and $2,500) from the accumulated value after six years: $5,000 * 1.21 - $2,500 - $2,500 = $0.

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5(x + 27) >= 6(x + 26)

5x + 135 >= 6x + 156

-x >= 21

x <= -21

Answer: Choice B.

Answer:

yes

Step-by-step explanation:

Answer:

18ft

Step-by-step explanation:

Given data

Ratio of length to width = 5:3

Length = 30ft

Apply the part to part method

let the width be x

5/3= 30/x

cross multiply

5x= 30*3

5x= 90

x= 90/5

x=18 ft

Hence the width is 18ft

Answer:

a. s=94 b. s=8w+54 c. w=14

Step-by-step explanation:

I posted a picture how I got this answer

Hope this helped

Answer:

1,536 lb or 696.718 kg

verification:

4 p = 128 lb

48 p = ?

48 ÷ 4 = 12

128 × 4 = 1,536 lb

48 p = 1,536 lb

explanation:

If 4 people make 128 lb of garbage in one week then 48 people would make 1,536 lb of garbage in one week because the difference between 4 and 48 is 12 (48 ÷ 4 = 12) so if you multiply 128 lb by 12 you get 1,536 lb of garbage ( 128 × 12 = 1,536 lb).

Use the chain rule.

\(f'(x) = \left[\left(x^2 + \cos^2(x)\right)^3\right]' \\\\ ~~~~ = 3 \left(x^2 + \cos^2(x)\right)^2 \left[x^2 + \cos^2(x)\right]' \\\\ ~~~~ = 3 \left(x^2 + \cos^2(x)\right)^2 \left(\left[x^2\right]' + \left[\cos^2(x)\right]'\right) \\\\ ~~~~ = 3 \left(x^2 + \cos^2(x)\right)^2 \left(2x + 2 \cos(x) \left[\cos(x)\right]'\right) \\\\ ~~~~ = 3 \left(x^2 + \cos^2(x)\right)^2 \left(2x - 2 \cos(x) \sin(x)\right) \\\\ ~~~~ = \boxed{3 \left(x^2 + \cos^2(x)\right)^2 \left(2x - \sin(2x)\right)}\)

The graph that could represent the relationship between time (t) and speed (s) of a falling object is the graph labeled "Speed of a Falling Object." This graph shows a positive linear relationship between time and speed.

In the graph, the x-axis represents time in seconds (t), while the y-axis represents speed in meters per second (s). As time increases, the speed of the object also increases at a constant rate. This is shown by the upward trend of the graph.

The graph starts at a speed of 0 m/s when the object is dropped and continues to increase linearly as time progresses. The slope of the line represents the rate at which the speed is increasing.

The graph accurately depicts the relationship described in the question, where the speed of the falling object increases at a constant rate with time. Therefore, the graph labeled "Speed of a Falling Object" is the appropriate representation for this relationship.

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Answer:

The equation representing the relationship is;

Amount charged to work a dog once a day = $1.25 * Number of days

Step-by-step explanation:

Here, we want to find the equation representing the relationship between the charges and the number of days

Firstly, he charges $6.25 to walk a dog a day for 5 days, the amount charged per day will be $6.25/5 = $1.25

For the 7 days, amount charged = 8.75/7 = $1.25

This means he charges an amount of $1.25 to walk a dog once a day

The equation that represents the relationship is thus;

Amount charged = $1.25 * Number of days

The area of a shape is the amount of space it occupies

The area of the bathroom floor is \(44\frac 12\) square feet

From the plan of the bathroom, we have the following dimensions:

So, the area of the bathroom floor is:

\(Area = 5\frac 12 * 4 + 6\frac 12 * 3 + 2 * 1\frac 12\)

Evaluate the products

\(Area = 22 + 19\frac 12 + 3\)

Evaluate the sums

\(Area = 44\frac 12\)

Hence, the area of the bathroom floor is \(44\frac 12\) square feet

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The age of a meteor with a 238U / 206Pb ratio of 1/3 can be determined using the half-life of 238U (4.5 billion years), giving an age of 4.5 billion years. Non-radiogenic 206Pb in the sample would affect the age estimate.

The decay of 238U to 206Pb is an example of radioactive decay, where the parent isotope (238U) decays into a daughter isotope (206Pb) over time. The half-life of 238U is 4.5 billion years, which means that half of the original amount of 238U will decay into 206Pb after 4.5 billion years.

Suppose we start with a sample of meteor that has a 238U / 206Pb ratio of 1/3. This means that for every 1 atom of 238U, there are 3 atoms of 206Pb in the sample. Let's assume that all of the 206Pb in the sample is due to the decay of 238U.

After one half-life of 238U, half of the 238U in the sample will have decayed into 206Pb, and the ratio of 238U / 206Pb will be 1/6 (since we started with 1/3 and one half-life has passed). After two half-lives, three-quarters of the 238U will have decayed into 206Pb, and the ratio of 238U / 206Pb will be 1/11 (since there are now 1 atom of 238U for every 11 atoms of 206Pb).

To determine the age of the sample, we can use the formula for radioactive decay:

N(t) = N0 * (1/2)^(t/T)

where N(t) is the number of radioactive atoms remaining at time t, N0 is the initial number of radioactive atoms, T is the half-life, and t is the time that has elapsed.

In this case, we can use the ratio of 238U / 206Pb to calculate the initial number of 238U atoms, since we know that there are 3 atoms of 206Pb for every 1 atom of 238U in the sample. Let N0 be the initial number of 238U atoms, then we have:

N0 / (3N0) = 1 / 3

Solving for N0, we get:

N0 = 3

Using the formula for radioactive decay, we can solve for the age of the sample:

N(t) / N0 = (1/2)^(t/T)

Substituting the given values, we have:

1/2 = (1/2)^(t/4.5x10^9)

Solving for t, we get:

t = 4.5 billion years

Therefore, the age of the sample is 4.5 billion years.

If the meteor originally contained some 206Pb from a source other than radioactive decay, this would affect our age estimate because we assumed that all of the 206Pb in the sample was due to the decay of 238U. If there was some non-radiogenic 206Pb in the sample, then the amount of 238U that had decayed would be overestimated, leading to an age estimate that is too old. To account for this, we would need to measure the amount of non-radiogenic 206Pb in the sample and subtract it from the total amount of 206Pb to get the radiogenic component due to the decay of 238U.

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Answer:

11 years old

Step-by-step explanation:

33+11=44 (four times of Jerry's age)

44÷4=11 (Jerry's age)

Hope this helps! Thanks.

Answer:

a) y ∝ x

y = kx

k = y/x

b) y = 7/8

Step-by-step explanation:

Suppose that y varies directly with x and y = 2 when x =16

a)write a direct variation equation that relates x and y

y varies directly with x

Hence:

y ∝ x

y = kx

Where k is constant of proportionality

y = 2 when x =16

Hence:

2 = 16k

k = 2/16

k = 1/8

b) find y when x =7

y = kx

k = 1/8

x = 7

y = 1/8 × 7

y = 7/8

Pan tool do the data analyst use to select the area on the map representing Finland.    

What is data analyst?

A data analyst is working with the world happiness data in table. To use Pan tool to select the area on the map representing Finland.

A data professional examines data to uncover critical insights about a company's consumers and how the data may be utilized to address problems. They also share this information with corporate executives and other stakeholders.

Pan allows us to shift the map to focus on it or present the areas in the way we wish. Simply pick the Pan Option and move the map around to suit your needs. Alternatively, you may move the map by holding down the Shift key.

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Answer:

2.25 inches

Step-by-step explanation:

Map scale given = ¼ inch represents 1 mile (¼ inch = 1 mile)

Distance between the real towns of Candler and Canton = 9 miles

Their distance on map can be calculated as follows:

Let the distance on map = x

¼ inch = 1 miles

x inch = 9 miles

Cross multiply

x*1 = ¼*9

x = 9/4

x = 2.25

Distance on map = 2.25 inches

Answer:

no as the answer would be a decimal

Step-by-step explanation:

an easier way to know is to add up all the digits

3 + 9+0 +5+2= 19 and if that number is a multiple of 3 then it will be divisible by 3

this works for any number that should be divided by 3

example

is 2345 divisible by 3

2+3+4+5 =14 so no it is not divisible by 3

example

is 12345 divisible by 3

1+2+3+4+5 =15 so yes it is divisible by 3

hope this helps

pls can u help me with my most recent question pls and thx

Studies suggest that when given "negative-feedback" by teachers, girls attribute their failure to lack-of-ability, while boys attribute their failure to fussy-grading or lack-of-effort, Option (e) is correct.

This difference in attribution can be attributed to gender-based societal expectations and stereotypes. Girls, often facing societal pressure and stereotypes related to their intelligence and abilities, may internalize negative-feedback and attribute their failures to a lack of inherent ability.

The Boys may feel less societal pressure related to their abilities and may be more likely to attribute failures to external factors such as grading standards or lack of effort. It is important to recognize these gender differences in attribution to promote equitable and unbiased feedback and support for all students, regardless of their gender.

Therefore, the correct option is (e).

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The given question is incomplete, the complete question is

Studies suggest that when given negative feedback by teachers, girls tend to attribute their failure to ___, whereas boys attribute their failure to ___.

(a) lack of effort; fussy grading

(b) lack of effort; lack of ability

(c) fussy grading; lack of effort

(d) fussy grading; lack of ability

(e) lack of ability; fussy grading or lack of effort.

Answer:

Use the quotient property of logarithms, logb(x)−logb(y)=logb(xy) log b ( x ) - log b ( y ) = log b ( x y ) . log3(4010) log 3 ( 40 10 ). Step 2.

Answer:

b^36

Step-by-step explanation:

Answer:21

14 divided by 2 would be 7 which is 50% of 14, so now you just add 14+7 and you should get 21.

Answer:

Step-by-step explanation:

you start off with 14 a way I do it for 50% is that I half the number so half of 14 is 7

14 + 7 = 21

The answer is 21

Use the formula V = P(1 - r)ᵗ, where V is the final value of the car, P is the initial value of the car, r is the annual depreciation rate as a decimal, and t is the time in years. Substituting the given values, the value of the car after 9 years is approximately 10920.91 dollars.

To calculate the value of the car after 9 years, we can use the formula for exponential decay:

V = P(1 - r)ᵗ

where V is the final value of the car, P is the initial value of the car, r is the annual depreciation rate as a decimal, and t is the time in years.

Substituting the given values, we get:

V = 22400(1 - 0.0675)⁹ ≈ 10920.91

Therefore, the value of the car after 9 years is approximately 10920.91 dollars.

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Answer:

-10

Step-by-step explanation:

39+46=85-12-83= -10

Answer:

Brendan has $-10 dollars left over.

Step-by-step explanation:

39+46=85

85-12-83=-10