From Monday to Thursday the debts of a snowdrift changed by -8 inches. From Thursday to Friday, the depth changed by half as much. What is the oh angle in the depth of the snowdrift from Monday to Friday?

Answers

Answer 1

The depth of snowdrift changed from Thursdays to Friday by -4 inches

The change of depth of snowdrift from Monday to Thursday = -8  inches

From Thursday to Friday, the depth changed by half as much

The equation is the mathematical statement that shows the relationship between two expression with and equal sign. The equation may consist of variables, numbers and arithmetic operators

Then the equation will be

The change of depth of snowdrift from Thursday to Friday = -8 /2

Here we have to use the division

Divide the terms

The change of depth of snowdrift from Thursday to Friday = -4 inches

Hence, depth of snowdrift changed from Thursdays to Friday by -4 inches

The complete question is :

From Monday to Thursday, the depth of a snowdrift changed by -8 inches. From Thursday to Friday, the depth changed by half as much. What is the change in the depth of the snowdrift from Thursday to Friday?

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Related Questions

suppose the true proportion of voters in the county who support a restaurant tax is 0.55. consider the sampling distribution for the proportion of supporters with sample size n

Answers

The mean of this distribution is 0.55

The standard error of this distribution is 0.0384

We have the following:

p=0.55

sample size, n=168

Mean of distribution:

Mean=true proportion of voters who support a restaurant

Mean=p=0.55

Hence, the mean of distribution is 0.55

Standard error of the distribution:

[tex]=\sqrt{\frac{p(1-p)}{n} }[/tex]

[tex]=\sqrt{\frac{0.55(1-0.55)}{168} }[/tex]

=0.0384

Hence, the standard error is 0.0384

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The questions was incomplete, the complete question is given below:

Suppose the true proportion of voters in the county who support a restaurant tax is 0.55. Consider the sampling distribution for the proportion of supporters with sample size n = 168.

What is the mean of this distribution?

What is the standard error of this distribution?

g(x) is a vertical shift of f(x) , as shown in the graph. How do the two equations relate to each other?

Answers

Answer:

A

Step-by-step explanation:

g(x) = f(x) + 3

Luke claims two circles are always isometric because the shape never changes. Is he correct?
Group of answer choices

Yes - an isometry preserves shape.

Yes - all circles are similar.

No - the center may be located on a difference coordinate.

No - an isometry preserves both size and shape.

Answers

Luke asserts that since the shape is constant, two circles are always isometric. he is wrong. No, an isometry keeps the size and shape intact.

Given that,

Luke asserts that since the shape is constant, two circles are always isometric.

We have to say is he accurate.

The answer is

No, an isometry keeps the size and shape intact.

Because a shape-preserving transformation (movement) in the plane or in space is called an isometric transformation (or isometry). The isometric transformations include translation, rotation, and combinations thereof, such as the glide, which combines a translation with a reflection.

Therefore, Luke asserts that since the shape is constant, two circles are always isometric. he is wrong. No, an isometry keeps the size and shape intact.

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A waitress sold 19 ribeye steak dinners and 12 grilled salmon dinners, totaling $581.52 on a particular day. Another
day she sold 24 ribeye steak dinners and 6 grilled salmon dinners, totaling $581.59. How much did each type of
dinner cost?

Answers

The each type of dinner cost is ribeye steak dinner cost is $20.05 and grilled salmon dinner cost is $16.74 by using the equation.

Given that,

On one particular day, a waitress served 12 grilled salmon dinners and 19 ribeye steak dinners for a total of $581.52. She made $581.59 on another day by selling 24 ribeye steak dinners and 6 grilled salmon entrees.

We have to find what was the price of each kind of dinner.

So,

We take R as a ribeye steak dinner and S as grilled salmon dinners.

We get,

19R+12S=$581.52 ---> equation(1).

24R+6S=$581.59 ----> equation(2).

Now Take the equation (2)

24R+6S=$581.59

6S=$581.59-24R

Multiply 2 on both sides of equation.

12S=$1163.18-48R

Now take the equation(1)

19R+12S=$581.52

Take the 12S as 12S=$1163.18-48R

19R+$1163.18-48R=$581.52

-29R=$581.52-$1163.18

-29R=-581.66

29R=581.66

R=581.66/29

R= $20.05

Now substitute R in 12S=$1163.18-48R

We get,

12S=$1163.18-48($20.05)

12S=$1163.18-962.4

12S=200.78

S=200.78/12

S=$16.74

Therefore, The each type of dinner cost is ribeye steak dinner cost is $20.05 and grilled salmon dinner cost is $16.74 by using the equation.

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Which graph represents f(x)=5⋅3x?

Answers

Answer:

the first one, the top left corner

Step-by-step explanation:

y- int = 5

no x int

9y + 4.1 -6y someone help me on this question

Answers

Answer:

3y + 4.1

Step-by-step explanation:

You can't add unlike terms, so you collect like terms:

9y - 6y + 4.1

= 3y + 4.1

What is the first step to find the volume of the solid?

Answers

Answer: c

Step-by-step explanation:

In the equation, what is the value of s?

3(s + 1) − 8 = 6s(2 − 4)

Answers

Answer:

[tex]\boxed{\boxed{\sf s=\frac{1}{3}}\sf \:or\:\boxed{\sf s=0.33...}}[/tex]

Step-by-step explanation:

[tex]\sf 3\left(s+1\right)-8=6s\left(2-4\right)[/tex]

Expand ( Apply the Distributive Property):-

[tex]\sf 3s-5=-12s[/tex]

Add 5 to both sides:-

[tex]\sf 3s-5+5=-12s+5[/tex]

Simplify:-

[tex]\sf 3s=-12s+5[/tex]

Add 12s to both sides:-

[tex]\sf 3s+12s=-12s+5+12s[/tex]

Simplify:-

[tex]\sf 15s=5[/tex]

Divide both sides by 15:-

[tex]\sf \cfrac{15s}{15}=\cfrac{5}{15}[/tex]

Simplify:-

[tex]\sf s=\cfrac{1}{3}[/tex]

___________________

Hope this helps!

Have a great day! :)

Identify a reasonable domain and range.
Tickets that cost $125 dollars each

Answers

Well the domain is the number of tickets and the range is the cost for those tickets.

So x = 1 when y = 125 (1 ticket is 125 dollars). Here is a reasonable domain and range comparision:

x = 1 , y = 125

x = 2, y = 250

x = 3, y = 375

x = 4, y = 500

ect...

The lower limit of the domain is 0 because you cannot have less than 0 tickets.

I hope this helps!

In the coordinate plane, line p has slope 8 and y-intercept (0, 5). Line r is the result of dilating line p by a factor of 3 with center (0, 3). What are the slope and y-intercept of line r?.

Answers

In the given coordinate plane, based on the given dilation the line r has slope 8 and coordinate (0,8)

Dilation:

Dilation refers the ratio of the given line to line by the scale factor.

Given

In the coordinate plane, line p has slope 8 and y-intercept (0, 5). Line r is the result of dilating line p by a factor of 3 with center (0, 3).

Here we need to find the the slope and y-intercept of line r.

Here we know that scale factor is 3.

Let us consider the slope of the line r will not change and the intercept is the addition of their ordinate will be.

So, it can be written as,

=> Intercept = 5 + 3

=> Intercept = 8

Therefore, the line r has slope 8 and coordinate (0.8).

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The graph represents the number y of computers infected by a virus after x hours. Find the number of computers infected after 90 minutes and after 6 hours.

Answers

Examining the given graph the number of computers infected in

90 minutes = 8 computers6 hours = 4096 computers

How to find the number of computers infected

The graph shows that the function is an exponential function

represented as

The starting term of the function  f(x) = 4^t is 1, and base is 4

f(x) = number of computer infected

t = time in hours

90 minutes in hours

90 / 60 = 1.5 hours

for t = 1.5 hours

f(x) = 4^1.5

f(x) = 8

for t = 6 hours

f(x) = 4^6

f(x) = 4096

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If f(x) = -8m + 3 and g(x) = -8m^2 + m - 5, what is (f times g)x?

A.) 64m^3 - 16m^2 + 43m - 15
B.) 64m^3 +43m - 15
C.) 64m^3 - 32m^2 + 43m - 15
D.) -16m^2 + 43m - 15

Answers

Answer:  Choice C

[tex]64m^3-32m^2+43m-15[/tex]

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

Explanation:

Multiply out the expressions using the distribution rule as shown below.

[tex](-8m+3)(-8m^2+m-5)\\\\n(-8m^2+m-5) \ \ \text{ ... see note1}\\\\-8m^2n+mn-5n\\\\-8m^2( n )+m( n )-5( n )\\\\-8m^2( -8m+3 )+m( -8m+3 )-5( -8m+3 ) \ \ \text{ ... see note2}\\\\( 64m^3-24m^2 )+( -8m^2+3m )+( 40m-15 )\\\\64m^3+(-24m^2-8m^2)+(3m+40m)-15 \\\\64m^3-32m^2+43m-15 \\\\[/tex]

I used the tool WolframAlpha to confirm the answer is correct. GeoGebra is another free tool that offers similar capabilities.

Footnotes:

Note1: I let n = -8m+3, and replaced -8m+3 with n. That way the distribution on the next step could happen.Note2: I plugged in n = -8m+3. After which distribution happens 3 more times.

A 3 gallon bucket of paint costs $116.64. What is the price per cup?

Answers

Answer:

Step-by-step explanation:

You can use proportions to solve this.

You are paying $116.64 for 3 gallons of paint, so you could write this as:

\frac{116.64}{3}

Since the question is asking for price PER CUP, you want to convert 3 gallons to cups. 3 gallons = 48 cups. So now you can rewrite this as:

\frac{116.64}{48 cups}

In order to find the cost per cup, you can set up a proportion that solves for the price, x

\frac{116.64}{48 cups}  = \frac{x}{1 cup}

Solve for x by cross multiplying:

48x = 116.64

x = $2.43

It costs $2.43 per cup of paint

The population of a specific species of nocturnal mammal is decreasing at a rate of 3.5%/year. The graph models the number of mammals x years after they were originally counted.

Identify and interpret the key features of the exponential function modeled in terms of this situation.


Select each correct answer.

Question 1 options:

The y-intercept represents the number of mammals when they were originally counted.


The line y = 0 is an asymptote of the graph.


The y-intercept.is 75.


The y-intercept is 120.


The asymptote indicates that the number of mammals counted when the study began was 120.


The asymptote indicates that as years pass, the number of mammals will approach 0.


The line x = 0 is an asymptote of the graph.

Answers

The key features of the graph of the exponential function are given as follows:

The y-intercept represents the number of mammals when they were originally counted.The y-intercept is 120.The line y = 0 is an asymptote of the graph.The asymptote indicates that as years pass, the number of mammals will approach 0.

What are the key features of the graph?

The y-intercept of a function gives the value of the function when it crosses the y-axis, that is, when x = 0, hence it is the initial number of mammals, which is of 120.

As x goes to infinity, the number of mammals will never be of zero but it will get very close to zero, hence the line y = 0 is the horizontal asymptote of the graph.

Missing Information

The graph is shown by the image given at the end of the answer.

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Are the lines parallel? y=-3x+2 and 3x+y=6

A. Yes, they have the same slope and a different y intercept

B. No they are not parallell

Answers

The correct answer is A

Answer:

A. Yes, they have the same slope and a different y-intercept.

Step-by-step explanation:

Equation of line is given as y = mx + c, where m is the slope and c is the y-intercept.

Rearrange 3x + y = 6 to y = mx + c form.

y = -3x + 6

Parallel lines have the same slope.

Since slope of both lines is -3, the lines are parallel.

Choose the graph of Y=1/2|x|+3

Answers

This graph is the graph of y=1/2|x|+3

Write 180 as a product of primes. Use index notation when giving your answer.​

Answers

Answer: 5x2x2x3x3 is the answer to your question

Which graph represents the function
f(x)=√x+3-4

Answers

Answer:

I believe it is the last option but I'm not completely sure because the pic is blurry. But if the beginning of the graph is at (-3, -4) then the last option is definitely correct.

Step-by-step explanation:

Remember h controls horizontal movement k controls vertical movements.

always remember to take the opposite of h.

;)

A regular hexagon with a perimeter of 45 meters is dilated by a scale factor of 4/3 to create a new hexagon. What is the perimeter of the new hexagon?

Answers

The perimeter of the resulting hexagon is 60 meters.

What is the perimeter of the image of a hexagon as a result of a dilation?

In this problem we find the perimeter of a regular hexagon, which is dilated around its center. Regular hexagons are polygons with six sides of equal length. Dilations are rigid operations of the form:

P'(x, y) = O(x, y) + k · [P(x, y) - O(x, y)]

Where:

O(x, y) - Center of dilation.k - Scale factorP(x, y) - Original pointP'(x, y) - Resulting point

The perimeter is the sum of the side lengths of the hexagon and by dilation we find the following relationship between original and resulting perimeters (p, p'):

p' = k · p

If we know that p = 45 and k = 4 / 3, then the resulting perimeter is:

p' = (4 / 3) · (45)

p' = 60

The resulting hexagon has a perimeter of 60 meters.

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h - 2 > 10; h = 12


is that true?

Answers

Answer:

no, h=anything greater than 12

Step-by-step explanation

Answer:

No. It is false.

Step-by-step explanation:

h - 2 > 10; h = 12

Substitute 12 in place of h.

12 - 2 >? 10

Simplify.

10 >? 10

10 is NOT > 10

10 is not greater than 10. 10 is equal to 10. If the symbol had the "or equal to" underline under it, then it would be true. See image.

Body-mass index, or BMI, takes both weight and height into account when assessing whether an individual IS
underweight or overweight. BMI varies directly as one's weight, in pounds, and inversely as the square of one's height,
in inches. In adults, normal values for the BMI are between 20 and 25, inclusive. Values below 20 indicate that an
individual is
underweight and values above 25 indicate that an individual is overweight. A person who weighs 180
pounds and is 5 feet, or 60 inches, tall has a BMI of 35.15. Use the four-step procedure for solving variations to
determine what the BMI is, to the nearest tenth, for a 210-pound person who is 5 feet 9 inches tall. Is this person
underweight, normal, or overweight?

Answers

The person is overwieght as his BMI is 31.00 (approx)

What is Proportion?

In general, proportion refers to a part, share, or quantity assessed in comparison to a total. According to the notion of proportion, two ratios are in proportion when they are equivalent. It is a formula or statement that shows that two ratios or fractions are equivalent.

Solution:

Since, BMI is directly proportionate with weight and indirectly proportionate with square of height, we need to use a constant to make proportion to an equation.

According to the question,

BMI of a person who weighs 180 pounds and is 5 feet tall is 35.15.[tex]BMI = k*weight/height^{2}[/tex]

here, k is any constant value

35.15 = k*180/(60*60)

(35.15 * 3600)/180 = k

k = 703

Calculating BMI of a person weighing 210 pound and is 5 feet 9 inch tall.

First of all we need to convert 5 feet 9 inches into inches

5 feet = 60 inches

so, 5 feet 9 inch means 69 inches

BMI = 210*703/(69*69)

BMI = 31.00 (after rounding off)

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pls explain how to do this

Answers

The x value for each of the equation.

1)The x is 10 when the equation is 8=x-2

2)If x+2=-2, then the value of x is -4.

3)If 2=x+8, then the value of x is -6.

4)The x is -10 when the equation is x+8=-2

Given that,

The given equation are

1) 8=x-2

2) x+2=-2

3) 2=x+8

4)x+8=-2

We have to find the x value for each of the equation.

Take the equations,

1) 8=x-2

Adding 2 on both sides

8+2=x-2+2

10=x

The x is 10 when the equation is 8=x-2

2) x+2=-2

Adding 2 on both sides

x+2+2=-2+2

x+4=0

Adding -4 on both side

x+4-4=0-4

x=-4

If x+2=-2, then the value of x is -4.

3) 2=x+8

Subtracting 8 on both sides

2-8=x+8-8

-6=x

x=-6

If 2=x+8, then the value of x is -6.

4)x+8=-2

Adding -8 on both sides

x+8-8=-2-8

x=-10

The x is -10 when the equation is x+8=-2

Therefore, the x value for each of the equation.

1)The x is 10 when the equation is 8=x-2

2)If x+2=-2, then the value of x is -4.

3)If 2=x+8, then the value of x is -6.

4)The x is -10 when the equation is x+8=-2

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3- (pogil) a friend claims that flipping a coin 100 times and finding that it comes up heads only 45% of the time shows that the coin is biased. how should you reply?

Answers

with 100 flips, the outcome is very likely to be 45 heads or even less.

just because you have a 50% chance of getting heads, does not necessarily mean that you will get heads at exactly 50%.

100 coin flips will not always produce a 50-50 outcome of heads or tails. This is due to the fact that random events, while predictable in the long run, are not 100% predictable in small cases. For example, if we flipped a fair coin a quadrillion times, the variability in the outcomes caused by the coin's randomness would amount to a fractional value so small that calculators might even round the percentage of heads to 50%. However, with 100 flips, the outcome is very likely to be 45 heads or even less.

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What is the equation for the constant of proportionality that
matches the table?

y = 9x

y=18x

y = Ox

y = x

Answers

Answer:

y=9x

Step-by-step explanation:

For these x's and y's, we can notice that y is always equal to 9 times the value of x. 0 equals 9 * 0, 9 equals 9 * 1, 18 equals 9 * 2, 27 equals 9 * 3, and 36 equals 9 * 4.

We have just shown that y equals 9 times x, which is just y=9*x, or y=9x.

What type of angles are < 3 and < 6

Answers

Answer:

Obtuse Angles

Step-by-step explanation:

Both < 3 and < 6 are visibly over 90° and less than 180°, so both are obtuse.

in a survey, 24 people were asked how much they spent on their child's last birthday gift. the results were roughly bell-shaped with a mean of $35 and standard deviation of $15. construct a confidence interval at a 90% confidence level.

Answers

The confidence interval at a 90% is 29.533 ≤ μ ≤ 40.467

Given that

mean = 35

standard deviation = 15

We compute the confidence interval as follows:

μ =¯ˣ± ME

Where:

μ = is the population mean,¯x = 35 is the sample mean and,ME = is the margin of error.

To calculate the margin of error, we will use the t-distribution since the sample is very small n<30. Thus, our margin of error will be calculated as:

ME = t ×[tex]\frac{s}{\sqrt{n} }[/tex]

Where:

t = is the t-score at the 90% confidence level

degree of freedom df = 24 -1 =23

s = 15 is the standard deviation and,

n =24 is the sample size.

From the t-distribution tables, we will read the values of t at a critical value [tex]\alpha[/tex] = 0.10, and the degree of freedom is 23. This will give t= 1.714.

Thus, the margin of error is:

ME = 1.714 ×[tex]\frac{15}{\sqrt{23} }[/tex]

ME = 1.714 ×3.19

ME = 5.467

the confidence interval for the population mean is equal to:

μ = 35 ± 5.467

29.533 ≤ μ ≤ 40.467

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21a5b³-14a³b² +63a²b
———————————-
7ab

Answers

Answer:

[tex]3a^4b^2-2a^2b+9a[/tex]

Step-by-step explanation:

Because multiplication is the inverse of division, we're able to split this fraction into three separate fractions, which will simplify nicely at the end:

[tex]\frac{21a^5b^3}{7ab}; \frac{-14a^3b^2}{7ab}; \frac{63a^2b}{7ab}[/tex]

We can start by simplifying each fraction since 21, -14, and 63 are all divisible by 7:

[tex]\frac{3a^5b^3}{ab}; \frac{-2a^3b^2}{ab}; \frac{63a^2b}{ab}[/tex]

Finally, when dividing quotients with exponents, we subtract the exponents and we put all of our answers back together since everything was multiplied by each other at the beginning of the problem:

[tex]3a^4b^2-2a^2b+9a[/tex]

A 3/8-pound piece of cheese contains 4 servings. How much cheese is in 1 serving?

Answers

Answer:

3/32-pound cheese in 1 serving

Step-by-step explanation:

(3/8)/4=3/32 or 0.09375 lbs

3/32 of a pound are in 1 serving.

4. The first three terms of an infinite geometric sequence are m – 1,6, m + 8.
(a)write down two expressions for r.
(b) the find two possible values of m.
(c) Hence, find two possible values of (r)

Answers

In the given geometric sequence

a) The expression of the common ratio r = -6 and (m+8)/2

b) The possible value of m = -28

c) The possible value of r = -6

The geometric sequence is

-1 , 6, m+8

The the common ratio = second term / first term

= 6 / -1

= -6

The common ratio = third term /  second term

= (m+8)/6

The two expressions of common ratio is -6 and (m+8)/6

Part b

The third term = second term × common ratio

= 6 × -6

= -36

Then,

m +8  = -36

m = -36 + 8

m = -28

The possible value of m = -28

Part c

The possible value of r = -6

Hence, in the given geometric sequence

a) The expression of the common ratio r = -6 and (m+8)/2

b) The possible value of m = -28

c) The possible value of r = -6

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Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is placed. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Write the expression in exponential form.

log₆ M = y

Answers

Exponential Form: 6^y=M

Remember that logs always equal exponents!
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