please help as soon as possible!

Classify each pair of numbered angles as corresponding, alternate interior, alternate exterior, or none of these.
Drag and drop the choices into the boxes to correctly complete the table.

corresponding

alternate interior

alternate exterior

none of these

Answer:

76

Step-by-step explanation:

How many numbers are between 256 and 789 are divisible by 7 ?

Generalizing, we could look for a procedure that, given two integers A and B, with B>A , and a module M, tells us how many integers x, with A<=x<=B , are divisible by M.

a) let n1 be the lowest integer >=A such that n1 is divisible by M.

If n1>B , than not even n1 has the required properties and the output of the procedure is 0; otherwise, go to the next step.

n1 will be the first number of the sequence of numbers divisible by M.

b) let n2 be the highest integer <=B such that n2 is divisible by M.

Notice that it’s not possibile that n2<A , as you alway have the possibility n2=n1 .

n2 w

A simple way to think about this is by calculating the largest multiple of 7 less than 256 (let’s call it y) and the smallest multiple of 7 greater than 789 (let’s call it x). The answer is then all the multiples of 7 in between these two numbers, which can be represented by:

x−y7−1

Let’s do it:

252 is the largest number less than 256 divisible by 7. y = 252

791 is the smallest number greater than 789 that’s divisible by 7.

Thus, our answer is 113-36–1 = 76.

Note: we subtract 1 or else we would include the number on the top end of the range (in this case, 791).

Hope it helped you!!

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There are 4 quarts in a gallon, so there are 2 x 4 (8) quarts

To find price per quart, divide by number of quarts.

36.24/ 8 = $4.53 per quart

Hope this helps,

Jeron

:- )

(p.s., maybe brainliest if I really helped??  :))))    )

Answer:

$4.53

Step-by-step explanation:

Using the given information (that a 2-gallon container of laundry detergent costs $36.24), we can construct the equation:

\(p =\dfrac{2\, \text{gal}}{ \$36.24}\)

where \(p\) is the ratio of the detergent's price to its volume.

There are 4 quarts in 1 gallon. We can represent this using the equation:

\(4\, \text{qt} = 1\, \text{gal}\)

Then, we can substitute the quarts value for the gallons in the uppermost equation.

\(p =\dfrac{2\cdot (1\, \text{gal})}{ \$36.24}\)

\(p =\dfrac{2\cdot (4\, \text{qt})}{ \$36.24}\)

\(p =\dfrac{8\, \text{qt}}{ \$36.24}\)

Finally to solve for the price per one quart, we can divide the ratio by

\(\frac{8}{8}\). (We can do this because \(\frac{8}{8} = 1\), so we aren't changing the value of the ratio)

\(p =\dfrac{8\, \text{qt}}{ \$36.24} \div \dfrac{8}{8}\)

\(p =\dfrac{8\, \text{qt} \div 8}{ \$36.24 \div 8}\)

\(p =\dfrac{1\, \text{qt}}{ \$4.53}\)

So, the price for one quart of laundry detergent is $4.53.

Answer:

B (4, 1 )

Step-by-step explanation:

Using the midpoint formula

M = ( \(\frac{x_{A}+x_{B} }{2}\), \(\frac{y_{A}+y_{B} }{2}\) )

let the coordinates of B = (x, y ), then equating x and y coordinates

\(\frac{4+x}{2}\) = 4 ( multiply both sides by 2 )

4 + x = 8 ( subtract 4 from both sides )

x = 4

similarly

\(\frac{9+y}{2}\) = 5 ( multiply both sides by 2 )

9 + y = 10 ( subtract 9 from both sides )

y = 1

The coordinates of B = (4, 1 )

Here's link to the answer:

tinyurl.com/wpazsebu

Answer:

Rewrite  

64  as  

\((2^{6})^5^/^6\)  

Apply the power rule and multiply exponents,  

\((a^{m})^n=a^{mn}\)

\(2^{6}^(^5^/^6^)\)    

Cancel the common factor of    

\(2^{6}^(^5^/^6^)\)

Rewrite the expression.

\(2^{5}\)

Raise  2  to the power of  5  

32

Hope ti helps

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Thank you

Step-by-step explanation:

4.1  X 10^2    is    4.1  X 100   =   410

The population variance of the following set of numbers: 3, 5, 8, 9, 10 is 6.8

For given question,

We need to find  the population variance of the following set of numbers: 3, 5, 8, 9, 10

The formula for the Population variance is,

\(\sigma = \frac{\sum (x-\bar x)^2}{N}\)

Here,

\(\bar x\) = sample average

x = individual values in sample

N = count of values in the sample.

For given question,

\(\bar x=\frac{3+ 5+ 8+ 9+ 10}{5} \\\\\bar x=7\)

Using the formula for variance,

\(\sigma = \frac{1}{5} [(3-7)^2 + (5 - 7)^2 + (8 - 7)^2 + (9 - 7)^2 + (10 - 7)^2]\\\\\sigma = \frac{1}{5} \times 34\\\\\sigma = 6.8\)

Therefore, the population variance of the following set of numbers: 3, 5, 8, 9, 10 is 6.8

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Answer:

2 2/3

Step-by-step explanation:

C. 0.432 is the probability of selecting 2 females using binomial approximation.

The given problem can be solved by using the binomial distribution formula, which is given by:

p(x) = C(n, x) * p^x * q^(n-x)

Where:

p(x) = probability of x successes in n trials

C(n, x) = combination of n things taken x at a time

p = probability of success

q = probability of failure

q = 1 – p

In this case, the probability of selecting 2 females is to be determined. Therefore, x = 2.

Let us substitute the given values in the formula:

p(x = 2) = C(n, x) * p^x * q^(n-x) = C(3, 2) * (6/10)^2 * (4/10)^1 = 0.432

Therefore, the probability of selecting 2 females using binomial approximation is 0.432, which is option c.

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Let \(x=2\cos(t)\) and \(y=2\sin(t)\), so that

\(x^2 + y^2 = 4\cos^2(t) + 4\sin^2(t) = 4\)

is preserved. Then from the surface equation, we get

\(z = xy = 4\cos(t)\sin(t) = 2\sin(2t)\)

The curve of intersection is then given by the vector function

\(\vec r(t) = 2\cos(t) \, \vec\imath + 2\sin(t)\,\vec\jmath + 2\sin(2t)\,\vec k\)

Answer:

the dimensions of the rectangular poster are width = 6 inches and length = 8 inches.

Step-by-step explanation:

Let's assume the width of the rectangular poster is represented by 'w' inches.

According to the given information, the length of the poster is 5 more inches than half its width. So, the length can be represented as (0.5w + 5) inches.

The formula for the area of a rectangle is given by:

Area = length * width

We are given that the area of the poster is 48 square inches, so we can set up the equation:

(0.5w + 5) * w = 48

Now, let's solve this equation to find the value of 'w' (width) first:

0.5w^2 + 5w = 48

Multiplying through by 2 to eliminate the fraction:

w^2 + 10w - 96 = 0

Now, we can factorize this quadratic equation:

(w - 6)(w + 16) = 0

Setting each factor to zero:

w - 6 = 0 or w + 16 = 0

Solving for 'w', we get:

w = 6 or w = -16

Since the width of a rectangle cannot be negative, we discard the value w = -16.

Therefore, the width of the poster is 6 inches.

To find the length, we substitute the value of the width (w = 6) into the expression for the length:

Length = 0.5w + 5 = 0.5 * 6 + 5 = 3 + 5 = 8 inches

In summary, fy(a,b) is the slope of the tangent line to the surface defined by f(x, y) at the point (a, b) in the y-direction.

The given expression represents the partial derivative of f(x, y) with respect to y, evaluated at (a, b):

fy(a,b) = lim┬(y→b)⁡〖[f(a,y) - f(a,b)]/(y - b)〗

Geometrically, this partial derivative represents the slope of the tangent line to the surface defined by f(x, y) at the point (a, b) in the y-direction.

To see why this is the case, consider the following argument:

Let L be the limit in the expression given above.

Let h = y - b be the change in the y-coordinate from b to y.

Then, we can rewrite the limit as:

fy(a,b) = lim┬(h→0)⁡〖[f(a,b + h) - f(a,b)]/h〗

This expression represents the average rate of change of f(x, y) with respect to y over the interval [b, b + h].

As h approaches 0, this average rate of change approaches the instantaneous rate of change, which is the slope of the tangent line to the surface defined by f(x, y) at the point (a, b) in the y-direction.

Therefore, fy(a,b) is the partial derivative of f(x, y) with respect to y, evaluated at (a, b).

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Answer:

yes

the sum of the squares of the width and length is equal to the square of the diagonal

Step-by-step explanation:

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c =  hypotenuse

24^2 + 70^ = 576 + 4900 = 5476

square root = 74

Answer:

12

Step-by-step explanation:

12 + 15 = 27

15 - 12 = 3

therefore the answers should be 12 becuase 12 is smaller than 15

Answer:

12

Step-by-step explanation:

because is smaller than the other nuber

answer

\(m = + 5 \div \sqrt{6 \: } \: \: \: or \: - 5 \div \sqrt{6} \)

Answer:

20%

Step-by-step explanation:

65x=13

x=13/65

x=1/5

x=0.2

x=20%

Answer:

19

Step-by-step explanation:

The result of (3.432 cm × 0.50 cm) (2.42 cm × 0.7500 cm), using proper units and significant figures, is approximately 3.11 cm⁴.

To calculate the product of (3.432 cm × 0.50 cm) and (2.42 cm × 0.7500 cm), we multiply the values together and consider the significant figures:

(3.432 cm × 0.50 cm) × (2.42 cm × 0.7500 cm)

First, let's multiply the values within each set of parentheses:

(3.432 cm × 0.50 cm) = 1.716 cm²

(2.42 cm × 0.7500 cm) = 1.815 cm²

Now, let's multiply the results together:

1.716 cm² × 1.815 cm² = 3.11394 cm⁴

Since both values provided have three significant figures, we should round our answer to three significant figures as well:

3.11394 cm⁴ ≈ 3.11 cm⁴

Therefore, the result of (3.432 cm × 0.50 cm) (2.42 cm × 0.7500 cm), using proper units and significant figures, is approximately 3.11 cm⁴.

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Answer:

Simplifying

3u = 72

Solving

3u = 72

Solving for variable 'u'.

Move all terms containing u to the left, all other terms to the right.

Divide each side by '3'.

u = 24

Simplifying

u = 24

3u= 72

three will go to the other side so it will divide

and it well be

u= 24

Answer:

100: x

70 : 12.6

7x=1260

x=1260/70

x or original price= $18

Step-by-step explanation:

Answer:

all 3 options are true : A, B, C

Step-by-step explanation:

warning : it has come to my attention that some testing systems have an incorrect answer stored as right answer for this problem.

they say that A and C are correct.

but I am going to show you that if A and C are correct, then also B must be correct.

therefore, my given answer above is the actual correct answer (no matter what the test systems say).

originally the information about the alignment of the point F in relation to point E was missing.

therefore, I considered both options :

1. F is on the same vertical line as E.

2. F is not on the same vertical line as E.

because of optical reasons (and the - incomplete - expected correct answers of A and C confirm that) I used the 1. assumption for the provided answer :

the vertical line of EF is like a mirror between the left and the right half of the picture.

A is mirrored across the vertical line resulting in B. and vice versa.

the same for C and D.

this leads to the effect that all 3 given congruence relationships are true.

if we consider assumption 2, none of the 3 answer options could be true.

but if the assumptions are true, then all 3 options have to be true.

now, for the "why" :

remember what congruence means :

both shapes, after turning and rotating, can be laid on top of each other, and nothing "sticks out", they are covering each other perfectly.

for that to be possible, both shapes must have the same basic structure (like number of sides and vertices), both shapes must have the same side lengths and also equally sized angles.

so, when EF is a mirror, then each side is an exact copy of the other, just left/right being turned.

therefore, yes absolutely, CAD is congruent with CBD. and ACB is congruent to ADB.

but do you notice something ?

both mentioned triangles on the left side contain the side AC, and both triangles in the right side contain the side BD.

now, if the triangles are congruent, that means that each of the 3 sides must have an equally long corresponding side in the other triangle.

therefore, AC must be equal to BD.

and that means that AC is congruent to BD.

because lines have no other congruent criteria - only the lengths must be identical.

By using the definition of dilation with center at the origin, the scale factor of the dilation must be equal to 5.

Herein we find the coordinates of a point and its image on a Cartesian plane. The latter is the consequence of applying a dilation with center at the origin. Therefore, the following expression defines the transformation:

H'(x, y) = k · H(x, y)

Where:

If we know that H(x, y) = (6, 4) and H'(x, y) = (30, 20), then the scale factor is:

(30, 20) = k · (6, 4)

The expression is true for k = 5.

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The type of sampling used in this scenario is A Systematic sampling.

Systematic sampling involves selecting every kth element from a population list after randomly selecting a starting point. In this case, Christopher collects data from all the band members in his class, indicating that he is sampling systematically from a known list of band members.

This method ensures that every band member in the class has an equal chance of being selected, and it simplifies the process by following a predetermined systematic approach rather than relying on random selection or stratification.

Therefore, the type of sampling used in this scenario is A Systematic sampling.

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Complete question is below

To study the sleeping habits of all band members in his school, Christopher collects data from all the band members in his class. Which type of sampling is used? Select the correct answer below:

A Systematic sampling

B Stratified sampling

C Cluster sampling

D Convenience sampling

Mia can create a scale drawing of a football field using a scale of 1:1,000. The scale drawing will provide a Visual representation of the field, allowing for easier analysis and planning.

To create a scale drawing of a football field using a scale of 1:1,000, Mia can follow these steps:

1. Determine the dimensions: The football field's dimensions are given as 120 yards by 53 1/3 yards. Convert the fractional measurement to a decimal for simplicity. In this case, 1/3 yard is approximately 0.333 yards.

2. Decide on the units: Since the scale is 1:1,000, Mia needs to determine the unit of measurement she will use in her scale drawing. For consistency, she can choose to use feet as the unit.

3. Calculate the scaled dimensions: To create the scale drawing, Mia needs to scale down the dimensions of the football field. Since the scale is 1:1,000, she can divide the actual dimensions by 1,000 to obtain the scaled dimensions. The scaled dimensions would be 120 yards / 1,000 = 0.12 yards (or 0.36 feet) for the length and 53.333 yards / 1,000 = 0.053333 yards (or 0.16 feet) for the width.

4. Draw the scaled football field: Using a ruler and a grid paper, Mia can draw a rectangle with dimensions of 0.12 feet by 0.053333 feet (or inches, depending on the size of the grid paper). She can label the sides of the rectangle with the corresponding measurements in feet.

5. Add additional markings: Mia can add other markings to the scale drawing, such as the goal posts, yard markers, and any other important features of the football field. She can refer to the actual measurements and proportions of these elements to ensure accuracy.

By following these steps, Mia can create a scale drawing of a football field using a scale of 1:1,000. The scale drawing will provide a visual representation of the field, allowing for easier analysis and planning.

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Answer:

0.2

Step-by-step explanation:

Change the divisor 0.16 to a whole number by moving the decimal point 2 places to the right. Then move the decimal point in the dividend the same, 2 places to the right.

We then have the equations:

3.22 ÷ 16 = 0.20125

and therefore:

.03220 ÷ .16 = 0.20125

Both calculated to 5 decimal places.

James will fully clear the loan after approximately 12 years when the remaining balance reaches zero.

To determine the number of years it will take for James to fully clear the loan, we need to calculate the remaining balance after each payment and divide the initial loan amount by the annual payment until the remaining balance reaches zero.

The loan amount is 9000 euros, and James pays off 770 euros each year. Since the interest is charged at a rate of 3% of the original amount per annum, the interest for each year will be \(0.03 \times 9000 = 270\) euros.

In the first year, James pays off 770 euros, and the interest on the remaining balance of 9000 - 770 = 8230 euros is \(8230 \times 0.03 = 246.9\)euros. Therefore, the remaining balance after the first year is 8230 + 246.9 = 8476.9 euros.

In the second year, James again pays off 770 euros, and the interest on the remaining balance of 8476.9 - 770 = 7706.9 euros is \(7706.9 \times 0.03 = 231.21\) euros. The remaining balance after the second year is 7706.9 + 231.21 = 7938.11 euros.

This process continues until the remaining balance reaches zero. We can set up the equation \((9000 - x) + 0.03 \times (9000 - x) = x\), where x represents the remaining balance.

Simplifying the equation, we get 9000 - x + 270 - 0.03x = x.

Combining like terms, we have 9000 + 270 = 1.04x.

Solving for x, we find x = 9270 / 1.04 = 8913.46 euros.

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Answer:

Krutika gets 32 sweets

Step-by-step explanation:

Let the number of sweets be x

Bridget= 5x sweets

Jim= 2x sweets

Krutika= 4x sweets

5x= 40; x= 40/5; x=8

Krutika gets 4x= 4×8

Krutika gets 32 sweets

Answer:

13

Step-by-step explanation:

The temperature -6°C is colder than 3°C, -6°C is closer to the freezing temperature, and -6°C has a smaller absolute value.

The absolute value of a number is the magnitude or distance of that number from zero on the number line, regardless of its sign. It is denoted by two vertical bars surrounding the number, and is always a non-negative value.

According to the given information:

a. 1°C: This describes a temperature that is 1 degree above freezing point.

b. -4°C: This describes a temperature that is 4 degrees below freezing point.

c. [12]°C: The notation "[12]°C" is not clear and may not represent a specific temperature. It needs further clarification or context.

d. 1-71°C: The notation "1-71°C" is not clear and may not represent a specific temperature. It needs further clarification or context.

To answer the remaining questions:

1.Temperature -6°C is colder than 3°C as it is 6 degrees below freezing point, while 3°C is 3 degrees above freezing point.

2.Temperature -6°C is closer to the freezing temperature as it is only 6 degrees below freezing point, while 3°C is 3 degrees above freezing point.

3. Temperature -6°C has a smaller absolute value as it represents a temperature that is 6 degrees below freezing point, while 3°C represents a temperature that is 3 degrees above freezing point. Absolute value is the magnitude of a number without considering its sign, so a smaller absolute value indicates a temperature closer to zero or freezing point.

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