Leah has two savings accounts with balances totaling $8,000. She withdrew 15% from one and
40% from the other. If she has $6,350 remaining in the accounts, how much money did she
withdraw from the account with the larger balance?

Answer:

H (13, -16)

Step-by-step explanation:

\(\boxed{\begin{minipage}{7.4 cm}\underline{Midpoint between two points}\\\\Midpoint $=\left(\dfrac{x_2+x_1}{2},\dfrac{y_2+y_1}{2}\right)$\\\\\\where $(x_1,y_1)$ and $(x_2,y_2)$ are the endpoints.\\\end{minipage}}\)

Given:

Substitute the given endpoint G and midpoint M into the midpoint formula:

\(\implies M=\left(\dfrac{x_H+x_G}{2},\dfrac{y_H+y_G}{2}\right)\)

\(\implies (3, 4)=\left(\dfrac{x_H-7}{2},\dfrac{y_H+24}{2}\right)\)

x-value of endpoint H:

\(\implies 3=\dfrac{x_H-7}{2}\)

\(\implies 6=x_H-7\)

\(\implies x_H=13\)

y-value of endpoint H:

\(\implies 4=\dfrac{y_H+24}{2}\)

\(\implies8=y_H+24\)

\(\implies y_H=-16\)

Therefore, the coordinates of endpoint H are:

Answer: 13 -16

Step-by-step explanation: Edge 2023

Answer: C

Step-by-step explanation: Something Something Of math

The values of the sides are;

41. x = 18√3. Option D

42. x = 6√3. Option A

Using the different trigonometric identities, we have;

41. Using the tangent identity, we have;

tan 60 = 9√2/y

cross multiply the values

y =9√2 ×√3

y = 9√6

Using the sine identity;

sin 45 = y/x

1/√2 = 9√6/x

cross multiply the values, we have;

x = 9√2 ×√3 ×√2

x = 18√3

42. Using the cosine identity

cos 60 = 3√3 /x

cross multiply, we have;

x = 6√3

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Answer:

30

Step-by-step explanation:

Answer:  it takes 7.5 seconds for the object to reach the ground.

Step-by-step explanation:

The equation for the height of the object is h=-16t^2+900. To find the time when the object reaches the ground, we need to find the value of t when h=0.

Therefore, we can set h=-16t^2+900 = 0 and solve for t:

-16t^2+900 = 0

-16t^2 = -900

t^2 = 56.25

t = sqrt(56.25)

t = 7.5

So, it takes 7.5 seconds for the object to reach the ground.

1. Variable manufacturing overhead rate variance

The formula Actual Hours × (Actual Rate - Standard Rate) is used to calculate the variable manufacturing overhead rate variance. This variance measures the difference between the actual variable manufacturing overhead cost incurred and the standard variable manufacturing overhead cost that should have been incurred, based on the standard rate per hour.

Variable manufacturing overhead rate variance = Actual Hours × (Actual Rate - Standard Rate)

The variable manufacturing overhead rate variance provides insight into how efficiently a company is utilizing its variable manufacturing overhead resources in terms of the rate per hour. A positive variance indicates that the actual rate paid per hour for variable manufacturing overhead was higher than the standard rate, resulting in higher costs. On the other hand, a negative variance suggests that the actual rate paid per hour was lower than the standard rate, leading to cost savings.

By analyzing this variance, management can identify areas where the company may be overspending or underspending on variable manufacturing overhead and take corrective actions accordingly, such as renegotiating supplier contracts or optimizing resource allocation.

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Answer:

5x^2 + 17xy - 12y^2

5x^2 + 5xy + 12xy - 12y^2

5x (x - y ) + 12 y ( x - y )

(5x + 12y ) (x-y).

Step-by-step explanation:

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

Work Shown:

y - 6 = -(x + 4)

y - 6 = -x - 4

y = -x - 4 + 6 ..... adding 6 to both sides

y = -x + 2

y + x = 2 .... adding x to both sides

x + y = 2

The equation is in standard form Ax+By = C, with A = 1, B = 1, and C = 2.

Answer:

342

Step-by-step explanation:

36476

In the trapezoid ABCD , when AB || DC and M, N are the midpoint of AD and BC then the value of AB , DC , and MN is equal to 26, 10, and 18 respectively.

In trapezoid ABCD,

AB || DC

AB = 7x + 5

DC = 4x -2

MN = 5x + 3

Using midpoint segment of two parallel lines in a trapezoid we have,

( AB + DC ) / 2 = MN

Substitute the value of AB, DC, and MN we get,

⇒ ( 7x + 5 + 4x -2 )/ 2 = 5x + 3

⇒11x + 3 = 10x + 6

⇒x = 3

⇒ AB = 7(3) + 5

         = 26

DC = 4(3) -2

      = 10

MN = 5(3) + 3

      = 18

Therefore, the value of AB, DC, and MN in the trapezoid ABCD is equal to 26, 10, and 18 respectively.

The above question is incomplete, the complete question is :

The drawing shows trapezoid ABCD with AB||DC; also, M and N are midpoints of AD and BC, respectively. Given: AB=7x+5, DC=4x−2, and MN=5x+3 find the value of AB, DC, and MN for the calculated value of  x.

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Yes, 5:10 and 2:4 are equivalent.

5:10 (simplified) = 1:2

2:4 (simplified) = 1:2

Hope this helps; have a great day!

Answer:

Yes

Step-by-step explanation:

5:10 is equivalent to 2:4

Both can be simplified to 1:2

Answer:

b=180°-69° (adj angles on a str line)

=111°

A nautical mile is a unit of distance used in navigation and is equivalent to 1.852 kilometers or 1.15 miles.

A knot, on the other hand, is a unit of speed. One knot is equivalent to one nautical mile per hour. In other words, a speed of one knot is the speed at which a vessel covers one nautical mile in one hour.

This unit is commonly used by mariners to report their speed and the speed of other vessels.

In conclusion, a nautical mile is a unit of distance used in navigation, while a knot is a unit of speed, equivalent to one nautical mile per hour.

Understanding the difference between these two units is important for anyone working in the field of navigation and seafaring.

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Answer:

m= -3

b= 4

Step-by-step explanation:

whatever number has x next to it is always slope, that is how you find slope in a equation. To find y-intercept (b) you can just use the other number that doesn't have x to it.

Hope this helps!!!

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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Answer:

you can cut the shape into two pieces and find the answer the area for each piece individually

Answer:

m/2 or 1/2m

Step-by-step explanation:

Answer:

MAYBE

Step-by-step explanation:

Answer:

SORRY

Step-by-step explanation:

ANSWERAnswer:

SORRY

Step-by-step explanation:

ANSWERAnswer:

SORRY

Step-by-step explanation:

ANSWERAnswer:

SORRY

Step-by-step explanation:

ANSWERAnswer:

SORRY

Step-by-step explanation:

ANSWERAnswer:

SORRY

Step-by-step explanation:

ANSWERAnswer:

SORRY

Step-by-step explanation:

ANSWERAnswer:

SORRY

Step-by-step explanation:

ANSWERAnswer:

SORRY

Step-by-step explanation:

ANSWERAnswer:

SORRY

Step-by-step explanation:

ANSWERAnswer:

SORRY

Step-by-step explanation:

ANSWERAnswer:

SORRY

Step-by-step explanation:

ANSWERAnswer:

SORRY

Step-by-step explanation:

ANSWER

SOORY

Answer:

x + (x+2) = 72

2x + 2 = 72

2x = 70

x = 35

The two odd numbers are 35 and 37.

The number that lies between is 36.

Step-by-step explanation:

Answer:

The slope is 1/5.

The slope means that the puppy's weight is slowly increasing over time.

To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points.

Answer:

4/3

Step-by-step explanation:

gradient=

\( \frac{change \: in \: y}{change \: in \: x?} \)

7--5=12

16-7=9

12÷9=4/3

the gradient is the same as slope

thus the answer is 4/3

Answer:

a=10

Step-by-step explanation:

Answer:

7 months

Step-by-step explanation:

just took the test

Answer:

The age of baby is 7 month.

Step-by-step explanation:

The slope is the number "m" multiplied on the x in the equation of a straight line (when written as "y = mx + b"), and the y-intercept is "b." (that is, the point where the line crosses the vertical y-axis).

\(1.2 * 7 + 8.9 = 17.3 & 17.3\)

is close to \(17.5\)

Hence, the age of baby is 7 month.

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The main difference between 'sig_1a.mat' and 'sig_1b.mat' in the frequency domain is the distribution of spectral , sig_1b.mat', indicating variations in the frequency content of the signals.

In the frequency domain, signals are represented by their spectral components, which describe the presence of different frequencies. The difference between 'sig_1a.mat' and 'sig_1b.mat' lies in the distribution of these spectral components.

The frequency distribution in 'sig_1a.mat' may exhibit distinct peaks at specific frequencies, indicating the dominance of those frequencies in the signal. On the other hand, 'sig_1b.mat' might have a more spread-out or uniform distribution of spectral components, suggesting a more balanced or broad frequency content.

The specific variations in the frequency domain between 'sig_1a.mat' and 'sig_1b.mat' could include differences in the amplitude, location, and number of spectral peaks. The comparison in the frequency domain provides insights into the distinct frequency characteristics and content of the signals, highlighting their unique spectral profiles.

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The combined height of the flower pot and the shelf is 345 cm

Given the height of the flower pot is 85 cm and the height of the shelf is 260 cm, we are to find the combined height of the flower pot and shelf.

To find the combined height, we need to add the height of the flower pot and the height of the shelf.

So, Combined height of flower pot and shelf = Height of the flower pot + Height of the shelf Combined height of flower pot and shelf = 85 cm + 260 cm

Combined height of flower pot and shelf = 345 cm

Therefore, the combined height of the flower pot and the shelf is 345 cm.

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Answer:

He needs 0.275 cups of orange juice to reach his estimates

Step-by-step explanation:

Patel estimates he needs 2 cups of orange juice for his family . He squeezed fresh juice from 5 different oranges and got the following quantities measured in cups.

4/17 cups, 3/10 cups , 9/20 cups, 3/11 cups and 7/15 cups.

Adding them together we will know the amount he got. Therefore,

4/17 + 3/10 + 9/20 + 3/11 + 7/15

(40 + 51)/170  + 9/20 + 3/11 + 7/15

91/170 + 9/20 + (45 + 77)/165

(1820 + 1530)/3400 + 122/165

3350/3400 + 122/165

0.98529411764 + 0.73939393939

1.72468805703

Patel got approximately 1.725 cups of orange juice . He will  require 2 - 1.725 = 0.275 cups of orange juice to reach his estimates.

1/2 cup of orange juice

There are 2 tusks for every  8 whiskers.

There is 1 tusk for every 4 whiskers.

How are the ratios calculated?

First image:

Number of whiskers in the first image = 4

Number of tusks in the first image = 0

Second image:

Number of whiskers in the second image = 4

Number if tusks in the second image = 2

Total number of whiskers = 4+4

                                           = 8

Total number of tusks = 0 + 2

                                     = 2

Rewriting as ratios,

a) Tusks: whiskers

     2: 8

So, from the ratio, there are 2 tusks for every 8 whiskers.

b) Tusks: whiskers

     2: 8

     1 : 4

So, from the ratio, there is 1 tusk for every 4 whiskers.

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Answer:

A

Step-by-step explanation:

I hope this helped you out

Answer:3148521

Step-by-step explanation: cuz ik everything

Answer:

The answer is quad 1 and quad 2 are congruent because quad 2 can be created rotating and then translating quad 1

Step-by-step explanation: