Write the equation of a line that is perpendicular to y = 5 and that passes through the point (-7,-5).

Answer:

c

Step-by-step explanation:

Answer:

12 quarters, 15 dimes

Step-by-step explanation:

Let q be the number of quarters and d be the number of dimes. We set up and solve this system of equations:

.10d + .25q = 4.50

d = 3 + q

.10(3 + q) + .25q = 4.50

.30 + .10q + .25q = 4.50

.30 + .35q = 4.50

.35q = 4.20

q = 12, d = 15

Answer:

\(x = 5\)

Step-by-step explanation:

Answer:

\(x=5\)

Step-by-step explanation:

Answer:

Step-by-step explanation:

See attachment

Answer:

Solution given:

length [l]=h

for triangle

base[b]=4.8m

height [H]=6.1m

Now

area of triangular face=½{b*H)=½(4.8*6.1)=14.64m²

Volume of triangular prism =80.52m³

area of triangular faces×length=80.52

14.64*h=80.52

h=80.52/14.64

h=5.5m

height=5.5m

Area of base

Now

Answer:

139.3701 inches

Step-by-step explanation:

Answer:

3.54 meters = 139.3701 inches

The side of the square equals half the minor axis of the ellipse.

To show that the side of the square is half the minor axis of the ellipse, we must prove that the angles of the ellipses and the squares are congruent. To do this, we must first draw in the diagonals of the square, which will form two additional isosceles triangles.

Since the ellipses are perpendicular, the angles of the ellipses and the squares will be the same. Since the angles of the isosceles triangles are equal, the side of the square must be equal to half of the minor axis of the ellipse. Therefore, the side of the square is equal to half of the minor axis of the ellipse.

For more questions like Minor axis click the link below:

https://brainly.com/question/29054958

#SPJ4

The sine x or sine theta can be defined as the ratio of the opposite side of a right triangle to its hypotenuse.

The sine function relates a real number t to the y-coordinate of the point where the corresponding angle intercepts the unit circle.

Trigonometric functions are also known as Circular Functions can be simply defined as the functions of an angle of a triangle. It means that the relationship between the angles and sides of a triangle are given by these trig functions.

Trigonometric functions are functions that relate an angle in a right angled triangle to the ratio of two of its sides. Sin , cos and tan are trigonometric functions.

Learn more about Trigonometric functions at:

https://brainly.com/question/13019801

#SPJ4

The recursive rule of the function is aₙ = aₙ₋₁ - 30

From the question, we have the following sequence that can be used in our computation:

67 ,37 ,7, -23, -53

In the above sequence, we can see that the 30 is subtracted from the previous term to get the current term

Using the above as a guide,

So, we have the following representation

aₙ = aₙ₋₁ - 30

The above represents the recursive rule

Hence, the recursive formula of the sequence is aₙ = aₙ₋₁ - 30

Read more about sequence at

brainly.com/question/7882626

#SPJ1

When testing the differences between means, the null hypothesis suggests that any observed difference is due to random error.

What is hypothesis testing?

Hypothesis testing is a form of interference that uses data from a given data set or sample to derive meaningful results or conclusions about population distribution.

What is a Null hypothesis?

A null hypothesis is a type of assumption in statistics that proposes that for a given set of data or observations, there is no statistical significance or it shows that there is no difference.

It is a quantitative analysis. It is denoted by H0.

What is mean?

The mean is the average for a given number of samples in the sample solution. The mean can also be derived from the normal distribution graph.

Hence when testing the differences between means, the null hypothesis suggests that any observed difference is due to random error.

Know more about “hypothesis” here: https://brainly.com/question/17099835

#SPJ4

The value of sinx is 1 - 3cosx

What is Trigonometry?

Trigonometry is a field of mathematics that explores the connections between triangle side lengths and angles. The topic arose in the Hellenistic civilization during the third century BC from geometric applications to astronomical research. Today, four varieties of trigonometry are used: core, plane, spherical, and analytic. The ratio of the sides and angles of a right triangle is the subject of core trigonometry.

Solution:

1/cosx - tanx = 3

we can write tanx as sinx/cosx

this is because we know that sinx = Perpendicular / Hypotenuse

and cosx = Base / Hypotenuse

so if we divide sinx by cosx we will find that it is equal to Perpendicular / Base which is nothing but tanx

1-sinx = 3cosx

sinx = 1 - 3cosx

To learn more about Trigonometry from the given link

https://brainly.com/question/24349828

#SPJ1

Andy made a deposit to his checking account and received $50 in cash. His deposit slip shows a total deposit of $500. If he deposits checks worth 4 times the value of the currency deposited, we need to find the amount he deposited in currency and checks.

Let's denote the amount deposited in currency as "C" dollars. According to the information given, Andy received $50 in cash, so we have:

C + $50 = $500

Simplifying the equation, we find:

C = $500 - $50

C = $450

Now, we need to find the amount deposited in checks, denoted as "X" dollars. The checks are worth 4 times the value of the currency deposited, so we have:

X = 4 * C

X = 4 * $450

X = $1800

Therefore, Andy deposited $450 in currency and $1800 in checks, resulting in a total deposit of $500.

Learn more about deposit here:

https://brainly.com/question/28273286

#SPJ11

Answer:

For your question the answer will be 7.6 meters a second. So the third answer

A 2.5-foot-radius sand mandala's surface area is 19.63 square feet.

A Tibetan Buddhist practise known as "sand mandala" involves building and tearing down mandalas composed of different coloured sand. The ritualistic breakdown of the sand mandala is followed by ceremonies and viewing when it is finished to represent Buddhism's doctrine on the fleeting nature of material life.

Here is how to calculate a circle's area:

Circle area is equal to  πr² (where r is the radius of the circle)

We can use the radius value that has been provided to solve for the area using the following formula:

The sand mandala's size is πr²= π(2.5)²= π(6.25)= 19.63 square feet.

Hence, the sand mandala has a 19.63 square foot surface area.

For more such questions on Surface area

https://brainly.com/question/26403859

#SPJ11

Answer:

Inequality: 0.08x + 2300 ≥ 2800

Liz needs to sell products of $6250 at least.

Step-by-step explanation:

Given that:

Per month salary of Liz = $2300

Commission = 8% = \(\frac{8}{100}}\) = 0.08

Amount Liz wants to earn = $2800

Let,

x be the amount of sales.

0.08x + 2300 ≥ 2800

0.08x ≥ 2800 - 2300

0.08x ≥ 500

Dividing both sides by 0.08

\(\frac{0.08x}{0.08}\geq \frac{500}{0.08}\\x\geq 6250\)

Hence,

Liz needs to sell products of $6250 at least.

Answer:

90°

Step-by-step explanation:

NE=90° and NG=180° (<'s on a str. line)

NG=NE+GE

180°=90°-GE

GE=180°-90°

GE=90°

The interval which could contain a solution to f(x) = 0 is; Choice C; -1<x<0.

According to the task content, it follows that the interval which contains a solution to f(x) = 0.

On this note, it follows that f(x) = 0 lies between the points f(x) =-1 and f(x) = 2 which corresponds to Choice C.

Read more on functions;

https://brainly.com/question/6561461

#SPJ1

Step-by-step explanation:

1) 2.057 kg

2)1.25× 10^-1 um

3)65.8km

4)2.78 × 10^2 mg

5)9.44 yards

6) 5.91ft

7)200000cm^3

8)1287.48km

To solve this problem, we can use the principle of inclusion-exclusion.

First, let's find the total number of ways to select n students from a class of 5n:

Total ways = (5n choose n) = (5n)! / (n!*(5n-n)!) = (5n)! / (n!*(4n)!)

Answer:

the answer is C

Step-by-step explanation:

just divide 42.75 by 9

75 is 15% of 500!! If you get it wrong IM SO SORRY!!

Answer: 113.3333 (repeating 3’s)

Step-by-step explanation:

17 = 15%

divide 15 and 17 by 3 to get 5% and then multiply by 2 to get 10%

11.33 = 10%

multiply 10 and 11.33 by 10 to get 100%

113.33 = 100%

Answer:

y=x+2

Step-by-step explanation:

slope-intercept form-----> y=mx+b where m=slope and b=y-intercept

4x-4y=-8

4y=4x-(-8)

4y=4x+8

y=4/4x+8/4

y=x+2

Using measurement conversions and mathematical operations, the costs for the two wire buyer are as follows:

The first step in determining the costs spent by each buyer is to find the unit cost per inch.

Using the division operation, the unit cost for the given lengths remains at $0.03, respectively.

The second step involves converting the given measurements to inches, using the following measurement formulas:

1 yard = 36 inches

12 inches = 1 foot

1 yard = 3 feet

The last step is determining the product of inches of wire and the unit cost.

Cost of Wire

Length in Inches​ (x)  Cost in dollars.(y)  Cost per inch

       100                           3.00                        $0.03 ($3.00/100)

       125                           3.75                        $0.03 ($3.75/1125)

       150                          4.50                        $0.03 ($4.50/150)

       185                          5.55                        $0.03 ($5.55/185)

The length of wire Andy needs = 21 feet

21 feet = 252 inches (21 x 12)

252 inches of wire cost = $7.56 (252 x $0.03).

The length of wire Emily needs = 14 yards

14 yards = 504 inches (14 x 36)

504 inches of wire cost = $15.12 ($504 x $0.03).

Learn more about units of measurement at https://brainly.com/question/777464

#SPJ1

Hello! :)

15 - 2x = 3x Simplify both sides of the equation

15 - 2x = 3x

-2x + 15 =3x

-2x + 15 - 3x  = 3x -3x Subtract 3x from both sides

-5x + 15 = 0

-5x + 15 - 15 = 0 - 15 Subtract 15 from both sides

-5x = -15

- 5x/-5 = -15/-5

x = 3 (ANSWER)

Hope this helped you

THEDIPER

1. The transition matrix from C to E is:

| 3  -1 |

| 0  -1 |

2. The transition matrix from B to E is:

| -1  -1 |

|  4   3 |

a. To find the transition matrix from C to the standard ordered basis E, we need to express the vectors in C in terms of the vectors in E.

C = ((3,0),(-1,-1))

E = ((1,0),(0,1))

To find the transition matrix, we need to determine how the vectors in C can be expressed as linear combinations of the vectors in E.

(3,0) = 3(1,0) + 0(0,1) = (3,0)

(-1,-1) = -1(1,0) + (-1)(0,1) = (-1,-1)

Therefore, the transition matrix from C to E is:

| 3  -1 |

| 0  -1 |

b. To find the transition matrix from B to E, we need to express the vectors in B in terms of the vectors in E.

B = ((-1,4),(-1,3))

E = ((1,0),(0,1))

To find the transition matrix, we need to determine how the vectors in B can be expressed as linear combinations of the vectors in E.

(-1,4) = -1(1,0) + 4(0,1) = (-1,4)

(-1,3) = -1(1,0) + 3(0,1) = (-1,3)

Therefore, the transition matrix from B to E is:

| -1  -1 |

|  4   3 |

c. To find the transition matrix from E to B, we need to express the vectors in E in terms of the vectors in B.

E = ((1,0),(0,1))

B = ((-1,4),(-1,3))

To find the transition matrix, we need to determine how the vectors in E can be expressed as linear combinations of the vectors in B.

(1,0) = -1(-1,4) + (-1)(-1,3) = (1,0)

(0,1) = 4(-1,4) + 3(-1,3) = (-1,1)

Therefore, the transition matrix from E to B is:

| -1  -1 |

|  4   3 |

d. To find the transition matrix from C to B, we need to express the vectors in C in terms of the vectors in B.

C = ((3,0),(-1,-1))

B = ((-1,4),(-1,3))

To find the transition matrix, we need to determine how the vectors in C can be expressed as linear combinations of the vectors in B.

(3,0) = -1(-1,4) + 0(-1,3) = (1,-4)

(-1,-1) = -1(-1,4) + (-1)(-1,3) = (-2,1)

Therefore, the transition matrix from C to B is:

|  1  -2 |

| -4   1 |

Learn more about Transition Matrix here:

https://brainly.com/question/32572810

#SPJ4

The percent increase in the volume of the prism is 33.1%.

We have,

To calculate the percent increase in the volume of a rectangular prism when all dimensions are increased by 10%, we can use the formula:

Percent Increase

= (New Volume - Original Volume) / Original Volume x 100

Let's denote the original width, length, and height as W, L, and H, respectively.

The original volume (V1) can be calculated as:

V1 = W x L x H

After increasing each dimension by 10%, the new width, length, and height become 1.1W, 1.1L, and 1.1H, respectively.

The new volume (V2) can be calculated as:

V2 = (1.1W) x (1.1L) x (1.1H) = 1.331W x L x H

Now, we can substitute the values into the percent increase formula:

Percent Increase = (V2 - V1) / V1 x 100

= (1.331W x L x H - W x L x H) / (W x L x H) x 100

= 0.331 x 100

= 33.1%

Therefore,

The percent increase in the volume of the prism is 33.1%.

Learn more about Prism here:

https://brainly.com/question/12649592

#SPJ4

The percent increase in the volume of the prism is 33.1%.

Given:

To the percent increase in the volume of a rectangular prism when all dimensions are increased by 10%.

The formula for percent increase is as:

Percent Increase = (New Volume - Original Volume)/Original Volume × 100

The original width, length, and height as W, L, and H, respectively.

The original volume (V₁) can be calculated as:

V₁ = W x L x H

After increasing each dimension by 10%, the new width, length, and height become 1.1 W, 1.1 L, and 1.1 H, respectively.

The new volume (V₂) can be calculated as:

V₂ = (1.1 W) x (1.1 L) x (1.1 H) = 1.331 (W x L x H)

Now, we can substitute the values into the percent increase formula:

Percent Increase = (V₂ - V₁) / V₁ x 100

                             = (1.331 W x L x H - W x L x H) / (W x L x H) x 100

                             = 0.331 x 100

                             = 33.1%

Therefore, the percent increase in the volume of the prism is 33.1%.

Learn more about Prism here:

brainly.com/question/12649592

#SPJ4

Answer:

The sides are not equal

Therefore, there is NO SOLUTION.

Step-by-step explanation:

Given the expression

\(5\left(x+4\right)=5x-3\)

Expanding

\(5x+20=5x-3\)

subtract 20 from both sides

\(5x+20-20=5x-3-20\)

\(5x=5x-23\)

subtract 5x from both sides

\(5x-5x=5x-23-5x\)

\(0=-23\)

The sides are not equal

Therefore, there is NO SOLUTION.

Louis total distance of 8/5 km. Louis rose his bicycle a total distance of 8/5 km.

Louis rose his bicycle a total distance of 1/2 km + 3/4 km + 7/10 km.

To find the total distance, we need to find a common denominator for the fractions: 2, 4, and 10.

The least common denominator is 20.

So, 1/2 km can be written as 10/20 km, 3/4 km can be written as 15/20 km, and 7/10 km remains the same.

Adding these fractions together, we have:

10/20 km + 15/20 km + 7/10 km = 32/20 km

Simplifying this fraction, we get:

32/20 km = 8/5 km

Therefore, Louis rose a total distance of 8/5 km.

Two know more about distance visit:

https://brainly.com/question/15172156

#SPJ11

Louis rode a total distance of 8/5 km or 1 and 3/5 km

Louis rode his bicycle a total of 1/2 km to school, 3/4 km to a ball field, and 7/10 km back home. To find the total distance Louis traveled, we need to add up these three distances.

First, let's add 1/2 km and 3/4 km. To add fractions with different denominators, we need to find a common denominator. The least common multiple of 2 and 4 is 4.

Converting 1/2 to have a denominator of 4, we get 2/4. Now we can add 2/4 + 3/4, which equals 5/4.

Next, we need to add 5/4 km and 7/10 km. To add fractions with different denominators, we need to find a common denominator. The least common multiple of 4 and 10 is 20.

Converting 5/4 to have a denominator of 20, we get 25/20. Now we can add 25/20 + 7/10, which equals 32/20.

To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 4. Dividing 32/4 and 20/4, we get 8/5.

Learn more about least common multiple

https://brainly.com/question/30060162

#SPJ11

Answer:

x = 33

Step-by-step explanation:

(33) + (3 · 33) + (33+15) = 180

Answer:

I=69 t=207 h=84

Step-by-step explanation:

X+3x+(x+15)=360

Combine like terms

5x+15=360

Subtract 15 from both sides

5x=360-15

5x=345

Divide by 5

X=69