Ex) what is the ratio? Of 5:35

Answer:

y = - 2x + 10

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = - 2 , then

y = - 2x + c

to find c substitute (4, 2 ) into the equation

2 = - 8 + c ⇒ c = 2 + 8 = 10

y = - 2x + 10 ← equation of line

Answer:

y = - 2x + 10

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = - 2 , then

y = - 2x + c

To find c we must substitute (4, 2 ) into the equation

2 = - 8 + c, c = 2 + 8 = 10

y = - 2x + 10

Answer:

hmmmmm

Step-by-step explanation:

Answer:

m∠SRT = 47°

Step-by-step explanation:

The measure of an inscribed angle is 1/2 the measure of the intercepted arc.

So,

16x - 1 = 1/2(30x + 4) = 15x + 2

x - 1 = 2

x = 3

m∠SRT = 16(3) - 1 = 48 - 1 = 47

Answer:

C and A : ) : )

If you're looking for an anime to watch, watch Dororo if you haven't already

Answer:

C and A

Step-by-step explanation:

Edge 2021

Answer:

tan(84)=x/50

Step-by-step explanation:

The equation that  help determine the maximum height of the rocket in feet is tan(84°) = \(\frac{h}{50}\)

Trigonometric ratios are the ratios of the length of sides of a triangle. These ratios in trigonometry relate the ratio of sides of a right triangle to the respective angle.

The basic trigonometric ratios formulas are given below,

sin θ = Perpendicular/Hypotenuse

cos θ = Base/Hypotenuse

tan θ = Perpendicular/Base

sec θ = Hypotenuse/Base

cosec θ = Hypotenuse/Perpendicular

cot θ = Base/Perpendicular

According to the question

Rocket builder moved 50 feet away from the base before launching his model rocket straight up in to the air.

i.e Base of right angle triangle = 50

The rocket reached its maximum height when the angle of elevation from the observer was 84 degrees

i,.e angle of elevation from the observer was = 84°

angle between hypotenuse and base =  84°

Now,

Height of the rocket from the ground = Perpendicular = h

So,

By trigonometric ratios

tan θ = \(\frac{Perpendicular}{Base}\)

tan(84°) = \(\frac{h}{50}\)

Hence, the equation that  help determine the maximum height of the rocket in feet is tan(84°) = \(\frac{h}{50}\)

To know more about trigonometric ratios here:

https://brainly.com/question/1201366

#SPJ2

To identify the vertical asymptotes, we have to factor the denominator. For horizontal asymptotes, we compare the degrees of the numerator and denominator.

For rational functions, there are vertical and horizontal asymptotes. To identify the vertical asymptotes, we first have to factor the denominator. After that, we should look for values that make the denominator zero. These values can be found by setting the denominator equal to zero and solving for x. The resulting x values would be the vertical asymptotes of the function.

The horizontal asymptote is the line that the function approaches as x goes towards infinity or negative infinity. For rational functions, the horizontal asymptote is found by comparing the degrees of the numerator and the denominator.

If the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is y = 0. If the degree of the numerator is equal to the degree of the denominator, the horizontal asymptote is y = the ratio of the leading coefficients. If the degree of the numerator is greater than the degree of the denominator, there is no horizontal asymptote.

To know more about the vertical asymptotes visit:

https://brainly.com/question/31315562

#SPJ11

a) A department manager receiving an allocation of costs will care about management's methodology of overhead allocation because the overhead costs allocated to their department will have a direct impact on the department's profitability and cost efficiency.

b) The allocation base is the measure used to determine how much of the overhead costs should be allocated to a particular department or product, while the allocation rate is the amount of overhead costs allocated to each unit of the allocation base

c) Budgets are an important tool for cost planning, but their effectiveness depends on how well they are developed and implemented.

a) If the allocation method used by management is not accurate or fair, it could result in the department being burdened with more costs than they actually incur, which could affect their ability to meet their targets and objectives. It is, therefore, important for department managers to ensure that the allocation of costs is done fairly and accurately.

b) The allocation base and rate are important because they determine how the overhead costs are allocated to different departments or products.

Different allocation bases and rates can result in significantly different amounts of overhead costs being allocated to different departments or products, which can impact their profitability. While all of the overhead costs eventually make their way to the income statement, the allocation of these costs can have a significant impact on the accuracy of the income statement and the ability of the organization to make informed decisions.

c) Budgets can be helpful in providing a roadmap for achieving the organization's goals and objectives, but they need to be flexible enough to adapt to changing circumstances and priorities.

The budget(s) that are most important to the organization's success will depend on the nature of the organization and its objectives. However, typically the operating budget, capital budget, and cash budget are the most important budgets for most organizations.

The government's budget process is similar to the operating budgeting process described in the chapter in that it involves the development of a budget to allocate resources and achieve goals. However, the government's budget process is more complex and involves additional considerations such as political priorities and public opinion. Additionally, the government's budget process involves a more detailed review and approval process than the operating budgeting process.

To learn more about Budgets refer:-

https://brainly.com/question/31952035

#SPJ11

Answer:

1260 degrees

Step-by-step explanation:

The volume of a sphere with a radius of 7 cm (or diameter of 12 cm) is 904.32 cubic centimeters.

To find the volume of a sphere with a radius of 7 cm, we can use the formula:

V = (4/3) * π * r^3

where V represents the volume and r represents the radius. However, you mentioned that the diameter of the sphere is 12 cm, so we need to adjust the radius accordingly.

The diameter of a sphere is twice the radius, so the radius of this sphere is 12 cm / 2 = 6 cm. Now we can calculate the volume using the formula:

V = (4/3) * π * (6 cm)^3

V = (4/3) * 3.14 * (6 cm)^3

V = (4/3) * 3.14 * 216 cm^3

V = 904.32 cm^3

For more such questions on volume

https://brainly.com/question/463363

#SPJ8

If the arrival times of Caryl's school bus are distributed on a normal curve, the standard deviation would enable Caryl to estimate the probability that her bus will arrive within 5 minutes of its scheduled arrival time on any given day.

The standard deviation is a statistic that measures the amount of variation or dispersion from the central tendency of a set of data values. A low standard deviation indicates that the data is tightly clustered around the mean or average, while a high standard deviation indicates that the data is more spread out.

The standard deviation is particularly useful when dealing with normally distributed data, as it allows us to estimate the probability of a certain range of values occurring. In this case, Caryl can use the standard deviation to estimate the probability that her bus will arrive within 5 minutes of its scheduled arrival time on any given day.

Hence, option c. standard deviation would enable Caryl to estimate the probability that her bus will arrive within 5 minutes of its scheduled arrival time on any given day.

To learn more about deviation visit;

https://brainly.com/question/31835352

#SPJ11

The height of BC is 14 meters.

Angle BMC is approximately 37.41 degrees.

Angle AMB is approximately 52.59 degrees.

To solve the problem, we can use the properties of similar triangles.

Let's consider triangles BMC and AMB.

Height of BC:

Since triangles BMC and AMB are similar, we can set up the following proportion:

BC / AM = MC / BM

Plugging in the given values, we have:

BC / 24 = 18.3 / (24 + BC)

Cross-multiplying the equation:

BC(24 + BC) = 18.3 × 24

Expanding and rearranging the equation:

24BC + BC² = 439.2

Rearranging to quadratic form:

BC² + 24BC - 439.2 = 0

Now we can solve this quadratic equation.

Factoring the equation or using the quadratic formula, we find:

(BC - 14)(BC + 38.8) = 0

Since the height cannot be negative, BC = 14 meters.

Angle BMC:

To find the angle BMC, we can use the inverse tangent function:

tan(BMC) = BC / MC

tan(BMC) = 14 / 18.3

BMC = arctan(14 / 18.3)

Using a calculator, we find BMC ≈ 37.41 degrees.

Angle AMB:

Since angle AMB is complementary to angle BMC, we can calculate it by subtracting BMC from 90 degrees:

AMB = 90 - BMC

AMB = 90 - 37.41

AMB ≈ 52.59 degrees.

For similar questions on height

https://brainly.com/question/28990670

#SPJ11

Answer:

Yes

Step-by-step explanation:

Cause the 1 is there for no reason

The volume of the solid obtained by rotating the region bounded by y = ln(x), y = 0, and x = 4 about the x-axis using the method of cylindrical shells.

To set up the integral for the volume of the solid obtained by rotating the region bounded by the curves y = ln(x), y = 0, and x = 4 about the x-axis using the method of cylindrical shells, we can follow these steps:

Draw a rough sketch of the region and the axis of rotation to visualize the shape of the solid.

Since we are using the method of cylindrical shells, we need to express the volume of each shell in terms of the radius and height. The radius of each shell is the distance from the x-axis to the curve y = ln(x), which is given by r = y. The height of each shell is the difference between the x-coordinates of the two bounding curves, which is h = 4 - x.

The integral for the volume of the solid is given by the sum of the volumes of all the cylindrical shells. We can express the volume of each shell as:

dV = 2πrh dx

where r = y and h = 4 - x.

The limits of integration for x are 0 to 4, since the region is bounded by the curves y = ln(x), y = 0, and x = 4. Therefore, the integral for the volume of the solid is:

V = ∫[0,4] 2πy(4-x) dx

Note that we are integrating with respect to x, since the shells are vertical and have a width of dx. However, we can express y in terms of x using the equation y = ln(x), which gives:

V = ∫[0,4] 2πln(x)(4-x) dx

This integral represents the volume of the solid obtained by rotating the region bounded by y = ln(x), y = 0, and x = 4 about the x-axis using the method of cylindrical shells.

Learn more about volume here

https://brainly.com/question/27710307

#SPJ11

Answer:

135 = rate

Step-by-step explanation:

Sam needs to drive at 135 mph to cover the remaining distance and achieve an average speed of 60 mph for the entire trip. However, it's important to note that this speed is not only unsafe, but also illegal and impossible to achieve in most vehicles. Therefore, in practical terms, it is not possible for Sam to achieve an average speed of 60 mph for the entire trip.

Answer:

easyy

Step-by-step explanation:

It's B

Answer:

30

Step-by-step explanation:

30 can be divided by 5, 6, and 10

Working Model: Properties of Rational Numbers (Addition and Multiplication)

Using colored blocks, demonstrate how the closure, commutative, associative, and distributive properties hold true when performing addition and multiplication with rational numbers. Show visually and explain the properties through manipulations and examples.

Materials needed:

Colored blocks (preferably different colors to represent different rational numbers)

Paper or whiteboard to write down the operations and results

Closure Property of Addition

Start with two colored blocks, representing two rational numbers, such as 1/3 and 2/5.

Add the two blocks together by placing them side by side.

Explain that the sum of the two rational numbers is also a rational number.

Write down the addition operation and the result: 1/3 + 2/5 = 11/15.

Commutative Property of Addition

Take the same two colored blocks used in the previous step: 1/3 and 2/5.

Rearrange the blocks to demonstrate that the order of addition does not change the result.

Explain that the sum of the two rational numbers is the same regardless of the order.

Write down the addition operations and the results: 1/3 + 2/5 = 2/5 + 1/3 = 11/15.

Associative Property of Addition

Take three colored blocks representing three rational numbers, such as 1/4, 2/5, and 3/8.

Group the blocks and perform addition in different ways to show that the grouping does not affect the result.

Explain that the sum of the rational numbers is the same regardless of how they are grouped.

Write down the addition operations and the results: (1/4 + 2/5) + 3/8 = 25/40 + 3/8 = 47/40 and 1/4 + (2/5 + 3/8) = 1/4 + 31/40 = 47/40.

Distributive Property

Take two colored blocks representing rational numbers, such as 2/3 and 4/5.

Introduce a third colored block, representing a different rational number, such as 1/2.

Demonstrate the distribution of multiplication over addition by multiplying the third block by the sum of the first two blocks.

Explain that the product of the rational numbers distributed over addition is the same as performing the multiplication separately.

Write down the multiplication and addition operations and the results: 1/2 * (2/3 + 4/5) = (1/2 * 2/3) + (1/2 * 4/5) = 2/6 + 4/10 = 4/6 + 2/5 = 22/30.

By using this working model, students can visually understand and grasp the concepts of closure, commutative, associative, and distributive properties of rational numbers through hands-on manipulation and observation.

for such more question on Working Model

https://brainly.com/question/25311696

#SPJ8

Answer:

3.1415..

it is pi, a non-terminating, non-repeating decimal.

Answer:

3.1415

Step-by-step explanation:

The selling price is $36.25 and the markup amount is $11.25.

Given, Original cost of the bracelet, C = $25

Markup is 45% on the selling price

We need to calculate the selling price and the amount of the markup.

a) Selling price

We can find the selling price using the following formula:

Selling price = (1 + Markup%) × CostPrice = C × (1 + Markup%)

Putting the given values in the formula, we get:

Selling price = $25 × (1 + 45/100) = $25 × 1.45 = $36.25

Selling price of the bracelet is $36.25

b) Markup amount

The markup amount can be found using the following formula: Markup amount = Selling price - Cost price

Markup amount = $36.25 - $25 = $11.25

To know more about selling price, visit:

https://brainly.com/question/27796445

#SPJ11

lim (x → a) f(x) = ∞ , The limit does not exist and is neither ∞ nor - ∞

The vertical line test is used to verify function. That is, a graph must have a unique y value for it to be referred to as a function for a certain (unique) value of x. If for a particular x, and y values are coming it means it is not a function. If it crosses y-axis twice it means for a particular x value , two different value of y will exist. And that is not possible for a function

From the graph, we know that limit at point a is:

lim (x→a) f(x) exists if and only if

lim (x →a⁺) f(x) = lim (x→a⁻) f(x) and ≠ ∞

∴ right hand side limit = left hand side limit

lim (x →a⁺) f(x) = - ∞

lim (x →a⁻) f(x) = - ∞

∴ lim (x → a) f(x) = ∞

thus, option B is the correct answer.

The limit does not exist and is neither ∞ nor - ∞

To know more about function visit:-

brainly.com/question/10439235

#SPJ4

Step-by-step explanation:

2⋅13⋅(3−9)−1⋅25(10−15)=⋅3−3⋅3−3(−3)−3

\frac{2 \cdot 1}{3} \cdot (3x-9y)-1 \cdot \frac{2}{5}(10x-15y)=a \cdot 3y-3xb \cdot 3x-3yc(-3)x-3y

Answer: what's the answer choices?

Step-by-step explanation:

Answer:

they add up to 180°. In addition, we also know that in a kite, the opposing angles on either side of the axis of symmetry are equal. We see that this kite's opposing angles are both supplementary and equal, which means they must be 90° each.

The most helpful substitution for evaluating the given integral is option A: x = 2sinθ.

To evaluate the integral ∫√(4-x²) dx, we can use the trigonometric substitution x = 2sinθ. This substitution is effective because it allows us to express √(4-x²) in terms of trigonometric functions.

To find dx, we differentiate both sides of the substitution x = 2sinθ with respect to θ:

dx/dθ = 2cosθ

Rearranging the equation, we can solve for dx:

dx = 2cosθ dθ

Now, substitute x = 2sinθ and dx = 2cosθ dθ into the original integral:

∫√(4-x²) dx = ∫√(4-(2sinθ)²) (2cosθ dθ)

Simplifying the expression under the square root and combining the constants, we have:

= 2∫√(4-4sin²θ) cosθ dθ

= 2∫√(4cos²θ) cosθ dθ

= 2∫2cosθ cosθ dθ

= 4∫cos²θ dθ

Now, we can proceed with integrating the new expression using trigonometric identities or other integration techniques.

To learn more about trigonometric functions click here

brainly.com/question/25618616

#SPJ11

For any price of h and k = -12, the system x + 3y = h and -4x + ky = -9 will haven't any answer.

To determine the values of h and okay for which the device of equations has no answer, we want to locate the situations underneath which the equations are inconsistent or parallel.

The given system of equations is:

Equation 1: x + 3y = h

Equation 2: -4x + ky = -9

For the gadget to haven't any answer, the lines represented with the aid of these equations should be parallel and in no way intersect. In different phrases, the slopes of the traces need to be equal, but the y-intercepts should be specific.

Let's first discover the slopes of the traces. The slope-intercept form of Equation 1 is y = (-1/3)x + (h/3), wherein the slope is -1/3. The slope-intercept shape of Equation 2 is y = (4/k)x - (9/k), wherein the slope is 4/k.

For the strains to be parallel, the slopes should be equal. Therefore, we have the condition: -1/3 = 4/k.

To locate the values of h and okay for which the gadget has no answer, we need to locate the values of h that satisfy the situation -1/3 = 4/k.

Solving this equation for ok, we've got:

-1/3 = 4/k

-1 = 12/k

k = -12

Substituting k = -12 returned into the equation -1/3 = 4/k, we've:

-1/3 = 4/(-12)

-1/3 = -1/3

Since the equation holds real for any value of h, there aren't any restrictions at the price of h.

Therefore, for any price of h and k = -12, the system x + 3y = h and -4x + ky = -9 will haven't any answer.

To know more about equations,

https://brainly.com/question/29797709

#SPJ4

The system of equations has no solution when k is equal to 12. The value of h can be any real number.

To determine the values of h and f for which the system has no solution, we need to analyze the coefficients of the variables and the constants in the equations.

The given system of equations is:

x + 3y = h

-4x + ky = -9

We can rewrite the second equation as:

-4x + ky = -9

Dividing both sides of the equation by -4, we get:

x - (k/4)y = 9/4

Comparing the coefficients of x and y in the two equations, we can see that the slopes of the lines represented by the equations are different when k is not equal to 12.

Therefore, for the system to have no solution, k must be equal to 12.

As for the value of h, it can be any real number since it does not affect the slopes of the lines.

About system of equations here:

https://brainly.com/question/21620502

#SPJ11

The sum of \(6 \dfrac{2}{5}+4 \dfrac{3}{10}\) using rules of simplification is 10.7 in decimal form and \(10\dfrac{7}{10}\) in mixed fractions.

Mixed fraction is a combination of a whole number and a proper fraction Example \(3\dfrac{3}{8}\) which consists 3 as a whole number and \(\dfrac{3}{8}\) as a proper fraction.

The  set of the number system which includes  all positive numbers from zero and ends at  infinity are called whole numbers.

Example = 0,1,2,3,4,5,6,7…….∞.

To add fractions with different denominators, we will take LCM (least common multiple) of denominator. In this case, the common denominator is 10.

\(6 \dfrac{2}{5}+4 \dfrac{3}{10}\)

First we will convert the given mixed fraction into improper fraction which results to  

\(\dfrac{32}{5}+\dfrac{43}{10}\)

The LCM is 10 so we will multiply 32 by 2 and 43 by 1 to make denominators same

\(\dfrac{64+43}{10}\)

\(\dfrac{107}{10}\)

which results to 10.7 in decimal form and \(10\dfrac{7}{10}\) in fractions.

Learn more about mixed fraction here :

https://brainly.com/question/29019463

#SPJ4

Answer: 8 cups

Step-by-step explanation: 16 cups in a gallon, Half of 16 is 8. (16 divided by 2 = 8)

a. A central angle is: angle GFH; b. A major arc is: arc GJH; c. A minor arc is: arc GH.

d. measure of arc GJH = 265°; e. measure of angle GH = 95°

A major arc is an arc of a circle that measures greater than or equal to 180 degrees. It is sometimes called a large arc or a wide arc. If a circle has a central angle that measures more than 180 degrees, then the corresponding arc is a major arc.

On the other hand, a minor arc is an arc of a circle that measures less than 180 degrees. It is also called a small arc or a narrow arc. If a circle has a central angle that measures less than 180 degrees, then the corresponding arc is a minor arc.

Using the information given, we have:

a. A central angle in the figure given is: angle GFH.

b. A major arc in the figure given is: arc GJH.

c. A minor arc in the figure given is: arc GH.

d. measure of arc GJH = 360 - measure of arc GH

Measure of arc GH = measure of angle GFH = 95°

Therefore:

measure of arc GJH = 360 - 95 = 265°.

e. measure of angle GH = 95°

Learn more about major and minor arc on:

https://brainly.com/question/31336038

#SPJ1

The website which is cheaper for Caroline to buy the spice mix is French website.

Given data ,

Let's calculate the total cost for Caroline from both websites and determine which one is cheaper.

British website:

Price for 100 g = (£0.90 / 25 g) * 100 g = £3.60

Since the British website offers free delivery, the total cost remains £3.60.

French website:

Price for 100 g = (€1.20 / 50 g) * 100 g = €2.40

Delivery cost = €0.80

On simplifying the equation , we get

To convert the price and delivery cost to pounds, we'll use the conversion rate: €1 = £0.85.

Price in pounds = €2.40 * £0.85 = £2.04

Delivery cost in pounds = €0.80 * £0.85 = £0.68

Total cost = Price in pounds + Delivery cost = £2.04 + £0.68 = £2.72

Comparing the total costs:

British website: £3.60

French website: £2.72

Hence , Caroline would pay £2.72 for the spice mix from the cheaper website, which is the French website.

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ1

Since, The equation of the height with the time is provided and the balloon is thrown upwards against gravity from 5 feet, The answer is 0.255 sec.

A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

When gravity first exerts force on an object, its initial velocity defines how quickly the object moves. The final velocity, on the other hand, is a vector number that gauges a moving body's speed and direction after it has reached its maximum acceleration.

initial height = 5

final height =20

height to travel =20-5 =15

\(15 = 16t^{2}+35t+5\\16t^{2}+35t-10 =0\)

solving we get, t = 0.255 or -2.44

since, -2.44 is not possible,

t = 0.255 seconds.

To learn more about motion visit:

https://brainly.com/question/27102563

#SPJ4

In a sequence of ten ternary digits, where each digit can be 0, 1, or 2, we need to determine the number of sequences that contain a single 2 and a single 0.

To count the number of sequences that satisfy the given condition, we can break it down into two parts: placing the 2 and placing the 0.

First, we need to choose a position for the 2 in the sequence. Since there are ten positions available, we have 10 choices for placing the 2.

Next, we need to choose a position for the 0 in the remaining nine positions. After placing the 2, we are left with nine positions, and we can choose one of them for the 0.

Therefore, the total number of sequences with a single 2 and a single 0 is obtained by multiplying the number of choices for placing the 2 (10) by the number of choices for placing the 0 (9).

Hence, the total number of sequences is 10 * 9 = 90.

To learn more about ternary digits: -brainly.com/question/32087511

#SPJ11

Answer:

-12 < 8 < 9 > 0 > -10 < 1