Write variable expressions: two operations

Write an expression for the sequence of operations described below.
multiply t by 5, then double the result

Answer:

£94

Step-by-step explanation:

24+ (14×5) = £94

p.s pls give brainliest answer :)

Answer:golden hour by JVKE

Step-by-step explanation:

The price of the car after 15% markup will be $8,280

How to calculate price after 15% of markup ?

The cost price of car for Hanks = $7200

Marking up of price is done by 15%

To find Markup price = Cost price + 15% of cost price

                                  = 7,200 + 7,200 * 15/100

                                  = 7,200 + 1,080 = $8,280

The 15% of car price is $1,080

The price of the car after 15% markup will be $8,280  

What is percentage ?

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The linear function is y = -3x -5 with f(3)=-4 and f(1)=2.

The term "linear function" in mathematics applies to two different but related ideas: A polynomial function of degree zero or one that has a straight line as its graph is referred to as a linear function in calculus and related fields. The graph of a linear function is a straight line. The following is the form of a linear function. a + bx = y = f(x). One independent variable and one dependent variable make up a linear function. Any function with the formula f(x) = mx + b—where m and b are constants—is said to be linear. Because the graphs of these functions are lines in the plane, we refer to them as linear.

Given Data

f(3) = -4

f(1) = 2

The ordered pairs are (3,-4) and (1,2)

The equation of the line :

y - y₁ = [tex]\frac{y_{2} - y_{1} }{x_{2} -x_{1} }[/tex](x - x₁)

y + 4 = [tex]\frac{2+4}{1-3}[/tex] (x-3)

y + 4 = -3(x -3)

y + 4 = -3x + 9

3x + y = -5

y = -3x -5

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Table A shows a proportional relationship

What is proportional relationship?

When the value of independent variable changes the value of dependent variable changes. that means if the value independent variables is increase the value of dependent variable will also be increased.

In the figure we are given 2 tables

We plot both the curve on the graph we get

Table A shows a linear relationship where are Table b Does not shows a proportional relationship

Hence Table A shows a proportional relationship

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Answer:

Step-by-step explanation:

Therefore let us input the values to find the volume of the cone

The answer should be A.

Answer:

y = [tex]\frac{3x -6}{5}[/tex]

Step-by-step explanation:

3x - 5y = 6 ( subtract 3x from both sides )

- 5y = - 3x + 6 ( multiply through by - 1 )

5y = 3x - 6 ( divide both sides by 5 )

y = [tex]\frac{3x-6}{5}[/tex]

Answer:

Step-by-step explanation:

she would have to use 3/4 of the ingrediants to the 400g of minced beef.

tomato sauce would be 600g

stock would be 225g

and red wine would be 225g

The quantity of chopped tomatoes is 600 g, of stock is 225 ml, and of red wine is 225 ml if Julie only has 300 g of minced beef.

The ratio is the comparison of two quantities to determine how frequently one quantity obtains the other. It can be shown as a fraction between two numbers.

Quantity of minced beef = 400 g

Quantity of chopped tomatoes = 800 g

Quantity of stock = 300 ml

Quantity of  red wine = 300 ml

Taking ratios of all the quantities, we get:

minced beef: chopped tomatoes:stock: red wine

= 400:800:300:300

= 100:200:75:75 ( Dividing by 4, as a common factor)

Multiplying the above ratio by three to make the quantity of minced beef 300 g

= 300:600:225:225

Thus, the quantity of chopped tomatoes is 600 g, the quantity of stock is 225 ml, and the quantity of red wine is 225 ml if Julie only has 300 g of minced beef.

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Answer:

nothing but B2. 0 hours

The bus will take 1.5 hours to cover 90 kilometers at an average speed of 60 km/hr.

Speed can be thought of as the rate at which an object covers distance.

i.e.

Speed = distance traveled/time taken

After arranging the equation we get,

Time taken = Distance traveled/Average speed

Here distance traveled by bus = 90 km

The average speed of the bus = 60 km/hr

So total time taken = 90/60 = 1.5 hours

So the bus will take 1.5 hours to cover 90 kilometers at an average speed of 60 km/hr.

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Given:

Product of two numbers is 1.

The one number is 5/2.

Let the another number be x.

Answer: Option a) is correct. the other number is 2/5.

Answer:

1,081 gallons

Step-by-step explanation:

1,119 - 38 = 1,081

Answer:

First, find x.

(12x + 20) + (6x + 70) = 180 (sum of angles on straight line = 180°)

18x + 90 = 180

18x = 90

x = 5

Next, find z.

z = 12x + 20 (vertically opposite angles)

Substitute x = 5 into equation.

z = 12(5) + 20

= 80

The length of XY=19.894 cm when the angle XYZ=90° and angle YZX=61° and the length of hypotenuse=17.4 cm. Using the property of trigonometry, a=b.sinα/sinβ.

Trigonometry is the branch of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six common trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and abbreviations (csc).

The longest side of a right-angled triangle, or the side opposite the right angle, is known as the hypotenuse in geometry. The Pythagorean theorem, which states that the square of the length of the hypotenuse equals the sum of the squares of the lengths of the other two sides, can be used to determine the length of the hypotenuse.

Here,

a=b.sinα/sinβ

=17.4·sin(90°)/sin(61°)

=19.89436 cm

≈19.9 cm

When the hypotenuse is 17.4 cm long and the angles XYZ and YZX are 90° and 61°, respectively, the length of XY is 19.894 cm. Using the trigonometric formula a=b.sinα/sinβ.

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Answer:

x = 15

Step-by-step explanation:

150+3x-15=180 because of same-side interior angles therorem.

Then, we solve the problem to get 15.

Hope this helped! :)

Approximately, all of the signatures in the sample of 3000 signatures are invalid . We get this outcome by using binomial distribution .

This problem it is said that 30% of 10000 signatures on certain recall petition are invalid . So, here is the two outcomes possible one is the signatures are invalid and other signature are valid .

Probability of Success (signature are valid ) = p = favourable outcomes / total outcomes

Favourable outcomes for Success = 70% of 10,000= 7000

Total number of possible outcomes = 10,000

P = 7000/10,000 = 7/10

Probability of failure (signature are invalid ) = q= 1- p = 1- 7/10 = 3/10

We have to find out probability of getting invalid signature from a sample of 3000 signatures..

Using the binomial distribution,

P(X = x ) = ⁿ C ₓ pˣ (1- p)⁽ⁿ⁻ˣ⁾

n = 3000 , x= 0 for none of signatures from 3000 are invalid.

P(X=0) = ³⁰⁰⁰C ₀ (3/10)⁰ ( 7/10) ³⁰⁰⁰

= 1 . 1 . (7/10)³⁰⁰⁰ = (7/10)³⁰⁰⁰ = 0

Probability of getting invalid signature out of sample 3000 is

1 – ( 7/1000)³⁰⁰⁰ = 1

This implies that all the signatures in sample of 3000 are invalid.

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Answer: [tex]f(1)=1, f(2)=0, f(3)=2[/tex]

Step-by-step explanation:

[tex]0 \leq 0 \leq 1 \implies f(1)=1^2 =1\\\\1 < 1 \leq 2 \implies f(2)=-2+2=0\\\\2 < 3 \leq 3 \implies f(3)=3^2 -3(3)+2=2[/tex]

The equation of the car can be given as and the price of the car after 8 years is $4445.

What is an exponential function?

A function of the form [tex]a^{x}[/tex] is known as exponential function. In short the function which has an exponent is known as exponential function.

We are given that the value of a new car after 2 years was $11,200. When the car is 6 years old, the value has dropped to $6100.

Let the original price of the car be [tex]P_{0}[/tex]

After two years the price of the car is $11200

Mathematically it can be given as

[tex]11200= P_{0}e^{2x}[/tex]

After 6 years the price of the car is $6100

Mathematically it can be given as

[tex]6100=P_{0}e^{6x}[/tex]

Dividing both equations we get,

[tex]1.83=e^{-4x}[/tex]

Which can also be written as

[tex]e^{4x}=0.54[/tex]

on solving we get,

x=-0.154

Hence the rate at which price of the car is dropping is

[tex]P=P_{0}e^{-0.154t}[/tex]

No we have to find the original price of the car

To do so we substitute t=2 in the equation

we get

11200=[tex]P_0e^{-0.308}[/tex]

On solving we get,

15240=[tex]P_0[/tex]

Now we find the price of the car after 8 years

P=15240·[tex]e^{-1.232}[/tex]

On simplifying we get

P=$4445

Hence the price of the car after 8 years will be $4445

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Answer:  [tex]132000 \le f(t) \le 264000[/tex]

Explanation:

The domain is [tex]3 \le t \le 6[/tex] to represent the time values between 3 and 6 hours, including the endpoints. This represents the set of possible inputs to the function.

The function f(t) = 44000t is an increasing function. This means the smallest range value corresponds to the smallest domain value.

Plug in t = 3 to find that:

f(t) = 44000t

f(3) = 44000*3

f(3) = 132000

This says he mows 132,000 sq ft of lawn in 3 hours.

Now plug in the largest domain value to find the largest range value

f(t) = 44000t

f(6) = 44000*6

f(6) = 264000

He mows 264,000 sq ft of lawn in 6 hours.

The range is the set of f(t) values between 132,000 and 264,000

We can write that as [tex]132000 \le f(t) \le 264000[/tex]

Answer: 50%

Step-by-step explanation:

The error percent of the fish tank is 50%

Error percent:

Error percent means the difference between estimated value and the actual value in comparison to the actual value and is expressed as a percentage. It is also known as the percent error is the relative error multiplied by 100.

The formula to calculate the error percent is

δ = |vA - vE|/vA x 100

δ  = percent error

vA = actual value observed

vE = expected value

Given,

Raul estimated that a fish tank contained 20 gallons of water. He later  found that the fish tank had a 40-gallon capacity.

Here we need to calculate the error percent.

According to the error percent formula,

In this question

The estimated value = 20 gallons

Actual value = 40 gallons.

Now, we have to apply the values on the formula, then we get,

P% = (40 - 20)/40 x 100

P% = 20/40  x 100

P% = 1/2 x 100

P% = 0.5 x 100

P% = 50.

Therefore, the error percent is 50%.

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Answer:

Step-by-step explanation:

The value of the expression given as 12x^2(y^8)/3xy^7 is 4xy

From the question, the expression is given as

12x^2(y^8)/3xy^7

Start by removing the bracket in the above expression

So, we have the following equation

12x^2(y^8)/3xy^7 = 12x^2y^8/3xy^7

Divide 12 by 3 in the above equation

So, we have the following equation

12x^2(y^8)/3xy^7 = 4x^2y^8/xy^7

Divide x^2 by x

So, we have the following equation

12x^2(y^8)/3xy^7 = 4xy^8/y^7

Divide y^8 by y^7

So, we have the following equation

12x^2(y^8)/3xy^7 = 4xy

Hence, the expression is 4xy

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The angle in the fourth quadrant associated with trigonometric function is 314.415°. The exact values of the six trigonometric functions are listed below:

In this problem we find the exact form of a trigonometric function and the related quadrant on a Cartesian plane. By definition of the sine function and the features of the sine, the exact value has the following form and conditions:

y / √(x² + y²) = - 5 / 7, x > 0, y < 0

Then,

y = - 5, √(x² + y²) = 7

√[x² + (- 5)²] = 7

x² + 25 = 49

x² = 24

x = √24

x = 2√6

Then, the angle associated to the trigonometric function is:

θ = tan⁻¹ (y / x)

θ = tan⁻¹ (- 5 / 2√6)

θ ≈ 314.415°

And the five other trigonometric functions are:

cos θ = 2√6 / 7

tan θ = - 5 / 2√6

cot θ = - 2√6 / 5

sec θ = 7 / 2√6

csc θ = - 7 / 5

The angle associated with trigonometric function is 314.415°.

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Answer:

y=3x+14

Step-by-step explanation:

First find the point using slope point form.

y-y₁=m(x-x₁)

Put y value in for y₁, x value in for x₁ and slope in for m.

y-2=3(x+4)

Simplify

y-2=3x+12

Solve for y to get slope intercept form Y=mx+b

y=3x+14

Investor purchased 50 shares of stock in a company for $40.

So, the total initial amount he invested is

Then the rate of return is:

So, the requied rate of return is 10.0%.

Answer:

x=62

Step-by-step explanation:

X=62 because all angles of a triangle should add up to 180 degrees no matter what. All you have to do is subtract the already known angles in the triangles from 180 to receive your x value. 180-65-53=x 180-65-53=62.

-Hope this helps

Answer:

3x + 5 + (8x - 3) = 180

11x + 2 = 180

11x = 178

x = 16.18

= 16.2

One of the two outcomes, known as success or failure, arises from every try. From trial to trial, the chance of success, indicated by the symbol p, stays constant. There are n independent trials.

The likelihood of success is constant from trial to trial, and subsequent trials are independent. A binomial distribution, which derives from counting successes across a series of trials, has just two possible outcomes on each trial.

One of the two outcomes, known as success or failure, arises from every try. From trial to trial, the chance of success, indicated by the symbol p, stays constant. There are n independent trials. In other words, the results of one trial do not influence those of the others.

An experiment with a fixed number of independent trials and just two results is referred to as a binomial experiment.

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In a sample of 10 nucleotides, the likelihood of drawing 10 consecutive adenines at random is 0.000006.

Probability: The probability of an occurrence is defined as the ratio between the number of favorable outcomes to a certain event and the entire number of potential outcomes.

The following calculation shows the likelihood of picking 10 consecutive adenines at random from a sample of 10 nucleotides:

According to the information provided, there are 10 adenines and a likelihood of 0.30 that DNA contains them. n = 10 and p = 0.30

Therefore, Probability = (0.30)10 = 0.000006

The likelihood of randomly selecting 10 consecutive adenines from a sample of 10 nucleotides is calculated by multiplying the likelihood that DNA contains adenines by 10 times.

Therefore, The probability of picking 10 consecutive adenines at random from a sample of 10 nucleotides is 0.000006.

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Answer:

y = - 2x - 1

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 ← is the partial equation

to find c substitute (3, - 7 ) into the partial equation

- 7 = - 6 + c ⇒ c = - 7 + 6 = - 1

y = - 2x - 1 ← equation of line