make the subject x of the formula y = 7x + 4

Step-by-step explanation:

168 <-- quotient --- 337 2 - 13 12 -- 17 16 -- 1 <-- remainder

Answer:

168.5

Step-by-step explanation:

        ₁  ₁  ₁

2 ) 3 3 7. 0

     1 6 8.5 <--- Quoitient

first part is 2 divide  once into 3  with remainder 1

- and this 1 goes in front of the 3 to give 13.

2 into 13 goes 6 times with remainder 1

- then we get 2 into 17 giving 8 remainder 1 and so on....

Answer:

•  All non-zero digits in a number are significant.

Example: Numbers 0.0000216, 0.0216, 21.6 and 216 have the same number of significant figures namely three (2, 1, 6).

•  All zeros between two non-zero digits are significant, no matter where the decimal point is, if at all.

Example : In the numbers 0.0000206, 0.0206, 20.6 and 206, the zero lying between the digits 2 and 6 is only significant.

•  If the number is less than 1, the zeroes on the right of decimal point but to the left of the first non-zero digit are not significant.

Example : In 0.0000206, the four zeros after decimal and before the digit 2 has no significance. Similarly, in 0.0206, the zero after decimal and before the digit 2 has no significance. So the number of significant figures of these numbers are three (2, 0 and 6).

Hope this helps, have a nice day/night! :D

The best-predicted height for someone with a foot length of 20.4 cm is approximately 65.83 cm.

To find the best-predicted height for someone with a foot length of 20.4 cm, we need to use the linear regression equation that relates foot length and height. The linear regression equation is of the form:

y = a + bx

where y is the predicted height, x is the foot length, a is the y-intercept, and b is the slope of the regression line.

From the given information, we know that the technology found a linear correlation between height and foot length. This means that we can use the paired data to calculate the values of a and b in the regression equation.

Using the paired data and technology, we can obtain the following regression equation:

height = 34.774 + 1.4966 (foot length)

Now we can substitute the given foot length of 20.4 cm into the equation to obtain the predicted height:

height = 34.774 + 1.4966 (20.4)

height = 65.83 cm

Therefore, the best-predicted height for someone with a foot length of 20.4 cm is approximately 65.83 cm.

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Answer:

75.398

Step-by-step explanation:

The function f(n) = 2n – 2 represents the nth term of the sequence 0, 2, 4, 6, 8.

What is sequence?

In mathematics, a sequence is an ordered list of numbers, usually written in a specific pattern. Each number in the sequence is called a term, and the position of a term in the sequence is called its index or subscript.

A function f(n) that represents the nth term of the sequence given above can be written as follows:

f(n) = 2n – 2

This function can be explained as follows:

The function f(n) represents the nth term of the given sequence. The first term of the sequence is 0, which is equal to f(1). The second term of the sequence is 2, which is equal to f(2). This pattern can be seen throughout the sequence, as each subsequent term is two more than the preceding one. Thus, the general form of the function can be written as f(n) = 2n – 2, where n represents the nth term of the sequence.

For example, when n = 5, the function f(n) = 2n – 2 = 10. This is equal to the fifth term of the sequence, 8.

Therefore, the function f(n) = 2n – 2 represents the nth term of the sequence 0, 2, 4, 6, 8.

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Answer: The original fraction is 8/15

Step-by-step explanation:

The part about the 7 more than the numerator is not needed. All you have to do is add 3 to the numerator and 3 to the denominator.

5+3=8

&

12+3=15

So

8/15

I hope this helps!

The Arithmetic means will be inserted between 1 and 36 such that the

sum of the resultant arithmetic progression will be 148 is 8.

The distinction between the 2 arithmetic orders is a constant value in Arithmetic Progression (AP). Another name for it is Arithmetic Sequence.

We'd arrive along all a few key words in AP, which were denoted as:

The AP can also be defined in terms of common distinctions, as illustrated below.

Now, for the stated question;

Assume the first term is'a₁' = 1.

The last term of the series that is nth term is 'a₃₆'.

The sum of all digits between 1 and 36 is given as 148.

Thus, Sn = 148

Substitute the value in the sum formula.

Sn = (n/2)×(a₁ + a₃₆)

148 = (n/2)×(1 + 36)

148 = (n/2)×(37)

n = (148×2)/37

n = 8.

Thus, the total number of Arithmetic means that can be inserted between 1 and 36 is 8.

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Answer:

let M point x1, Y1 and f point X2,y2 then we know the formula of distance root (x2-x1)^2+(y2-y1)^2 then you will found the distance

Step-by-step explanation:

The equation 3x + y = 0 can be rearranged to y = -3x. This means that the graph of the equation is a straight line with slope -3 and y-intercept of 0.

The three points that are in the solution set are (-2,6), (-5,5), and (3,-9). Plotting these points on a coordinate plane and connecting them with a straight line, we can see that they all lie on the same line with slope -3:

[Graph not shown here, but a straight line with three points (-2, 6), (-5, 5), (3, -9) can be plotted with a slope of -3 and y-intercept of 0.]

From the graph, we can see that the line passes through the origin (0,0), which means that the y-intercept is 0. The slope of the line is -3, which means that the line has a negative slope and is downward sloping. The line separates the plane into two half-planes, one above the line and one below the line. The points above the line have y-coordinates greater than 0 and the points below the line have y-coordinates less than 0.

The unit rate for Option A is $4.4 per pound of gummy bears.

The unit rate for each option is a mathematical expression that compares two quantities of different measures by dividing one quantity by the other.

The unit rate is used to determine how much an item costs per unit of measure.

To find the unit rate for each option, we can use the following formula: Unit rate = price ÷ weight Option A: $15.40 for 3.5 lbs of gummy bears Unit rate = 15.40 ÷ 3.5Unit rate = $4.4 per pound of gummy bears.

Therefore, the unit rate for Option A is $4.4 per pound of gummy bears.

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Here is the complete question given below:

The unit rate for each option. 9. Option A: $15.40 for 3.5 lbs of gummy bears. $7.65 for 1.8 Ibs of gummy bears.

Answer: 3x-x+2=4

Step-by-step explanation:

You can put this solution on YOUR website!

running distance is 9(t3+0.5)

biking distance is 16 (2(t3+0.5))=16(2t3+1)

swimming distance is 2.5t3

9t3+4.5+32t3+16+2.5t3=64

43.5t3=43.5

t3=1 hour

He biked for 3 hours (48 miles)

He ran for 1.5 hours (13.5 miles)

He swam for 1 hour (2.5 miles)

He covered 62 miles in 5.5 hours of activity.

Answer:

He swam for 1 hour (2.5 miles)

Step-by-step explanation:

The relation between time, speed, and distance is,

distance = speed × time

Answer:

The jumping dolphin is approx. 6 meters under sea level

The flying seagull is approx. 8 meters under sea level

The mobula ray is approx. 2 meters under sea level

The clownfish is approx.t 4 meters under sea level

The octopus is approx.  8 meters under sea level

The jumping dolphin: The mobula ray is 9 meters lower than the jumping dolphin.

The flying seagull: The mobula ray is 11 meters lower than the flying seagull.

The octopus: The mobula ray is 11 meters higher than the octopus.

The jumping dolphin: The albatross is 1 meter lower than the jumping dolphin.

The flying seagull: The albatross is 3 meters lower than the flying seagull.

The octopus: The albatross is 13 meters higher than the octopus.

The jumping dolphin: The clownfish is 8 meters lower than the jumping dolphin.

The flying seagull: The clownfish is 10 meters lower than the flying seagull.

The octopus: The clownfish is 6 meters higher than the octopus.

If the new dolphin is above the dolphin in the picture, then its distance from the surface of the ocean is 6 - 3 = 3 meters.

If the new dolphin is below the dolphin in the picture, then its distance from the surface of the ocean is 6 + 3 = 9 meters.

✧☆*: .｡. Hope this helps, happy learning! (✧×✧) .｡.:*☆✧

Considering the dot plot, the tallest conifer is 3.25 inches taller than the shortest conifer.

This shows, with dots, the number of times that each of the measures appears in a data set.

For finding the dot plot, we have that:

The shortest conifer measures 6 and 1/4

= 6.25 inches.

The tallest conifer measures 9.5 inches.

The difference is:

9.5 - 6.25 = 3.25 inches.

Therefore the tallest conifer is 3.25 inches taller than the shortest conifer.

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Answer:

5 1/10

Step-by-step explanation:

let me know if you need an explanation

Answer:

32.0

Step-by-step explanation:

i really can't explain it but comment if need more help

and can u take better picture

Answer: Up to 300 ml because that is all she has in total. I think the question is missing parts.

Step-by-step explanation:

Answer:

1/2=10

Step-by-step explanation:

it depends upon the area of the triwngle

The option that would be a Type II error in this setting is B. The mean amount of CO2 emitted by the new fuel is actually lower than 89 kg but they fall to conclude it is lower than 89 kg

The type 1 error occurs if we get false positive conclusion (false positive means we accuse null hypothesis being wrong when it was actually correct).

The type 2 error occurs if we get false negative conclusion (false negative means we accept null hypothesis when it was actually false).

Hence, the mean amount of CO2 emitted by the new fuel is actually lower than 89 kg but they fall to conclude it is lower than 89 kg is a type II error.

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According to a report from the United States Environmental Protection Agency, burning one gallon of gasoline typically emits about 8.9 kg of CO2. A fuel company wants to test a new type of gasoline designed to have lower CO2 emissions. Here are their hypotheses:

H0: μ = 8.9 kg

Ha: μ < 8.9 kg (where μ is the mean amount of CO2 emitted by burning one gallon of this new gasoline).

Which of the following would be a Type II error in this setting?

A. The mean amount of CO2 emitted by the new fuel is actually 89 kg but they conclude it is lower than 89 kg

B. The mean amount of CO2 emitted by the new fuel is actually lower than 89 kg but they fall to conclude it is lower than 89 kg

C. The mean amount of CO2 emitted by the new fuel is actual 89 kg and they alto conclude it is lower than 89 kg and they conclude it is lower than 9 kg

D. The mean amount of CO2 emitted by the new fuels actually lower than 8.9

The slope of the tangent line that passes through the point (-1, 2) is 4, and the equation of the line is: y - 2 = 4(x + 1) or y = 4x + 6

To find the slope of the tangent line to a circle, we first need to find the equation of the circle.

Given the center and radius, the equation of a circle can be written as:

(x + 5)^2 + (y - 3)^2 = 17

Next, we find the equation of the line that passes through the point (-1, 2) and is tangent to the circle.

We can use the slope-point form of the equation of a line:

y - 2 = m(x + 1)

where m is the slope of the line.

To find the value of m, we need to find the slope of the line that is tangent to the circle at the point (-1, 2).

The slope of a tangent line to a circle at a point is equal to the derivative of the equation of the circle at that point.

Taking the partial derivatives of x and y in the equation of the circle, we get:

2(x + 5)dx + 2(y - 3)dy = 0

Rearranging and solving for the slope:

dy/dx = -(x + 5)/(y - 3)

Evaluating the slope at the point (-1, 2), we get:

dy/dx = -(−1 + 5)/(2 − 3) = 4

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Answer:

7.2

Step-by-step explanation:

Answer:

12x2

Step-by-step explanation:

Answer:

\(y=\frac{1}{2}x+5\)

Step-by-step explanation:

Hi there!

Slope intercept form: \(y=mx+b\) where m is the slope and b is the y-intercept (the value of y when x is 0)

1) Determine the slope (m)

\(m=\frac{y_2-y_1}{x_2-x_1}\) where two points that lie on the line are \((x_1,y_1)\) and \((x_2,y_2)\)

Plug the given points (-4,3) and (6,8) into the equation

\(m=\frac{8-3}{6-(-4)}\\m=\frac{8-3}{6+4}\\m=\frac{5}{10}\\m=\frac{1}{2}\)

Therefore, the slope of the line is \(\frac{1}{2}\). Plug this into \(y=mx+b\) :

\(y=\frac{1}{2}x+b\)

2) Determine the y-intercept (b)

\(y=\frac{1}{2}x+b\)

Plug in one of the given points and solve for b

\(8=\frac{1}{2}(6)+b\\8=3+b\)

Subtract 3 from both sides to isolate b

\(8-3=3+b-3\\5=b\)

Therefore, the y-intercept is 5. Plug this back into \(y=\frac{1}{2}x+b\):

\(y=\frac{1}{2}x+5\)

I hope this helps!

Answer:

(172-45)x2=n

Step-by-step explanation:

(172-45)x2=n

Answer:

(172-45)×2=n

n= 254

...........

Using the exponential decay equation, we can see that after 1000 years we will have  178.43 mg  of Ra₂₂₆

The decay of a radioactive substance, such as Radium-226, can be modeled by the exponential decay equation:

N(t) = N₀ * (1/2)^(t / T)

where:

N(t) is the amount of the substance remaining after time t

N₀ is the initial amount of the substance

t is the time elapsed

T is the half-life of the substance

Given that the half-life of Radium-226 is 1590 years and the initial amount is 500 mg, we can plug in these values into the equation and solve for N(1000), which represents the amount remaining after 1000 years.

N(1000) = 500 * (1/2)^(1000 / 1590)

N(1000) ≈ 178.43 mg

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Let A be a matrix, v and λ be vectors. Therefore, Av = λv, where v is an eigenvector of A with eigenvalue λ, and if there is another non-zero vector w such that Aw = μw, then w is an eigenvector of A with eigenvalue μ. Therefore, v is an eigenvector of A with eigenvalue λ, and w is an eigenvector of A with eigenvalue μ.

Allow a to be a matrix, and v and λ to be vectors. Consequently, av = λv, wherein v is a non-zero vector and λ is a scalar. This means that v is an eigenvector of a with eigenvalue λ.

Further, if there may be every other non-0 vector w such that aw = μw, then w is an eigenvector of a with eigenvalue μ. The eigenvectors and eigenvalues of a matrix are vital in lots of packages, including fixing systems of linear equations, studying dynamical systems, and studying facts using strategies along with main thing evaluation.

By computing the eigenvectors and eigenvalues of a matrix, we will benefit perception of its shape and conduct, and use these records to solve problems and make predictions.

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Direct variation is represented by the formula \(\frac{y}{x} = k\)

where k is the constant of variation.

So here, since we know that x = 24 and y = 8,

the constant of variation must be equal to 8/24.

if we write 8/24 in lowest terms, we have 1/3.

So 1/3 = k.

Answer:

The binomial is a factor

Step-by-step explanation:

In order to show that x+3 is a factor of the polynomial, then;

f(a) = 0

Get a by equating x+3 to zero

x+3 = 0

x = -3

Get f(-3)

f(-3) =  (-3)^4 + 8(-3)^3 + 11(-3)^2 -11(-3) + 3

f(-3) = 81 - 216 + 99 + 33 + 3

f(-3) = 216-216

f(-3)  = 0

Since the remainder of the polynomial when divided by x+3 is zero, this shows that x+3 is a factor of the given polynomial

Answer:

320

Step-by-step explanation:

Is the 3 to 2 part to part?  Out of every 5 people, 3 prefer pizza and 2 do not.  We can us this to set up a proportion.

3/5 = 120/x  The 3 represent the part that like pizza over the whole of 5.  The second ratio is showing the actual number of people that liked pizza over the total number of people.

What would be multiply 3 by to get 120? 40.  So, we will multiply 5 times 40 to get the total number of people.  5 x 40 = 200

Answer:

d= 3.6 harrryuuyyyyyytrrrrttppwkkkk