Given the sequence B shown below, determine the 11th term? B=10,12,14,16,...

-1/2

To find the slope of the line between two points, we use the equation (y2-y1)/(x2-x1)

Substitute the values given for the xs and ys:

(7-5)/(-1-3)

2/(-4)

simplify: -1/2

Answer:

\(x < 5\)

Step-by-step explanation:

\(3x + 7 > 4x + 2 \\ 7 - 2 > 4x - 3x \\ 5 > x\)

\(x < 5\)

If the null hypothesis is actually true, the probability of mistakenly rejecting it is 0.05 or 5%.

The probability of rejecting the null hypothesis by mistake, also known as a Type I error, is equal to the significance level, which is 0.05 in this case.

When the null hypothesis is true, the p-value represents the probability of obtaining a test statistic as extreme as, or more extreme than, the observed value. If the p-value is less than 0.05, we would reject the null hypothesis.

Therefore, if the null hypothesis is actually true, the probability of mistakenly rejecting it is 0.05 or 5%.

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The line of best fit is used to illustrate a scatter plot

The predicted femur length is 80 cm

The points of the line of best fit are represented as:

(x,y) = (30,126) (40,150) (50,174)

Start by calculating the slope (m)

\(m = \frac{y_2 - y_1}{x_2 -x_1}\)

So, we have:

\(m = \frac{150 - 126}{40 -30}\)

\(m = \frac{24}{10}\)

\(m = 2.4\)

The equation of the line of best fit is then calculated as:

\(y = m(x -x_1) + y_1\)

So, we have:

\(y = 2.4(x -30) + 126\)

\(y = 2.4x -72 + 126\)

\(y = 2.4x +54\)

When the height is 246 cm, we have:

\(246 = 2.4x +54\)

Subtract 54 from both sides

\(2.4x = 192\)

Solve for x

\(x = 80\)

Hence, the predicted femur length is 80 cm

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Answer:

2√10

Step-by-step explanation:

√5*√8

=√40

simplify:

2√10

78 is the least number of tables needed to seat all the guests.

Dividing the total number of guests, 623, by the number of guests to sit per table, which is 8 guests per table, one gets 77.78 tables, rounded up to the nearest whole number, and the number is 78 tables.

The reason for rounding up is that the number of tables must be a whole number and not with a fraction or a decimal point. The first 77 tables will have all the spots fully occupied with 8 guests each, but the last table will have 7 guests with one unoccupied spot.

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Answer:

9

Step-by-step explanation:

13 + 14 = 27

27 / 3 = 9 cans.

Step-by-step explanation:

6y+12+12+3y

=9y+24

=3(3y+8)

Answer:

The slope of line t is -4/5.

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(14-10)/(2-7)

m=4/-5

Parallel lines have same slopes.

Using compound interest, it is found that Freddie will have £7433 in his account in 8 years.

The amount of money earned, in compound interest, after t years, is given by:

\(A(t) = P\left(1 + \frac{r}{n}\right)^{nt}\)

In which:

For the first two years, the parameters are given as follows:

P = 6600, r = 0.03, n = 1, t = 2.

Hence the amount is:

\(A(t) = P\left(1 + \frac{r}{n}\right)^{nt}\)

\(A(2) = 6600\left(1 + 0.03)^{2}\)

A(2) = 7002.

For the final 6 years, the parameters are:

P = 7002, r = 0.01, n = 1, t = 6.

Hence the amount after 8 years is:

\(A(t) = P\left(1 + \frac{r}{n}\right)^{nt}\)

\(A(6) = 7002\left(1 + 0.01)^{6}\)

A(6) = 7433.

Freddie will have £7433 in his account in 8 years.

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Answer:

43 cm^2

Step-by-step explanation:

tan 72/2 = 0.7265

0.7265 = 0.5(5)/h

h = 3.44

3.44 x 5 x 0.5 = 8.6

8.6 x 5 = 43 cm^2

7+3#2

Step-by-step explanation:

4(8-4)

16

16-9#7

7+3#2

The factor of 14s + 7 is 7 (2s +1). A factor is a number that divides another number by itself with no residual.

Factor 14s + 7 :  7(2s + 1)

Steps

14s + 7

Rewrite 14 as 7 × 2

Rewrite 7 as 7 ×  1

=7 × 2 s + 7 ×  1

Factor out common term 7

=7(2s + 1)

Hence, The factor of 14s + 7 is 7 (2s +1). A factor is a number that divides another number by itself with no residual.

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Answer:x=2

Step-by-step explanation:

The value of x in the equation 2.5(6x - 4) = 10 + 4(1.5 +0.5x) is 2.

The correct option is C.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

We have,

2.5(6x - 4) = 10 + 4(1.5 +0.5x)

Solving the equation for x we get

15x - 10 = 10 + 6 + 2x

15x - 2x = 16 + 10

13x = 26

Divide both side by 13 we get

13x/ 13 = 26 /13

x= 2

Thus, the value of x is 2.

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The equation -x + y = 5 can be represented in the y = mx + b form as y = x + 5. This form allows us to easily identify the slope and y-intercept of the line represented by the equation.

To express the equation -x + y = 5 in the y = mx + b form, we need to isolate y on one side of the equation.

Starting with -x + y = 5, we can rearrange the equation by moving the -x term to the other side:

y = x + 5

Now the equation is in the form y = mx + b, where m represents the slope and b represents the y-intercept.

In this case, the coefficient of x is 1, which gives us a slope of m = 1. This means that for every unit increase in x, y will increase by 1. The positive slope indicates that the line will slant upward as we move from left to right.

The constant term in the equation is 5, which gives us the y-intercept, b = 5. The y-intercept is the value of y when x is 0, which in this case is the point (0, 5) on the y-axis.

In the y = mx + b form, the equation -x + y = 5 can be written as y = x + 5. We can quickly determine the slope and y-intercept of the line that the equation represents using this method.

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Answer:

Take the ratio of the 2 numbers:

\( \frac{6.5 \times {10}^{ - 8} }{8.8 \times {10}^{ - 27} } = 7.4 \times {10}^{18} \)

This means that it takes 7.4×10^18 particle Bs to equal the mass of particle A.

Answer:

D

Step-by-step explanation:

only b and d have the equation equal on both sides

and only D has it that 5 is the hypotenuse, and the opposite angle is 90 degrees

Answer:

D

Step-by-step explanation:

i just took the test hope this helps

Answer:

neither, neither, terminating, repeating

To solve this problem, we can use the formula for the circumference of a circle:

C = 2πr

where C is the circumference and r is the radius.

We are given that the diameter of the circle is 8.6 cm, so the radius is half of this:

r = 8.6 cm / 2 = 4.3 cm

Substituting this value of r into the formula for the circumference, we get:

C = 2π(4.3 cm) = 8.6π cm

Rounding this to the nearest hundredth gives:

C ≈ 26.93 cm

Therefore, the circumference of the circle is approximately 26.93 cm.

Answer:

Step-by-step explanation:

Theres no picture

Answer:

Can you show the picture real quick use ctrl shift s to screen shot or window  F11

Step-by-step explanation:

Juan's observations are correct, but his incorrect observation is asymptote: x = 0

An exponential function is a mathematical function of the following form: f(x) = aˣ. where x is a variable, and a is a constant called the base of the function.

Given is a graph of an exponential function.

Juan's observations are :-

Initial value: –3

Base: 3

Asymptote: x = 0

Domain: {x | x > 0}

Range: {y | all real numbers}

Studying the graph, we can say his observations are correct but his comment on Asymptote: x = 0 is wrong because, the equation of the horizontal asymptote of the graph of is y = 0, which is the x-axis.

Other than, Asymptote: x = 0, all his comments are true.

Hence, the incorrect observation is asymptote: x = 0

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y is a function of x, because for each input x there is only one output y. (It doesn't work backwards. x is not a function of y. not sure if you needed that but there it is!)

The equation would be

y=9.60x

where y is the amount Lin's sister earns and x is the amount of hours she works

i think this is correct pls mark brainliest

The equation 3x - 5y = 12 could be used to represent the function y = f(x), which is NOT one-to-one.

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain.

Given that function f(x) is not one-to-one

That means the given equation will have only one solution for the one value of x,

Since Quadratic equations have two values at the one value of x that means option a would not satisfy

option c also makes an exponential graph which means it also has more than one value at x

Since Option (b ) 3x - 5y = 12 has a linear function and linear functions do not have more than one value at a value of x

Therefore, the function y = f(x) is NOT one-to-one, the equation could represent f(x) as 3x - 5y = 12.

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Alice paid $25 for her pair of jeans, and Jeff paid $4 for the steaks.

Let's calculate the final amount paid by Alice and Jeff for their purchases.

Alice:

Jeff:

So, Alice paid $25 for her pair of jeans, and Jeff paid $4 for the steaks.

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Answer:

Option B is the answer

Step-by-step explanation:

x= 8, y=4√2

We know from pythagorean's law

(Hypotenuse) ^2 = (base)^2 + (height) ^2

Answer:

where the pattern??????

Answer:

where is the pattern

Step-by-step explanation:

If the coordinates of point A are (- 6, 1) and the coordinates of M are

(- 2, 3) then coordinates of B are (2, 5).

A midpoint of a line (x, y) divides a line segment into two equal parts

by the formula x = (x₁ + x₂)/2 and y = (y₁ + y₂)/2.

Given, Point M is the midpoint of AB.

The coordinates of point A are (- 6, 1) and the coordinates of M are (- 2, 3).

Therefore, The coordinates of point B are,

- 2 = (- 6 + x₂)/2 and 3 = (1 + y₂)/2.

- 4 = - 6 + x₂ and 6 = 1 + y₂.

x₂ = 2 and y₂ = 5.

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Answer:

D. The mean is 52.

Step-by-step explanation:

In order to find the mean, you add up all of the numbers and then divide that answer by how many numbers there are.

43+50+60+36+47+52+78=416

416/8=52

Answer:

D. The mean is 52.

Step-by-step explanation:

Add all numbers in the set:

36+47+50+50+52+60+78= 416

Now, divide the sum by how many numbers are in the set; in this case, there are 8 numbers so:

416÷ 8= 52

What is energy?

Energy analysis of given question is illustrated below:

A stretched catapult has potential energy because it can perform work when released.

A stone on the ground has no energy because it will never move on its own again.

There needs to be friction between an object and the ground for it to roll (otherwise it will slide)

You must overcome the weight, which is the force of gravity, in order to lift a stone.

Joules are units used to quantify both energy and work.

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Answer: £535

Step-by-step explanation:

Herr is the complete question:

Tim and three friends go on holiday together for a week.

The 4 friends will share the costs of the holiday equally,

Here are the costs of the holiday.

£1280 for 4 return plane tickets

£640 for the villa

£220 for hire of a car for the week

Work out how much Tim has to pay for his share of the costs.

Firstly, we have to calculate the total cost of the holiday. This will be:

= £1280 + £640 + £220

= £2140

We are also told that they will share the costs equally. Since there are 4 people, Tim will have to pay:

= £2140 ÷ 4

= £535

Tim will pay £535