What is the common difference for this arithmetic sequence?
-6, -1,4,9, 14, ...

A. 5
B. 3
C. 6
D. 4

Answer:

It will be

f(x)=x+4

Answer:

D (6,2)

Step-by-step explanation:

2x6+2=14 2x6= 12 12+2= 14

5x6-2=28 5x6=30 30-2=28

Answer:

800,004,500

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

lol

...its 10

Step-by-step explanation:

1+1+1+1+1= 5

1+1+1+1+1= 5

5+5=10

Answer:

I think that answer is 5 or 35

Answer:

C. x > -3

Explanation:

The circle with no filling means it can not be equal

It goes ahead of -3 so it is greater than -3

See attachment for your problem set up.

Answer:

This is a 25% decrease

Step-by-step explanation:

Find the difference between the two prices

24- 18 = 6

Take that over the original price

6 /24 = 1/4

Change to decimal form

.25

Change to percent form

25%

This is a 25% decrease

In order to have 4 kg, he must have 20/5 kg. Each bag is 2/5 kg, so 2/5 times 10 is 20/5 or 4kg. Therefore, he bought 10 bags of tangerines for the school party.

Answer:

Step-by-step explanation:

1 000 000 000 000 E12

Answer:

Step-by-step explanation:

0.000 000 000 001

Answer:

p=1/2

Step-by-step explanation:

If 9 is 1 half of 18 that means there is a 50% chance of you picking a pencil out of the pencil case

Answer:

30°  is one of the degree measures of the angles.

Hence, option (A) is true.

Step-by-step explanation:

Given that the degree measure of one of two complementary angles is twice that of the other.

Complementary angles

Thus the equation becomes

x + 2x = 90°

3x =  90°

Divide both equations by 3

3x/3 = 90°/3

x = 30°

Therefore, 30°  is one of the degree measures of the angles.

Hence, option (A) is true.

The degree measure of one of two complementary angles is twice that of the other. What is one of the degree measures of the angles?

A.) 30 degrees

Let one angle = x

According to statement,

Another angle = 2 × first angle

[tex] \sf : \implies Another \: angle = 2x[/tex]

Now, we know that sum of complementary angles is 90°

Hence,

[tex] \sf : \implies x + 2x = 90^{\circ}[/tex]

[tex] \sf : \implies 3x = 90^{\circ}[/tex]

[tex] \sf : \implies x = \dfrac{\cancel{90}^{\circ}}{\cancel{3}}[/tex]

[tex] \sf : \implies x = 30^{\circ}[/tex]

[tex] \Large \underline{\boxed{\sf{ x = 30^{\circ} }}}[/tex]

Therefore, one of the angle is 30°.

Another angle = 2 × 30° = 60°

Answer:

Step-by-step explanation:

a. 35 greater than or equal to 14 + x

   35 - 14 = 21

   x = $21

b. If the shirt is 30% off it would cost $9.80

   14 x 0.3 = 4.2

   14 - 4.2 = 9.8

   35 is greater than or equal to 9.80 + x

   35 - 9.8 = 25.2

   x = $25.20

   This changes the inequality by making x greater than it was in part a

c. Yes, you do have enough money to buy the shirt that is on sale and a pair of pants. x is the amount that you have left to spend after you buy the shirt that is on sale. 25.20 is greater than the cost of the pants.

Answer:

d. -2x²+3x-7

Step-by-step explanation:

Standard form is: Ax²+Bx+C

y=mx+b

1st one:

m=-3 b=-2

Not sure for proportional

Negative Slope

2nd one:

m=15 b=0

Proportional

Positive Slope

3rd one:

m=-4/3 b=8

Not sure proportional or not

Negative Slope

Answer:

Work shown below!

Step-by-step explanation:

y = -3x - 2

m = -3

b = -2

Non-proportional because it doesn't pass through the origin

Negative Slope

y = 15x

m = 15

b = 0

Proportional because it passes through the origin

Positive Slope

y = -4/3x + 8

m = -4/3

b = 8

Non-proportional because it doesn't pass through the origin

Negative Slope

Answer:

Reason 1 is: Addition

Reason 2 is: Tangent Sum Identity

Reason 3 is: Simplify

Step-by-step explanation: ED 2020

Answer:

Reason 1 is: Addition

Reason 2 is: Tangent Sum Identity

Reason 3 is: Simplify

Step-by-step explanation:

Given:

Considering only the factors of the form x - k.

To find:

The relationship between the k values and the zeros?​

Solution:

We know that, if (x-c) is a factor of a function f(x), then x=c is a zero of function f(x), i.e., f(c)=0, where, c is a constant.

It is given that, only the factors of the form x - k. Then by using the above theorem we can say that, k values are the zeros of the function.

The relationship between the k values and the zeros is defined as

​k values = Zeros of the function

Therefore, the k values are to zeros of the function.

Answer:

65.94cm

Step-by-step explanation:

The two equivalent equations to find the circumference of a circle are:

Circumference = 2 * pi * radius

Circumference = pi * diameter

Since the diameter of the circle is given, in order to find circumference, plug in 21cm into the 2nd equation:

Circumference = pi * diameter = pi * 21 cm = 3.14 * 21 = 65.94 cm

That is the answer. Hope it helps!

Answer:

We accept H₀ for a CI = 95 % we din´t find differences in the unemployment level

Step-by-step explanation:

p₀  = 12 %     p₀  = 0,12

From sample  p = 53/500     p = 0,106

Test Hypothesis

Null Hypothesis                                      H₀                       p = p₀

Alternative Hypothesis                         Hₐ                       p < p₀

p₀*n  = 0,12*500 = 60

q₀ * n = 0,88 * 500 = 440

Then the binomial distribution can be approximate to a normal distribution

The significance level  α = 0,05     CI = 95 %

We need to develop a one-tail test (to the left ) find p-value and compare it with α.

p(s) = ( p - p₀ ) / √ p*q /n

p(s) = 0,106 - 0,12 / √(0,12)*(0,88)/500

p(s) = - 0,014 / 0,015

p(s) = - 0,93

With this P score we find the area under the bell shape curve

p-value = 0,1762 and compare that area with α = 0,05

Then p-value > 0,05

Therefore we accept H₀

Answer:

t = 65 - 4d

Step-by-step explanation:

Linear Modeling

The temperature in St. Louis dropped by 4 degrees every day in one week.

When d days have passed, the temperature will have dropped by 4d degrees.

We know the temperature t at the beginning of the week was 65 degrees.

Thus, when d days pass, the linear model for the temperature t is:

t = 65 - 4d

Answer:

Step-by-step explanation:

Here are the missing values;

Mean μ = 15.5 minutes

Standard deviation = 1.7 minutes

A Random sample of 90 completion

The sample mean = 15.4 minutes

Level of significance = 0.1

Then the following analysis can be made on the above study.

Firstly, the null hypothesis is [tex]\mathbf{H_o : \mu = 15.5}[/tex]

the alternative hypothesis is [tex]\mathbf{H_a: \mu < 15.5}[/tex]  

Since, the value is less than, then this is a one-tailed test.

The Z test statistics can be computed as:

[tex]Z = \dfrac{ \overline x - \mu }{\dfrac{\sigma}{\sqrt{n}} } \ \ \sim \ \ N(0.1)[/tex]

[tex]Z = \dfrac{ 15.4-15.5 }{\dfrac{1.7}{\sqrt{90}} }[/tex]

[tex]Z = \dfrac{ -0.1 }{\dfrac{1.7}{ 9.4868} }[/tex]

Z = −0.560

The critical value of Z at 0.1  level  of significance is:

[tex]Z_{0.1} = -1.28[/tex]

Decision Rule: We fail to reject the null hypothesis sInce -0.560 > -1.28

Conclusion: NO, there is no evidence to support the claim that the mean completion time has decreased. We conclude that the mean completion time remains at 15.5 minutes.

Answer: Um, I think is [tex]\frac{x}{2-3}[/tex].

Step-by-step explanation:

Answer:

simplified it is 75 the square root of 75 is 8.66025403784

Step-by-step explanation:

Answer:

467

Step-by-step explanation:

Answer:

The remainder is 12.

Step-by-step explanation:

The Polynomial Remainder Theorem

The remainder of the division of a polynomial f(x) by (x-a) is equal to f(a).

We are given the polynomial:

[tex]p (x ) = x^3 - 3x^2 - 10x + 24[/tex]

And we are required to find the remainder when p(x) is divided by (x-1).

We can simply apply the polynomial remainder theorem, substituting x for 1 in the polynomial:

[tex]Remainder=p (1 ) = 1^3 - 3\cdot 1^2 - 10(1) + 24[/tex]

Remainder= 1 - 3 - 10 + 24 = 12

The remainder is 12.

Answer:

Step-by-step explanation:

For your first question,

Total percentage of people cheering for visiting team = 45%

Total percentage of people cheering for home team = 55%

Total number of people cheering = 1200

Therefore, the number of people cheering for visiting team = 45% of 1200

                                                                                                   = [tex]\frac{45}{100}[/tex] × 1200

                                                                                                   = 45 × 12

                                                                                                    = 540 people

For your second question,

Total number of questions = 75

Total percentage of the number of questions he completed = 36%

Percentage of the amount of questions left = 100 - 36 = 64%

Therefore, the number of questions left to complete = 64% of 75

                                                                                 = [tex]\frac{64}{100}[/tex] × 75

                                                                                 = [tex]\frac{64}{20}[/tex]  × 15

                                                                                 = [tex]\frac{64}{4}[/tex] × 3

                                                                                 = 16 × 3

                                                                                 = 48 questions are left

Answer:

1000 g

Step-by-step explanation:

That is the answer

Answer:

Step-by-step explanation:

1 gram.