Solve the inequality -3x+1 <7?
x > -2
x < -2
x > 2
Pls help meeeee

Answer:

Step-by-step explanation:

Begin by dividing both sides by -4 to get:

[tex]\frac{\sqrt{2} }{2}=sin2\theta[/tex] and then take the inverse sin of both sides to get

[tex]sin^{-1}(\frac{\sqrt{2} }{2})=2\theta[/tex] (the inverse sin undoes the sin on the right). Now we need to look on our unit circle to find the angles where [tex]sin(\frac{\sqrt{2} }{2})[/tex] is positive. There are 2 places. Sin is positive in both QI and QII. The angles are

[tex]\frac{\pi}{4},\frac{3\pi}{4}[/tex]. Therefore, our 2 equations are

[tex]\frac{\pi}{4}=2\theta[/tex]  and  [tex]\frac{3\pi}{4}=2\theta[/tex].  Solving the first equation:

[tex]\theta=\frac{\pi}{8}[/tex]

and the second equation:

[tex]\theta=\frac{3\pi}{8}[/tex]

Answer:

(fog) (x) = 8*(2x+1)=16x+8

Step-by-step explanation:

Answer:

Supplementary is your answer

Answer:

2, 367

Step-by-step explanation:

142,020 / 5 = 28, 404

28, 404 / 12 = 2, 367

Answer:

21

Step-by-step explanation:

The smallest number that can go into both 3 and 7 as our denominators is 21. This can be worked about by multiplying them together.

(FYI: In some cases, if the product is even, it may not always work to multiply them together)

Answer:

21

hope this helps

have a good day :)

Step-by-step explanation:

3 multiples are 3, 6, 9, 12, 15, 18, 21, 24

7 multiples are 7, 14, 21, 28

so would need to change both denominators to 21 and multiple 7 and to 1/3 to get 7/21 and 3 to 4/7 to get 12/21

Answer:

pls provide with a graph

Answer:

-5, -1/2

Step-by-step explanation:

I could only show half of the steps, but you can use the app photo math, you just take a pic of the problem and it gives you the answer and explains the steps.

Answer:

Step-by-step explanation:

4^-3

=1/4^3

=1/64

Answer:

[tex]\frac{1}{64}[/tex]

Step-by-step explanation:

[tex]4^{-3} = 0.015625[/tex]

[tex]0.015625 = \frac{1}{64}[/tex]

Answer:

25

Step-by-step explanation:

Answer:

40 cm

Step-by-step explanation:

57600 is the volume here

Because "was filled with 57600cm of water."

36 x 40 x n = 57600

n = 40

Answer:

C.-2.33

Step-by-step explanation:

We are given that

Significance level, [tex]\alpha =1[/tex]%=0.01

We have to find  the critical value of z  for a left-tailed test.

To find the critical value , we will use the z-table at significance level 0.01 for left-tailed test.

By using the z-table at significance level 0.01 for left-tailed test

The critical value of z at  1% significance level for left-tailed test

=-2.33

We get p-value by using z-critical value

P-value=0.0099<0.01

So, hypothesis  test would be reject the null hypothesis at  at 1% significance level.

Hence, the critical value of z=-2.33

Option C is true.

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Answer:

  105°

Step-by-step explanation:

The sum of measures of angles in a triangle is 180°. The third angle is ...

  180° -22° -53° = 105°

Answer:143!!

Step-by-step explanation:answer : 143

Answer:

5x = 11.

Step-by-step explanation:

-4x - 2y = -2

x    - 2y =  9  

Subtracting:

-4x - x - 2y - (-2y) = -2 - 9

-5x - 2y + 2y = -11

-5x = -11

5x = 11.

Answer: 17 1/2 or decimal form = 17.5

Step-by-step explanation: Hope this helped!

Answer:

17.5 Statues im pretty sure.

Step-by-step explanation:

7/8 divided by 1/20

Answer:

B. 45

Step-by-step explanation:

50x.10=5 discount

50-5=45

Step-by-step explanation:

Answer:

8 divided by two equals the radius 4

3.14*4^2=50.24

Hope This Helps!!!

Answer:

A=25% B=75%

Step-by-step explanation:

So first lets make a sample space. (Im using red, blue, green, and yellow)

rr, rb, rg, ry

br, bb, bg, by

gr, gb, gg, gy

yr, yb, yg, yy

So for A its 4/16 or 1/4=25%

For B its 12/16=3/4=75%

Answer:

6

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

Identify

7(14 - 8) - 6²

Step 2: Evaluate

Answer:

11

Step-by-step explanation:

because they empty 6 bags and there are 5 bags left to that is 11 all together

The total number of bags of leaves b is given by the equation b = 11 bags

What is an Equation?

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

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

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.

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the total number of bags be = b

The number of bags emptied by Cora's brother = 6 bags

The number of bags left with Cora = 5 bags

So , the equation will be

The total number of bags b = number of bags emptied by Cora's brother + number of bags left with Cora

Substituting the values in the equation , we get

The total number of bags b = 6 + 5

The total number of bags b = 11 bags

Therefore , the value of A is 11 bags

Hence , the number of bags of leaves is 11 bags

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

Angle S and angle R are supplementary angles and need to add together to equal 180 degrees.

This means angle r = 180-145 = 35 degrees.

36x -1 = 35

Add 1 to both sides:

36x = 36

Divide both sides by 36

X = 1

Answer:

Work attached below :D

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Answer:

  see below

Step-by-step explanation:

Perhaps you're stuck because it is too simple. If any value in the x-column is repeated, the relation is not a function.

Of the two relations shown, the first is not a function (x=3 is repeated), and the second one is a function (all the x-values are different).

9514 1404 393

Answer:

  3.0

Step-by-step explanation:

The angle, its opposite side, and the hypotenuse are given. Then the relevant trig relation is ...

  Sin = Opposite/Hypotenuse

  sin(21°) = x/8.3 . . . . . . . . . . . . . . . . . . use the given values

  x = 8.3·sin(21°) ≈ 8.3×0.3584 . . . . . . multiply by 8.3

  x ≈ 3.0

9514 1404 393

Answer:

  140°

Step-by-step explanation:

Angles 1 and 3 are "corresponding" angles, so are congruent.

  ∠1 = ∠3

  20x +60 = 30x +20

  40 = 10x . . . . . . . . . . . . subtract 20x+20

  4 = x . . . . . . . . . . . . . . divide by 10

  ∠1 = 20x +60 = 20(4) +60 = 80 +60

  ∠1 = 140°

Answer:

140°

Step-by-step explanation:

Angle 1 and angle 3 are corresponding angles ;

Corresponding angles are equal ;

Hence,

Angle 1 = Angle 3

20x + 60 = 30x + 20

Collect like terms

20x - 30x = 20 - 60

-10x = - 40

x = 4

Angle 1 is thus :

20x + 60 ; x = 4

20(4) + 60

80 + 60

= 140°

Answers:

x = 51

y = 39

===========================================================

Explanation:

The angles 39 and x form a right angle, aka 90 degree angle. This is shown by the small square angle marker.

One equation to solve is x+39 = 90. Doing so leads to x = 51 after subtracting 39 from both sides.

Similarly, another equation to solve is x+y = 90. Plug in x = 51 and isolate y

x+y = 90

51+y = 90

y = 90-51

y = 39

Answer:

5470

Step-by-step explanation:

[tex]5000(1+\frac{.03}{12})^{12*3}=5470.257[/tex]

The future value of the investment in the savings account with montly compounding is $5470.

When an investment is compouded monthly, it means that it increases in value every month.

The formula for calculating future value:

FV = P (1 + r)^nm

5000 x ( 1.0025)^36 = $5470

To learn more about future value, please check: https://brainly.com/question/18760477

Answer:

90% confidence interval is ( -149.114, -62.666   )

Step-by-step explanation:

Given the data in the question;

Sample 1                                Sample 2

x"₁ = 259.23                            x"₂ = 365.12

s₁  = 34.713                              s₂ = 48.297

n₁ = 5                                       n₂ = 10

With 90% confidence interval for μ₁ - μ₂ { using equal variance assumption }

significance level ∝ = 1 - 90% = 1 - 0.90 = 0.1

Since we are to assume that variance are equal and they are know, we will use pooled variance;

Degree of freedom DF = n₁ + n₂ - 2 = 5 + 10 - 2 = 13

Now, pooled estimate of variance will be;

[tex]S_p^2[/tex] = [ ( n₁ - 1 )s₁² + ( n₂ - 1)s₂² ] / [ ( n₁ - 1 ) + ( n₂ - 1 ) ]

we substitute

[tex]S_p^2[/tex] = [ ( 5 - 1 )(34.713)² + ( 10 - 1)(48.297)² ] / [ ( 5 - 1 ) + ( 10 - 1 ) ]

[tex]S_p^2[/tex] = [ ( 4 × 1204.9923) + ( 9 × 2332.6 ) ] / [  4 + 9 ]

[tex]S_p^2[/tex] = [ 4819.9692 + 20993.4 ] / [  13 ]

[tex]S_p^2[/tex] = 25813.3692 / 13

[tex]S_p^2[/tex] = 1985.64378

Now the Standard Error will be;

[tex]S_{x1-x2[/tex] = √[ ( [tex]S_p^2[/tex] / n₁ ) + ( [tex]S_p^2[/tex] / n₂ ) ]

we substitute

[tex]S_{x1-x2[/tex] = √[ ( 1985.64378 / 5 ) + ( 1985.64378 / 10 ) ]

[tex]S_{x1-x2[/tex] = √[ 397.128756 + 198.564378 ]

[tex]S_{x1-x2[/tex] = √595.693134

[tex]S_{x1-x2[/tex] = 24.4068

Critical Value = [tex]t_{\frac{\alpha }{2}, df[/tex] = [tex]t_{0.05, df=13[/tex] = 1.771  { t-table }

So,

Margin of Error E =  [tex]t_{\frac{\alpha }{2}, df[/tex] × [ ( [tex]S_p^2[/tex] / n₁ ) + ( [tex]S_p^2[/tex] / n₂ ) ]

we substitute

Margin of Error E = 1.771 × 24.4068

Margin of Error E = 43.224

Point Estimate = x₁ - x₂ = 259.23 - 365.12 = -105.89

So, Limits of 90% CI will be; x₁ - x₂ ± E

Lower Limit = x₁ - x₂ - E = -105.89 - 43.224 = -149.114

Upper Limit = x₁ - x₂ - E = -105.89 + 43.224 = -62.666

Therefore, 90% confidence interval is ( -149.114, -62.666   )