2² + 2[2(3+1)(3-2)-1]

Answer:

C. [tex]-x-6>-3.5[/tex]

Step-by-step explanation:

One is asked to find which inequality has ([tex]x=-3[/tex]) in its solution set. Remember that an inequality is another way to represent a set of solutions. In essence, it states that all numbers less than; less than or equal to; greater than; or greater than or equal to, are a part of the solution. One simplifies an inequality in a similar manner to how one simplifies an equation, by using inverse operations and simplification. Just note that when multiplying or dividing the inequality by a negative number, one has to flip the inequality sign to ensure the expression remains true.

Simplify each of the inequalities, then evaluate to see which one has ([tex]x=-3[/tex]) as a part of its solution set.

A. [tex]-x -6<-3.5[/tex]

[tex]-x<2.5[/tex]

[tex]x>-2.5[/tex]

B. [tex]-x-6>3.5[/tex]

[tex]-x>9.5[/tex]

[tex]x<-9.5[/tex]

C. [tex]-x-6>-3.5[/tex]

[tex]-x>2.5[/tex]

[tex]x<-2.5[/tex]

D. [tex]x-6>-3.5[/tex]

[tex]x>2.5[/tex]

As can be seen, option (C [tex]-x-6>-3.5[/tex]) is the only one that fits this requirement. Since option (C) simplifies down to ([tex]x<-2.5[/tex]) or in words, (x) is less than (-2.5). This option is the only one that fits the solution since (-3) is less than (-2.5).

Answer: [tex]x = \pm2\sqrt{7}\\\\[/tex]

Work Shown:

[tex]x^2 = 28\\\\x = \pm\sqrt{28}\\\\x = \pm\sqrt{4*7}\\\\x = \pm\sqrt{4}*\sqrt{7}\\\\x = \pm2\sqrt{7}\\\\[/tex]

This can be rewritten into [tex]x = 2\sqrt{7} \ \text{ or } \ x = -2\sqrt{7}[/tex]

Answer:

10

Step-by-step explanation:

The first equation should be the same with the second one, then we will have an infinite number of solutions of this system.

So if I multiply the first equation by 3, it'll be

6x-18y=3k

So if they should be the same, 30=3k

K=10

Answer:

[tex]P(x \ge 5) = 0.60[/tex]

Step-by-step explanation:

Given

[tex]S = \{5, 2, 7, 2, 3, 4, 10, 6,4,6,3, 6, 6, 4, 8,5,7,7,1,5\}[/tex]

[tex]n(S) = 20[/tex]

Required

[tex]P(x \ge 5)[/tex]

First, we count the number of trials that are at least 5

[tex]x = \{5, 7, 10, 6,6, 6, 6, 8,5,7,7,5\}[/tex]

So, we have:

[tex]n(x \ge 5) = 12[/tex]

So, we have:

[tex]P(x \ge 5) = \frac{n(x \ge 5)}{n(S)}[/tex]

This gives

[tex]P(x \ge 5) = \frac{12}{20}[/tex]

[tex]P(x \ge 5) = 0.60[/tex]

Answer:

Step-by-step explanation:

Reference angle in quadrant I,

θ' = θ

Reference angle in quadrant II,

θ' = 180° - θ

Reference angle in quadrant III,

θ' = θ - 180°

Reference angle in quadrant IV,

θ' = 360° - θ

13). θ = 315°

Since, the given angle is in the 4th quadrant,

Reference angle θ' = 360° - 315°

                                 = 45°

14). θ' = (620° - 540°)

         = 80°

Reference angle = 80°

15). θ' = 630° - θ

          = 630° - 580°

          = 50°

Reference angle = 50°

Answer:

1. D

2.C

3. E

4.A

Step-by-step explanation:

the guy above or below me is incorrect.

Answer:

(x+12, y-24)

Step-by-step explanation:

The rule is (x, y) -> (x+12, y-24)

Answer:

48.5 ft

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The absolute value of a number is the actual distance of the number from zero. So, it is always a positive number. No negative value.

A) I -4.5I = 4.5    TRUE

B) I 0I  < I -45I   TRUE  

Reason: 0 < 45

C) I 45 I > 0         TRUE

D) I4.5 I > I - 45 I     FALSE

Reason: 4.5is not greater than 45

Answer:

D

Step-by-step explanation:

Answer:

1536 cm^2 be the correct answ

Answer: Option 2

1536cm²

Lateral Area=32×(24/2)×4

=1536 (cm²)

Answered by Gauthmath must click thanks and mark brainliest

Answer:

5

Step-by-step explanation:

(x+5)(x-3)=20

x=5

Answer:

D

Step-by-step explanation:

I really think the answer is D

Answer:

i) 2.58

ii) We reject the claim

Step-by-step explanation:

The number of subjects in the ginkgo treatment group, n₁ = 1,545

The number of subjects in the placebo group, n₂ = 1,524

The number that developed dementia in the ginkgo group = 246

The number that developed dementia in the placebo group = 277

The proportion that developed dementia in the ginkgo group, [tex]\hat{p}_1[/tex] = 246/1,545 = 82/515

The proportion that developed dementia in the placebo group, [tex]\hat{p}_2[/tex] = 277/1,524

The null hypothesis is H₀; [tex]\hat{p}_1[/tex] = [tex]\hat{p}_2[/tex]

The alternative hypothesis is Hₐ; [tex]\hat{p}_1[/tex] ≠ [tex]\hat{p}_2[/tex]

The z-test statistic is given as follows;

[tex]Z=\dfrac{\hat{p}_1-\hat{p}_2}{\sqrt{\hat{p} \cdot (1-\hat{p}) \cdot \left (\dfrac{1}{n_{1}}+\dfrac{1}{n_{2}} \right )}}[/tex]

Therefore, we get;

[tex]Z=\dfrac{\dfrac{82}{515} -\dfrac{277}{1,524} }{\sqrt{\left (\dfrac{\dfrac{82}{515} \times \left(1 - \dfrac{82}{515} \right) }{1,545}+\dfrac{\dfrac{277}{1,524} \times \left (1 - \dfrac{277}{1,524} \right)}{1,524} \right )}} \approx -1.66[/tex]

From the the p-value at z ≈ -1.66 is p = 0.04846.

i) The z-Critical at 0.01 significant level is 2.58

ii) Given that the p-value, 0.04846, is larger than the significant level, 0.01, the p-value is not significant, and we fail to reject the null hypothesis

There is sufficient statistical evidence to suggest that there is no difference in the proportion of the subject on the ginkgo treatment and the proportion of the subject on the placebo treatment that have dementia, we therefore reject the claim that the herb ginkgo biloba is effective for the treatment of dementia.

Answer:

(-2, -9)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Coordinates (x, y)

Functions

Step-by-step explanation:

Step 1: Define

Identify

f(x) = x³ - 1

x = -2

Step 2: Evaluate

Answer:

Step-by-step explanation:

6 + 2 = 4,  given

6 + 5 = 11, correct

Answer:

  (a)  no solution

Step-by-step explanation:

Writing the second equation in slope-intercept form, it becomes ...

  3x -y = 2 . . . . given

  y = 3x -2 . . . . add y-2 to both sides

The first equation is already in slope-intercept form:

  y = 3x +3 . . . . first equation

The coefficients of x in the two equations are both 3, so the lines they describe are parallel. They do not intersect, so there is no solution.

Answer:

1.432

2. 8978

Step-by-step explanation:

Step-by-step explanation:

hello you then good mujhe samajh mein nahin a rahi hai sorry

Answer:

0.23923444976

Step-by-step explanation:

3x+5x+4+3

=8x+7

hope it helps

Answer:

6x+7

Step-by-step explanation:

x+4+5x+3

Combine like terms

x+5x   +4+4

6x+7

Answer:6

Step-by-step explanation: The rules of exponential says (a^x)^y=a^xy.

Therefore you will multiply 1/4 with 4 to get an exponent of 1. So the answer is 6^1 which is also written as 6

Answer:

9/49

Step-by-step explanation:

4 purple beads and 3 green beads= 7 beads

P( green) = green = total = 3/7

Replace the bead

4 purple beads and 3 green beads= 7 beads

P( green) = green = total = 3/7

P( green , replace, green) = 3/7 * 3/7 = 9/49

you have to plug in the x value to discover the y

y= 4.3 x 1

y = 4.3

so, the ordered pair is (1, 4.3)

hope it helps :)

Step-by-step explanation:

we see, for x=-1 we get 3³

x=0 we get 3²

x=1 we get 3¹

so the function is definitely a 3 to the power of x version.

but we need to adapt the exponent a bit and correct x, so that at least for these 3 values of x the result is "running backwards".

the easiest way : 2-x as exponent.

it fits.

for x=-1 we get 2 - -1 = 3 as exponent.

for x=0 we get 2-0 = 2 as exponent.

for x=1 we get 2-1 = 1 as exponent.

so, the exponential function passing through these 3 points is

[tex]f(x) = {3}^{2 - x} [/tex]

Answer:

its 1,2,4,5

Step-by-step explanation:

Answer:

A, B, D, E

Step-by-step explanation:

Arc PQ is congruent to arc SR. TRUE

The measure of arc QR is 150°. TRUE

The circumference of circle C is 20π cm. FALSE

Arc PS measures about 13.1 cm. TRUE

Arc QS measures about 15.7 cm. TRUE

Answer:

65

Step-by-step explanation:

1=5

13=x

1x=5x13

1x=65

divide both sides by 1

x=65

Answer:

The distance from the plane to the airport is around 245.57 feet.

Step-by-step explanation:

Angle of depression = 7 degrees

Height  (Vertical portion of a right-angle triangle) = 2,000 feet

We are looking for the base of the right-angle triangle, which represents the distance from the plane to the airport. Therefore, we must use SOH or CAH or TOA to help us determine the length of the base. In this case, it is most convenient to use TOA:

tanΘ=[tex]\frac{Opposite}{Adjacent}[/tex]

Rearrange the equation to solve for 'Opposite':

Opposite=(tanΘ)(Adjacent)

Opposite=(tan[7])(2,000)

Opposite=0.12278456*2,000

Opposite=245.5691218 feet

Thus, the distance from the plane to the airport is around 245.57 feet.

Answer:

your answer is B.

Step-by-step explanation:

mode is 76, mean is 79, the median is 76.