the inequality -15<-6 is given. divide both sides of the inequality by 3.

i got -5<-2 but it said it was wrong?
thank you!!

Answer:

No, it doesn't mean that we can say over 50% of all people in the U.S. do not support gay marriage.

Step-by-step explanation:

We are given that a telephone poll is conducted by contacting U.S. citizens via landlines about their view of gay marriage.

Suppose over 50% of those called do not support gay marriage.

Firstly, as we can see here that we have no information about the population and also how many people have been surveyed. This means that we can't say that this poll is a representative sample.

A representative sample is that which incorporates the characteristics of the whole population. As here the U.S. citizens have been contacted through landlines which means this poll does not include people who neither have landlines nor cell phones.

So, by no means, a telephone poll is a representative sample of the whole population of Us.

Hence, we can't say that over 50% of all people in the U.S. do not support gay marriage.

Answer:

It's A

Because it said that x-4 is bigger than 13 so anything bigger than 13 is the answer

The graph shows two functions, f(x) and g(x). So, the statements that describe the resulting graph h(x) is point (-2,2) is on h(x)

A graph is described as the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

In the question above, we have two functions f(x)=x²-2 and g(x)=x²+2 by adding the function we will get the combined function.

The graph that the function is varying from the coordinates (-2,2) is seen on the attached graph.

Therefore, we can conclude that the graph shows two functions, f(x) and g(x). So point (-2,2) is on h(x)

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If the triangle LMK has a perimeter 11 + 14 + 17 = 42, the triangle GHJ has a perimeter (6/5)*42 = 50.4 units

Answer:

b

Step-by-step explanation:

because females are randomly selected the and the probability that they have pulse rates with am mean trough dependent sarcasm

Answer:

No

Step-by-step explanation:

Input the values and see if the equation is true.

2x + 3y = 6

(2, 3) x = 2, y = 3

2(2) + 3(3) = 6

4 + 9 = 6

13 ≠ 6

The value of integral is 3.

Let's evaluate the integral over the positive half of the interval:

∫[0 to π] (cos(x) / √(4 + 3sin(x))) dx

Let u = 4 + 3sin(x), then du = 3cos(x) dx.

Substituting these expressions into the integral, we have:

∫[0 to π] (cos(x) / sqrt(4 + 3sin(x))) dx = ∫[0 to π] (1 / (3√u)) du

Using the power rule of integration, the integral becomes:

∫[0 to π] (1 / (3√u)) du = (2/3) . 2√u ∣[0 to π]

Evaluating the definite integral at the limits of integration:

(2/3)2√u ∣[0 to π] = (2/3) 2(√(4 + 3sin(π)) - √(4 + 3sin(0)))

(2/3) x 2(√(4) - √(4)) = (2/3) x 2(2 - 2) = (2/3) x 2(0) = 0

So, the value of integral is

= 3-0

= 3

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Answer:

\(3-\displaystyle \int^{\pi}_{-\pi} \dfrac{\cos x}{\sqrt{4+3 \sin x}}\; \text{d}x\approx 0.806\; \sf (3\;d.p.)\)

Step-by-step explanation:

First, compute the indefinite integral:

\(\displaystyle \int \dfrac{\cos x}{\sqrt{4+3\sin x}}\; \text{d}x\)

To evaluate the indefinite integral, use the method of substitution.

\(\textsf{Let} \;\;u = 4 + 3 \sin x\)

Find du/dx and rewrite it so that dx is on its own:

\(\dfrac{\text{d}u}{\text{d}x}=3 \cos x \implies \text{d}x=\dfrac{1}{3 \cos x}\; \text{d}u\)

Rewrite the original integral in terms of u and du, and evaluate:

\(\begin{aligned}\displaystyle \int \dfrac{\cos x}{\sqrt{4+3\sin x}}\; \text{d}x&=\int \dfrac{\cos x}{\sqrt{u}}\cdot \dfrac{1}{3 \cos x}\; \text{d}u\\\\&=\int \dfrac{1}{3\sqrt{u}}\; \text{d}u\\\\&=\int\dfrac{1}{3}u^{-\frac{1}{2}}\; \text{d}u\\\\&=\dfrac{1}{-\frac{1}{2}+1} \cdot \dfrac{1}{3}u^{-\frac{1}{2}+1}+C\\\\&=\dfrac{2}{3}\sqrt{u}+C\end{aligned}\)

Substitute back u = 4 + 3 sin x:

                            \(= \dfrac{2}{3}\sqrt{4+3\sin x}+C\)

Therefore:

\(\displaystyle \int \dfrac{\cos x}{\sqrt{4+3\sin x}}\; \text{d}x= \dfrac{2}{3}\sqrt{4+3\sin x}+C\)

To evaluate the definite integral, we must first determine any intervals within the given interval -π ≤ x ≤ π where the curve lies below the x-axis. This is because when we integrate a function that lies below the x-axis, it will give a negative area value.

Find the x-intercepts by setting the function to zero and solving for x in the given interval -π ≤ x ≤ π.

\(\begin{aligned}\dfrac{\cos x}{\sqrt{4+3\sin x}}&=0\\\\\cos x&=0\\\\x&=\arccos0\\\\\implies x&=-\dfrac{\pi }{2}, \dfrac{\pi }{2}\end{aligned}\)

Therefore, the curve of the function is:

So to calculate the total area, we need to calculate the positive and negative areas separately and then add them together, remembering that if you integrate a function to find an area that lies below the x-axis, it will give a negative value.

Integrate the function between -π and -π/2.

As the area is below the x-axis, we need to negate the integral so that the resulting area is positive:

\(\begin{aligned}A_1=-\displaystyle \int^{-\frac{\pi}{2}}_{-\pi} \dfrac{\cos x}{\sqrt{4+3\sin x}}\; \text{d}x&=- \left[\dfrac{2}{3}\sqrt{4+3\sin x}\right]^{-\frac{\pi}{2}}_{-\pi}\\\\&=-\dfrac{2}{3}\sqrt{4+3 \sin \left(-\frac{\pi}{2}\right)}+\dfrac{2}{3}\sqrt{4+3 \sin \left(-\pi\right)}\\\\&=-\dfrac{2}{3}\sqrt{4+3 (-1)}+\dfrac{2}{3}\sqrt{4+3 (0)}\\\\&=-\dfrac{2}{3}+\dfrac{4}{3}\\\\&=\dfrac{2}{3}\end{aligned}\)

Integrate the function between -π/2 and π/2:

\(\begin{aligned}A_2=\displaystyle \int^{\frac{\pi}{2}}_{-\frac{\pi}{2}} \dfrac{\cos x}{\sqrt{4+3\sin x}}\; \text{d}x&= \left[\dfrac{2}{3}\sqrt{4+3\sin x}\right]^{\frac{\pi}{2}}_{-\frac{\pi}{2}}\\\\&=\dfrac{2}{3}\sqrt{4+3 \sin \left(\frac{\pi}{2}\right)}-\dfrac{2}{3}\sqrt{4+3 \sin \left(-\frac{\pi}{2}\right)}\\\\&=\dfrac{2}{3}\sqrt{4+3 (1)}-\dfrac{2}{3}\sqrt{4+3 (-1)}\\\\&=\dfrac{2\sqrt{7}}{3}-\dfrac{2}{3}\\\\&=\dfrac{2\sqrt{7}-2}{3}\end{aligned}\)

Integrate the function between π/2 and π.

As the area is below the x-axis, we need to negate the integral so that the resulting area is positive:

\(\begin{aligned}A_3=-\displaystyle \int^{\pi}_{\frac{\pi}{2}} \dfrac{\cos x}{\sqrt{4+3\sin x}}\; \text{d}x&= -\left[\dfrac{2}{3}\sqrt{4+3\sin x}\right]^{\pi}_{\frac{\pi}{2}}\\\\&=-\dfrac{2}{3}\sqrt{4+3 \sin \left(\pi\right)}+\dfrac{2}{3}\sqrt{4+3 \sin \left(\frac{\pi}{2}\right)}\\\\&=-\dfrac{2}{3}\sqrt{4+3 (0)}+\dfrac{2}{3}\sqrt{4+3 (1)}\\\\&=-\dfrac{4}{3}+\dfrac{2\sqrt{7}}{3}\\\\&=\dfrac{2\sqrt{7}-4}{3}\end{aligned}\)

To evaluate the definite integral, sum A₁, A₂ and A₃:

\(\begin{aligned}\displaystyle \int^{\pi}_{-\pi} \dfrac{\cos x}{\sqrt{4+3\sin x}}\; \text{d}x&=\dfrac{2}{3}+\dfrac{2\sqrt{7}-2}{3}+\dfrac{2\sqrt{7}-4}{3}\\\\&=\dfrac{2+2\sqrt{7}-2+2\sqrt{7}-4}{3}\\\\&=\dfrac{4\sqrt{7}-4}{3}\\\\ &\approx2.194\; \sf (3\;d.p.)\end{aligned}\)

Now we have evaluated the definite integral, we can subtract it from 3 to evaluate the given expression:

\(\begin{aligned}3-\displaystyle \int^{\pi}_{-\pi} \dfrac{\cos x}{\sqrt{4+3 \sin x}}\; \text{d}x&=3-\dfrac{4\sqrt{7}-4}{3}\\\\&=\dfrac{9}{3}-\dfrac{4\sqrt{7}-4}{3}\\\\&=\dfrac{9-(4\sqrt{7}-4)}{3}\\\\&=\dfrac{13-4\sqrt{7}}{3}\\\\&\approx 0.806\; \sf (3\;d.p.)\end{aligned}\)

Therefore, the given expression cannot be zero.

Hello.

The LCM is the smallest number that they all have in common when adding it by itself.

The multiples of 5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50...

The multiples of 10: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100...

The multiples of 15: 15, 30, 45, 60, 75, 90, 105, 120, 135, 150...

The Least Common Multiple is 30.

The answer is C. 30

If the confidence level will increase, the margin of error will also increases.

The margin of error is defined a range of values below and above the sample statistic in a confidence interval.

The confidence interval is a way to show what is uncertainty is with a certain statistic.

According to the given question

Environmentalist estimating true mean weight or all cars.

For the true mean weights of 2.8 to 3.4 tons the confidence level is 90%.

Since, the confidence level increases, the critical value increases and hence the margin of error increases.

Therefore, if the confidence level will increase, the margin of error will also increases.

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Given an expression as below:

Using a partial fraction:

Where

Therefore the above expression = True

The third term (a3) of the sequence is -8, the fourth term (a4) is 35, and the fifth term (a5) is -183. These values are obtained by applying the given formula recursively and substituting the previous terms accordingly. The calculations follow a specific pattern and are derived using the provided formula.

The sequence is defined by the following formula:

a1 = 1, a2 = 3,

and

an = (-1)nan - 1 + an - 2 for n ≥ 3.

To find the third term (a3), we substitute n = 3 into the formula:

a3 = (-1)(3)(a3 - 1) + a3 - 2.

Next, we simplify the equation:

a3 = -3(a2) + a1.

Since we know a1 = 1 and a2 = 3, we substitute these values into the equation:

a3 = -3(3) + 1.

Simplifying further:

a3 = -9 + 1.

Therefore, the third term (a3) is equal to -8.

To find the fourth term (a4), we substitute n = 4 into the formula:

a4 = (-1)(4)(a4 - 1) + a4 - 2.

Simplifying the equation:

a4 = -4(a3) + a2.

Since we know a2 = 3 and a3 = -8, we substitute these values into the equation:

a4 = -4(-8) + 3.

Simplifying further:

a4 = 32 + 3.

Therefore, the fourth term (a4) is equal to 35.

To find the fifth term (a5), we substitute n = 5 into the formula:

a5 = (-1)(5)(a5 - 1) + a5 - 2.

Simplifying the equation:

a5 = -5(a4) + a3.

Since we know a4 = 35 and a3 = -8, we substitute these values into the equation:

a5 = -5(35) + (-8).

Simplifying further:

a5 = -175 - 8.

Therefore, the fifth term (a5) is equal to -183.

In summary, the third term (a3) is -8, the fourth term (a4) is 35, and the fifth term (a5) is -183.

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Answer:

A

Step-by-step explanation:

Since cosine is positive and sine is negative that puts θ in Quad IV.

From right triangles we know:

Cos θ = adjacent/hypotenuse = 5/13

sin θ = opposite/hypotenuse = ?/13

To find the opposite side across from θ use the pythagorean theorem.

5² + y² = 13²

25 + y² = 169

y² = 144

y = 12

we are given  that sin is < 0 so sinθ = -12/13

Answer:

A

Step-by-step explanation:

\(\cos(\theta)=\dfrac{\textsf{adjacent side}}{\textsf{hypotenuse}}=\dfrac{5}{13}\)

\(\textsf{As }\cos(\theta) > 0 \textsf{ the angle is in quadrant I or IV}\)

Using Pythagoras' Theorem a² + b² = c² to find the side opposite the angle:

⇒ 5² + b² = 13²

⇒ b² = 144

⇒ b = 12

⇒ opposite side = 12

\(\implies \sin(\theta)=\dfrac{\textsf{opposite side}}{\textsf{hypotenuse}}=\dfrac{12}{13}\)

\(\textsf{As }\sin(\theta) < 0 \textsf{ then }\sin(\theta)=-\dfrac{12}{13} \textsf{ and the angle is in either quadrant III or quadrant IV}\)

Therefore, the common quadrant is quadrant IV and

\(\sin(\theta)=-\dfrac{12}{13}\)

Using simple interest, it is found that:

12. The loan matured after 6 years.

13. The actual interest rate was of 12%.

Simple interest is used when there is a single compounding per time period.

The amount of interest after t years in is modeled by:

\(I(t) = Prt\)

In which:

Question 12:

The parameters are: P = 2000, r = 0.06, I = 720, hence:

\(I(t) = Prt\)

\(720 = 2000(0.06)t\)

\(t = \frac{720}{2000 \times 0.06}\)

\(t = 6\)

The loan matured after 6 years.

Question 13:

The parameters are: t = 5, P = 4000, r = 0.11.

Hence:

I = 4000 x 0.11 x 5 = 2200.

$200 more was charged in interest, hence I(5) = 2400, and:

\(I(t) = Prt\)

\(2400 = 4000(5)r\)

\(r = \frac{2400}{20000}\)

\(r = 0.12\)

The actual interest rate was of 12%.

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Answer:

Sample Number Sample Mean

1 11.8

2 12.5

3 15.1

4 14.3

5 13.0

6 12.9

7 10.2

8 11.5

9 12.9

10 15.4

Now the most likely mean of the population can be found by finding the mean of given sample means. It is given below:

Therefore, the most likely mean of the population from which the samples were taken is 12.96.

Answer:

12.9

Step-by-step explanation:

Answer:

Hope you can understand my handwriting though

Answer:

so first, 0 can't be divisible

but whatever,

0 + 0=0

0-0=0

0/0=0 = 0+0=0/0=0

so the answer will stay the same, which is 0.

lol, hope that helps, dude/dudess.

Answer:

0

Step-by-step explanation:

because

0+0=0

0-0=0

0÷0=0

0×0=0

The angle  made by one of the tensions suspending particle P is 50⁰.

The angle θ made by one of the tensions is calculated by applying trig identities as follows;

the force opposite the angle = weight of the block = mg

W = 7.75 kg x 9.8 m/s²

W = 75.95 N

The angle θ made by one of the tensions is calculated as follows;

cos θ = (38 N ) / ( 59 N)

cos θ = 0.6441

θ = arc cos (0.6441)

θ = 50⁰

Thus, the angle θ made by one of the tensions is determined as 50 degrees.

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The missing part of the question is in the image attached.

Answer: (x+6)(x-3)

Step-by-step explanation:

y=x^2+3x-18

(x+6)(x-3 )

Answer:

224

Step-by-step explanation:

360.-136.

The  BOD is the diameter of the circle, and angles AOB and COD are both 90 degrees. Also, AC and BC intersect at E, and angles AEB and CEB are both 45 degrees.

AC and BC intersect at E. This means that E is the point of intersection of two chords of the circle, AC and BC.
Now, we can use some important properties of circles to understand more about the diagram.
Firstly, we know that any angle subtended by an arc at the circumference of a circle is half the size of the angle subtended by the same arc at the center of the circle.

This is called the angle subtended by an arc theorem.
Using this theorem,

We can see that angle AOB is 180 degrees because BOD is the diameter of the circle and angle AOD subtends this arc.

Therefore,

The angle subtended by the same arc at the circumference, i.e., angle AOB, must be half of 180 degrees, which is 90 degrees.
Similarly,

We can see that angle COD is also 180 degrees because it subtends the same arc as angle AOD. Therefore, angle COB must also be 90 degrees.
Now, let's consider the point E. Since AC and BC intersect at E, we can see that angle AEB and angle CEB are opposite angles formed by the intersection of two lines.

We know that opposite angles are equal, so angle AEB must be equal to angle CEB.
Using the angle subtended by an arc theorem again, we can see that angle AOB and angle AEB subtend the same arc at the circumference.

Therefore, angle AEB must be half of angle AOB, which is 45 degrees.
The angle CEB is also 45 degrees.
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Answer:

Step-by-step explanation:

5,7,9

trust the process.

Answer:

The value of a is -1.

Step-by-step explanation:

The line of symmetry of a parabola is a vertical line that divides the parabola into two congruent halves.

For a quadratic function in standard form, \(y=ax^2+bx+c\), the line of symmetry is a vertical line given by \(x=-\frac{b}{2a}\).

We know that the quadratic equation, \(y=ax^2+8x-3\), has x = 4 as line of symmetry. Therefore, the value of a is:

                                                         \(4=-\frac{8}{2a}\\\\4=-\frac{4}{a}\\\\4a=-4\\\\a=-1\)

Answer:

a=-1

Step-by-step explanation:

so that the other person could get brainliest

Answer:

7,16,x,x,x is the wire answer

Answer:

distributive

Step-by-step explanation:

6 * x = 6x

6 * 4 = 24

move the plus sign

6x+24

The value of x in the equation x^x = 4^(x + 16) is 16

From the question, we have the following parameters that can be used in our computation:

x^x = 4^(x + 16)

Take the logarithm of both sides

So, we have

xlog(x) = (x + 16)log(4)

At this point, we make use of a graphing calculator

From the calculator, we have

x = 16

Hence, the solution is x = 16

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Answer:

The answer is "0.359"

Step-by-step explanation:

Throughout the given question, in the sample of 897 suspected offenders were identified, 322 have also been convicted. So, the estimate of the population of individuals caught and been on the ten most attractive lists is then estimated:

\(\to \frac{322}{897} = 0.3589743.. \approx 0.359\)

Answer:

Step-by-step explanation:

This is a central angel so the degree of the angle is equal to the degree of the arc which is 111.

X+114=111

add negative -114 to each side to get X alone.

-114+X+114= 111+-114

X=-3 .   Answer negative 3

The number of tens between the given numbers are 1883.

The number of tens between two numbers can be calculated by the concept of proportions. A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem. Now, to find the number of tens we divide the number by 10. So, the number of tens in the given numbers are

9312/10 = 931 (approximately)

9522/10 = 952 (approximately).

Now, the numbers of tens between the two given numbers can be calculated by adding the number of tens in them that is,

952 + 931 = 1883 tens between the two numbers.

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The Propositions are resulting

(a) ∀x∃y(x = y²) is False

(b) ∀x∃y(x² = y) is True.

(c) ∃x∀y(xy = 0) is True.

(d) ∀x∃y(x + y = 1) is True.

(a) ∀x∃y(x = y²)

This proposition states that for every x, there exists a y such that x is equal to y². To determine the truth value, we need to check if this statement holds true for every value of x.

If we take any positive value for x, we can find a corresponding value of y that satisfies the equation.

For example, if x = 4, then y = 2 satisfies the equation since 4 = 2². Similarly, if x = 9, then y = 3 satisfies the equation since 9 = 3².

Therefore, the proposition (a) is false.

(b) ∀x∃y(x² = y)

For any given positive or negative value of x, we can find a corresponding value of y that satisfies the equation.

For example, if x = 4, then y = 2 satisfies the equation since 4² = 2. Similarly, if x = -4, then y = -2 satisfies the equation since (-4)² = -2.

Therefore, the proposition (b) is true.

(c) ∃x∀y(xy = 0)

The equation xy = 0 can only be satisfied if x = 0, regardless of the value of y. Therefore, there exists an x (x = 0) that makes the equation true for every y.

Therefore, the proposition (c) is true.

(d) ∀x∃y(x + y = 1)

To determine the truth value, we need to check if this statement holds true for every value of x.

If we take any value of x, we can find a corresponding value of y that satisfies the equation.

For example, if x = 2, then y = -1 satisfies the equation since 2 + (-1) = 1. Similarly, if x = 0, then y = 1 satisfies the equation since 0 + 1 = 1.

Therefore, the proposition (d) is true.

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