Is the equation a true statement when x = -3? In other words, is -3 a solution to theequation?6x + 5 = 5x + 8 + 2xA. Yes, -3 is a solution to the equation.B. No, -3 is not a solution to the equation.

Answer:

B.

Step-by-step explanation:

Since there in one congruent angle inbetween two congruent sides, you would use SAS to prove these triangles are congruent. this is because side, angle, side=SAS. answer D also uses SAS but puts the vertices in the wrong order so it is incorrect.

hopw this helps :)

The dimensions of the enclosure that is most economical to construct are 10 feet by 31 feet.

To find the most economical dimensions, we need to minimize the cost of the fence. Let the length of the rectangle be L and the width be W. We know that the area of the rectangle is 310 square feet, so L * W = 310.

We also know that the cost of the fence is given by:

Cost = 5L + 5W + 15L

= 20L + 5W

= 20L + 5(310/L)

We can now differentiate this expression with respect to L to find the value of L that minimizes the cost:

\(d(Cost)/dL = 20 - 1550/L^2\)

Setting this to zero, we get:

\(20 - 1550/L^2 = 0\)

\(L^2 = 77.5\)

\(L = \sqrt{77.5} = 8.8\) (rounded to one decimal place)

Substituting this value of L into L * W = 310, we get:

W = 310/L = 35.2/4 = 8.8 * 3.99 (rounded to two decimal places)

Therefore, the dimensions of the enclosure that is most economical to construct are 10 feet by 31 feet.

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Answer:

1/2 (rise over rin)

Step-by-step explanation:

Answer:

This is a positive slope.

Step-by-step explanation:

The line goes uphill from left to right.

The exterior angle of the given triangle is X. The value of the angle X is 55°.

Triangle -

A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes.

types of triangle

The exterior angle of a triangle is equal to the sum of two interior opposite angles.

X = 21° + 34°

X = 55°

The exterior angle of the given triangle is X. The value of the angle X is 55°.

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Between 48% and 54% believe that their health is extremely important.

According to the statement

Given that a random sample of 1001 Americans aged 18-24 years showed that 51% believe their health is extremely important.

Here

Sample size n =1001

sample proportion p = 0.51

By these values we calculate the Standard error of proportion.

So, Standard error of proportion = 0.0158.

Since sample size is sufficiently large we can take Z critical value for confidence interval

Z critical value for 95% = 1.96

Margin of error = ±1.96*std error

= ±0.0310

confidence interval = 0.51 ±0.0310

= (0.48, 0.54)

So, Between 48% and 54% believe that their health is extremely important.

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Answer:

2.3333333333333333333333333333333 sec

Answer:

Step-by-step explanation:

Explanation

Verified

Step 1

Beth and Mark would like to put some savings in the bank. They most likely will not need this money for 4 years, so Beth wants to put it in a 4-year CD. Mark wants to put the money in a savings account. What is the advantage of a CD? What is the disadvantage.

Step

The disadvantage of Cd are that Cd has a penalties if money is withdrawn before maturity, and the advantage of CD is that Cd have higest interest rate.

Answer:

Quite often, the CD will earn more interest—even if you have to pay a penalty for early withdrawal.

_____

For example, my local credit union offers 0.10% interest on passbook savings and 1.46% interest on a 4-year CD. One of my local banks offers 0.01% interest on passbook savings, and 0.60% on a 4-year CD.

Step-by-step explanation:

Answer:

y=2x+45

Step-by-step explanation:

goes up 2 y per x and intersects y axle at 45

Answer:

i think it's the answer in the pic I have send you okk see and mark me brainliest answer okk thanks

Answer:

slope = \(\frac{6}{7}\)

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (1, 2) and (x₂, y₂ ) = (8, 8)

m = \(\frac{8-2}{8-1}\) = \(\frac{6}{7}\)

If the subset y is the empty set, then the statement is false. That is the counterexample.

We know that for an invertible function, we always have that:

\(f(x) = y\\f^{-1}(y) = x\)

Now, the range of f(x) is the set b. This means that the domain of the inverse is the set b. Such that:

f^{-1} is defined on b→a

Now we want to work on a subset y ⊆ b.

And here comes the problem.

The empty set {∅} is a subset of ay other set. So, if y is the empty set, there are no elements where we can evaluate the inverse function. From that counterexample, we conclude that the statement is false.

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The unit step response, y(t), for the given LTI system with transfer function H(s) = (s+4)(s+5)′(s+2), and input X(s) = 1/s, is a function of time that can be represented as \(y(t) = (4/3)e^(-2t) - (4/3)e^(-5t) - (1/3)e^(-4t) + (1/3)e^(-2t)\).

The unit step response of a linear time-invariant (LTI) system represents the output of the system when the input is a unit step function. In this case, the transfer function H(s) is given as (s+4)(s+5)′(s+2), where s is the Laplace variable. The prime symbol (') denotes differentiation with respect to s.

To find the unit step response, we first need to determine the inverse Laplace transform of the transfer function H(s). By applying partial fraction decomposition, the transfer function can be expressed as H(s) = A/s + B/(s+2) + C/(s+4) + D/(s+5), where A, B, C, and D are constants.

Taking the inverse Laplace transform of each term using known transforms, we obtain the time-domain representation of H(s) as \(y(t) = (4/3)e^(-2t) - (4/3)e^(-5t) - (1/3)e^(-4t) + (1/3)e^(-2t)\).

In summary, the unit step response y(t) for the given LTI system is a function of time that includes exponential terms with different coefficients and time constants. This response represents the system's output when the input is a unit step function.

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Answer:

63.62

Step-by-step explanation:

Answer:

I believe w=11

Step-by-step explanation:

10 x w = 10w 10 x 9= 90 subtract 90 from both sides and you get 10w<-110 then divide both sides by 10 and you get w=11

Answer:

20 containers

Step-by-step explanation:

5L =  5000ml

so,

5000/250 = 20 containers

I hope my answer helps you.

fill 5L tank using 250 ml container .

how many full containers are required to fill the tank.

1 L= 1000 mL

1000 mL/250mL = 4

1 L= 4 full containers

4 containers x 5 liters = 20 full containers.

so, 20 full containers are required to fill the fish tank.

Answer:

corresponding angles, alternate exterior angles

Step-by-step explanation:

when you have to parallel lines cut be a transversal, you get different pairs of angles that are either equal or supplementary (add to 180).

For example, corresponding angles are congruent, and alternate exterior angles are congruent.

Given:

The expression is

\((1-2g+4h)\cdot 5\)

To find:

The equivalent expression.

Solution:

Distributive property of multiplication over addition is

\(a(b+c)=ab+ac\)

Where, a, b and c are real numbers.

We have,

\((1-2g+4h)\cdot 5\)

Using distributive property, we get

\(=(1)\cdot 5+(-2g)\cdot 5+(4h)\cdot 5\)

\(=5-10g+20h\)

Therefore, the expression \(5-10g+20h\) is equivalent to the given expression.

Answer:

5-10g+20h

Step-by-step

Please give Brainliest :)

Answer:

srgsghsgsg

Step-by-step explanation:

Answer:

we have 30 60 90 triangle

90 meet 2x

30 meet x

60 meet x√3

so AC= 2×7.7 which means its equal to 15.4

Answer:

\(AC=15.4\)

Step-by-step explanation:

In relation to the angle \(\theta\), we are given the triangle's opposite side and hypotenuse. Therefore, we need to use the sine function to determine the hypotenuse:

\(sin\theta=\frac{opposite}{hypotenuse}\)

\(sin30^\circ=\frac{7.7}{h}\)

\(hsin30^\circ=7.7\)

\(h=\frac{7.7}{sin30^\circ}\)

\(h=15.4\)

Alternatively, since this is a 30-60-90 triangle, you can just multiply the opposite side by 2 to get the hypotenuse. Therefore, \(h=7.7*2=15.4\) as well.

Answer:

To find the probability of a randomly selected point falling into the red-shaded triangle within the circle, compare the area of the triangle to the total area of the circle.

Step-by-step explanation:

Answer:

B,because it says he wants to have

Answer:

3. (3,-4)

Step-by-step explanation:

Answer:

Jamie put 5 and 3 together, when she should of done multiplication instead.

Step-by-step explanation:

The correct answer is 17.

Hope it helps!

The mean of X - X2 is 19. This represents the difference between the means of two populations. It indicates that, on average, X is 19 units higher than X2.

To find the mean of X - X2, we need to subtract the means of the two populations. Given that the mean of the first population is 47 and the mean of the second population is 28, we have:

Mean of X - X2 = Mean of X - Mean of X2 = 47 - 28 = 19.

Therefore, the mean of X - X2 is 19.

In this context, X represents the variable for one population and X2 represents the variable for the other population. By subtracting the means, we are calculating the difference between the two variables.

It's worth noting that the standard deviations of the populations are not required to calculate the mean of X - X2 in this case. Only the means are necessary.

To summarize, when comparing the two populations, the mean difference between X and X2 is 19.

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Answer:

1/8+1 OR 1/8 +8/8

2/8+7/8 OR 1/4+7/8

3/8+6/8 OR 3/8+3/4

The fraction 9 / 8 can also be written as [1/8 + 8/8] , [2/8 + 7/8] , [3/8 + 6/8]

What is a fraction?

A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator.

Given data ,

The number = 9 / 8

The number can be written as the sum of two different fractions as

a) 1/8 + 8/8 = (1+8)/8

                  = 9/8

b) 2/8 + 7/8 = (2+7)/8

                   = 9/8

c) 3/8 + 6/8 = (3+6)/8

                   = 9/8

Hence ,

The fraction 9 / 8 can also be written as [1/8 + 8/8] , [2/8 + 7/8] , [3/8 + 6/8]

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Answer:

n=5

Step-by-step explanation:

50 divided by 10 = 5

Answer:

n=5

Step-by-step explanation:

To figure out n we must divide 50 and 10.

50 ÷ 10 = 5

So n=5

Answer:

y = mx + b

Step-by-step explanation:

so you first put the points on the graph and connect them with a slanted line.

Next, for your equation start of with y =

then, your going to find your slope, after you find it put it in front of x (slope x) (Ex; if the slope was 3 then it would look like this 3x)

finally you write + and the y intercept (at which point the line goes through the y axis)

the equation together should look like y = slope x + y intercept

Based on the given informations, the change in y as t changes from 1 to 6 is approximately 3.870. Therefore the correct option is (A).

To find the change in y as t changes from 1 to 6, we need to integrate the given function with respect to t over the interval [1, 6] and then find the difference between the values of the integral at the two endpoints.

∫₁⁶ 6e\(.^{(-0.08(t-5)^2)}\)  dt

We can use the substitution u = t - 5 to simplify the integral:

∫₋₄¹ 6e\(.^{(-0.08u^2)}\)  du

Unfortunately, there is no closed-form solution for this integral. We can use numerical integration methods, such as Simpson's rule or the trapezoidal rule, to approximate the integral. Using Simpson's rule with a step size of 1, we get:

∫₋₄¹ 6e\(.^{(-0.08u^2)}\) du ≈ 3.870

Therefore, the change in y as t changes from 1 to 6 is approximately 3.870, which corresponds to option (A).

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