True or False: If two figures are congruent then there is only one way to
transform the first figure to coincide with the second figure.

The point  (-2,3) is not a solution of the graphed inequality

Given the graph and the point (-2, 3)

To find the solution of a graphed inequality, you need to follow these steps:

The point (-2, 3) falls in the unshaded region

Hence, it is not a solution

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Answer:

Yes it is i tried no and it was wrong

Step-by-step explanation:

The corrrect statements about angle are:

Please refer to the attached picture below for visualization of the angles.

Based on the attached picture, we can consider the relationship of each angle, such as:

Alternate interior angles and congruent:

Angle 4 and angle 5

Angle 3 and angle 6

Alternate exterior angles and congruent:

Angle 1 and angle 8

Angle 2 and angle 7

Consecutive interior angles and supplementary:

Angle 3 and angle 5

Angle 4 and angle 6

Corresponding angles and congruent:

Angle 1 and angle 5

Angle 2 and angle 6

Angle 3 and angle 7

Angle 4 and angle 8

Vertical angles and congruent:

Angle 1 and angle 4

Angle 2 and angle 3

Angle 5 and angle 8

Angle 6 and angle 7

Supplementary angles:

Angle 1 and angle 2

Angle 3 and angle 4

Angle 5 and angle 6

Angle 7 and angle 8

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Answer:

I Think D.

Step-by-step explanation:

\(\textit{exponential form of a logarithm} \\\\ \log_a(b)=y \qquad \implies \qquad a^y= b \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \ln(s)~~ = ~~t\implies \log_e(s)~~ = ~~t\implies e^t~~ = ~~ s\)

Wxndy~~

Answer:

C)  (-1, -4) and (4, 6)

Step-by-step explanation:

\(\textsf{Equation 1}:y=2x-2\)

\(\textsf{Equation 2}:y=x^2-x-6\)

Substitute Equation 1 into Equation 2 and solve for x:

\(\implies 2x-2=x^2-x-6\)

\(\implies x^2-3x-4=0\)

Find two numbers that multiply to -4 and sum to -3:  -4 and 1

Rewrite the middle term as the sum of these two numbers:

\(\implies x^2-4x+x-4=0\)

Factorize the first two terms and the last two terms separately:

\(\implies x(x-4)+1(x-4)=0\)

Factor out the common term \((x-4)\):

\(\implies (x+1)(x-4)=0\)

\(\implies (x+1)=0 \implies x=-1\)

\(\implies (x-4)=0 \implies x=4\)

Substitute the found values of x into Equation 1 and solve for y:

\(x=-1 \implies y=2(-1)-2=-4\)

\(x=4 \implies y=2(4)-2=6\)

Therefore, the solution to the system of equations is:

(-1, -4) and (4, 6)

In a one-tail hypothesis test where you reject only in the upper tail, 1.753 is the critical value of the t-test statistic with degrees of freedom at the level of significance.

The upper critical value in a one-tail hypothesis test where you only reject in the upper tail corresponds to the t-test statistic with degrees of freedom at the level of significance. The difference between the region where the null hypothesis is accepted and the region where it is rejected is indicated by this value.

One must utilise the subsequent step-by-step procedure to determine the upper critical value of the t-test statistic with degrees of freedom at the level of significance:

Determine the degrees of freedom and the significance level (df).

Find up the t-test statistic's critical value from a t-table together with the relevant degrees of freedom at the level of significance.

The value shown in the t-table is the highest critical value of the t-test statistic with the matching degrees of freedom at the level of significance.

The upper critical value of the t-test statistic with the appropriate degrees of freedom at the level of significance, for instance, is 1.753 if the level of significance is 0.05 and the degrees of freedom are 15.

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a) AC = 10Q² + 10Q + 10 / Q

b)  Q = 2 is the point where AC is minimized.

c) AC = 50

d) The profit maximizing level of output is Q = 6.

Given the following cost function, TC = 10Q² + 10Q + 10And the demand function is, P = 190 - 5Q

a) MC stands for Marginal cost which is the cost of producing one more unit of the output.

To find the MC, we need to differentiate the cost function with respect to Q, i.e., TC = 10Q² + 10Q + 10dTC/dQ = 20Q + 10MC = 20Q + 10

Also, AC stands for Average cost which is the cost per unit of output. AC is calculated as follows:

AC = TC / Q

Substituting the value of TC in terms of Q, we get:

AC = 10Q² + 10Q + 10 / Q

b) To find where the AC is minimized, we need to differentiate the AC function with respect to Q and equate it to zero. d(AC)/dQ = 20Q - 10Q² / Q² = 0

Solving for Q, we get:

Q = 0 or 2Since the firm produces output, Q = 0 is not the answer.

Hence, Q = 2 is the point where AC is minimized.

c) Substituting Q = 2 in the AC function, we get:

AC = 10(2)² + 10(2) + 10 / 2 = 50

d) Profit maximizing level of output is where MR = MC. And, MR is calculated as follows:

MR = dTR / dQ = P * dQ / dQ = P

Substituting the value of P in terms of Q, we get:

MR = 190 - 5Q

Profit maximizing level of output is where MR = MC.190 - 5Q = 20Q + 10

Solving for Q, we get: Q = 6

The profit maximizing level of output is Q = 6.

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Neva is hungry and she buys a snack from the concession stand event is independent.

It is a branch of mathematics that deals with the occurrence of a random event.

Two events are independent if the occurrence of one event does not affect the probability of the other event occurring.

Based on this definition, the scenario that depicts two independent events is Neva is hungry and she buys a snack from the concession stand.

The fact that Neva is hungry and decides to buy a snack from the concession stand is not affected by any other event.

The occurrence of one event (Neva buying a snack) does not affect the probability of the other event occurring.

Therefore, the Neva is hungry and she buys a snack from the concession stand. event is independent.

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The weight of the astronaut with gear on the moon is 80 pounds.

The pull of gravity is different on Earth than on the Moon as gravity depends on factors such as the mass of the celestial body, the radius of the celestial body, and the density of the celestial body.

The pull of gravity on Earth = 10 m/s²

Thus, Given:

Weight of object on Earth: 25 pounds

Weight is described as the product of mass and the acceleration due to gravity

Thus, 25 = 10 * mass

mass = 2.5 unit

Weight of the object on the Moon: 4 pounds

4 = 2.5 * acceleration due to gravity on the moon

Acceleration due to gravity on the moon = 1.6 m/s²

Weight of astronaut with gear on earth = 500 pounds

500 = mass * 10

mass = 50 units

Weight of astronaut with gear on earth = 50 * 1.6

= 80 pounds

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Answer:

D.

Step-by-step explanation:

\(y = 3x \\ \frac{y}{3} = x \\ \\ \frac{3y}{3} + 2y = 45 \\ y + 2y = 45 \\ 3y = 45 \\ y = \frac{45}{3} \\ y = 15 \\ \\ x = \frac{y}{3} \\ = \frac{15}{3} \\ = 5\)

Two steps that will complete the list correctly are:

4. The original measurement should be multiplied by the conversion factors.

5. Verify that it makes sense.

A conversion factor can be used to switch from one set of units to another by multiplying or dividing a number. When a conversion is necessary, the appropriate conversion factor to an equivalent value must be applied.

Let's use an example of converting from inches to centimeters to address this query.

10 inches should be converted to cm.

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Answer:

$26

Step-by-step explanation:

To find your answer, simply plug in Francesca's time and Phil's time to your cost equation.

Francesca can be represented by the following equation:

c=6.5(2)\\c=13

Phil can be represented by the following equation:

c=6.5(6)\\c=39

As such, Francesca pays $13 and Phil pays $39. Next, since you want to find how much more Phil paid, all you have to do is subtract 13 from 39. That will give you $26

Answer:

Phil is paying 3 times what Francesca payed.

Step-by-step explanation:

Since Phil rented the bike for 6 hours, and Francesca rented a bike for 2 hours, and 6 is 3 times 2. (3x2=6)

Hope this helps!

Answer:

n (w)=143

n(r)=1135

n (both)=70

Step-by-step explanation:

n(w only )=143-70

=73

n (r only)=1135-70

=1065

number of people who use at least one type of toothpaste =73+1065

=1138

1) An equation that gives the total cost in dollars, d, of attending the event if you order z ounces of fro-yo is d = $5 + $0.40z

2) 2. If your cup weighs 14 ounces, you would pay $10.6 in total for the evening.

A mathematical equation is a statement that two amounts or values are equal, such as 6 x 4 = 12 x 2. 2. A noun that counts.

Given,

The school jazz band is playing at Sweet Yo's, a frozen yogurt shop. It costs $5 to get in the door for the event and if you'd like to eat fro-yo to eat while listening to their tunes you can fill your cup with yogurt and toppings for $0.40 per ounce.

1) Total cost = d

Total ounces = z

Equation

d = $5 + $0.40z

2) If cup weighs 14 ounces

d = $5 + 0.40(14)

d = $5 + $5.6

Total cost:

d = $10.6

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An equation that shows the relationship between the two angle measure is 3x + 2 = 180 and the value of x is 59.

Let us consider the two supplementary angles with measures (x + 1) and (2x + 1). Since they are supplementary angles, we know that their sum is equal to 180 degrees. We can write this relationship between the two angle measures as an equation:

(x + 1) + (2x + 1) = 180

Simplifying this equation, we get:

3x + 2 = 180

Now, we can solve for x by isolating it on one side of the equation. To do this, we can subtract 2 from both sides of the equation:

3x = 178

Finally, we can solve for x by dividing both sides of the equation by 3:

x = 59.33

Therefore, we should round the value of x to the nearest whole number, which is 59.

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Answer:

Pvalue = 0.063008

Step-by-step explanation:

Given :

Sample size, n = 63

The test statistic = - 1.53

To test if average room price is significantly different from $110 ; μ = $110

H0 : μ = 110

H1 : μ < 110

From the test statistic value obtained, we could see that the test is left tailed

The Pvalue :

P(Z < - 1.53) = 0.063008

If the claim is to be tested at 5% level of confidence then

Pvalue > 0.05 ; Hence, we fail to reject the. NULL. Hence, average price is not significantly different from $110

The measure of angle COA is 160 degrees. (option c)

In triangle ACO, we know that AC and CO are equal because they are radii of the same circle. Therefore, angle ACO and angle CAO must be equal.

We also know that the sum of the angles in a triangle is always 180 degrees, so we can write:

angle ACO + angle CAO + angle COA = 180 degrees

We can substitute angle ACO for angle CAO because they are equal, giving us:

2(angle ACO) + angle COA = 180 degrees

Solving for angle ACO, we get:

2(angle ACO) = 180 degrees - angle COA

angle ACO = (180 degrees - angle COA)/2

Now we can substitute this expression for angle ACO into our earlier equation for angle COA:

angle COA = angle AOC + angle ACO

angle COA = 80 degrees + [(180 degrees - angle COA)/2]

We can simplify this equation by multiplying both sides by 2:

2(angle COA) = 160 degrees + (180 degrees - angle COA)

Distributing the 2 on the left side, we get:

2angle COA = 160 degrees + 180 degrees - angle COA

Combining like terms, we get:

3angle COA = 480 degrees

Dividing both sides by 3, we get:

angle COA = 160 degrees (rounded to two decimal places)

Hence the correct option is (c).

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The smallest possible inside length of the cubical steel tank that can hold 275 liters of water is approximately 0.640 meters.

The side length of the cube is found by converting the volume of water from liters to cubic meters, as the unit of measurement for the side length is meters.

Given that the volume of water is 275 liters, we convert it to cubic meters by dividing it by 1000 (1 cubic meter = 1000 liters):

275 liters / 1000 = 0.275 cubic meters

Since a cube has equal side lengths, we find the side length by taking the cube root of the volume. In this case, we find the cube root of 0.275 cubic meters:

∛(0.275) ≈ 0.640

Rounded to the nearest 0.001 meters, the smallest possible inside length of the tank is approximately 0.640 meters.

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Answer:

4/5 as a percentage is 80%

if you want to write 4 and 5 as a percentage . . .

You can't do that

The correct answer of this expression is (b) g>-6.

A finite combination of symbols that are well-formed in accordance with context-dependent principles is referred to as an expression or mathematical expression. Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

a formula expression with the first part signifying a mathematical item and the second part signifying a statement about mathematical objects

given that;

-3 (g + 5) > 3

divide both side by -3, we get

⇒ g + 5 > 3/-3

⇒ g + 5 > -1

subtract both side by 5

⇒ g > -1 -5

⇒ g > -6

so the correct answer is g > -6

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The rate at which the diameter decreases when the diameter is 10 cm is -0.00798 cm/min.

To find the rate at which the diameter decreases, we can use the relationship between the surface area and the diameter of a sphere.

The surface area of a sphere is given by the formula:

A = \(4\pi r^2\), where A is the surface area and r is the radius (which is half the diameter).

Differentiating both sides of the equation with respect to time t, we get:

dA/dt = 8πr(dr/dt).

We are given that the surface area decreases at a rate of \(1 cm^2/min\), so dA/dt = \(-1 cm^2/min\). We want to find dr/dt when the diameter is 10 cm, which means the radius is r = 10/2 = 5 cm.

Substituting these values into the equation, we have:

-1 = 8π(5)(dr/dt).

Simplifying, we get:

-1 = 40π(dr/dt).

Now, solving for dr/dt:

dr/dt = -1 / (40π).

Using a calculator, this evaluates to approximately -0.00798 cm/min.

Therefore, when the diameter is 10 cm, the rate at which the diameter decreases is approximately -0.00798 cm/min. Note that the negative sign indicates the decrease in diameter.

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Answer:

Step-by-step explanation:

\(y^2+6y+8x+1=0\\\\y^2+2*3y+9+8x+1-9=0\\(y+3)^2+8x-8=0\\8x=-(y+3)^2+8\\\\x=-\dfrac{(y+3)^2}{8}+1 \\Vertex=(1,-3)\)

The vertex is (1,-3).

To find the the vertex of the parabola.

A symmetrical open plane curve formed by the intersection of a cone with a plane parallel to its side.,

Given that:

\(y^{2} +6y+8x+1=0\\\\y^{2} +2*3y+8x+1+9-9=0\\\\(y+3)^{2}+8x-8=0\\\\8x=-(y+3)^{2}+8\\\\x=-\frac{(y+3)^{2}}{8} +1\\\\vertex=(1,-3)\\\)

So, the vertex is (1,-3).

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Answer:

1 liter

Step-by-step explanation:

hope this helps!

Answer:

Step 1: Divide both sides by 2

Step 2: Subtract both sides by 3

Step-by-step explanation:

Step 1: 2(x + 3) = 14

Step 2: x + 3 = 7

x = 4

The probability density function (PDF) for a Poisson process with a mean of 25 log-ons per hour is f(x) = ( \(e^{(-λ)}\) * \(λ^x\)) / x!.

In a Poisson process, the probability of observing a certain number of events within a given interval follows a Poisson distribution. The PDF of a Poisson distribution is given by the formula f(x) = (\(e^{(-λ)}\) * \(λ^x\)) / x!, where \(λ\)represents the average rate of events.

For the given scenario, the mean rate of log-ons is 25 per hour. Therefore, we can substitute \(λ\) = 25 into the PDF formula to obtain f(x) =   (\(e^{(-25)\) * \(25^x\)) / x!. To derive the probability cumulative function (CDF), we need to sum up the probabilities of observing x or fewer events.

The CDF at a given value x is denoted as F(x). It is calculated by summing the PDF values from 0 to x: F(x) = Σ[f(i)] for i = 0 to x. By applying this process, we can derive the probability cumulative function for the given Poisson process with a mean of 25 log-ons per hour.

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Approximately 99.7% of employees in the company earn between $5.40 and $24.60 per hour.

To find the interval within which 99.7% of employees' salaries fall, we can use the properties of the normal distribution.

Given:

Mean (μ) = $15.00 per hour

Standard deviation (σ) = $3.20

In a normal distribution, approximately 99.7% of the data falls within three standard deviations of the mean. So, we can calculate the interval as follows:

Lower bound = μ - 3σ

Upper bound = μ + 3σ

Lower bound = $15.00 - 3 * $3.20

= $15.00 - $9.60

= $5.40

Upper bound = $15.00 + 3 * $3.20

= $15.00 + $9.60

= $24.60

Therefore, approximately 99.7% of employees in the company earn between $5.40 and $24.60 per hour.

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Answer:

\(V_{cone} =65.94\: cm^3\)

Step-by-step explanation: