You are paid $82.50 for 712 1 2 hours of work. What is your rate of pay?

Answer:

x=-45

Step-by-step explanation:

multipy both sides by 9 so on the left you have x and on the right you have -45 so x=-45

Answer:

Step-by-step explanation:

1. Find the mean

94 + 69+74+96 = 333

Divide 333 by 4 = 83.25

Subtract 83.35 from 88

Answer : 4.75

Now follow the next steps

Answer:

>\/<

\(10\)

>/\<

- remember that the midline is always half of the sum of the other two legs.

here,

UX is the midline,

ST is the leg,

VW is the other leg.

so,

ST + VW = 2UX

now plug in,

25 + VW = 2(35)

25 + VW = 70

VW = 45

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Answer:

x=0

Step-by-step explanation:

4(x+1)=2x+4

Distribute

4x+4 = 2x+4

Subtract 4 from each side

4x+4-4 = 2x+4-4

4x= 2x

Subtract 2x from each side

4x-2x = 2x-2x

2x=0

Divide by 2

x =0

Answer:

x = 0

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

4(x + 1) = 2x + 4

Step 2: Solve for x

the rate of change of the radius at the instant the volume equals 36π cm³ is 7 / (36π) cm/sec.

The volume V of a sphere with radius r is given by the formula V = (4/3)πr³. We are given that the rate of change of the volume is 7 cm³/sec. Differentiating the volume formula with respect to time, we get dV/dt =(4/3)π(3r²)(dr/dt), where dr/dt represents the rate of change of the radius with respect to time.

We are looking for the rate of change of the radius, dr/dt, when the volume equals 36π cm³. Substituting the values into the equation, we have: 7 = (4/3)π(3r²)(dr/dt)

7 = 4πr²(dr/dt) To find dr/dt, we rearrange the equation: (dr/dt) = 7 / (4πr²) Now, we can substitute the volume V = 36π cm³ and solve for the radius r: 36π = (4/3)πr³

36 = (4/3)r³

27 = r³

r = 3  Substituting r = 3 into the equation for dr/dt, we get: (dr/dt) = 7 / (4π(3)²)

(dr/dt) = 7 / (4π(9))

(dr/dt) = 7 / (36π)

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The given statements are not logically consistent.

(~PV~Q) (~RV~S), (PDT), (~WD (~T·~Z)), (~SUZ): ~(X Y), (~Wv (XY)) .. (~R~W)

The given statements, (~PV~Q) (~RV~S), (PDT), (~WD (~T·~Z)), (~SUZ): ~(X Y), (~Wv (XY)) .. (~R~W), are not logically consistent. The given premises do not lead to a valid conclusion. There is a contradiction between the premises and the conclusion, which indicates that the argument is unsound.

In formal logic, consistency refers to the property of a set of statements or premises that do not contradict each other. A set of statements is consistent if it is possible for all the statements to be true at the same time. In this case, the given statements are not logically consistent, meaning that there is a contradiction within the premises and the conclusion.

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In the real world, the zeros interpreted in Quadratic function, height of an object and business  and vertex interpreted in manufacturing and physics

Zeros (Roots or X-Intercepts):

Zeros of a quadratic function represent the points where the graph intersects the x-axis. In real-world applications, the zeros of a quadratic function often have meaningful interpretations. For example:

If the quadratic function represents the height of an object thrown into the air as a function of time, the zeros represent the points in time when the object hits the ground.

In business or finance, the zeros can represent the solutions to problems involving revenue, cost, or profit, such as finding the break-even points or the points where profit becomes zero.

Vertex:

The vertex of a quadratic function represents the highest or lowest point on the graph, depending on whether the parabola opens upward or downward. The vertex is also known as the maximum or minimum point. In real-world applications, the vertex of a quadratic function can have various interpretations:

If the quadratic function represents the trajectory of a projectile, the vertex represents the highest point reached by the object.

In manufacturing or production processes, the vertex can represent the optimal value that maximizes or minimizes a certain output, such as maximizing profit or minimizing cost.

In physics, the vertex can represent the equilibrium point or the stable state of a system.

Overall, the zeros and the vertex of a quadratic function provide insights into key features and solutions in real-world scenarios. They allow us to understand critical points, make predictions, optimize processes, and solve various problems across different fields of study and applications.

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Answer: A

Step-by-step explanation:2020 edg

Answer: the answer is A

Step-by-step explanation:

just did it on edge

Answer: 420 sprouted plants

Step-by-step explanation:

First find the total number of tomato plants in the farm.

= Number of rows * No. of plants per row

= 45 * 14

= 630 plants

2/3 of them have sprouted so the number of sprouted plants is:

= 2/3 * 630

= 420 sprouted plants

The company's claim can be evaluated using a hypothesis test. The null hypothesis, denoted as H0, assumes that the true proportion of chips that do not fail in the first 1000 hours is 55% or lower.

Ha stands for the alternative hypothesis, which assumes that the real proportion is higher than 55%. This test has a significance level of 0.01.

A sample of 800 chips was taken based on the information provided, and it was discovered that 60% of them do not fail in the first 1000 hours. A one-sample percentage test can be used to verify the assertion.  The test statistic for this test is the z-score, which is calculated as:

\(\[ z = \frac{{p - p_0}}{{\sqrt{\frac{{p_0(1-p_0)}}{n}}}} \]\)

If n is the sample size, p0 is the null hypothesis' assumed proportion, and p is the sample proportion.

If we substitute the values, we get:

\(\[ z = \frac{{0.6 - 0.55}}{{\sqrt{\frac{{0.55(1-0.55)}}{800}}}} \]\)

The z-score for this assertion is calculated, and we find that it is approximately 2.86.

In order to determine whether there is sufficient data to support the company's claim, we compare the computed z-score with the essential value. At a significance level of 0.01 the critical value for a one-tailed test is approximately 2.33.

Because the estimated z-score (2.86) is larger than the determining value (2.33), we reject the null hypothesis. Therefore, the company's assertion that more than 55% of the chips do not fail in the first 1000 hours of use is supported by sufficient data at the 0.01 level.

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Answer:

Step-by-step explanation:

5.

\(y-9=3(x-1)\\y -9 =3x-3\\y= 3x-3+9\\y = 3x+6\\\\Slope-intercept form = y=mx+b\\\\y = 3x+6\)

Answer:

3. C

Step-by-step explanation:

Point slope form shows you the slope and point on the graph, NOT Y INTERCEPT

Hope this helps

As always comment if i made a mistake here

In this scenario, we are considering an investment that will pay $3,000 in 34 years. We are given an appropriate discount rate of 8 percent. To determine the present value of this investment, we can use the present value formula. Additionally, we are provided with the information that the investment is being sold for $773, and we need to calculate the rate of return investors will earn on this investment.

a. Present value of the investment:

To calculate the present value of the investment, we use the present value formula:

Present Value = Future Value / (1 + Discount Rate)^n,

where Future Value is $3,000, the Discount Rate is 8 percent (0.08), and n is the number of years, which is 34 in this case.

Present Value = $3,000 / (1 + 0.08)^34 = $219.13

Therefore, the present value of the investment, considering an 8 percent discount rate, is $219.13.

b. Rate of return on the investment:

The rate of return on an investment is calculated using the formula:

Rate of Return = (Future Value - Purchase Price) / Purchase Price * 100,

where Future Value is $3,000 and the Purchase Price is $773.

Rate of Return = ($3,000 - $773) / $773 * 100 ≈ 288.46%

Therefore, the rate of return investors can earn on this investment, if they buy it for $773, is approximately 288.46%.

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Answer:

1) By Pythagoras theorem

16² = x² + (√65)²

256 = x² + 65

x² = 256-65

x² = 191

x=√191

x=13.82 or 13.8 ft

2) 15²=x²+10²

225=x²+100

x²=225-100

x²=125

x=√125

x=11.18 or 11.2km

3) 12.36 or 12.4 cm

4) 8.36 or 8.4 mi

The volume common to two spheres, each with radius r, if the distance between their centres is r/2 is V = (11/12)×π×r³.

The attached diagram shows 2 circumferences with radius r and separated centres by r/2.

Let´s call circumferences  1 and 2; by symmetry, rotating area A will produce a volume V₁ identical to a V₂, Obtained by rotating area B ( both around the x-axis), then the whole volume V will be:

V = 2× V₁

V₁ = ∫π×y²×dx         (1)

Now

( x - r/2)²  +  y² = r²       the equation of circumference 1

y² = r² - ( x - r/2)²

Plugging this value in equation (1)

V₁ = ∫π×[  r² - ( x - r/2)²]×dx        with integrations limits    0 ≤ x ≤ r/2

V₁ = π×∫ ( r² - x² + (r/2)² - r×x )×dx

V₁ = π× [  r²×x - x³/3 + (r/2)²×x - (1/2) × r × x²]    evaluate between 0 and r/2

V₁ = π× [(5/4)×r²×x - x³/3 - (1/2) × r × x²]

V₁ =  π× [(5/4)×r² × ( r/2 - 0 ) - (1/3)×(r/2)³ -  (1/2) × r × (r/2)²]

V₁ =  π× [ (5/8)×r³ - r³/24 - r³/8]

V₁ =  π× (11/24)×r³

Then

V = 2× V₁

V = 2×π×11/24)×r³

V = (11/12)×π×r³

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The x and y components of the resultant force are

Fr_x = 800 * cos(35º) + 600 * cos(25º) + 850 * (5/13),

Fr_y = 800 * sin(35º) + 600 * sin(25º) + 850 * (12/13)

To find the x and y components of the resultant force, we can use the given magnitudes and angles of the forces.

The x-component of the resultant force (Fr_x) can be calculated by summing the x-components of the individual forces:

Fr_x = Fa_x + Fb_x + Fc_x

Fa_x = Fa * cos(θa) = 800 lbs * cos(35º)

Fb_x = Fb * cos(θb) = 600 lbs * cos(25º)

Fc_x = Fc * (x/h) = 850 lbs * (5/13)

Fr_x = 800 * cos(35º) + 600 * cos(25º) + 850 * (5/13)

Similarly, the y-component of the resultant force (Fr_y) can be calculated by summing the y-components of the individual forces:

Fr_y = Fa_y + Fb_y + Fc_y

Fa_y = Fa * sin(θa) = 800 lbs * sin(35º)

Fb_y = Fb * sin(θb) = 600 lbs * sin(25º)

Fc_y = Fc * (y/h) = 850 lbs * (12/13)

Fr_y = 800 * sin(35º) + 600 * sin(25º) + 850 * (12/13)

Therefore, the x-component and y-component of the resultant force Fr are determined by the above calculations.

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Answer:

It means you put full effort into what you're doing, because in math, 100% is perfect, but 110% is more than perfect, so they are saying she put extreme effort into the problem.

Answer: -2/3

Step-by-step explanation:

w = 0  and z= -2  are the value in linear equation.

What in mathematics is a linear equation?

A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.

                    Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

3w-4z= 8

2w+3z=-6

multiply both sides of the equation of a

  6w - 8z = 16

    3(2w +3z ) = - 6 * 3

calculate the quotient

         6w - 8z = 16

        3(2w +3z ) = - 6 * 3

    6w - 8z = 16

    6z + 3z = -18

substract the two equation

                  6w - 8z - (  6z + 3z) = 16 - (-18)

                            -17z = 34

                               z = -34/17

                                 z = - 2

put the value of z in equation

           6w - 8 * -2  = 16

          6w + 16  = 16

               6w = 0

                 w = 0

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To write 9 in Roman Numerals, you would use the symbols "IX".

The symbol "I" represents the number 1 and the symbol "X" represents the number 10. When a smaller symbol is placed before a larger symbol, it means that the smaller symbol is subtracted from the larger symbol.

In this case, "I" is placed before "X", so it is subtracted from 10, giving us the value of 9.

Here is a step-by-step explanation:

1. Identify the symbols for 1 and 10: "I" and "X"
2. Place the smaller symbol before the larger symbol: "IX"
3. Subtract the smaller symbol from the larger symbol: 10 - 1 = 9
4. The result is the value of the Roman Numeral: "IX" = 9

Therefore, the Roman Numeral for 9 is "IX".

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Answer:

Hello! answer B

What I did was concert them to percents so

1/8 is 12.5%

1/4 is 25%

1/2 is 50% so this clearly goes from least to greatest. Hope that helps!

Answer:

842.87 (rounded to 2 dp)

Step-by-step explanation:

Dunno just blag it

Answer:

The correct answer is D

Step-by-step explanation:

Answer:

B. The graph is linear because it increases at a constant rate.

If 51% of people owns dogs and you randomly pick two people,  then probability that they both own a dog is 0.2601

Given,

The percentage of people own dogs= 51%

We know,

Probability = Number of favorable outcomes / Total outcomes.

If you choose random guy and probability that guy own a dog = 0.51

Here the probability of having a dog is independent events

Then,

Probability that they both own a dog = Probability of first person own a dog × Probability of second person own a dog

= 0.51×0.51

=0.2601

Hence, If 51% of people owns dogs and you randomly pick two people,  then probability that they both own a dog is 0.2601

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Answer:

A ) -4/3

how to calculate slope-

(Y2 - Y1) / (X2 - X1)

Answer:

A

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 ) = (- 6, 3) and (x₂, y₂ ) = (3, - 9) ← 2 points on the line

m = \(\frac{-9-3}{3+6}\) = \(\frac{-12}{9}\) = - \(\frac{4}{3}\) → A

All the lengths in the original figure are multiplied by the same number to get a scaled replica.

Every length in the original figure is multiplied by the same number in a scaled copy, which is a copy of the original figure. For instance, triangle ABC is a scaled version of triangle DEF.

To find the matching side length on triangle DEF, each side length on triangle ABC was multiplied by 1.5. A figure that is geometrically identical to the original figure is called a scale copy. This indicates that the scale copy and the original figure are identical in shape but may vary in size.

The ratio of one object's scale to that of a new object, which has its representation but is larger, is known as a scale factor (bigger or smaller).

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Answer:

You are paying 3$ already for a drink and for each sandwich (x) you buy is 4.95$

Step-by-step explanation:

You are paying 3$ already for a drink and for each sandwich (x) you buy is 4.95$

So you pay 4.95x + 3 for your drink and x sandwiches

The algebraic expression 4.95x + 3 can be described as the total cost of a product that has a fixed price of 3 dollars, and an additional price of 4.95 dollars per unit of the product. In this case, x represents the number of units purchased, and the expression represents the total cost of the purchase.

Assuming that the account earns the interest as simple interest, to calculate the amount Mrs. Martin will have after 18 months, you have to use the following formula:

Where

A is the accrued amount

P is the principal amount

r is the interest rate expressed as a decimal number

t is the time expressed as years

She deposited $2300, this is the principal amount.

The interest rate of the account is 1.5%, to express it as a decimal value you have to divide it by 100

To express the time in "years" you have to divide the given months by 12

Now that all values are expressed in their corresponding units, you can calculate the final balance in her account as:

After 18 months she will have $2351.75 in her account.

Answer: y = 3x+1

Step-by-step explanation: If (4,1) is a solution of y = 3x+1, that means if we plugin the respective values of (4,1), we should have an EQUALITY:

1 = 3(4) + 1

1 = 13 , which is wrong, then the point (4,1) is NOT a solution of y = 3x+1.

The binomial ( 5, 1/2) distribution is symmetric about 2.5.

Probability Definition in Math -

A) P(2 Sixes in 5 rolls ) = \(\frac{5}{2} (\frac{1}{6})^{2} (\frac{5}{6})^{3}\)  = 0.160751

B) P( At least 2 six in 5 rolls ) = 1 - p (at most 1 six)

                                                = 1 - [ p (0sixes ) + p (1 six) ]

                                                =  1 - (5/6)² - { 5/1} (1/6) \(( 5/4)^{4}\)

                                                = 0. 196245

(This is shorter than adding the chance of 2,3,4,5, sixes)

c) The probability that a single dice shows 4 or greater is 3/6 = 1/2

         p ( exactly 3 shows 4 or grater )  = {5 3} \((1/2)^{5}\)  = 0. 3125

d)  p ( exactly 3 shows 4 or grater ) = {5 3} + {5 4} + {5 5} \((1/2)^{5}\)   = 0.5

( The binomial ( 5, 1/2) distribution is symmetric about 2.5 )

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The complete question is -

Suppose 5 dice are rolled. Assume they are fair dice and all rolls are inde- pendent. Calculate the probabilities of the following events: a) (1 point) Exactly two sixes. b) (2 points) At least two sixes. c) (1 point) Exactly three dice show four or greater. d) (2 points) At st three dice show four or greater

Beta decay is a type of radioactive decay that occurs in certain atomic nuclei. It involves the transformation of a neutron or proton within the nucleus into the other.

In the case of Lanthanum-144 (La-144), a neutron undergoes beta decay to convert into a proton, resulting in the formation of Cerium-144 (Ce-144).

The equation for the beta decay of La-144 into Ce-144 is as follows:

La-144 → Ce-144 + β¯

In this equation, the La-144 nucleus decays into the Ce-144 nucleus. To conserve charge, a beta particle (β¯) is emitted. The beta particle can be either an electron (β-) or a positron (β+), depending on the specific type of beta decay occurring in the nuclide.

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