also need help with this one!!

Answer: 4548

Step-by-step explanation:

In doing a quantity takeoff for 100 square feet of single wythe concrete masonry wall, with a thickness of 8", we would need  14.06 8x8x16 block and 10.14 cubic feet mortar.

Number of blocks:

Since each block is 8x8x16 inches, the volume of one block is:

Volume of one block = Length x Width x Height

                                   = 8 inches x 8 inches x 16 inches

                                   = 1024 cubic inches

To calculate the number of blocks needed, we divide the wall area by the area of one block:

Number of blocks = Wall area in square inches / Area of one block

                              = 14,400 square inches / 1024 cubic inches

                              ≈ 14.06

Rounding to the nearest whole number, the correct answer is 14 blocks.

Amount of mortar:

To determine the amount of mortar needed, we multiply the wall area by the joint thickness:

Volume of mortar = Wall area x Joint thickness

                              = 100 square feet x 1 square foot/144 square inches x 8 inches x 3/8 inches

                              ≈ 10.14 cubic feet

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\(\text{ The discriminant is 0 if the quadratic expression is a perfect square.}\\\\~~~~~b^2 -4ac =0\\\\\implies k^2-4\cdot 1 \cdot 36 = 0\\ \\\implies k^2 - 144 = 0\\\\\implies k^2 = 144\\\\\implies k = \pm\sqrt{144}\\\\\implies k= \pm12\\\\\text{Hence}~ k=12 ~\text{and}~ k=-12.\)

Answer:

circumference: 141.4

Step-by-step explanation:

formula for circumference: 2πr

2 x π x 22.5

= 141.37

The area and circumference of the pool is 1590.43 square units and 141.37 units.

The circumference of the circle that has a radius of r is defined as the product of diameter to the pie value.

The circumference of the circle = 2πr

We are given that;

Radius= 22.5

Now,

we can plug it into the formulas and get:

A=π(22.5)2

≈1590.43

C=2π(22.5)

≈141.37

Therefore, by circumference the answer will be 1590.43 square units and 141.37 units.

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When both groups are shifted to a situation in which they earn an alternative reward after being trained to navigate a runway for food, the group that received three food pellets will continue to perform the task at a high level while the group that received one food pellet will experience difficulty.

It is known that rats have a natural preference for higher rewards. As a result, the group that received three pellets will be more motivated to complete the task since they have already tasted a higher reward. Therefore, they will continue to perform at a high level in the new environment.

On the other hand, the group that received only one pellet may find it challenging to adapt to the new situation since they are now receiving a lower reward. As a result, they may struggle to complete the task, and their performance may decrease.

In conclusion, the group that received three pellets will perform better than the group that received one pellet when both groups are shifted to a situation in which they earn an alternative reward. This is because the rats have a natural preference for higher rewards.

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The surface area of the rectangular prism will be 254 square inches. Then the correct option is D.

Let the prism with a length of L, a width of W, and a height of H. Then the surface area of the prism is given as

SA = 2(LW + WH + HL)

A rectangular prism with a length of 7 inches, a width of 9 inches, and a height of 4 inches.

Then the surface area of the rectangular prism will be

SA = 2 (7 x 9 + 9 x 4 + 4 x 7)

SA = 2 (63 + 36 + 28)

SA = 2 x 127

SA = 254 square inches

Then the correct option is D.

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The correct option is A, equilibrium price increases from $6 to $8.

In economics, equilibrium is a state in which the supply and demand for a product or service are balanced, resulting in a stable price. This can occur in a free market, where the price of a good or service is determined by the interaction of buyers and sellers.

Overall, equilibrium is a fundamental concept in many different fields, representing a state of balance or stability in a system or situation.

If the demand schedule changes from D2 to D1, then the demand curve shifts to the left. As a result, the new equilibrium point will be where the new demand curve (D1) intersects with the supply curve (S1).

From the table, we can see that the new equilibrium point is at a price of $8 and a quantity of 15. Therefore, the equilibrium price increases from $6 to $8, but the equilibrium quantity decreases from 15 to 13.

So the correct answer is: equilibrium price increases from $6 to $8.

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Of the four different sets provided along with the question statement, option (B) {(1, -4), (5, 0), (5, -9)} is not a function.

As per the question statement, we are provided with 4 different set of numbers, as

A. {(3, 2), (-4, 1), (5, -9)}

B. {(1, -4), (5, 0), (5, -9)}

C. {(1, -4), (0, 5), (-9, 5)}

D. {(1, -4), (5, 0), (5, -9)}

We are required to determine the set which does not belong to a function from the above mentioned options.

To solve this question, we need to know that every input to a function has a distinct output, i.e., the same input cannot have two different outputs, or two different outputs cannot be result of one input. Also, we need to know that the corresponding inputs and outputs of a function are represented in a set form as {(i₁, o₁), (i₂, o₂), (i₃, o₃), ...], where "iₙ"  

[n = 0, 1, 2, 3, ...] denotes individual input values to a function, and "oₙ"

[n = 0, 1, 2, 3, ...] denotes individual output values to the same.

In Option (B), we can see that, (i₂ = i₃ = 5), while (o₂ = 0) and (o₃ = -9), i.e.,

Same inputs producing different output values, which is impossible in the case of a function.

Hence, {(1, -4), (5, 0), (5, -9)} is not a function.

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The justification of each step of the deductive reasoning are:

Step 1: \(CD + DE = CE\)

Step 2: \(8 + (3x + 7) = 6x\)

Step 3: \(3x + 15 = 6x\)

Step 4: \(15 = 3x\)

Step 5: \(x = 5\)

Step 6: \(CE = 6(5)\)

Step 1: \(CD + DE = CE\)

Justification: Segment Addition Postulate (point D lies in between points C and E)

Step 2: \(8 + (3x + 7) = 6x\)

Justification: Substitution (Plug in the value of CD, DE, and CE in the equation).

Step 3: \(3x + 15 = 6x\)

Justification: Combining like terms (Add 8 and 7 together).

Step 4: \(15 = 3x\)

Justification: Subtraction property of equality (Subtract 3x from both sides of the equation).

Step 5: \(x = 5\)

Justification: Division Property of Equality (Divide both sides by 3).

Step 6: \(CE = 6(5)\)

Justification: Substitution (Plugging in x = 5 into 6x).

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The justification of the deductive reasoning requires the qualification of each step in the question with appropriate theorems. The matching of the justification with the deductions are:

From the given diagram, the following are the justifications for the deductive reasoning are appropriate:

Deductive Reasoning                             Justification

1. CD + DE = CE                                     Segment Addition postulate

2. 8 + (3x + 7) = 6x                                 Addition property of equality

3. 3x + 15 = 6x                                       Addition property of equality

4. 15 = 3x                                               Combining like terms

5. x = 5                                                   Division property of equality

6. CE = 6(5)                                             Substitution

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Using it's vertex, it is found that the quadratic function with an axis of symmetry at \(x = \frac{1}{4}\) is given by:

f(x) = 2x² - x + 1.

A quadratic equation is modeled by:

\(y = ax^2 + bx + c\)

The vertex is given by:

\((x_v, y_v)\)

In which:

The axis of symmetry is at \(x = x_v\).

In this problem, considering the desired axis of symmetry, we have that:

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

\(b = -\frac{a}{2}\)

Hence the function is:

f(x) = 2x² - x + 1, which has a = 2, b = -1.

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Answer:

B

Step-by-step explanation:

Answer:

44

Step-by-step explanation:

Answer:

hahaha you're terriable at this

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Since it is a square all sides are the same. For the first one 5 x 5 eqals 25. For the second one since it has a 2 on one side we multiply 2 x 2 to get 4.

The answer is option (C), that is, the events of rolling a fair die two times are independent. The events are neither disjoint nor exclusive.

When rolling a fair die two times, one can get any one of the 36 possible outcomes equally likely. Let A be the event of obtaining an even number on the first roll and let B be the event of getting a number greater than 3 on the second roll. Let’s see how the outcomes of A and B are related:

There are three even numbers on the die, i.e. A={2, 4, 6}. There are four numbers greater than 3 on the die, i.e. B={4, 5, 6}. So the intersection of A and B is the set {4, 6}, which is not empty. Thus, the events A and B are not disjoint. So option (A) is incorrect.

There is only one outcome that belongs to both A and B, i.e. the outcome of 6. Since there are 36 equally likely outcomes, the probability of the outcome 6 is 1/36. Now, if we know that the outcome of the first roll is an even number, does it affect the probability of getting a number greater than 3 on the second roll? Clearly not, since A∩B = {4, 6} and P(B|A) = P(A∩B)/P(A) = (2/36)/(18/36) = 1/9 = P(B). So the events A and B are independent. Thus, option (C) is correct. Neither option (A) nor option (C) can be correct, so we can eliminate options (D) and (E).

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A) First derivative for y = 3x² + 5x + 10 is dy/dx = 6x + 5; B) First derivative of for, y = 100200x + 7x is dy/dx = 100207 ; C) First derivative for y = In (9x4) is dy/dx = 4 / (3x).

A. y = 3x² + 5x + 10:

First derivative of the given equation, y = 3x² + 5x + 10 is as follows:

dy/dx = d/dx (3x²) + d/dx (5x) + d/dx (10)dy/dx

= 6x + 5

Since there are no exponents in 5x, the derivative of 5x is simply 5.

Similarly, since 10 is a constant, the derivative of 10 is zero.

B. y = 100200x + 7x:

First derivative of the given equation, y = 100200x + 7x is as follows:

dy/dx = d/dx (100200x) + d/dx (7x)dy/dx

= 100200 + 7

= 100207

C. y = In (9x4):

The given equation is, y = In (9x4).

The first derivative of this function can be obtained as follows:

dy/dx = 1 / (9x4) * d/dx (9x4)dy/dx

= 1 / (9x4) * 36x3dy/dx

= 4x3 / (3x4)dy/dx

= 4 / (3x)

Therefore, the first derivative of the given function y = In (9x4) is 4 / (3x).

A) First derivative forgiven equation, y = 3x² + 5x + 10 is dy/dx = 6x + 5; B) First derivative for given equation, y = 100200x + 7x is dy/dx = 100207 ; C) First derivative for given equation, y = In (9x4) is dy/dx = 4 / (3x).

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The derivatives for x, y, and dy/dx are dx/dt = 15t² + 3, dy/dt = 4 - 12t, and dy/dx = (4 - 12t) / (15t² + 3), respectively.

To find dx/dt, we need to take the derivative of x with respect to t:

dx/dt = d/dt (5t³ + 3t) = 15t² + 3

To find dy/dt, we need to take the derivative of y with respect to t:

dy/dt = d/dt (4t - 6t²) = 4 - 12t

To find dy/dx, we need to take the derivative of y with respect to x:

dy/dx = (dy/dt) / (dx/dt)

Substituting the expressions we found above, we get:

dy/dx = (4 - 12t) / (15t² + 3)

Note that dy/dx is a function of t, so its value depends on the value of t at a particular point.

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Answer:

3/4

Step-by-step explanation:

There are 3 Points A,B,C. The first point can be anywhere on the circle  Let’s define it to be A. Let’s now orient the circle so that A is the top most point of the circle.Now imagine the circle to be cut in half vertically (into 2 semicircles, where A is in both semicircles) The next two points should be both clockwise or counterclockwise of point A, for the sake of counting lets choose clockwise. There is a 12∗12=1412∗12=14 probability that B and C are on the clockwise side of the semicircle. But the first point could have been A B or C so multiplying by 3 the answer is 3/4

Answer:

width = 1/2 mi.

Step-by-step explanation:

9/20 = 9/10 * ?

9/20 * 10/9 = 90/180

? = 1/2

The cost of labour per hour is $90.56

The total amount paid by Austin is the sum of the total cost of labour and the cost of the parts

Total amount paid = total cost of labour + cost of parts

$553.50 = total cost of labour + $126

total cost of labour = $533.50 - $126

= $407.50

The total cost of labour = cost of labour per hour x total time worked

$407.50 = xx × 4.5

xx = $407.50 / 4.5

xx = $90.56

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Given that the surface area of a rectangular prism is 200 cm², we need to determine the dimensions of the rectangular prism that would have the greatest volume.

To determine the length, width, and height of the rectangular prism that would have the greatest volume, we need to use the following formulas:

Surface area of a rectangular prism = 2(lw + lh + wh)

Where l = length,

w = width,

and h = height.

Volume of a rectangular prism = lwh

Using the surface area formula:2(lw + lh + wh)

= 200lw + lh + wh

= 100

Equation 1: w = (100 - lh) / (l + h)

Volume of a rectangular prism = lwh

= l(lh - lh² / (l + h))

Rearranging the equation:V = l³h / (l + h) - lh² / 1

Where V represents volume.To determine the dimensions of the rectangular prism that would have the greatest volume, we need to find the maximum value of the equation above.

To do this, we need to differentiate the equation with respect to l, then equate it to zero. Differentiating with respect to l gives:

(dV/dl) = h(lh + h²) / (l + h)² - h² / (l + h)²

= h(lh - h²) / (l + h)²

Equating to zero:h(lh - h²) / (l + h)² = 0lh - h²

= 0h(l - h)

= 0

Therefore, l = h.

Substituting into equation 1:

w = (100 - lh) / (l + h)

= (100 - l²) / (2l)

Differentiating with respect to l gives:(dw/dl) = (l² - 100) / 2l²

Equating to zero:(l² - 100) / 2l²

= 0l²

= 100l

= ±10 cm

Since the dimensions of a rectangular prism cannot be negative, l = 10 cm.

Substituting into w = (100 - l²) / (2l):

w = (100 - 100) / 20

= 0cm

Substituting l and w into equation 1: lw + lh + wh = 10010h + 0h

= 100h

= 10 cm

Therefore, the length, width, and height of the rectangular prism that would have the greatest volume with a surface area of 200 cm² are:

Length = 10 cm

Width = 0 cm

Height = 10 cm

Therefore, the rectangular prism is a square pyramid. The length and height are equal to 10 cm while the width is equal to 0 cm. The volume of the rectangular prism is equal to 500 cm³.

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A study that uses both manipulated and measured variables in a factorial design is called a(n)  option b. IV X PV design.

In this design, there are two or more independent variables (IVs) that are manipulated by the researcher.

And one or more measured variables, also known as participant variables (PVs), that are measured but not manipulated.

Factorial designs are used to investigate the effects of multiple independent variables on a dependent variable.

As well as the interactions between the independent variables.

The IV X PV design is a specific type of factorial design.

That includes at least one measured variable in addition to the manipulated independent variables.

Option A is incorrect because mixed repeated measures and independent groups are types of designs .

That describe how participants are assigned to different groups in a study, whereas the IV X PV design describes the types of variables that are used in a study.

Option C describes a specific type of 2x2 factorial design, which includes two independent variables, each with two levels.

Option D describes a design that is used to investigate the relationship between multiple measured variables and a single dependent variable.

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Answer:

y = 7x + 60

Step-by-step explanation:

Ron gets paid 7 dollars an hour, this is our constant, since we don't know how many hours he works per day, it can be represented as "x":

7x

He starts his job receiving 60 dollars for his first day:

7x + 60

Of course this needs the outcome "y":

[y = 7x + 60]

The required equation of the vertical line is x=5 and the horizontal line is y=2 when passing through the point (5,2).

A straight line's general equation is y = mx + c, where m is the gradient and y = c is the value at which the line intersects the y-axis. This value c is known as the y-axis intercept. A linear equation has the algebraic form y=mx+b, where m and b are constants, x is the independent variable, and y is the dependent variable. A linear equation is stated in statistical terms as y=a+bx, where a and b are constants. The equation of a two-dimensional line is ax+by=c; it is fair to predict that the equation of a three-dimensional line is ax+by+cz=d; reasonable, but incorrect—it turns out that this is the equation of a plane.

Here,

As the coordinate is (5,2),

The vertical line is x=5

The horizontal line is y=2

When passing through the point (5,2), the vertical line's required equation is x=5, and the horizontal line's required equation is y=2.

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Answer:

  6

Step-by-step explanation:

We want to factor the trinomial into a product of binomials. In general, we have ...

  (x +a)(x +b) = x² +(a+b)x +ab

So, the values of "a" and "b" need to have a product of 12. There are 6 ways to do that:

  12 = 1·12 = 2·6 = 3·4 = (-1)(-12) = (-2)(-6) = (-3)(-4)

The values of k are the sums of these factors of 12, so are

  1+12 = 13

  2+6 = 8

  3+4 = 7

  -1-12 = -13

  -2-6 = -8

  -3-4 = -7

There are 6 possible integer values of k that will make the trinomial factorable in integers:

  k ∈ {-13, -8, -7, 7, 8, 13}

Given a function f(x), we know that the graph of:

• f(x - a) is the graph f(x) shifted horizontally ,a, units to the right,

• f(x) + b is the graph f(x) shifted vertically ,b, units up,

• f(x - a) + b is the graph f(x) shifted horizontally ,a, units to the right and vertically ,b, units up,.

Comparing the function:

with the general case f(x - a) + b, we see that we have:

• a = 2,

• b = 4.

So we conclude that the graph of this function is the graph of f(x) sifted:

• horizontally a = 2 units to the right,

• vertically b = 4 units up.

Answer

The graph of this function is the graph of f(x) sifted:

• horizontally 2 units to the right,

• vertically 4 units up.

If the discount is 75% so the new price of the product will be 0.25P.

Discount is the reduced amount on the MRP of any product. So we will give the less amount then the MRP of the product.

Here the discount on P is given as 75% so the price of the product now becomes P-0.75P;

The expression will be calculated as:

P-0.75P=0.25P

Hence If the discount is 75% so the new price of the product will be 0.25P.

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Answer:

40c

Step-by-step explanation:

it starts at 10c and goes up 30c you can just add 30 to 10 to get 40

The solution is, 40°C will be the new reading.

Addition is a way of combining things and counting them together as one large group. ... Addition in math is a process of combining two or more numbers.

here, we have,

given that,

the reading on the thermometer reads 10°C

and the temperature rises 30°C

now, we have to add the temperature ,

so, the new reading will be,

30+10

=40°C

Hence, The solution is, 40°C will be the new reading.

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