Please help me I have a learning disability and need help with this.
Define a variable and write the phrase as an algebraic expression.
four times as many apples
Let a =
Group of answer choices
the number of apples
as many
the number of trees
times

4,067.2

Step-by-step explanation:

—4067.23

You rounded to the nearest tenths place. The 2 in the tenths place rounds down to 2, or stays the same, because the digit to the right in the hundredths place is 3.

4,067.2

When the digit to the right is less than 5 we round toward 0.

4067.23 was rounded down toward zero to 4,067.2

The time taken by cook to make one sandwich is equals to forty-five seconds.

let "x" be the time (in seconds) to make 1 sandwhich and " y " be the time (in seconds) to make 1 salad. Now, it takes 3 min 45 sec to make 3 sandwiches and 3 salads.

time in seconds , 3 min 45 sec = 225 sec

so, 3x + 3y = 225

=> x + y = 75 --(1)

Also, it takes 8 min 30 sec to make 6 sandwiches and 8 salads, i.e ,8min 30sec = 510 sec

so, 6x + 8y = 510

=> 3x + 4y = 255--(2)

We have a system of linear equations consists equation (1) and (2). We solve this system of equations by using Substitution,

Substitute the value of x = 75 - y in equation (2),

3x + 4y = 255

=> 3(75- y) + 4 y = 255

=> 225 - 3y + 4y = 255

=> y = 255 - 225 = 30

from equation (1) , x = 75 - 30 = 45.

So, it takes 45 seconds to make one sandwich and 30 seconds for one salad .

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An expression for the electric field at points on the x-axis is [tex]$\frac{q}{4 \pi \epsilon_0}\left(\frac{4 d}{X^3}\right)$[/tex]

The electric field at a point P on the x-axis for which X is much larger than the distance between the charges​.

Let us consider two charge -q and +q separated by small distance 2d.

P is a point along the axial line of the dipole at a distance X from the midpoint O of the electric dipole.

The electric field at the point P due to +q placed at B

[tex]E_1=\frac{1}{4 \pi \epsilon_0} \frac{q}{(X-d)^2}[/tex]...(I)

The electric field at the point P due to -q placed at A

[tex]E_2=-\frac{1}{4 \pi \epsilon_0} \frac{-q}{(X+d)^2}[/tex]...(II)

We need to calculate the magnitude of resultant of electric field

Using formula of electric field

[tex]E=E_1+\left(-E_2\right)[/tex]

Put the value into the formula

[tex]& E=\frac{1}{4 \pi \epsilon_0} \frac{q}{(X-d)^2}-\frac{1}{4 \pi \epsilon_0} \frac{q}{(X+d)^2} \\[/tex]

[tex]& E=\frac{q}{4 \pi \epsilon_0}\left(\frac{1}{(X-d)^2}-\frac{1}{(X+d)^2}\right) \\[/tex]

[tex]& E=\frac{q}{4 \pi \epsilon_0}\left(\frac{4 X d}{\left(X^2-d^2\right)^2}\right)[/tex]

If the point P is far away from the charges, and X is much larger than the distance between the charges

The electric field will be

[tex]& E=\frac{q}{4 \pi \epsilon_0}\left(\frac{4 X d}{X^4}\right) \\[/tex]

[tex]& E=\frac{q}{4 \pi \epsilon_0}\left(\frac{4 d}{X^3}\right)[/tex]

Hence, the electric field will be [tex]$\frac{q}{4 \pi \epsilon_0}\left(\frac{4 d}{X^3}\right)$[/tex]

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Derive an expression for the electric field at a point P on the x-axis for which X is much larger than the distance between the charges​.

Answer: D. y = 1/2x + 3

Step-by-step explanation:

Graph the line using the slope and y-intercept, or two points.

Slope: 1/2

y-intercept: (0,3)

x|y

0|3

2|4

Hope this helps :D

The regular price of the soda is $1.59

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

Number of bottles = 5

Total cost = 5.20

Coupon = 0.55

Using the above as a guide, we have the following:

Total cost = Number of bottles * (Regular price - Coupon)

Substitute the known values in the above equation, so, we have the following representation

5 * (Regular price - 0.55) = 5.20

So, we have

Regular price - 0.55 = 1.04

Add 0.55 to both sides

Regular price = 1.59

Hence, the regular price is 1.59

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Answer:

6

Step-by-step explanation:

The equation of this parabola in vertex form is y = ( -1/2) x² - 0.5

In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable (the dependent variable) (the dependent variable). In mathematics and the physical sciences, functions are indispensable for formulating physical relationships.

We are given that Focus (0,-1), Directrix is the line y=0

so, we have a vertical parabola open downward

Remember that the distance from the vertex to the directrix must be the same that the distance from the vertex to the focus

This means that the vertex is the point (0,-0.5)

The midpoint between the focus and the directrix

Find out the value of p (focal distance)

p=0.5

The equation of the parabola is given by

y =( -1/2) x² - 0.5

The vertex is (0,-0.5)

The value of p=0.5

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Answer: 3 words

Step-by-step explanation:

what is 9 in a fraction

The possible values of k for the equation of circle are -4 and 7.

A circle is a two-dimensional figure with a radius and circumference of 2πr.

The area of a circle is πr².

We have,

The equation of a circle is (x - 1)² + (y - k)² = 50

The equation of the circle passes through the point (2, 3) = (x, y).

Now,

(2 - 1)² + (3 - k)² = 50

1 + (3 - k)² = 50

(3 - k)² = 50 - 1

3 - k = √49

3 - k = ±7

Now,

3 - k = 7

3 - 7 = k

k = -4

3 - k = -7

3 + 7 = k

k = 10

Thus,

The possible values of k are -4 and 10.

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The numerical length of BD is 16 units

as given in the question,

There is a line segment BD

and a point lies on the line segment BD which is point C

but we don't know the exact position where the point C lies on the line segment BD

from the details given

The distance between C and B is x

the distance between B and D is 2x

the distance between C and D is 8

let the point C be a arbitrary point in the line segment BD

now ,

BC + CD = BD

x + 8 = 2x

x = 8

now  BD is 2x that is 2( 8) is 16

The length of BD is 16.

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The numerical length of [tex]\overline{bd}[/tex] is 16 units.

Using the formula for the length of a line segment, we can calculate the length of segment BD. The formula is

Length = [tex]√((x2-x1)^2+(y2-y1)^2)[/tex]

We know that BD = 2x so x2 = 2x and x1 = 0. We also know that CD = 8 and BC = x so we can calculate y2 and y1. y2 = 8 - 2x and y1 = x - 0.

Therefore, plugging in these values we get:

Length =[tex]√((2x-0)^2+(8-2x)^2)[/tex]

Solving for the length of BD we get:

Length = [tex]√(4x^2 + 64)[/tex]

Substituting in the value of x = 8, we get:

Length = [tex]√(4*8^2 + 64)[/tex]

Length = [tex]√(256 + 64)[/tex]

Length = [tex]√320[/tex]

Length = 16 units.

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The distance between two points is D and E, E and F, C and D, A and B, B and C, when the points are arranged in increasing order.

Discover the distance formula, a Pythagorean theorem application, to determine the separation between two places. To get the separation between any two points, we can rewrite the Pythagorean theorem as [tex]d= \sqrt{x_{2} -x_{1} + y_{2} -y_{1} }[/tex]

In geometry, distances are always positive unless the points are exactly adjacent. The distance between A and B is equal to the distance between B and A. We consider two points A(a,b) and B to get the formula for the distance between two points in the plane (c,d).

[tex]d= \sqrt{x_{2} -x_{1} + y_{2} -y_{1} }[/tex]

The distance is provided in the following equation as

A and B are [tex]\sqrt{39}[/tex] miles apart.

B and C are [tex]\sqrt{41}[/tex] miles apart.

C and D are five miles apart.

D and E are four miles apart.

E and F are [tex]\sqrt{17}[/tex] miles apart.

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Answer:

Step-by-step explanation:

you have to count the distance between each point then list them from smallest to greatest. The other answers on here made it more convoluted than necessary.

Answer:

1/2

Step-by-step explanation:

The slope of a line is defined as the change in y-value divided by the change in x-value between two points on the line. To find the slope of the line joining (1, 4) and (-3, 2), we can use the formula:

slope = (y2 - y1) / (x2 - x1)

Plugging in the coordinates of the two points, we get:

slope = (2 - 4) / (-3 - 1)

slope = -2 / -4

slope = 1/2

So the slope of the line joining (1, 4) and (-3, 2) is 1/2.

Answer:

1/2

Step-by-step explanation:

Graph of a sine function ,The sinusoidal graph, often known as the sine graph, is an up-down graph that repeats every 360 degrees, or at 2[tex]\pi[/tex]. Amplitude is 7

Graph of a sine function ,The sinusoidal graph, often known as the sine graph, is an up-down graph that repeats every 360 degrees, or at 2[tex]\pi[/tex].

Trigonometric functions include sine functions. Keep in mind the intercepts, maximum points, and minimum points throughout one period if you wish to sketch the graph of the fundamental sine function. As a result, the graph is  h(x) = 7 sin x depicted in the image below.

h(x) = 7 sin x

Those intercepts are

(0 0) , ([tex]\pi[/tex] ,0) ,  and (2[tex]\pi[/tex], 0)

A maximum of:

([tex]\pi[/tex]/2 , 7)

Minimum score:

(3[tex]\pi[/tex]/2 , -7)

Period:

2[tex]\pi[/tex]

Amplitude = 7

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Answer:

To find the area of a triangle, you use the following formula:
[tex]\frac{1}{2}[/tex] x base x height

= [tex]\frac{1}{2}[/tex] x 13 x 4

= 6.5 x 4

= 26

The coefficient of y in the expression -2x² * y² * z is 0

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

An algebraic expression

The algebraic expression is given as

- 2x ^ 2 * y ^ 2 * z

Express the exponents as proper subscripts

So, we have the following representation

-2x² * y² * z

There is no term in the expression with the variable y

Instead, the term has a y² as its variable

This means that the coefficient of y is 0

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The probability that Larry wins the game is [tex]$\tfrac{1}{2}$[/tex].

The probability that Larry knocks the bottle off the ledge on his first throw is

[tex]$\tfrac{1}{2}$.[/tex]

The probability that Larry knocks the bottle off the ledge on his second throw, given that he did not knock it off on his first throw, is

[tex]$\tfrac{1}{2}$[/tex]

Therefore, the probability that Larry wins the game is

[tex]$\tfrac{1}{2} \times \tfrac{1}{2} = \tfrac{1}{2}$.[/tex]

By the law of total probability, we have:

[tex]$P(W) = P(W|F)P(F) + P(W|F^c)P(F^c)$[/tex]

[tex]$P(W) = 1 \times \tfrac{1}{2} + \tfrac{1}{2} \times \tfrac{1}{2}$[/tex]

[tex]$P(W) = \tfrac{1}{2}$[/tex]

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Answer:

15 kg

Step-by-step explanation:

.625 x 4.8 = 3

It takes 3 kg of flour to make 1 loaf of bread.

3 x 5 = 15

The expansion of the trinomial 10x² - 61 x + 72 is (2x - 9) (5x - 8).

An algebraic expression known as a trinomial has three non-zero terms and more than one variable. An example of a trinomial is a polynomial having three terms. An algebraic expression with one or more terms is called a polynomial.

Given:

10x² - 61 x + 72

Calculate the roots of the trinomial as shown below,

10x² - 16 x - 45 x + 72

2x  (5x - 8) - 9(5x - 8)

(2x - 9) (5x - 8)

Thus, the expansion of the trinomial is (2x - 9) (5x - 8).

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The two triangles that are congruent by by ASA congruency postulate are; ΔCBA ≅ ΔDBA

There are different triangle congruence postulates such as;

SAS which means Side - Angle - Side

SSS which means Side - Side - Side

ASA which means Angle - Side - Angle

AAS which means Angle - Angle - Side

HL which means Hypotenuse Leg Congruence Postulate

Now, we want to look for the triangles that are congruent by Angle - Side - Angle Congruence Postulate.

Looking at triangles ABC and AED, we can see that;

∠ACB ≅ ∠ADE

∠ABC ≅ ∠AED

BC ≅ ED

Thus, we have 2 congruent angles and the included side and as such ΔCBA ≅ ΔDBA by ASA congruency postulate.

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The Riemann sum formula to find RN is RN = (5/n) × Σ(i=1 to n) [f(x_i) × (5/n)], and the area under the graph as a limit is 400.

The function f(x) = (5x)² is a polynomial function, and we can use the formula for the nth Riemann sum to find RN. The formula for the nth Riemann sum is:

RN = (5/n) × Σ(i=1 to n) [f(x_i) × (5/n)]

where x_i = -1 + (i-1)(5/n) and f(x_i) = (5x_i)²

Substituting these values into the formula, we get:

RN = (5/n) × Σ(i=1 to n) [(5x_i)² × (5/n)]

RN = (5/n) × Σ(i=1 to n) [(25x_i²) × (1/n)]

Therefore the formula for RN is (5/n) × Σ(i=1 to n) [(25x_i²) × (1/n)]

To find the area under the graph as a limit, we take the limit as n approaches infinity:

limN→[infinity] RN = limN→infinity × Σ(i=1 to n) [(25x_i²) × (1/n)]

The function is defined on the closed interval [-1,5], so the definite integral is the definite integral from -1 to 5 of (25x²) dx

limN→[infinity] RN = (25/3) × 5³ - (25/3) × (-1)³

limN→[infinity] RN = (25/3)×(125 -1)

limN→[infinity] RN = 400

Therefore, limN→[infinity] RN = 400

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The System of Linear Equations with at least one solution is called as Consistent .

Consider the two linear equations , [tex]a_{1}x +b_{1}y =c_{1}[/tex] and [tex]a_{2}x +b_{2}y =c_{2}[/tex] ;

Case(i) If the ratio is [tex]\frac{a_{1} }{a_{2} } \neq \frac{b_{1} }{b_{2} }[/tex] ,

then we say that the system of linear equations has a unique solution and the solutions are called as consistent .

Case(ii) If the ratio is [tex]\frac{a_{1} }{a_{2} } = \frac{b_{1} }{b_{2} } = \frac{c_{1} }{c_{2} }[/tex]  ,

then we say that the system of linear equations has infinitely many solution and the solutions are called as consistent .

Case(iii) If the ratio is [tex]\frac{a_{1} }{a_{2} } = \frac{b_{1} }{b_{2} } \neq \frac{c_{1} }{c_{2} }[/tex]  ,

then we say that the system of linear equations has No Solution and the solutions are called as inconsistent .

So , if the system has at least one solution , then the solutions are consistent .

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Answer:The answer is -18

Step-by-step explanation: Add -13+5 and you will get the correct answer.

The total amount the homeowner would pay for the damages would be $5,150.

In this situation, the homeowner would pay $5,000 for the deductible, plus the premium of $150. The remaining amount of $165,000 would be covered by the policy up to the limit of $300,000. Therefore, the total amount the homeowner would pay for the damages would be $5,150.

To calculate this, we can use the following formula:

Total Cost = Deductible + Premium + (Damages - Limit)

Total Cost =[tex]$5,000 + $150 + ($170,000 - $300,000)[/tex]

Total Cost =[tex]$5,000 + $150 + (-$130,000)[/tex]

Total Cost = [tex]$5,150[/tex]

The total amount the homeowner would pay for the damages would be 5,150.

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Answer: {1024/3 r^3

Step-by-step explanation:

Similar Question

The distance between the two cities is 1305 miles

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

1 inch = 300 miles

Also, we have

Distance = 4.35 inches

Multiply both sides of the scale by 4.35

So, we have

4.35 inches = 300 * 4.35

Evaluate the product

4.35 inches = 1305 miles

Hence, the distance is 1305 miles

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There is a 0.5 probability that the first toss and the last toss yield different outputs.

Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.

The sample space for a coin tossed three times is:

P = {HHH, HTH, HHT, HTT, TTT, THH, THT, TTH}

Now, out of this, we have to find the probability that the first and last toss are different results, i.e., if first toss is heads then last toss should be tails, and vice-versa.

The sample space for this is:

P = {HHT, HTT, THH, TTH}

The probability is:

[tex]P = \frac{4}{8} = \frac{1}{2}[/tex]

Therefore, there is a 0.5 probability that the first toss and the last toss yield different outputs.

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There is a 0.5 probability that the first toss and the last toss yield different outputs.

Now, According to the question:

Let's know:

What is probability and example?

It is based on the possible chances of something to happen. The theoretical probability is mainly based on the reasoning behind probability. For example, if a coin is tossed, the theoretical probability of getting a head will be ½.

The sample space for a coin tossed three times is:

P = {HHH, HTH, HHT, HTT, TTT, THH, THT, TTH}

Now, out of this, we have to find the probability that the first and last toss are different results, i.e., if first toss is heads then last toss should be tails, and vice-versa.

The sample space for this is:

P = {HHT, HTT, THH, TTH}

Probability = Number of Favorable Outcomes / Total Number of Outcomes.

P = 4/8 = 1/2
Therefore, there is a 0.5 probability that the first toss and the last toss yield different outputs.

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The loan amount that Ahmad needs to relay will be RM 901600

From the information, Ahmad obtained a car loan of RM 700000 from a bank with an interest rate of 3.2% per annum for 9 years.

The interest based on the information will be:

= Principal × Rate × Time

= 700000 × 3.2% × 9

= $201600

The loan amount that Ahmad needs to relay will be:

= 700000 + 201600

= 901600

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Answer:

72 m

93 m

Step-by-step explanation:

1)  A = length x width

6264 m² = (87 m)w

w = 6264 m²/87 m = 72 m

2)  P = 2l + 2w

342 m = 2l + 2(78 m)

342 m - 156 m = 186 m = 2l

l = 186 m/2 = 93 m

The integer that represents the exact opposite of the real-world situation; "a credit of $38" is; -$38 which represents a debit for the same amount.

As evident in the task content; the integer which correctly represents the opposite of the given real world problem is required to be determined.

Since the given real-world problem is; $38 which represents a credit.

The exact opposite of that which represents a debit for the same amount is; -$38.

On this note, the number line representation of both integers is as represented in the attached image.

The number, zero represents a point of neither credit nor debit in this situation.

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A firm has the short-run total cost function c(y) = 4y^2 + 100; its marginal cost is mc(y) = 8y. At the A: 5 quantity of output the short-run average cost is minimized.

AC=c/y,   where y is the output produced

AC= c/y= (4y^2 + 100)/y

            = 4y+100/y

To minimize AC, the first derivative of the AC function is determined

dAC/dy= 4 -100/y^2

4 -100/y^2=0

4 = 100/y^2

y^2 = 100 /4

y^2 = 25

y = 5

At y=5 we find the second derivative of the AC function to ascertain if AC is minimized.

d(dAC/dy)= -200/y^3

-200/(5)^3= 1.6,   revealing that AC is minimized at y=5.

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