Can Someone please help me with this question? I really need help. It Is Algebra 1 and I'm not very good at it. I'm trying to pass with a B or better.

9514 1404 393

Answer:

  34

Step-by-step explanation:

Let x represent the number of nickels Abby has. Then the number of dimes is 61-x. The total value of the coins, in cents, is ...

  5x +10(61-x) = 440

  -5x +610 = 440 . . . . . simplify

  x - 122 = -88 . . . . . . . .divide by -5

  x = 34 . . . . . . . . . . . . add 122

Abby has 34 nickels in her collection of coins.

The part of the statement following "if" is called the antecedent, and the part of the statement following "then" is called the consequent in conditional statements.

The if statement evaluates the test expression inside the parenthesis ().

If the test expression is evaluated to true, statements inside the body of if are executed.

If the test expression is evaluated to false, statements inside the body of if are not executed.

The part of the statement following "if" is called the antecedent, and the part of the statement following "then" is called the consequent in conditional statements.

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In conditional statements, the part of the statement following 'if' is called the antecedent.

The antecedent is the condition that needs to be true for the consequent to occur.

The consequent is the part of the statement that follows 'then.'

An antecedent is a noun or pronoun that denotes a specific being, place, object, or clause.

It's also referred to as a referent. Without an antecedent, a sentence may be insufficient or nonsensical since it is

required to establish what or to whom a pronoun in a sentence is referring.

In summary, a conditional statement is structured as "if (antecedent) then (consequent)."

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Step-by-step explanation:

Para hacer las porciones para 32 personas, multiplique cada cantidad de ingrediente por 4 ya que la receta proporciona 8 porciones y 8 * 4 = 32

Papa seca = \(\frac{1}{2} *4\)

                     = 2 papas secas

Cerdo = \(\frac{1}{2} *4\)

       = 2 kg de carne de cerdo

Cebollas = 1 * 4

            = 4 cebollas grandes

Aji panca = 3 * 4

               = 12 cucharadas de aji panca

Ajo molido = \(1\frac{1}{2} *4\)

                       = \(\frac{3}{2} *4\)

                       = 6 cucharadas de ajo molido

Sal = 1 * 4

      = 4 cucharadas de sal

The given statement "the probability of the union of two events occurring can never be more than the probability of the intersection of two events occurring." is False.

The union of two events A and B represents the event that at least one of the events A or B occurs. The probability of the union of two events can be calculated using the formula:

P(A or B) = P(A) + P(B) - P(A and B)

On the other hand, the intersection of two events A and B represents the event that both events A and B occur. The probability of the intersection of two events can be calculated using the formula:

P(A and B) = P(A) * P(B|A)

where P(B|A) is the conditional probability of B given that A has occurred.

It is possible for the probability of the union of two events to be greater than the probability of the intersection of two events if the two events are not mutually exclusive.

In this case, the probability of both events occurring together (the intersection) may be relatively small, while the probability of at least one of the events occurring (the union) may be relatively high.

In summary, the probability of the union of two events occurring can sometimes be greater than the probability of the intersection of two events occurring, depending on the relationship between the events.

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The average rate of change is the slope of the line between the points

     ( -4, f(-4) ) and ( 4, f(4) )

f(-4) = 16 + 40 + 5 = 61

f(4) = 16 - 40 + 5 = 19

The slope (AKA average rate of change) is then

    \(m =\dfrac{19-61}{4-(-4)}=\dfrac{-42}{8} = -\dfrac{21}{4}\)

Answer:

3

Step-by-step explanation:

Solve for m.

3x + 4 = mx + 4 subtract 4 from each side

3x + 4 - 4 = mx + 4 - 4 the 4’s on both sides will cancel

3x = mx divide each side by x

3x/x = mx/x The x cancels and you’re left with

3 = m

If m = 3 then

3x + 4 = mx + 4 will become

3x + 4 = 3x + 4 subtract 4 from each side

3x + 4 - 4 = 3x + 4 - 4 the 4’s on both sides will cancel

3x = 3x divide each side by 3

3x/3 = 3x/3 The 3s cancel and you’re left with

x = x

So for any value of x, positive or negative, they will equal each other. Therefore there are an infinite number of solutions when m = 3

Answer: Reflection over X axis is (-4, 2) and reflection over the Y axis is (4, -2)

Step-by-step explanation:

Let's solve the equation.

4 (2m -6) - 3p - 2m + 8

= 8m - 24 - 3p - 2m + 8 (We simplified 4 (2m -6))

= 6m - 16 - 3p (We added the 8 to the 24)

= 6m - 3p - 16 (We organized the variables together so it matches an answer.)

The answer is A!

Answer: hii

Step-by-step explanation:

How to solve your problem:

4 (2m -6) - 3p - 2m + 8

Simplify.

Distribute.

4 (2m -6) - 3p - 2m + 8

8m - 24 - 3p - 2m + 8

Add the numbers:

8m - 24 - 3p - 2m + 8

8m - 16 - 3p - 2m

Combine like terms:

8m - 16 - 3p - 2m

6m - 16 - 3p

Rearrange terms:

6m - 16 - 3p

6m - 3p - 16

Solution:

6m - 3p -16

Hopefully this helps you ~

- Matthew

\( {c}^{2} - 5c - 8 \\ 36 - 30 - 8 \\ - 2\)

The correct symbol that the analyst should put at the end of the line of code to add a layer to the plot is B. The plus sign (+).

ggplot2 is a graphical representation of the grammar of graphics, which is a statistical visualization package in R. ggplot2 is a data visualization package for R that makes it simple to build complicated charts, including scatterplots, boxplots, and graphs.

ggplot2 is based on The Grammar of Graphics, which is a theory of graphics that assumes that a chart is a mapping of aesthetics (color, shape, size) and statistical transformations (median, sum, correlation) of data onto visual representations. Aesthetics are mapped to data, while geom_ elements determine the visual representation used.
The symbol that a data analyst should put at the end of the line of code to add a layer to the plot is the plus sign (+).

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The value of x is equal to 15°

In Mathematics and Geometry, the sum of the exterior angles of both a regular and irregular polygon is always equal to 360 degrees.

Note: The given geometric figure (regular polygon) represents a pentagon and it has 5 sides.

By substituting the given parameters, we have the following:

3x + 4x + 8 + 5x + 5 + 6x - 1 + 5x + 3 = 360°.

3x + 4x + 5x + 6x + 5x + 8 + 5 - 1 + 3 = 360°.

23x + 15 = 360°.

23x = 360 - 15

23x = 345

x = 345/23

x = 15°.

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The length of the straw is √101 inches

The rectangular box has:

length (l) = 6 inches

breadth (b) = 4 inches

height (h) = 7 inches

The straw is said to fit into the box diagonally from the bottom.

So, the length of the straw is calculated as:

S= √(l² + b² + h²)

S = √(6² + 4² + 7²)

S = √101 inches

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No, an isosceles triangle is not always a right triangle.

An isosceles triangle is a triangle that has two sides of equal length and two angles of equal measure. The two equal sides are known as the legs, and the angle opposite the base is known as the vertex angle.

A right triangle, on the other hand, is a triangle that has one right angle (an angle measuring 90 degrees). In a right triangle, the side opposite the right angle is the longest side and is called the hypotenuse.

While it is possible for an isosceles triangle to be a right triangle, it is not a requirement. In an isosceles triangle, the vertex angle can be acute (less than 90 degrees) or obtuse (greater than 90 degrees). Only if the vertex angle of an isosceles triangle measures 90 degrees, then it becomes a right isosceles triangle.

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Because it only considers the worst possible outcomes, the maximin decision criterion has the least downside risk.

Wald's maximin model is a non-probabilistic decision-making model in game theory and decision theory.

It says that while choosing a course of action, the decision-maker should choose the one whose greatest (highest) loss is better than the least (minimum) loss of all other options that are feasible under the current conditions. The approach that maximizes one's own lowest payout is referred to as "maximin" in non-zero-sum games.

When given a choice between numerous options, the maximin approach instructs managers to consider each option's worst-case outcome. This presupposes that each choice has a number of possible outcomes.

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Answer: 15-a=5

Step-by-step explanation:

15 is the amount she paid in total. 15 pounds - 5 pounds = 10 pounds

so the original price was 10 pound.

Answer:

\( \sf \: d) \: 15 - a = 5\)

Step-by-step explanation:

Given information,

→ Sophia brought some almonds.

→ She paid $15 and received $5.

Now we have to,

→ Find the required equation.

Let us assume that,

→ a = Cost of the almonds

The equation will be,

→ 15 - a = 5

=> As she is received $5 as change.

Then the cost of almonds is,

→ 15 - a = 5

→ -a = 5 - 15

→ -a = -10

→ [ a = $10 ]

Hence, the option (d) is correct.

The required solution of the expressions is (a) 7x⁵ + 13³ - 11x⁴ - x, (b) 5p² - 7p + 1.

Given that,
To arrange the like terms in columns and add them. - a) 2x³ - 7x⁴ + 7x⁵ and 11x³ - 4x⁴ – x b) -2p - 3p² and 1 - 5p + 8p²​.

The algebraic expression consists of constant and variable. eg x, y, z, etc.

Here,
(a)
= 2x³ - 7x⁴ + 7x⁵ + 11x³ - 4x⁴ – x
= 7x⁵ - 7x⁴  - 4x⁴+ 2x³ + 11x³– x
=  7x⁵ + 13³ - 11x⁴ - x,

(b)
=  -2p - 3p² +  1 - 5p + 8p²
= 1  -2p - 5p -3p² + 8p²
=  1 - 5p + 8p²​

Thus, the required solution of the expressions is (a) 7x⁵ + 13³ - 11x⁴ - x, (b) 5p² - 7p + 1.

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The required solutions to the given polynomials are 13x³- 11x⁴+ 7x⁵  – x and - 7p + 5p²​+ 1.

A polynomial is defined as a mathematical expression that has a minimum of two terms containing variables or numbers.

The polynomials are given in the question :

2x³ - 7x⁴ + 7x⁵, and 11x³ - 4x⁴ – x

-2p - 3p² and,1 - 5p + 8p²​

According to the question,

⇒ 2x³ - 7x⁴ + 7x⁵ + 11x³ - 4x⁴ – x

Rearrange the terms and apply the arithmetic operation,

⇒ 2x³ + 11x³- 7x⁴- 4x⁴ + 7x⁵  – x

⇒ 13x³- 11x⁴+ 7x⁵  – x

⇒ -2p - 3p² + 1 - 5p + 8p²​

Rearrange the terms and apply the arithmetic operation,

⇒ -2p - 5p - 3p²  + 8p²​+ 1

⇒ - 7p + 5p²​+ 1

Thus, the required solutions to the given polynomials are 13x³- 11x⁴+ 7x⁵  – x and - 7p + 5p²​+ 1.

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Answer:

log uv = Log U + Log V

Step-by-step explanation:

Here to rewrite this, we have to use one of the logarithmic laws

We have this as;

Log x + Log y = Log xy

Applying this to what we have;

log uv = Log U + Log V

Answer:

-7k

Step-by-step explanation:

(−102+7k+6×4)+(−14−464−14k)

Multiply 6 and 4 to get 24.

−102+7k+24−14−464−14k

Add −102 and 24 to get −78.

−78+7k−14−464−14k

Subtract 14 from −78 to get −92.

−92+7k−464−14k

Subtract 464 from −92 to get −556.

−556+7k−14k

Combine 7k and −14k to get −7k.

−556−7k

John's savings amount as a function of time is S(t) = $24,000 / 25. Initially, he needs to save $24,000 for a new car. After the first month, he has saved $1,000. The savings amount is directly proportional to the time elapsed. The constant of proportionality is 1/24. Thus, John's savings amount can be determined based on the remaining amount he needs to save.

John's savings amount can be represented as a function of time and is proportional to the amount he still needs to save. Let's denote the amount John needs to save as N(t) at time t, and his savings amount as S(t) at time t. Initially, John needs to save $24,000, so we have N(0) = $24,000.

We know that John has saved $1,000 after the first month, which means S(1) = $1,000. Since his savings amount is proportional to the amount he still needs to save, we can write the proportionality as:

S(t) = k * N(t)

where k is a constant of proportionality.

We need to find the value of k to determine John's savings amount at any given time.

Using the initial values, we can substitute t = 0 and t = 1 into the equation above:

S(0) = k * N(0)  =>  $1,000 = k * $24,000  =>  k = 1/24

Now we have the value of k, and we can write John's savings amount as a function of time:

S(t) = (1/24) * N(t)

Since John's savings amount is proportional to the amount he still needs to save, we can express the amount he still needs to save at time t as:

N(t) = $24,000 - S(t)

Substituting the expression for N(t) into the equation for S(t), we get:

S(t) = (1/24) * ($24,000 - S(t))

Simplifying the equation, we have:

24S(t) = $24,000 - S(t)

25S(t) = $24,000

S(t) = $24,000 / 25

Therefore, John's savings amount at any given time t is S(t) = $24,000 / 25.

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Answer:

12, 444

Step-by-step explanation:

•First find out what is 8% of 18300

=8\100 ×18300\1 = 146400\100 =1464. [\ means ÷]

• Next multiply 1464 by 4 years =5,856

•Finally calculate 18300- 5856 = 12,444 (we are saying 18300 - 5856 because the money

decreased & 5856 represnt 8% of 18300 in 4 years)

~ Appreciation is when money increases

~Deperciation is when money decreases

R carries inversely as the cube S . If R=9 when S=3 ,  S= 4, when R= 243÷64.

Inverse proportionality is a mathematical relationship between two variables, in which an increase in one variable leads to a decrease in the other variable in such a way that their product remains constant. In other words, if the value of one variable is multiplied by a certain factor, the value of the other variable will be divided by the same factor.

Mathematically, two variables x and y are said to be inversely proportional if their relationship can be expressed as:

x * y = k

where k is a constant, and the symbol * denotes multiplication.

For example, the distance travelled by a car is inversely proportional to the time taken to travel that distance, assuming the car maintains a constant speed. If we let d represent the distance travelled and t represent the time taken, then we can express their relationship as:

d * t = k

where k is a constant

If R varies inversely as the cube of S, then we know that:

R ∝ \(\frac{1}{S^{3} }\)

We can express this relationship using a proportionality constant k:

R = \(\frac{k}{S^{3} }\)

To find the value of k, we can use the given information that R = 9 when S = 3:

9 = \(\frac{k}{3^{3} }\)

9 = \(\frac{k}{27 }\)

k = 9 * 27

k = 243

Now we can use this value of k to find S when R = \(\frac{243}{64}\):

\(\frac{243}{64}=\frac{243}{S^{3} }\)

Simplifying this equation, we get:

S³ = \(\frac{243*64}{243}\)

S³ = 64

S = ∛64

S = 4

Therefore, when R = \(\frac{243}{64}\), S = 4.

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Split up the interval [0, 3] into 6 subintervals. Each will have length

\(\Delta x_i = \dfrac{3-0}6 = \dfrac12\)

So the partition will be

[0, 1/2], [1/2, 1], [1, 3/2], [3/2, 2], [2, 5/2], [5/2, 6]

The right endpoints form an arithmetic sequence given by

\(x_i = \dfrac i2\)

where 1 ≤ i ≤ 6.

Then the Riemann sum is

\(\displaystyle \sum_{i=1}^6 f(x_i) \Delta x_i = \frac12 \sum_{i=1}^6 \left(\left(\frac i2\right)^3 - 6\left(\frac i2\right)\right)\)

\(\displaystyle \sum_{i=1}^6 f(x_i) \Delta x_i = \frac12 \sum_{i=1}^6 \left(\frac{i^3}8 - 3i\right)\)

\(\displaystyle \sum_{i=1}^6 f(x_i) \Delta x_i = \frac1{16} \sum_{i=1}^6 i^3 - \frac32 \sum_{i=1}^6 i\)

Recall the formulas for sums of powers:

\(\displaystyle \sum_{i=1}^n i = \frac{n(n+1)}2\)

\(\displaystyle \sum_{i=1}^n i^3 = \frac{n^2(n+1)^2}4\)

It follows that

\(\displaystyle \sum_{i=1}^6 f(x_i) \Delta x_i = \frac1{16} \cdot \frac{6^2\cdot7^2}4 - \frac32 \cdot \frac{6\cdot7}2 = -\frac{63}{16} \approx \boxed{-3.938}\)

There are 5 erasers to accompany the 20 pencils based on the given ratio.

If the ratio of pencils to erasers is 4:1, and there are 20 pencils, we can determine the number of erasers by setting up a proportion.

The proportion can be written as:

pencils/erasers = 4/1

Given that there are 20 pencils, we can substitute this value into the proportion:

20/erasers = 4/1

To solve for erasers, we can cross-multiply:

\(20*1=4*erasers\)

\(20 = 4*eraser\)

Since there is only 1 unit assigned to erasers, we multiply the unit value (5) by the number of eraser units (1) to find the total number of erasers, which is 5.

Dividing both sides by 4:

20/4 = erasers

5 = erasers

Therefore, there are 5 erasers.

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(a) Basis for Col(A): {[2, 4], [4, 4]}. (b) Basis for Nul(A): {[-3/2, 0, -3/2, 1, 0], [-3/2, 0, -3/2, 0, 1]}. (c) Basis for Row(A): {[2, 6, 4, 8, 2], [0, 0, -4, -6, 0]}.

(a) To find a basis for the column space (Col(A)) of matrix A, we can perform Gaussian elimination on the matrix and identify the pivot columns. The pivot columns correspond to the linearly independent columns of A.

Performing Gaussian elimination on A, we obtain the following row-echelon form:

[ 2 6 4 8 2]

[ 0 0 -4 -6 0]

[ 0 0 0 0 0]

From the row-echelon form, we can see that the first and third columns are the pivot columns. Therefore, a basis for Col(A) is given by the columns of A corresponding to the pivot columns:

Basis for Col(A): [2, 4] and [4, 4].

(b) To find a basis for the null space (Nul(A)) of matrix A, we need to find the vectors x such that Ax = 0. These vectors represent the solutions to the homogeneous equation Ax = 0.

From the row-echelon form of A, we can see that the fourth and fifth variables are free variables. We can assign values to these variables and solve for the other variables to obtain the solutions.

Taking the fourth variable as 1 and the fifth variable as 0, we have:

-4x₃ - 6x₄ = 0, which gives us x₃ = -3/2 and x₄ = 1.

Taking the fourth variable as 0 and the fifth variable as 1, we have:

-4x₃ - 6x₄ = 0, which gives us x₃ = -3/2 and x₄ = 0.

Therefore, a basis for Nul(A) is given by the vectors [-3/2, 0, -3/2, 1, 0] and [-3/2, 0, -3/2, 0, 1].

(c) To find a basis for the row space (Row(A)) of matrix A, we can consider the non-zero rows of the row-echelon form of A. Each non-zero row represents a linearly independent equation.

From the row-echelon form, we can see that the non-zero rows are:

[ 2 6 4 8 2] and [ 0 0 -4 -6 0].

Therefore, a basis for Row(A) is given by the rows of A corresponding to the non-zero rows: Basis for Row(A): [2, 6, 4, 8, 2] and [0, 0, -4, -6, 0].

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Answer:

Answer:

-3x+5y=20

Step-by-step explanation:

Standard form is given by ax+by=c

where a , b and c are integers

here we have an equation

so we first multiply the complete equation by 5 to get rid of the fraction

Now subtract 3x from both side to get the required standard form

-3x+5y=20

Step-by-step explanation:

just move y to the side with x and move 4 to the other end

The current percentage in comparison to in the year 2000 is 88.22%.

We are given the percentage of death in the year 2000, 2015 and the difference. Now, we have to find the percentage of donors between change and the original deaths in the year 2000.

To find this, we will use the following formula -

Percentage change = Difference between the percentage change in the year 2000 to 2015 ÷ Percentage of deaths in the year 2000 ×100

Now, keep the values in formula to find the percentage change.

Percentage change = \(\frac{8.24}{9.34} *100\)

Performing division to find the percentage change

Percentage change = 0.882*100

Further performing multiplication to get the answer in the form of percentage

Percentage change = 88.22%

Hence, the comparison of difference with the percentage of donors dying from drug overdoses in 2000 is 88.22%.

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The non negative integers can be written of the form is 3281.

Given:

a7 * 3^7 a2 * 3^6 where ai {1, 0, -1}.

ai = 7,6,5,4,3,2,1,0

Total = 8

= \(3^{8}\) = 6561

= 6561 - 1 /2

= 6560/2

= 3280 is negative integers

Non negative or positive integers = 6561 - 3280 = 3281

Therefore the non negative integers can be written of the form is 3281.

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