this is urgent i need help asap

-8 = -7 + X

- 8 + 7 = X (Adding 7 to both sides of the equation)

-1 =x (Subtracting)

The answer is x=-1.

the answer of -8 = -7 +Xx is x= -1

Justin and ruby are currently sharing sweets out after school in a ratio of 1:2 respectively. after buying 20 more sweets and sharing them evenly, they now have a ratio of 3:4. So, Justin initially had 5 sweets.

Justin and Ruby initially shared sweets in a ratio of 1:2. Let's represent the number of sweets Justin had as x, and the number of sweets Ruby had as 2x. After buying 20 more sweets and sharing them evenly, the new ratio is 3:4. Now, Justin has 3y sweets and Ruby has 4y sweets.

We can write two equations based on this information:

1) x + 20/2 = 3y (because Justin received half of the 20 new sweets)
2) 2x + 20/2 = 4y (because Ruby received half of the 20 new sweets)

Simplify the equations:

1) x + 10 = 3y
2) 2x + 10 = 4y

Now, we can solve these equations simultaneously to find the value of x and y:

From equation 1, x = 3y - 10

Substitute this value of x into equation 2:

2(3y - 10) + 10 = 4y
6y - 20 + 10 = 4y
6y - 10 = 4y

Rearrange the equation to solve for y:

2y = 10
y = 5

Now that we have the value of y, we can find the value of x:

x = 3y - 10
x = 3(5) - 10
x = 15 - 10
x = 5

So, Justin initially had 5 sweets.

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Step-by-step explanation:

Hey there!

Given;

ABC is a Right angled triangle.

Taking angle "A" as reference angle, we get;

Perpendicular (p) = BC

hypotenuse (h) = 13cm

Base(b) = 8cm

We know;

\( {h}^{2} = {p}^{2} + {b}^{2} \)

\(or; \: p(BC) = \sqrt{ {h}^{2} - {b}^{2} } \)

\( BC = \sqrt{ {13}^{2} - {8}^{2} } \)

\( BC = \sqrt{169 - 64} \)

\( BC = \sqrt{105} \)

\( BC = 10.246\)

Therefore, BC = 10.246cm.

Hope it helps...

Answer:

s = 6 cm

Step-by-step explanation:

the area (A) of a square is calculated as

A = s² ( s is the side length )

given A = 36 , then

s² = 36 ( take square root of both sides )

s = \(\sqrt{36}\) = 6

Answer:

a=28/5 or 5.6

Step-by-step explanation:

2a/7=a-4

Multiple both sides of the equation by 7

2a=7a-28

Subtract 7a from both side

2a-7a=-28

Like Term

-5a=-26

Divide -5 from both side

a= 5.6

Answer:

B and E

Step-by-step explanation:

Information we need to know:

Like terms - a set of number which variables are the same

In the question we can see that there are two numbers that have the variable y and two numbers that have the variable of 0 (meaning that they are regular numbers)

Hence our options would be B and E

Hope this helps, have a lovely day! :)

The number of athletes that finished the race this year was 4284 athletes.

An equation is an expression that can be used to show the relationship between variables and numbers.

Let x represent the amount of athletes that finished the race this year.

Last year, 3,570 athletes finished the Silvergrove Marathon. This year, the number of runners crossing the finish line was 20% higher. Hence:

x = 3570 + 20% of (3570)

x = 3570 + (0.2 * 3570)

x = 4284

4284 athletes finished the race.

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a. Drawing an ace out of a deck of cards and drawing a club out of a deck of cards are not mutually exclusive events. b. Flipping heads and flipping tails on one coin toss are mutually exclusive events. c. Rolling an even number on one throw of a fair 6-sided die and rolling a number ≤3 on one throw of a fair 6-sided die are not mutually exclusive events.

a. Drawing an ace and drawing a club are not mutually exclusive because it is possible to draw an ace of clubs, which satisfies both events.

b. Flipping heads and flipping tails on one coin toss are mutually exclusive events because they cannot both occur simultaneously. Only one outcome can happen on a single coin toss.

c. Rolling an even number and rolling a number ≤3 on a fair 6-sided die are not mutually exclusive because the event of rolling a 2 satisfies both conditions.

d. Picking a red marble and picking a blue marble from a bag of marbles are mutually exclusive events because a marble cannot be both red and blue.

e. Success and failure in a Bernoulli trial are mutually exclusive events. In a Bernoulli trial, there are only two possible outcomes, and the occurrence of one event implies the non-occurrence of the other.

For mutually exclusive events, their Venn diagram representation would show two separate circles with no overlap. In other words, there would be no intersection between the two sets/events in the Venn diagram.

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The maintenance manager of a trucking firm wishes to create a regression model based on four explanatory variables: (1) annual miles travelled, (2) average load weight, (3) average driving speed, and (4) oil change interval to anticipate when the first engine overhaul will occur. Data have been acquired for a sample of 25 vehicles based on driver logs and onboard computers, Based on given information, description of asked questions are as follow-

a. The maintenance manager can estimate the time until the first engine overhaul by building a regression model using the four explanatory variables: annual miles driven, average load weight, average driving speed, and oil change interval. In regression analysis, the manager can use the sample data of 25 trucks to estimate the relationship between the explanatory variables and the time until the first engine overhaul. By fitting the data to a regression model, the manager can obtain the coefficients for each explanatory variable, indicating their impact on the time until the first engine overhaul.

This model can then be used to forecast the time until the first engine overhaul for future trucks based on their values for the explanatory variables.b-1. The competing hypotheses for testing the joint significance of the explanatory variables are as follows:

- Null hypothesis (H0): The coefficients of all four explanatory variables are equal to zero (no significant relationship).

- Alternative hypothesis (Ha): At least one of the coefficients of the explanatory variables is not equal to zero (significant relationship exists).

b-2. To determine the p-value for the test on joint significance, the manager needs to perform a statistical test, such as the F-test, to assess the overall significance of the explanatory variables. The p-value represents the probability of obtaining the observed test statistic or a more extreme value, assuming the null hypothesis is true. The specific p-value can be obtained from the F-distribution.

b-3. The conclusion to the test on joint significance depends on comparing the obtained p-value to the predetermined significance level (in this case, 10%). If the p-value is less than 0.10, the manager can reject the null hypothesis and conclude that the explanatory variables have a joint significant effect on the time until the first engine overhaul. Conversely, if the p-value is greater than or equal to 0.10, there is insufficient evidence to reject the null hypothesis, indicating that the explanatory variables do not have a joint significant effect.c-1. To assess the individual significance of the explanatory variables at the 10% significance level, the following competing hypotheses can be specified for each variable:

- Null hypothesis (H0): The coefficient of the individual explanatory variable is equal to zero (no significant relationship).

- Alternative hypothesis (Ha): The coefficient of the individual explanatory variable is not equal to zero (significant relationship exists).

c-2. To determine the p-values and conclusions for the tests on individual significance, the manager needs to perform separate statistical tests for each explanatory variable, such as t-tests. The p-value represents the probability of obtaining the observed test statistic or a more extreme value, assuming the null hypothesis is true.

If the p-value is less than 0.10, the manager can reject the null hypothesis and conclude that the individual explanatory variable is significant. On the other hand, if the p-value is greater than or equal to 0.10, there is insufficient evidence to reject the null hypothesis, indicating that the individual explanatory variable is not significant at the 10% significance level.

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Therefore, there are 4 vertices in this graph.

Let V be the number of vertices in the graph. The sum of the degrees of all vertices in an undirected graph is twice the number of edges, so in this case, the sum of degrees is 2 * 10 = 20.

We know that two vertices have degree 4, so the degrees of the remaining vertices must add up to 20 - 2 * 4 = 12.

If there are v vertices of degree 3, then the total degree contributed by those vertices is 3v, so we have:

3v + 2 * 4 = 20

3v = 12

v = 4

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Answer:

{(5,0),(0,5),(-5,-5)}

Step-by-step explanation:

It would take approximately 15.7 years for $6,000 to grow to $18,000 at a 7% continuous compound interest rate.

To find out how long it would take for $6,000 to grow to $18,000 at a 7% continuous compound interest rate, we can use the formula for continuous compound interest:

A = P * e^(rt)

Where:
A is the final amount ($18,000)
P is the principal amount ($6,000)
e is Euler's number (approximately 2.71828)
r is the interest rate (7% or 0.07)
t is the time (unknown)

Plugging in the values, we have:

$18,000 = $6,000 * e^(0.07t)

Dividing both sides by $6,000, we get:

3 = e^(0.07t)

Taking the natural logarithm of both sides, we have:

ln(3) = 0.07t

Now, we can solve for t by dividing both sides by 0.07:

t = ln(3) / 0.07 ≈ 15.7 years

So the answer is 15.7 years.

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The probability of A given B is 0, and P(A | B) is not equal to P(A). Events A and B are mutually exclusive, meaning that they cannot both occur at the same time, and thus they are not independent. Mutually exclusive events are not necessarily independent and independent events may or may not be mutually exclusive.

P(A) = 0.30 and P(B) = 0.40, so P(A and B) = 0 because the events A and B are mutually exclusive. This means that the probability of A given B is 0, and P(A | B) = 0. P(A | B) is not equal to P(A).Events A and B are mutually exclusive, meaning that they cannot both occur at the same time, and thus they are not independent.The statement that mutually exclusive events and independent events are the same is not accurate. Mutually exclusive events are not necessarily independent and vice versa.Given the results of this problem, we can conclude that mutually exclusive events are not independent, and independent events may or may not be mutually exclusive. The two concepts are not necessarily related as mutually exclusive events do not necessarily need to be independent and independent events do not necessarily need to be mutually exclusive.

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Answer:

1

step by step

if you add them up they equal each other.

Answer:

Infinitely many solutions

Step-by-step explanation:

10+4x=4x+4+6

10+4x=4x+10

4x=4x

0=0

Infinitely many solutions

Answer:

shawn sells more cars i had this question before:)

Step-by-step explanation:

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Each solid plastic cylinder with a radius of 2.51 cm and length of 5.64 cm has a charge of approximately 282.46 Coulombs.

To find the charge of each cylinder, we need to use the formula for the charge of a uniformly charged solid cylinder, which is given by Q = λ * V, where Q is the charge, λ is the charge density, and V is the volume of the cylinder.

First, we need to calculate the volume of each cylinder. The formula for the volume of a cylinder is V = π * r^2 * h, where r is the radius and h is the height or length of the cylinder.

Using the given values, we have r = 2.51 cm and h = 5.64 cm. Converting these values to meters, we get r = 0.0251 m and h = 0.0564 m.

Calculating the volume of each cylinder:

V = π * (0.0251 m)^2 * (0.0564 m) = 7.0925e-5 m^3

Now, we need to find the charge density λ. The charge density for each cylinder is given by λ = Q / V, where Q is the charge and V is the volume.

Since the radius and length are the same for all four cylinders, the charge density will also be the same. Therefore, we can calculate the charge density using one of the cylinders.

Assuming the charge density is λ, we can rearrange the formula to solve for λ:

λ = Q / V

Given that λ = 2.0 μC/m^3 (microCoulombs per cubic meter), we have:

2.0e-6 C/m^3 = Q / (7.0925e-5 m^3)

Solving for Q:

Q = (2.0e-6 C/m^3) * (7.0925e-5 m^3)

Q = 1.4185e-10 C

Therefore, the charge of each cylinder is 1.4185e-10 C, which is approximately equal to 282.46 Coulombs.

Each solid plastic cylinder with a radius of 2.51 cm and length of 5.64 cm has a charge of approximately 282.46 Coulombs. This calculation is based on the given charge density of 2.0 μC/m^3 and the formula for the charge of a uniformly charged solid cylinder.

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Assumptions: For the purpose of this exercise, let's assume that we are analyzing defects in a manufacturing process. We will invent data for five different categories of defects and their corresponding frequencies. the cumulative percentage for each category, we find that the top 20% category of defects is Category A.

a. Based on the invented data, the histogram analysis reveals the following distribution of defects and their frequencies:

Category A: 50 defects

Category B: 30 defects

Category C: 20 defects

Category D: 15 defects

Category E: 10 defects

To identify the top 20% of the category of defects contributing to 80% of the total volume, we calculate the cumulative frequency. Starting with the category with the highest frequency, we add up the frequencies until we reach 80% of the total. In this case, Category A contributes the highest frequency, and its cumulative frequency is 50. The total number of defects is 125 (50 + 30 + 20 + 15 + 10). By calculating the cumulative percentage for each category, we find that the top 20% category of defects is Category A.

b. Performing a Root Cause Analysis for the Top Contributing Factor (Category A) using the 5-Why method or Fishbone diagram helps determine the underlying causes. We identify potential factors such as equipment malfunction, operator error, insufficient training, or process variability. By asking "why" repeatedly, we dig deeper into each cause to uncover the root cause.

c. Based on the analysis, we develop a corrective action plan and preventive action plan. For example:

Corrective Action Plan: Assign qualified technicians to regularly inspect and maintain the equipment, conduct additional training for operators to enhance their skills, and implement process control measures to reduce variability.

Preventive Action Plan: Establish a preventive maintenance schedule for equipment, implement a comprehensive training program for all operators, and conduct regular process audits to identify and address potential issues proactively.

The corrective and preventive action plans should clearly define the tasks, responsibilities, and timelines. The maintenance department may be responsible for equipment maintenance, the training department for operator training, and the quality department for process audits. Regular monitoring and evaluation of the action plans should be conducted to ensure effectiveness and make any necessary adjustments.

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The probability of selecting a value between 0.25 and 0.65 is 0.4.

To find the probability of selecting a value between 0.25 and 0.65 using the random number generator, we need to determine the range of values that satisfy this condition and calculate the ratio of that range to the total possible range (0 to 1).

The range between 0.25 and 0.65 is 0.65 - 0.25 = 0.4. This means there are 0.4 units of possible values within that range.

The total range of possible values is 1 - 0 = 1.

To find the probability, we divide the range of values between 0.25 and 0.65 by the total range:

Probability = (Range of values between 0.25 and 0.65) / (Total range of values)

           = 0.4 / 1

           = 0.4

Therefore, the probability of selecting a value between 0.25 and 0.65 is 0.4.

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Answer: 2x+5y=50

Step-by-step explanation:

x=number of 2-ounce weights

y=number of 5-ounce weights

Because of this you will write the total weight (50) is equal to __. On the other end you will multiply the possible number of 2-ounce weights to 2 because this will give you the weight for the 2 ounce. The same is done for the 5-ounce weights. Once you combine both of them you would get the total weight. Which is why 2x+5y=50 is the answer.

Answer: 26.4 ft.

Step-by-step explanation: To find the numerical value of 8 meters in feet you need to use unit multipliers. In this case, you need to multiply 8 meters by 3.3 ft / 1 meter. This would cancel out the meters, making the unit feet. 8*3.3 = 26.4, so the answer is 26.4 ft.

Answer:

17,453.30 feet

Step-by-step explanation:

Answer:

90

35

55

Step-by-step explanation:

Notice* No options are provided, so I will solve the expression.

Answer:

\(\frac{125x+96}{4}\)

Step-by-step explanation:

Step 1: Simplify \(\frac{4}{5}\)

Step 2: Rewriting the whole as an Equivalent Fraction

 Subtracting a fraction from a whole

Rewrite the whole as a fraction using  5  as the denominator :

5x = 5x/1 = 5x * 5/5

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

dding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

5x • 5 - (4)     25x - 4

--------------    =    ---------

5                        5  

Step 3: Simplify 25/4

Rewriting the whole as an Equivalent Fraction :

Adding a whole to a fraction

Rewrite the whole as a fraction using  4  as the denominator :

29 = 29/1 = 29 * 4/4

Adding fractions that have a common denominator :

Adding up the two equivalent fractions

5 • (25x-4) + 29 • 4     125x + 96

---------------------------  =     -----------

4                                             4    

Final result :

 125x + 96

 —————————

     4    

___________

Terms and topics:

Let's calculate the products and check if they indeed have the same value:

Product of 32 and 46:

32 * 46 = 1,472

Reverse the digits of 23 and 64:

23 * 64 = 1,472

As you mentioned, the products are the same. This phenomenon is not unique to this particular pair of numbers. In fact, it occurs with any pair of two-digit numbers whose digits, when reversed, are the same as the product of the original numbers.

To find two other pairs of two-digit numbers that have this property, we can explore a few examples:

Product of 13 and 62:

13 * 62 = 806

Reversed digits: 31 * 26 = 806

Product of 17 and 83:

17 * 83 = 1,411

Reversed digits: 71 * 38 = 1,411

As for determining if a given pair of two-digit numbers will have this property without actually performing the multiplication, there is a simple rule. For any pair of two-digit numbers (AB and CD), if the sum of A and D equals the sum of B and C, then the products of the original and reversed digits will be the same.

For example, let's consider the pair 25 and 79:

A = 2, B = 5, C = 7, D = 9

The sum of A and D is 2 + 9 = 11, and the sum of B and C is 5 + 7 = 12. Since the sums are not equal (11 ≠ 12), we can determine that the products of the original and reversed digits will not be the same for this pair.

Therefore, by checking the sums of the digits in the two-digit numbers, we can determine whether they will have the property of the products being the same when digits are reversed.

Answer:

Step-by-step explanation:

r = 50

Circumference = 2πr

                          \(= 2 * 3.14 * 50\\\\= 314 \ ft\)

the outward flux for the vector field F is 2/3.

Green's Theorem:The line integral of a vector field F along a simple closed curve C in the plane is equivalent to the double integral of the curl of F over the region D bounded by C.

The counterclockwise circulation is equivalent to the line integral of a vector field F along a curve C in the plane.

The outward flux is equivalent to the line integral of a vector field F along the curve C in the plane and is also equivalent to the double integral of the divergence of F over the region R bounded by C.

Next, we will use Green's Theorem to find the outward flux for the given vector field F.

Green's Theorem is given by:∫(C) F·ds=\(∫∫(R) (∂Q/∂x - ∂P/∂y)dA,\)

where P and Q are the components of the vector field F and R is the region bounded by the curve C. We can write F as:F=(3y²−8x²)i+(8x²+3y²)jP=3y²−8x², Q=8x²+3y²

Now, we need to find the partial derivatives of P and Q with respect to x and y:∂P/∂y=0, ∂Q/∂x=16x

The double integral over the region R becomes:∫∫(R) (∂Q/∂x - ∂P/∂y)dA=∫[0,1] ∫[0,x] 16x dy dx=∫[0,1] 8x² dx=2(1³-0³)/3=2/3

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Square is consider as the king of all the quadrilaterals.

Explanation:

Square is consider as the king of all the quadrilaterals:

Therefore, square shape is consider as the king of all the quadrilaterals.

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