Solve by factoring 6x^2=3-7x

The missing code that can replace to assign the total of all values in purchase List to sum, is: REPEAT UNTIL (n > purchaseList.length)

The syntax for a REPEAT UNTIL loop in most programming languages is as follows:

REPEAT {

// code to be executed

} UNTIL (condition)

or

DO {

// code to be executed

} UNTIL (condition)

Looping is a programming construct that allows a certain block of code to be executed repeatedly. The two main types of loops are for loops and while loops.

A for loop is used to execute a block of code a specified number of times. It typically starts with a variable initialization, then a condition is checked, and if the condition is true, the code block inside the loop is executed, and then the variable is updated.

The missing code that can replace the empty parentheses in the REPEAT UNTIL statement to assign the total of all values in purchase List to sum, is:

REPEAT UNTIL (n > purchaseList.length)

This means that the loop will continue to execute until the value of n is greater than the length of the purchaseList. In each iteration, the value of purchaseList[n] is added to the sum, and then n is incremented by 1. So, this loop will iterate through all the elements in the purchaseList, adding each one to the sum, until it reaches the end of the list. This will give the total sum of all purchases made in the last month.

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Answer:

undefined

Step-by-step explanation:

To find the slope, we can use the slope formula

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

   = (-9-7)/(5-5)

   = (-16)/0

When we divide by zero, the slope is undefined

The length of the rectangle is 7 cm and the width is 5 cm.

The whole distance covered by the rectangle's borders or its sides is known as its perimeter. As we know the rectangle will have 4 sides then the perimeter of the rectangle will be equal to the total of its four sides. And the unit will be in meters, centimeters, inches, feet, etc.        

The formula for the Perimeter of the rectangle is given by

Here we have

The length of a rectangle is 2cm greater than the width of the rectangle

And perimeter of the rectangle = 24 cm

Let x be the width of the rectangle

From the given data,

Length of the rectangle = (x + 2) cm  

As we know Perimeter of rectangle = 2(Length+width)

=> Perimeter of rectangle = 2(x+2 + x) = 2(2x +2)

From the given data,

Perimeter of rectangle =  24cm

=> 2(2x +2) = 24 cm

=> (2x +2) = 12     [ Divided by 2 into both sides ]

=>  2x = 12 - 2

=>  2x = 10

=>   x = 5         [ divided by 2 into both sides ]  

Length of rectangle, (x+2) = 5 + 2 = 7 cm

Therefore,

The length of the rectangle is 7 cm and the width is 5 cm.

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For vectors \(\(\overrightarrow a\)\) and \(\(\overrightarrow b\)\) , the cross product is given as:

\(\[\overrightarrow a \times \overrightarrow b= \begin{vmatrix}\ i & j & k \\a_1 & a_2 & a_3 \\b_1 & b_2 & b_3 \end{vmatrix}\]\)

where i, j, k are the unit vectors, a1, a2, a3, b1, b2, b3 are the components of the vectors \(\(\overrightarrow a\) and \(\overrightarrow b\)\)respectively.

Question 1: Given the vectors

\(\( a=i-2 j+3 \boldsymbol{k} \) and \( \boldsymbol{b}=-2 \boldsymbol{i}+3 \boldsymbol{j}-\boldsymbol{k} \\)).

Find a.\(\( \boldsymbol{a} \times \boldsymbol{b}\)

Given that vectors \(\(\overrightarrow a= i-2j+3k \)and \(\overrightarrow b= -2i+3j-k \)\)

We are to find the vector a × b Using the cross product formula,

we get,

\(\[\overrightarrow a \times \overrightarrow b= \begin{vmatrix}\ i & j & k \\1 & -2 & 3 \\-2 & 3 & -1 \end{vmatrix}\]\)

Evaluating the determinant, we get\(\[\begin{aligned}\ \overrightarrow a \times \overrightarrow b & = \left(i\left(3\right) -j\left(-1\right) +k\left(9\right)\right)\mathbf{i} -\left(i\left(-2\right) -j\left(-2\right) +k\left(-2\right)\right)\mathbf{j} \\&\quad +\left(i\left(3\right) -j\left(-4\right) +k\left(-5\right)\right)\mathbf{k} \\& = \mathbf{3i+6j-15k}\end{aligned}\]\)

We are given two vectors \(\(\overrightarrow a\)\)and \(\(\overrightarrow b\)\) in component form.

We were supposed to find the vector cross product of the two vectors.

The cross product of two vectors is another vector that is perpendicular to the given vectors. That is, the dot product of the resultant vector and any of the given vectors is zero.

For vectors \(\(\overrightarrow a\)\) and \(\(\overrightarrow b\)\) , the cross product is given as:

\(\[\overrightarrow a \times \overrightarrow b= \begin{vmatrix}\ i & j & k \\a_1 & a_2 & a_3 \\b_1 & b_2 & b_3 \end{vmatrix}\]\)

where i, j, k are the unit vectors, a1, a2, a3, b1, b2, b3 are the components of the vectors \(\(\overrightarrow a\) and \(\overrightarrow b\)\)respectively.

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Answer:

The variable 8. Equation is 16 + 12x = 112.

Step-by-step explanation:

We know that she spent $16 dollars on magazines, so we can put it in the equation (16 + x= ?). We also know that the total is $112, so we can also add that (16+ x= 112). We don't know how many books she got, but we do know how much they cost (16 + 12x=112. So that makes  the books the variable (X).

To find the variable we need to take out the magazines from the price. 112-16=96. Now we're left with 12x=96. Now all we have to do is divide 96 by 12, which equals 8.

Sorry everything is so long, I tried to make it short as possible

The p-value represents the probability of observing a sample mean as extreme as, or more extreme than, the one obtained, assuming the null hypothesis is true.

To determine whether the population mean life span for Honolulu is less than 77 years, we can conduct a hypothesis test using the given information. Let's set up the hypotheses:

Null Hypothesis (H0): The population mean life span for Honolulu is greater than or equal to 77 years.

Alternative Hypothesis (Ha): The population mean life span for Honolulu is less than 77 years.

To find the p-value, we would need additional information such as the sample mean and standard deviation. Without those values, we cannot directly calculate the p-value. However, we can describe the process of hypothesis testing.

To test the hypothesis, we would collect a sample of life spans in Honolulu, calculate the sample mean and standard deviation, and perform a one-sample t-test or z-test depending on the sample size and information available. This test would yield a test statistic and corresponding p-value.

A small p-value (less than the significance level, typically 0.05) would provide evidence to reject the null hypothesis in favor of the alternative hypothesis, suggesting that the population mean life span for Honolulu is indeed less than 77 years.

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Answer:

(-3, 1) and (2, -1)

Step-by-step explanation:

We'll just substitute in these coordinates.

First Pair:

2(-3) + 5(1) = -1

-6 + 5 = -1

-1 = -1

This works!

Second Pair:

2(5) + 5(-3) = -1

10 - 15 = -1

-5 ≠ -1

This does not work.

Third Pair:

2(2) + 5(-1) = -1

4 - 5  = -1

-1 = -1

This also works!

Fourth Pair:

2(-4) + 5(2) = -1

-8 + 10 = -1

2 ≠ -1

This does not work.

Answer:

Step-by-step explanation:

4 1/2 = 9/2 improper fraction

Answer: 9/2

Step-by-step explanation:

Hello!

\(\large\boxed{\frac{19}{30}}\)

There are 60 minutes in an hour, so:

38 / 60

Reduce the fraction by diving by the GCF, or 2:

(38/2) / (60/2) = 19 / 30.

Answer:

Step-by-step explanation:

a) The average selling price in Bloomington is $301,596.27.

b) The average and standard deviation of the square footage of houses in Bloomington are 2,164.57 sqft and 954.61 sqft, respectively.

c) There are 98 houses made primarily of brick and 102 not.

d) There is a positive moderate relationship between selling price and square footage of houses in Bloomington.

e) On average, houses in newer neighborhoods have a higher selling price than more traditional ones.

The descriptive analysis in Bloomington has given the following insights: The average selling price in Bloomington is $301,596.27. The average and standard deviation of the square footage of houses in Bloomington are 2,164.57 sqft and 954.61 sqft, respectively. There are 98 houses made primarily of brick and 102 not. There is a positive moderate relationship between selling price and square footage of houses in Bloomington. On average, houses in newer neighborhoods have a higher selling price than more traditional ones.

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The area of the parallelogram is √94 square units.

To find the area of the parallelogram formed by the given vertices, we can use the cross product of two vectors formed by the sides of the parallelogram.

Let's consider vectors AB and AD. The cross product of these vectors will give us a vector whose magnitude represents the area of the parallelogram.

Vector AB can be obtained by subtracting the coordinates of point A from point B:

AB = B - A = (1, 7, 2) - (1, 0, -1) = (0, 7, 3)

Vector AD can be obtained by subtracting the coordinates of point A from point D:

AD = D - A = (0, 3, 2) - (1, 0, -1) = (-1, 3, 3)

Now, we calculate the cross product of AB and AD:

AB × AD = (0, 7, 3) × (-1, 3, 3)

The cross product can be calculated as follows:

i-component = (7 * 3) - (3 * 3) = 6

j-component = (3 * (-1)) - (0 * 3) = -3

k-component = (0 * 3) - (7 * (-1)) = 7

So, AB × AD = (6, -3, 7)

The magnitude of AB × AD gives us the area of the parallelogram:

Area = |AB × AD| = √(6² + (-3)² + 7²) = √(36 + 9 + 49) = √94

Therefore, the area of the parallelogram formed by the given vertices A, B, C, and D is √94 square units.

Correct Question :

Find the area of the parallelogram whose vertices are given:

A (1,0,-1), B(1,7,2), C(2,4,-1), D (0,3,2)

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The result of hypothesis test on the given data null hypothesis is accepted and alternate hypothesis is rejected.

Hypothesis testing is a type of measurable deduction that utilizes information from an example to make determinations about a populace boundary or a populace probability distribution. Initial, a conditional supposition that is made about the boundary or dispersion. This supposition that is known as the invalid speculation and is meant by H0.

We have,

mean(X) = 162, n = 20 , standard deviation(σ) = 45,

Let us consider Null hypothesis H₀: μ=145

And alternate hypothesis Hₐ : μ\(\neq\) 145

So, Z = X -  μ/σ/√n

Z = 162 - 145/45/√20 = 1.68

Now Level of significance(α)= 0.05

From the Z table,

Z = 1.96

So,  1.68 < 1.96

Thus, Null hypothesis is accepted and alternate hypothesis is rejected.

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Answer: Black

Step-by-step explanation: I feel like the higher the line is on the graph, the farther they have moved, so since the black line is the lowest, it might be Noah.

Hope this helps!

Answer:

-5x - 8

Step-by-step explanation:

3x + 7 - 8x - 15​

Combine like terms.

3x and -8x are like terms.

7 and -15 are like terms.

3x + 7 - 8x - 15​ =

= -5x - 8

The cost of four and three-fourths pounds of beef is $18.95.

Given,

Amount of beef purchased = 4 and 3/4th  pounds.

Cost of beef per pound = $3.99

We need to find how much four and three-fourths pounds of beef cost.

Find the cost of 1 pound of beef.

1 pound = $3.99

We can write four and three-fourths as:

= 4 3/4

= 19/4

Find the cost of 19/4 pounds of beef.

1 pound = $3.99

Multiplying by 19/4 on both sides.

19/4  x 1 pound = 19/4 x $3.99

19/4 pounds =$18.95

Thus the cost of four and three-fourths pounds of beef is $18.95.

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There were 1.4 pounds of honey in each jar.

Since unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Given that Jasmine extracted 5.6 pounds of honey from a beehive. She divided the honey evenly into 4 jars.

Thus, divided 5.6/4

In each jar there would be; 1.4 pounds.

Now multiplying 1.4 by 4

1.4/4 =  5.6.

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Answer:

-0.80

1.66

0.26

2.56

-0.50

Step-by-step explanation:

The values are the probability values either to the right or left of a given z - value ;

The Z - values could be obtained using the standard normal distribution table or a calculator :

Using the Z probability calculator ;

Area to the left of z is 0.2119

1.)

P(z < z) = 0.2119

z = - 0.8

2.)

Area between - z and z = 0.9030

Area to the left of z = 0.9030 plus

Area to the right of z = (1 - 0.9030) / 2 = 0.097/2 = 0.0485

(0.9030 + 0.0485) = 0.9515

P(z < z) = 0.9515

z = 1.66

3.)

Area between - z and z = 0.2052

Area to the left of z = 0.2052 plus

Area to the right of z = (1 - 0.2052) / 2 = 0.7948/2 = 0.3974

(0.2052 + 0.3974) = 0.6026

P(z < z) = 0.6026

z = 0.26

D.)

The area to the left of z is .9948

P(Z < z) = 0.9948

z = 2.562

E.)

The area to the right of z is .6915.

P(Z < z) = 1 - 0.6915

P(Z < z) = 0.3085

z = - 0.5

To solve this, all you need to do is compare the ratio to the amount of SUVS there are.

5/9 (SUVs to sedans)

140/? (SUVs to sedans)

140 ÷ 5 = 28

9 x 28 = 252

140/252

There are 252 sedans in the car dealership! :D

Answer:

252 Sedans

Step-by-step explanation:

your welcome ;)

Answer:

\(y = \frac{ 3}{4} x - 3 \\ \)

Step-by-step explanation:

to find the equation for given 2 point, we need to first find the gradient of these 2 point, then use the gradient and one of the given point to find the equation

\(m = \frac{3 - ( - 6)}{8 - ( - 4)} = \frac{9}{12} = \frac{3}{4} \\ y - 3 = \frac{3}{4} (x - 8) \\ y = \frac{3}{4} x - 6 + 3 \\ y = \frac{3}{4} x - 3\)

Answer:

ans is 42635 when expressed in standard form

Step-by-step explanation:

Answer:104

Step-by-step explanation:

125 – 25 + 5 – 1=105

I hope this helped :))

In  Arithmetic Progression , 56 inches of snowfall will cause the snowplow to be immobile.

What is Arithmetic Progression in math?

Let x inches of snowfall will cause the showplow to be immobile .

By a.p. formula ,

                aₙ = a + ( n - 1) d

                 aₙ= 0 ( show plow's speed is 0 ,miles/hour )

              a = 39

              n = x inches

             d = - 2.5 mile/hour

         0 = 39 + ( n - 1 ) ( -2.5)

            ( n - 1 ) ( -2.5) = -39

              n- 1 = -39/2.5 = 15.6

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Answer:

According to the "Triangle TheOrem", a triangles interior angles are always a 180°.

Therefore, to find the last remaining angle of the triangle, you will have to find the measure of the bottom angles (65° + 65° = 130°) THEN subtract 180° by 130°

65°  +  65° = 130° (measures of the two bottom angles)

180° - 130° (to find the remaining angle!) = 50°

ANSWER = 50°

Hope I helped! ^^

Answer:

8 is congruent 9 isnt

Step-by-step explanation:

Answer: 8. is Congruent and 9. Isn't Congruent

Step-by-step explanation:

Hi, I'm happy to help!

To solve this, we need to find the distance in x coordinate values, y coordinate values, then use the Pythagorean Theorem to solve for the distance.

First, let's find the distance in x coordinate values. Our first x coordinate value is -6, and our second is 2. From here, we subtract.

-6-2=-8

Since we have a negative number, we use absolute value, which says how far the number is from 0.

I-8I

8

The distance in x coordinate values is 8.

Next, we find the distance in y coordinate values. our first y coordinate is -5, and our second is 0, now, let's subtract.

-5-0=-5

I-5I

5

The distance in y coordinate values is 5.

From here, we use the Pythagorean Theorem, which states that a²+b²=c².

This has to do with right triangles. Think about drawing a line down to the y coordinate of the other point, then to the x coordinate. Now, drawing a line straight from point to point. Now, you have a right triangle, and we are trying to find c, the direct distance of the line going from point to point. Let's say that our x distance is a, and our y distance is b.

Let's plug in the values:

8²+5²=c²

64+25=c²

89=c²

To find c, we need to find the square root of 89.

√89=c

9.433981132...=c

Since this number goes on forever, we need to round.

Rounding to the nearest thousandth:

9.434

Nearest hundredth:

9.43

Nearest tenth:

9.4

Depending on what the question asks, use one of these values.

To conclude, The distance between the two points is about 9.43 units.

I hope this was helpful, keep learning! :)

Answer:

-15 (let me know if I was wrong)

Step-by-step explanation:

− 3 × (− 8 + 9) − 12

-3x1-12

-3-12

-15

Answer: -15

Use PEMDAS (parentheses, exponents, multiplication and division, addition and subtraction).

-3 x (9-8) - 12

-3 x 1 - 12

-3 - 12

- 15

:)

The measure of the angle N to the nearest degree for the given triangle is 23 degrees.

Degree and radian both serve as angles' units of measurement in geometry. Two radians (in radians) or 360° can be used to symbolise one whole anticlockwise rotation (in degrees). As a result, degree and radian can be compared as follows:

2π = 360°

The given triangle is an right triangle.

Using the trigonometric functions we can write the relation between the segments as:

Sin (N) = 1.5 / 3.9 = opposite/hypotenuse

N = arcsin (1.5 / 3.9)

N = 22.61 = 23 degrees.

Hence, the measure of the angle N to the nearest degree for the given triangle is 23 degrees.

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According to Baddeley and Hitch's research, the most important factor in determining whether rugby players will remember a particular game is the amount of time that has elapsed since the game was played.

Specifically, players were more likely to remember games that occurred early in the season and those that were particularly important or emotionally charged, while they were less likely to remember games that occurred later in the season or those that were less meaningful or emotionally significant.

This phenomenon is known as the "serial position effect" and has been observed in other contexts as well.

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Answer:

$54

Step-by-step explanation:

\(42/7=6\\48/8=6\\x/9=6\\x=54\)

Hope this helped :D

Answer: $54

Step-by-step explanation:

if we divide 42 by 7, or we divide 48 by 8, we can see that it is 6. so, one shirt costs $6. then, we just multiply 9 (the amount of shirts) by 6 (the cost of a shirt), and we get 54.