89% means 89 out of?

Answer:

no solutions

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

equation of blue line is y = x + 2 , in slope- intercept form

with slope m = 1

equation of red line is y = x - 3 , in slope- intercept form

with slope m = 1

• Parallel lines have equal slopes

then the blue and red lines are parallel.

the solution to the system is at the point of intersection of the 2 lines

since the lines are parallel then they do not intersect each other.

thus the system shown has no solution.

Answer:

Step-by-step explanation:

(a) To find the rate of change of V at P in the direction of vector v, we need to compute the directional derivative of V at P in the direction of v, denoted by ∇v V(P).

The directional derivative of V in the direction of v is given by the dot product of the gradient of V at P with v:

∇v V(P) = ∇V(P) · v

where ∇V(P) is the gradient of V at P, which is a vector that points in the direction of the maximum rate of change of V at P, and its magnitude is the maximum rate of change at P.

To compute ∇V(P), we take the partial derivatives of V with respect to x, y, and z:

∂V/∂x = 10x - 2y + yz

∂V/∂y = -2x + xz

∂V/∂z = xy

So,

∇V(P) = (10(3) - 2(6) + (6)(4))i + (-2(3) + (3)(4))j + (3)(6)k

= 34i - 6j + 18k

The unit vector in the direction of v is

|v| = √(1^2 + 1^2 + (-1)^2) = √3

so the direction of v is

v/|v| = (1/√3)i + (1/√3)j - (1/√3)k

Therefore, the rate of change of V at P in the direction of v is

∇v V(P) = ∇V(P) · v/|v| = (34i - 6j + 18k) · ((1/√3)i + (1/√3)j - (1/√3)k)/√3

= (28√3)/3

Hence, the rate of change of V at P in the direction of v is (28√3)/3.

(b) The direction in which V changes most rapidly at P is given by the direction of the gradient vector ∇V(P). This is because the gradient vector points in the direction of the maximum rate of change of V at P, and its magnitude is the maximum rate of change.

We have already computed ∇V(P) in part (a):

∇V(P) = 34i - 6j + 18k

So the direction in which V changes most rapidly at P is the direction of the vector (34i - 6j + 18k)/|∇V(P)|, which simplifies to

(2i - (1/3)j + (2/3)k)/√3

(c) The maximum rate of change of V at P is given by the magnitude of the gradient vector ∇V(P).

We have already computed ∇V(P) in part (a):

|∇V(P)| = √(34^2 + (-6)^2 + 18^2) = 2√466

So the maximum rate of change of V at P is 2√466.

Using the z-score, mean and sample mean, the standard deviation of the sample is 7.57

A z-score describes the position of a raw score in terms of its distance from the mean when measured in standard deviation units. The z-score is positive if the value lies above the mean and negative if it lies below the mean.

The formula is given as;

z = x - μ / σ

Substituting the values into the formula;

-2.13 = 19.3 - 29 / σ

Cross multiply both sides;

-2.13σ = 19.3 - 29

-2.13σ = -9.7

Divide both sides by the coefficient;

-2.13σ / -2.13 = -9.7 / -2.13

σ = 7.57

The standard deviation is 7.57

Learn more on z-score here;

https://brainly.com/question/29367643

#SPJ1

The total volume is the one in option C, 708 cubic centimeters.

We know that this prism can be divided into two prisms, and remember that the volume of a prism is equal to the product between its dimensions.

Then the volume of the first prism is:

V = 8cm*6cm*13cm = 624 cm³

And the volume of the second prism is:

v' = 3cm*4cm*7cm = 84 cm³

Adding that we will get:

total volume =  624 cm³+  84 cm³ = 708 cm³

LEarn more about volume at:

https://brainly.com/question/1972490

#SPJ1

The information needs to be divided into class intervals in order to make a histogram. Following that, make a tally to display the frequency (or relative frequency) of the data within each interval.

Histogram Illustration

135  137   136  137  138  139

140  139   137  140  142  146

148  145    139  140  142  143

144   143   141  139   137  138

139   136   133   134  132  132

Her weight should be a histogram.

Answer

131.5-133.5

133.5-135.5

135.5-137.5

137.5-139.5

139.5-141.5

141.5-143.5

143.5-145.5

145.5-147.5

147.5-149.5

To Learn more About histogram refer to:

https://brainly.com/question/25983327

#SPJ1

Answer:

see attached

Step-by-step explanation:

Solved in attachment

Answer:

y = 3x

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - \(\frac{1}{3}\) x + 4 ← is in slope- intercept form

with slope m = - \(\frac{1}{3}\)

given a line with slope m then the slope of a line perpendicular to it is

\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{-\frac{1}{3} }\) = 3 , then

y = 3x + c ← is the partial equation

to find c substitute (- 1, - 3 ) into the partial equation

- 3 = 3(- 1) + c = - 3 + c ( add 3 to both sides )

y = 3x + 0 , that is

y = 3x

Answer:

Well the IMC 2014 is

IMC 2014 + hMc

The figure that will depict a line of reflectional symmetry of letter T is: Option C: A letter T folded vertically through the middle.

A line of reflectional symmetry is defined as an imaginary line that divides a figure into two halves in such a way that each of the halves are a mirror image of the other.

When a line divides letter T vertically, it means that two mirror images will be created.

Therefore, the figure that will depict a line of reflectional symmetry of letter T would be: A letter T folded vertically through the middle.

Read more about line of reflectional symmetry at:

brainly.com/question/10453198

#SPJ1

The scale factor of the perimeters from figure A to figure B is 1.5. Scale factor is the ratio of any two corresponding lengths in two similar figures.

Here, the two figures are similar, that is why we can find the scale factor by dividing corresponding sides of one figure by the corresponding sides of another figure. We will find the scale factor for the perimeter of figures A and B below:Perimeter of figure A = 12 + 10 + 18 = 40 unitsPerimeter of figure B = 15 + 15 + 15 = 45 unitsTo find the scale factor of the perimeters, we divide the perimeter of figure B by the perimeter of figure

A:Scale factor of the perimeters = (Perimeter of figure B)/(Perimeter of figure A) = 45/40 = 1.125To simplify any fractional answer, we have to convert it to the lowest terms, which is 9/8. The decimal answer 1.125, when rounded to the nearest tenth is 1.1. Therefore, the scale factor of the perimeters from figure A to figure B is 1.5.

For more questions on unitsPerimeter

https://brainly.com/question/30865084

#SPJ8

Answer: He doesn't have any money left that period point blank

Step-by-step explanation

7-6=1

1-3= you cant do that

so he doesn't get soda at all.

Answer:

x=3

Step-by-step explanation:

10 + 1 = 11

11 - 3 = 9

9 divided by 3 = 3

Answer:

x = 3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

3x + 1 = 10

Step 2: Solve for x

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Here we see that 10 does indeed equal 10.

∴ x = 3 is the solution to the equation.

Answer:

the answer is D, im doiing the flocab rn

Step-by-step explanation:

Answer:

C. The school band is selling raffle tickets. They have already sold 15 tickets and have 60 remaining. With how many raffle tickets did they begin? represents the equation x - 15 = 60.

Step-by-step explanation:

Have a nice day!

Answer:

\(50ft\)

Step-by-step explanation:

you have to find the missing side by subtract

\(14.8 - 7 = 7.8\)

and

\(10.2 - 4.5 = 5.7\)

then you add all these to find the perimeter

\(p = 14.8 + 4.5 + 7.8 + 5.7 + 7 + 10.2 \)

\(p = 50ft\)

do not leave out your signs

Answer:

The 2nd one

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

because when you work it out it becomes that,

 have a spectacular day

Answer:

2/9

Step-by-step explanation:

Call the unknown number n

Therefore, we can express your question in the following manner

8 * n = 4 * 9

n = 36/8

But we know that n is a reciprocal of a number, so we need to flip the numerator and denomiator in n

Answer: 8/36 = 2/9

Answer:

7 out of 8

Step-by-step explanation:

heads gets tossed and there's only 6 numbers to choose from on the die

Answer:    =0.375

Step-by-step explanation:

Actually we have to find the probability that both events will happened.

1st event the coin will be turned by a head P(head).

2nd event the number is greater than 2 , i.e. can be 3,4,5,6,7 or 8 P(a>2)

Both events  do not depend from each other. So the resulted probability

can be calculated multuplying probabilities P(head) and P(a>2) on each other. P(head, a>2)= P(head)*P(a>2)

P(head) =1/2=0.5 so the coin has 2 sides only one of them is head.

P(a>2)=6/8 so rolling the eight -sided doe 8 outcomes are possible and six of them 3,4,5,6,7 or 8 can give us the number that is bigger than 2.

P(a>2)=6/8=3/4=0.75

P(head, a>2)= P(head)*P(a>2)=0.5*0.75=0.375 ( rounding is not necessary, so we get exactle 3 digits after the point)

The dimensions of the photograph are the length= 14 in  and the width= 5 in.

The rectangle is a quadrilateral.  The classification for quadrilaterals is given by the length of sides and angles. For a rectangle,  the opposite sides are equal and parallel and their interior angles are equal to 90°.

A rectangle is a geometric figure that has 4 sides called: base and height. Due to its characteristics, the rectangle presents two bases (B) and two heights (H).

The area of a rectangle is given by the multiplication between the base and the height.

The question gives:

Thenm

A= b * h

70 = (9 +w) * w

70= 9w +w²

w²+9w-70=0

\(w_{1,\:2}=\frac{-9\pm \sqrt{9^2-4\cdot \:1\cdot \left(-70\right)}}{2\cdot \:1}\\ \\ w_{1,\:2}=\frac{-9\pm \:19}{2\cdot \:1}\)

Thus,  \(w_{1}=\frac{-9-\:19}{2\cdot \:1}=\frac{-28}{2}=-14\) and \(w_{2}=\frac{-9+\:19}{2\cdot \:1}=\frac{10}{2}=5\)

The dimensions should have positive values, then w=5.

If w=5, the length will be 5+9 = 14. With these dimensions, the area will be 14 * 5 = 70.

Read more about the area of the rectangle here:

brainly.com/question/11949392

#SPJ1

Answer:

x+63=15x-21, 14x=84, x=6, based on that NMO=69 and LMO=69 because they must be =

Step-by-step explanation:

Answer:

0.625

Step-by-step explanation:

Given :

Ambell company uses or procures batteries from two manufacturers.

The life of a battery in critical tool is at = 32 hours

Ambell uses 70% of its batteries from manufacturer 1 and out of that 90% batteries lasts for about 40 hours.

Similarly, 75% of the batteries procured from the manufacturer 2 lasts for about 40 hours.

Therefore, the probability that a battery is form manufacturer 1 is :

\($\frac{0.4 \times 0.25}{(0.6 \times0.1)+(0.4 \times 0.25)}$\)

= 0.625

\(zeros \begin{cases} x=0\implies &x=0\\ x=9\implies &x-9=0\\ x=9\implies &x-9=0 \end{cases}\qquad \implies a(x)(x-9)(x-9)=\stackrel{y}{0} \\\\\\ \stackrel{\textit{with a coefficient of 1}}{1(x)(x-9)(x-9)=y}\implies x(x-9)^2=y\implies x(x^2-18x+81)=y \\\\\\ ~\hfill {\Large \begin{array}{llll} x^3-18x^2+81x=y \end{array}}~\hfill\)

Answer:

13%

Step-by-step explanation:

Given the two way frequency table :

Country Music Rock Total

West 26 15 41

East 24 22 46

South 7 33 40

North 41 25 66

Total 98 95 193

From. The table :

n(West n Country music) = 26

n(Total) = 193

P(West n Country music) = n(West n Country music) / n(Total)

P(West n Country music) = 26 / 193

= 0.1347

= 13.47%

= 13%

Answer:

see explanation

Step-by-step explanation:

calculate slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

consider the middle dotted line

with

(x₁, y₁ ) = (- 5, - 3) and (x₂, y₂ ) = (6, 8) ← 2 points on the line

m = \(\frac{8-(-3)}{6-(-5)}\) = \(\frac{8+3}{6+5}\) = \(\frac{11}{11}\) = 1

consider the line of reflection ( the solid line )

with

(x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (- 1, 4) ← 2 points on the line

m = \(\frac{4-3}{-1-0}\) = \(\frac{1}{-1}\) = - 1

Result:

Mickey and Minnie Mouse will need to put $680.75 into their escrow account each month to cover the property taxes, homeowner's insurance, and flood insurance costs.

An escrow account is like a savings account that is managed by a mortgage servicer. The portion deposited into an escrow account usually covers estimated property taxes and your homeowners and mortgage insurance premiums.

To calculate the monthly amount Mickey and Minnie Mouse need to put into their escrow account for property taxes, homeowner's insurance, and flood insurance, we will first add up the total annual costs for these expenses:

Property taxes: $5,467

Homeowner's insurance: $1,440

Flood insurance: $1,262

Total annual costs = $5,467 + $1,440 + $1,262 = $8,169

Next, we divide the total annual costs by 12 to get the monthly escrow amount:

$8,169 / 12 = $680.75

Therefore, $680.75 is the amount they will need to put into their escrow account each month.

Learn more about an escrow account at brainly.com/question/31451423

#SPJ1

The actual distance represented by 23.7 cm on the map is 355.5 km.

To find the ratio of the amount of money Mabaso has to the amount of money Thabo has and the amount of money Ally has, we can divide each amount by the smallest amount (which is R35) to simplify the ratio.

Mabaso has R140, Thabo has R70, and Ally has R35.

The ratio of Mabaso's money to Thabo's money is:

R140 ÷ R35 = 4

The ratio of Mabaso's money to Ally's money is:

R140 ÷ R35 = 4

Therefore, the ratio of the amount of money Mabaso has to the amount of money Thabo has and to the amount of money Ally has is 4:1:1.

To calculate the percentage discount of a steel table, we need to find the difference between the original price and the discounted price, and then divide it by the original price. Finally, we multiply the result by 100 to get the percentage.

Original price: R750

Discounted price: R600

Discount: R750 - R600 = R150

Percentage discount: (R150 ÷ R750) × 100 = 20%

So, the table has a 20% discount on Black Friday.

To convert 125 grams to kilograms, we divide the amount in grams by 1,000 (since there are 1,000 grams in a kilogram).

125 g ÷ 1,000 = 0.125 kg

Therefore, 125 grams is equal to 0.125 kilograms.

If a green grocer packs 12 apples in a plastic bag and has 285 apples, we divide the total number of apples by the number of apples per bag to determine the number of bags needed.

Number of bags needed: 285 apples ÷ 12 apples/bag = 23.75 bags

Since we can't have a fraction of a bag, we round up to the nearest whole number. Therefore, the green grocer would need 24 bags.

If the scale of a map is 1,500,000 and the measurement on the map is 23.7 cm, we can use the scale to determine the actual distance.

1 cm on the map represents 1,500,000 cm in reality.

23.7 cm on the map represents x cm in reality.

x = 23.7 cm × 1,500,000 cm = 35,550,000 cm

To convert cm to km, we divide by 100,000 (since there are 100,000 cm in a kilometer).

35,550,000 cm ÷ 100,000 = 355.5 km

For more such questions on distance

https://brainly.com/question/30395212

#SPJ8

Answer:

9

Step-by-step explanation:

Answer:

Step-by-step explanation:

VZ = 44-27.5 = 16.5

ZY/VY = ⅝

WX = ⅝ of VX

VX = 36×8/5 = 57.6

VW = VX - WX = 21.6 units

The remainder is 5 + c, which means that the expression P(x) = \(5x^4 + 7x^3 - 2x^2 - 3x + c\) divided by (x + 1) results in a quotient of\(5x^3 + 2x^2 - 4x + 4\) and a remainder of 5 + c.

To divide the polynomial P(x) = \(5x^4 + 7x^3 - 2x^2 - 3x + c\) by the binomial (x + 1), we can use polynomial long division.

Let's set up the long division:

    \(5x^3 + 2x^2 - 4x + 4\)

_______________________

x + 1 | \(5x^4 + 7x^3 - 2x^2 - 3x + c\)

We start by dividing the highest degree term of the dividend (5x^4) by the divisor (x + 1), which gives us 5x^3. We then multiply this quotient by the divisor (x + 1) and subtract it from the dividend:

              \(5x^3(x + 1)\)

     _______________________

x + 1 | \(5x^4 + 7x^3 - 2x^2 - 3x + c\)

- (\(5x^3 + 5x^2)\)

This leaves us with a new polynomial:\(2x^3 - 7x^2 - 3x + c\). We repeat the process by dividing the highest degree term of this polynomial (2x^3) by the divisor (x + 1), resulting in 2x^2. We then multiply this quotient by the divisor and subtract it from the polynomial:

              \(5x^3(x + 1) + 2x^2(x + 1)\)

     _______________________

x + 1 | \(5x^4 + 7x^3 - 2x^2 - 3x + c\)

-\((5x^3 + 5x^2)\)

_______________________

\(2x^2 - 3x + c\)

We continue this process until we reach the constant term, resulting in the remainder of the division.

At this point, we have:

               \(5x^3(x + 1) + 2x^2(x + 1)\)

     _______________________

x + 1 | \(5x^4 + 7x^3 - 2x^2 - 3x + c\)

- \((5x^3 + 5x^2)\)

_______________________

\(2x^2 - 3x + c\)

-\((2x^2 + 2x)\)

_______________________

- 5x + c

- (-5x - 5)

_______________________

5 + c

For more such questions on remainder visit:

https://brainly.com/question/29347810

#SPJ8