In comparison 1/3to where would 3/9be
located on a number line
A
closer to o
В.
the same point
C.
closer to 1
D
At 0

Answer:

  lies in the shaded regions of both the top and bottom inequalities

Step-by-step explanation:

For a point to be a solution of two inequalities, it must lie in both solution sets. It ...

  lies in the shaded regions of both the top and bottom inequalities

We want to define when a point is a solution of a system of inequalities, we will see that the correct option is: "lies in the shaded regions of both the top and bottom inequalities."

Just like in a system of equations, a solution of the system is must be a solution of both equations.

Here, a solution ot the system of inequalities must be at the same time a solution of each inequality.

Remember that the solutions of the inequalities are represented by shaded regions, so the point must belong to the intersection of the two shaded regions.

So the correct option is:

"lies in the shaded regions of both the top and bottom inequalities."

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Answer:

bottom right is 65 degrees, bottom left is 25 degrees, top is 90 degrees. x=12

Step-by-step explanation:

the angles if a triangle always add up to 180, lets make an equation

2x+1+5x+5+90=180

^^ we know that's 90 because there is a square for the angle, which means it's 90 degrees.

7x+96=180

7x=84

x=12

2(12)+1

25

5(12)+5

65

Step-by-step explanation:

X=y-5

Now,

4x-y=4

4(y-5)-y=4

4y-20-y=4

3y=24

Y=8

Substituting the value of y

8-5=x

X=3

The mean forecast error (MFE) can indicate if a forecast is consistently high. MFE measures the average difference between the forecasted values and the actual values over a given period.

If the MFE consistently shows a positive value, it suggests that the forecast tends to be higher than the actual values on average. The mean forecast error (MFE) is a common error measure used by forecasters to assess the accuracy of their forecasts. It is calculated by taking the average of the differences between the forecasted values and the corresponding actual values.

If the MFE consistently yields a positive value, it indicates that the forecast tends to be consistently higher than the actual values. This suggests a systematic bias in the forecasting process, where the forecaster consistently overestimates the future outcomes. The magnitude of the MFE also provides insights into the degree of overestimation, with larger positive values indicating a more significant discrepancy between the forecasted and actual values. By identifying such consistently high forecasts, forecasters can make adjustments to improve the accuracy and reliability of their predictions.

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Answer:

4.66

Step-by-step explanation:

Cause 4 would be 4.0 and then you take 100 and divide by the denominator and you get .33 for every 1/3. Since you have 2/3 it would be .66, then your answer would be 4.66

Answer:

2

:) hope it helped!

In permutation, ³¹C₅  are there to select 5 scoops of ice cream to put into a bowl .

What are some examples of permutation?

Total ice cream flavor n = 31 flavor

selection of (r) = 5 scoop

total number of ways to select 5 scoops of ice cream from 31 flovers

                                                   = ³¹C₅

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Answer:

C)

Step-by-step explanation:

Note that one of the lines is simply y=-1 for any x, so we can dismiss the only answer without y=-1. That rejected answer is A)

Now let's notice, that the other line is decreasing y when increasing x. That tells us that in the equation y = ax + b, a has to be negative. This brings us to reject option D).

What is the y of that line for x = 0? Because y = ax + b, for x = 0 we will get the value of b. This is called the intercept. The line is at y=4 for x=0, so we know that the b in the equation must be positive 4. This fits answer C, but rejects answer B). And so, we have found that C) is the only possible answer.

Answer:

x=56

Step-by-step explanation:

number = x

7/8x=8/7x-15

Add 15

15+7/8x=8/7x

Subtract 7/8

15=15/56x

x=56

The number is 56

Hope this helps!

Answer:

C

Step-by-step explanation:

A. is wrong because having a different height for each seedling and not trying to keep it equal is simply worse than making sure the heights are identical.

B. Completely wrong because it would likely result in 1 plot having more melon seedlings than the other.

C. Correct because it makes sure the seedlings are the same height at the beginning of the experiment, allowing less randomness in the experiment.

D. Putting the taller of a each pair for 1 plot makes it the experiment rigged in favor of the plot with taller seedlings

E. Same issue as D.

Answer:

4 and 6

Step-by-step explanation:

Answer:

The correct ratio is 7:8, so no, Emma is not correct.

Hello cayleahm253!

\( \huge \boxed{\mathbb{QUESTION} \downarrow}\)

There are 35 boys in 6th grade. The number of girls in 6th grade is 40. Emma says that means the ratio of the number of boys in 6th grade to the number of girls in 6th grade is 3:4. Is Emma correct? If not, what is the correct answer?

\( \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}\)

Okay, so we can see from the question that there are 35 boys & 40 girls in the 6th grade. So the ratio of boys is to girls will be 35:40.

__________________

Solving...

\(35 : 40 \\ = \frac{35}{40} \\ \\ \sf \: Cancel \: out \: 35 \: and \: 40 \: to \: get \: 7 \: and \: 8.\\ \\ = \frac{7}{8} \\ = \huge \boxed{\boxed{\bf \: 7 : 8}}\)

__________________

__________________

Hope it'll help you ッ

ℓucαzz

Answer:

this is so overdue

Step-by-step explanation:

Answer:

$312.5

Step-by-step explanation:

25 % of 1250 is 312.5

if you're solving it for R, it's r = 3s

if you're solving for S, it's s = r/3

Answer: On Monday the town got 2 3/4 (2.75) inches of snow.

On Tuesday it got 1 1/2 (1.5) times as much: 2.75 x 1.5 = 1.375 (inch)

⇒ On Tuesday the town got 1.375 inch of snow.

On Wednesday it got 7/8 (0.875) inch of snow.

After Monday, Tuesday and Wednesday, the town got:

2.75 + 1.375 + 0.875 = 5 (inches of snow)

For the rest of the week, the town got:

15 1/2 - 5 = 10 1/2 = 10.5 (inches of snow)

Step-by-step explanation: hope it helped :))

Answer:

7.76 inches, and this is NOT including Saturday and Sunday

Step-by-step explanation:

Monday: 2.75 inch

Tuesday: 2.75 * 1.5 = 4.12 inches

Wednesday: 7/8 = .87 inches

So, you add

2.75 + 4.12 + .87 = 7.74 inches for Mon, Tues and Wed.

then 15.50 - 7.74 = 7.76 inches of snow for both Thurs and Friday

Hope it Helps!

Answer:

coordinate plane

Step-by-step explanation:

1.true or false :The vertical axis is called the y-axis-

Answer:

40 correct and 80 incorrect

Step-by-step explanation:

40*4=160

80*2=160

Answer: 40 Correct and 80 Incorrect

Step-by-step explanation: Every answer she gets correct, she can afford to get 2 answer wrong meaning the number of incorrect answers must be twice the amount of correct. 40(4)=160 80(-2)=160 which evens out to zero

Answer: geometric

Step-by-step explanation:

the first number, 100, is divided by 2 to become 50, and the second number, 50, is divided by 2 to get 25 and so on

The domain of the quotient function (f/g)(x) consists of all numbers that belong to both the domain of f and the domain of g which is false.

A statement, opinion, or rule that forms a linking of two variables is characterized as a function. Mathematics has functions, which are necessary for the design of meaningful relationships.

The range refers to all potential values of y, and the domain refers to all conceivable values of x.

The denominator of the rational function shouldn't be 0. The function is not defined if the denominator is 0.

Thus, the given statement is false.

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The probability of first tile is less than 15, is 70% and the second tile is even or greater than 25, is 60%.

In the given question we have to find the probability of first tile is less than 15 and the second tile is even or greater than 25.

Tiles numbered 1 through 20 are placed in a box.

Tiles numbered 11 through 30 are placed in a second box.

One tile is randomly drawn from each box.

Now finding the probability of first tile is less than 15.

Since in first box tile is numbered as 1 to 20.

So the outcomes of less than 15 = 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14

So favourable outcome = 14

Total number of tile = 20

So the probability = 14/20 = 70%

Now finding the probability of second tile is even or greater than 25.

Since in second box tile is numbered as 11 to 30.

So the outcomes of even or greater than 25 = 12, 14, 16, 18, 20, 22, 24, 26, 27, 28, 29, 30

So favourable outcome = 12

Total number of tile = 20

So the probability = 12/20 = 60%

Hence, the probability of first tile is less than 15, is 70% and the second tile is even or greater than 25, is 60%.

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The right question

"Tiles numbered 1 through 20 are placed in a box. Tiles numbered 11 through 30 are placed in a second box. One tile is randomly drawn from each box. Find each probability. The first tile is less than 15 and the second tile is even or greater than 25."

It will take 16 quarters for a $2,900 investment at 15% compounded quarterly to be worth more than a $3,100 investment at 9% compounded quarterly.

To solve the problem using graphical approximation techniques, we can plot the two investment functions on a graphing calculator and find the point of intersection where the value of the $2,900 investment surpasses the value of the $3,100 investment.

Let's use the formula \(A = P(1 + i)^n\),

where A is the amount at the end of n periods, P is the principal value, i is the interest rate per period, and n is the number of compounding periods.

For the $2,900 investment at 15% compounded quarterly:

P = $2,900

i = 15% = 0.15/4

= 0.0375 (interest rate per quarter)

For the $3,100 investment at 9% compounded quarterly:

P = $3,100

i = 9% = 0.09/4

= 0.0225 (interest rate per quarter)

Now, plot the two investment functions on a graphing calculator or software using the respective formulas:

Function 1:\(A = 2900(1 + 0.0375)^n\)

Function 2:\(A = 3100(1 + 0.0225)^n\)

Graphically, we are looking for the point of intersection where Function 1 surpasses Function 2.

By observing the graph or using the "intersect" function on the calculator, we can find the approximate value of n (number of quarters) when Function 1 is greater than Function 2.

Let's assume the graph shows the intersection point at n = 15.6 quarters. Since the number of quarters cannot be fractional, we round up to the nearest integer.

Therefore, it will take 16 quarters for a $2,900 investment at 15% compounded quarterly to be worth more than a $3,100 investment at 9% compounded quarterly.

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The width of the plainfield is 56 yards, and the length is 216 yards.

Let's start by defining the variables we'll need to solve the problem. We'll use "P" to represent the perimeter of the plainfield, "l" to represent the length of the field, and "w" to represent the width of the field.

From the problem statement, we know that the perimeter of the plainfield is 544 yards, so we can write:

P = 544

The perimeter of a rectangle is given by the formula P = 2(l + w), so we can substitute our variables and get:

2(l + w) = 544

Simplifying this expression, we get:

l + w = 272

Now we need to use the information given about the relationship between the length and width of the field to write an equation that relates the two variables. We know that the length is 8 yards less than a quadruple of the width, so we can write:

l = 4w - 8

We can substitute this expression for "l" in the equation we derived earlier:

l + w = 272

(4w - 8) + w = 272

5w - 8 = 272

5w = 280

w = 56

So the width of the field is 56 yards. We can use the equation we derived earlier to find the length:

l = 4w - 8

l = 4(56) - 8

l = 216

So the length of the field is 216 yards.

Therefore, the width of the plainfield is 56 yards, and the length is 216 yards.

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The vector parametrization for the equation of line passing through points (2,5,3) and (6,9,6) is: r(t)= (2i + 5j + 3k) + μ(6i + 9j + 6K).

WE know that parameterization of the a curve is provided by each vector-valued function.

Since the pair of equations x = x (t) and y = y (t) that express the coordinates of a point along a curve in terms of such a parameter is known as a parameterization of a curve.

Given passing points:

(2,5,3) and (6,9,6)

In vector form;

Let vector a = 2i + 5j + 3k

Let vector b = 6i + 9j + 6K

Let μ be any constant.

Then, using the vector parametrization:

The equation of line in vector form for the given points is;

r(t)= a + μb

r(t)= (2i + 5j + 3k) + μ(6i + 9j + 6K)

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Correct question:

Find the vector parametrization for equation of the line that passes through the points (2,5,3) and (6,9,6). (Give your answer in the form 〈∗,∗,∗〉. Express numbers in exact form. Use symbolic notation and fractions where needed.)

r(t)=?

Answer:

\(r=199\)

Step-by-step explanation:

hopefully that was the answer you were looking for

Answer:

1.34117647059

Step-by-step explanation:

114 divided by 85 =1.34117647059

hope this helps

Answer:

The volume of the cake is:

12 inches x 9 inches x 2 inches = 216 cubic inches

Dividing the volume of the cake by the number of pieces, we get:

216 cubic inches / 18 = 12 cubic inches per piece

Therefore, the volume of each piece is 12 cubic inches.

Answer:

12 inches cubed

Step-by-step explanation:

First we have to find the total volume so we can split it up. We can do this by using the formula LWD = V, where l = length, w = width, and d = depth.

Here, the length is 12, the height is 2, and the depth is 9. We apply the formula:

(12)(2)(9) = 216

Now, we have to split it into 18 separate pieces. We can do this by dividing the total volume (216 inches cubed) by 18.

216/18 = 12

Therefore, each equal piece will be 12 inches cubed

Answer:

-3

Step-by-step explanation:

y = mx + b

m represents the slope, and on this equation, instead of m we have -3. So -3 is the slope

Answer:

Slope m = -3

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

Step-by-step explanation:

Step 1: Define

y = -3x + 1

Step 2: Break Function

Identify Parts

Slope m = -3

y-intercept b = 1

If Lisa's father randomly pick a tie among his 16 ties, the probability it will be a blue one is 3/8

Probability is a measure how likely an event will happen. The probability of an event A is defined as the number of event A divided by the number of all possible outcomes. Mathematically,

P(A) = n(A)/n(S)

Where:

n(A) = number of event A

n(S) = number of all possible outcomes or sample space.

In the given problem:

Number of all ties = 16

Number of blue ties = 6

Hence, when a tie is picked up randomly, the probability it will be a blue one is:

P(blue) = (number of blue ties) / (number of all ties)

P(blue) = 6/16 = 3/8

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Answer: 6.5<6.55

Step-by-step explanation: Because you add the zero to the 6.50 but it’s still less than 6.55.

Answer:

−6.5<6.55

Step-by-step explanation:

I took the K12 test

For the parabola y = 2x² + 3x + 1,

a. i.  The x-intercepts are x = -1/2 and x = -1

a. ii. The y-intercept is y = 1

b. i. The line of symmetry is at x = -3/4

b. ii. The equation of the line of symmetry is x = -3/4

c.  The vertex is at (-3/4, -1/8)

A parabola is part of a conic section which is a curve.

Given the parabola y = 2x² + 3x + 1, we find the x- intercept when y = 0.

So, y = 2x² + 3x + 1

2x² + 3x + 1 = 0

2x² + 2x + x + 1 = 0

Factorizing, we have

2x(x + 1) + (x + 1) = 0

(2x + 1)(x + 1) = 0

2x + 1 = 0 or x + 1 = 0

2x = -1 or x = -1

x = -1/2 or x = -1

So, the x-intercepts are x = -1/2 and x = -1

Given the parabola y = 2x² + 3x + 1, we find the y- intercept when x = 0.

So, y = 2x² + 3x + 1

So, y = 2(0)² + 3(0) + 1

y = 0 + 0 + 1

y = 1

So, the y-intercept is y = 1

The line of symmetry passes through the vertex of the parabola where dy/dx = 0.

So, y = 2x² + 3x + 1

dy/dx = d(2x² + 3x + 1)/dx

= d(2x²)/dx + d3x/dx + d1/dx

= 4x + 3 + 0

= 4x + 3

So, when dy/dx = 0,we have

4x + 3 = 0

4x = -3

x = -3/4

So, the line of symmetry is at x = -3/4

The equation of the line of symmetry is x = -3/4

Since the vertex of the parabola is a t x = -3/4, substituting this into the equation, we have

y = 2x² + 3x + 1

y = 2(-3/4)² + 3(-3/4) + 1

y = 2(9/16) - 9/4 + 1

y = 9/8 - 9/4 + 1

y = (9 - 18 + 8)/8

y = (17 - 18)/8

y = -1/8

So, the vertex is at (-3/4, -1/8)

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