How much is -1/4 of 1 1/3?

A. -1/3
B. 3/16
C. 1 1/12
D. -5 1/3

The four points with y-coordinates half their x-coordinates are (0,0), (2,1), (4,2), and (6,3). These points do lie on a line, as they all satisfy the linear equation y = x/2.

To plot four points whose y-coordinates are half their x-coordinates, we can choose any four values of x and then compute the corresponding values of y using the equation y = x/2. For example

If x = 0, then y = 0/2 = 0, so the first point is (0,0).

If x = 2, then y = 2/2 = 1, so the second point is (2,1).

If x = 4, then y = 4/2 = 2, so the third point is (4,2).

If x = 6, then y = 6/2 = 3, so the fourth point is (6,3).

We can plot these points on a coordinate plane

As we can see from the plot, the four points do lie on a straight line. This is because the equation y = x/2 is the equation of a linear function with slope 1/2 and y-intercept 0. Therefore, any two points on this line will have a constant slope between them, and thus the four points will be collinear.

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Answer:

The sequence is the ratio of 4:8, or 16:32. This is because the sequence needs to be divided into 2 different factors in order for it to match. The sequence is...

add 4, add 8, add 16, continue on.

The formula is...

4 * x = sequence

In this case, x is the increasing factor. I substituted it due to the fact that it's a constantly increasing number, not just a straight-up number we can declare.

Answer:

The angle measures 71.6 degrees, and its complementary angle measures 18.4 degrees

Step-by-step explanation:

Let x be the measure of the angle, and y be the measure of its complementary angle.

We know that the sum of the measures of complementary angles is 90 degrees:

x + y = 90

We are also given that the angle x is 53.2 degrees more than its complementary angle y:

x = y + 53.2

Now we can substitute the second equation into the first equation to solve for y:

y + 53.2 + y = 90

2y + 53.2 = 90

2y = 36.8

y = 18.4

So the measure of the complementary angle is 18.4 degrees.

We can now use the second equation to find the measure of the angle x:

x = y + 53.2 = 18.4 + 53.2 = 71.6

So the measure of the angle is 71.6 degrees.

Therefore, the measures of the angle and its complementary angle are 71.6 degrees and 18.4 degrees, respectively.

The slope-intercept form of given equation is y = 1/2x + 5/2.

According to the statement

we have given that the equation y-3 = 1/2(x-1) and the passing points are (–9, –2) and (1, 3).

And we have to find the slope-intercept form of the equation

slope-intercept form is the equation of a straight line in the form y = mx + b where m is the slope of the line and b is its y-intercept.

So, According to this

y-3 = 1/2(x-1)

convert this into y = mx +b form then

y-3 = 1/2x -1/2

here m is 1/2 and b is -1/2.

Then

y-3 = 1/2x -1/2

Add three on both sides then

y = 1/2x + 5/2

So, The slope-intercept form of given equation is y = 1/2x + 5/2.

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Answer:

its cccccccc

Step-by-step explanation:

To determine the appropriate prefix multiplier for reporting a measurement of 5.57 × 10^(-5) m, we need to find a suitable metric prefix that would make the number easier to read and understand.

1. Convert the original measurement (5.57 × 10^(-5) m) to a more suitable metric unit.
2. Compare the metric prefixes and their corresponding multipliers to find the best fit.

In this case, the closest metric prefix for 10^(-5) is "micro" (symbol: µ), which has a multiplier of 10^(-6). To use this prefix, we need to convert the measurement to micrometers (µm).

3. Divide the original measurement by the multiplier of the chosen prefix: (5.57 × 10^(-5) m) / (10^(-6) µm/m) = 55.7 µm.

So, the appropriate prefix multiplier for reporting the measurement of 5.57 × 10^(-5) m is "micro," and the measurement can be reported as 55.7 µm.

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Answer:

B 3/32

Step-by-step explanation:

3/8 divided by 4

do the keep change flip method and solve

3/8 x 1/4

Answer:

Step-by-step explanation:

he height of the storage unit is equal to twice its radius (since the diameter is twice the radius), so the height is 2 x 8 = 16 feet.

The storage unit is in the shape of a cylinder, so we can use the formula for the volume of a cylinder, V = πr^2h, where r is the radius and h is the height:

V = π(8^2)(16)

V = π(64)(16)

V = 3,218.69 cubic feet (rounded to two decimal places)

Therefore, the volume of the storage unit is approximately 3,218.69 cubic feet.

Given equation is a first-order nonlinear ordinary differential equation (ODE): y' - (x + y - 1)^2 = 0

What is differential equation ?

A differential equation is an equation that contains at least one derivative of an unknown function, either a normal differential equation or a partial differential equation.

This equation can be solved using various methods, such as numerical methods or analytical methods like the implicit function theorem or the method of characteristics. However, finding an exact solution can be challenging and may not always be possible.

If you would like to find an approximate solution to this ODE, you could use numerical methods such as Euler's method, Runge-Kutta method, or the finite difference method. These methods can provide a numerical approximation to the solution for a given range of x and a specified initial condition.

The given equation is a first-order nonlinear ordinary differential equation (ODE):

y' - (x + y - 1)^2 = 0

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Answer:

aluminum

Step-by-step explanation:

Using proportions, the costs are given as follows:

a) Total Labor Cost: $2,505,600.

b) Total Product Cost: $1,950,000.

c) Total Cost = $4,455,600.

d) Cost per home = $461.77.

e) Cost per week = $99,013.33.

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

For item a, the labor cost is found using the earnings of the workers, as follows:

45 weeks x 5 days x 8 hours x 58 per hour x (12 + 8 + 4 workers)

Hence:

Total Labor Cost = 45 x 5 x 8 x 58 x 24 = $2,505,600.

For item b, the product cost is the cost of the boards, hence:

(175 + 150 + 50 boards) x 5,200

Total Product Cost = 375 x 5,200 = $1,950,000.

For item c, the total cost is the sum of the product cost and the labor cost, hence:

Total Cost = 2,505,600 + 1,950,000 = $4,455,600.

For item d, the cost per home is found dividing the total cost by the 9,649 homes, hence:

Cost per home = 4455600/9649 = $461.77.

For item e, the cost per week is found dividing the total cost by the 45 weeks, hence:

Cost per week = 4455600/45 = $99,013.33.

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Answer:

154

Step-by-step explanation:

the perimeter is the summation of all the sides of the plane. so

15 + 14 + 20 + 9 + 15 + 13 + 50 + 18 = 154

i think this is ✅

Using the labelled size of segments, the perimeter of the given figure is 154 units. Hence, the fourth option is true.

Use the concept of perimeter defined as:

The complete length of a shape's boundary is referred to as the perimeter in geometry. A shape's perimeter is calculated by adding the lengths of all of its sides and edges.

According to the figure,

The perimeter of the given building is the sum of the lengths shown in the figure.

18 + 15 + 14 + 20 + 9 + 15 + 13 + 50 = 154.

Hence,

The required perimeter is 154 units, which is option fourth.

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For the graphs you use the the method of

Rise(Up) / Run(Down) = Slope

for exmaple the first graph

The rise is 4 (up) and the run (down) is 6 so you divide that being 2/3 the slope.

For the secound part you use the formula

m= rise/run = y2-y1/x2-x1

for exmaple for number 7

(4,9) and (1,6) being (x1, y1) and (x2,y2)

so your rise is 3 and your run is 3 that being 3/3 = 1 so your slope is 1 or m=1

Answer:

\(2x^2+7x+6=0\\\\2(x^2+\frac72x+3)=0\\\\2[x^2+2\cdot x\cdot\frac74+(\frac74)^2-(\frac74)^2+3]=0\\\\2[x^2+2\cdot x\cdot\frac74+(\frac74)^2]-2(\frac74)^2+6=0 \\\\2(x+\frac74)^2-2\cdot\frac{49}{16}+6=0\\\\2(x+\frac74)^2-\frac{49}8+\frac{48}8=0\\\\2(x+\frac74)^2-\frac18=0\)

Answer:

(x+7/4)^2=1/16

Step-by-step explanation:

Answer:

65

Step-by-step explanation:

<S = <t

x + 50 = 3x + 20

2x = 30, x = 15

. <t = <v

3x + 20 = 45 + 20 =  65

Answer:

b.  65 degrees.

Step-by-step explanation:

m < RST = m < STU (alternate angles), so

x + 50 = 3x + 20

50 - 20 = 3x - x

2x = 30

x = 15.

Now m < RVT = m < RST  ( opposite sides of a parallelogram are equal).

So m < RVT = x + 50 = 15 + 50 = 65.

Answer:

A set is continuos if the values of the set can be any value in the given ranges

A set is discrete if the values of the set are finite and separate.

Than:

a) The weight of a puppy.

The weight of a puppy can be any value between 0 kg and a given maximum weight, then this is a continuous set.

b) The number of puppies in a litter.

Here we can have only whole numbers, for example, we can not have 7.34321 puppies in the litter, so this is a discrete set.

c) A person's temperature.

Temperature can be any value in a given range, so this is a continuous set.

d) The dress sizes of women.

Normally, there is a given set of dress sizes like s, l, xl, etc.

So in general, this is a discrete set. (While the actual "size" of a dress can take a lot more values than those ones, but this still is a discrete set)

Answer:

Step-by-step explanation:

-Start by distributing the 2, -2(3m+1/2).

-Getting -6m-1, your equation should look like -40-6m-1=7m-2

-Combine -40 and -1 to get -41, and then add the -6m to the other side.

-The equation should look like -41=13m-2. Add the 2 to the -41 to get -39.

-Now, we have -39=13m. divide both sides by 13 to get m=-3.

The solution of the inequality is x < 9. The graph of the inequality is attached below.

What is inequality?

In mathematics, inequalities specify the relationship between two non-equal values. Equal does not imply inequality. Typically, we use the "not equal symbol (≠)" to denote an inequality between two values. But various inequalities are used to compare the values, whether it is less than or greater than.

The given inequality is

x - 4 < 5

If add or subtract the same number from both sides of the inequality, then the inequality remains the same.

Add 4 on both sides:

x - 4 + 4 < 5 + 4

x < 9

It means all values that are less than 9 satisfy the given equality.

Since the inequality sign is less than. Thus there will be an open circle on 9.

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Answer: c

Step-by-step explanation:

The 98% confidence interval for the population standard deviation σ:

(12.68, 26.66).

To construct a 98% confidence interval for the population standard deviation σ, we can use the chi-square distribution.

The formula for the confidence interval is:

((n-1)s^2)/χ^2(α/2, n-1) ≤ σ^2 ≤ ((n-1)s^2)/χ^2(1-α/2, n-1)

where s is the sample standard deviation, n is the sample size, and χ^2(α/2, n-1) and χ^2(1-α/2, n-1) are the chi-square values for the given level of significance and degrees of freedom.

With n = 19 and s = 9.4, we have:

χ^2(0.01/2, 18) = 36.191 and χ^2(1-0.01/2, 18) = 7.962

Substituting these values into the formula, we get:

((19-1)(9.4)^2)/36.191 ≤ σ^2 ≤ ((19-1)(9.4)^2)/7.962

Simplifying:

160.866 ≤ σ^2 ≤ 711.901

Taking the square root of both sides, we get:

12.68 ≤ σ ≤ 26.66

Therefore, the 98% confidence interval for the population standard deviation σ is (12.68, 26.66).

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If number of dates in a month 0 1 2 3 4 5 probability 0.12 0.27 0.35 0.14 0.09 0.03. The median of the dates that byu students go on per month is 2.5 . So, the correct option is C.

To find the median number of dates that BYU students go on per month from the given data, we need to calculate the cumulative probabilities for each possible number of dates and find the value for which the cumulative probability is greater than or equal to 0.5.

Using the given probabilities, we can calculate the cumulative probabilities as follows:

The median is the value that corresponds to the cumulative probability of 0.5. Looking at the cumulative probabilities, we can see that the median falls between 2 and 3, as the cumulative probability for 2 is 0.74 and the cumulative probability for 3 is 0.88.

To estimate the median more precisely, we can use linear interpolation. The proportion of the median between 2 and 3 can be calculated as:

Proportion of median = (0.50 - 0.74) / (0.88 - 0.74) = 0.40

Therefore, the median number of dates that BYU students go on per month is:

Median = 2 + 0.40 * (3 - 2) = 2.4

So, the median number of dates is approximately 2.4. Therefore, the closest option in the given choices is 2.5. Hence, the answer is 2.5.

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Complete question is:

Number of dates in a month 0 1 2 3 4 5 probability 0.12 0.27 0.35 0.14 0.09 0.03 what is the median number of dates that byu students go on per month?

group of answer choices

a)1

b)2

c)2.5

d)3

e)4

Therefore , the solution of the given problem of function comes out to be the rocket returns to the earth in 8.3 seconds (rounded to the nearest tenth).

The math lesson includes a wide range of topics, such as mathematics, integers, as well as one's divisions, architecture, and both actual mostly and fictitious geographic locations. The relationships between various components that all cooperate to create the same outcome are covered by a work. A utility is composed of numerous unique elements that work together to produce unique outcomes for each input.

Here,

The rocket's height will be zero when it touches down. Therefore, we can enter H = 0 into the algorithm and find t:

=> 0 = -1/12 (32) t² + 66t + 0

When we simplify this solution, we obtain:

=> 0 = -8t² + 66t

When we factor the solution, we obtain:

=> 0 = 2t(33 - 4t) (33 - 4t)

So, either 2t = 0 or 33 - 4t = 0.

The rocket is launched at this moment, so t = 0 if 2t = 0 is not the solution we are looking for.

If 4t = 33 and 33 - 4t = 0, then t = 8.25 seconds.

Because of this, the rocket returns to the earth in 8.3 seconds (rounded to the nearest tenth).

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The Distance between the given parallel planes is 8.84.

According to the statement

we have given that the two parallel planes and we have to find the distance between them.

So, For this purpose, we know that the

First let us find a point on one plane. For this in plane 9z +3x - 3y = 2

assume x = 0 and y = 0 then and hence (0,0,2/9) on this plane.

Now we find the distance between point (0,0,2/9) and plane 6z -2y + 2x =0

So,

As distance from a point to plane is

\(D= \frac{|ax_1+by_1+cz_1+d|}{\sqrt{ (a^2+b^2+c^2)}}\)

And

now substitute the values in then

\(D= \frac{|2*0+ (-2)0+6*2/9+0|}{\sqrt{ 36 +4+4)}}\)

Then the value becomes

\(D= \frac{4/3}{\sqrt{ (44)}}\)

\(D= \frac{4\sqrt{44} }{3}\)

Then solve it

\(D= \frac{26.52}{3}\)

then

D = 8.84

So, The Distance between the given parallel planes is 8.84.

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Answer:

3g+2

$26

Answer:

n^2-3n-18 = (n-6)(n+3)        , -3x^2+15x-12 = -3(x-4)(x-1)

Step-by-step explanation:

Answer:

1. (n - 6)(n + 3)

2. -3 (x - 4) (x - 1)

Step-by-step explanation:

If the semi-annual rate is 0.5%, then the Annual Percentage Rate is 0.0001%.

To find the Annual Percentage Rate (APR), we need to double the semiannual rate since there are two semiannual periods in a year.

So, the APR would be 1% (0.5% * 2).

2. To find the Effective Annual Rate (EAR), we can use the formula:

\(EAR = (1 + r/n)^n - 1\)

where r is the nominal interest rate and n is the number of compounding periods per year.

In this case, the nominal interest rate (r) is 0.5% and the compounding periods per year (n) is 2 (since it's a semiannual rate).

Plugging in these values into the formula:

EAR = (1 + 0.005/2)^2 - 1

EAR = (1.0025)^2 - 1

EAR = 1.005025 - 1

EAR = 0.005025

Therefore, the EAR (rounded to 6 decimal points) is 0.005025.

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Answer:

its actually d

Step-by-step explanation:

it compares height to time

The rate of decrease in the revenue reduces each year, resulting in an

approximate quadratic equation model that is concave upwards.

The variables are;

x = Number of years since 2,000

y = Revenue for  physically recorded music in millions of dollars

Find out -

To model the decline using a quadratic equation.

The general form of the quadratic equation is; y = a·x² + b·x + c

When y = 5547, x = 8

We get;

5547 = a·8² + b·8 + c = 64·a + 8·b + c

5547 = 64·a + 8·b + c...(1)

When y = 3113, x = 11

We get;

3113 = a·11² + b·11 + c = 121·a + 11·b + c

3113 = 121·a + 11·b + c...(2)

When y = 2056, x = 14

We get;

2056 = a·14² + b·14 + c = 196·a + 14·b + c

2056 = 196·a + 14·b + c...(3)

Subtracting equation (2) from equation (1) gives;

5547 - 3113 = 64·a + 8·b + c - (121·a + 11·b + c) = -57·a - 3·b

2434 =  -57·a - 3·b...(4)

Subtracting equation (3) from equation (2) gives;

3113 - 2056 = 121·a + 11·b + c - (196·a + 14·b + c) = -75·a - 3·b

1057 = -75·a - 3·b...(5)

Subtracting equation (5) from equation (4) gives;

2434 - 1057 = -57·a - 3·b - (-75·a - 3·b) = 18·a

1377 = 18·a

a = 76.5

From, equation (4), 2434 =  -57·a - 3·b, we have;

2434 =  -57 × 76.5  - 3·b

Therefore;

b = -2264.8

From equation (1), we get;

5547 = 64 × 76.5 + 8×(-2264.8) + c

Therefore;

c = 5547 - (64 × 76.5 + 8×(-2264.8)) = 18769.

c = 18769.

Therefore, the quadratic model is;

Verifying, we have in year 2012, x = 12

y = 76.5×12² - 2264.8×12 + 18769. = 2607.74

Thus ,the completed table and comparison of the predicted physical revenue and actual values is presented in the attachment;

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Answer:

x = 6

Step-by-step explanation:

(In reference to my diagram.... my diagram is similar to the diagram in the question)

We know that diagonals of a square bisect each other at right angles.

In ΔBOC ,

•OB = OC (Diagonals of square bisect each other)

=> ∠OBC = ∠OCB = (7x + 3)°        (∵ OB = OC)

• ∠BOC = 90° (Diagonals intersect at right angles)

Using angle sum property of triangle ,

∠OBC + ∠OCB + ∠BOC = 90°

\( = > 7x + 3 + 7x + 3 + 90 = 180\)

\( = > 14x + 6 = 180 - 90 = 90\)

\( = > 14x = 90 - 6 = 84\)

\( = > x = \frac{84}{14} = 6\)

Answer:

\(y = x - 2 \\ x + y = 4 \\ x + x - 2 = 4 \\ 2x = 4 + 2 \\ 2x = 6 \\ x = 3 \\ y = 3 - 2 = 1\)

Answer:

50mm

Step-by-step explanation:

From the smaller to the larger:

Let s + the scale factor

3s = 10  Divide both sides by 3

s = \(\frac{10}{3}\)

15\((\frac{10}{3})\) = \(\frac{150}{3}\) = 50