Write an equation to represent the phrase: The difference of twice a number and six is four times the number.

Answer:

17p

Step-by-step explanation:

9p+8p=17p

Answer:

-2 C < 4 C

Step-by-step explanation:

Answer:

-2 C < 4 C

Step-by-step explanation:

Because |-| means that it is less than 0, and 4 is above 0. Whatever is above -2 will greater for ex.

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-2 C < -3 C

this will be greater!! Hope this helps!!ლ(•ω •ლ)

We know that the area of a square/rectangle is the multiplication of its length by its width. We also know that this specific area does not include the blank region, therefore we need to subtract it from the area of the shaded region!

We can come up with two expressions:

Shaded Area:

\((5x + 2)(3x - 1)\\= 15x^2-5x+6x-2\\=15x^2+x-2\)

Blank area:

\((x)(x+7)\\x^2+7x\)

Now all we have to do is subtract the blank area's expression from the shaded area's and simplify since the question asks for the simplest form.

\((15x^2+x-2)-(x^2+7x)\\15x^2-x^2+x-7x-2\\14x^2-6x-2\)

Therefore, your final answer should be:

14x^2 - 6x - 2

The probability that the committee will consist of men is 17.95%. 

To fathom this issue, we ought to utilize the concept of combinations. The number of ways to select a committee of 3 individuals from a add up to of 24 individuals is:

C(24,3) = 24! / (3! * 21!) = 2024

Presently, we ought to discover the number of ways to select a committee comprising of as it were men. We will select 3 men from 14 in:

C(14,3) = 14! / (3! * 11!) = 364 ways.

In this manner, the likelihood of choosing a committee comprising of as it were men is:

P(3 men) = C(14,3) / C(24,3) = 364 / 2024 = 0.1795

So the likelihood that the committee will comprise men is 0.1795, or approximately 17.95%. 

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Answer:

last one

Step-by-step explanation:

The square root of 75 is 5√3, which can also be written as 5√-1+4

Answer:

Average rate of change is 2

Step-by-step explanation:

If a function \(f(x)\) is continuous over the interval \([a,b]\), then the average rate of change over that interval is \(\displaystyle \frac{f(b)-f(a)}{b-a}\):

\(\displaystyle \frac{f(b)-f(a)}{b-a}\\\\=\displaystyle \frac{f(1)-f(-1)}{1-(-1)}\\\\=\frac{(2(1)-11)-(2(-1)-11)}{1+1}\\ \\=\frac{(2-11)-(-2-11)}{2}\\ \\=\frac{-9-(-13)}{2}\\ \\=\frac{-9+13}{2}\\ \\=\frac{4}{2}\\ \\=2\)

Thus, the average rate of  change over the interval \([-1,1]\) for the function \(f(x)=2x-11\) is 2.

Answer: 1.061

Step-by-step explanation:

1). Based on conditions, formulate: 1+6.1%

2). Then convert to a decimal: 1.061

The graph of the function is a straight line, there are no local maximum or minimum values either.

As per data f(x) = 5 - x

Sketching the graph of the function f(x):

Here, the graph of the function f(x) is a straight line, and its slope is -1. Let's plot some points:

When x = 0, y = 5

When x = 1, y = 4

When x = -1, y = 6

When x = 2, y = 3

When x = -2, y = 7

We can plot more points as well using the slope to find more points.

Finding the absolute maximum and minimum values of f(x): The graph of f(x) is a straight line that extends infinitely in both directions, meaning there is no absolute maximum or minimum value. Finding the local maximum and minimum values of f(x):

Since the graph of the function is a straight line, there are no local maximum or minimum values either. Therefore, the answer is: DNE, DNE, DNE, DNE.

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The exercise involves finding the product C = AB, where matrix A is given by [2 9] and matrix B is given by [3 6 1]. We need to perform the matrix multiplication to obtain the resulting matrix C.

Let's calculate the matrix product C = AB step by step:

Matrix A has dimensions 2x1, and matrix B has dimensions 1x3. To perform the multiplication, the number of columns in A must match the number of rows in B.

In this case, both matrices satisfy this condition, so the product C = AB is defined.

Calculating AB:

AB = [23 + 912 26 + 94 21 + 95]

[103 + 612 106 + 64 101 + 65]

Simplifying the calculations:

AB = [6 + 108 12 + 36 2 + 45]

[30 + 72 60 + 24 10 + 30]

AB = [114 48 47]

[102 84 40]

Therefore, the product C = AB is:

C = [114 48 47]

[102 84 40]

In summary, the matrix product C = AB, where A = [2 9] and B = [3 6 1], is given by:

C = [114 48 47]

[102 84 40]

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Answer:

B. 60 millennials

Step-by-step explanation:

75 divided by 10, times 8 = 60

Answer:

29

Step-by-step explanation:

(x+12) + 100 + x = 180

           2x + 112 = 180

Subtract 112 from both sides

                    2x = 58

Divide 2 from both sides

                      x = 29

Answer:

Yes the mark on two or more sides mean they are congruent, that is a reflected tricangle

Step-by-step explanation:

The point in the form (1, y, z) that is equivalent to the given points is (1, 3/5, 3/5).

To find all the points in the form (1, y, z) that are equivalent to the points (2, -1, 0) and (0, -2, 1), we can use the concept of vector equivalence.

Let's consider the vector from (1, y, z) to (2, -1, 0). This vector is (2-1, -1-y, 0-z) = (1, -1-y, -z).

Similarly, the vector from (1, y, z) to (0, -2, 1) is (0-1, -2-y, 1-z) = (-1, -2-y, 1-z).

Since these two vectors are equivalent, we can set them equal to each other:

(1, -1-y, -z) = (-1, -2-y, 1-z)

Simplifying this equation, we get:

y - z = 0

2y + 3z = 3

Therefore, all points in the form (1, y, z) that are equivalent to the given points are given by the equations:

y = z

2y + 3z = 3

Solving this system of equations, we get:

y = 3/5

z = 3/5

So the point in the form (1, y, z) that is equivalent to the given points is (1, 3/5, 3/5).

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Answer:

8

Step-by-step explanation:

Substitute -6 for every x in the equation:

f(-6) = -(-6) + 2

Solve the right side of the equation:

6 + 2

=8

Answer:

p = g - 50

Step-by-step explanation:

profit = income - expenses

income = 1 * g = g

expenses = $50

p = g - 50

If g = 50, then

p = 50 - 50 = 0

If she sells 50 glasses of lemonade, she breaks even. That means she makes no profit, but also she loses nothing.

If she sells more than 50 glasses, then she makes a profit.

Answer:

50 is the answer

Step-by-step explanation:

Answer:

8 students in van, 29 students in bus

Step-by-step explanation:

To find the number of students in each van and bus, we can use system of equations to solve. Our first step is to create one equation for High School A and B. Let's use x for vans and y for buses, but ultimately, the variables don't matter that much.

High School A: 13x+6y=278

High School B: 10x+12y=428

Let's use elimination method to solve. We would multiply the first equation by 2.

26x+12y=556

10x+12y=428

Now that the 12y is the same in both equations, let's eliminate y by subtracting the 2 equations.

 26x+12y=556

-(10x+12y=428)

          16x=128

With 16x=128 left, we can just solve for x.

16x=128               [divide both sides by 16]

x=8

Now that we have x=8, we can plug that into the equations above to find y.

13(8)+6y=278     [multiply]

104+6y=278       [subtract both sides by 104]

6y=174                [divide both sides by 6]

y=29

With x=8 and y=29, we know that there are 8 students in each van and 29 students in each bus.

Step-by-step explanation:

Let,

No. of students in vans = x

No. of students in bus = y

In case 1

13x + 6y = 278(1)

In case 2

10x + 12y = 428(2)

On multiplying eq. 1 by 2

2(13x + 6y) = 2(278)

26x + 12y = 556 (3)

On subtracting 2 and 3

26x + 12y - (10x + 12y) = 556 - 428

26x + 12y - 10x - 12y = 128

16x = 128

x = 128/16

x = 8

From 1

13(8) + 6y = 278

104 + 6y = 278

6y = 278 - 104

6y = 174

y = 174/6

y = 29

Answer: The length of the edge of the crate is 3 feet.

Step-by-step explanation:

The formula of the volume of a cube is the cube of edge length.

The volume of the cube (V) = (edge)³ ...................................(1)

In the given question volume is 27 cubic feet.

So, V = 27 cubic feet

Now we replace the Volume with the edge using equation (1)

i.e. (edge)³ = 27

or we can say that the cube root of the edge is equal to 27

i.e. edge = ∛27

which is equal to 3

hence, edge = 3 feet

To calculate the cube root write prime factors of 27 and group them in groups of three

i.e. ∛27 = ∛(3×3×3) = ∛ (3)³ = 3

The volume of the solid is 4/5π.

The volume of a solid generated by revolving a region around a line is given by V = ∫a b π(y)2dy, where a and b are the lower and upper limits of the region, respectively, and y is a function of x.

In this case, the region is bounded by the graph of y=x3, the y-axis, and the horizontal line y=1. Therefore, the volume of the solid generated when the region is revolved about the y-axis is given by

V = ∫0 1 π(y)2dy

= ∫0 1 πx6dx

= π/7

= 4/5π

The volume of the solid is calculated using the formula V = ∫a b π(y)2dy, where a and b are the lower and upper limits of the region and y is a function of x. In this case, the lower limit is a=0 and the upper limit is b=1, since the region is bounded by the graph of y=x3, the y-axis, and the horizontal line y=1. Integrating from a=0 to b=1 gives the volume of the solid as V = ∫0 1 πx6dx = π/7 = 4/5π.

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Answer:Hmm okay its C because i had that before

Step-by-step explanation:

if its wrong then i dont know because my brother told me

Answer:

should be yellow

Step-by-step explanation:

hope this helps

Answer:

c

Step-by-step explanation:

pls give me brainliest im almost lvled up

The solution to the system of linear equation are -1 and 2

A system of linear equations is a collection of two or more linear equations with the same variables. The goal is to find the values of the variables that satisfy all the equations in the system. Linear equations are equations that have variables that are raised to the power of 1 and the coefficients of the variables are real numbers.

In the problem, we have equations as;

y = 2x + 4 ..eq(i)

x + y = 1 ...eq(ii)

Plotting this on a graph,

The value of x and y are -1 and 2

From the above, the solutions the student gave is wrong

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The population mean is 8. Now, putting the values in the formula = (9+10+13+1+4+5)/(6-1) = 42/5. Therefore, the population variance is 4.9167.

Given,Population consists of the four members 5, 8, 9, 10.Total number of possible samples of size two which can be drawn without replacement from this population = 6.The possible samples are {5,8}, {5,9}, {5,10}, {8,9}, {8,10}, {9,10}.The sum of the values in each of the sample is as follows:{5,8} → 13{5,9} → 14{5,10} → 15{8,9} → 17{8,10} → 18{9,10} → 19Now, calculating the mean of all the possible samples of size two we get:Mean = (13+14+15+17+18+19)/6=96/6=16Therefore, the population mean is 16/2 = 8.2.

To find the population mean of a population, we use the formula;μ = ΣX/N Where,X is the value of each observation N is the total number of observations μ is the population mean .Given,Population consists of the four members 5, 8, 9, 10.Total number of observations = 4The sum of all observations = ΣX = 5+8+9+10 = 32Now, putting the values in the formula we get;μ = 32/4 = 8Therefore, the population mean is 8.To find the population variance of samples of size two, we use the  Where,N is the total number of possible samplesσ² is the population varianceS² is the sample variance of all possible samples of size two To calculate the sample variance of all possible samples of size two, we use the formula Where,X is the value of each sample  is the mean of the populationn is the size of the sampleGiven,Population consists of the four members 5, 8, 9, 10.Total number of possible samples of size two which can be drawn without replacement from this population = 6.The possible samples are {5,8}, {5,9}, {5,10}, {8,9}, {8,10}, {9,10}.First, we calculate the sample mean of all possible samples of size two using the formula Where,X is the value of each samplen is the size of the sample.

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Answer:

160/3

Step-by-step explanation:

\(\frac{2^{2010}+2^{2008}}{2^{2005}-2^{2003}} \\ \\ =\frac{2^7 + 2^5}{2^2 - 1} \\ \\ =\frac{128+32}{4-1} \\ \\ =\frac{160}{3}\)

Step-by-step explanation:

125 -30 = 95..

125 - 60 = 65

The rocket reaches its maximum height at 1.5 seconds after launch will be 39 feet.

The rate of change of a function with respect to the variable is called differentiation. It can be increasing or decreasing.

A toy rocket is shot upward up high from a take-off platform 3 feet over the ground with an underlying speed of 48 feet each second. The level h, in feet, of the rocket over the ground at t seconds after send-off is given by the capability h(t) = - 16t² + 48t + 3.

Differentiate the function and put it equal to zero.

h'(t) = 0

-32t + 48 = 0

32t = 48

t = 1.5 seconds

Then the maximum height is given as,

h(1.5) = - 16(1.5)² + 48(1.5) + 3

h(1.5) = 39 feet

The rocket reaches its maximum height at 1.5 seconds after launch will be 39 feet.

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Answer:

1) 2016

2) 50400

Step-by-step explanation:

First, find the numbers we need

H = 3

A = 5

total = 8

put them in the right order and calculate

8!/5!(3!) = 2016

do the same for question 2

S = 3

T = 3

A = 1

I = 2

C = 1

total  = 10

10!/(3!)(3!)(2!) = 50400

Answer:

Step-by-step explanation:

Step-1: Add the ratios:

Step-2: Divide 800 by the sum of the ratios:

Step-3: Multiply 50 with each ratio:

Hence, the numerator '9's share is 450 and the denominator '7's share is 350.

Hoped this helped.

\(BrainiacUser1357\)

Sharing 800 in the ratio of 9:7 gives us two shares as 450 and 350 respectively.

A ratio is a pair of numbers, say x and y, written as x:y, said as x is to y, and used as the fraction x/y, where y ≠ 0.

We are asked to share 800 in the ratio of 9:7.

To do this, we denote the share as 9x and 7x respectively.

Sum of the shares = 9x + 7x = 16x.

This sum needs to be equal to the total we are asked to share, that is, 800.

∴ 16x = 800

Dividing both sides by 16, we get

16x/16 = 800/16

or, x = 50.

To determine each share, we multiply the value of x = 50.

∴ Shares are:

9x = 9 * 50 = 450

7x = 7 * 50 = 350

So sharing 800 in the ratio of 9:7 gives us two shares as 450 and 350 respectively.

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a) In order to determine the clock cycle time of the computer, we need to use the following formula:

CPU Time = Instruction Count × Cycles per Instruction × Clock Cycle Time.

This means that the CPU time is equal to the product of the instruction count, cycles per instruction, and clock cycle time. Given that the CPU time is 6.28 seconds, instruction count is 3 million, and cycles per instruction is 2, we can easily determine the clock cycle time as follows: Clock Cycle Time = CPU Time ÷ (Instruction Count × Cycles per Instruction) = 6.28 ÷ (3 × 10⁶ × 2) seconds = 1.045 × 10⁻⁶ seconds.

To find the clock frequency of the computer, we use the formula: Clock frequency = 1 ÷ Clock Cycle Time. Using the calculated clock cycle time, we can determine the clock frequency as follows: Clock frequency = 1 ÷ 1.045 × 10⁻⁶ Hz = 956,937 Hz ≈ 957 kHz.

b) Amdahl's Law states that the speedup S that can be achieved is S = 1 / ((1 - P) + P / N), where P is the fraction of the code that can be parallelized and N is the number of cores. If we plug in the given values, we can find the maximum achievable speedup: S = 1 / ((1 - 0.98) + 0.98 / 4) = 1 / (0.02 + 0.245) = 3.72. This means that the system cannot achieve a speedup of 8.

To find the number of cores required for a speedup of 3.72, we can use the speedup formula. Thus, 3.72 = 1 / ((1 - 0.98) + 0.98 / N). Simplifying this expression, we get N = 5.24 ≈ 6. Therefore, we can conclude that at least 6 cores are required to achieve a speedup of 3.72.

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Answer:

When A is positive there is a minimum vertex.

Step-by-step explanation:

When a parabola is positive the opening goes upwards. When a parabola is negative it goes downwards. The negative sign on the A coefficient means that you reflect your equation across the x-axis

Answer:

The first one.

Step-by-step explanation: