5x + 5 - 2x - 1 which of the following is an equivalent expression

Answer:

{−3, 0, 4, 11}

Step-by-step explanation:

The third option. Hope this helps!

Answer:

Assume that the number is 100. Then, 20% of 100 is  20×100100  = 20. Increasing 100 by 20% means increasing 100 by 20 and the resultant number is 120.

Now the new number is 120. 20% of 120 is  20×120100  = 120/5 = 24. Thus decreasing 120 by 20% means same as subtracting 24 from 120 and the resultant number will be 120 — 24 = 96.

Since 96 is less than 100, the original number, net decrease

=100−96100×100

=4100×100

=4

Thus the net decrease is 4%. It is true for all other numbers.

Step-by-step explanation:

Answer:

500 < c < 1,700

Step-by-step explanation:

The estimated number of visitors to the park in 2023 is 2052 thousand or 2,052,000 visitors.

To estimate the number of visitors to the park in 2023, we need to plug in the value of x = 16 into the given polynomial, where x represents the number of years after 2007. Therefore, we have:

-7.5(16)^2 + 113(16) + 2164
= -7.5(256) + 1808 + 2164
= -1920 + 3972
= 2052

So, the estimated number of visitors to the park in 2023 is 2052 thousand or 2,052,000 visitors.

It's important to note that this is just an estimate and there may be other factors that could affect the actual number of visitors to the park in 2023. However, based on the given polynomial, we can use it as a guide to make an educated guess about the number of visitors we can expect in the future.

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We need to find how much water Ella needs to make the different concentrations of syrups. The solution will be for 1.5%, we need 32.83 lbs of water.

The percentage in the concentration tells us how much in the mixture is sugar.

So for example, in the 50% syrup, we have a 50% of sugar, meaning that half of it is sugar, and we have 0.5 lbs of sugar, so we need to add the same amount of water, 0.5 lbs of water.

For the 1.5% syrup, this will be:

= (0.5 - 0.5 × 0.015) / 0.015

= 32.83 lbs

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Complete question

Ella has 0.5 lbs of sugar. How much water should she add to make the following concentrations? Tell Ella how much syrup she will have in each case.  1.5% syrup?

The speed in rad/s will be;25.13 / 62.86= 0.398 rad/s= 0.40 rad/s (approx)

Given:

Diameter of open cylinder (D) = 20cm

Radius of open cylinder (r) = D/2 = 20/2 = 10 cm

Height of open cylinder (h) = 90 cm

Speed of rotation = 240 rpm

Formula used:

The formula for the speed of rotation is given by;

Speed of rotation = 2πn Where, n = Number of revolutions per secondπ = 22/7

From the given diameter, we can find the circumference of the base of the cylinder as follows:

Circumference of base = πD= 22/7 × 20= 62.86 cm

We know that the water is contained in the cylinder which is open at the top. So, the water will form a parabolic surface whose height will vary with the radius.In order to find the speed of rotation of the cylinder, we need to find the velocity of the water at a distance r from the axis of rotation. The velocity of the water at any point depends on the distance of the water particle from the axis of rotation.

The maximum velocity of the water will be at the top and the minimum velocity will be at the bottom. The velocity at different points will be given by:v = rωWhere, r = distance of water particle from the axis of rotationω = angular velocity of the cylinder at that point= (240 × 2π) / 60= 8π rad/s

So, the velocity of the water at a distance of 10 cm from the axis of rotation will be;v = rω= 10 × 8π= 80π cm/s= 251.3 cm/s

Therefore, the speed of rotation of the cylinder is 25.13 rad/s (Option C)

Note: In order to convert the answer to rad/s, divide the answer by the circumference of the base of the cylinder. The circumference of the base is 62.86 cm.

So, the speed in rad/s will be;25.13 / 62.86= 0.398 rad/s= 0.40 rad/s (approx)

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Answer:

7/12

Step-by-step explanation:

3/4 - 4/3 = 7/12 or 0.583

The proportion of 60 % is given by the ratio is 3/5

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

A = 60 %

The proportion is given by A = 60/100

A = 60 / 100

On simplifying the equation , we get

A = 6/10

Divide by 2 on the numerator and denominator of the equation , we get

A = 3/5

Therefore , the value of A is 3 : 5

Hence , the proportion is 3 : 5

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Step-by-step explanation:

2(r+8)=r+10

2r+16=r +10

Grouping like terms

2r-r=10-16

r = -6

In a graph, where is zero located?

The x-intercept(s) of the function's graph, or the actual zero of a function, is the location on a graph where the function's graph crosses the x-axis.

Answer:

2x^2-6x-4

Step-by-step explanation:

(7x2 + 4x - 9)

-(5x2 + 10x - 5)

=

7x^2-5x^2=2x^2

4x-10x=-6x

-9-(-5)=-4

thus, your answer is 2x^2-6x-4

Answer:

41

Step-by-step explanation:

because I did it on a calculator and get it mentally

Answer:

7/12

Step-by-step explanation:

4 x 3 = 12 (LCD)

3/12 + 4/12 = 7/12

No simplifying done,

7/12 is the answer.

Hope this helped :)

the lower class limit represents the smallest data value that can be included in the classThe statement is true.

The lower class limit is the smallest value that can be included in a class interval.

Therefore, the statement is correct.

The lower class limit represents the smallest data value that can be included in a particular class. In a frequency distribution table, data values are grouped into classes, and each class has a lower and upper class limit. The lower class limit denotes the lowest value within that class, and any data value equal to or greater than the lower limit but less than the upper limit falls into that class.

The statement is true, as the lower-class limit indeed represents the smallest data value that can be included in the class.

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The function T(n) in terms of the number of operations is:

T(n) = 2n^3 + 3n^2 + 2n + 1 and the asymptotic complexity of the matrix multiplication algorithm is O(n^3).

To analyze the provided pseudo code for matrix multiplication and determine the function T(n) in terms of the number of operations, we need to examine the code and count the number of operations performed.

The pseudo code for matrix multiplication may look something like this:

```

MatrixMultiplication(A, B):

   n = size of matrix A

   C = empty matrix of size n x n

   for i = 1 to n do:

       for j = 1 to n do:

           sum = 0

           for k = 1 to n do:

               sum = sum + A[i][k] * B[k][j]

           C[i][j] = sum

   return C

```

Let's break down the number of operations step by step:

1. Assigning the size of matrix A to variable n: 1 operation

2. Initializing an empty matrix C of size n x n: n^2 operations (for creating n x n elements)

3. Outer loop: for i = 1 to n

- Incrementing i: n operations  

- Inner loop: for j = 1 to n

- Incrementing j: n^2 operations (since it is nested inside the outer loop)

- Initializing sum to 0: n^2 operations

- Innermost loop: for k = 1 to n

- Incrementing k: n^3 operations (since it is nested inside both the outer and inner loops)

- Performing the multiplication and addition: n^3 operations

- Assigning the result to C[i][j]: n^2 operations

- Assigning the value of sum to C[i][j]: n^2 operations

Total operations:

1 + n^2 + n + n^2 + n^3 + n^3 + n^2 + n^2 = 2n^3 + 3n^2 + 2n + 1

Therefore, the function T(n) in terms of the number of operations is:

T(n) = 2n^3 + 3n^2 + 2n + 1

To determine the asymptotic (big O) complexity of the algorithm, we focus on the dominant term as n approaches infinity.

In this case, the dominant term is 2n^3. Hence, the asymptotic complexity of the matrix multiplication algorithm is O(n^3).

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Answer:

1,2,5

Step-by-step explanation:

That is just the definition of an element :) the other two answers contradict these.

The artifact was made approximately 5730 years ago.

Carbon-14 dating is a radioactive isotope dating method that is used to determine the age of organic materials that are up to 50,000 years old. The decay of carbon-14 can be used to determine the age of ancient organic materials. When an organism dies, the carbon-14 in it decays at a known rate. A wooden artifact from an ancient tomb contains 50% of the carbon-14 that is present in living trees. The age of the wooden artifact can be determined using the formula t = ln (N0/N)/k where t is the age of the artifact, N0 is the initial amount of carbon-14, N is the present amount of carbon-14, and k is the decay constant. First, let's find the decay constant of carbon-14.

Carbon-14 has a half-life of 5730 years, so k = 0.693/5730 = 1.21x10^-4. The amount of carbon-14 in living trees is 100%, and the wooden artifact has 50%, so N0/N = 2. Now, we can plug in the values into the formula and solve for t.t = ln (N0/N)/k = ln 2/1.21x10^-4 = 5730 years (to the nearest year). Therefore, the artifact was made approximately 5730 years ago.

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Answer:

[6] 10:2

[7] 5:4

[8] 2:4

[9] 2:5

[10} 5:21

Step-by-step explanation:

Important info Given:

Farmer grew 5 acres of watermelons, 2 acres of peppers, 4 acres of tomatoes, and 10 acres of corn.

Questions:

[6] What is the ratio of acres of corn to acres of peppers?

    10:2

[7] What is the ratio of watermelons to acres of tomatoes?

    5:4

8. What is the ratio of peppers to acres of tomatoes?

     2:4

9. What is the ratio of peppers acres of watermelons?

2:5

10. What is the ratio of watermelons to total acres?

5:21

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You might need to Simplify

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[RevyBreeze]

The distances between each pair of points are as follows:

1. (1, -4.6) and (3, -7): 3.12 (rounded to two decimal places)

2. (-6, -5) and (2, 0): √89 (exact value)

M = (-12, -1) and M = (4, 0): √257 (exact value)

4. (0, -8) and (3, 2): √109 (exact value)

3. (-1, 4) and (1, -1): √29 (exact value)

We may use the distance formula to calculate the separation between each pair of points:

d = √((x₂ - x₁)² + (y₂ - y₁)²),

where the two points' coordinates are represented by (x1, y1) and (x2, y2), respectively.

Let's determine the separation between each pair of points:

1. (1, -4.6) and (3, -7):

d = √((3 - 1)² + (-7 - (-4.6))²)

= √(2² + (-2.4)²)

= √(4 + 5.76)

= √9.76

= 3.12 (rounded to two decimal places)

2. (-6, -5) and (2, 0):

d = √((2 - (-6))² + (0 - (-5))²)

= √(8² + 5²)

= √(64 + 25)

= √89 (exact value)

M = (-12, -1) and M = (4, 0):

d = √((4 - (-12))² + (0 - (-1))²)

= √(16² + 1²)

= √(256 + 1)

= √257 (exact value)

4. (0, -8) and (3, 2):

d = √((3 - 0)² + (2 - (-8))²)

= √(3² + 10²)

= √(9 + 100)

= √109 (exact value)

3. (-1, 4) and (1, -1):

d = √((1 - (-1))² + (-1 - 4)²)

= √(2² + (-5)²)

= √(4 + 25)

= √29 (exact value)

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The estimated standard error and measures of effect size such as r2 and Cohen's d larger variance increases the standard error but decreases measures of effect size. B.

Larger variance increases the standard error but decreases measures of effect size.

The standard error is a measure of how much the sample mean is likely to vary from the true population mean.

It is calculated as the standard deviation of the sample divided by the square root of the sample size.

If the sample variance is large, the standard deviation of the sample will also be large, resulting in a larger standard error.

Measures of effect size, such as r2 and Cohen's d, indicate the strength of the relationship between variables or the size of the difference between groups, respectively.

Larger sample variances indicate greater variability in the data, which can make it more difficult to detect significant effects.

This can result in smaller effect sizes, as the magnitude of the effect is reduced relative to the variability in the data.

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Rounding to the nearest tenth of a meter, we get the width of the rectangle to be approximately 7.5 meters.

Area is a measure of the size of a two-dimensional surface, such as the surface of a plane or a geometric shape. It is usually measured in square units, such as square meters (m²) or square feet (ft²).

Here,

Let's assume that the width of the rectangle is x meters. Then, according to the problem statement, the length of the rectangle is 3x meters. The area of a rectangle is given by the formula:

A = length x width

Substituting the values from the problem statement, we get:

170 = (3x) x (x)

Simplifying and solving for x, we get:

3x² = 170

x² = 56.67

x ≈ 7.5

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Answer:

Mean:

10.5+9.2+0+9.3+10.4+9.2=48.6

48.6 divded by 6 =8.1

Median is 9.3

Mode is 9.2

Step-by-step explanation:

Answer:

a number times the square root of two less than a number times the square root of two is equal to two times a number.

Step-by-step explanation:

Answer:

Jake need 5.59 cup of sugar

Therefore, Drug C has a stronger impact on cell survival compared to Drug A, making it the drug with the greatest effect.

To draw a representation of the survival curve and identify the drug that has the greatest effect on cell survival, we can use a graph where the x-axis represents the drug concentration in μg/ml, and the y-axis represents the percentage of cell survival.

Since Drug B has no IC90 value, it means that it does not reach a concentration that causes a 90% reduction in cell survival. Therefore, we can assume that Drug B has no significant effect on cell survival and can omit it from the survival curve.

For Drug A and Drug C, we have IC90 values of 5 and 3 μg/ml, respectively. This means that when the drug concentration reaches these values, there is a 90% reduction in cell survival.

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The surface area of the new single-serving soup can, with a volume ratio of 24:8, will be approximately 11.164 square inches.

To determine the surface area of the new single-serving soup can, we can use the concept of ratios and proportions.

Let's assume the radius of the large can is represented by R and the radius of the single-serving can is represented by r.

The volume of a cylinder can be calculated using the formula V = πr^2h, where V is the volume, r is the radius, and h is the height.

We know that the large can has a volume of 24oz, so we have:

24 = πR^2h

Now, we need to find the height of the single-serving can. Since the large can and the single-serving can have the same height (we assume), we can set up a ratio of their volumes:

24/8 = πR^2h / πr^2h

Simplifying the equation, we have:

3 = (R^2h) / (r^2h)

Since the height cancels out, we can rewrite the equation as:

3 = R^2 / r^2

To find the ratio of the surface areas, we square both sides of the equation:

9 = (R^2 / r^2)^2

Now, we can find the surface area ratio:

100.48 / A = 9

Solving for A (the surface area of the single-serving can), we have:

A = 100.48 / 9

Calculating the value, we find that the new single-serving surface area will be approximately 11.164 in².

Therefore, the new single-serving soup can will have a surface area of approximately 11.164 square inches.

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Answer:

f(x)=X^2+4

f(x)=42

42=X^2+4

X^2+4=42

X^2=42-4

X^2=38

X=sqrt(38)=6.16

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