Simplify the expression:

−2m + 4p +5m −p+3

7m + 3p + 3

7m + 5p + 3

No terms are alike.

3m + 3p + 3

3m + 5p + 3

Answer:

Step-by-step explanation:

Answer:

Years 3-4 and the percentage change was by 8%. Please vote Brainliest!

Step-by-step explanation:

Answer:

C the greatest growth was between 3 and 4 and about 8%

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

so you want to input the numbers into variables so for (p+q)^2 you input p as 4 and q as 8 (4+8)^2 and then you add 4+8 which is 12. Then you have to do 12 to the power of 2 which is 12x12 and the answer to that is 144. For the bottom you input p as 4 and then for -2q you have to input the 8, -2(8) and that equals to -16 so then it's 4-16 so it equals to -12. Then you have to do -12 divided by 12 which equals to 1.

A p-value of 0.23 in the context of a clinical trial testing a vaccine's effectiveness suggests that the observed reduction in the percentage of individuals catching the virus, when comparing the vaccine group to the control group, is not statistically significant at conventional levels of significance (such as 0.05 or 0.01).

The p-value represents the probability of obtaining the observed data, or data more extreme, under the assumption that the null hypothesis is true.

In this case, the null hypothesis would typically state that there is no difference in the percentage of virus cases between the vaccine and control groups. A p-value of 0.23 indicates that there is a 23% chance of observing the reported reduction in cases or an even more substantial reduction if the null hypothesis were true.

Therefore, based solely on the p-value of 0.23, the best interpretation is that the observed reduction in virus cases could plausibly be due to random variation or chance, rather than a true effect of the vaccine. However, it is important to consider other factors, such as the study design, sample size, and clinical significance of the observed reduction, before drawing final conclusions about the vaccine's effectiveness.

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Step-by-step explanation:

the answer is = 650/50 = 13

so, she got 13, 50 rupee note.

hope this helps.

Answer: B)a + o = 72 a = o + 8

Step-by-step explanation: hopes this helps:))

Answer:

25

Step-by-step explanation:

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97,

Answer:

25

Step-by-step explanation:

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97

Answer:

Distance = x = 5 km

Step-by-step explanation:

Let the distance be x

one hour and 20 minutes can be written in fraction = 1 1/3 = 4/3

Now we wil develop the equation

\(x/6+x/10=4/3\\\)

30 is the common multiple and can be multiplied on both sides for simplification.

equation will be reduced to

\(5x+3x=40\)

Solving for x

\(8x=40\\x=5\)

Answer:

x = 18 cm

Step-by-step explanation:

(4x)^2 = 3(4x)(x+6)

16x^2=3(4x)(x+6)

divide both sides by 4x

4x = 3(x+6)

4x=3x+18

x = 18

Here, r is the distance from the pivot point O to the mass, which is equal to the length of the rod (2.2 m). The rod is horizontal and the bearing is frictionless, meaning that there are no additional forces acting on the system that would affect the moment of inertia.




So, for the given scenario:
I = m * (2.2)^2
Without knowing the mass (m), I cannot provide a numerical value for the moment of inertia. However, once you know the mass, you can plug it into the formula above to calculate the moment of inertia about point O.
The moment of inertia i about o can be calculated using the formula i = (1/3) * m * L^2, where m is the mass of the object attached to the end of the rod, and L is the length of the rod. Since the rod is light and of negligible mass, we can assume that m = 0. Therefore, i = 0.

The terms "horizontal" and "frictionless" in the problem indicate that there is no external force acting on the rod and the bearing is not providing any resistance to the motion of the rod. This means that the rod will remain in a horizontal position and will not experience any frictional forces.

The term "inertia" refers to the tendency of an object to resist changes in its state of motion. In this case, the rod will resist any attempt to move it from its horizontal position due to its inertia.
Hi! To determine the moment of inertia (I) about point O for a light rod of negligible mass and length 2.2 m with a mass (m) attached at the end, you should use the following formula for a point mass:
I = m * r^2

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When the t-value increases, c) The p-value decreases.

The p-value is a measure of the strength of evidence against the null hypothesis. A lower p-value indicates stronger evidence against the null hypothesis and suggests that the alternative hypothesis may be more likely. As the t-value increases, it means that the observed data is further away from the null hypothesis expectation, resulting in a smaller p-value.

The other options listed in your question are not directly related to changes in the t-value:

a) Retaining or rejecting the null hypothesis is determined based on the significance level and the p-value, not solely on changes in the t-value.

b) The decision to retain or reject the alternative hypothesis is not based on changes in the t-value but rather on the strength of evidence against the null hypothesis.

d) The level of significance is predetermined and does not change based on the t-value.

Therefore, the correct answer is that when the t-value increases, the p-value decreases.

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Question:

Solution:

The population growth is given by the following equation:

where P represents the number of individuals and t represents the number of years from the time of introduction. Now, if we have a population of 5656 fish, then the above equation becomes:

this is equivalent to:

this is equivalent to:

this is equivalent to:

now, the inverse function of the root function is the exponential function. So that, we can apply the exponential function to the previous equation:

this is equivalent to:

this is equivalent to:

now, we can apply the properties of the logarithms to the previous equation:

this is equivalent to:

we can conclude that the correct answer is:

9 years

Answer:

x = - 6 , x = 4

Step-by-step explanation:

the absolute value function always gives a positive value but the expression inside can be positive or negative , that is

2x + 2 = 10 or - (2x + 2) = 10

solving both

2x + 2 = 10 ( subtract 2 from both sides )

2x = 8 ( divide both sides by 2 )

x = 4

or

- (2x + 2) = 10

- 2x - 2 = 10 ( add 2 to both sides )

- 2x = 12 ( divide both sides by - 2 )

x = - 6

Therefore , the solution of the given problem of percentage comes out to be 38 years old is the median age.

In statistics, a "a%" is a figure or statistic that is expressed as a percentage of 100. The words "pct," "pct," but instead "pc" are also not frequently used. However, the sign "%" is frequently used to represent it. The percentage sum is flat; there are no dimensions. Percentages are truly integers because their numerator almost always equals 100. Either the % symbol (%) or the additional term "fraction" must come before a number to denote that it is a percentage.

Here,

The following algorithm must be used to determine the mean age:

=> mean = (all years added together) / (total number of persons)

The representative age for each age group is the age that falls in the middle of the range. With this approach, we can determine the total age as follows:

=>18(9) + 23(28) + 28(33) + 33(90) + 38(122) + 56(48) + 48(24) + 76(20) + 1089(0.25)

=> 162 + 644 + 924 + 2970 + 4636 + 2688 + 1152 + 1520 + 272.25

=>18(9) + 23(28) + 28(33) + 33(90) + 38(122) + 56(48) + 48(24) + 76(20) + 1089(0.25)

According to the information provided, there are 460 people in total.

=> mean = 17745.25 / 460

=> mean = 17745.25 / 460

As a result, the average lifespan is roughly 38.552 years.

The age category in this instance with the highest frequency has a midpoint of 38 and a frequency of 122. As a result, 38 years old is the median age.

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Answer:

46.4%

Step-by-step explanation:

total maths=28

girls in maths = 13

13/28 x 100 = 46.4 %

4.8% of voters with annual incomes over $50,000 will be polled, or at least 1,450 of them when an opinion poll of 4,000 (randomly selected) voters is con.ducted

What is probabilty ?

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events. The degree to which something is likely to happen is basically what probability means. You will understand the potential outcomes for a random experiment using this fundamental theory of probability, which is also applied to the probability distribution. Knowing the total number of outcomes is necessary before we can calculate the likelihood that a specific event will occur.

We have,

n = 4000

p = 0.35 , q=1-p=0.65

= E(X) = np= 4000 (0.35) 600 1400

6 = SE(X) = √npq √ 4000 (0-35)(0.65) = 30.1662

Consider

P(X\(\geq\)1450) = p 7

X-U

1450 1400

30.1662

=P(z>1,66)

=0.048457

from standard normal table,

Hence, 4.845% chance that 1,450 or more of the voters with annual incomes above $50,000 will be polled

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Answer:

2nd one: 32-4x=12
4th one:25/x+4=9
5th one : x/5+5=6

Step-by-step explanation:

Substitute x and see if you get the same answer

Answer:

B. 32 − 4x =12

D. 25/x + 4=9

E. x/5 + 5 =6

The greater the discount from fair value, the smaller the liquidity index will be, and the greater the liquidity risk the FI will be exposed to.

The days needed to turn a company's trade receivables or inventory into cash are determined by the liquidity index.

Thus, the liquidity index would be smaller and the FI will be exposed to more liquidity risk the wider the discount from fair value.

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I am not sure if your question is saying f(x) is x² or if it is 2x so I am giving you two answers.

If f(x) is x² the answer for f(g(x))= (x-6)²

If f(x) is 2x the answer for f(g(x))=2x-12

How did I get these answers? For fog, it basically means f(g(x)) so you just plug in what g(x) equals for the variable x in f(x)

Answer:

2n^3

Step-by-step explanation:

n^3 represents the cube of the number n; therefore,

"twice the cube of a number" is 2(n^3) or 2n^3

No, a fraction is not a term. The distributive property can be applied to fractions because it is a general mathematical principle.

A fraction is not considered a term in the traditional sense. It is a mathematical expression that represents division. However, the distributive property can still be applied to fractions because the property itself is a fundamental rule of arithmetic that extends beyond specific types of expressions.

The distributive property states that for any real numbers a, b, and c:

a × (b + c) = (a × b) + (a × c).

When working with fractions, we can apply the distributive property as follows:

Let's consider the expression: a × (b/c).

We can rewrite this as: (a × b)/c.

Now, let's distribute the 'a' to 'b' and 'c':

(a × b)/c = (a/c) × b.

In this step, we applied the distributive property to the fraction (a/c) by treating it as a whole.

Although fractions represent division, we can still use the distributive property because it is a general mathematical principle that allows for manipulating expressions involving addition, subtraction, multiplication, and division.

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The after-tax salvage value be $10,600.

The after-tax salvage value is the market price minus (or plus) the taxes on the sale of the equipment, so:

After-tax salvage value = MV + (BV – MV) tc

1st year Depreciation Amount = $50,000 * 0.20 = $10,000

2nd year Depreciation Amount = $50,000 * 0.32 = $16,000

3rd year Depreciation Amount = $50,000 * 0.19 = $9,500

4th year Depreciation Amount = $50,000 * 0.12 = $6,000

Book Value of machine at the end of 4th year = [$10,000 + $16,000 + $9,500 + $6,000]

Book Value of machine at the end of 4th year = $41,500

Book Value of machine at the end of 4th year = [$50,000 - $41,500]

Book value of machine at the end of 4th year = $8,500

After-tax salvage value = MV + (BV – MV) tc

After-tax salvage value = $12,000 + ($8,500 - $12,000) 40%

After-tax salvage value = $12,000 + (-$1,400)

After-tax salvage value = = $12,000 - $1,400=$10,600

Therefore, the after-tax salvage value be when the machine is sold at the end of year 4 is $10,600.

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The composite function is f(t(p)) = 8e^(4p^2).

First, we need to substitute the expression for t in terms of p into the expression for f. We get:

f(t(p)) = 8e[t(p)]

Now, we can substitute the expression for t in terms of p:

f(t(p)) = 8e[4p^2]

Simplifying the expression, we get:

f(t(p)) = 8e^(4p^2)

Therefore, the composite function is f(t(p)) = 8e^(4p^2).

When working with functions, sometimes it is useful to combine them into a single composite function. To do this, we can substitute the expression for one function into the other and then simplify.

In this problem, we are given two functions, f(t) and t(p), and we are asked to write them as a single composite function using p as the independent variable.

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Answer: 23.75 is a rational number

Step-by-step explanation:

the integer 23.75 is rational because it terminates, it can be written as a fraction 95/4, fraction mixed: 23 3/4

Answer:

The mean of the 10 sales amounts for store A is $40,000.

Step-by-step explanation:

Given;

yˆ= −3,000 + 1.2x ...................... (1)

Where;

x = sales amounts each day at store A or the mean of the 10 sales amounts for store A = ?

yˆ = sales amounts each day at store B or the mean of the 10 sales amounts for store B = $45,000

Substituting y = 45,000 into equation (1) and solve for x, we have:

45,000 = −3,000 + 1.2x

45,000 + 3,000 = 1.2x

48,000 = 1.2x

x = 48,000 / 1.2

x = 40,000

Therefore, the mean of the 10 sales amounts for store A is $40,000.

Answer:

1. -5

2. -6

3. -10

Step-by-step explanation:

There are x = - 6, -7,  and - 8 three values for variable x that would make 5x < -20 true.

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

We have been given that the inequality is below as

⇒ 5x < -20   ...(i)

⇒ 5x / 5 < -20 / 5

⇒ x < - 4

Thus, all the negative values which are less than -4 for x would make it true.

For example, we take x = -8

Substitute the value of x = -8 in the inequality (i),

⇒ 5(-8) < -20

⇒ - 40 < -20

This is true.

Similarly x = - 6, and - 7 also for x would make it true.

Hence, there are x = - 6, -7,  and - 8 three values for variable x that would make 5x < -20 true.

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Answer:

5.2 feet.

Step-by-step explanation:

The useful equation to use for this problem is sine. Given the angle of measure 64 degrees, we have O (opposite) and H (hypotenuse).

From SOH CAH TOA, we see that we have O and H, so thus we should use sine.

Sine of any angle= opposite/hypotenuse.

Sine of 64= x/5.8

Sine of 64 (times 5.8)=x

x= 5.2 feet.

Additionally, you could use a right triangle calculator to solve for side x.

Answer:

Step-by-step explanation:

sin 64=x/5.8

x=sin64* 5.8

x=0.92*5.8

x=5.3

Answer:

  A.  -5

Step-by-step explanation:

You want the slope of a graphed line that crosses grid points (0, 2) and (1, -3).

The sign of the slope is positive if the line goes up to the right. This line goes down to the right, so the sign of its slope is negative. (Eliminates choices C and D)

The magnitude of the slope is the ratio of vertical distance to horizontal distance between two points. This line drops 5 vertical squares for each square to the right, so its slope is ...

  rise/run = -5/1 = -5

The slope is best represented by -5.

__

Additional comment

From a point on the line that is a crossing of grid lines, if the line crosses the next vertical grid line before it crosses the next horizontal grid line, the magnitude of its slope is less than 1.

Here, the line crosses several horizontal grid lines before it crosses another vertical grid line, so its slope has a magnitude greater than 1. When the choice is between -5 and -1/5, the larger magnitude number is -5.

From two points on the line, you can find the slope using the formula ...

  m = (y2 -y1)/(x2 -x1)

  m = (-3 -2)/(1 -0) = -5/1 = -5 . . . . . . using points (0, 2) and (1, -3)

Answer:

x = 17

Step-by-step explanation:

Assuming you require to find x

4x - 3 and 115 are same- side interior angles and supplementary, sum to 180°

4x - 3 + 115 = 180

4x + 112 = 180 ( subtract 112 from both sides )

4x = 68 ( divide both sides by 4 )

x = 17