(x-6) (x³ + 4x³ + 6x² + 2x)

Answer:

b and c

Step-by-step explanation:

Like terms are numbers that have the same variable and/or exponent. You can combine them to simplify equations.

3x+2x+3y-7y=5x-4y

3x and 2x are like terms because they share a variable of x. You can add them which gives you 5x. 3y and -7y are also like terms so they can be combined to make -4y.

2x+1+7x=9x+1

2x and 7x are like terms so they can be added for a sum of 9x.

Answer:

7/16 inches or 0.4375 inches

Step-by-step explanation:

Length of insect (L) = 7/8 inches

According to question,

Length of tail = 1/2 of L

= 1/2 * 7/8

= 7/16 inches or 0.4375 inches

x⁴⁸ = x/2

Multiply to remove the fraction, then set equal to

0

and solve.

Exact Form:

x

=

0

,

1

47

√

2

Decimal Form:

0,0.98536040

The distance between the complex plane's origin (0, 0) and the point (a, b) is what is known as the absolute value of a complex number, a+bi (also known as the modulus).

Without taking into account direction, absolute value defines how far a number is from zero on the number line. A number's absolute value can never be negative. Look at some illustrations. 5 is the sum of its absolute values. There are 5 units between 5 and 0. A number's absolute value is determined by how far it is from zero on the number line. For instance, the absolute value of -7 would be 7, as it is 7 units away from zero. Additionally, since 0 is 7 units distant, the value of 7 would likewise be 7.

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Answer:

is there any other parts to this question if so please give so i can solve

Step-by-step explanation:

A circular arc has measure and is intercepted by a central angle of radians.

The radius (r) of circle is 1.91 m

Here given data :

• circular arc (s)  = 5 cm

• Angel  (A)  = 5π/6

We know that the following formula is,

        Length arc  = radius  × angel  

      =>   Radius (r) =  Length / angel

      =>   Radius (r) =  5 m / (5π /6)

        =>   Radius (r) = ( 5 × 6 / 5π ) m

        =>  Radius  (r) =   6/π m

        =>  Radius  (r) =   1.91 m

Therefore, radius of the circle is 1.91 m.

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During the fundraiser, Ada made $52.

How would you define a fundraiser?

An occasion for raising money for a cause, charity, or non-profit group is known as a fundraising event (also known as a fundraiser).

Which one has two variables in a linear equation?

Therefore, a linear equation in two variables is any equation that can be written in the form ax + by + c = 0, where a, b, and c are real values, and a and b are not equal to zero.

Given specifications:

We must approach this issue methodically if we are to find a solution.

Let Manny's fundraising total equal M.

Ada's fundraising total = A

Let's now proceed sentence by sentence through the issue and explain it algebraically;

Ada raised more money ($7) than Manny did.

Algebraically;

M = 2A - 7 ——- (I)

Ada earned $45 less than Manny did.

M = A + 45 ——- (II)

Now that two equations have been established, we may equalize them and find A;

2A - 7 = A + 45

2A - A = 45 + 7

A = 52

During the fundraiser, Ada made $52.

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Answer:

$1,480.24

Step-by-step explanation:

An investment of $1,000 made today will be worth $1,480.24 in five years at interest rate of 8% compounded semi-annually.

The sample size 350 should be taken to provide a 95% confidence interval with a margin of error of 0.05.

According to the statement

We have to find that the sample should be taken to provide a confidence interval with a margin of error.

For this purpose, we know that the

The  confidence interval is the probability that a population parameter will fall between a set of values for a certain proportion of times.

And

With the given information

In the survey as

p* = 0.35

confidence interval=95%

E=margin of error = 0.05

and then

[tex]a=(\frac{z}{E} )^{2} *pq[/tex]

and substitute the values

[tex]a=(\frac{1.96}{0.05} )^{2} *0.35*0.65[/tex]

then the sample is 350.

So, The sample size 350 should be taken to provide a 95% confidence interval with a margin of error of 0.05.

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60 percent of the players scored more than 10 points if three of the five basketball players scored more than 10 points.

What is the percentage?

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

It is given that:

Three of the five basketball players scored more than 10 points.

Total number of basketball players = 5

The number of players who scored more than 10 points = 3

In fraction:

= 3/5

= 0.6

To convert the above fraction into the percentage multiply it by 100:

= 0.6x100

The percent of the players scored more than 10 points = 60%

Thus, 60 percent of the players scored more than 10 points if three of the five basketball players scored more than 10 points.

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The segment addition postulate states that if we are given two points on a line segment, A and C, a third point B lies on the line segment AC if and only if the distances between the points meet the requirements of the equation AB + BC = AC. See Diagram 1 to gain a clearer understanding of this postulate definition.

Remember that a line segment is part of a line bound by two clear end points. It is comprised of a bunch of points between those two end points.

An easier way of stating the segment addition postulate is that if point B lies on line segment AC, then AB + BC will equal AC. That seems pretty simple, does it not?

The linear equation for g is g(r)= (19/5)r - 33.

Parallel lines have the same slope.  Therefore, line g(10)=5 and line q(r)=19/5 r+6 have the same slope of 19/5.

Apply slope m=19/5, and point (r=10, g=5) to line function g, we will find the y-intercept of the linear function g :

5 = 19/5 * 10 + b

solving for b we get,

b=-33

Substitute m=19/5 and b=-33 to slope-intercept form of the g function for the linear function we are looking for:

g(r)= (19/5)r - 33

Therefore, the linear function of g is g(r)= (19/5)r - 33

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The Perimeter of equilateral triangle with side length 6 mi is given by 18 meter.

Given the equation is, P = 3s

where P is the perimeter of equilateral triangle with side length of s.

Now given that the side length of triangle is 6 mi.

So, s = 6 mi

Thus, the perimeter of such triangle is, P = 3*6 = 18 mi.

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Answer: Sir would you like me to give you an example to this or answers??

Step-by-step explanation:...

It can be inferred that there is a statistically significant result if the confidence interval excludes the value of zero effect.

Confidence Interval;

In statistics, confidence is another word for probability. For instance, if you create a confidence interval with a 95% confidence level, you can be sure that 95 times out of 100 the estimate will fall between the upper and lower values indicated by the confidence interval.

Therefore,

The confidence level is 95% if your significance level is 0.05. The hypothesis test is statistically significant if the P value is lower than your significance (alpha) level. The findings are statistically significant if the confidence interval excludes the null hypothesis value. 0

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Rewriting the expression with bracket and parentheses in numerical expression is: [(3^2 + 7) * 4] + 5.

In numerical expression, the brackets and parentheses are mathematical symbols that are used in pairing the group things together or specify the order of operations. These are used in creating or solving equations, helping in grouping numbers and defining the order of operations.  Parentheses are curved ( ), brackets are square [ ], and braces are curly { }. In indicating the order of operations, the innermost parentheses are calculated first, followed by the brackets (which form the next layer), followed by braces (which form a third layer outwards).

The given expression written with parentheses and brackets to be equivalent to 69 is:

[(3^2 + 7) * 4] + 5

[(9 + 7) * 4] + 5

[16 * 4] + 5

64 + 5

69

Note: The question is incomplete: The complete question is A printing error in a math book removed the brackets and parentheses from a numerical expression. Rewrite the expression 32 + 7 x 4 + 5 with parentheses so that it is equivalent to 69.

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Answer:

Step-by-step explanation:

We will find the 41st term of the given arithmetic sequence is equal to 88.

Answer:2x

Step-by-step explanation:

Answer:

180

Step-by-step explanation:

sheet : grams

  15    :    250

   x     :    3000

3000*15 = 250x

45000 = 250x

45000/250 = x

x = 180

Answer:

(0, -2)

Step-by-step explanation:

What is the y-intercept of the line 6x – 9y = 18?

(0, -2)

(0, 3)

(3, 0)

(-2, 0)

You need to solve for y:

6x – 9y = 18

6x – 9y  - 6x = 18 - 6x

– 9y = 18 - 6x

– 9y/-9 = 18/-9 - 6x/-9

y = - 2 + 2/3x

or:

y = 2/3x - 2

y-intercept is: (0 , -2)

Answer:

(0, - 2 )

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given

6x - 9y = 18 ( subtract 6 from both sides )

- 9y = - 6x + 18 ( divide through by - 9 )

y = [tex]\frac{2}{3}[/tex] x - 2 ← in slope- intercept form

with y- intercept c = - 2 , that is (0, - 2 ) in coordinate form

The expression to represent your monthly earnings would be 4550x - 400y.

What are the linear equations in two variables?

A linear equation in two variables is one that is written in the form ax + by + c=0, where a, b, and c are real numbers and the coefficients of x and y, i.e. a and b, are not equal to zero. For example, 10x+4y = 3 and -x+5y = 2 are two-variable linear equations.

Let the number of clients signed be 'x' and the number of clients whose business lose for the company be 'y'.

For each client signed company will earn = $4300 + $250

and for every client, y, whose business you lose for the company the penalty would be = $400

So we can prepare the equation for total monthly earning as

Monthly earning = (4300 + 250)x - (400)y

                            = 4550x - 400y.

Hence, the expression to represent your monthly earnings would be

4550x - 400y.

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For the value of L = 144.48, the probability of having L greater than the mean glucose level of Shelia is 0.02.

Here it is given that Sheila's glucose level follows a normal distribution with a mean of 128 mg/dl and a standard deviation of 8 mg/dl

L is the patient's blood test level.

It is given that the probability that the mean glucose level i.e 128 mg/dl is above L is 0.02.

We need to find L

We know

P(128>L) = 0.02

or, 1 - P(128 ≤ L) = 0.02

or, P(128 ≤ L) = 0.98

We know that for any Normal distribution we find the probability by converting it to standard form and then checking the p-value.

P(X < x) = Φ[(x - μ)/σ]

where,

μ = mean

σ = standard deviation

Therefore,

Φ[(L - 128)/8] = 0.98

we see that for a Z score of 2.06,

Therefore we get

(L - 128)/8 = 2.06

or, L - 128 = 16.48

or, L = 128 + 16.48

= 144.48

Therefore, the value of L would be 144.48

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Complete Question

Shelia's doctor is concerned that she may suffer from gestational diabetes (high blood glucose levels during pregnancy). There is variation both in the actual glucose level and in the blood test that measures the level. A patient is classified as having gestational diabetes if the glucose level is above 140 milligrams per deciliter one hour after a sugary drink is ingested. Shelia's measured glucose level one hour after ingesting the sugary drink varies according to the Normal distribution with a mean of 128 mg/dl and a standard deviation of 8 mg/dl. Let L denote a patient's glucose level.

If measurements are made on four different days, find level L such that there is a probability of only 0.02 that the mean glucose level of four test results falls above L for Shelia's glucose level distribution. What is the value of L?

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The density of the metal will be 2700 kilograms per cubic meter.

The quantity of molecules in a given volume is referred to as density. Kg/m2 is the unit of measurement for density. density is a scalar quantity. Higher densities result in more molecules being present in a given volume. After that, the density is given as,

Volume / Mass equals density.

A chunk of metal weighs 9.45 grams. 3.5 cubic centimeters of volume.

The density of the aluminum is then specified as,

D = 9.45 / 3.5

In grams per cubic centimeter, D = 2.7.

2700 kilograms per cubic meter is the same as D.

The density of the aluminum will be 2700 kilograms per cubic meter.

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The bolts in total are in the box is 6200

How do percentages work?

percentage is a relative number that is used to represent hundredths of any quantity. Since one percent (1%) equals one hundredth of something, 100 percent denotes the entire amount, and 200 percent denotes twice the amount mentioned.

What use does % serve?

The easiest approach to use percentages is to compare two amounts while setting the second amount's base to 100. Assume for the moment that we are interested in the percentage of women who are working.

Based on the given conditions, formulate: 62 x 100/1

Divide a fraction by multiplying its reciprocal:62 x 100

get the result:6200

Answer: 6200

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The value of the expression are as follows

An algebraic expression consists of unknown variables, numbers and arithmetic operators.  It does not contain any equality or inequality symbols.

Let's solve the expression by substituting the actual values of the variables.

a.

5x when x = 6

5x = 5(6) = 30

b.

3y when y = -7

3y = 3(-7) = -21

c.

10z when z = 0.8

10z = 10(0.8) = 8

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There are total 18 markers in the box.

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem. The formula to calculate the probability of occurrence of an event 'A' can be written as -  

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

where -

n(A) = Number of outcomes favorable to event A.

n(S) = Total number of outcomes

Given is that there are 3 black markers in a bin. The probability that a marker selected at random is black is -

P(black marker) = 1/6

Assume that there are [x] markers in the box. Then, we can write -

P(black marker) = 3/x

1/6 = 3/x

x = 18

Therefore, there are total 18 markers in the box.

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Answer:

At the beginning, the object has zero speed, and then it begins to accelerate. After accelerating for a time, the object stops accelerating, and its speed remains constant.

Answer:

The correct answer would be 100.

Step-by-step explanation:

542.9 divided by 5.429, would be 100.

Therefore, the correct answer is 100.

Answer:

100

Step-by-step explanation:

[tex]\frac{542.9}{5.429}[/tex] = 100

Check

[tex]\frac{542.9}{100}[/tex] =