Which could be the first step in solving the equation 0.05x+3−0.02x=4
?

Answer:

C

Step-by-step explanation:

Prime numbers are only divisible by themselves and 1  ....all even numbers are divisible by '2' ,  so all primes are odd numbers

Applying the triangle midsegment theorem:

a. x = 17; y = 2

b. Length of DF = 20 units.

The triangle midsegment theorem states that the midsegment of a triangle is always parallel to the third side, and has a length that is half the length of the third side of the triangle.

GH is said to be the midsegment of triangle DEF, therefore:

a. GH = 1/2(EF) [triangle midsegment theorem]

Substitute

x - 3 = 1/2(28)

2(x - 3) = 28

2x - 6 = 28

2x = 28 + 6

2x = 34

2x/2 = 34/2

x = 17

HF = x - 7

Plug in the value of x

HF = 17 - 7

HF = 10

HF = DH = 10

y + 8 = DH

y + 8 = 10

y = 10 - 8

y = 2

b. Length of DF = HF + DH

Length of DF = 10 + 10 = 20 units.

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Answer:

B

Step-by-step explanation:

We can notice that based on the given pattern, the average rate of change from [tex]x=n[/tex] to [tex]x=n+1[/tex], where [tex]n \in \mathbb{Z}[/tex], is [tex]-2n-1[/tex].

So, the average rate of change from [tex]x=8[/tex] to [tex]x=9[/tex] is [tex]-2(8)-1=-17[/tex].

The rate of change for the interval from x = 8 to x = 9 is -17.

The pace at which one quantity changes in relation to another quantity is known as the rate of change function. Simply said, the rate of change is calculated by dividing the amount of change in one item by the equal amount of change in another.

The relationship defining how one quantity changes in relation to the change in another quantity is given by the rate of change formula.

We know the standard form of quadratic function

y = a (x - b)² + c with vertex (b, c)

Since the vertex is (0, -1) then b= 0, c= -1.

Then, the quadratic equation is:

y= ax² - 1 passes through (1, 2), (2, -5),.....

So, the rate of change in interval (8, 9) is

= y(9)- y(8)/ (9-8)

= -9² -1 - 8² - 1/ 1

= -17.

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The graph of the cubic equation, f(x) = x³ - 10x² + 16x, is shown below

From the question, we are to determine graph of the given cubic equation.

The given cubic function is

f(x) = x³ - 10x² + 16x

To graph the equation, we will determine the value of f(x) for certain values of x

When x = 0

f(x) = x³ - 10x² + 16x

f(x) = (0)³ - 10(0)² + 16(0)

f(x) = 0

When x = 2

f(x) = x³ - 10x² + 16x

f(x) = (2)³ - 10(2)² + 16(2)

f(x) = 0

When x = 5

f(x) = x³ - 10x² + 16x

f(x) = (5)³ - 10(5)² + 16(5)

f(x) = -45

When x = 8

f(x) = x³ - 10x² + 16x

f(x) = (8)³ - 10(8)² + 16(8)

f(x) = 0

When x = 10

f(x) = x³ - 10x² + 16x

f(x) = (10)³ - 10(10)² + 16(10)

f(x) = 160

Using the determined points above, the graph of the cubic equation is shown below

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The recursive formula of the arithmetic sequence calculator -5, -25, -45, and -65 is an = -20n + 15

The arithmetic sequence is

-5,-25,-45,-65

The initial term = -5

The common difference = The second term - The first term

= -25 - (-5)

= -25 + 5

= -20

The nth term of the arithmetic sequence is

an = a+(n- 1)d

When an is the nth term

a is the initial term

d is the common difference

Substitute the values in the equation

an = -5 +(n-1)( -20)

Apply the distributive property

an = -5 -20n + 20

an = -20n + 15

Hence, the recursive formula of the arithmetic sequence calculator -5,-25,-45,-65 is an = -20n + 15

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By calculating the percentage of earnings, we find out that Gary earns more money in one week as compared to Tara. Gary earns $900 and Tara earns $705 in one week. Therefore, the last option is correct.

It is given to us that -

Gary and Tara work as tutors at two different test prep companies

In a week, Gary earns 45% of the $2000 collected from the pupils

In the same week, Tara earns 20% of the $3,525 collected from the pupils

We have to find out who earns more money in a week.

We know that, in a week, Gary earns 45% of the $2000 collected from the pupils. This implies earning of Gary in a week

= 45% of 2000

= $900

Similarly, we know that, in the same week, Tara earns 20% of the $3,525 collected from the pupils. This implies earning of Tara in  the same week

= 20% of 3,525

= $705

Thus, by calculating the percentage of earnings, we can see that Gary earns more money in one week. Gary earns $900 and Tara earns $705 in one week. Therefore, the last option is correct.

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Quotient is 51.97 by dividing 2,183 by 42. A quotient is the amount that results from dividing two numbers.

One of the four fundamental arithmetic operations, or how numbers are combined to create new numbers, is division. The additional operations are multiplication, addition, and subtraction.

Multiply the first fraction by the reciprocal of the second to divide rational expressions. We factor everything and search for common factors after rewriting the division as multiplication of the first statement by the reciprocal of the second. Separate logical expressions.

The number 2183 is called the numerator or dividend, and the number 42 is called the denominator or divisor.

The quotient of 2183 and 42, the ratio of 2183 and 42, as well as the fraction of 2183 and 42 all mean (almost) the same:

2183 divided by 42, often written as 2183/42.

2183/42 = 51.97

The answer that is quotient is 51.97

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The mistake she done is that the acutal quotient is 51.97.

The number 2183 is called the numerator or dividend, and the number 42 is called the denominator or divisor.

The quotient of 2183 and 42, the ratio of 2183 and 42, as well as the fraction of 2183 and 42 all mean (almost) the same:

2183 divided by 42, often written as 2183/42.

2183/42 = 51.97

The answer that is quotient is 51.97

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Answer:

3816

Step-by-step explanation:

Calculated using unit rates, Steven's birthday party will cost him $ 708 if he were to invite 59 guests.

If the party will cost him $168 for him to invite 14 guests, then we will need to calculate the cost for each guest using unit rates.

if 14 guests = $168,

1 guest = 168/14 = $12

so it will cost him $12 per guest he invites

Knowing that each guest will cost him $12, then if Steven wants to invite 59 guests to his birthday party, he will be spending:

59 × $12 = $708

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The equation,  y + x = 45 and 2y + 2x = 6 has No Solution .

In the question ,

it is given that ,

the equations are y + x = 45 and 2y + 2x = 6 .

y = 45 - x

Substituting the value of y = 45 - x in the equation 2y + 2x = 6

we get ,

2(45 - x) + 2x = 6          ...by using associative property

Simplifying further ,

we get

90 - 2x + 2x = 6

90 = 6                   .....because   -2x+2x = 0

we know that 90 ≠ 6 ,

hence , the equations have No Solution .

Therefore , The equation,  y + x = 45 and 2y + 2x = 6 has No Solution .

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The distance between these two cities on a different map with a scale 1:300,000 is 4vm

From the information, on the map with a scale 1: 100,000, the distance between two cities is 12 cm.

In this case, the distance between these two cities on a different map with a scale 1:300,000 will be:

= (100000 / 300000) × 12

= 1/3 × 12

= 4cm

The distance is 4cm.

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Answer:

(14x +49)^2

Step-by-step explanation:

PLEASE GIVE BRAINLIEST THANK YOU!!!

Answer:

1.Based on the data, this is an example of correlation and causation.

2.The slope is −0.3, which indicates a negative correlation.

3.$5972.65

4.16,800 to 26,700 total hours spent in the park.

5. -3.25

6.Causation cannot be proven because poor eyesight can occur for other reasons, such as genetics.

7.The y-intercept is 20. This is the cost of registration.

8.Correlation, because time of day doesn't cause a person to run faster or slower

9.$53,700

10.0.33

Please mark as brainliest :)))

Comment if u need explanation of any answer

Answer:

-2/3

Step-by-step explanation:

If Sharifa's white ball rolled 143 centimeters in 4 seconds and her green ball rolled 112 centimeters in 3 seconds. The ball that rolled at a greater is: B: green ball.

Using this formula to find the fastest and the slowest speed

Speed for white ball :

Speed for white ball = 143 centimeters /4 seconds

Speed for white ball = 34.75

Speed for green ball:

Speed for green ball = 112 centimeters /3 seconds

Speed for green ball= 37.33

37.33 is greater than 34.75 which means that green ball is the fastest.

Therefore the correct option is B.

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[tex](\stackrel{x_1}{-1}~,~\stackrel{y_1}{5})\hspace{10em} \stackrel{slope}{m} ~=~ - 3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{5}=\stackrel{m}{- 3}(x-\stackrel{x_1}{(-1)}) \implies y -5= -3 (x +1) \\\\\\ y-5=-3x-3\implies {\Large \begin{array}{llll} y=-3x+2 \end{array}}[/tex]

The 99% confidence interval indicate that a majority of all american adults blame barack obama a great deal or a moderate amount for u.s. economic problems is (0.571, 0.489).

In the given question we have to find the confidence interval indicate that a majority of all american adults blame barack obama a great deal or a moderate amount for u.s. economic problems.

Gallup surveyed 1,004 american adults.

So n=1004

The results showed that 53% of respondents blamed barack obama a great deal or a moderate amount.

So p=53% = 0.53

The 99% confidence  interval for the proportion of all american adults who blame barack obama a great deal or a moderate amount for u.s. economic problems is

CI=p±z× √{p(1−p)}/n

Now finding the value of z for 99% confidence interval.

The z critical value at 99% confidence interval is 2.575.

Now putting the value

CI=0.53±2.575× √{0.53(1−0.53)}/1004

CI=0.53±2.575× √(0.53*0.47)/1004

CI=0.53±2.575× √0.2491/1004

CI=0.53±2.575× √0.00025

CI=0.53±2.575× 0.0158

CI=0.53±0.0407

CI=(0.53+0.0407, 0.53−0.0407)

CI=(0.571, 0.489)

Hence, the 99% confidence interval indicate that a majority of all american adults blame barack obama a great deal or a moderate amount for u.s. economic problems is (0.571, 0.489).

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Exponent rules for addition and subtraction are identical to one another. As a reminder, all terms' bases must be the same in order to remove terms with exponents. All terms' exponents must be equal.

A number written as a superscript over another number is known as an exponent. In other words, it means that the base has been elevated to a particular level of power. Other names for the exponent are index and power. mn indicates that m has been multiplied by itself n times if m is a positive number and n is its exponent.

Given,

Adding and subtracting to multiplying and dividing bases with different exponents.​

Exponent rules for addition and subtraction are identical to one another. As a reminder, all terms' bases must be the same in order to remove terms with exponents. All terms' exponents must be equal.

The exponents and variables must match in order to add exponents. The exponents are left constant while the variable coefficients are added. The addition only includes terms with the same variables and powers. Exponents can be multiplied and divided according to this rule.

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Answer:

x = -2

Step-by-step explanation:

2(x + 9) - 15 = -3  Distributive property

2(x) + 2(9) -15 = -3

2x +18 - 15 = -3  Combine like terms

3x + 3 = -3   Subtract 3 from both sides

3x = -6  Divide both sides by 3

x = -2

No, there isn't any statistical proof because, according to the simulation, Audrey would sell at least 7 out of the 30 chosen tickets roughly 13.8% of the time.

What exactly is statistical proof?

A type of explanation known as statistical evidence is one that is based on information that has been gathered and then assessed using a mathematical model.

Based on the information provided, the students created the following simulation:

Choose 88 red chips and the rest 600 blue chips.

30 chips are chosen at random, with no replacements.

When choosing the 30 chips, keep track of and record the amount of red chips.

Therefore, we may say that there is no statistical proof that the occurrence happened by chance alone at = 0.05.

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The probability that the mean GPA of a random sample of 20 students selected from this university  is 3.10 or higher is 10.93%

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Problems of normally distributed samples are solved using the z-score methods.

We know that, in a set with mean and standard deviation , the z-score of a measure X is given by:

                              Z = X - μ/σ

After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean  and standard deviation , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean  and standard deviation .

For a Skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this problem, we have that:

μ = 3.02 , σ = 0.29 , n = 20 and s = 0.29/√ 20 = 0.0648

Find the probability that the mean GPA of a random sample of 20 students selected from this university is 3.10 or higher.

This is 1 subtracted by the p- value of Z when X = 3.10. So

By the Central Limit Theorem:

             Z = X - μ / s

       ⇒  Z = 3.1 - 3.02/ 0.0648

       ⇒ Z = 1.23

The Z = 1.23 has a P- value of 0.8907

∴ 1 - 0.8907 = 0.1093

Now, for  getting the percentage,

0.1093 × 100% = 10.93%

10.93% probability that the mean GPA of a random sample of 20 students selected from this university is 3.10 or higher.

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The point cannot be included in the function is (7, 2). Therefore, option C is the correct answer.

The given coordinate points are (3, 6), (-5, 7), (13, 1), and (7, 14).

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

A) (14, 5)

Along with the given points (3, 6), (-5, 7), (13, 1), and (7, 14), the point (14, 5) is included in the function.

It is a function as every input has a unique output.

B) (5, 6)

Along with the given points (3, 6), (-5, 7), (13, 1), and (7, 14), the point (5, 6) is included in the function.

It is a function as every input has a unique output.

C) (7, 2)

Along with the given points (3, 6), (-5, 7), (13, 1), and (7, 14), the point (7, 2) is not included in the function.

Since the element 7 corresponds to two different images i.e., 14 and 2.

D) (8, 0)

Along with the given points (3, 6), (-5, 7), (13, 1), and (7, 14), the point (8, 0) is included in the function.

It is a function as every input has a unique output.

The point cannot be included in the function is (7, 2). Therefore, option C is the correct answer.

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The rectangular form of Theta = StartFraction 3 pi Over 4 EndFraction is x + y = 0.

The polar coordinates system is a two-dimensional coordinate system in which each point is determined by distance from the point and an angle from the reference direction.

This is about converting polar coordinate to rectangular form.

Relationship between coordinates is:

x = r cosθ

y = r sinθ

then;

y/x = sinθ/cosθ

y/x = tanθ

We have θ = 5π/6, finding the value of tan:

tan 5π/6 = tan (π - π/6)

= - 1/√3

= - √3/3

Now Substitute tan with its value:

y/x = -√3/√3

√3y = -√3x

y + x = 0

x + y = 0

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Answer:

c on edge

Step-by-step explanation:

Answer:

Step-by-step explanation:

Hi vengefull,  :0  like that show on Netflix about revenge, huh  :0 anyway, back to math.

the equation 1):

40*A+ 35*B=2000

the equation 2):

50*A + 80*B=3000

Answer:

Step-by-step explanation:

take the radius which is 5 square it 5^2 and divide by 3 then round hope it helps

Answer: 8,33333333333333333

Step-by-step explanation: 5^2 =25 divided by 3 is 8,33333333333333333

The system of equations is x + y = 11 and 2x + 3y = 29 and variables are x and y.

Let us assume the number of two point shots be x and the number of three point shots be y. Forming the equation now -

x + y = 11 : Equation 1

2x + 3y = 29 : Equation 2

Rewriting the equation 1 as per x.

x = 11 - y : Equation 3

Keep the value of x form equation 3 in equation 2

2(11 - y) + 3y = 29

Performing multiplication on Left Hand Side of the equation

22 - 2y + 3y = 29

y = 29 - 22

y = 7

Keep the value of y in equation 3.

x = 11 - 7

x = 4

So, the two point shots are 4 and three points shots are 7. The variables are x and y and system of equations are equation 1 and equation 2.

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Answer:

16

Step-by-step explanation:

8 x 2 = 16  16 - 8 =2

Answer:

16......................

Answer:

the answer should be 6000

Answer: 21

Step-by-step explanation:

70x30/100

= 21

Hope this helps! :)