Estimate -4 2/3 x (2 1/4) + 3 5/6

Answer:

  0, 0.9, 2, √5, 47/14

Step-by-step explanation:

Your calculator can help you round these to 1 decimal place:

  √5 ≈ 2.2

  47/14 ≈ 3.4

Then the order in decimal is ...

  0, 0.9, 2, 2.2, 3.4

In the original form, the order is ...

  0, 0.9, 2, √5, 47/14

_____

Additional comment

When comparing numbers in decimal, the most-significant digits are compared first. The one in the left-most number place is the greatest. If both are in the same number place, then the highest digit is the greatest. if both are the same, then comparison proceeds to consider the digits in the number place to the immediate right.

Here, the most-significant digits of 0, 2, 2.2 and 3.4 are in the units place, so 3 identifies the largest value. Of the remaining, 2.0 and 2.2 have units digits of 2, so we must look at the tenths digit to determine 2.2 > 2.0. Now, we have 3.4 > 2.2 > 2.

The numbers 0.0 and 0.9 both have units digits of 0, so we look at the tenths place to see that 0.9 > 0.0. This puts the numbers in order ...

  3.4 > 2.2 > 2 > 0.9 > 0 . . . . . greatest to least

The order we're interested in is the reverse of this order, least to greatest.

Answer:

5/2

Step-by-step explanation:

35/14 = 5/2

Answer: 35/14

Step-by-step explanation:

Do the reciprocal of 2/7 because your dividing them so that becomes 7/2. Now multiply because division with fractions means you multiply. Its simple Math. When you find the reciprocal of the second fraction just multiply regularly.

The sequence is decreasing as n increases and sequence converges to the value 0.

The given sequence is defined as aₙ = 1 / (7n + 3).

To determine if the sequence converges or diverges, we need to analyze its behavior as n approaches infinity.

As n increases, the denominator 7n + 3 also increases which means that the values of aₙ will get smaller and smaller, approaching zero as n becomes larger.

The sequence converges to the value 0.

The sequence is decreasing as n increases.

The sequence converges to the value 0.

To learn more on Sequence click:

https://brainly.com/question/21961097

#SPJ1

Answer:

because 2 and 3 are all prime factors

Step-by-step explanation:

Answer:

reasonable estimates for the total number of each color cube in the bag are:

B) 30 black cubes (since 750 is too high)

E) 120 yellow cubes (since 280 is too low and 290 is too high)

D) 40 white cubes (since 560 is too low and 570 is too high)

Step-by-step explanation:

We can use the proportion of each color cube in the student's selection to estimate the total number of each color cube in the bag.

Let's calculate the proportion of each color cube in the selection:

Proportion of black cubes: 3/15 = 0.2

Proportion of yellow cubes: 8/15 = 0.5333...

Proportion of white cubes: 4/15 = 0.2666...

Then, we can use these proportions to estimate the total number of each color cube in the bag by dividing the total number of cubes (150) by each proportion:

Estimated total of black cubes: 150/0.2 = 750

Estimated total of yellow cubes: 150/0.5333 = 281.25 (rounding to 280 or 290)

Estimated total of white cubes: 150/0.2666 = 562.5 (rounding to 560 or 570)

a. The probability that a yellow disk will be selected is 1 out of 5.

b. It is **likely** that a yellow disk will be randomly selected from the bag.

a. The probability that a yellow disk will be selected can be calculated by;

P = 5 / 25

P = 1/5

The probability of randomly selecting a yellow disk is calculated by dividing the number of yellow disks by the total number of disks. In this case, there are 5 yellow disks and 25 total disks, so the probability is 5/25 = 1/5. This means that there is a 20% chance of randomly selecting a yellow disk.

b. The likelihood of randomly selecting a yellow disk is described as "likely" because the probability is greater than 1/10. A probability of 1/10 or less is considered "unlikely", while a probability of greater than 1/10 is considered "likely".

Learn more on probability here;

https://brainly.com/question/23286309

#SPJ1

Answer:

I THINK THR ANSWER IS A !

Answer:

1. U should know what the median is the median is the middle.

2. The interquartile range is when u subtract the 1 and 3 meidan.

3. The rang is when u subtract the biggest number from the smalest number.

Step-by-step explanation:

I hope this helped u . If not than please ask me.

The solution of the given problem of equation comes out to be total cost for 942 minutes is $1044.

The similar symbol (=) is used in arithmetic equations to signify equality between two statements. It is shown that it is possible to compare various numerical factors by applying mathematical algorithms, which have served as expressions of reality. For instance, the equal sign divides the number 12 or even the solution y + 6 = 12 into two separate variables many characters are on either side of this symbol can be calculated. Conflicting meanings for symbols are quite prevalent.

Part A:

Given:

To find an equation,

Where x is number of monthly minutes.

and y is total monthly of splint plan.

So, equation is:

\(\rightarrow \text{y} =\text{mx} +\text{b}\)

For the first case:

\(\rightarrow\bold{173 = 380x + b}\)

Second case:

\(\rightarrow\bold{249= 570x + b}\)

Solve for x:

\(\rightarrow{173 - 380\text{x}=249- 570\text{x}\)

\(\rightarrow{-207=-321\)

\(\rightarrow \text{x} =\dfrac{321}{207}\)

\(\rightarrow \text{x} =\dfrac{107}{69}\)

\(\rightarrow \text{x} \thickapprox1.55\)

For value of b

\(\rightarrow 173 = 380(1.55) + \text{b}\)

\(\rightarrow 173 - 589 = \text{b}\)

\(\rightarrow -416 = \text{b}\)

Part B:

\(\rightarrow \text{y} = 942(1.55) - 416\)

\(\rightarrow \text{y} = 1460.1 - 416\)

\(\rightarrow \text{y} \thickapprox1044\)

Therefore, the solution of the given problem of equation comes out to be total cost for 942 minutes is $1044.

To know more about the equation, visit:

https://brainly.com/question/29657983

====================================================

Explanation:

If sin(x) = 3/5, then cos(x) = 4/5 through the use of the trig identity

sin^2(x) + cos^2(x) = 1

This is assuming that x is in quadrant Q1.

Plug those values into the identity below and simplify.

sin(2x) = 2*sin(x)*cos(x)

sin(2x) = 2*(3/5)*(4/5)

sin(2x) = 24/25

Answer:

24/25

Step-by-step explanation:

Trig functions relate the angle of a triangle with the sides of that triangle (right triangle)

sin(x)= 3/5 (opposite/ hypotenuse) (25=9-x^2, using pythag. theorem, remaining side= 4)

now, cos(x)= 4/5

now, the double angle identity states:

sin2x= 2sinxcosx

so,

sin2x= 2 * (3/5) * (4/5) =

24/25

===========================================================

Explanation:

Cosine of an angle is the ratio of the adjacent over the hypotenuse.

For reference angle A, the adjacent leg or closest leg is side AB = 30.

The hypotenuse is always the longest side. The longest side of a right triangle is always opposite the largest angle (the 90 degree angle). So the hypotenuse is AC = 34.

We then say:

cos(angle) = adjacent/hypotenuse

cos(A) = AB/AC

cos(A) = 30/34

cos(A) = (2*15)/(2*17)

cos(A) = 15/17

Answer:

157

Step-by-step explanation:

Answer:

C or D

dont get me wrong here im the wrong bc this is bassicly taking ur points but it c i think but d is still a good opition I think c

Step-by-step explanation:

1. if to rewrite the given equation, then

y= -3(x+5)²+1;

2. the vertex of the parabola is (-5;1) and it is the highest point. Then

3. domain: x is any value, x∈(-∞;+∞);

range: y not greater than 1, y∈(-∞;1].

For the parabola f(x) = -3x² - 30x - 74, the domain is all real numbers (-∞, ∞), and the range is also all real numbers (-∞, ∞).

To determine the domain and range of the given parabola f(x) = -3x² - 30x - 74, we need to understand the behavior of parabolas.

The domain of a function represents all the possible x-values for which the function is defined. In this case, there are no restrictions on the x-values for the given quadratic function. Therefore, the domain is all real numbers, expressed as (-∞, ∞).

The range of a function represents all the possible y-values that the function can produce. For a parabola, if the coefficient of the squared term (in this case, -3) is negative, the parabola opens downward. Since the coefficient is negative, the parabola will have a maximum value. In this example, there is no minimum or maximum specified; thus, the range will also be all real numbers.

To learn more about parabola click on,

https://brainly.com/question/30997281

#SPJ2

The amount that you would have to pay in federal income tax if you claim 3 allowances would be:  $65.46

To calculate the amount you will pay in federal income tax using the percentage method of withholding, you will need to know the withholding percentage for your gross pay and the number of allowances you are claiming.

If you claim 3 allowances, each allowance is $80.80, and you gross pay for the week is $710, your taxable income is:

$710 - 3*$80.8 = $710 - $242.4 = $467.6

To find the amount of federal income tax you will pay, you will need to use the withholding percentage for your taxable income. You can find this information by consulting the IRS Circular E (Employer's Tax Guide) or by using an online withholding calculator.

If we use the IRS Circular E, we can find that if you are single and claim 3 allowances, the withholding percentage for a taxable income of $467.6 is 14%.

So the amount you will pay in federal income tax is:

$467.6 * 14% = $65.46

Therefore, you will pay $65.46 in federal income tax if you claim 3 allowances, and your gross pay for the week is $710.

To learn more about federal income tax refers to;

https://brainly.com/question/30382321

#SPJ1

The average rate of change of the function f(x) = √(x+4) over the interval 2 ≤ x ≤ 6 is approximately 0.29 to the nearest hundredth.

To find the average rate of change of the function f(x) = √(x+4) over the interval 2 ≤ x ≤ 6, we need to calculate the change in the function divided by the change in the input variable over that interval.

The change in the function between x = 2 and x = 6 is:

f(6) - f(2) = √(6+4) - √(2+4) = √10 - √6

The change in the input variable between x = 2 and x = 6 is:

6 - 2 = 4

So, the average rate of change of the function over the interval 2 ≤ x ≤ 6 is:

(√10 - √6) / 4

To approximate the answer to the nearest hundredth, we can use a calculator or perform long division to get:

(√10 - √6) / 4 ≈ 0.29

For such more questions on function

https://brainly.com/question/11624077

#SPJ8

Mr. Marshal spent 1/4 of his salary on miscellaneous expenses and $1,680 on rental; therefore, he spent 1/36 of his entire salary on the trip.

To find the fraction of money spent on miscellaneous, we need to calculate the sum of the fractions spent on rental, food, and bank and subtract it from 1.

Rental: 1/5

Food: 1/10

Bank: 1/4

To find the fraction spent on miscellaneous:

Fraction spent on miscellaneous = 1 - (Rental + Food + Bank)

Rental + Food + Bank = 1/5 + 1/10 + 1/4 = (8 + 4 + 5)/40 = 17/40

Fraction spent on miscellaneous = 1 - 17/40 = 23/40

So, Mr. Marshal spent 23/40 of his salary on miscellaneous.

To find the amount spent on rental, we multiply the fraction spent on rental by his salary:

Amount spent on rental = (1/5) \(\times\) $8,400 = $1,680

Therefore, Mr. Marshal spent $1,680 on rental.

If Mr. Marshal spent 4/9 of the miscellaneous amount on a trip, we need to calculate the fraction of his entire salary spent on the trip.

Fraction spent on the trip = (4/9) \(\times\) (23/40) = 92/360 = 23/90

For similar question on fraction.

https://brainly.com/question/30154928  

#SPJ8

Answer:

The answer is 19,000

Step-by-step explanation:

18,792 you round to the thousand which is 8 and the number after is 7 which is above 5 so the 8 turns into a 9

Answer:

19000

Step-by-step explanation:

18,792

Rounding to the nearest thousand

The 8 is in the thousands place

We look at the number in the hundreds place, 7

It is 5 or higher so we will round the 8 up to 9 and everything else to the right will become zeros

18,792 becomes 19000

If we evaluate x = 10 on all the functions, we have:

and then, evaluating x = 11, we get:

notice that on x = 10, h(x) does not exceed g(x), but on x = 11, h(x) exceeds the other functions. Therefore, h will begin exceed f and g around 11

Answer: 10x + 14y

Step-by-step explanation: just simplify it

Answer:

10x+14y

Step-by-step explanation:

The number of vertices when a hexagonal pyramid is located on top of a hexagonal prism is 13

The diagram takes that the base of the hexagonal pyramid is same as the hexagonal prism. This means that it has the same dimensions as the face of the hexagonal prism.

So, the total number of vertices will be the sum of all these vertices and is

= 6 + 6 + 1

= 13

Hence, the number of vertices when a hexagonal pyramid is located on top of a hexagonal prism is 13

Learn more about vertices here:

https://brainly.com/question/3050890

#SPJ1

Answer:

$832.04

Step-by-step explanation:

773.99/100

x

1.075

=

832.03925

round to the nearest cent and you get

$832.04

Answer:

false and can you please help me on my last question i posted its bout john henry

Step-by-step explanation:

Answer:

all of them can be a length

Answer:

472.2 km

Step-by-step explanation:

Answer:

$ 2250

Step-by-step explanation:

3375 = s³

s = ∛3375

s = 15 ft.

floor area = s² = (15 * 15)

floor area = 225 ft²

the contractor charges $10 per ft².

therefore,  

the hardwood cost = 225  x  $10 = $2250

Answer:

$2,250.

Step-by-step explanation:

So first, we need to find the area of the floor (the side shaded green). To do so, we first need to find the length of the one side of the room.

Since we know that the room is a cube, all side lengths are equivalent. And since we are given that the volume of the room is 3375, we can find the length of the side.

The volume of a cube is given by the formula:

\(V=s^3\)

Substitute 3375 for V:

\(s^3=3375\)

Take the cube root of both sides:

\(s=\sqrt[3]{3375}=15\)

So, the side length of the room is 15.

This means that the area of the floor is:

\(A=(15)^2\\A=225\text{ in}^2\)

They charge $10 per square foot. There are 225 square feet. Thus, the total cost will be:

\(10(225)=$2250\)

$2,250.

The equation that represents the cost, c, of n sets is c = 63.74n

from the question, we have the following parameters that can be used in our computation:

Each volleyball set costs $63.74.

Let the total number of sets be n

So we have

Cost of n = 63.74 * n

This gives

c = 63.74n

Hence, the equation is c = 63.74n

Read more about equation at

https://brainly.com/question/32492977

#SPJ1

Answer:

1711

Step-by-step explanation:

\(4\cdot(14+8)^2-9\cdot(9-4)^2\\=4\cdot(22)^2-9\cdot(5)^2\\=4(484)-9(25)\\=1936-225\\=1711\)

Make sure to follow order of operations!

Answer:

B. Investors will have to pay tax on the interest income received from the bonds.

Explanation:

Interest earned from corporate bonds and capital gained through corporate bond transactions is taxable income.  The interest earned from a corporate bond is subject to taxation by both the federal and state governments.

The government will not sell sin Qua corporation bonds as it is a public company.  Bonds do not pay interest quarterly but rather semi-annually or annually.  Again, the maturity of the bond is determined at the time they are issued. Creditworthiness will only affect the bond price but not its maturity period.

Investors will have to pay tax on the interest income received from the bonds is thus the correct statement.

Answer:

A = $446,068.00

Step-by-step explanation:

A = $446,068.00

I = A - P = $88,068.00

Equation:

A = P(1 + rt)

Calculation:

First, converting R percent to r a decimal

r = R/100 = 8.2%/100 = 0.082 per year.

Solving our equation:

A = 358000(1 + (0.082 × 3)) = 446068

A = $446,068.00

The total amount accrued, principal plus interest, from simple interest on a principal of $358,000.00 at a rate of 8.2% per year for 3 years is $446,068.00.