What is 8,427 divided by 6??????

Answer:

3:100, 3/100

Step-by-step explanation:

Answer:

3:100

Step-by-step explanation:

well 3 can go into both equally so it be 3: 100 and that cant be reduce anymore

Answer:

These are the true statements:

1) There are more than 18 different combinations of features for sale.

2)The number of combinations of red notebooks is the same as the number      of combinations that are yellow.

3)Adding one more color option would increase the number of different combinations by 4.

Step-by-step explanation:

Here, we need combination of three different things color, binding and divider.

Firstly, from color we have 5 options, so there are 5 different ways of choosing color.

Next, 2 options for binding, so 2 ways to choose the binding.

Thirdly, 2 more ways to choose divider.

So, total number of ways = 5×2×2 = 20 ways.

This is because when we fix one of the things, say color to be red, then there are 2 ways for binding and 2 ways for divider. so, we get a total of 4 different combinations.

Now, as we are having 5 different colors, total ways = 5×4 = 20.

Here, it is obvious that combinations of notebooks of any color are same(4 red, 4 blue, 4 green, 4 yellow, 4 black)

Suppose, we have one more color option then total ways = 6 ×4 =24 ways.

⇒Adding one more color option would increase the number of different combinations by 4.

Answer:

B,C,E

Step-by-step explanation:

I got it right on the test

hope this helps

f(x) = 7 is a even function

Solution:

Given that we have to find the even function

A function is even if and only if f(–x) = f(x)

Steps to follow:

Replace x with -x and compare the result to f(x). If f(-x) = f(x), the function is even.

If f(-x) = - f(x), the function is odd.

If f(-x) ≠ f(x) and f(-x) ≠ -f(x), the function is neither even nor odd.

[tex]f(x) = (x - 1)^2[/tex]

Substitute x = -x in above function

[tex]f(-x) = (-x - 1)^2[/tex]

Thus [tex]f(-x) \neq f(x)[/tex]

So this is not a even function

f(x) = 8x

Substitute x = -x in above function

f(-x) = 8(-x) = -8x

Thus [tex]f(-x) \neq f(x)[/tex]

So this is not a even function

[tex]f(x) = x^2 - x[/tex]

Substitute x = -x in above function

[tex]f(-x) = (-x)^2 - (-x) = x^2 + x[/tex]

Thus [tex]f(-x) \neq f(x)[/tex]

So this is not a even function

f(x) = 7

f(-x) = 7

Thus f(-x) = f(x)

Thus it is a even function

Answer:

A

Step-by-step explanation:

edg verified

Answer:

B) f(x) ≥ 3x + 4

g of x is less than or equal to negative one half times x minus 5

Step-by-step explanation:

hope it helps

Answer:

The Answer is B.

f(x) ≥ 3x + 4

g(x) ≤ -1/2x - 5

Hope This Helps!

Answer:

234 cm²

Step-by-step explanation:

Given expression to represent the surface area of the rectangular prism is [tex]6x^{3} +4x^{2} +12x[/tex]

The given value of x is 3.

Now, finding value of expression by sustituting value of "x" as given.

Surface area of the rectangular prism = [tex]6x^{3} +4x^{2} +12x[/tex]

Surface area of the rectangular prism= [tex]6\times 3^{3} +4\times 3^{2} +12\times 3[/tex]

∴ Surface area of the rectangular prism= [tex]6\times 27+ 4\times 9+ 12\times 3[/tex]

Surface area of the rectangular prism= [tex]162+36+36= 234\ cm^{2}[/tex]

∴ Surface area of the rectangular prism= 234 cm²

Answer:

3 feet in 5s

Step-by-step explanation:

Consider the complete question is,

'If the relationship between distance y in feet and time x in seconds is proportional, which rate is represented by y/x=0.6?

a. 3 feet in 5s

b. 3 feet in 9s

c. 10 feet in 6s

d. 18 feet in 3s'

If y = 3 ft, x = 5 sec

[tex]\frac{y}{x}=\frac{3}{5}=0.6[/tex]

If y = 3 ft, x = 9 sec

[tex]\frac{y}{x}=\frac{3}{9}=0.33...[/tex]

If y = 10 ft, x = 6 sec

[tex]\frac{y}{x}=\frac{10}{6}=1.66666...[/tex]

If y = 18 ft, x = 3 sec

[tex]\frac{y}{x}=\frac{18}{3}=6[/tex]

Hence, the required rate would be 3 feet in 5s

Answer:

A

Step-by-step explanation:

The rule is 2x.

So 3,6,12,24,48,96,192,384,768,1536,3072,6144,12288,....

The question asked for the 12th term so 6144.

Answer:

The answer to this is:

A. 6144

Step-by-step explanation:

3,6,12,24,48,96,192,384,768,1536,3072,6144 all you have to do is multiply the last number by 2.

Answer:

The answer is 3

Step-by-step explanation:

36÷12=3, which is the lowest number on either side of the boxes

Lesledi can put a maximum of 60 packages in the box without it overflowing.

The unitary approach is a strategy for problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value.

The maximum number of 12cm wide packages that can fit in the 36cm width of the box is

= 36 ÷ 12

= 3

and, The maximum number of 6cm high packages that can fit in the 24cm height of the box is

= 24 ÷ 6

= 4

and, The maximum number of 4cm deep packages that can fit in the 20cm depth of the box is

= 20 ÷ 4

= 5

Therefore, the maximum number of packages that can fit in the box is:

= 3 x 4 x 5

= 60

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Answer:

a. (7,9) this both includes in both sets hence the right answer is a.

Answer:

About  1.5873 ounces of sodium chloride is needed.

Step-by-step explanation:

Here, the amount of sodium chloride needed = 45 grams

Now, by the conversion of units, we  know

1 gram = 0.0352739619 ounce

⇒ 45 grams = 45 x 0.0352739619 ounce = 1.5873 ounces

Hence, about  1.5873 ounces of sodium chloride is needed.

Answer:

3/5

Step-by-step explanation:

Dunno?

Answer:

  -23

Step-by-step explanation:

As I increases by 18, y decreases by 12. From the last value in the table, I needs to increase by 2·18 for it to become zero. Hence the y-intercept will be 2·12 less than the last value in the table:

  1 - 2·12 = -23 . . . the y-intercept

Answer:

-23

I hope this helped you and i hope you have a good day.

Answer:

Emma has 14 pennies and 7 quarters

When, Emma has $3.15 worth of dimes and quarters and she has twice as many dimes as quarters. Then, Emma has 14 dimes and 7 quarters.

To solve this, we set up two equations based on the given information. Let the number of quarters be q and the number of dimes be d.

From the information given:

The value equation can be written as 0.10d + 0.25q = 3.15 (since dimes are worth $0.10 and quarters $0.25).

Substituting the first equation into the second gives: 0.10(2q) + 0.25q = 3.15, which simplifies to 0.45q = 3.15.

Dividing both sides by 0.45 gives us q = 7. Since the number of dimes is twice the number of quarters, d = 2 x 7 = 14.

Therefore, Emma has 14 dimes and 7 quarters.

Answer: Slope = [tex]\frac{9}{5}[/tex]

Step-by-step explanation:

Slope = [tex]\frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]

[tex]x_{1}[/tex] = 2

[tex]x_{2}[/tex] = 7

[tex]y_{1}[/tex] = 1

[tex]y_{2}[/tex] = 10

Substituting into the formula , we have :

Slope = [tex]\frac{10 - 1}{7 - 2}[/tex]

Slope = [tex]\frac{9}{5}[/tex]

Answer:

(1) 5 , PI + 2, 17/3

(2) 3/2, sqrt (5), 2.5

(3) Sqrt(5)/2, PI – 2, 5/4

Step-by-step explanation:

For each number, begin by comparing the whole numbers. The one with the least whole number is the smallest while the one with the largest is the biggest number.

If the numbers being compared have the same whole numbers, check the decimal places. Begin with tenths. The one with the lowest number is the smallest number. If they are the same compare the hundredths, if they are the same compare thousandths...until you find a decimal that is different and can differentiate the numbers.

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Answer:

[tex]A=100(0.990655512)^t[/tex]

Step-by-step explanation:

[tex]A=100(\frac{1}{2})^{\frac{t}{73.83}}[/tex]

It does say an approximate equation so we could play with law of exponents a little especially if you don't like that fraction in the exponent.

[tex]A=100(\frac{1}{2})^{\frac{1 \cdot t}{73.83}}[/tex]

[tex]A=100(\frac{1}{2})^{\frac{1}{73.83}t}[/tex]

[tex]A=100((\frac{1}{2})^{\frac{1}{73.83}})^t[/tex]

I'm going to put (1/2)^(1/73.83) into my calculator.

This gives me approximately: 0.990655512.

[tex]A=100(0.990655512)^t[/tex]

So maybe that is what you are looking for.

Please let me know.

A gram of the isotope of iridium is present. Then after t day, the equation is [tex]\rm A = 100*(0.990655)^t[/tex].

Half-Life is defined as the time required by a radioactive substance to disintegrate into a different substance. This was discovered in 1907 by Ernest Rutherford.

Given

Iridium-192 is an isotope of iridium and has a half-life of 73.83 days.

[tex]\rm A= 100(0.5)^\frac{t}{73.83}[/tex]

If A gram of the isotope of iridium is present. Then after t day, the amount will be

[tex]\rm A= 100(0.5)^{\frac{t}{73.83}}\\[/tex]

On simplifying, we have

[tex]\rm A = 100((0.5)^{\frac{1}{73.83}})^{t} \\\\A = 100*(0.990655)^t[/tex]

Thus, the required equation is [tex]\rm A = 100*(0.990655)^t[/tex].

More about the half-life link is given below.

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Answer:

Step-by-step explanation:

In downstream, the speed of the boat will be (9 + r) miles per hour and in upstream the speed of the boat will be (9 - r) miles per hour.

Ratio of the speed in downstream to the speed in upstream is (9 + r):(9 - r).

Hence, the ratio of the time taken by the boat to cover the distance in downstream to upstream is  (9 - r):(9 + r).

[tex]\frac{9 - r}{9 + r} = \frac{2}{4} \\18 - 2r = 9 + r\\3r = 9\\r = 3[/tex]

Answer:

[tex]n=\frac{0.4(1-0.4)}{(\frac{0.05}{1.96})^2}=368.79[/tex]  

n=369

Step-by-step explanation:

1) Notation and definitions

[tex]X=40[/tex] number of the selected labourers opt for a new incentive scheme.

[tex]n=100[/tex] random sample taken

[tex]\hat p=\frac{40}{100}=0.4[/tex] estimated proportion of the selected labourers opt for a new incentive scheme.

[tex]p[/tex] true population proportion of the selected labourers opt for a new incentive scheme.

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

The population proportion have the following distribution

[tex]p \sim N(p,\sqrt{\frac{p(1-p)}{n}})[/tex]

2) Solution tot he problem

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by [tex]\alpha=1-0.95=0.05[/tex] and [tex]\alpha/2 =0.025[/tex]. And the critical value would be given by:

[tex]z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96[/tex]

The margin of error for the proportion interval is given by this formula:  

[tex] ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}[/tex]    (a)  

And on this case we have that [tex]ME =\pm 0.05[/tex] and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

[tex]n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}[/tex]   (b)  

And replacing into equation (b) the values from part a we got:

[tex]n=\frac{0.4(1-0.4)}{(\frac{0.05}{1.96})^2}=368.79[/tex]  

And rounded up we have that n=369

The size of the sample that must be selected to have a precision of ± 5% with 95% confidence is 369

For large enough sample, let the population proportion of a quantity be denoted by random variable [tex]p[/tex]

Then, we get:

[tex]p \sim N(\hat{p}, \sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}})[/tex]

where

It is visible that as we increase the value of n, the standard deviation decreases, therefore, forcing the values of population proportion to be closer to the estimated proportion.

Margin of error is the distance between the mean and one of the end point of the confidence interval(assuming its equal on  both the sides of the mean). The margin of error with level of significance [tex]\alpha[/tex] is calculated as:

[tex]MOE = Z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}[/tex]

where

[tex]Z_{\alpha/2}[/tex]

is the critical value of the test statistic for level of significance [tex]\alpha[/tex]

For the considered case, we have following facts:

Thus, if we denote p = proportion of labors opting for a new incentive scheme in the considered population, then,

[tex]\hat{p} = 40/100 = 0.4[/tex] (estimate from the sample about the proportion of such labors who opt for new incentive scheme to the total count of labors of the sample).

For 95% confidence interval, level of significance is 100% - 95% = 5% = 0.05

At this level of significance, the critical value of Z is ±1.96

Let the needed sample size be 'n', then:

[tex]MOE = Z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}\\\\0.05= \pm 1.96 \sqrt{\dfrac{0.4(1-04)}{n}}\\\\n = \dfrac{0.4 \times 0.6}{(0.05/1.96)^2} \approx 369[/tex]

Thus, the size of the sample that must be selected to have a precision of ± 5% with 95% confidence is 369

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Answer:

(-6,5)

Step-by-step explanation:

we have

y=f(x) ----> the parent function

y=1/2f(x) ---> the new y-value will be 1/2 times the original value

The rule of the transformation of f(x) to 1/2f(x) is

(x,y) -----> (x,y/2)

substitute the given value

(-6,10) ------> (-6,10/2)

(-6,10) ------> (-6,5)

Answer:

m=-8

Step-by-step explanation:

Answer:

Step-by-step explanation:

slope  = y₂ - y₁ / x₂ - x₁

= 1 - 9 / 7-6

= - 8/1

= -8

Question is incomplete, complete question is given below;

For i = √−1 , what is the sum (7 + 3i) + (−8 + 9i ) ? √ is the square root symbol.

Answer:

A) −1 + 12i

Step-by-step explanation:

Given,

[tex]i = \sqrt{-1 }[/tex]

We have to find the sum of[tex](7+3i)+(-8+9i)[/tex].

Solution,

Firstly we Substitute the the value of 'i' in given expression.

[tex](7 + 3\sqrt{-1}) + (-8 + 9\sqrt{-1} )[/tex]

On combining the like terms, we get;

[tex]7+(-8)+3\sqrt{-1}+9\sqrt{-1}[/tex]

On we use the addition property of equality and get;

[tex]-1+12\sqrt{-1}[/tex]

Since [tex]\sqrt{-1}[/tex] = i

Then we can say that;

[tex]-1+12\sqrt{-1}[/tex] = [tex]-1+12i[/tex]

Hence The sum of [tex](7+3i)+(-8+9i)[/tex] is  [tex]-1+12i[/tex].

(3x^5y)^2=

3^2=9

(x^5)^2=x^10

y^2=y^2

(3x^5y)^2=9x^10y^2

9x^10y^2(4x^3y^5)=

9*4=36

x^10*x^3=x^13

y^2*y^5=y^7

9x^19y^2(4x^3y^5)= 36x^13y^7

Final answer: 36x^13y^7

Answer:

BBBBB!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Step-by-step explanation:

Answer:

$11.8525

Step-by-step explanation:

To find the total price of purchase including sales tax, we need to add sales tax to our total. This can be done as follows: Purchase price + percentage of purchase price as according to sales tax. In the case of your problem, this takes the form of $11 + 0.0775(11). This expression is equivalent to 11.8525.

Answer:

$11.8525 rounds to 11.85. 11.85 is your answer.

Step-by-step explanation:

his converter requires the use of Javascript enabled and capable browsers. This script calculates the sales tax percentage of a given purchase amount and a given sales tax amount. It then displays the sales tax percentage and the total sales price, including tax. You (obviously) may change the default values if you desire. Enter the total amount that you wish to have calculated as the sales amount, in dollars and cents. In our example, that is $50.00 as the sales price. Then, enter in dollars and cents, the sales tax amount. In our example, that is $2.00 for the tax amount. For instance, if a shopping cart does a sales tax calculation for you based on your city, state and zip code, enter the tax amount that it displays. That entry might be something like $2.50 or something similar with dollars and cents. Then click on Calculate and the result should be YOUR local sales tax percentage and the total of the sales price and the sales tax amount. An example of the sales tax percentage might be something like this... If your sales tax has been designated as as 7.75% (7.75 percent), it can be written as .0775; we would show it as 7.75 in the Sales Tax Percentage field. If you need to calculate the sales tax amount and you know the sales amount and the sales tax rate or percentage, use our Sales Tax Calculator And De-Calculator. You can use the same page to calculate the appropriate sales tax in a transaction that includes tax.

Answer:

b

Step-by-step explanation:

Answer:

B.) 7.6 – (–1.7) = 9.3

Step-by-step explanation:

Answer:

The speed of the jet is 410 mph.

Step-by-step explanation:

The jet and the passenger plane flew in opposite directions.  

Given that the passenger plane flew at a speed of 450 mph, then after 11 hours, the passenger plane will fly (450 × 11) = 4950 miles.

Again, given that after 11 hours the passenger plane and the jet are 9460 miles apart.

Therefore, in 11 hours the jet flew (9460 - 4950) = 4510 miles.

Hence, the speed of the jet is [tex]\frac{4510}{11} = 410[/tex] mph. (Answer)

Final answer:

The jet flew at a speed of 410 mph. This was calculated by first determining the distance covered by the passenger plane (at 450 mph for 11 hours) and then subtracting this from the total separation distance of 9460 miles to find the distance covered by the jet.

Explanation:

To determine how fast the jet flew, we need to consider the total distance covered by both planes after 11 hours when they are 9460 miles apart. Given that the passenger plane flew at a speed of 450 mph, we can calculate the distance it covered and then subtract this from the total separation distance to find how much distance the jet covered. Since they traveled in opposite directions, their speeds add up to account for the total separation distance.

First, calculate the distance covered by the passenger plane:

Distance = Speed × Time

Distance for passenger plane = 450 mph × 11 hours = 4950 miles

Now, subtract the passenger plane's distance from the total distance to find the distance covered by the jet:

Distance for jet = Total distance - Distance for passenger plane

Distance for jet = 9460 miles - 4950 miles = 4510 miles

Finally, calculate the speed of the jet:

Speed of jet = Distance for jet / Time

Speed of jet = 4510 miles / 11 hours = 410 mph

Answer:

The only point (0,0) lies inside the shaded region and hence it gives a solution for the set of inequalities.

Step-by-step explanation:

See the graph attached to this question.

The solution of the set of inequalities is given by the shaded region on the graph.

Now, the point (0,5) is outside this shaded region, hence it can not be the solution.

The point (3,0) also is outside this shaded region, hence it can not be the solution.

The point (-3,0) also is outside this shaded region, hence it can not be the solution.

Now, the only point (0,0) lies inside the shaded region and hence it gives a solution for the set of inequalities. (Answer)

Answer:

d) 0.08, 8/100

Step-by-step explanation:

Here is the correct question: Financial maths ;

8% can be written as the following decimal and fraction

a.) 0.8, 80/100

b.) 0.8, 8/10

c.) 0.008 , 8/100

d.) 0.08, 8/100

Percentage (%) is a representation for fraction of hundred.

∴ if it is given 8%, it means 8 upon 100

= [tex]\frac{8}{100} = 0.08[/tex]

∴ Answer is 0.08 in decimal and [tex]\frac{8}{100}[/tex] in fraction.

Step-by-step explanation:

HJ ≅ JH, by symmetric property of equality.

ΔGHJ ≅ ΔIJH, by SAS congruence.

GJ ≅ IH, corresponding parts of congruent triangles are congruent.

The solutions of the equation are -12 and 16

Step-by-step explanation:

Absolute value describes the distance of a number on the number line from 0 without considering which direction from zero the number lies. The absolute value of a number is never negative, if IxI = a, where a > 0, then

∵ 2Ix - 2I - 8 = 20

- At first add 8 to both sides

∴ 2Ix - 2I = 28

- Then divide both sides by 2

∴ Ix - 2I = 14

Now By using the notes above equate x - 2 by 14 and -14

∵ x - 2 = 14

- Add 2 to both sides

∴ x = 16

∵ x - 2 = -14

- Add 2 to both sides

∴ x = -12

The solutions of the equation are -12 and 16

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Point (-2 , 4) lies in the 2nd quadrant

Point (3 , -1) lies in the 4th quadrant

Point (-1 , 0) lies on the negative part of the x-axis

Point (1 , 2) lies in the 1st quadrant

Point (-3 , -5) lies in the 3rd quadrant

Step-by-step explanation:

Let us revise the signs of the coordinates in each quadrant

Now let us check the points

Point (-2 , 4) ⇒ red point

∵ x = -2 and y = 4

∵ x-coordinate is negative and y-coordinate is positive

∴ Point (-2 , 4) lies in the 2nd quadrant

Point (3 , -1) ⇒ blue point

∵ x = 3 and y = -1

∵ x-coordinate is positive and y-coordinate is negative

∴ Point (3 , -1) lies in the 4th quadrant

Point (-1 , 0) ⇒ green point

∵ x = -1 and y = 0

∵ x-coordinate is negative and y-coordinate is zero

∴ Point (-1 , 0) lies on the negative part of the x-axis

Point (1 , 2) ⇒ purple point

∵ x = 1 and y =2

∵ x and y coordinates are positive

∴ Point (1 , 2) lies in the 1st quadrant

Point (-3 , -5) ⇒ black point

∵ x = -3 and y = -5

∵ x and y coordinates are negative

∴ Point (-3 , -5) lies in the 3rd quadrant

Look to the attached graph for more understand

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