How do you write the mixed number 3 2/4 shown as a fraction greater than one

C.) y = 4c is the answer

Answer:

x = 2√7, y = √21

Step-by-step explanation:

The textbook has right angles, so we can use Pythagorean theorem to find the missing lengths.

For the triangle on top of the textbook:

c² = a² + b²

8² = 6² + x²

64 = 36 + x²

28 = x²

x = √28

x = 2√7

For the triangle on the side of the textbook:

c² = a² + b²

7² = x² + y²

49 = 28 + y²

21 = y²

y = √21

First, rearrange the equations:

[tex]x + y = 0[/tex]

[tex] - x + y = - 1[/tex]

Then, do equation 1 minus equation 2 to cancel y:

[tex]x - - x = 2x[/tex]

[tex]0 - - 1 = 1[/tex]

[tex]2x = 1[/tex]

[tex]x = \frac{1}{2} [/tex]

Substitute x to find y:

[tex]y = - x = - \frac{1}{2} [/tex]

So the point of intersection is (1/2, -1/2), which is represented by graph 1.

Answer:

Given system of equations,

y = - x   ------(1)

y = x - 1 ------(2),

From equation (1) and (2),

-x = x - 1

-x - x = -1

-2x = -1

[tex]\implies x = \frac{1}{2}[/tex]

Again from equation (1),

[tex]y = -\frac{1}{2}[/tex]

Thus, the intersection point of the lines (1) and (2), is [tex](\frac{1}{2}, -\frac{1}{2})[/tex]

Hence, the below graph represents the solution to the system of equations.

Answer:

See below

Step-by-step explanation:

1. Standard notation

4.2 × 10⁻⁴ m

A negative exponent indicates

4.2 × 10⁻⁴ tells you that the decimal number is 4.2, with the decimal point moved four places to the left.

The number becomes 0.000 42 .

2. Metres to millimetres

[tex]4.2 \times 10^{-4}\text{ m} \times \dfrac{10^{3}\text{ mm}}{\text{1 m}} = 4.2\times 10^{-1}\text{ mm = 0.42 mm}}[/tex]

3. Measurements agree?

Yes, because both measurements are the same as 0.42 m.

4. More appropriate measurement

Most measurements should be expressed as a number between 0.1 and 1000, because most people aren’t particularly good at visualizing larger or smaller numbers.

Justin's measurement of 0.42 mm is more appropriate than Amanda's measurement of 4.2 × 10⁻⁴ m.

Answer: Your slope would be 0

Step-by-step explanation: Why? Because the X coordinate does not change only the Y coordinate if the X or Y coordinate does not change but the other does your slope is always 0.

Answer:

there is no slope

Step-by-step explanation:

There is no slope because the line would be vertical and a vertical line can not have  a slope

Answer:

56

Step-by-step explanation:

Let's say that D is the point where AB is split, so AD = x-6 and DB = x.

And let's say that E is the point where AC is split, so AE = x+6 and EC = x+20.

Triangle ADE is similar to triangle ABC.  Therefore:

(x-6) / (x-6 + x) = (x+6) / (x+6 + x+20)

Solving:

(x-6) / (2x-6) = (x+6) / (2x+26)

(x-6) (2x+26) = (x+6) (2x-6)

2x² + 26x - 12x - 156 = 2x² - 6x + 12x - 36

2x² + 14x - 156 = 2x² + 6x - 36

14x - 156 = 6x - 36

8x = 120

x = 15

So the length of AC is:

AC = x+6 + x+20

AC = 2x + 26

AC = 2(15) + 26

AC = 56

Hello There! 6.25% of 14.99 is about $0.94, or 0.936875 to be exact.

To find a percentage of a number, switch the percentage into a decimal and multiply the original number by this decimal.

To convert percentages to decimals, divide them by 100.

6.25 ÷ 100 = 0.0625

Now, multiply 14.99 by 0.0625.

14.99 x 0.0625 = 0.936875.

This can be rounded to the nearest cent, or the hundredths place, and since the thousandths place is above five, round up to six. You now have a total of about $0.94.

I hope this helps & have a great day!

your answer is 0.936875

Answer:

0.978

Step-by-step explanation:

You move the decimal from the eight three times to the left because it is cm3

Answer:

it is 0.978

Step-by-step explanation:

What do you want us to help with? Is there a picture?

When using the formula for the volume of a pyramid, substituting the given values of base area and volume results in a candy box height calculation of 20 inches.

The question asks about the height of a box of candy shaped like a triangular pyramid, given the volume and the area of the base. The volume of a pyramid is given by the formula V = 1/3 * Base Area * height. In this case, the box volume equals 120 in³, and the base area equals 18 in². We can use these values to solve for the height.

By rearrangement of the formula, height = V / (1/3 * Base Area). If we plug in the values, height = 120 in³ / (1/3 * 18 in²) = 20in. Therefore, the height of the candy box is 20 inches.

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The height of the candy box is 20 inches.

To find the height of the candy box, we need to use the formula for the volume of a triangular pyramid, which is V = (1/3) * A * h, where V is the volume, A is the area of the base, and h is the height.

We are given that the volume is 120 in³ and the area of the base is 18 in², so we can plug these values into the formula and solve for h.

120 = (1/3) * 18 * h

Simplifying the equation, we get:

360 = 18h

Dividing both sides by 18, we find that h = 20.

Therefore, the height of the candy box is 20 inches.

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____________________________________________________

Answer:

Your answer would be $410.64

____________________________________________________

Step-by-step explanation:

In order to find the amount of money you would have in 3 years, you would have to multiply the principal each time by 15% 3 times.

We would start with our starting allowance, and multiply that by 1.15, and so on:

270 × 1.15 = 310.50

310 × 1.15 = 357.075

357.073 × 1.15 = 410.636

Since we have three numbers after the decimal, we would want to round up to the nearest hundredth because that's how the value of money works. Cents only go up to the hundredths place.

We would round the 6 to the three, in which would make the three turn into 4. When you round, the numbers 1-4 would keep the number before it the same, 5-9 would make the number before it go up by 1.

410.636 would turn into 410.64.

You would have $410.64 dollars in three years.

____________________________________________________

With a principal of $270 and an annual compound interest rate of 15%, your investment will grow to approximately $410.64 in 3 years.

To determine how much your investment of $270 will grow in 3 years with an annual compound interest rate of 15%, you can use the compound interest formula:

A = P(1 + r/n)ⁿᵗ

Where:

Now plug in the values:

Simplify inside the parenthesis:

Then:

Calculate the exponent:

Finally, multiply:

After 3 years, your investment will grow to approximately $410.64.

This demonstrates the power of compound interest, which is an important concept to understand when investing.

I'll help you!

The y intercept is simple where the line touches the Y-Axis (the one going up and down  ↑↓)

In this case the y intercept is (+3)

Answer:

3) 8pigs and 2 ducks 4(legs)*8(pigs)=32(feet) and 2(legs)*2(ducks)=4(feet) 32(pigs feet)+4(ducks feet)=36(total) 2(ducks) + 8 (pigs)= 10 (total animals)

4) 4 could be a varaity of things one way is 195/5 and you get 0 busses and 39 cars. Or the more effective way is 45*4=180 and 5*3=15 and that is 4 busses and 3 cars

Step-by-step explanation:

-1 unit is the correct answer.

By calculating the distances between the horizontal and vertical points of the rectangle, we find that the width is 1 unit shorter than the length.

To determine how much shorter the width is than the length of the rectangle formed by the points (-1, 6), (3, 6), (3, 1), and (-1, 1), we can calculate the distances between the points.

The length can be measured either between the first and second point or the third and fourth, as they have the same y-value but different x-value, which is a horizontal distance on the graph.

The width can be measured between the first and fourth point or the second and third point since they share the same x-value but differ in y-values, constituting a vertical measurement.

Length is distance between (-1, 6) and (3, 6) or (3, 1) and (-1, 1) which is |3 - (-1)| = 4 units. Width is the distance between (-1, 6) and (-1, 1) or (3, 6) and (3, 1) which is |6 - 1| = 5 units.

The width is longer than the length, so to find out how much shorter the width is compared to the length, we subtract the two: 4 - 5 = -1 unit.

Answer:

Yes,y=2x

Step-by-step explanation:

Answer: option a: Yes, y=2x

Step-by-step explanation:

i did it in edu

Answer:

30.5

0<h<10 =5

10<h<20 =15

20<h<30 =25

30<h<40 =35

40<h<50 =45

50<h<60 =55

multiply by frequency

5*1=5

15*4=60

25*7=175

35*2=70

45*3=135

55*3=165

add

=610

610 divided by 20 =30.5

The question is best categorized under Computers and Technology for a high school-level student, focusing on SEO and HTML formatting skills, which are crucial in the field of digital communication.

The subject matter of your question is not explicitly provided, but given the nature of the task—to define the subject and grade level, to include specific SEO keywords, and to format the answer using HTML—it seems best categorized under Computers and Technology. This categorization is because of the attention to digital content optimization and basic web formatting skills.

If we were to identify the academic grade level of the student asking this question, it seems most appropriate for High School as the task requires a degree of specificity and understanding of topics that typically align with high school-level projects or assignments. The task also could be relevant for college students, especially those studying digital marketing or web development, but based on the information given, we will consider it High School level.

In constructing a detailed response to such a question, it is important to always provide more than 100 words and to ensure that all information provided is accurate, informative, and includes relevant details and examples. When approaching tasks like these, the exercise in SEO and HTML formatting provides practical skills that can be applied in many areas of digital communication and content creation.

Answer: is C.

Step-by-step explanation: i took the test and i got 3 as the answer :P

Answer:

Part A) [tex]167\ cups[/tex]

Part B) [tex]10\ cups[/tex]

Step-by-step explanation:

Part A)

we know that

The volume of the sink is

[tex]V=\frac{2,000}{3}\pi\ in^{3}[/tex]

step 1

Find the volume of the cylindrical cup

The volume is equal to

[tex]V=\pi r^{2} h[/tex]

we have

[tex]r=2/2=1\ in[/tex] ----> the radius is half the diameter

[tex]h=4\ in[/tex]

substitute the values

[tex]V=\pi (1)^{2} (4)[/tex]

[tex]V=4\pi\ in^{3}[/tex]

step 2

To find the number of cups of water, divide the total volume of the sink by the volume of the cylindrical cup

[tex](\frac{2,000}{3}\pi)/(4\pi)=\frac{2,000}{12}=166.67\ cups[/tex]

Round to the nearest whole number

[tex]167\ cups[/tex]

Part B)

we know that

The volume of the sink is

[tex]V=\frac{2,000}{3}\pi\ in^{3}[/tex]

step 1

Find the volume of the cylindrical cup

The volume is equal to

[tex]V=\pi r^{2} h[/tex]

we have

[tex]r=6/2=3\ in[/tex] ----> the radius is half the diameter

[tex]h=8\ in[/tex]

substitute the values

[tex]V=\pi (3)^{2} (8)[/tex]

[tex]V=72\pi\ in^{3}[/tex]

step 2

To find the number of cups of water, divide the total volume of the sink by the volume of the cylindrical cup

[tex](\frac{2,000}{3}\pi)/(72\pi)=\frac{2,000}{216}=9.26\ cups[/tex]

Round to the nearest whole number (Round up)

[tex]10\ cups[/tex]

Answer:

HGF

Step-by-step explanation:

the 4th one.

[tex]y = \sqrt{r {}^{2} } - x {}^{2} [/tex]

Answer:

Step-by-step explanation:

[tex]\boxed{1gal.=4qt.=8pt.=16c}\\\\1pt.=2c.\Rightarrow 2c.=1pt.\\\\1qt.=8pt.\to1pt.=\dfrac{1}{8}qt.\Rightarrow2pt.=2\cdot\dfrac{1}{8}qt.=\dfrac{1}{4}qt.\\\\1gal=4qt.\Rightarrow4qt.=1gal.[/tex]

0.4 pounds per friend!!

X^4 because it has 4 zeroes ( the graph crosses the x axis 4 times

The parent function of the given graph is:

                    Option: C

                   [tex]F(x)=x^4[/tex]

Since, the graph of the function has four real zeros this means that the parent function must be a function of degree four.

Also, we know that if the degree of the parent function would be odd then the end behavior of the graph ( i.e. the behavior of the graph when x tends to infinity and when x tends to minus infinity ) must be in opposite direction.

But here the graph is in the same direction.

Hence, the degree of the function is four i.e. even.

From the given choice the choice that best matches the condition is:

     [tex]F(x)=x^4[/tex]

Answer:

The answers of the proof are the following:

2. Division Property of Equality

3. x+ 1 = -4

4. Subraction Property of Equality

5. x = -5

Answer:

f(x) = (x + 3) - 7

Step-by-step explanation:

the original function f(x) = x - 9 is the parent function f(x) = x shifted down 9 units

from f(x) = x - 9, we are told that the function is shifted 2 units up, this is a vertical shift. so we add 2 to -9

-9 + 2 = -7

we now have f(x) = x - 7

next we are told that the function is shifted 3 units to the left. this is a horizontal shift. a horizontal shift looks similar to this:

f(x) = (x ± b)

if a function is shifted to the left, we would use an addition sign. if it was going to the right, we would use a subtraction sign

the function looks like the following when we apply the above knowledge

f(x) = (x + 3) - 7 this would be our new function

The new function will be f(x) = (x + 3) - 9 + 2.

The function given is f(x) = x - 9. When this function is shifted 2 units up and 3 units to the left, the new function is obtained by transforming the original function accordingly.

Shifting up by 2 units means adding 2 to the function, and shifting 3 units to the left means substituting x+3  for x.

Thus, the new function, after applying the transformations, is:

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

Simplifying the above transformation, we get:

f(x) = x - 4

____________________________________________________

Answer:

Your answer would be -43

____________________________________________________

Step-by-step explanation:

To solve this problem, we would need to plug in the number "5" in x.

Therefore, your equation should look like this:

[tex]-2(5)^2+2(5)-3[/tex]

First, you would need to solve the exponent, making it equivalent to 5 × 5, then you can solve with ease.

[tex]-2(5)^2+2(5)-3\\\\-2(25)+2(5)-3\\\\-50+10-3\\\\=-43[/tex]

All we did when we solved this was plug in and solve, that's really the only thing you need to do in questions like this.

When you're done solving, you should get the answer -43.

-43 would be your FINAL answer.

____________________________________________________

Answer:

Step-by-step explanation:

√2= 1.414 because ; (1.414)² =1.999396≃2

Answer:

-The percentage is about 66%

-Decreased

Step-by-step explanation:

- Because it's decreasing to 60 point to get to 34 miles.

- 94 minus 34 it decreased

PLZ MARK BRANILIST I'M IN THE NEED OF IT......

66% decreasing good luck

Answer:

The Answer is C. 35 in

Step-by-step explanation:

This is easy 5 x 7 = 35

Question :-

Answer :-

[tex] \rule{180pt}{3pt}[/tex]

Diagram :-

[tex]\setlength{\unitlength}{1.2cm}\begin{picture}(0,0)\thicklines\qbezier(2.3,0)(2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,-2.121)(0,-2.3)\qbezier(2.3,0)(2.121,-2.121)(-0,-2.3)\qbezier(-2.3,0)(0,-1)(2.3,0)\qbezier(-2.3,0)(0,1)(2.3,0)\thinlines\qbezier (0,0)(0,0)(0.2,0.3)\qbezier (0.3,0.4)(0.3,0.4)(0.5,0.7)\qbezier (0.6,0.8)(0.6,0.8)(0.8,1.1)\qbezier (0.9,1.2)(0.9,1.2)(1.1,1.5)\qbezier (1.2,1.6)(1.2,1.6)(1.38,1.9)\put(0.2,1){\bold{7.5 \: yd}}\end{picture}[/tex]

Solution :-

As per the provided information in the given question, we have been given that the diameter of the sphere is 15 yd. Thus, the radius of the sphere is 7.5 yd. We have been asked to find or calculate the surface area of the sphere.

To calculate the surface area of the sphere, we will use the formula below :-

[tex]\bigstar \:\:\:\boxed{\sf{\:\:Surface \: Area_{(Sphere)} = 4\pi r^2 \:\:}}[/tex]

Substitute the given values into the above formula and solve for surface area:

[tex]\sf:\implies Surface \: Area_{(Sphere)} = 4\pi r^2[/tex]

[tex]\sf:\implies Surface \: Area_{(Sphere)} = (4)(3.14)(7.5 \: yd)^2[/tex]

[tex]\sf:\implies Surface \: Area_{(Sphere)} = (4)(3.14)(56.25 \: yd^2)[/tex]

[tex]\sf:\implies Surface \: Area_{(Sphere)} = (4)(176.625 \:yd^2)[/tex]

[tex]\sf:\implies \bold{Surface \: Area_{(Sphere)} = 706.5 \: yd^2}[/tex]

Therefore :-

[tex]\\[/tex]

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