pls help. as soon as possible

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:

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:

Answer:

Yes,y=2x

Step-by-step explanation:

Answer: option a: Yes, y=2x

Step-by-step explanation:

i did it in edu

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:

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.

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

Answer:

HGF

Step-by-step explanation:

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

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:

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:

The Answer is C. 35 in

Step-by-step explanation:

This is easy 5 x 7 = 35

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

C.) y = 4c is the answer

the 4th one.

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

Answer: is C.

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

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:

Step-by-step explanation:

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

Answer:

(d)

Step-by-step explanation:

(d) is correct.  This being a 5th power of x, the graph starts in Quadrant III and continues growing into Quadrant I.  This is true of any positive odd power of x.

The best statement describes The graph of the function starts low and ends high.

The Option (d) is correct.

The end behavior of a polynomial function is determined by its leading term, which is the term with the highest degree. The coefficients of the leading term also play a significant role.

For the function [tex]\( F(x) = 3x^5 + 4x^3 - x + 11 \)[/tex], the leading term is[tex]\( 3x^5 \)[/tex]. Since the coefficient of[tex]\( x^5 \)[/tex] is positive, as[tex]\( x \)[/tex] approaches positive infinity[tex](\( x \to \infty \))[/tex], the function [tex]\( F(x) \)[/tex] will go to positive infinity [tex](\( F(x) \to \infty \))[/tex]. Similarly, as[tex]\( x \)[/tex]approaches negative infinity [tex](\( x \to -\infty \)),[/tex] the function [tex]\( F(x) \)[/tex] will go to negative infinity [tex](\( F(x) \to -\infty \))[/tex] because the leading term, being an odd power with a positive coefficient, will dominate and the sign will be negative due to the odd power.

So, the end behavior of the function is:

- Starts low (as[tex]\( x \)[/tex] goes to negative infinity,[tex]\( F(x) \)[/tex] goes to negative infinity).

- Ends high (as[tex]\( x \)[/tex] goes to positive infinity, [tex]\( F(x) \)[/tex] goes to positive infinity).

This corresponds to option D: "The graph of the function starts low and ends high."

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.

____________________________________________________

-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:

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

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]

0.4 pounds per friend!!

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]

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:

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:

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]

Learn more about the surface area of the sphere at https://brainly.com/question/28988747

Have a great day! <33

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

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