If r=4 units and x=8 units then what is the volume of the cylinder?

The x intercept is [tex](\frac{-2}{5}, 0)[/tex]

The y intercept is [tex](0, \frac{-2}{3})[/tex]

Solution:

Given equation is:

10x + 6y = -4

The x intercept is the point where the line crosses the x axis

The y intercept is the point where the line crosses the y axis

Find x intercept:

Substitute y = 0 in given equation

10x + 6(0) = -4

10x = -4

[tex]x = \frac{-4}{10}\\\\x = \frac{-2}{5}[/tex]

Thus the x intercept is [tex](\frac{-2}{5}, 0)[/tex]

Find y intercept:

Substitute x = 0 in given equation

10(0) + 6y = -4

[tex]6y = -4\\\\y = \frac{-4}{6}\\\\y = \frac{-2}{3}[/tex]

Thus the y intercept is [tex](0, \frac{-2}{3})[/tex]

Answer:

Statements and reasons for the proof is shown in the attachment

Step-by-step explanation:

The statements and reasons are as shown in the attached file.

The knowledge of congruency in triangles is applied.

Step-by-step explanation:

Reflection through y-axis.

Answer:wait

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

6 of 30 is the ratio 6 to 30 or 6/30.

6/30 reduces to 1/5

The survey shows that 1/5 of the students attend summer camp.

1/5 of 200 = 1/5 * 200 = 40

Answer:

387/4

Step-by-step explanation:

121+8=129

3/4(129)=387/4

Answer:

Discrete data means that it is not continuous and is graphed as a line with dashes.Continuous data goes on forever and is usually linear. It is graphed as a straight line all the way through.

Step-by-step explanation:

Hope that helps.

Answer:

y=15/7x-4

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(11-(-4))/(7-0)

m=(11+4)/7

m=15/7

y-y1=m(x-x1)

y-(-4)=15/7(x-0)

y+4=15/7(x)

y+4=15/7x

y=15/7x-4

Answer:

2 thirds of the trails are longer than 5 Km

Step-by-step explanation:

A line plot that forms a straight line indicates a direct relationship between the two variables plotted. A graph that shows less deviation from the line of best fit is a good candidate for linear regression. Line graphs are typically used to show trends over time.

When considering a line plot or any graphical representation of data such as scatter plots or line graphs, the main goal is to uncover the underlying pattern or relationship presented. If the data, when graphed, forms a straight line, it suggests a direct relationship between the variables involved. This implies that as one variable increases, the other variable either increases or decreases by a consistent rate. For instance, if one plot shows a line from (0,8) to (3,2), there's a decrease as the first variable increases. Conversely, a line from (0,2) to (3,2) or from (0,3) to (3,3) suggests no change, indicating a directly horizontal line and therefore no relationship. When determining good candidates for linear regression, a scattering of points closely aligned in a straight line pattern, with little deviation from the line of best fit, is indicative of such. Linear regression is more accurate when the variance around the line of best fit is minimal, as seen in the second graph described. Line graphs specifically are useful for showing data trends over time, where the x-axis typically represents time and the y-axis represents another variable.

A. A 90° counterclockwise rotation of trapezoid JKLM about the origin will move angle L onto angle R.

Step-by-step explanation:

Since both the trapezoids, trapezoid JKLM and PQRS are congruent, we can do any transformation, may be rotation, reflection and translation.

A 90° counterclockwise rotation of trapezoid JKLM about the origin will move angle L onto angle R is the true statement others are incorrect statements.

When the Preimage is rotated 90° counterclockwise rotation, then its coordinates (x,y) changed into (-y,x)  

Answer:

An expression to represent the number of butterflies he has is  y = 12 + 2x

Step-by-step explanation:

Let the number of butterflies in Eduardo’s collection be  y

Then according to the question

The number of moths = x

The number of butterflies y = 12 + twice the number of moths---------(1)

Twice the number of moths = [tex]2 \times \text{number of moths}[/tex]

Twice the number of moths = 2x -----------------------(2)

Substituting equation (2) in (1)

The number of butterflies y = 12 + 2x

Answer:

25.5

Step-by-step explanation:

Answer:

12 : 3

Step-by-step explanation:

You put the depth of the deep before the depth of the shallowness to get the ratio.  The ratio could be written like,

12 : 3

12 / 3

12 to 3

Answer:

the answer to the question is 12:3

Answer:

Option A

Step-by-step explanation:

It is given that Marta sold [tex]$ x $[/tex] oranges on Thursday.

She has sold twice as many as on Friday. Therefore, she must have sold [tex]$ 2x$[/tex] oranges on Friday.

And the total amounts to 108.

That is, [tex]$ x + 2x = 108 $[/tex]

Hence, the table which has the total on the top and the entities on the bottom line would be the answer which is Option A.

Answer:

A

Step-by-step explanation:

Thursday is x because she sold x oranges. Friday is 2x because she sold double the amount she sold on Thursday. Then we add them together to make 108.

Answer:

Roxy has 7 necklaces.

Step-by-step explanation:

35 = n + 4n

35 = 5n

5  =   5

n = 7

The problem is a simple algebra problem related to ratios. By setting up an equation according to the given information, we find that Roxy has 7 necklaces.

This is a math problem concerning ratios and simple algebra. Let's denote the number of necklaces that Roxy has as R. Then, Kelly has 4 times more rings, which is 4R. Together they have 35. So, the equation can be set up as:

R + 4R = 35

Combine like terms, you get:

5R = 35

Then, you can solve for R by dividing both sides by 5:

R = 35/5 = 7

So, Roxy has 7 necklaces.

https://brainly.com/question/22399890

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Answer:

The total cost of the car including the down payment  = $12,500

Step-by-step explanation:

The Original price of the car  = $9800

The amount paid for down payment  = $500

Also, the monthly payment  amount  = $250

Now, the number of months, the amount is paid  = 48 months

So, the TOTAL amount paid in 48  months

= 48 x ( Amount paid each month)   = 48 x ( $250)

= $12,000

So, the TOTAL PRICE of CAR paid  = Total amount paid in 48 months  + The amount paid for down payment

= $12,000 +  $500

= $12,500

Hence, the total cost of the car including the down payment  = $12,500

Answer:

Step-by-step explanation:

-8 -(-1)-5

Opening bracket

= -8 + 1 - 5

= -12

The student's expression -8 -(-1)-5 simplifies to -8 + 1 - 5, which is equal to -12 after performing the addition and subtraction sequentially.

The expression in question is -8 -(-1)-5. To solve this, we need to recognize that subtracting a negative number is the same as adding its positive equivalent. So, the expression simplifies to -8 + 1 - 5.

Now, we perform the addition and subtraction in the order they appear:

Therefore, the expression -8 -(-1)-5 is equivalent to -12.

Answer: 8 squared equals 8 plus 56

Step-by-step explanation:

What you would do is find a number squared that is greater than 56. I used 8 because 8 squared is 64. So i squared that and got 64, I then subtracted 8 from 64 because you would need to use the same x value in the equation and that lead me t getting 56. All in all x=8.

Answer:

[tex]\sqrt{1.8}<1.8[/tex]

[tex]\sqrt{1.8}>1[/tex]

[tex]\sqrt{1.8}<\sqrt{1.9}[/tex]

[tex]1.3<\sqrt{1.8}<1.4[/tex]

[tex]\sqrt{1.8}+\sqrt{1.9}[/tex]

Step-by-step explanation:

[tex]\sqrt{1.8} = 1.34[/tex]     [tex]\sqrt{1.9} = 1.38[/tex]       [tex]\sqrt{1.8}+\sqrt{1.9}=1.34+1.38=2.72[/tex]

[tex]\sqrt{1.9}-\sqrt{1.8}=1.38-1.34=0.04[/tex]

1.

[tex]\sqrt{1.8}<1.8[/tex]

It is true. since 1.34<1.8

2.

[tex]\sqrt{1.8}>1[/tex]

It is true. Since 1.34>1

3.

[tex]\sqrt{1.8}<\sqrt{1.9}[/tex]

It is true. since 1.34<1.38

4.

[tex]1.3<\sqrt{1.8}<1.4[/tex]

It is true. Since 1.3<1.34<1.4

5.

[tex]\sqrt{1.8}+\sqrt{1.9}[/tex]>2

It is true. Since 2.72>2

6.

[tex]\sqrt{1.8}-\sqrt{1.9}>0.1[/tex]

It is false. Since 0.04<0.1

Answer:

Elijah is  standing from the base of the monument 159.14 feet

Step-by-step explanation:

see the attached figure to better understand the problem

In the right triangle ABC

[tex]tan(74^o)=\frac{BC}{AC}[/tex] ----> by TOA (opposite side divided by the adjacent side)

substitute the given values

[tex]tan(74^o)=\frac{555}{AC}[/tex]

solve for AC

[tex]AC=\frac{555}{tan(74^o)}=159.14\ ft[/tex]

therefore

Elijah is  standing from the base of the monument 159.14 feet

Answer:a

Step-by-step explanation:

Answer:

3 inches

It will fit in the paper.

Step-by-step explanation:

In the scale drawing the 2 feet original length is converted to 1 inch drawing length as Kelly constructs a scale model of the rock garden using the scale 1 inch  : 2 feet.

Now the proportion is 1 inch : (2 × 12) inches = 1 : 24 {Since 1 foot is equivalent to 12 inches}

Now, maintaining that scale ratio the 6 feet original length of the garden will be converted to [tex]\frac{1}{24} \times (6 \times 12) = 3[/tex] inches in the drawing.

It is also given that the width of the garden in the scale model is 5 inches and the scale is still 1 inch : 2 feet.

Therefore, the dimensions of the garden in the model is 3 inches by 5 inches and this will fit on a piece of paper that is 8.5 inches by 7 inches. (Answer)

x ≤ 12

Solution:

Let us take the number be x.

A number : x

A number divided by three : [tex]$\frac{x}{3}[/tex]

A number divided by three less two : [tex]$\frac{x}{3}-2[/tex]

A number divided by three less two is at most two : [tex]$\frac{x}{3}-2\leq 2[/tex]

Now, simplify the inequality,

[tex]$\Rightarrow\frac{x}{3}-2\leq 2[/tex]

Add 2 on both sides of the inequality,

[tex]$\Rightarrow\frac{x}{3}-2+2\leq 2+2[/tex]

[tex]$\Rightarrow\frac{x}{3}\leq 4[/tex]

Multiply by 3 on both sides of the equation,

[tex]$\Rightarrow\frac{x}{3}\times3\leq 4\times3[/tex]

[tex]$\Rightarrow x\leq 12[/tex]

Hence x ≤ 12.

Final answer:

The question requires setting up an inequality to express the condition 'a number divided by three less two is at most two.' The solution of the inequality reveals that the number in question is any number less than or equal to 12.

Explanation:

The student's question involves a number theoretical concept that requires setting up and solving an inequality. To understand the requirement of 'at most two' when a number is divided by three and reduced by two, we would establish an inequality as X / (3-2) ≤ 2, where X is the unknown number. This inequality represents the condition mentioned in the question, which restricts the value of X to a certain range after the operations are performed.

When working through the inequality, we aim to isolate X to determine the possible values it can hold. Here, we would start by adding two to both sides of the inequality to remove the subtraction, leading to X / 3 ≤ 4. Multiplying both sides by 3 gives us X ≤ 12. This tells us that the number in question is any number that is less than or equal to 12.

Understanding mathematical operations and the interpretation of numerals in context is necessary to solve such problems. Specifically, discerning the difference between an 'at least' and 'exactly' reading of numerals impacts the formation and solution of such inequalities.

Answer: d≈7.07

Step-by-step explanation:

l=4 w=5 h=3, then d≈7.07

[tex]d=\sqrt{l^{2}+w^{2} +h^{2} } =\sqrt{4^{2}+ 5^{2}+ 3^{2} } =7.07[/tex]

Hope this helps, now you know the answer and how to do it. HAVE A BLESSED AND WONDERFUL DAY! As well as a great Valentines Day! :-)  

- Cutiepatutie ☺❀❤

Answer:

the order of the matrix is 5 x 3

5 rows and 3 columns

The solution for equation is x = -6

Solution:

Given equation is:

[tex]5(x-2) + (-9) = -7(1-x)[/tex]

We have to solve the equation

According to Bodmas rule, if an expression contains brackets ((), {}, []) we have to first solve or simplify the bracket followed by of (powers and roots etc.), then division, multiplication, addition and subtraction from left to right

Therefore, solve for brackets in given equation

[tex]5(x-2) + (-9) = -7(1-x)\\\\5x - 10 -9 = -7 + 7x[/tex]

Solve for terms in left hand side of equation

[tex]5x - 19 = -7+7x[/tex]

Move the variables to one side and constants to other side

[tex]7x -5x = -19+7\\\\2x = -12\\\\Divide\ both\ sides\ by\ 2\\\\x = -6[/tex]

Thus the solution for equation is x = -6

Answer:

13+11

Step-by-step explanation:

13-11=2 and 13+11=24

Answer:

A numerator is the number that you actually have, the top number in a fraction

Step-by-step explanation:

A numerator is the top number on a fraction, such as 1 in 1/2.

I had trouble at this for a while when I was younger, so hopefully this helps (=>ω<=)

Answer:

Step-by-step explanation:

x-117+120

x+3