Answer:
3847 ft³
Step-by-step explanation:
The volume of a cylinder of radius r and height h is V = πr²h.
Here, the volume is V = π(7 ft)²(25 ft) = 1225π ft³, or approximately 3847 ft³.
lots of points and not really hard and wont take too long to solve!!! plz help
Here all you need to know to solve this exercise:
1) When you write the equation of a line in the form
[tex]y=mx+q[/tex]
the slope is the coefficient m.
2) When you know that the line passes through a point [tex](x_0,y_0)[/tex] and has slope m, the equation of the line is given by
[tex]y-y_0=m(x-x_0)[/tex]
3) Let [tex]m_1,m_2[/tex] be the slopes of two lines. If the lines are parallel, then [tex]m_1=m_2[/tex]. If the lines are perpendicular, then [tex]m_1m_2=-1[/tex].
In the first exercise, using point 1, you can see that the slope of the given line is 2. We want a parallel line passing through the given point. So, our line has the same slope, and its equation is (see point 2)
[tex]y-2=2(x+1) \iff y = 2x+4[/tex]
Similarly, in the second exercise, the original slope is 1/3, so the perpendicular slope is -3. The equation will be, imposing the passage through the given point,
[tex]y-6 = -3(x-0) \iff y = -3x+6[/tex]
Answer:
see explanation
Step-by-step explanation:
19
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c yje y- intercept )
y = 2x - 3 is in this form with slope m = 2
• Parallel lines have equal slopes, hence
y = 2x + c ← partial equation of parallel line
To find c substitute (- 1, 2) into the partial equation
2 = - 2 + c ⇒ c = 2 + 2 = 4
y = 2x + 4 ← equation of parallel line
20
Rearrange x - 3y = 5 into slope- intercept form
Subtract x from both sides
- 3y = - x + 5 ( divide all terms by - 3 )
y = [tex]\frac{1}{3}[/tex] x - [tex]\frac{5}{3}[/tex] ← in slope- intercept form
with slope m = [tex]\frac{1}{3}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{1}{3} }[/tex] = - 3, so
y = - 3x + c
The line passes through (0, 6) ⇒ c = 6
y = - 3x + 6 ← equation of perpendicular line
What is the point-slope form of a line that has a slope of –4 and passes through point (–3, 1)?
Answer:
[tex]\large\boxed{y-1=-4(x+3)}[/tex]
Step-by-step explanation:
The point-slope form of an equation of a line:
[tex]y-y_1=m(x-x_1)[/tex]
m - slope
We have m = -4 and the point (-3, 1). Substitute:
[tex]y-1=-4(x-(-3))\\\\y-1=-4(x+3)[/tex]
Answer:
y-1=-4[x-(-3)]
Step-by-step explanation:
Jack invested $5,280 in a regular savings account that paid
simple interest at a rate of 1.15% per year. How much was
his investment worth in one year?
$6,072
$60.72
$5,340.72
$5,281.15
$5887.20
Final answer:
To calculate the value of Jack's investment after one year, we can use the formula for simple interest: Simple Interest = Principal x Rate x Time. Plugging in the values, we find that Jack's investment will be worth $5,340.72 after one year.
Explanation:
To calculate the value of Jack's investment after one year, we can use the formula for simple interest:
Simple Interest = Principal x Rate x Time
In this case, the principal is $5,280, the rate is 1.15% (which can be written as 0.0115), and the time is one year. Plugging in these values, we get:
Simple Interest = $5,280 x 0.0115 x 1 = $60.72
To find out the total value of the investment after one year, we need to add the simple interest to the principal amount:
Total Value = Principal + Simple Interest = $5,280 + $60.72 = $5,340.72
Therefore, Jack's investment will be worth $5,340.72 after one year.
Ben and jack took part in a cycle race Ben took 47 minutes 39 seconds and jack took 54 minutes 12 seconds to complete the race
What is the difference between the two times
Answer:
Jack took 6 minutes and 33 seconds longer to complete the race.
Step-by-step explanation:
54 minutes minus 47 minutes would equal 7 minutes longer, but Jack was not as far into the minute when he completed it as Ben was when he completed it, so the difference in time is actually going to be a bit less than 7 minutes. So the difference is going to be 6 minutes and the number of seconds between 39 and 12, with 39 going past the minute, that is. That equals out to 33 seconds, so the total difference in time is 6 minutes and 33 seconds.
What is the 8th term of the geometric sequence with this explicit formula?
an= 7• (-2) (n - 1)
Answer:
- 896
Step-by-step explanation:
To find the 8 th term substitute n = 8 into the explicit formula
[tex]a_{8}[/tex] = 7 × [tex](-2)^{7}[/tex] = 7 × - 128 = - 896
The 8th term of the given geometric sequence is -896.
The explicit formula
an = 7 × (-2)(n - 1).
To find the 8th term, simply substitute 8 for n in the formula, giving us:
a(8) = 7 × (-2[tex])^{(8 - 1)}[/tex] a(8) = 7 × (-2[tex])^{7}[/tex] a(8) = 7 × (-128)a(8) = -896please I don’t understand this I need help #2
Answer:
True for B)y=-4x^2+9
Step-by-step explanation:
The a part of the equation is negative (-4x^2), and this quadratic function has a maximum, which means it opens down not up.
(I hope this helps)
If PA = 6, PD = 4 and BE = 5. Find PE
A) 4
B) 5
C) 6
Answer:
Option A) 4
Step-by-step explanation:
we know that
Applying the Intersecting Secant-Tangent Theorem
[tex]PA^{2}=(BE+PE)( PE)[/tex]
substitute the given values
[tex]6^{2}=(5+PE)( PE)\\ \\36=PE^{2}+5PE\\ \\PE^{2}+5PE-36=0[/tex]
Solve the quadratic equation by graphing
The solution is PE=4 units
see the attached figure
Answer:
The answer is 4
Step-by-step explanation:
Vincent borrowed $500 from Mitchell for six months. How much interest will Mitchell earn if he charges Vincent a simple interest rate of 3 percent? simple interest = P × r × t
Principal P = $500, Rate = 3 % = 3/100 = 0.03 would assume per year,
Time t = 6 months = (6/12) year = 0.5 year.
Simple Interest, I = P*r*t
= 500*0.03*0.5 = 7.5
Simple interest = $7.50
Which of these pairs of events are dependent?
a. You flip a coin and get tails. You flip it a second time and get heads.
b. You pull your friend's name out of a hat that holds 20 different names, replace
name, then draw out your friend's name again.
c. You spin a spinner divided into five equal parts and is numbered 1-5. You get a 3 on the first spin, and then spin again and get a 2 on the second spin.
d. You remove a black sock from a drawer without looking, then remove another black
sock.
Answer:
d
Step-by-step explanation:
a, b, and c are independent, because they don't necessarily affect the probability of each other.
In summary, the pair of events that are dependent is drawing a black sock from a drawer and then drawing another without replacement. This is because the first event changes the conditions for the second, affecting its probability.
Explanation:Whether two events are dependent or independent affects the calculation of their probability. Independent events have no impact on the likelihood of each other occurring, while dependent events do.
Event a (flipping a coin twice) involves independent events because the outcome of the first flip does not affect the second flip's outcome.Event b (drawing a friend's name from a hat, replacing it, and drawing again) also involves independent events as the outcome of the first draw is not affected by the second, thanks to the replacement.Event c (spinning a numbered spinner twice) is another example of independent events since the result of the first spin does not affect the second spin.Event d (removing black socks from a drawer one after another without replacement) involves dependent events because the outcome of the first draw affects the probability of the second; removing one sock changes the total number of socks, which affects the chances of drawing a black sock again.Thus, Event d is the pair of dependent events.
Use Vocabulary in Writing
11. Explain why the order of operations is important. Use at least three
terms from the Word List in your explanation.
Topic 13
Vocabulary Review
766
Answer: The Order of Operations is very important when simplifying expressions and equations. The Order of Operations is a standard that defines the order in which you should simplify different operations such as addition, subtraction, multiplication and division.
Step-by-step explanation:
2/7x+1/4x=3/14x+1 help me please
8x+7x=6x+28
15x=6x+28
15x-6x=28
9x=28
X=28/9
I hope this helps
what is the product of 10√20 and 9√8
[tex]10 \div 20 = 0.5 \: and \: 9 \div 8 = 1.125[/tex]
Answer:
1800
Step-by-step explanation:
10√20 × 9√8
10 × 5√2 × 9 × 2√2
50√2 × 18√2
50 × 18 × 2 = 1800
EMERGENCY!!PLEASE HELP
What features would need to be included on a scatterplot so that the data can be easily analyzed? Make a list of needed features and explain why each is important to the graph.
The more plot point the better but you must have at least three points, a labeled X-axis and Y-axis, and a table for the data to be organized into.
Answer:
See the explanation below
Step-by-step explanation:
Scatter plot is a graph that employs Cartesian coordinates to show the values of typically two variables plotted on the horizontal and vertical axes for a given set of data. The name of the relationship between the two variables that is shown by the scatter plot is referred to as correlation.
The following are the features of a scatter plot:
1. An X axis also known as the horizontal axis), and a Y axis which is also known as the vertical axis.The reason for these two axes is to obtain the Cartesian coordinates of the two variables X and Y.
2. Dots: There are must be dots on a scatter graph. The purpose of each of the dots is to indicate one observation of the data set.
3. Unique position of each dot: The purpose of the position of each dot is to indicate the meeting point of X and Y values.
a square has a diagonal length of 5 cm what is the area of a square
Answer:
Area of square = 12.48 cm^2
Step-by-step explanation:
Since the square has all sides equal, and when diagonal is made, square form two right angled triangles. Using Pythagoras theorem we can find the length of side of the square.
[tex]c^2 = a^2 + b^2[/tex]
where c = 5cm and a==b (square has all sides equal)
Putting value of b = a
[tex](5)^2 = a^2 + a^2\\25 = 2 a^2\\25/2 = a^2\\=> a^2 = 12.5\\ => \sqrt{a^2} = \sqrt{12.5}\\=> a = 3.53\, cm[/tex]
So, length of side of square = 3.53
Area of square = (3.53)^2
Area of square = 12.48 cm^2.
The answer is:
The area of the given square is equal to [tex]12.5cm^{2}[/tex]
[tex]Area=12.5cm^{2}[/tex]
Why?To solve the problem, we don't need to calculate the length of the sides of the square. We are given the diagonal length of the square, so using the following formula, we can calculate the are of the square without knowing the sides:
[tex]Area=\frac{diagonal^{2} }{2}[/tex]
So, substituting we have:
[tex]Area=\frac{(5cm)^{2} }{2}=\frac{25cm^{2} }{2}=12.5cm^{2}[/tex]
Hence, we have that the area of the given square is equal to [tex]12.5cm^{2}[/tex]
Have a nice day!
Find the volume of a square pyramid with a base area of 18 in.² and a height of 6 in
ANSWER
36 cubic inches.
EXPLANATION
The volume of a square pyramid is calculated using the formula:
[tex]V = \frac{1}{3} {l}^{2} \times h[/tex]
where l² is the area of the base and h= 6 inches is the height of the square pyramid.
We substitute the values into the formula to get,
[tex]V = \frac{1}{3} \times 18 \times 6 \: {in}^{3} [/tex]
We simplify to get:
[tex]V = 6 \times 6 =3 6 {in}^{3} [/tex]
Therefore the volume of the square pyramid is 36 cubic inches.
I WILL GIVE BRANLY A librarian kept track of the kinds of books that boys and girls checked out in one day. Which graph best represents this data?
Answer:
You did not give me any graphs but I've dealt with this question and the answer is: The Double Bar Graph if you have the graph that was put for my answer. Good luck, hope this helps. Double Bar Graph information: Vertical double-bar graph with title Books Checked Out. Key shows grey equals boys and pink equals girls. Data graphed is Biography 8 boys and 10 girls, Mystery 18 boys and 15 girls, Science 14 boys and 11 girls, and Sports 12 boys and 14 girls.
Heres the graphs xd (I have the same test)
What set of transformations
Set of transformations is a set conditioned by a function that transforms element from definition set to transformation set.
[tex]f: A\longrightarrow B[/tex], where A is definition set and B is transformation set.
Here is an example.
You are given definition set [tex]A=\{1, 2, 3\}[/tex] and a function [tex]f(x)=x^2[/tex]. To calculate which elements are in transformation set we write [tex]f(A)=\{1, 2, 3\}^2={1, 4, 9}\Longrightarrow\boxed{B=\{1, 4, 9\}}[/tex] and B is now the transformation set of definition set A that is conditioned by function f.
Hope this helps.
r3t40
What is the general form of the equation of the line shown?
a.)x + y = 0
b.)x - y = 0
c.)-x - y = 0
Check the picture below. So let's use those two points on the line.
[tex]\bf (\stackrel{x_1}{0}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{3}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{3-0}{3-0}\implies \cfrac{3}{3}\implies 1 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-0=1(x-0)\implies y=x \\\\\\ -x+y=0\implies \stackrel{\textit{standard form}}{x-y=0}[/tex]
bearing in mind that the standard form is also a general form.
standard form for a linear equation means
• all coefficients must be integers, no fractions
• only the constant on the right-hand-side
• all variables on the left-hand-side, sorted
• "x" must not have a negative coefficient
Answer:
B. x - y = 0
Step-by-step explanation:
Lani's mom wants to put a fence around her garden. garden is 22 feet × 18 feet How many feet of fencing will she need?
Answer:
Lani's mom will need 80 ft of fencing
Step-by-step explanation:
We are looking for the perimeter of the garden. We know that the garden is 22 ft x 18 ft. This means that we can find the perimeter using this equation
[tex]22(2)+18(2)=80[/tex]
On Monday, Kevin wrote a check for $575 to pay his rent. On Tuesday, he deposited at
$638. On Friday, he wrote checks for $75 for groceries and S266 for a car repair Wasche
the overall change in his checking account balance for the week, in dollars?
a. -278
b. -916
c. -1554
d. --178
Answer:
a
Step-by-step explanation
-(575+266+75)+638
Specify the domain for he function !!! A-B-C-D 10 points. MATH 3
ANSWER
[tex]( - \infty , - \frac{4}{3} ) \cup( \frac{1}{2} , \infty )[/tex]
EXPLANATION
The given function is
[tex]f(x) = \sqrt{ \frac{2x - 1}{3x + 4} } [/tex]
The domain refers to all values of x for which f(x) is defined.
This function is defined if
[tex] \frac{2x - 1}{3x + 4} > 0[/tex]
This implies that
[tex]x \: < \: - \frac{4}{3} \: or \: x \: > \: \frac{1}{2} [/tex]
Or
[tex]( - \infty , - \frac{4}{3} ) \cup( \frac{1}{2} , \infty )[/tex]
The steps to derive the quadratic formula are shown below: Step 1 ax2 + bx + c = 0 Step 2 ax2 + bx = − c Step 3 Step 4 x2 + Step 5 x2 + Step 6 Step 7 Step 8 x = − Step 9 x = Which of the following is the first incorrect step? Step 2 Step 3 Step 4 Step 7
Its a bit late, but i wish someone would had answered so
Step 3:
✔ B
Step 5:
✔ D
Step 6:
✔ A
Step 8:
✔ C
:)
The first incorrect step in the given sequence is Step 3, where the equation is divided by 'a' on both sides instead of factoring it out and grouping the terms.
Explanation:The quadratic formula is derived by completing the square on the general quadratic equation ax^2 + bx + c = 0. The first incorrect step in the given sequence is Step 3. In Step 3, the equation ax^2 + bx + c = 0 is divided by a on both sides, which results in the equation x^2 + (b/a)x + (c/a) = 0. However, the correct next step should be factoring out the leading coefficient a and grouping the terms.
Learn more about Quadratic Formula here:
https://brainly.com/question/32591097
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The first steps in determining the perimeter of triangle ABC are shown.
To the nearest whole unit, what is the perimeter of triangle ABC?
Answer: [tex]P=14units[/tex]
Step-by-step explanation:
The perimeter of a triangle is the sum of the lenghts of its sides.
Given the triangle ABC , its perimeter will be:
[tex]P=AB+BC+CA[/tex]
Then, you know that the lenghts of the sids of the triangle ABC are:
[tex]AB=3units\\BC=5units\\CA=\sqrt{(3)^2+(-5)^2}=\sqrt{9+25}=\sqrt{34}=5.83units[/tex]
Therefore, to find the perimeter of this triangle, you need to substitute these lengthts into the formula [tex]P=AB+BC+CA[/tex].
So, the perimeter of the triangle ABC is:
[tex]P=3units+5units+5.83units=13.83units[/tex]
To the nearest whole unit is:
[tex]P=14units[/tex]
Answer:
14 units
Step-by-step explanation:
.
What is 24 expressed as a decimal?
Enter your answer in the box.
0.24/100 is the answer
.24 :) i hope this helped
Help please I don’t know please
Answer:
[tex]-\frac{3}{10}[/tex]
Step-by-step explanation:
Slope is the change in y coordinates by change in x coordinates.
Or [tex]m=\frac{\delta y}{\delta x}[/tex]
Looking at the table, the change in each value of x is 10 (10 to 20 to 30 to 40).
Also, the change in each valueof y is -3 (20 to 17 to 14 to 11).
Note: change in y is negative since it is DECREASING.
Hence the slope would be -3/10
Simplify the difference. (–7x – 5x^4 + 5) – (–7x^4 – 5 – 9x)
Answer: [tex]2x^4+2x+10[/tex]
Step-by-step explanation:
You need to remember the mulplication of signs:
[tex](+)(+)=+\\(-)(-)=+\\(-)(+)=-[/tex]
Knowing this, you can distributive the negative sign. Then you get:
[tex](-7x- 5x^4 + 5) - (-7x^4 - 5 - 9x)=-7x- 5x^4 + 5 +7x^4 + 5 + 9x[/tex]
Now you need to add the like terms. Then:
[tex]=2x+2x^4+10[/tex]
Finally, you can order the polynomial obtained in descending order. Therefore, the answer is:
[tex]=2x^4+2x+10[/tex]
Solve for y.
28+19y=-8+15y
symplify your answer as much as possible
Joe is filling the washing machine to wash clothes. After one minute, there are 1.75 gallons of water in the washing machine. After two minutes, there are 3.5 gallons of water in the machine. After three minutes, there are 5.25 gallons in the machine. If this pattern continues, how many gallons of water will be in the washing machine after six minutes?
Answer:
Final answer is 10.5 gallons of water.
Step-by-step explanation:
Given that Joe is filling the washing machine to wash clothes. After one minute, there are 1.75 gallons of water in the washing machine. After two minutes, there are 3.5 gallons of water in the machine. After three minutes, there are 5.25 gallons in the machine. Now we need to determine If this pattern continues then about how many gallons of water will be in the washing machine after six minutes.
Look at the pattern of volume of the water at given minutes.
We see that 1.75 is added each minute.
then required equation of volume is
V=1.75t
So for t=6 minutes, volume is given by
V=1.75*6=10.5
Hence final answer is 10.5 gallons of water.
The amount of water in the washing machine after six minutes can be determined using an arithmetic sequence formula. The machine fills at a constant rate of 1.75 gallons per minute, so after six minutes, there will be 10.5 gallons of water in the machine.
The question provided concerns a pattern of water filling a washing machine, which falls under the subject of arithmetic sequences in mathematics. To determine how many gallons of water will be in the washing machine after six minutes, we need to recognize the sequence and apply the appropriate formula.
To solve this problem, we note that the washing machine fills at a constant rate of 1.75 gallons per minute because the amount of water increases by 1.75 gallons with each passing minute (1.75 gallons at minute one, 3.5 gallons at minute two, which is 1.75 x 2, and 5.25 gallons at minute three, which is 1.75 x 3).
Mathematically, this can be represented as an arithmetic sequence with the first term a1 = 1.75 gallons and the common difference d = 1.75 gallons. The nth term of an arithmetic sequence is given by the formula an = a1 + (n - 1)d. So, to find the amount of water after six minutes, substitute 6 for n, which yields:
a6 = 1.75 + (6 - 1) times 1.75
a6 = 1.75 + 5 times 1.75
a6 = 1.75 + 8.75
a6 = 10.5 gallons
Therefore, after six minutes, there will be 10.5 gallons of water in the washing machine if the pattern continues.
Rationalise the denominator 5 by√7-√5
⇛{5(√7+√5)}/2.
Step-by-step explanation:
Given,
5/(√7-√5)
The denominator is √7-√5.
We know that
The rationalising factor of √c-√a is √c+√a.
Therefore, the rationalising factor of √7-√5 is √7+√5. To rationalise the denominator of 5/(√7-√5), we multiply this by (√7+√5)/(√7+√5).
⇛{5/(√7-√5)}/{(√7+√5)/(√7+√5)}
⇛{5(√7+√5)}/{(√7-√5)(√7+√5)}
⇛{5(√7+√5)}/{(√7)²-(√5)} [∵ (a-b)(a+b)=a²-b²]
⇛{5(√7+√5)}/{(√7*7)-(√5*5)}
⇛{5(√7+√5)}/(7-5)
⇛{5(√7+√5)}/2
Hence, the denominator is rationalised.
Read more:
Similar Question;
rationalise the denominator 1/√20..
https://brainly.com/question/19473806?referrer
help ASAP!!! .........................
Answer: The answer to your question is B.
Step-by-step explanation: