When a rectangle is rotated in any axis or a line, the figure created by the rotation is a cylinder.
What figure will give if rectangle is rotated 360 around the y axis?A rectangle is an example of a shape with rotation symmetry. A rectangle can be rotated about its center and it will look exactly the same and be in the same location. The only difference is the location of the named points.
The shape created is a cylinder. Its height will be equal to the length of the side parallel to the axis-of-rotation. Its diameter will be equal to the length of the side perpendicular to the axis-of-rotation.
According to the question
A rectangle is rotated 360 around the y axis.
When a rectangle is rotated in any axis or a line, the figure created by the rotation is a cylinder.
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can someone help me find the answer for this?
Answer for number 1: d and w, or C.
Step-by-step explanation:
because the corner of d and w both are corners of an angle, obtuse. obtuse angles look like this = \_ or _/. the d and w are in those corners
Can someone please help me with my Question #29 of The Quadratic Relations for me please?
Answer:
Calculate the first differences between the y-values:
[tex]\sf 3 \underset{+1}{\longrightarrow} 4 \underset{+3}{\longrightarrow} 7 \underset{+5}{\longrightarrow} 12 \underset{+7}{\longrightarrow} 19[/tex]
As the first differences are not the same, we need to calculate the second differences:
[tex]\sf 1 \underset{+2}{\longrightarrow} 3 \underset{+2}{\longrightarrow} 5 \underset{+2}{\longrightarrow} 7[/tex]
As the second differences are the same, the relationship between the variable is quadratic and will contain an [tex]x^2[/tex] term.
--------------------------------------------------------------------------------------------------
To determine the quadratic equation
The coefficient of [tex]x^2[/tex] is always half of the second difference.
As the second difference is 2, and half of 2 is 1, the coefficient of [tex]x^2[/tex] is 1.
The standard form of a quadratic equation is: [tex]y=ax^2+bx+c[/tex]
(where a, b and c are constants to be found).
We have already determined that the coefficient of [tex]x^2[/tex] is 1.
Therefore, a = 1
From the given table, when [tex]x=0[/tex], [tex]y=12[/tex].
[tex]\implies a(0)^2+b(0)+c=12[/tex]
[tex]\implies c=12[/tex]
Finally, to find b, substitute the found values of a and c into the equation, then substitute one of the ordered pairs from the given table:
[tex]\begin{aligned}\implies x^2+bx+12 & = y\\ \textsf{at }(1,19) \implies (1)^2+b(1)+12 & = 19\\ 1+b+12 & = 19\\b+13 & =19\\b&=6\end{aligned}[/tex]
Therefore, the quadratic equation for the given ordered pairs is:
[tex]y=x^2+6x+12[/tex]
A drawer contains 5 white shirts, 3 yellow shirts, and 4 black shirts. a shirt is randomly selected from the drawer and set aside. then another shirt is randomly selected from the drawer. what is the probability that the first shirt is yellow and the second shirt is black?
[tex]|\Omega|=12\cdot11=132\\|A|=3\cdot4=12\\\\P(A)=\dfrac{12}{132}=\dfrac{1}{11}\approx9.1\%[/tex]
What are the x-intercepts of the following graph?
1
2 3 4
+
3
G
3
&
a. (0, 2) and (0, -2)
b. (0,4)
c. (2,0) and (-2, 0)
d. (1, 0) and (3, 0)
Answer:
c (2,0) and (-2,0) I hope ot helps
If the sales price is 55.50, and the discount is 75%, what is the original price
Answer:
£74
Step-by-step explanation:
£55.50 = 75%
Find 1% of discounted price by dividing both sides by 75 :
£0.74 = 1%
Using 1%, multiply by 100% to find original price :
£74 = 100%
Check our answer :
£74 × 0.75 (75%) = £55.50 ✅
Hope this helped and brainliest please
Answer:
the original price is 416.25. because you take the 55.50 and times ... percent of discount is 75%, sale price is 55.50
Step-by-step explanation:
Your friend Dave has an obsession with hats! The only problem - it's an expensive habit but Dave doesn't seem to think so. You want to help show him exactly how much he is spending on hats. Each hat Dave buys costs \ (\$281). Write an expression to represent the total amount Dave spends on hats (\(h\)).
Answer:
281x
Step-by-step explanation:
each hat (x) cost 281. x times cost is total
1 tablespoon is equivalent to _____ ml.
Answer:
14.787ml
for an approximate result, multiply the volume value by 14.787
hope this helps
✎ let's answer it :3
•┈┈┈••✦ answer ✦••┈┈┈•
->(14.787ml )
hope it helps
correct me if I am wrong
by #galadohannadivine295. janelle got invited to a shopping spree with a friend and is supposed
to meet her at the mall at 4:00 p.m. when she has gone to the mall in the past,
she has noticed that it takes about two hours for her to travel to the mall.
she has also noticed that it takes her 30 minutes
to get ready before leaving her apartment. she concludes that she
needs to start getting ready at 0:30 p.m. this is an example of what?
inductive reasoning or deductive reasoning?
The given example is inductive reasoning.
What is inductive reasoning?The method of arriving at a conclusion based on a series of observations is known as inductive reasoning. It is not a valid method of proof in and of itself.
We have the information that. Janelle got invited to a shopping spree with a friend and is supposed to meet her at the mall at 4:00 p.m. when she has gone to the mall in the past,
she has noticed that it takes about two hours for her to travel to the mall. she has also noticed that it takes her 30 minutes to get ready before leaving her apartment. she concludes that she needs to start getting ready at 0:30 p.m.
The given information is giving us the series of the data like we are having a sequence of the timing at what time what she did so we have a series of observations here.
Therefore the given example is inductive reasoning.
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(4-x)/(x^2-5x+4)+(2)/(x-1)=1
show all steps please!!
Answer:
[tex]x = 2, 4[/tex]
Step-by-step explanation:
Given :
[tex]\frac{4-x}{x^{2} -5x+4} + \frac{2}{x-1} =1[/tex]
=============================================================
Factorize the denominator of the first term :
⇒ x² - 5x + 4
⇒ x² - x - 4x + 4
⇒ x(x - 1) - 4(x - 1)
⇒ (x - 4)(x - 1)
============================================================
Hence, the equation now is :
[tex]\frac{4-x}{(x-1)(x-4)} + \frac{2}{x-1} =1[/tex]
============================================================
Multiply the second term by (x - 4) in the numerator and denominator :
[tex]\frac{4-x}{(x-1)(x-4)} + \frac{2(x-4)}{x-1(x-4)} =1[/tex]
============================================================
Combine the numerator of both terms and bring the denominator to the other side :
[tex]\frac{4-x+2(x-4)}{(x-1)(x-4)} = 1[/tex]
[tex]4 - x+2x-8 = x^{2} - 5x + 4[/tex]
[tex]x - 4 = x^{2} - 5x + 4[/tex]
[tex]x^{2} -5x-x+4+4=0[/tex]
[tex]x^{2} -6x+8=0[/tex]
[tex](x-4)(x-2)=0[/tex]
[tex]x = 2, 4[/tex]
HURRY I NEED IT FAST
15 POINTS
Solve: 3(4-2x)= -x+1 A.x=11/5 B.x=13/5 C.x=-11/7 D. x = 11
Answer:
A) x = [tex]\frac{11}{5}[/tex]
Step-by-step explanation:
3(4 - 2x) = -x + 1
Distribute on the left:
12 - 6x = -x + 1
+ x + x
12 - 5x = 1
- 12 - 12
-5x = -11
Divide both sides by -5 to get x on its own:
x = [tex]\frac{-11}{-5}[/tex]
OR
x = [tex]\frac{11}{5}[/tex]
Have a nice day!
Suppose that y varies directly with x and inversely with z, and y = 4 when x = 8 and z = 14. find z when x = 36 and y = 6. first, what is the equation of variation? y =
The value of z if x = 36 and y = 6 is 42
Direct and inverse variationSuppose that y varies directly with x and inversely with z, hence the required expression will be:
y = kx/z
If y = 4 when x = 8 and z = 14 then;
4 = k(8)/14
8k = 56
k = 7
To find z when x = 36 and y = 6, we will have:
6 = 7(36)/z
1 = 7(6)/z
z = 42
Hence the value of z if x = 36 and y = 6 is 42
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Answer:
Keep it simple. Answer:
y=kx/z
k=7
z=42
Step-by-step explanation:
Expand the expression to yield a trinomial of the form
ax² + bx + c.
(2x + 3)²
Step-by-step explanation:
(2x + 3)(2x + 3)
4x² + 6x + 6x + 9
4x² + 12x + 9
i dont now this question
Answer:
x = 1Step-by-step explanation:
3x + 2 = (2x + 13)/3
9x + 6 = 2x + 13
9x - 2x = 13 - 6
7x = 7
x = 7 : 7
x = 1
If 5^3b-1=5^b-3, what is the value of b?
Answer: -1
Step-by-step explanation:
[tex]5^{3b-1}=5^{b-3}\\\\3b-1=b-3\\\\2b-1=-3\\\\2b=-2\\\\b=\boxed{-1}[/tex]
Find the value of y in 4y + 2x = 8 and 2x + 5y = 14.
Answer:
y = 6
Step-by-step explanation:
4y + 2x = 8 → (1)
5y + 2x = 14 → (2)
subtracting (1) from (2) term by term will eliminate x
y + 0 = 6
y = 6
Over what interval is the function in this graph constant?
W
OA. -3≤x≤2
OB. -4sxs-2
OC. -2≤x≤3
OD. -5≤x≤5
The function in this graph is constant in the range of -4 ≤x≤-2 , Option B is the correct answer.
What is a function ?A function is a mathematical statement which identifies relation between independent and dependent variable.
A graph is given
The graph will be considered constant when the y value is constant for any value of x
The value of y is constant in the range of
-4 ≤x≤-2
Therefore Option B is the correct answer.
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Make x the subject of the formula. y=(x-4)2+6 p.s the two is square
[tex]~~~~~~~~y = (x-4)^2 +6\\\\\implies (x-4)^2 = y-6 \\\\\implies x -4 = \pm\sqrt{y-6}\\\\\implies x = \pm\sqrt{y-6} +4[/tex]
If 8^y = 16^y+w, what is the value of Y?
The median of the data shown on the graph is
Answer:
Median 39,000
Step-by-step explanation:
If im lookng at this right the numbers are:
20,000, 25,000, 35,000, 39,000, 41,000, 48,000, 53,000
The middle number is:
20,000, 25,000, 35,000, 39,000, 41,000, 48,000, 53,000
Tell me if im wrong
Select the best answer to the problem.
Which of the following has the numbers in the right order?
A. 2, 5, 9, 7
B. 3, 5, 9, 12
C. 5, 8, 6, 10
D. 6, 9, 14, 12
Tony is interested in the favorite activities of the students in his school. He surveys all the members of the school's chess club. Did Tony survey a random sample of all the students in the school? Explain.
what are the ways to determine if a relation is a function? select EACH correct answer
Answer:
the two selected are correct.
Step-by-step explanation:
A relation is a function only if it relates each element in its domain to only one element in the range. When you graph a function, a vertical line will intersect it at only one point. You can determine whether each element of the domain is paired with exactly one element of the range. For example, if given a graph, you could use the vertical line test; if a vertical line intersects the graph more than once, then the relation that the graph represents is not a function. The best way to find out whether an equation represents a function or not is by graphing the equation and then applying the vertical line test. Graph the two-variable equation on graph paper. For a straight line this means graphing two or more points on the line and connecting the dots.
Which expression is equivalent to 3(8 + 7)?
Answer:
3 • 15
Step-by-step explanation:
Add 8 and 7 to factor out the equation, creating an equivalent expression.
wright the follwing in decimlal form:7/17
Answer:
0.41
Step-by-step explanation:
to make a fraction into a decimal you just divide the numerator by the
denominator.
and the numerator is the part of a fraction that is above the line
denominator is at the bottom
so 7 / 17 = 0.41 that means
7/17 in decimal form is 0.41
Hope This Helped
Answer:
7/17 is equal to 41176470588...
Step-by-step explanation:
This is called a never ending decimal. Hope this helps! :)
Are the equations 18=3x-6+x and 18=4x-6 equivalent?
Answer:
Yes, they are equivalent
Step-by-step explanation:
18 = 3x - 6 + x
+6 +6
24 = 3x + x
24 = 4x
24/4 = 4x/4
6 = x
18 = 4x - 6
+6 +6
24 = 4x
24/4 = 4x/4
6 = x
Both equations are equal to x = 6, therefore they are equivalent
Answer:
Yes
Step-by-step explanation:
18 = 3x - 6 + x
x = 1x
Combine like terms
3x + 1x = 4x
18 = 4x - 6 and 18 = 4x - 6
They are equivalent.
Quincy's retirement party will cost $30 if he invites 10 guests. If there are 16 guests, how much will Quincy's retirement party cost? Solve using unit rates.
Answer:
$48
30/10 is equal to 3/1, 16 x 3 equals to 48.
Answer:$48
Step-by-step explanation:
$30/10p = $3 per person
3x6=18
18+30=48
Suppose a bag contains 5 blocks. 3 red, 1 yellow and 1 green. what is the probability of selecting a red block?
answer is 3/5
since there are 3 red, there is a 3 blocks out of 5 blocks chance that a red block will chosen
A fish tank is three-fourths full.
One-third of the water leaks out.
How full is the fish tank now?
Answer: [tex]\frac{5}{12}[/tex]
Step-by-step explanation:
We will subtract the amount of water that leaked out from the amount of water originally in the fish tank.
[tex]\displaystyle \frac{3}{4} - \frac{1}{3} =\frac{3*3}{4*3} -\frac{1*4}{3*4} =\frac{9}{12} -\frac{4}{12}=\frac{5}{12}[/tex]
The fish tank is [tex]\frac{5}{12}[/tex] of the way full.
A monument in the shape of a square pyramid was built in a park.
The four lateral faces of the pyramid will be painted. The cost and coverage information for regular paint and metallic paint are shown in the table. Both paint types will be used on the monument.
PAINT TYPE COST(dollars per gallon) GALLONS(sq ft per gallon)
regular $35 200
metallic $100 80
The regular paint will require 2 coats, and the metallic paint will require 1 coat. Both paint types are sold only by the gallon. Based on the table, what is the least amount of money that should be budgeted to paint the monument?
The least amount of money that should be budgeted to paint the monument is $1692.
Least amount of money that should be budgetedFirst step
Using Pythagorean theorem to find the surface area
Since POR is a right triangle
Hence:
PO=20
BR=12
OR=12
PR=√20²+12²
PR=400+144
PR=544
Area of PBC=1/2×24×√544
Area of PBC=12√544
Lateral surface area=4×12√544
Lateral surface area=48√544
Lateral surface area=1119.54²ft
Second step
Since regular paint is 2 coats 200 sq. ft per gallon
Hence:
Number of gallons=1119.54×2/200
Number of gallons= 11.2 gallons
11.2×35= 392
1119.54/80=13 gallons
13×100 =1300
Last step
Least amount=392+1300
Least amount= $1692
Therefore the least amount of money that should be budgeted to paint the monument is $1692.
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Can the sides of a triangle have lengths 13, 5, and 16?
Answer:
Yes
Step-by-step explanation:
13 + 5 > 16
16 - 3 < 5
Yes :D