Step-by-step explanation:
The label of the soup is the lateral area of the cylinder.
The formula for a cylinder is LA = ph.
The perimeter of a cylinder is the circumference of a circle, 2 times pi times r.
then multiply that answer by the height of 6.
The answer will be in square inches
Joel borrowed $18,000 for 6 years at simple interest to purchase a vehicle. If Joel repaid a total of $20,953.80, at what rate did he borrow the money?
Enter the percent with the percent symbol. If the percent is not a whole value, enter it as a decimal where the last digit is not zero and there is a zero before the decimal point for values less than 1. For example, if the answer is .35%, 0.35% should be entered. Round the percent to the nearest thousandth of a percent if needed.
[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$20953.80\\ P=\textit{original amount deposited}\dotfill & \$18000\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\dotfill &6 \end{cases} \\\\\\ 20953.80=18000[1+(\frac{r}{100})(6)]\implies \cfrac{20953.80}{18000}=1+\cfrac{6r}{100}[/tex]
[tex]\cfrac{20953.80}{18000}=\cfrac{100+6r}{100}\implies \cfrac{2095380}{18000}=100+6r\implies \cfrac{11641}{100}=100+6r \\\\\\ \cfrac{11641}{100}-100=6r\implies \cfrac{1641}{100}=6r\implies \cfrac{1641}{600}=r \\\\\\ \cfrac{547}{200}=r\implies \stackrel{\%}{2.735} = r[/tex]
What do you mean by logarithm???
sam..
Answer:
a quantity representing the power to which a fixed number (the base) must be raised to produce a given number.
Step-by-step explanation:
hope it helps you<3Hey ojaswii!
Answer:
Logarithm is an exponent or index.
Step-by-step explanation:
John napier invented Logarithm.There're 3 types of logs, however, there're 7 laws of logs.Amazing right?It is used for graphs also.Finally,The Formula...[tex] \boxed{\rm \: log_{l}(l {}^{a} ) = a}[/tex]
Note: This is just a random formula
I expect this helps :)
[tex]\quad{\qquad\qquad\qquad\qquad{\bf ...}}[/tex]
What is the volume of a cylinder with a height of 2.9 ft and a base with a radius of 4.5 ft, to the nearest tenth of a cubic foot?
Step-by-step explanation:
could not find the formula ?
the volume is a cylinder is
ground area × height
the ground area is a circle, so we get
pi×r²×h
where r is the radius, h is the height.
therefore
pi×4.5²×2.9 = 184.4900286... ft³ ≈ 184.5 ft³
PLEASE HELP I ILL MARK BRAINLIEST
Answer: 90 dergrees
Step-by-step explanation: 90 dergrees
A certain brand of laundry detergent is manufactured for $4.40 and then marked up 25% by the local store before selling. The store offers a 30% discount with the purchase of three or more bottles of the detergent. Showing all work, determine the total cost, before tax, of three bottles of detergent. (10 points)
Using proportions, it is found that the total cost of three bottles of detergent is of $11.55.
What is a proportion?A proportion is a fraction of a total amount.
A certain brand of laundry detergent is manufactured for $4.40 and then marked up 25% by the local store before selling, hence the price of each bottle is given by:
P = 4.40 x 1.25 = $5.50.
The store offers a 30% discount with the purchase of three or more bottles of the detergent, hence the total cost is given by:
T = (3 x 5.50) x 0.7 = $11.55.
More can be learned about proportions at https://brainly.com/question/24372153
I need help trying to solve for MNO it’s for our right triangle trigonometry unit.
Answer:
Angle O is 64. m is 16.7 rounded to the nearest tenths place. n is 22.4 to the nearest tenths place.
Step-by-step explanation:
Angle O- 180-(26+90)
M- COS(26)=n/15
N- COS(26)=n/15^2+15^2=c^2
pleaseee help (questions in photo) will mark brainliest
Answer:
270
Step-by-step explanation:
90, 180, 270, and 360 are standard position because they hold a part of a 90 angle
Answer:
Step-by-step explanation:
Standard position means that you will move clockwise about the origin to create the angle.
Carly and Carter are comparing bedrooms. They are each getting new carpet and are trying to figure out which room will be the most expensive to cover with carpet. (The rooms are both rectangular) Carly's bedroom is 15.3 ft. long and 8.7 ft. wide. Carter's bedroom is 14.4 ft. long and 9.6 ft. wide. Which bedroom will be the most expensive to cover with carpet? Explain your steps for figuring out the area of the floor for each bedroom and determining your answer. Make sure to Show your math steps as well. ~ 100 POINTS AND ILL GIVE YOU BRAINLIEST IF YOU ANSWER CORRECTLY AND 5 SENTENCES NEEDED
If Carly's bedroom is 15.3ft long and 8.7 ft long then it is necessary to multiply them because you need to find the area of the room so 15.3*8.7= 133.11. We have to do the same for Carter's room so we multiply 14.4 and 9.6 to find the area of the room which is 138.24.
Now that we have both the areas we can compare which room is bigger. Carly's room is 133.11 ft in total and Carter's room is 138.24 ft in total. So it is clear that Carter's room is going to be more expensive to cover with carpet since Carter's room is bigger than Carly's.
Carly:-
L=15.3B=8.7Area:-
LB15.3(8.7)133.11ft^2#Carter
L=14.4B=9.6Area:-
14.4(9.6)138.24ft^2Carter's room is expensive
What are the gradients and y intercepts of the following equation
y= x/4 + 3
Answer:
gradient: 1/4; y-intercept: 3
Step-by-step explanation:
In math, 'gradient' is another word for slope.
Here we have y = (1/4)x + 3. The coefficient of x is the slope or gradient: 1/4. The y - intercept is 3: (0, 3).
Answer:
Step-by-step explanation:
The equation is in y = mx + b form.
Here, m is the slope or gradient and b is the y-intercept.
[tex]y =\dfrac{1}{4}x+3\\\\\\Gradient =\dfrac{1}{4}[/tex]
y-intercept = 3
If f(x)= 2x^3-12x^2+20x-16 and f(4)= 0, then find all the zeros of f(x) algebraically
Answer:
x = 4 is the only real zeroStep-by-step explanation:
Find the zero's of f(x)
2x³ - 12x² + 20x - 16 = 0x³ - 6x² + 10x - 8 = 0x³ - 4x² - 2x² + 8x + 2x - 8 = 0x²(x - 4) - 2x(x - 4) + 2(x - 4) = 0(x - 4)(x² - 2x + 2) = 0(x - 4)(x² - 2x + 1 + 1) = 0(x - 4)[(x - 1)² + 1] = 0x - 4 = 0 ⇒ x = 4, we already know this(x - 1)² + 1 = 0 ⇒ (x - 1)² = - 1, no real solution as the square is never negativeAnswer:
[tex]x=4, \quad x=1+i,\quad x=1-i[/tex]
(one real zero and 2 complex zeros)
Step-by-step explanation:
Given polynomial:
[tex]f(x)= 2x^3-12x^2+20x-16[/tex]
According to the Factor Theorem, if f(4) = 0 then (x - 4) is a factor of the given polynomial.
[tex]\implies f(x)=(x-4)(ax^2+bx+c)[/tex]
Expand the brackets:
[tex]\implies f(x)=ax^3+bx^2+cx-4ax^2-4bx-4c[/tex]
[tex]\implies f(x)=ax^3+(b-4a)x^2+(c-4b)x-4c[/tex]
Compare coefficients with the given polynomial:
[tex]\implies a=2[/tex]
[tex]\implies -4c=-16 \implies c=4[/tex]
[tex]\implies (b-4a)=-12 \implies b-8=-12 \implies b=-4[/tex]
Substitute the found values of a, b and c:
[tex]\implies f(x)=(x-4)(2x^2-4x+4)[/tex]
To find the zeros of f(x), set the function to zero and solve for x:
[tex]\implies (x-4)(2x^2-4x+4)=0[/tex]
[tex]\textsf{Therefore},\: (x - 4) = 0\: \textsf{ and }\: (2x^2-4x+4)=0[/tex]
[tex]\textsf{To solve}\: (2x^2-4x+4)=0\: \textsf{ use the quadratic formula}[/tex]
Quadratic Formula
[tex]x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when }\:ax^2+bx+c=0[/tex]
Therefore:
[tex]\implies x=\dfrac{-(-4) \pm \sqrt{(-4)^2-4(2)(4)} }{2(2)}[/tex]
[tex]\implies x=\dfrac{4 \pm \sqrt{-16}}{4}[/tex]
[tex]\implies x=\dfrac{4 \pm \sqrt{16 \cdot -1}}{4}[/tex]
[tex]\implies x=\dfrac{4 \pm \sqrt{16}\sqrt{-1}}{4}[/tex]
[tex]\implies x=\dfrac{4 \pm 4i}{4}[/tex]
[tex]\implies x=1 \pm i[/tex]
Therefore, the zeros of the function are:
[tex]x=4, \quad x=1+i,\quad x=1-i[/tex]
(one real zero and 2 complex zeros)
I need help please thanks
Answer:
5[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
Glass: [tex]\frac{2}{3}[/tex] × 10
Hours: 1[tex]\frac{1}{4}[/tex]
1) Find the real value. He drinks [tex]\frac{20}{3}[/tex] glasses of water in 1[tex]\frac{1}{4}[/tex] hours. 1[tex]\frac{1}{4}[/tex] × [tex]60[/tex] gives us the minutes because 1 hour is 60 minutes.
Glass : Minutes:
[tex]\frac{20}{3}[/tex] : [tex]75[/tex]
2) Use ratio to find the value of one. 60 ÷ 75 gives us 0.8. Multiply [tex]\frac{20}{3}[/tex] by 0.8 or [tex]\frac{8}{10}[/tex].
Glass : Minutes
[tex]\frac{16}{3}[/tex] : 60
3) Convert [tex]\frac{16}{3}[/tex] into a mixed number.
= 5[tex]\frac{1}{3}[/tex]
Find the value of f(5) for the function.
F(x)=6+3x
Answer:
21
Explanation:
To solve this problem, you substitute in the 5 for the x creating this equation: f(5)=6+3(5).
f(5)=15+6
f(5)=21
what is 3 × 2/7 in lowest terms
Answer:
6/7
Step-by-step explanation:
3x2/7 in the same as 3/1x2/7, which is 6/7
(simply multiply the denominator and numerator of the fraction)
Answer: hii <3
Exact Form:
6/7
Decimal Form:
0.857142
Step-by-step explanation:
Simplify the expression.
Hopefully this helps you
- Matthew
What is ED?
Enter your answer in the box.
units
Answer:
x=4
Step-by-step explanation:
There
Drew has a coin: one side shows heads and the other side shows tails. he also has a six-sided number cube with a number, 1 through 6, on each side. he flips the coin, rolls the number cube, and records his results. what is the probability, written as a fraction, that the coin shows tails and he rolls a 5?
Using it's concept, it is found that the probability that the coin shows tails and he rolls a 5 is of [tex]\frac{1}{12}[/tex].
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, the coin has two outcomes, one of which is tails, while the number cube has six outcomes, one of which is five. Since the coin and the number cube are independent, we just multiply the probabilities, hence:
[tex]p = \frac{1}{2} \times \frac{1}{6} = \frac{1}{12}[/tex]
The probability that the coin shows tails and he rolls a 5 is of [tex]\frac{1}{12}[/tex].
More can be learned about probabilities at https://brainly.com/question/14398287
Expand & simplify
4
(
2
g
+
3
)
−
5
(
4
g
−
4
)
Answer:
-12g+32
Simplify and combine like terms.
Solve this Distributed property 2(3x+5)
Answer: x = -.6
Step-by-step explanation:
2(3x+5) = 6x + 10
10 = -6x
x = -.6
In a sequence of numbers, a5 = 30, a6 = 34, a7 = 38, a8 = 42, and a9 = 46.
Which equation can be used to find the nth term of the sequence?
A.) a,n = 4n + 10
B.) a,n = 4n + 30
C.) a,n = 6n + 30
D.) a,n = 6n
Answer:
A.)
Step-by-step explanation:
Try each choice to see which one works.
A.)
a_n = 4n + 10
a_5 = 4(5) + 10 = 30
a_6 = 4(6) + 10 = 34
a_7 = 4(7) + 10 = 38
Answer: A.)
Find the area of the composite figure.
A: 96.75 units2
B: 112.5 units2
C: 139.5 units2
D: 192
The area of the composite figure from the image attached is 112.5 units²
What is the area of a composite figure?The area of a composite figure refers to the sum total of all the areas of the shapes in that composite figure. This can be done by first identifying the shapes in that composite figure, then finding each area, followed by the addition of all the areas to determine the area of the composite figure.
From the given figure; we can break it down into:
A parallelogramA rectangleA triangleThe area of a parallelogram = b × h
where;
b & h refers to the length of the two opposite diagonal lines.The area of a parallelogram = 9 × 6
The area of a parallelogram = 54 units²
The area of a rectangle = Length × breadth
The area of a rectangle = (9 × 3) units²
The area of a rectangle = 27 units²
The area of the triangle [tex]\mathbf{=\dfrac{1}{2}\times b \times h}[/tex]
where;
Base = b Height = hThe area of the triangle [tex]\mathbf{=\dfrac{1}{2}\times b \times h}[/tex]
The area of the triangle [tex]\mathbf{=\dfrac{1}{2}\times 9 \times 7}[/tex]
The area of the triangle [tex]\mathbf{= 31.5 units^2}[/tex]
Therefore, the area of the composite figure is:
= 54 + 27 + 31.5
= 112.5 units²
Learn more about composite figures here:
https://brainly.com/question/15981553
What is the area of this figure?
22 mi
8 mi
10 mi
5 mi
9 mi
11 mi
4 mi
6 mi
Answer:
318 mi²
Explanation:
area of triangle = 1/2 * base * height = 1/2 * 22 * (10+6+3) = 209 mi²area of right bottom rectangle = Length * Width = 11 * 5 = 55 mi²bottom upright rectangle = Length * Width = 9 * 6 = 54 mi²total area = 209 mi² + 55 mi² + 54 mi² = 318 mi²Area of Vertical rectangle:-
9(6)54mi²Area of horizontal rectangle
11(5)55mi²Area of triangle
1/2(22)(10+6+3)11(19)209mi²Total:-
209+55+54318mi²WILL GIVE BRAINLIEST
The Coriolis Effect shows us that when moving from the equator towards the poles, the air is __________.
Question 1 options:
moving faster than the ground below it.
standing still.
moving at the same speed.
moving slower than the ground below it.
Answer:
answer A
Step-by-step explanation:
Option C is correct, the Coriolis Effect shows us that when moving from the equator towards the poles, the air is moving at the same speed.
What is Speed?Speed is the time rate at which an object is moving along a path,
The Coriolis Effect causes moving objects, including air, to be deflected to the right in the Northern Hemisphere and to the left in the Southern Hemisphere.
As air moves from the equator towards the poles, it experiences a change in latitude, which causes it to be deflected.
This deflection results in the formation of high-pressure and low pressure systems that move weather patterns around the globe.
The speed of the air is affected by a number of factors, including temperature, pressure, and the Coriolis Effect.
However, the Coriolis Effect does not directly affect the speed of the air as it moves from the equator towards the poles.
Therefore, the Coriolis Effect shows us that when moving from the equator towards the poles, the air is moving at the same speed.
To learn more on Speed click:
https://brainly.com/question/28224010
#SPJ2
What is the area of this figure?
Answer:
through lengthy mafs, your answer should be 307 mi (wrong somehow)
Step-by-step explanation:
if you want an explanation, please, dont be afraid to comment ;)
(to other people who look this up the answer is actually 318 i dont know, but i got it wrong
Suppose that you have a square pyramid like the one pictured. Which plane section will produce a trapezoid? Question 17 options: A) A cross section cut parallel with the bottom B) A cut parallel to the vertical axis, but off the vertical axis C) A cut parallel to the vertical axis, directly through the vertical axis D) Cutting off one of the bottom corners
Answer:
B
Step-by-step explanation:
Cut vertical but off vertcal axis.
A will produce a square and C and D will produce triangles.
For each pair of points, find the slope of the line that passes through the points.
(5, 4) and (0:1)
(3,7) and (-2,2)
Use the slope formula:-
[tex]\displaystyle\frac{y2-y1}{x2-x1}[/tex]
[tex]\displaystyle\frac{1-4}{0-5}=\frac{-3}{-5} =\frac{3}{5}[/tex]
Second pair:-
[tex]\displaystyle\frac{2-7}{-2-3} =\frac{-5}{-5} =1[/tex]
notes:-If we multiply/divide a negative by a negative, we get a positive. :)
Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)
Can someone help with these questions?
Answer:
Step-by-step explanation:
#1. 5 and 51/2 since it has the greatest amount of dots and #2. 5.5, 6.0, and 8.0 since it has the least amount of dots
Answer:
1. 5 and 5 1/2
2. 5.5, 6.0 and 8.0
Step-by-step explanation:
1. Both shoe sizes had the most number of dots.
2. All three pearl sizes have the least number of dots.
How many vertices, edges, and faces are in the polyhedron below? List them.
Based on observation, in this polyhedron, there are a total of six vertices, nine edges, and five faces.
What are vertices?In geometry, this refers to the point where two line meet. In this case, the vertices are A, B, C, D, E, F for a total of six vertices.
What are the edges?This term refers to line segments, for example the line between B and C is an edge. Based on this, there are nine edges in this shape.
What are faces?This refers to flat surfaces; in this, case the total of flat surfaces are five.
Learn more about geometry in: https://brainly.com/question/16836055
hegarty maths angles
Given that A, O & B lie on a straight line segment, evaluate acute ∠COD.
Check the picture below.
A cafe offers 3 sides with the lunch special. A customer can choose from rice, green beans, carrots, salad, and corn. How many different combinations are possible?
6
5
10
8
Answer:
10
Step-by-step explanation:
5! / (3! 2!)
[tex] \frac{5 \times 4 \times 3}{3 \times 2 \times 1} = 10[/tex]
Perry pays $340 per month to lease her car. How much will she pay to lease her car for two years?
$340 × 24 (12 months in one year)
= $8160
5
Select ALL the correct answers.
Observe the expression below and select the true statement(s).
41 + 9 – y(61 + 7)
The x in the first term is an exponent.
3
The "9" in the second term is a constant.
The "y in the third term is a factor.
The "6" in the third term is a coefficient.
The "4" in the first term is a constant.
