Answer:
Center: 254.5
Area: 254.5
Explanation:
Equation: x² + (y + 3)² = 81Circle formula:
(x - h)² + (y - k)² = r²where (h, k) is the center points, r is radius
Rewriting the equation:
(x -0) ² + (y - (-3))² = 9²Identify the following:
(h, k) = (0, -3), radius: 9Area of Circle:
π(radius)² = π(9)² = 81π = 254.46 = 254.5General equation
(x-h)²+(y-k)²=r²So
(x-0)²+(y+3)²=81(x-0)²+(y+3)=9²Radius=9
Center=(0,-3)Area
πr²81π units²Rachael mixes 750 mL of mango juice 650 mL of orange juice and 325 mL pineapple juice she add sparkling water to fill the punch bowl that has a capacity of 2.5 L how many liters of juice does Rachel use show all work
Answer:
A. 1.725 L
B. 0.0775 L or 775 mL
Step-by-step explanation:
Part A
↓ Determine the liters of juice Rachel used ↓
750 + 650 +325 = 1,725
Rachel used 1,725 mL of juice. Convert the given mililiters to liters.
[tex]1725 \: ml \: \times \frac{1liter}{1000 \: ml} = 1.725 \: liters[/tex]
→ Rachel used 1.725 L of juice
Part B.
Determine the amount of sparkling water added to the punch bowl.
2.5 - 1.725 = 0.775 L
0.775 L was added tot he punch bowl. Convert liters to milliliters. ↓
[tex]0.775 \: \times \frac{1000 \: ml}{1 \: liters} = 775 \: ml[/tex]
Therefore, the answer is:
1.725 L & 775 mL
If f(x) =1/x and g(x) = x - 2 what is f(g(x)) when X = 1
Answer:
f(g(x)) = -1
Step-by-step explanation:
[tex]f(x) = \frac{1}{x} \\ \\ g(x) = x - 2 \\ \\ \implies \: f(g(x)) = \frac{1}{x - 2} \\ \\ \implies \: f(g(1)) = \frac{1}{1 - 2} \\ \\ \implies \: f(g(1)) = \frac{1}{ - 1} \\ \\ \implies \: f(g(1)) = - 1[/tex]
does 4x^2=0 have 2 solutions
Answer:
it has only one solution x = 0
Step-by-step explanation:
4x² = 0
⇔ x² = 0 (4 > 0)
⇔ x = 0 (the formula: x² = 0 ⇔ x = 0)
3. Given the geometric series 300 +360+432 +518.4+, what is the sum of the first 10 terms?
The sum of the first 10 terms of the given geometric series 300 +360+432 +518.4+..... is 7787.60.
What is the sum of terms of a geometric sequence?Let's suppose its initial term is a , the multiplication factor is r
and let it has total n terms, then, its sum is given as:
[tex]S_n = \dfrac{a(r^n-1)}{r-1}[/tex]
(sum till nth term)
For the given geometric series, the common ratio is,
r = (360/300) = 1.2
Also, the first term of the series is 300. Therefore, the sum of the first ten terms of the series are:
Sum = a(rⁿ-1)/(r-1) = 300(1.2¹⁰-1)/(1.2-1) = 300(5.1917)/0.2 = 7787.60
Hence, the sum of the first 10 terms of the given geometric series is 7787.60.
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Yahaya, a Tailor started sewing an agabada dress at 9:45am. he completed the dress at 12:30pm. How long did he take to sew the dress
Which of the following functions has an inverse that is not a function?
Answer:
[tex]f(x) = x(x - 1)[/tex]
Step-by-step explanation:
The inverse of a quadratic function is not a function.
Chad is making trail mix for his next hiking club meeting. He mixes 2 pounds of peanuts, 2 pounds of raisins, and 1 pound of chocolate chips. His little sister asks him for a snack, so he gives her 5 ounces of the trail mix. Then, he portions out the rest for his meeting. If Chad splits the remaining trail mix evenly among 25 snack bags, how many ounces of trail mix will each bag have?
Answer:
3 ounces
Step-by-step explanation:
1 pound = 16 ounces
2(16) + 2(16) = 16 = 80 ounces of train mix - 5 from sister = 75 remaining
75 ounces of trail mix / 25 snack bags = 3 ounces of mix in each bag
In a right triangle, a and b are the lengths of the legs and c is the length of the hypotenuse. If a=3 inches and b=1 inch, what is c? If necessary, round to the nearest tenth.
We are given with
a = 3 inches
b = 1 inch
and c = ?
So as it is a right triangle and a and b are for legs
also c is for hypotenuse
=> We can apply Pythagoras theorem
[tex]\:\bf\boxed{Pythagoras\: Theorem\: =>\: c \:= \:\sqrt{a²\: +\:b²}}[/tex]
=> [tex]\:\mathtt{\:c \:= \:\sqrt{(3)²\: +\:(1)²}}[/tex]
=> [tex]\:\mathtt{\: c \:= \:\sqrt{9\: +\:1}}[/tex]
=> [tex]\:\mathtt{\: c \:= \:\sqrt{10}}[/tex]
=> [tex]\:\mathtt{\: c \:= \:3.16}[/tex]
Required nearest tenth number for hypotenuse = 3.2 inches
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A circle with a radius of 9 millimeters.
Answer:
You didnt give us a question to answer, just a statement.
Step-by-step explanation:
If x=5 and y=7, evaluate the following expression:
20−(3y−4x)
Answer:
[tex]\huge\boxed{\bf\:19}[/tex]
Step-by-step explanation:
Given,
x = 5y = 7Now, the expression is: [tex]20 - (3y - 4x)[/tex].
To solve this question we just need to substitute the values of x & y in the given expression. Then,
[tex]20 - (3y - 4x)\\= 20 - (3(7) - 4(5))\\= 20 - (21 - 20)\\= 20 - 1\\= \boxed{\bf\:19}[/tex]
[tex]\rule{150pt}{2pt}[/tex]
Find the value of x in the triangle shown below.
=
२०
14
14
50°
18
Answer:
x = 87
Step-by-step explanation:
37 + 56 = 93
triangles always equal to 180
180 - 93 = 87
2x-y=-2 & x-2y=-16
It's due in an hour and I'm almost done :)
What are the surface areas of these two prisms
Find the volume and surface area of the trapezoidal prism.
Answer:
sa =45
vol = 6000.
I hope it helps. and if you can, give me the brainlist
First round 0.676 to the nearest tenth.
Answer:
0.7
Step-by-step explanation:
Since 7 is above 5, you round 0.676 to 0.7
Answer: 0.7
Step-by-step explanation:
The nearest tenth is one decimal space after the dot. ex: 0.1234
Therefore, rounding 0.676, the 7 is ≥ 5, therefore we round the 6 up one number. This means the 0.6 becomes 0.7.
fred buys a shipment of fruit that consists of only apples and oranges. for every 3 apples, there are 2 oranges. if there are 5 dozen pieces of fruit total, how many are oranges?
Answer:
24
Step-by-step explanation: 5 dozens = 60 so 3 +2=5 . 60 / 5 = 12 12 x 2 = 24
Please i really need help, i really need this i will give a brainliest to the people that answer correctly
Answer:
Graph B
Step-by-step explanation:
Replace y with x and vice versa.
y=1/2x+2 becomes x=1/2y+2
Then solve for y. Subtract 2 from both sides, then multiply by 2 which results in:
y=2x-4
Graph B is the one that has a y-intercept at -4 and a rise/run of 2.
What is area of the irregular figure below? 6in 4in 12in
Composite figures can be subdivided into standard shapes. The area of the considered composite shape is 112 sq. cm
How to calculate the area of a composite figure?Area of some standard shapes like circle, triangle, parallelogram, rectangle, trapezoid, etc is already derived.
When some shape comes which isn't standard figure, then we find its area by slicing it (virtually, like by drawing lines) in standard shapes. Then we calculate those composing shapes' area and sum them all.
Thus, we have:
[tex]\text{Area of composite figure} = \sum (\text{Area of composing figures})[/tex]
That ∑ sign shows "sum"
The missing image is attached below.
We can split this composite figure in two parts by extending the line CG to meed AE on the point D. It makes a square (top) and a rectangle(bottom) as shown in the right sided image.
Area of the figure = Area of the top square + Area of the bottom rectangle.
Finding area of the top figure ABCD:Length of AE = |AE| = 16 cm
|AE| = |AD| + |DE| = 16
|DE| = |GF| = 8 cm
Thus, we get:
|AD| + 8 = 16
|AD| = 8 cm
Assuming the sides AD and BC are parallel, and so as the pair of sides AC and BD, and adjacent sides are perpendicular, its a rectangle with length = width = 8 cm, so its a square of side length 8 inches.
Area of square ABCD of side length 8 inches = [tex]\rm side^2 = 8^2 = 16 \: cm^2[/tex]
Finding area of the bottom figure DEFG:Assuming opposite sides of DEFG are parallel to each other and adjacent ones are perpendicular, we get:
|DE| = |GF| = 8 cm
|EF| = |DG| = |DC| + |CG| = |AB| + |CG| = 8+8 = 16 inches
Thus, its a rectagle with dimensions of 8 cm by 16 cm.
Thus, its area is: [tex]\rm Length \times width = 8 \times 12 = 96 \: \rm cm^2[/tex]
Thus, area of the composite figure = 16 + 96 = 112 sq. cm.
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Can someone please help
Answer:
48
Step-by-step explanation:
The sum of the measures of the angles of a triangle is 180°.
We know one angle measures 42°.
Another angle is a right angle, so it measures 90°.
Only the angle labeled x is unknown.
42 + 90 + x = 180
132 + x = 180
x = 48
Answer: 48
pls help i need a good grade pls
Answer:
[tex]4*\frac{1}{6}[/tex]
Step-by-step explanation:
The number lines end points are 0 and 1 so the whole number line has a value of 1.
The number line is also broken up into 6 sections.
Then we have the pink rectangles that cover up each section. There are 4 of them and each cover 1/6 of the number line
So the expression that would represent the model would be 4 x 1/6
Answer:
4 * 1/6
Step-by-step explanation:
So to begin, I would find out what all the answers are equal to.
4 * 1/8 = 4/8 = 1/2
4 * 1/4 = 4/4 = 1
4 * 1/6 = 4/6 = 2/3
4 * 1/3 = 4/3
Next I would rule out all the answers bigger or equal to one, so 4 * 1/4 and 4 * 1/3.
Last, this fraction splits one into six parts, and 4 parts are highlighted. 4/6 is equal to 4/6. Your answer is 4 * 1/6
The graph of F(x), shown below, has the same shape as the graph of
G(x) = x4, but it is shifted to the right 3 units. What is its equation?
A. F(x) = - 3
O B. F(x) = (x-3)4
O C. F(x) = (x+3)4
O D. Fx) = 44+ 3
Answer: F(x) = 4x - 16
Step-by-step explanation: G(x) = 4x
if F(x) is the graph G(x) shifted over to the right by 4 then
F(x) = G(x-4) = 4(x-4) = 4x - 16
The general equation is f(x - amount_shifted)
The equation of the graph of the function F(x) is F(x) = (x - 3)⁴.
What is Translation of Functions?Translation of functions is defined as the when each point in the original graph is moved by a fixed units in the same direction.
There are horizontal translation and vertical translation of functions.
Given a function F(x) and G(x).
Given that,
F(x) has the same shape as the graph of G(x) = x⁴.
The difference is that F(x) is shifted to the right 3 units.
A function G(x) when shifted right to k units becomes G(x - k).
So the function F(x) is,
F(x) = G(x - 3)
= (x - 3)⁴
Hence the correct option is B.
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There are 12 servings in a box of cereal. Each day, Ryan eats 2 servings of cereal. What fraction of the full box of cereal has Ryan eaten after 5 days?
select the option for ? 3, 5, 12, 55, 648, ?
Answer:
What option are you talking about for, is it for your quiz or for your classwork
can anyone help without using reciprocal?
Answer:
x = -5/3
Step-by-step explanation:
-4 = [tex] \dfrac{20}{3}x[/tex]
-4×3 = 20 x
-12 = 20 x
[tex]x = \dfrac{-5}{3}[/tex]
Margo borrows $200, agreeing to pay it back with 8% annual interest after 7 months. How much interest will she pay?
Answer:
$9.33
Step-by-step explanation:
Interest = Principal × Rate × Time by 100
Therefore, I = 200×8×7/12 by 100
=16×7/12
=9.33
The area of a rectangle is 99 ft2, and the length of the rectangle is 7 ft more than twice the width. Find the dimensions of the rectangle.
Length: ft
5 ?
Width:
Answer:
[tex]Width = 11/2ft, Length = 18ft[/tex]
Step-by-step explanation:
I'm not sure this might be right, hope this is helpful!
Eric has 9 large pitchers for a sport drink at the soccer game. If he pours 4/7 of the sports drink into each pitcher will the total amount he lours into those pitchers be more or less than9 gallons?
Answer:
more because it is 9 pitchers and 4/7 of energy drink in each
The sum of two times a number and seven is five times the difference of a number and six. Solve for the variable then Round your answer to the nearest hundredths.
Answer:
4.33
Step-by-step explanation:
2N + 7 = 5N - 63N = 13N = 13/3N = 4.33hi! how do i do this?
Answer:
p = 2
Step-by-step explanation:
A rational function has a vertical asymptote where the denominator is zero.
__
Your function will have a denominator that is zero when ...
x -p = 0 ⇒ x = p
We are told there is a vertical asymptote at x = 2. That means ...
p = 2
Can someone please help me with 4, 5, 6, 7, 8