Answer:
using of fractional exponents give us the value 6(x^2y^3)^1/2 or 6xy^3/2.
A company sells confetti in boxes in the shape of a triangular
pyramid. Each box contains a volume of 240 cubic centimeters of confetti, If
the height of the box is 15 centimeters, which of the following
could be the area of the base of the box?
Volume Formula:
V number:
h of the 3-D shape number:
Answer:
who is William afton family?
2) Which situation ONLY describes a purchase made with a credit card?
A) Natalie purchased a new computer with her card. The money came straight out of her checking account
B) Jackie loves using her card to make purchases because it is convenient to use, and she doesn't have to carry cash
David paid for dinner with his card. Each time he uses this card his checking account decreases by the purchase amount
D) Maggie took her mother to the movies and paid for it with her card. This charge appeared on a bill she received two weeks later,
Answer:
D is the correct answer. This charged appeared on a bill
which expression is equivalent to
Answer:
Option D
Step-by-step explanation:
[tex]6\dfrac{3}{5}*\dfrac{5}{8}=\dfrac{5}{8}*6\dfrac{3}{5}[/tex]
Poperty : Commutative property of multiplication.
When two numberes are multiplied, changing the order of numbers will not change the result.
=
15. Given a rectangle ABCD with AD 12. The diagonals AC and BD intersect at point O such that
mZDOC = 30°. Find the area of the rectangle.
Answer:
To find the area, we need to find the side length AB (and DC).
The easiest way to approach this is to draw a sketch with all the given information (see attached).
As point O is the center point of the rectangle, we can draw a horizontal line from point O to the center point of BC (point M on the diagram) and create a right triangle. We can then use the Sine rule to find the shortest leg of the triangle (marked as x on the diagram). This will be half of the side length AB, and so to find the side length, simply multiply it by 2.
To find the missing angles of the right triangle:
m∠COM = (180° - 30°) ÷ 2 = 75°
m∠OCM = 180° - 90° - m∠COM = 90° - 75° = 15°
Sine rule
[tex]\sf \dfrac{a}{sinA}=\dfrac{b}{sinB}=\dfrac{c}{sinB}[/tex]
(where A, B and C are the angles and a, b and c are the sides opposite the angles)
[tex]\implies \dfrac{x}{\sin(15)}=\dfrac{6}{\sin(75)}[/tex]
[tex]\implies x=\sin(15)\cdot \dfrac{6}{\sin(75)}[/tex]
[tex]\implies x=12-6\sqrt{3}[/tex]
As AB = [tex]2x[/tex]
[tex]\begin{aligned} \implies AB & =2x\\ & =2(12-6\sqrt{3})\\ & =24-12\sqrt{3}\end{aligned}[/tex]
Now we have both side lengths of the rectangle, we can easily calculate the area.
Area of a rectangle = width × length
= (24 - 12√3) × 12
= 288 - 144√3
= 38.5846837...
= 38.585 units² (nearest thousandth)
Compound Shapes
Find the area of each figure, round your answer to one decimal place if necessary
12 ya
30
1)
3)
2)
3
12 yd
18
12 ya
3
20 yd
24
Area
Area
Area
4)
5)
6)
17 cm
4 cm
7.5 m
8 orn
12 cm
10 m
5 m
Area:
Area:
Area:
9)
7)
8)
35 m
3.5 m
20 in
TO in
18 in
21 m
21 in
18 in
20 in
3.5 m
21 m
Area:
Area:
Area:
Applying the formula for areas of rectangle, triangle, & circle, area of each figure is:
1. 27
2. 537.9
3. 384
4. 168.5
5. 96.3
6. 73.1
7. 357.1
8. 1,029
9. 744
What is the Area of a Circle?Area of a circle = πr², where r is its radius.
What is the Area of a Rectangle?Area of a rectangle = length × width
What is the Area of a Triangle?Where b is the height and b is the base length, area of triangle = 1/2bh.
What is the Area of a Square?Area = s², where s is the side length.
1. Area of the figure = area of square + area of rectangle = s² + length × width
Area of the figure = 3² + 6 × 3 = 27 ft²
2. Area of the figure = area of circle + area of rectangle = πr² + length × width
Area of the figure = π(7²) + 24 × 16 = 537.9 ft²
3. Area of the figure = area of smaller rectangle + area of bigger rectangle
Area = 12 × 12 + 20 × 12 = 384 yd²
4. Area of the figure = area of 1/2circle + area of triangle = 1/2πr² + 1/2bh
Area of the figure = 1/2π(8²) + 1/2(8)(17) = 168.5 cm²
5. Area of the figure = area of rectangle + area of triangle = (l)(b) + 1/2bh
Area of the figure = (10)(7.5) + 1/2(7.5)(5) = 96.3 m²
6. Area of the figure = area of 1/2circle + area of triangle = 1/2πr² + 1/2bh
Area of the figure = 1/2π(4²) + 1/2(8)(12) = 73.1 cm²
7. Area of the figure = area of 1/2circle + area of rectangle = 1/2πr² + 1/2bh
Area of the figure = 1/2π(10²) + (20)(10) = 357.1 in.²
8. Area of the figure = area of rectangle + area of triangle = (l)(b) + 1/2bh
Area of the figure = (35)(21) + 1/2(28)(21) = 1,029 m²
9. Area of the figure = area of square + area of rectangle = s² + length × width
Area of the figure = 18² + 21 × 20 = 744 in.²
Learn more about the area of rectangle, triangle and circle on:
https://brainly.com/question/14487364
Having trouble with the question!
Answer:
C) [tex]6r^2-9r-6[/tex]
Step-by-step explanation:
Open the parentheses, you get:
[tex]-3r^2-2r-4+9r^2-7r-2[/tex]
Then combine like terms:
[tex]-3r^2+9r^2=6r^2\\-2r-7r=-9r\\-4-2=-6\\[/tex]
Then right as a polynomial:
[tex]6r^2-9r-6[/tex]
So the answer would be C)
Answer:
6r² - 9r - 6
Step-by-step explanation:
(-3r² - 2r - 4) - (-9r² + 7r + 2)
Multiply to remove the parenthesis:
(-3r² - 2r - 4) - (-9r² + 7r + 2)
1(-3r² - 2r - 4) - 1(-9r² + 7r + 2)
1(-3r²) +1(-2r) + 1(-4) + -1(-9r²) + -1(7r) + -1(2) <== remember that multiplying 2 negatives, makes a positive
-3r² - 2r - 4 + 9r² - 7r - 2
Combine any like terms:
-3r² - 2r - 4 + 9r² - 7r - 2
6r² - 9r - 6 <== make sure that your answer is in Standard form (in decreasing degrees)
Hope this helps!
You have been selected by the members of White House to participate in a one-mile race (1 mile = 5,280 feet) on Sports Day. Another student from Blue House will race against you. You know from some trials in PE that you run at an average rate of 12 feet per second. Since the student from Blue house runs 10 feet per second, you have been asked to let him have a 1000-ft. head start.
If both of you maintain the estimated rates, would you be able to beat your opponent in the one-mile race?
REASONING: If both of you maintain the estimated rates, would you be able to beat your opponent in a one-mile race?
Answer:
Blue wins
Step-by-step explanation:
Blue runner 4280 ft / 10 ft/sec = 428 sec to finish
Red 5280 / 12 = 440 sec Blue will win
How many ounces are in 4 pounds?
4 ounces
56 ounces
64 ounces
72 ounces
Answer:
64
Step-by-step explanation:
16 ounces per pound
16 x 4
A function of x containing four ordered pairs of
the form (x, y) is shown below.
{(2,0),(4,0), (6,0), (8,0)}
What is the domain of the function?
Answer:
{2, 4, 6, 8}
Step-by-step explanation:
The domain refers to all the possible x values of a function.
Our ordered pairs :
(2,0)(4, 0)(6, 0)(8, 0)As they are in the form (x, y), the domain is :
⇒ {2, 4, 6, 8}
Which of the following are not polynomials?
Answer:
D
I really wish is right!!!
There are 110 calories per 28.4 grams of Cereal X. Find how many calories are in 39.76 grams of this cereal
Step-by-step explanation:
28.4 g there are 110 calories
1 g there are 110/28.4 = 3.87 calories
39.76 g there are 3.87 × 39.76 = 153.87
having issues with this question
Answer:
[tex]5q^8y^{16}\sqrt{5qy}[/tex]
Step-by-step explanation:
[tex]\sqrt{125q^{17}y^{33}} =\sqrt{5*5^2*q*q^{16}*y*y^{32}}=5q^8y^{16}\sqrt{5qy}[/tex]
Total price: The sales tax is 4.25% and the sales tax is $17.55, what is the purchase price? (Round to the nearest cent)
The purchase price is ________
The total price is__________ (Round to the nearest cent)
Answer:
Purchase price = $412.94 (nearest cent)
Total price = $430.49 (nearest cent)
Step-by-step explanation:
Purchase price
If 4.25% = $17.55
⇒ 100% = (17.55 ÷ 4.25) × 100 = 412.9411765...
⇒ Purchase price = $412.94 (nearest cent)
Total price
total price = purchase price + sales tax
= $412.94 + $17.55
= $430.49
So let the original price be x
4.25% of x=17.550.0425x=17.55x=17.55÷0.0425$412.94Total price:-
412.94+17.55$430.49Find the distance between the two points in simplest radical form.
(9,-1,) and (3,3)
x1 = 9, x2 = 3
y1 = -1, y2 = 3
By using Distance formula[tex] \sqrt{ {(x2 - x1) + (y2 - y1)}^{2} } \\ \\ \sqrt{ {(3 - 9)^{2} + (3 - ( - 1))}^{2} } \\ \\ \sqrt{ {( - 6)}^{2} + {(4)}^{2} } \\ \\ \sqrt{ 36 + 16 } \\ \\ \sqrt{52} \\ \\ 7.21 \: units[/tex]
Hope it helpsType your answer in the box. You may use numbers, a decimal point (.), and/or a negative sign (-) in
your answer.
In one design being considered for the container shaped like a cylinder, the container will have a height
of 12 inches. What will be the radius of the container, to the nearest tenth of an inch?
4 pounds of apples cost $6. how much will 6 pounds cost
Answer:10 bucks
Step-by-step explanation:
have a good day
what is the circumference of a circle with a diameter of 7 in
Answer:
22 inches
Step-by-step explanation:
Given:
Diameter - 7 inches Radius - 3.5 inchesCircumference of circle = πd , where d is the diameter of a circle.
= 22/7 * 7 inches
Circumference = 22 inches
a pentagon is shown what is the area, in square inches of the pentagon
=========================================================
Explanation:
Along the top row, label the two triangles A and B.
In the bottom row, label the figures as C, D, E. We have C and E as the two surrounding triangles and D as the rectangle.
To find the area of triangle A, we need to find the horizontal side first. Use the pythagorean theorem to get 3 inches across the horizontal portion. We have a 3-4-5 right triangle. The area of triangle A is base*height/2 = 3*4/2 = 6 square inches. Triangle B is a reflected copy of triangle A, so it has the same area.
Triangle C has an area of base*height/2 = 1*5/2 = 2.5 square inches, so does triangle E because it is a mirrored congruent copy.
The rectangle D has an area of base*height = 4*5 = 20 square inches.
-----------------------
We have these areas:
Triangle A = 6 square inchesTriangle B = 6 square inchesTriangle C = 2.5 square inchesRectangle D = 20 square inchesTriangle E = 2.5 square inchesTo wrap things up, add up those areas
A+B+C+D+E = 6+6+2.5+20+2.5 = 37 square inches
Find the next two numbers in the sequence 5,2,-1,…
Answer:
The answer is (-4) and (-7).
Step-by-step explanation:
Given;a₁ = 5a₂ = 2a₃ = (-1)To Find;a₄ = ?a₅ = ?Formula;aₙ = a + (n – 1) × dNow, for common difference (d)
d = a₂ – a₁ = 2 – 5 = -3
d = a₃ – a₂ = (-1) – 2 = -3
Here, common difference is same everywhere.
So, for fourth term or n = 4
aₙ = a + (n – 1) × d
a₄ = 5 + (4 – 1) × (-3)
a₄ = 5 + 3 × (-3)
a₄ = 5 – 9
a₄ = -4
Then, for fifth term or n = 5
a₅ = 5 + (5 – 1) × (-3)
a₅ = 5 + 4 × (-3)
a₅ = 5 – 12
a₅ = -7
Thus, The fourth term is (-4) and fifth term is (-7).
The C major key, starting with the middle C, consists of seven notes (white keys on the piano) with the following frequencies.
Note
C
D
E
F
G
A
B
Frequency(Hz)
261.6
293.7
329.6
349.2
392.0
440.0
493.9
Determine the ratio of the note E to middle C.
a.
1.1224
c.
1.434
b.
1.2599
d.
1.3454
Answer:
b. 1.2599
Step-by-step explanation:
The ratio of the two frequencies is found by dividing the first by the second.
__
(Freq of E)/(Freq of C) = 329.6/261.6 = 1.2599
URGENT I HAVE ALMOST 0 TIME LEFT I NEED LAST MINUTE HELP
A parabola has zeros of 7 and 1 and passes through the point (3,4). Determine the equation of the parabola.
Answer:
The zeros are the points where the parabola intercepts the x-axis.
[tex]\sf x = 7 \implies x - 7 = 0[/tex]
[tex]\sf x = 1 \implies x - 1 = 0[/tex]
[tex]\sf \implies y = a(x - 7)(x - 1)[/tex] where a is some constant
If the parabola passes through point (3, 4) then:
[tex]\sf \implies a(3 - 7)(3 - 1) = 4[/tex]
[tex]\sf \implies a(-4)(2) = 4[/tex]
[tex]\sf \implies -8a = 4[/tex]
[tex]\sf \implies a = -\dfrac12[/tex]
So the equation of the parabola is:
[tex]\sf y = -\dfrac12(x - 7)(x - 1)[/tex]
Or in standard form:
[tex]\sf y = -\dfrac12x^2+4x-\dfrac72[/tex]
Spot the quadratic equation:-
(x-1)(x-7)x(x-7)-1(x-7)x²-7x-x+7x²-8x+7Find a through (3,4)
a(x²-8x+7)=4a(9-24+7)=4a(-8)=4a=-1/2Equation:-
y=-1/2(x-7)(x-1)Find the surface area of a square pyramid with side length 2 km and slant height 2 km
side length 2 km and slant height 2 km.
to find:the surface area of the pyramid.
solution:area of 4 triangle= 1/2 × 2 × 2 × 4
= 8km
area of rectangle= 2×2
= 4km
area= 4+8
= 12km
so, the surface area of the pyramid is 12km.
Which expressions are equivalent. Circle your answer.
a. 10x - 6x
b. 7x + 3x
C. 12x + 2x - 10x
d. X - X + 2x
Answer: a) 10x-6x and c) 12x+2x-10x
Step-by-step explanation:
Lets start by simplifying all the expressions
a) 10x-6x=4x
b)7x+3x=10x
c)12x+2x-10x=14x-10x=4x
d)x-x+2x=2x
As you can see a and c both simplify to 4x meaning that is our answer.
Options A and C
Solution:In order to simplify these expressions, we should combine like terms:10x-6x=4x7x+3x=10x12x+2x-10x=14x-10x=4x (so expressions A & C are equivalent)x-x+2x=0x+2x=2xHope it helps.
Do comment if you have any query.
Solve for x
2x3=x2+6x
please help me. Thanks
Answer:
heya! ^^
[tex]2x {}^{3} = x {}^{2} + 6x \\ \\ 2x {}^{3} = x(x + 6) \\ \\ dividing \: both \: sides \: by \: x \\ \\ \frac{2\cancel{x} {}^{3} }{\cancel{x}} = \frac{\cancel{x}(x + 6)}{\cancel{x}} \\ \\ 2x {}^{2} = x + 6 \\ \\ 2x {}^{2} - x - 6 = 0 \\ \\ by \: splitting \: the \: middle \: term \: ( - x) \\ \\ 2x {}^{2} - 4x + 3x - 6 = 0 \\ \\ 2x(x - 2) + 3(x - 2) = 0 \\ \\ 2x + 3 = 0 \: \: \: or \: \: \: (x - 2) = 0 \\ \\ x = \frac{ - 3}{2} \: \: \: \: or \: \: \: \: x = 2[/tex]
hope helpful :D
Need help ASAP due today! I will give brainlisted for correct answer!
Answer: 15.
Step-by-step explanation: To find the slope, you need to use rise/run which is done below if you need a visual look at what I'm saying. Before we use rise/run, we need two points on the line. We'll use (2, 80), and (6, 140). We need to go 60 up and 4 to the right to make the points meet. Going up or down is the rise and left or right is the run. Our rise/run is 60/4 or 15 when you divide. Therefore, 15 is your slope for this equation of a line.
Have a great day! :)
need help with geometry (number 21)
Answer: D
Step-by-step explanation:
Adjacent sides of a rectangle are perpendicular. This means that the measure of angle HEF is 90 degrees.
The equation c = 0.20t +3.50 shows the relationship between the charge, c. in dollars for renting a kayak for t minutes
What is the meaning of the slope?
O Every 0.2 minutes you have to pay $1.
You have to pay $0.20 up front before sing the kayak at all.
For $1.00. you can rent a kayak for 20 minutes,
It costs $0.20 per minute to rent the kayak
Answer:
O It costs $0.20 per minute to rent the kayak
Step-by-step explanation:
c = 0.20t + 3.50→ $3.50 is the fixed cost→ $0.20 is the rate per minute use of the kayakOption 4Answer:
It costs $0.20 per minute to rent the kayak
Step-by-step explanation:
The equation is a linear equation in the form y = mx + b
x is the independent variabley is the dependent variablem is the slope/gradient and tells us the rate of changeb is the y-intercept and tells us the initial value (when x = 0)Given equation: c = 0.20t + 3.50
Therefore,
t is time (in minutes) and is the dependent variable.c is the total charge (in dollars) and is the independent variable.$0.20 is the slope (rate of change) and tells us that the charge (c) increases by this amount for every increase of 1 unit of the value of t (1 minute).$3.50 is the initial charge and is not dependent on the value of t.Therefore, the meaning of the slope is:
It costs $0.20 per minute to rent the kayak
Which expression is equivalent to 20 + 8y − 9y − 21
Answer:
-y-1
Step-by-step explanation:
help pls it’s due soon :/
Chord AB subtends two arcs with measures in the ratio of 1:5. Line PQ is tangent
to the circle at point B. Find the measure of the angle between the tangent and secant AB.
Answer:
acute: 30°obtuse: 150°Step-by-step explanation:
The angle between the secant and the tangent will be half the measure of the intercepted arc. The two intercepted arcs total 1+5=6 ratio units and 360°. That means each ratio unit represents 60° of arc. The two arcs are 60° and 300°.
Then the two angles at the tangent and secant are ...
60°/2 = 30° . . . . . . . the one marked in the attache drawing
300°/2 = 150°
Beryllium-li decomposes into boron-li with a half-life of
13.8 seconds. How long will it take 2400 g of beryllium-il
to decompose into 75 g of beryllium-il? (3 marks)
[tex]\textit{Amount for Exponential Decay using Half-Life} \\\\ A=P\left( \frac{1}{2} \right)^{\frac{t}{h}}\qquad \begin{cases} A=\textit{current amount}\dotfill &75\\ P=\textit{initial amount}\dotfill &2400\\ t=seconds\\ h=\textit{half-life}\dotfill &13.8 \end{cases} \\\\\\ 75=2400\left( \frac{1}{2} \right)^{\frac{t}{13.8}}\implies \cfrac{75}{2400}=\left( \frac{1}{2} \right)^{\frac{t}{13.8}}\implies \cfrac{1}{32}=\left( \frac{1}{2} \right)^{\frac{1}{13.8} t}[/tex]
[tex]\log\left( \cfrac{1}{32} \right)=\log\left[ \left( \frac{1}{2} \right)^{\frac{1}{13.8} t} \right]\implies \log\left( \cfrac{1}{32} \right)=t\log\left[ \left( \frac{1}{2} \right)^{\frac{1}{13.8}} \right] \\\\\\ \cfrac{\log\left( \frac{1}{32} \right)}{\log\left[ \left( \frac{1}{2} \right)^{\frac{1}{13.8}} \right]}=t\implies \cfrac{\log\left( \frac{1}{32} \right)}{\log\left[ \sqrt[13.8]{\frac{1}{2}} \ \right]}=t\implies 69\approx t[/tex]
