Hello,
We have :
27 = 3³ = 3 × 3 × 3
[tex]x[/tex]³ = [tex]x[/tex] × [tex]x[/tex] × [tex]x[/tex]
So :
The cube root of 27[tex]x[/tex]³ is :
3 × [tex]x[/tex] = 3[tex]x[/tex]
( because : (3[tex]x[/tex])³ = 27[tex]x[/tex]³ )
We have :
8 = 2³ = 2 × 2 × 2
So :
The cube root of 8 is : 2
[tex]a^{3} +b^{3} = (a+b)(a^{2} -ab+b^{2} )[/tex] with [tex]a=3x[/tex] and [tex]b=2[/tex]
We have :
[tex](3x)^{3}+2^{3}=(3x+2)((3x)^{2} -(3x)(2)+(2 )^{2} )[/tex]
Have a nice day :)
What is the answer to this question
Answer:
B - Congruent : SAS
Step-by-step explanation:
We are given that there are two sides that are congruent and one angle is congruent and it is in the order Side Angle Side.
Find the total number of outcomes in each experiment. Write your answers on a sheet of paper.
1. tossing a coin
2. tossing 3 coins
3. rolling a die 10 times
4. rolling two dices
5. pressing a number key on a calculator
6. picking a card from a regular deck of cards
7. choosing a letter from the English alphabet
8. choosing a letter from the word OUTCOME
9. choosing a letter from the word PREDICTION
10. picking a crayon from a box with 36 crayons of different colors
Answer:
Step-by-step explanation:
In each option you need to find the number of outcomes of a single event and then multiply that by the number of times that event takes place.
1. 2 outcomes (heads and tails)
2. 6 outcomes (2 outcomes * 3 tosses)
3. 60 outcomes (6 outcomes per die * 10 rolls)
4. 12 outcomes (6 outcomes per die * 2 rolls)
5. 10 outcomes (10 numbers on the pad)
6. 52 outcomes (52 cards in a regular deck)
7. 32 outcomes (32 letters in the alphabet)
8. 7 outcomes (7 letters to choose from)
9. 10 outcomes (10 letters to choose from)
10. 36 outcomes (36 crayons to choose from)
Find the area of the triangle whose vertices are (2, 3); (-1, 0); (2, -4)...
[Also show the steps of the solution]
Please answer correctly, it's really urgent!
Answer:
Area = 14.5
Step-by-step explanation:
Let's label the given coordinates A, B, C;
Thus;
A = (2, 3)
B = (-1, 0)
C = (2, -4)
From the coordinate geometry formula, the formula for area of a triangle with 3 vertices is;
Area = [Ax(By - Cy) + Bx(Cy - Ay) + Cx(Ay - By)]/2
Area = [2(0 - (-4)) + (-1)(-4 - 3) + 2(3 - (-4))]/2
Area = 29/2
Area = 14.5
rization
Vhat is the prime factorization of 180?
Select a composite number to break into factors. Continue
factoring until all factors are prime.
22•2•3•3.5
2.2.45
2.3.3.5
480
2.9.5
Answer:
5 3 3 2 2
Step-by-step explanation:
180
90 2
45 2 2
15 3 2 2
5 3 3 2 2
Answer:
180 = 5 × 3² × 2²
Step-by-step explanation:
Starting with 180, the prime factors are in bold
180 = 90 × 2
= 45 × 2 × 2
= 15 × 3 × 2 × 2
= 5 × 3 × 3 × 2 × 2
Then
180 = 5 × 3 × 3 × 2 × 2 = 5 × 3² × 2²
If a^2 -b^2 =12 and a-b=4 what is the bay of a +b
Answer:
a+b = 3
Step-by-step explanation:
a = b+4
a^2 = (b+4)(b+4) = b^2 + 8b +16=-b^2 = 12
8b=-4
b = - 1/2
a = 3.5
Can someone help me with this math homework please!
1.f(0) = 6
2.f(4)=5
3.f(-3)=-5
4. V(r) represent volume of basketball when radius is r
5.f(9) =5
Answer:
(3)(3)(1)(2)(1)Step-by-step explanation:
1.
[In the attachment]
2.
again taking 4 as x and 5 as y.
since,
y = f(x)
5 = f(4)
that is option 3.
3.
x = -3
y = -5
y = f(x) = -5
f(-3) = -5
1st option
4.
V(r) = 4/3 pi r³
here the ou.tput is V(r) when the input is r.
and since V(r) denotes volume of air inside the basketball
V(r) is the volume of basketball when the radius is r.
that is option 2.
5.
given that:-
x = 9, f(x) = 5
•°• f(9) = 5
that is the 1st option
Find the TWO integers whos product is -12 and whose sum is 1
Answer:
[tex] \rm Numbers = 4 \ and \ -3.[/tex]
Step-by-step explanation:
Given :-
The sum of two numbers is 1 .
The product of the nos . is 12 .
And we need to find out the numbers. So let us take ,
First number be x
Second number be 1-x .
According to first condition :-
[tex]\rm\implies 1st \ number * 2nd \ number= -12\\\\\rm\implies x(1-x)=-12\\\\\rm\implies x - x^2=-12\\\\\rm\implies x^2-x-12=0\\\\\rm\implies x^2-4x+3x-12=0\\\\\rm\implies x(x-4)+3(x-4)=0\\\\\rm\implies (x-4)(x+3)=0\\\\\rm\implies\boxed{\red{\rm x = 4 , -3 }}[/tex]
Hence the numbers are 4 and -3
Step-by-step explanation:
[tex]numbers \: = x \: and \: y \\ x \times y = - 12......(1) \\ x + y = 1..... ..(2) \\y = 1 - x \\ put \: this \: in \: (1) \\ x(1 - x) = - 12 \\ x - {x}^{2} = - 12 \\ - x + {x}^{2} - 12 = 0 \\ factorise \\ {x}^{2} - 4x + 3x - 12 = 0 \\ x(x - 4) + 3(x - 4) = 0 \\ (x - 4)(x + 3) = 0 \\ x = + 4 \: or \: - 3 \\ thank \: you[/tex]
HELP ASAP 10 POINTS AND BRAINLIST HURRY AND WILL GIVE 5 STAR AND A THANKS
What is the measure of arc BC?
А
o
50°
25
E
C
D
pls help if u can:)
Answer:
arc BC = 100°
Step-by-step explanation:
The inscribed angle BEC is half the measure of its intercepted arc BC , then
arc BC = 2 × 50° = 100°
A line has slope 3 and y–intercept 4.
Answer:
1. 4x + y= 3
Step-by-step explanation:
im sure that is the right answer
Find the area of the polygon with the coordinates (1, 2), (3, 2), (3, 0), and
(1,0).
2 sq. units
8 sq. units
4 sq. units
16 sq. units
Answer:
4 sq. units
Step-by-step explanation:
Since the polygon has 4 vertices, hence the polygon is a quadrilateral with four sides and four angles.
We can see that for this polygon, opposite sides are parallel and equal to each other.
To find the area of the polygon, we have to first get the length of the polygon and then the width of the polygon, hence:
The length is the distance between (1, 2) and (3, 2):
[tex]length=\sqrt{(3-1)^2+(2-2)^2} =2\ units\\[/tex]
The breadth is the distance between (3, 2) and (3, 0):
[tex]length=\sqrt{(3-3)^2+(0-2)^2} =2\ units\\[/tex]
Since length = breadth, hence this is a square.
Area= length * breadth = 2 * 2 = 4 sq. units
The marked price of a fan is Rs 1,620 and selling price is Rs 1,539. Find the discount amount.
Answer:
rs. 81
Step-by-step explanation:
given,
mp. = 1620
sp. = 1539
now,
discount = mp - s.p = 1620 - 1539 = 81
please help i have to resit math final so bare with me
help me with this equation : x^2 - 7 = 0 IN QUADRATIC EQUATION
PS. 1st one to answer gets a brainly crown :)
Factor 60 − 36w, to identify the equivalent expressions.
Step-by-step explanation:
60-36w6(10-6w)hope it helps
stay safe healthy and happy..Answer:
all of the answers are correct
Step-by-step explanation:
In the United States, among a representative group of 6,006 white men and 1,126 black men, ages 70-79 at diagnosis with stage IV prostate cancer, 2,337 white men and 344 black men developed a second cancer of some kind after 5 years of follow-up. What is the incidence of a second cancer in the white population
Answer:
White men diagnosed with stage IV prostatic adenocarcinoma within the age bracket of 70-79 are 1.27 times more likely to survive five years after the diagnosis of stage IV prostatic adenocarcinoma than black men.
Step-by-step explanation:
The exposure is race and the outcome is survival.
Race Alive Dead T
W 2337 3669 6006
B 344 782 1126
Relative Risk - 1.27
White men diagnosed with stage IV prostatic adenocarcinoma within the age bracket of 70-79 are 1.27 times more likely to survive five years after the diagnosis of stage IV prostatic adenocarcinoma than black men.
Which expression can be used to convert 22 Australian dollars to US dollars?
Assume 1.2 Australian dollars equals 1 US dollar.
O $22 AUD X
1.2 USD
1 AUD
O $22 AUD X
1 USD
1.2 AUD
O $1.20 AUD X
1 USD
1.2 AUD
O $1.20 AUD X
1.2 USD
1 AUD
Answer:
The answer is B
Step-by-step explanation:
B
The 22 Australian dollar in USD is 18.33.
What is currency?Currency is a medium of exchange for goods or services within an economy, usually issued by a government or central bank and generally accepted at its face value.
Given that, we need to determine that there are how many USD in 22 AUD,
So, 1.2 Australian dollars equals 1 US dollar.
Therefore,
22 AUD = 22 x 1 / 1.2 = 18.33
Hence, the 22 Australian dollar in USD is 18.33.
Learn more about currency, click;
https://brainly.com/question/14372075
#SPJ7
Can someone help me explain this question? :( I have to record myself answering it and send it to my teacher
What is the effect on the graph of f(x) if it is changed to f(x) + 7, f(x + 7) or 7f(x)?
Step-by-step explanation:
The function f(x)+7 will shift the parent function up 7 units.
The function f(x+7) will shift the parent function to the left 7 units.
The function 7f(x) will stretch vertically by a factor of 7.
what is the volume of the figure. answer plz.
Answer:
Volume: 37.692 cm3
Step-by-step explanation:
1) 1/3 x 3.14 x 3 power of 2 x 4
2) 1.047 x 9 x 4
3) 37.692 cm3
Answer:
[tex]Volume ~of~cone=\pi /3r^{2} h[/tex]
[tex]r=3cm[/tex]
[tex]h=4 cm[/tex]
[tex]volume=\pi /3\times3^{2} \times4[/tex]
[tex]=12\pi =12\times3.14[/tex]
[tex]=37.68~ cm^{2}[/tex]
-----------------------
hope it helps...
have a great day!!
What is the sum of the polynomials (-x^2 +9) + (-3x^2 - 11x + 4)
Answer:
4
−
4
+
8
2
+
8
Step-by-step explanation:
Which equation in slope-intercept form represents a line that is parallel to y=-4x-5 and passes through the points (0,0)?
Answer:
y = 0x
Step-by-step explanation:
y=-4x-b
0 = -4(0) + b
0 = 0 + b
0
Can someone help me with this
Answer:
a = 17
c = 9
Step-by-step explanation:
2a + 3c = 61
3a + 5c = 96
3a = 96 - 5c (solve for 'a'. Then you can substitute)
a = 32 - [tex]\frac{5}{3}[/tex] c
2(32 - [tex]\frac{5}{3}[/tex]c) + 3c = 61 (Substitute)
64 - [tex]\frac{10}{3}[/tex]c + 3c = 61 ([tex]\frac{10}{3}[/tex] = 3 [tex]\frac{1}{3}[/tex]. So subtracting, adding a negative, leaves [tex]\frac{-1}{3}[/tex])
-[tex]\frac{1}{3}[/tex] c= -3
c = 9
2a + 3(9) = 61
2a + 27 = 61
2a = 34
a = 17
:. In the diagram below, AC is congruent to CE and D is the midpoint of CE. If CE = 10x + 18, DE = 7x - 1, and BC = 9x - 2, find AB.
Answer:
25
Step-by-step explanation:
Since AC is similar to CE, we can say that they have equal lengths. We are given CE, DE, and BC. To solve this, we can solve for the length of CE (equal to AC) and then subtract that from BC.
To solve for CE, we are given DE and CE. We know that DE is 1/2 of CE because D is the midpoint of CE. Therefore,
7x-1 = 1/2(10x+18)
expand
7x-1 = 5x + 9
add 1 to both sides to separate the 7x
7x = 5x + 10
subtract 5x from both sides to separate the x
2x = 10
divide both sides by 2 to separate the x
x=5
Therefore, DE = 7(5)-1 = 34 and CE = 10(5) + 18 = 68 = AC.
Using x=5, we know that BC = 9(5) -2 = 43
Therefore, AB = AC-BC = 68-43 = 25
D is the midpoint of CE, so if you draw a line with those three points, it'll look like C-D-E.
Since DE = 7x-1, which also means CD = 7x-1.
CD + DE = CE, so (7x-1)+(7x-1) = 10x+18.
Therefore, x = 5 and CE = 68.
Since AC is congruent to CE, AC = 68.
Assuming the point B is somewhere between AC.
Since BC = 9x-2 and x = 5, which means BC = 43.
AC - BC = AB, so 68 - 43 = 25.
Therefore, AB = 25
f(b) = 7b^3 +8b and g(b) = b ^2+ b - 10. What is f(b)-g(b)?
Answer:
[tex]{ \bf{f(b) - g(b) : }} \\ { \tt{ = ( {7b}^{3} + 8b) - ( {b}^{2} + b - 10)}} \\ = ( {7b}^{3} - {b}^{2} + 7b + 10)[/tex]
Answer:
[tex]f(b) - g(b) = 7b^3 -b^2 + 7b +10[/tex]
Step-by-step explanation:
[tex]f(b) = 7b^3 + 8b \\\\g(b) = b^2 + b - 10\\\\f(b) - g(b) = (7b^3 + 8b ) - ( b^2 + b -10)[/tex]
[tex]= 7b^3 + 8b - b^2 - b + 10\\\\=7b^3 - b^2 +7b + 10[/tex]
(Please use a separate piece of paper to calculate the answer for this problem.) A study to determine the sensitivity and specificity of a new test for macular degeneration is conducted on 2430 people. Macular degeneration occurs at a rate of 16.72 percent. Your sample has the same prevalence of macular degeneration. You find that 377 people with macular degeneration tested positive with the new test. You also have a total of 561 positive test results in your study. CALCULATE THE POSITIVE PREDICTIVE VALUE of this test under these circumstances. Group of answer choices 83.29% 98.45% 67.20% 92.86% 23.09%
Answer:
[tex]67.20\%[/tex]
Step-by-step explanation:
Given
[tex]n =2430[/tex] --- sample
[tex]r = 16.72\%[/tex] --- degeneration rate
From the findings, we have:
[tex]p = 377[/tex] --- tested positive
[tex]t =561[/tex] --- total test
Required
The positive predicted value (PPV)
This is calculated using:
[tex]PPV=\frac{Positive}{Total}[/tex]
i.e.
[tex]PPV = \frac{377}{561}[/tex]
[tex]PPV = 0.6720[/tex]
Express as percentage
[tex]PPV = 0.6720 * 100\%[/tex]
[tex]PPV = 67.20[/tex]
Help,anyone can help me do quetion,I will mark brainlest.
Answer:
I have absolutely no clue sorry buddy
Step-by-step explanation:
There is no step-by-step explanation
Answer:
Hi
Step-by-step explanation:
I can help you
2. Area of a rectangle 40 cm2
So. We know the area AND one of the sides of the rectangle.
We can calculate the area.
We know that area=length times width
so
A=lw
Rearrange that for w:
w=A/l
w=40:8
w=5
Now we know both l and w
Now we can calculate the perimeter
P=2a+2b
P=2(a+b)
P=2(8+5)
P=2(13)
P=26
I hope it is correct
Find the size of each of the unknown angles. Help me plz
Answer:
2a+15 = 125(being alternate angle)
or,2a = 125-15
or,2a = 110
or,a = 110÷2
,a = 55
again,2a+15+b+30=180(Being co-interior angle)
or,2×55+15+b+30=180
or,110+15+30+b=180
or,155+b=180
or,b=180-155
Therfore,b=25
find perimeter of the semicircular region
Answer:
4. 87.96 yd
5. 47.12 ft
6. 34.56 cm
Step-by-step explanation:
4. diameter(d) = 28 yd,
perimeter = πd = 87.96 yd (rounded to 2 dp)
5. radius(r) = 7.5 ft
perimeter = 2πr = 47.12 ft (rounded to 2 dp)
6. diameter (d) = 11 cm
perimeter = πd = 34.56 cm
Answered by GAUTHMATH
Formula to find the perimeter of a semicircular region:
if radius given: [tex]P=2r[/tex] + [tex]\pi r[/tex] {r = radius}
if diameter given: [tex]P=d+\pi r[/tex] {d = diameter}
Take [tex]\pi[/tex] as 3.14
Q4.
Diameter = 28 yd
Radius = 28/2 = 14 yd
[tex]P=28+\pi (14)[/tex]
[tex]P=28+(3.14)(14)[/tex]
[tex]P=28+14.96[/tex]
[tex]P=42.96[/tex] yd
Q5.
Radius = 7.5 ft
Diameter = 7.5 × 2 = 15 ft
[tex]P=2(7.5)+\pi (7.5)[/tex]
[tex]P=2(7.5)+(3.14)(7.5)[/tex]
[tex]P=15+23.55[/tex]
[tex]P=38.55[/tex] ft
Q6.
Diameter = 11 cm
Radius = 11/2 = 5.5 cm
[tex]P=11+\pi (5.5)[/tex]
[tex]P=11+(3.14)(5.5)[/tex]
[tex]P=11+17.27[/tex]
[tex]P=17.27[/tex] cm
I hope this helps...
Have a great day ahead :)
If a jelly bean machine contains 16 pink jelly beans, 34 blue jelly beans, 24
black jelly beans, and 26 purple jelly beans, what is the probability that a jelly
bean chosen at random will be pink?
Answer:
There are 16 pink jelly beans.
There are 16+34+24+26=100 jelly beans in total.
The probability is 4/25, or 16%.
Step-by-step explanation: hope this helps and gl :)
Answer:
The answer is 4/25
Step-by-step explanation:
Hope this helps
In the equation 17x2 = 12x, the value of c is:
O 0
O 12
O 17
The value of c is 0.
By question,
17x² = 12x
or,(17x-12):x=0
or,17x - 12 = 0#
For some tips,
In the equation 17x2 = 12x,Rewrite in factored formMove terms to the left sideCreate separate equationsHENCE PROVED ##
Choices:
One-sixth cups
Five-sixths cups
1 and two-thirds cups
1 and 5 / 6 cups
Answer:
Patel will require more orange juice = [tex]\frac{371}{660}[/tex] cups
Step-by-step explanation:
Patel needs the orange juice for his family = 3 cups
He needs more orange juice = 3 cups - Sum of juice squeezed from different oranges
[tex]=3-(\frac{13}{15}+\frac{1}{5}+\frac{9}{20}+\frac{5}{11}+\frac{7}{15})[/tex]
L.C.M. of the denominators = 660
[tex]=3-\frac{572+132+297+300+308}{660}[/tex]
[tex]=3-\frac{1609}{660}[/tex]
= [tex]\frac{1980-1609}{660}[/tex]
= [tex]\frac{371}{660}[/tex]
Therefore, amount of orange juice required more = [tex]\frac{371}{660}[/tex] cups