c. 2310 (1st pic)
circumference of circle = 2πr
44= 2 × 22/7 r
44 × 7 / (2 × 22) = r
7 = r
volume of cylinder = πr^2h
= 22/7 × (7)^2 ×15
= 2310
b. -2/x+3 (2nd pic)
(work attached)
a. 80° (3rd pic)
Total number of degrees is 180
180-(60+40)=80
c. 9 (5th pic)
(27^1/3)^2
3^2
=9
sorry i couldn't solve the 4th pic but I hope this helps!
please mark me brainliest!
The following function represents an arithmetic sequence.
f(1)=2
f(n+1)=f(n)+4
What is f(10)?
Enter your answer as a number, like this: 42
Answer:
f(10)=34
Step-by-step explanation:
This is an arithmetic sequence of common difference "d = 4" (the number added to a term in order to get the next term), and first term 2,
Then we use the formula to find the nth term of an arithmetic sequence with is:
[tex]f(n)=f(1) +\,(n-1)\,d[/tex]
In our case this formula for the term number 10 becomes:
[tex]f(n)=f(1) +\,(n-1)\,d\\f(10)=f(1)+(10-1)\,4\\f(10=2+9*4\\f(10)=2+32\\f(10)=34[/tex]
Answer: Just took it!!!
f(10)=38
Step-by-step explanation:
f(1)=2
f(n+1)=f(n)+4
f(2)=6
f(3)=10
f(4)=14
f(5)=18
f(6)=22
f(7)=26
f(8)=30
f(9)=34
f(10)=38
Example A
Find the area of the blue sector. Leave your answer in terms of TT.
Answer: [tex]10\frac{2}{3}\pi[/tex]
Step-by-step explanation:
Do you really need it? If so, reply, if not, mark brainliest.
what is the product of the polynomials below? (8x^2-4x-8) (2x^2+3x+2)
Answer:
B
Step-by-step explanation:
you can FOIL or set up a box that is 3 x 3 (which is what I recommend) to solve it.
The product of the given polynomials is [tex]16x^4 +16x^3 -12x^2-32x-16[/tex]. The correct option is- B. [tex]16x^4 +16x^3 -12x^2-32x-16[/tex]
Product of polynomialsFrom the question, we are to determine the product of the given polynomials
The given polynomials are
(8x^2-4x-8) (2x^2+3x+2)
Their product can be determined as follows
[tex](8x^2-4x-8) (2x^2+3x+2)[/tex]
[tex](8x^2) (2x^2+3x+2)-4x(2x^2+3x+2)-8 (2x^2+3x+2)[/tex]
Clear the brackets
[tex]16x^4 +24x^3+16x^2 -8x^3-12x^2-8x-16x^2-24x-16[/tex]
Now, collect like terms
[tex]16x^4 +24x^3 -8x^3-12x^2+16x^2-16x^2-8x-24x-16[/tex]
Simplifying
[tex]16x^4 +16x^3 -12x^2-32x-16[/tex]
Hence, the product of the given polynomials is [tex]16x^4 +16x^3 -12x^2-32x-16[/tex]. The correct option is- B. [tex]16x^4 +16x^3 -12x^2-32x-16[/tex]
Learn more on Product of polynomials here: https://brainly.com/question/12885308
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Identify the graph of y^2+8x=0 for theta=π/6 and write an equation of the translated or rotated graph in general form.
Answer:
parabola; (x)^2-2(square root 3) xy+3(y)^2 +16 (square root 3) x+16=0
Step-by-step explanation:
edge’s possible answer 2020
the picture is the qestion
Answer:
12/18 bcz simplyfing 12/18 will give us 2/3
6/9 (divided by 2)
2/3 (divided by 3)
Step-by-step explanation:
WILL GIVE BRAINLIEST!!!!! PLEASE ANSWER FAST
help me please ill give brainly :D please dont answer for my points :(
Answer:
15 days
Step-by-step explanation:
5 people * 16 days * 6 hrs= 480 hours
8 people * x days * 4 hours= 32x hours
32x=480x= 480/32x= 15 dayswhich is the odd one out? explain reasoning: a) 0.93 divided by 0.03 b) 1.3 divided by 0.2 c) 0.7 divided by 0.07 d) 5.7 divided by 0.9
Answer:
Step-by-step explanation:
a. 0.93 ÷ 0.03 = 31
b. 1.3 ÷ 0.2 = 6.5
c. 0.7 ÷ 0.07 = 10
d. 5.7 ÷ 0.9 = 6.33333.....
d is odd one out as it is non terminating and recurring
whereas all others are terminating
Answer:
d) 5.7 ÷ 0.9
Step-by-step explanation:
a) 0.93 ÷ 0.03 = 31
b) 1.3 ÷ 0.2 = 6.5
c) 0.7 ÷ 0.07 = 10
d) 5.7 ÷ 0.9 = 6.333333333333...
The odd one out is d, because the answer is a repeating decimal, while the others are terminating.
When the polynomial P(x)=ax^3+bx^2+3x-10 is divided by x+1, the remainder is -8. P(x) has a factor of x+5. Find the values of a and b.
Answer:
a = 1, b = 6
Step-by-step explanation:
The equation given is as follows;
P(x) = a·x³ + b·x² + 3·x - 10
The above equation has a factor of x + 5, therefore, we have;
P(-5) = 0 = a·(-5)³ + b·(-5)² + 3·(-5) - 10
-125·a + 25·b + (-15) - 10 = 0
-125·a + 25·b - 25 = 0
-125·a + 25·b = 25...........(1)
Also, we are given that;
a·x³ + b·x² + 3·x - 10 divided by x + 1 as a remainder, R = -8, therefore;
P(-1) = -8 = a·(-1)³ + b·(-1)² + 3·(-1) - 10
-a + b - 13 = -8
-a + b = -8 + 13 = 5
-a + b = 5............................(2)
Multiply equation (2) by 25 and subtract from (1) gives
-125·a + 25·b - 25(-a + b) = 25 - 25×5
-100·a = 25 - 125 = -100
a = 1
Therefore, from equation (2) we have;
-1 + b = 5
b = 5 + 1 = 6.
Please answer for brainliest!!!Find the equation of a line that passes through the point (-2,1) and has a gradient of 3. Leave your answer in the form ax+by=c Where a, b and c are integers
Answer:
3x - y = - 7
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Here m = 3 and (a, b) = (- 2, 1) , thus
y - 1 = 3(x + 2) ← distribute
y - 1 = 3x + 6 ( subtract 6 from both sides )
y - 7 = 3x ( subtract y from both sides )
- 7 = 3x - y, that is
3x - y = - 7 ← in standard form
A "necklace" is a circular string with several beads on it. It is allowed to rotate a necklace but not to turn it over. How many different necklaces can be made using 13 different beads? help plz i will give brainlyist to right awnser :3
Answer:
We have 13 different beads to use in our necklace, and the thing that will make a necklace different to others, is the position of the beads.
And because we can not turn the necklaces over, the mirrored necklaces are different (the positions of the beads are mirrored)
For the first bead, we have 13 options, for the second, 12 options, and so on
the total number of combinations is equal to the product of the options for each selection, then we have:
C = 13*12*11*10*9*8*7*6*5*4*3*2*1 combinations:
C = 6,227,020,800.
Now, we are allowed to rotate the necklace, this means that a combination.
a b c d e f g h i j k l m (each letter is equivalent to one of the different beads)
is the same as other ordered as
m a b c d e f g h i j k l
And for each combination, we have 13 rotations, then the actual number of combinations is:
C/13 = 6,227,020,800/13 = 479,001,600
Using arrangements, it is found that 6,227,020,800 different necklaces can be made using 13 different beads.
The beads can be exchanged among the positions to form the necklace, hence, the arrangements formula is used.
This formula gives the number of possible arrangements of n elements, and is defined by:
[tex]A_n = n![/tex]
In this problem, the necklaces are formed by 13 beads, hence [tex]n = 13[/tex] and:
[tex]A_{13} = 13! = 6227020800[/tex]
6,227,020,800 different necklaces can be made using 13 different beads.
A similar problem is given at https://brainly.com/question/24648661
I NEED HELP PLEASE, THANKS! :)
Answer:
Third option is the right choice.
Step-by-step explanation:
Manipulate the right hand side.
[tex]\sec \left(x\right)\\\\=\frac{1}{\cos \left(x\right)}\\\\\mathrm{Use\:the\:following\:identity}:\quad \:1=\cos ^2\left(x\right)+\sin ^2\left(x\right)\\\\=\frac{\cos ^2\left(x\right)+\sin ^2\left(x\right)}{\cos \left(x\right)}\\\\\Rightarrow \mathrm{True}[/tex]
Best Regards!
Answer:
sin ^2 (x)+ cos^2(x) = 1
Step-by-step explanation:
sin ^2 (x)+ cos^2(x)
------------------------
cos (x)
We know that sin ^2 (x)+ cos^2(x) = 1
1
------------------------
cos (x)
The definition of sec is 1 /cos
= sec(x)
TRUE OR FALSE
(b^4)^3 = b^12
Answer:
TRUE
Step-by-step explanation:
if it was b^4 x b^3 then false. but here, would would multiply b^4 by b^3 to make it 12 so true
sorry for bad explanation
Answer:
True
Step-by-step explanation:
If b=2, 2^4 is 16, and 16^3 is 4096.
Also 2^12 is 4096.
So they are equivalent.
Which ordered pairs are solutions to the inequality y−4x≤−6? Select each correct answer. (−1, −9) (0, −5) (3, 5) (−2, −14) (1, 3)
Answer:
(3,5) (-2,-14)
Step-by-step explanation:
Just plug in values (x,y) in inequality
Solve 3x^2-4x-1=0 using quadratic form.
Answer:
Here is your answer!!!
Step-by-step explanation:
a=3,b=-4,c=-1
Discriminate (D)= b^2-4ac
D= (-4)^2-4(3)(-1)
D=16-(12)
D=16-12=4
x=-b±√b^2-4ac/2a
x=-(-4)±√4/2(3)
x=4±2/6
x=4+2/6=1
x=4-2/6=1/3
x=1,1/3
Sarah pours four ounces of coffee into an eight-ounce cup and four ounces of cream into a second cup of the same size. She then transfers half the coffee from the first cup to the second and, after stirring thoroughly, transfers half the liquid in the second cup back to the first. What fraction of the liquid in the first cup is now cream?
Answer:
2/5
Step-by-step explanation:
4ounces of coffee in cup 1
4 ounces of cream in cup 2
In the first step pour 4/2=2 ounces of coffee from cup 1 to cup 2, getting:
2 ounces of coffee in cup 1
2 ounces of coffee and 4 ounces of cream in cup 2
In the second step we pour 2/2=1 ounce of coffee and 4/2=2 ounces of cream from cup 2 to cup 1, getting:
2+1=3 ounces of coffee and 0+2=2ounces of cream in cup 1
so the answer is 2/5
Which expression is equivalent to 3\dfrac78 - 6\dfrac143 8 7 −6 4 1 3, start fraction, 7, divided by, 8, end fraction, minus, 6, start fraction, 1, divided by, 4, end fraction? Choose 1 answer: Choose 1 answer: (Choice A) A 3\dfrac78+\left(-6\dfrac14\right)3 8 7 +(−6 4 1 )3, start fraction, 7, divided by, 8, end fraction, plus, left parenthesis, minus, 6, start fraction, 1, divided by, 4, end fraction, right parenthesis (Choice B) B -6\dfrac14+\left(-3\dfrac78\right)−6 4 1 +(−3 8 7 )minus, 6, start fraction, 1, divided by, 4, end fraction, plus, left parenthesis, minus, 3, start fraction, 7, divided by, 8, end fraction, right parenthesis (Choice C) C 6\dfrac14-\left(3\dfrac78\right)6 4 1 −(3 8 7 )6, start fraction, 1, divided by, 4, end fraction, minus, left parenthesis, 3, start fraction, 7, divided by, 8, end fraction, right parenthesis (Choice D) D 3\dfrac78+\left(6\dfrac14\right)3 8 7 +(6 4 1 )
Answer:
[tex](A) 3\dfrac78+\left(-6\dfrac14\right)[/tex]
Step-by-step explanation:
Given the expression:[tex]3\dfrac78 - 6\dfrac14[/tex]
The given options are:
[tex](A)3\dfrac78+\left(-6\dfrac14\right)=3\dfrac78-6\dfrac14\\\\(B)-6\dfrac14+\left(-3\dfrac78\right)=-6\dfrac14-3\dfrac78\\\\(C)6\dfrac14-\left(3\dfrac78\right)=6\dfrac14-3\dfrac78\\\\(D)3\dfrac78+\left(6\dfrac14\right)=3\dfrac78+6\dfrac14[/tex]
We can see therefore that Option A is equivalent to the given expression.
Answer:
-25/-33
Step-by-step explanation:
-5/3x5/-11=
Which function represents the following graph?
Answer:
y = ∛(x+3) + 3
Step-by-step explanation:
I plugged each equation into a graphing calculator.
A rectangular pool has dimensions of 40 ft. and 60 ft. The pool has a patio area around it that is the same width from the pool on all sides. If the patio area equals the area of the pool, how wide is the distance from the pool edge to the patio edge? If x represents the width of the patio, then which of the following equations could be used to solve the word problem?
Answer:
Let
x-------> the width of the patio
we understand that
region of the pool=40*60-----> 2400 ft²
vicinity of the patio=[(40+2x)*(60+2x)]-2400
place of the patio=2400 ft²
so
[(40+2x)*(60+2x)]-2400=2400
2400+80x+120x+4x²-4800=0
4x²+200x-2400=0------> divide by 4 both sides----> x²+50x-600=0
therefore
the answer is
x²+50x-600=0
Four students were discussing how to find the unit rate for a proportional relationship. Which method is valid?
"Look at the graph of the relationship. Find the value of the point that corresponds to x 1. That value is the unit
Tate
"Look at the graph of the relationship Count the number of units up and the number of units to the right one must
move to arrive at the next point on the graph. Write these two numbers as a fraction."
"Look at the graph of the relationship. Find the x-value of the point that corresponds to y = 2. That value is the unit
Tale
"Look at the graph of the relationship. Find two points which have y-values that are one unit apart. The unit rate is
the difference in the corresponding x values."
Maandum
Save and Exit
Next
Answer:
The method that is valid in finding the unit rate for a proportional relationship is by:
Look at the graph of the relationship. Count the number of units up and the number of units to the right one must move to arrive at the next point on the graph. Write these two numbers as a fraction. The unit rate is the slope, which is the rise over run.
Step-by-step explanation:
The measure of angle A is 30 degrees, and the measure of angle B is 124 degrees. Triangle A B C What is the measure of angle C in degrees? 26° 34° 94° 154°
Answer:
The angle would measure to 26
Step-by-step explanation:
This is because the degrees in the triangle added up have to equal 180.
Step 1: add the existing degrees
124+30= 154
Step 2: do 180 - the sum
180-154 = 26
Therefore the answer is 26
Answer:
The answer is 26 just trust me :)
PLEASE ANSWER THIS I AM ASKING THIS QUESTION FOR SOMEONE CAUSE IM NICE AND yeah lol pls answer this question in the pic
If 8a^2+ 2b^2= 10 and ab = 2, then what is the value of (2a+b)^2
Answer:
13
Step-by-step explanation:
We have:
8a^2 + 2b^2 = 10
Dividing both sides by 2,
=> 4a^2 + b^2 = 5
or (2a)^2 + b^2 = 5
We also have ab = 2
=> (2a + b)^2
= (2a)^2 + 2(2a)(b) + b^2
= (2a)^2 + b^2 + 4ab
= 5 + 4(2)
= 5 + 8
= 13
Alonso is packing a box for shipping. The box contains 3 square ceramic plates with side lengths of 8 inches. He estimates that he will need 102 • 4 – 3(8 • 8 • 1) cubic inches of packing foam. Simplify to find the number of cubic inches of packing foam he will need.
Answer:
216 cubic inches
Step-by-step explanation:
We want to simplify:
102 * 4 - 3(8 * 8 * 1)
We will apply BODMAS:
Solving the Bracket first:
102 * 4 - 3(64)
102 * 4 - 192
=> 408 - 192
= 216 cubic inches
He will need 216 cubic inches of packing foam.
Explain why the initial value of any function of the form
f(x) = a(bx) is equal to a.
Answer:
Step-by-step explanation:
f(x) = a(b^x), the initial value is always a, because a is independent of x , so when x changes only b^x changes.ex if a = 2, b = 3, and x = 0: f(0) = 2 (3^0) = 2 If x = 1, then f(1) = 2 (3^1) = 2 (3). If x = 2, then f(2) = 2 (3^2) = 2 (9), as you can see a still the same.
Answer:
When you substitute 0 for the exponent x, the expression simplifies to a times 1, which is just a. This is because any number to the 0 power equals 1. Since the initial value is the value of the function for an input of 0, the initial value for any function of this form will always be the value of a.
Hope this helps!
Step-by-step explanation:
What is an equation of the line that passes through the point
(−1,5) and is parallel to the line
x−y=6?
Answer:
The equation in slope-intercept form is y = x + 6
Step-by-step explanation:
For this question, we will use point slope form, where you can put in a point and a slope and get an equation of the line that passes through the point with that slope.
The point slope formula is y - y1 = m(x-x1) where y1 is the y coordinate of the point, m is the slope, and x1 is the x coordinate.
We are trying to find a line parallel to x - y = 6, so our line will have the same slope as it. To find the slope of x - y = 6, subtract x and divide by -1. This gives us y = x - 6, where the slope is 1.
Now we have all necessary information.
Plug in the values: y - 5 = 1(x + 1)
Simplify: y - 5 = x + 1
Add 5 to both sides: y = x + 6
The answer is y = x + 6
92.6 % of 103.93 km Give your answer rounded to 2 DP.
Answer:
[tex]Result = 96.24\ km[/tex]
Step-by-step explanation:
Given
92.6 % of 103.93 km
Required
Solve (to 2 decimal places)
To solve this, we simply multiply both 92.6% and 103.93 km together;
[tex]Result = 92.6\% * 103.93\ km[/tex]
Convert percentage to fraction
[tex]Result = \frac{92.6}{100} * 103.93\ km[/tex]
Combine to form a single fraction
[tex]Result = \frac{92.6 * 103.93\ km}{100}[/tex]
[tex]Result = \frac{9623.918\ km}{100}[/tex]
[tex]Result = 96.23918\ km[/tex]
[tex]Result = 96.24\ km[/tex] (Approximated to 2 decimal places)
Please help 6TH GRADE MATH HELP ME OUT PLEASE
━━━━━━━☆☆━━━━━━━
▹ Answer
d. 7/20
▹ Step-by-Step Explanation
[tex]\frac{1}{4} + \frac{1}{10} \\= Common denominator is 20\\\\\frac{1}{4} = \frac{5}{20} \\\\\frac{1}{10} = \frac{2}{20} \\\\\frac{5}{20} + \frac{2}{20} \\\\= \frac{7}{20}[/tex]
Hope this helps!
CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
Please help me with this question!!
Answer: Choice B) The conjecture is valid given the focus is on proportional equivalence of two sectors.
This is another way of saying "the two pie slices are the same percentage in area". By this, I mean the percentage of the entire cake. For instance, the shaded slice could be 20% of the entire circle area, for each circle.
It's probably easier to see this is the angle was 90 degrees (split the cake into 4 equal slices, only shade one slice). Or probably even easier if you cut the cake into two slices and only shade one slice (to form a central angle of 180 degrees). For the first example, the slice would be 25% of the whole area, while the second slice is 50%.
Choice C is close, but the two sectors are not the same area. This is because the bottom circle has a larger radius, and therefore its sector area is larger.
Is this a linear function?
NO
Step-by-step explanation:
Answer:
No it's not
Step-by-step explanation:
The y values are just either 1 or -1 which doesn't make sense
So therefore the answer is no
Hope this helps!