Step-by-step explanation:
(at+4a+10a)(a²)=(a+3)
(at)(14a)(a²+a)=3
at+14a+a³=3
The diameter of a pipe is 6 cm. If the pipe is 26 cm long, what is its volume?
Use the value 3.14 for π , and round your answer to the nearest whole number.
Be sure to include the correct unit in your answer.
i think this question answer is 734.76cm^3
Katy made muffins on 3 days. Each day she used 14 of a stick of butter to make the muffins.
Which can be used to find the total amount of butter Katy used on all 3 days
Answer:
42 total amount of butter Katy used on all 3 days
Step-by-step explanation:
1 day she used 14 butter stick
2 day she used another 14 butter stick
3 day she used another 14 butter stick
14 x 3 = 42
Consider the series 1/8+1/16+1/32+1/64+1/128+... Which expression defines Sn?
Answer:
Answer is Option B.
That is the nth term of the sequence.
1/8 + 1/16 + 1/32....
You notice that all the numerators are the same. Which is (1).
so we have to both about getting the nth term of the denominator
Since all the denominator are divisible by 2... and Your intuition should tell you that they'd multiples of 2
So Lets go with 2^n
2^n
let n be all Integers
let take 1,2,3
2¹ = 2
2² = 4
2³ = 8
Now Observe that
If you multiply all these by 4... We will have all the values of the denominator
which are 4,16,32
So thats our nth term
1/4(2^n)
as n approaches positive Infinity.
The expression is [tex]\lim_{n \to \infty} \frac{1}{4(2^{n}) }[/tex] , so option (B) is the correct expression.
What is series expansion?"A series expansion is an expansion of a function into a series or infinite sum. It is a method for calculating a function that cannot be expressed by just elementary operators (addition, subtraction, multiplication, and division)".
For the given situation,
The series is given as [tex]\frac{1}{8} +\frac{1}{16}+ \frac{1}{32}+ \frac{1}{64}+ \frac{1}{128}+......[/tex]
In the series, all the numerators are 1 and the denominators are even numbers so multiples of 2.
Now, we examine the denominators alone.
[tex]8,16,32,64,128[/tex]
⇒ Multiples of 2. So we get [tex]2^{n}[/tex] multiplied by some integers.
Put [tex]n=1,[/tex]
⇒ [tex]2^{1}[/tex] × [tex]4=8[/tex]
Put [tex]n=2,[/tex]
⇒ [tex]2^{2}[/tex] × [tex]4=8[/tex]
Put [tex]n=3,[/tex]
⇒ [tex]2^{3}[/tex] × [tex]4=32[/tex]
Put [tex]n=4,\\[/tex]
⇒ [tex]2^{4}[/tex] × [tex]4=64[/tex]
Put [tex]n=5[/tex],
⇒ [tex]2^{5}[/tex] × [tex]4=128[/tex]
Thus [tex]2^{n}[/tex] expression becomes [tex]2^{n}(4)[/tex] .
Hence we can conclude that the expression is [tex]\lim_{n \to \infty} \frac{1}{4(2^{n}) }[/tex] . So option (B) is the correct expression.
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A container is in the form of a cuboid 20cm long, 3cm wide and 14cm high. Find, in
liters, the capacity of the container.
Answer:
840cm^3
Step-by-step explanation:
Given data
Length= 20cm
Width= 3cm
Height= 14cm
The expression for the volume/capacity of the container is
Volume= L*W*H
Volume= 20*3*14
Volume= 840cm^3
Which polynomial represents the sum below?
Answer:
D
Step-by-step explanation:
Plsss helppp!!!!!!!!!!!!!!
Answer:
yes
Step-by-step explanation:
A statistical question is one that can be answered by collecting data and where there will be variability in that data.
because not every father would be born on the same day this is a statistical question.
In Mr Bunnelo's class, 19 out of 26 students wore their school shirt on Friday. If the school has a
population of 2,462 students, approximately how many students at the school wore their school shirt
on Friday?
95 students
130 students
O
663 students
1,799 students
Explain the steps how u got it
•••••••••••••••••••••••••••••
Answer:
the answer would be c
Step-by-step explanation:
≤ less than or equal to sign
2by some number take away 4 is less than or equal to 26
Answer:
the answer is c
Step-by-step explanation:
twice a number
we don't know the number so it's x
so 2x
then we decrease it by 4
so 2x-4
then Less than or equal to is ≤
then you put 26
so 2x-4≤26
There are 4 consecutive integers that sum to 394. What is the least of these integers?
Answer: 97
Step-by-step explanation:
394 / 4 = 98.5, so the 4 numbers must be around 98.5.
97 + 98 + 99 + 100 = 394
find the value of x in the polygon
x equals to 10.............
A new pet food product for small dogs has been developed to help with tooth decay. Fifty-two dogs participate in the study. Each dog owner picks a card from a standard deck out of a hat. If the card is red, their dog will be in the treatment group. If the card is black, their dog will be in the placebo group. Which experimental design was used?
a. Randomized Block Design
b. Completely Randomized Design
c. Case-Control Design
d. Matched-Pair Design
Answer: B. Completely Randomized Design
Step-by-step explanation:
A completely randomized design is an experimental design such that treatments are assigned at random completely in order for each experimental unit to have same chance of receiving treatment.
In this scenario, since all the dogs are randomly assigned treatment by picking a card without taking into consideration other factors, then we can infer that thus is a completely randomized design.
50 POINTS !!
PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
Answer:
12
Step-by-step explanation:
Use the pythagorean theorem ([tex]a^2+b^2=c^2[/tex]). A and b are the two legs of the triangle, and c is ALWAYS the hypotenuse. Plug in the values for a and c
[tex]a^2+b^2=c^2[/tex]
[tex]5^2+b^2=13^2[/tex]
[tex]25+b^2=169[/tex]
[tex]b^2=144[/tex]
[tex]b=12[/tex]
Answer:
b = 12m
Step-by-step explanation:
5^2 + b^2 = 13^2
25 + b^2 = 169 --> *subtract 25 form both sides*
b^2 = 144 --> find square root of 144*
b = 12
what is the value of x ?
Answer:
x = 19
Step-by-step explanation:
The two angles form a right angle
A right angle has a measure of 90 degrees
Thus, x + 14 + 3x = 90
^This is the equation we will use to solve for x
x + 14 + 3x = 90
step 1 combine like terms
x + 3x = 4x
we now have 4x + 14 = 90
step 2 subtract 14 from each side
90 - 14 = 76
14 - 14 cancels out
we now have 76 = 4x
step 3 divide each side by 4
4x / 4 = x
76 / 4 = 19
we're left with x = 19
A washer and dryer cost $1000 combined. The of the washer is three times the cost of the dryer. What is the cost of the dryer?
Can you help me. 12.95 + 0.4 + 0.3 + 0.09 = ?
Answer:
13.74
Step-by-step explanation:
Answer:
13.74
Step-by-step explanation:
Add 0.4+0.3 = 0.7, so the equation now looks like this: 12.95+0.7+0.09
Add 0.7 + 0.09 = 0.79, so the equation now looks like this: 12.95 + 0.79
Add 12.95 + 0.79, so now you are left with: 13.74
hope this helps, ask me if you need more explanation
Find the length of b using the Pythagorean theorem
Answer:
the Pythagorean theorem states:
a^2 + b^2 = c^2 in your case a=24 and c=40
Step-by-step explanation:
24^2 + b^2 = 40^2
24x24 + b^2 = 40x40
(576 + b^2 = 1600)
b^2 = 1600 - 576
b^2 = 1024
b= √1024
b = 32
Final answer: 32
The length of b is 32 units in triangle ΔABC.
What is Pythagoras theorem?Pythagoras theorem states that, a right-angled triangle, the square of the one side is equal to the sum of the squares of the other two sides.
a² + b² = c²
Given data as : a=24 and c=40
Substitute the values of a and c in the equation,
24² + b² = 40²
24x24 + b² = 40x40
(576 + b² = 1600)
b² = 1600 - 576
b² = 1024
b= √1024
b = 32
Hence, the length of b is 32 units.
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Question 17 (1 point)
Bicycle, a company that makes dice, is looking to change the size of the dice they produce. The current dice have edge lengths of 5mm, and the company wants to increase them to 15mm. How will the volume of the dice be effected if this change is made?
Question 17 options:
30x larger
3x larger
10x larger
27x larger
Answer:
3x
Step-by-step explanation:
Is 1/3 a irrational number?
Answer: 13 is a rational number
Step-by-step explanation: By definition, a rational number is a number q that can be written as a fraction in the form q=a/b where a and b are integers and b≠0. So, 1/3 is rational because it is exactly what you get when you divide one integer by another.
help me with this please
Tell whether the equation has one, zero, or infinitely many solutions.
4(x − 8) + 9 = 4x − 23
Answer:
Infinitely many solutions.
Step-by-step explanation:
4(x-8)+9=4x-23
4x-32+9=4x-23
4x-23=4x-23
infinitely many solutions.
You take Rocky to the Del Mar fair. His mom gives him $30 to spend. It costs $13 to get in and the $2 for every ride. How many rides can he ride?
Answer with the system of equations
Answer:
Up to eight times
Step-by-step explanation:
[tex](30 - 13) \div 2 \\ 17 \div 2 = 8.5[/tex]
Rewrite polynomial in standard form! Please help
Answer:
-9x^2+x-10
Step-by-step explanation:
can anyone place answer as quick as possible!!! thanks sm!!!
Re-write the quadratic function below in Standard Form
y = 2(x + 2)(x – 4)
Answer:
2x^2-4x-16
Step-by-step explanation:
2(x^2-2x-8)=2x^2-4x-16
id appreciate some help ^^
Answer:
392
Step-by-step explanation:
I would separate this into 2 shapes a triangle and a square. So first take the area of the square
area of square = base x height
16x19=304
Than take the area of the triangle
area of triangle = 1/2(base x height)
you can find the height of the triangle by subtracting 19 from 30 which is 11, and the base is the same as the base of the square which is 16
1/2(16x11)= 88
Add them together
304+88=392
Which ordered pair best describes the point plotted in Quadrant II on the coordinate plane shown?
A. (-4, 6 )
B. (6, 4 )
C. (4, -6)
D. (6, -4 )
Answer:
A. (-4, 6 )
Step-by-step explanation:
Signals of x and y in each quadrant:
Suppose we have a point P(x,y).
In the first quadrant, we have that both are positive, that is, x > 0, y > 0.
In the second quadrant, x is negative, while y is positive, that is, x < 0, y > 0.
In the third quadrant, both are negative, that is, x < 0, y < 0.
In the fourth quadrant, x is positive while y is negative, that is, x > 0, y < 0.
In this question:
In the second quadrant, we have x negative and y positive, so the ordered pair that best describes is given by option A.
A student is randomly selected from a class of 32 students. What is the probability that the selected student is a boy if there are 20 girls in the class
Answer:
Probability of selecting a boy will be: Number of boys/Total students= 12/32= 0.375
Step-by-step explanation:
A. 15
B. 75
C. 100
D. 105
Answer:
B. 75
Step-by-step explanation:
According to vertical angles theorem, angles that are opposite of one another with shared lines will be equal, so we can set 5x = x +60.
Solving for x, we get x = 15, and substituting into the angle we get 15 + 60 = 75 degrees.
What is the area of the parallelogram?
20 √2 cm 2
40 cm 2
20 cm 2
40 √2 cm 2
Answer:
20√2 cm²
Step-by-step explanation:
Area of parallelogram = base * height
base (b) = 10 cm
height (h) = ?
Apply trigonometric function to find the height (h)
Assuming the height connecting the parallel bases together forms a right angle, therefore
Reference angle = 45°
Opposite = height (h)
Hypotenuse = 4 cm
Apply SOH:
Sin 45 = Opp/Hyp
Sin 45 = h/4
4*Sin 45 = h
4*√2/2 = h (sin 45 = √2/2)
2√2 = h
h = 2√2 cm
✔️Area = base * height = 10 * 2√2
= 20√2 cm²
Can somebody please help we with this math problem
Answer:
A. 48 + 2x = 180
Step-by-step explanation:
This is an isosceles triangle
Therefor the unmarked angle is also xº
The three angles are 48, x and x
The total of the angles in a triangle is 180
48 + x + x = 180
48 + 2x = 180
help me please and hurry up please anyone
Answer:
I think its D