The diameter of a circle is 3 in. Find its area to the nearest hundredth.
Answer:
Step-by-step explanation:
7.07 in2.
Express the interval in set-builder notation and graph the interval on a number line. [3, 6]
9. Arianna has two piles of newspapers
to take to recycling. The first pile
weighs 10 pounds 7 ounces. The
second pile weighs 148 ounces. What
is the total weight of the newspapers?
A. 19 pounds 11 ounces
B. 22 pounds 11 ounces
C. 25 pounds 3 ounces
D. 29 pounds 3 ounces
Answer:
(D) 29 pounds 3 ounces
Step-by-step explanation:
1 pound = 16 ounces
Therefore 10 pounds = 16 * 10 = 160 ounces
160 + 7 = 167 ounces (first pile)
Total Weight of Newspapers = Weight of First Pile + Weight of Second Pile
= 167 + 148 = 315 ounces
As 16 ounces = 1 pound
1 ounce = 1/16 pound
315 ounces = (1/16) * 315 = 19.6875 pounds
1 pound = 16 ounces
0.6875 pounds = 16 * 0.6875 = 11
19 + 11 = 30 pounds, which is close to ans (D)
Find the missing length indicate
Answer:
2.99973 but i would put 3 just incase
Step-by-step explanation:
just search on the internet "right triangle calculator" and click one of the links
Use the Law of Cosines to solve the triangle. (Round your answers to two decimal places.)
a = 20, b = 5, c = 17
A =
B =
C =
I need help with this
Answer:
144 ft³
Step-by-step explanation:
This "irregular shape" is a composite shape that can be considered to be any of these compositions:
extending the middle horizontal surface cuts the shape into two blocks: upper left: 2 ft high, 3 ft wide, 6 ft deep; and lower: 2 ft high, 9 ft wide, and 6 ft deep.extending the middle vertical surface cuts the shape into two blocks: left: 4 ft high, 3 ft wide, and 6 ft deep; and right: 2 ft high, 6 ft wide, and 6 ft deep.A larger block with a smaller block cut out of the upper left: larger block: 4 ft high, 9 ft wide, and 6 ft deep; cutout: 2 ft high, 6 ft wide, and 6 ft deep.The volume of any one of these blocks is the product of height, width, and depth. The above decompositions are evaluated here.
1.V = HWD
V = (2 ft)(3 ft)(6 ft) +(2 ft)(9 ft)(6 ft) = 36 ft³ + 108 ft³ = 144 ft³
__
2.V = (4 ft)(3 ft)(6 ft) +(2 ft)(6 ft)(6 ft) = 72 ft³ +72 ft³ = 144 ft³
__
3.V = (4 ft)(9 ft)(6 ft) -(2 ft)(6 ft)(6 ft) = 216 ft³ -72 ft³ = 144 ft³
Travis must use 144 ft³ of concrete to make the block.
2y-6=3y+5
find the value of y
Answer:
[tex]\boxed{\sf{y=-11}}[/tex]Step-by-step explanation:
GIVEN:
To find the value of y, isolate it on one side of the equation.
2y-6-3y+5
Solutions:
First, add by 6 from both sides.
2y-6+6=3y+5+6
Solve.
Add the numbers from left to right.
5+6=11
2y=3y+11
Then, you subtract by 3y from both sides.
2y-3y=3y+11-3y
Solve.
-y=11
Divide by -1 from both sides.
-y/-1=11/-1
Solve.
Divide these numbers goes from left to right.
11/-1=-11
[tex]\Longrightarrow: \boxed{\sf{y=-11}}[/tex]
Therefore, the final answer is y=-11.I hope this helps. Let me know if you have any questions.
What is the factorization of the polynomial below?
x2 + 6x + 8
O A. (x + 2)(x+4)
O x6
B. (x + 2)(x+6)
O C. (x + 4)(x+4)
O D. (x+8)(x + 1)
The factorization of the polynomial [tex]x^2 + 6x + 8 is (x + 2)(x + 4)[/tex], which is option A.
To factor the polynomial[tex]x^2 + 6x + 8[/tex], we need to find two numbers whose product is 8 and whose sum is 6, since we're looking for two terms that add up to the middle coefficient of the quadratic expression.
The factors of 8 are ±1, ±2, ±4, and ±8. The pairs of factors that add up to 6 are (2, 4) and (-2, -4). Since the second coefficient is positive, we can select the pair (2, 4), since their sum is positive 6.
Using these factors, we can rewrite the quadratic expression as:
x^2 + 6x + 8 = (x + 2)(x + 4)
We can check our work by expanding the factors using the distributive property:
(x + 2)(x + 4) =[tex]x^2 + 4x + 2x + 8 = x^2 + 6x + 8[/tex]
This confirms that the factorization is correct.(option-a)
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4. Find x
AB
(10x-51)
DC
(6x-11)
Answer:
51/10 and 11/6
Step-by-step explanation:
10x - 51 = 0
10x = 51
x = 51/10
6x - 11 = 0
6x = 11
x = 11/6
PLEASE HELP CORRECT ANSWER GETS BRAINLY
Answer:
[tex]7.21\ units[/tex]
Step-by-step explanation:
Start by giving the points coordinate points assuming the origin is the bottom left:
[tex]A(4,2)\\B(10,6)[/tex]
Apply the formula for the distance between two points:
[tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]d = \sqrt{(10-4)^2+(6-2)^2}[/tex]
[tex]d = \sqrt{6^2+4^2}[/tex]
[tex]d = \sqrt{36+16}[/tex]
[tex]d = \sqrt{52}[/tex]
[tex]d = 7.21\ units[/tex]
Answer:
7.22 units
Step-by-step explanation:
Using Pythagorean Theorem
AB = √6² + 4²AB = √36 + 16AB = √52AB = 2√13AB = 2 × 3.61AB = 7.22 unitsEasy math pls help quick
Answer:
opal : 5
lynette : 7.5 (7 hrs and 30 mins)
Step-by-step explanation:
Two angles have measures of (x + 14)º and (3x – 15). What value of x will make the angles congruent?
Answer:
x = 14º 30' OR 14.5º
Step-by-step explanation:
(x + 14)º = (3x – 15)º
3x -x = 14º +15º
2x = 29º
x = 14º 30' OR 14.5º
Factor the trinomial 6x² + 5x - 25. Which of the following is a factor?
O (3x + 5)
O (2x - 5)
O (3x - 5)
O (2-25)
Answer:
(3x - 5 )
(2x + 5)
Step-by-step explanation:
f(x) = 6x² + 5x - 25
Let's factor it:-
We need 2 numbers whose product = ( 6*-25) = -150 and whose sum = + 5.
These are 15 and -10. So we write:
f(x) = 6x^2 + 15x - 10x - 25
= (3x - 5)(2x + 5)
= 3x(2x + 5) - 5(2x + 5)
So the factors are (3x - 5) and (2x + 5)
How is the base of the cylinder related to the base of the cone?
their booth 4'
How are the heights of the cylinder and the cone related? their both 3'
Find the volume of the cylinder. Write your answer in terms of pi.
Please answer the first question
Answer:
12 inches
Step-by-step explanation:
Given
Volume = 763 cubic inchesDiameter = 9 inches ⇒ Radius = 9/2 inchesFormula for Volume of a Cylinder
V = πr²hSolving
763 = 3.14 x (9/2)² x h763 = 3.14 x 81/4 x h763 = 3.14 x 20.25 x h763 = 63.585hh = 11.99 ≅ 12 inchesAnswer:
The height is 12 inches
Step-by-step explanation:
Step 1: Determine the knowns a formula
[tex]Volume = 764\ in^3[/tex]
[tex]Diameter = 9\ in[/tex]
[tex]Formula: V = \pi r^2h[/tex]
Step 2: Input the values and solve
[tex]V = \pi r^2h[/tex]
[tex]764\ in^3 = \pi (9/2\ in)^2h[/tex]
[tex]764\ in^3 = \pi (20.25\ in^2)h[/tex]
[tex]764\ in^3 =63.617\ in^2 * h[/tex]
[tex]\frac{764\ in^3}{63.617\ in^2} = \frac{63.617\ in^2 * h}{63.617\ in^2}[/tex]
[tex]12.0\ in = h[/tex]
Answer: The height is 12 inches
During the first half of a basketball game, a team made 50% of their 40 field goal attempts. During the
second half, they scored on only 40% of 30 attempts from the field. What was their field goal shooting
percentage for the entire game?
The answer maybe 5%
Help please with this question
Answer:
5
Step-by-step explanation:
in each sample there were 50 students, in a group of 800 there would be 16 samples taken, if you divide the total amount of kids with Novemeber birthdays, 80 by the amount of samples, 16, youll learn that in each sample there are 5 students to have a birthday in november within each sample, hope this helps.
solve for x ～
[tex]14x - 196 = 0[/tex]
thankyou! :)
Answer:
x = 14
Step-by-step explanation:
14x - 196 = 0
14x = 0 + 196
14x = 196
x = 196 ÷ 14
x = 14
[tex]14x - 196 = 0 \\ \\ \implies14x = 0 + 196 \\ \\ \implies 14x = 196 \\ \\ \implies \: x = \frac{196}{14} \\ \\ \implies \: x = 14[/tex]
Therefore the required value of "x" will be 14.Hope it helpsIn a batch of 860 calculators, 9 were found to be defective. What is the probability that a calculator chosen at random will be defective? Write the probability as a percent. Round to the nearest tenth of a percent if necessary.
Answer:
Number of calculators n(C)=860
Number of defectives n(D)=9
The probability of a random number being defective=n(D)/n(C)
p=9/860.
converting this to a percentage gives us, 9/860×100%
=90/86
=45/43
=1.0465%
Therefore rounding this number to the nearest tenth gives us 1.0 % since the hundredth digit is 4 which is less than 5.
so, the probability of choosing a random defective calculator is 1.0%
Hey can I get some help real quick
Answer: sure, with what though?
Step-by-step explanation:
PLEASE I NEED HELP ASAP
An electrician charges $80 for a house visit and $70 per hour. If the electrician gets paid $430, how many hours did he stay at your house?
PLEASE HELP FIND THE AREA ILL GIVE BRAINLIESTTTT
Answer:
638.4
Step-by-step explanation:
You could make 2 triangles (One on each side)
91.2*7=638.4
You could cut this in half, but it would be pointless as you are going to add it back again.
Determine the interval(s) on the function that is increasing in the picture I attached
(–∞, –1) ∪ (1,∞)
(–1, ∞)
(–∞, 0) ∪ (1, ∞)
(0, 1)
Answer:
(–∞, 0) ∪ (1, ∞)
Step-by-step explanation:
From (0, 1) the graph goes down, or decreases. From (–∞, 0) ∪ (1, ∞) the graph goes up, or increases.
I hope this helps!
The function increases where the slope is positive.
The graph starts out by increasing: -infinity
The graph switches to decreasing at x = 0
The graph switches to increasing at x = 1
The graph increases until infinity
(-infinity, 0) U (1, infinity)
Correct Answer: Option 3
Hope this helps!
Describe the spread, center, and shape of the data distribution.
Answer:
Free point 3 weeks ago.
Step-by-step explanation:
Suppose that we have this spinner. What is the probability of landing on 2 after landing on 5?
25%
4%
10%
.2%
There are 5 numbers and only one of each number.
The probability of landing in 5 would be 1/5
The probability of landing in 2 would be 1/5
The probability of landing on 5 then 2 is 1/5 x 1/5 = 1/25 = 0.04 = 4%
answer = 4%
Answer:
Answer above is correct.
Step-by-step explanation:
How many solutions are there to the equation below?
√√√x = 16
Ο Α. 0
OB. 2
C. 1
OD. 4
Answer:
C. 1
Step-by-step explanation:
Given:
[tex]\displaystyle \large{\sqrt{\sqrt{\sqrt{x}}} = 16}[/tex]
The equation can be rewritten as:
[tex]\displaystyle \large{\sqrt[8]{x} = 16}[/tex] via surd property.
Since it’s an even surd, that means there only exists zero-positive numbers for value of x.
To solve this surd equation, simply clear out the surd by powering both sides by 8:
[tex]\displaystyle \large{\left(\sqrt[8]{x}\right )^8=(16)^8}[/tex]
Cancel the surd:
[tex]\displaystyle \large{x=16^8}[/tex]
Now, evaluating 16^8 will give up a million and that’s not necessary because we are finding how many solutions this equation has. Since theee only exists one value of x, which is the solution to this equation. Therefore:
Your answer is 1 solution
Find the radius of a regular hexagon with perimeter 48 units
simplify tan(a)/sin (2a)
Answer:
[tex]\frac{sec^2(a)}{2}[/tex]
Combine the terms through trigonometric identity and simplify, this should be your answer(not the actual result of the problem, just the simplified expression).
Answer:
Step-by-step explanation:
The rule is generally to reduce anything that isn't a sin(theta) or cos(theta) down to those two.
Givens
Tan(a) = sin(a) / cos(a)
sin(2a) = 2 sin(a)*cos(a)
Solution
Tan(a)/Sin(2a) = sin(a) / cos(a) // 2 sin(a) * cos(a) / 1 Invert and multiply
Tan(a)/Sin(2a) = sin(a) / cos(a) * 2 sin(a) * cos(a) Cancel and combine
Answer: Tan(a)/sin(2a) = 1 / (2* cos^2(a))
Hank has 50 peso, 200 peso and 500 peso bills in his wallet. He has five less 200 bills as 50 bills, and half as many 500 bills as 200 bills. If he has Php 6250 in all, how many of each denomination does he have?
For an amount of 6250 Peso, Hank have the quantities of the following denominations: 2503 bills of 50 peso, 2498 bills of 200 peso and 1249 bills of 500 peso.
How to apply systems of linear equations in real life equations
In this question we must translate the statement of the problem into mathematical expressions and then we must solve the resulting system. We need three equations that describe the quantities of 50 peso, 200 peso and 500 peso bills:
y = x - 5 (1)
0.5 · y = z (2)
x + y + z = 6250 (3)
The solution of the system of linear equations is described below:
x = 2503, y = 2498, z = 1249
For an amount of 6250 Peso, Hank have the quantities of the following denominations: 2503 bills of 50 peso, 2498 bills of 200 peso and 1249 bills of 500 peso. [tex]\blacksquare[/tex]
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Nemo's fish store has 12 tanks of clownfish: each tank holds 30 fish. He collects
and inspects 5 fish from each tank and finds that 3 fish have fin rot find the estimated number of
clownfish in the store that have fin rot.
The estimated value is given by the expected value. The estimated number of clownfish in the store that have fin rot will be 216.
How to find that a given condition can be modeled by binomial distribution?Binomial distributions consist of n independent Bernoulli trials.
[tex]X \sim B(n,p)[/tex]
Suppose we have random variable X pertaining to a binomial distribution with parameters n and p, then it is written as
The expected value of X is:
[tex]E(X) = np\\[/tex]
Nemo's fish store has 12 tanks of clownfish: each tank holds 30 fish.
He collects and inspects 5 fish from each tank and finds that 3 fish have fin rot
Then the estimated number of clownfish in the store that have fin rot.
The number of the clownfish in the store will be
n = 12 × 30
n= 360
Then the value of p will be
[tex]p= \dfrac{3}{5}\\\\p = 0.6[/tex]
Then the estimated number of clownfish in the store that have fin rot will be given by the expected value. Then we have
[tex]E(X) = 360 \times 0.6\\\\E(X) = 216[/tex]
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Answer:
Binomial distributions consist of n independent Bernoulli trials.
Suppose we have random variable X pertaining to a binomial distribution with parameters n and p, then it is written as
The expected value of X is:
Nemo's fish store has 12 tanks of clownfish: each tank holds 30 fish.
He collects and inspects 5 fish from each tank and finds that 3 fish have fin rot
Then the estimated number of clownfish in the store that have fin rot.
The number of the clownfish in the store will be
n = 12 × 30
n= 360
Then the value of p will be
Then the estimated number of clownfish in the store that have fin rot will be given by the expected value. Then we have
Step-by-step explanation: