s^2 means we're squaring the number s
For example, if s = 3, then s^2 = 3^2 = 3*3 = 9
This is likely a formula to find the area of a square. In the example above, the square would have a side length of 3 leading to an area of 9.
A rope is 66 feet long. It is cut into two pieces such that one piece is half the length of the other. What is the length of the longer piece of rope? 22 feet 26 feet 33 feet 44 feet
33 hope this helps thanks
Answer:
44
Step-by-step explanation:
The answer is 44 because 66-22=44, 44+22=66 44 is twice of 22
WILL GIVE 20 POINTS I PROMISE !!!! PLEASE ANSWER FAST
If a piece of ribbon is 4 and 3/4. feet long, how long is it in inches?
A. 48 inches
B. 57 inches
C.60 inches
D. 62 inches
12 inches is equivalent to 1 foot. So 12 times 4 = 48. So, the answer is b because then u know that its a little more than 48.
Hope this helped! Comment if u have questions. :)
Question 44 Unsaved
Find the measure of an angle between 0° and 360° coterminal with an angle of -271° in standard position.
Question 44 options:
181°
91°
271°
89°
Coterminal angles are angles in standard position (angles with the initial side on the positive x -axis) that have a common terminal side.
Answer: 89°Coterminal angles are angles that have the same terminal sides in standard position.
Anytime we complete a full cycle( a complete revolution) we come back to the same terminal side.
Therefore to find all angles which are coterminal with [tex]-271\degree[/tex] we keep adding or subtracting [tex]360\degree[/tex].
For the given interval, that is, [tex]0\degree[/tex] to [tex]360\degree[/tex],
We add [tex]360\degree[/tex] so that we can obtain an angle coterminal with [tex]-271\degree[/tex] within this interval.
This means that
[tex]-271\degree[/tex] is coterminal with [tex]360\degree + \: -271\degree=89\degree[/tex]
Hence the correct and answer is D
100 POINTS! MUST HAVE CORRECT ANSWER AND EXPLAIN YOUR WORK!
Evaluate the expression:
v ⋅ w
Given the vectors:
r = <5, -5, -2>; v = <2, -8, -8>; w = <-2, 6, -5>
(It's an essay question so please explain throughly.)
Answer:
Step-by-step explanation:
we have to find the dot product here.
From the formula of dot product of vectors,
we know-
if X=<a,b,c> and Y=<d,e,f>
Then dot product of X and Y is-
X.Y=ad+be+cf
Here, we get
v=<2 , -8 , -8>
and w=<-2 , 6 , -5>
So, the dot product is-
v . w=2(-2)+(-8)(6)+(-8)(-5)
=-4-48+40
=-52+40
=-12
So,
v . w= -12
Answer:
-12
Step-by-step explanation:
we have to find the dot product here.
From the formula of dot product of vectors,
we know-
if X=<a,b,c> and Y=<d,e,f>
Then dot product of X and Y is-
X.Y=ad+be+cf
Here, we get
v=<2 , -8 , -8>
and w=<-2 , 6 , -5>
So, the dot product is-
v . w=2(-2)+(-8)(6)+(-8)(-5)
=-4-48+40
=-52+40
=-12
So,
v . w= -12
in August Emily's clothing store sold 460 shirts with the ratio of short sleeve to long sleeve being 3:7. how many short sleeve shirts were sold
Answer: There are 138 short sleeves t-shirts.
Step-by-step explanation:
Given : In August Emily's clothing store sold 460 shirts with the ratio of short sleeve to long sleeve being 3:7.
Let the number of short sleeves shirts be 3x and the number of long sleeves shirts be 7x.
Then, according to the given question, we have
[tex]7x+3x=460\\\\\Rightarrow\ 10x=460\\\\\Rightarrow\ x=46[/tex]
Now, the number of short sleeves shirt = 3(46)=138
Hence , there are 138 short sleeves shirts.
Tommy has a pet monkey .Every day , his monkey eats 4 apples in the morning.the monkey also eats two bananas for every banana that tommy eats .
Write an equation to describe this situation where x is the number of banana tommy eats and y is the total number of pieces of fruit the monkey eats
solve sin(3x)=1/4 for all X, X in degrees
ANSWER
[tex]x=\frac{14.5\degree}{3}+120\degree n\:or\:x=\frac{165.5\degree}{3} +120\degree n[/tex], for [tex]n\ge 0[/tex], where [tex]n[/tex] is an integer.
EXPLANATION
We want to solve the trigonometric equation;
[tex]Sin(3x)=\frac{1}{4}[/tex]
Since sine ratio is positive, it means the argument,[tex](3x)[/tex] is either the first quadrant or second quadrant.
This implies that;
[tex](3x)=arcsin(\frac{1}{4})[/tex]
[tex](3x)=14.5\degree[/tex] in the first quadrant.
Or
[tex](3x)=180\degree-14.5\degree=165.5\degree[/tex] in the second quadrant.
Since the sine function has a period of [tex]360\degree[/tex], The general solution is given by
[tex](3x)=14.5\degree+360\degree n\:or\:(3x)=165.5\degree +360\degree n[/tex],for [tex]n\ge 0[/tex], where [tex]n[/tex] is an integer.
Dividing through by 3, we obtain the final solution to be;
[tex]x=\frac{14.5\degree}{3}+120\degree n\:or\:x=\frac{165.5\degree}{3} +120\degree n[/tex], for [tex]n\ge 0[/tex], where [tex]n[/tex] is an integer.
it takes an ant farm 3 days to consume half of an Apple at that rate in how many days will the ant farm consume apples?
Answer:
From the comments below we see the missing part of the question is "in how many days will the ant farm consume 3 apples?"
The answer is 18.
Step-by-step explanation:
We will use a proportion to solve this. It takes 3 days to consume 1/2 of an apple; this gives us the ratio
3/0.5
We want to know how many days, x, it will take to consume 3 apples; this gives us the ratio
x/3
Together this gives us the proportion
3/0.5 = x/3
Cross multiply:
3(3) = 0.5(x)
9 = 0.5x
Divide both sides by 0.5:
9/0.5 = 0.5x/0.5
18 = x
The ant farm will take 18 days to consume 3 apples.
Given that,
Ant farm consumes 0.5 apple in 3 Days.We need to find days to consume 3 apples.Let number of days be X.Here we assume 3 apples.According to above information, calculation of data are as follows,
[tex]X = (3 \div 0.5) \times 3\\\\X = 6 \times 3[/tex]
X = 18
So, Total number of days required is 18 days.
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Given that m and n are parallel, and p is a transversal that is perpendicular to m, give an explanation for why it must also be perpendicular to n.
We know that if m and n are parallel, then we know that they have the same slope. We can call it x in this case.
Since we know that p is a perpendicular transversal, then we know it is the opposite and reciprocal of m. Therefore, we can label it as -1/x.
Since p = -1/x and n = x, we can tell they are perpendicular.
Parallel lines m and n, with transversal p, imply that if p is perpendicular to m (forming a 90-degree angle), it must also be perpendicular to n because parallel lines have the same inclination. Thus, the angle between n and p also has to be 90 degrees.
Explanation:In the scenario presented, we're dealing with parallel lines m and n, and a transversal, p. The fact that p is perpendicular to m implies that the angle between m and p is 90 degrees. Now, since m and n are parallel, this means they have the same angle of inclination. So, the angle between n and p is also 90 degrees. This essentially means p is perpendicular to n as well.
Parallel lines have the property that they never intersect and are always equidistant. In geometry, when a line crosses two or more other lines, it is called a transversal. And when a line is perpendicular to another, it forms a 90-degree or right angle with the other line.
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A married couple together earns 110,000 a year. The wife earns 16,000 less than twice what her husband earns.what does the husband earn
The husband earns $42,000 per year.
Let's denote the husband's earnings as H.
According to the problem, the wife earns 16,000 less than twice what her husband earns. So, the wife's earnings can be represented as (2H - 16,000).
We know that together they earn 110,000 per year. This can be written as:
H + (2H - 16,000) = 110,000
Combining like terms, this equation simplifies to:
3H - 16,000 = 110,000
Add 16,000 to both sides to solve for H:
3H = 126,000
Divide both sides by 3:
H = 42,000
Therefore, the husband earns $42,000 per year.
write this number in expanded form 5,002,822
2x + 2y =6. 5x + 2y =4. Which of the following equations could be the result of multiplication and addiction to eliminate a variable in the system of equations?
A) 19x = 24
B) 19y = 22
C) 11y = 22
2x+2y=6
5x+2y =4
Multiply eq 1 by 5 and equation 2 by -2
10x+10y = 30
-10x - 4y = -8
Now adding we get
6y = 22
Divide by 2
3Y =11
Factor. 25x^12-36y^14
The answer is: [tex](5x^{6}+6y^{7}) (5x^{6} - 6y^{7})[/tex]
To get answer: Factor [tex]25x^{12} -36y^{14}[/tex]
[tex]-36y^{14} +25x^{12}[/tex]
[tex]= (6y^{7} +5x^{6})(-6y^{7}+5x^{6})[/tex]
(5x⁶+6y⁷)×(5x⁶−6y⁷)
This is your answer hope this helps! Have a good day/night whatever time it is near you!
What is 58 - 45.183?
Answer: 12.817
Step-by-step explanation: hope it helps! PLEASE SELECT ME BRAINLIEST!♡
Tom is trying to write 3/47 As a decimal. He used long division and divided until he got the quotient 0.638297872, at which point he stopped. Since the decimal doesn’t seem to terminate or repeat, he concluded that 3/47 is not rational. Do you agree or disagree? Why?
Answer:
3/47 is rational because it is a ratio of two integers.
numbers between 10 and 20 , divisible by 2,3 and 9
By using LCM, the result is-
Number between 10 and 20 divisible by 2, 3 and 9 = 18
What is LCM of two numbers?
LCM means Lowest Common multiple. LCM of two numbers a and b is the lowest numbers which is divisible by both a and b
LCM can be calculated by division method and prime factorization method.
Also there is an important formula relating HCF and LCM
HCF [tex]\times[/tex] LCM = Product of two numbers
Here,
The number which is divisible by 2, 3 and 9 = LCM of 2, 3 and 9.
2 = 2
3 = 3
9 = 3 [tex]\times[/tex] 3
LCM = [tex]2 \times 3 \times 3[/tex] = 18
Next number divisible by 2, 3 and 9 = 18 + 18 = 36
But 36 does not lie between 10 and 20
So number between 10 and 20 divisible by 2, 3 and 9 = 18
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Can u solve for the indicated variable
R= c-s/t. For c
Switch the equation to have c on left side
C-s/t= r
Now multiply t both sides
C-s= r(t)
C-s= rt
Now add s both sides to get your answer
C= s+rt
Use the graph below to fill in the blank with the correct number: f(1) = _______ X, Y graph. Plotted points negative 3, 0; negative 2, 2; 0, 1; and 1, negative 2.
Answer:
f(1) = -2
Step-by-step explanation:
Each point is (x, f(x)).
The point (1, f(1)) is given as (1, -2), so f(1) = -2.
Answer:
f(1) = -2
Step-by-step explanation:
Find the probability that event A will appear at least three times in four independent tests if the probability of occurrence of event A in one test equal to 0.4
This kind of problems are solved using Bernoulli's distribution. Everytime you have a win/lose scenario, and you know the probability [tex] p[/tex] of winning, and you want [tex]k[/tex] successes over [tex]n[/tex] trials, you have the following probability:
[tex]\displaystyle P(k\text{ successes over }n\text{ trials}) = \binom{n}{k}p^k(1-p)^{n-k} [/tex]
You want the probability of having at least three successes, i.e. you are interested in the cases k=3 and k=4. The corresponding probabilities are
[tex]\displaystyle P(3 \text{ successes}) = \binom{4}{3}0.6^3 \cdot 0.4 = 4\cdot 0.216 \cdot 0.4 = 0.3456[/tex]
[tex]\displaystyle P(4 \text{ successes}) = \binom{4}{4}0.6^4 = 0.1296 [/tex]
So, the total probability is [tex] 0.3456+0.1296 = 0.4752[/tex]
If the sin 90 = 1 , then the cos 0 =
Rule of trigonometric functions:-
sin a = cos(90 - a)
Here a = 90°.
sin 90 = cos (90 - 90)
1 = cos 0.
cos 0 = 1.
So the cos 0 = 1.
Answer:
Step-by-step explanation:
If sin 90 = 1
then cos 0 will be
as we know that
cosx = sin(90-x)
If we plug x = 0 ,
cos0 = sin 90 = 1
-8(4+9x)=7(-2-11x)
please help me solve this i have no clue and this is my math homework
Distributive property
-8*4=-32 -8*9x=-72x
-32-72x=7(-2-11x)
7(-2)=-14 7(-11x)=-77x
-32-72x=-14-77x
Combine Like Terms
-32+14=-18 -77x+72x=-5x
-18=-5x
Divide both sides by -5 and theres your answer
Show all work to solve the equation below and write your solution on the space provided. 2|x-1|+3=11
Answer: x = 3, -5
Step-by-step explanation:
2 |x + 1| + 3 = 11
-3 -3
2 |x + 1| = 8
÷2 ÷2
| x + 1 | = 4
x + 1 = 4 or x + 1 = -4
-1 -1 -1 -1
x = 3 or x = -5
if a prescription reads take 2 tablespoons 3 times a day for 10 days how many total tablespoons will the patient take?
How many cubic blocks with a side length of 3/8 cm will be required
to find the volume of a cube with a side length of 3/4 cm?
A.
8
B.
10
C.
12
D.
14
E.
16
ANSWER
The correct answer is A.
EXPLANATION
The volume of a cube is given by
[tex]V=l^3[/tex]
First we find the volume of the cube with side length [tex]\frac{3}{4}cm[/tex]
[tex]V_{Cube}=(\frac{3}{4})^3[/tex]
[tex]V_{Cube}=\frac{27}{64} cm^3[/tex]
Next, we find the volume of the cubic block with side length [tex]\frac{3}{8}cm[/tex]
[tex]V_{Block}=(\frac{3}{8})^3[/tex]
[tex]V_{Block}=\frac{27}{512} cm^3[/tex]
We divide the volume of the cube by the volume of the block to get the number of cubic blocks
[tex]Number\: of \: blocks=\frac{\frac{27}{64}} {\frac{27}{512}}[/tex]
[tex]Number\: of \: blocks=\frac{27}{64} \times \frac{512}{27}[/tex]
[tex]Number\: of \: blocks=\frac{1}{1} \times \frac{8}{1}=8[/tex]
Answer:
The correct answer is option A.
8 blocks are needed to fill the box.
Step-by-step explanation:
Given data:
Side length of a block = 3/8 cm
Side length of main block = 3/4 cm
How many blocks are needed to fit in main blocks = ?
Solution:
Volume = length³
Volume of one simple block = (3/8)³ = 27/512 cm³
Volume of one Main block = (3/4)³ = 27/64 cm³
Blocks are needed to fit in main blocks = (27/64) ÷ (27/512) = 8
Answer = 8 blocks
Hence 8 simple small blocks of one side length 3/8 cm will needed to fit in the main block of side length 3/4 cm.
Please answer! Will mark as Brainliest if correct.
Pedro, Lena, Harriet, and Yermin each plot a point to approximate the square root of 0.50.
(See picture)
Whose point is the best approximation of the square root of 0.50?
A: Pedro
B: Lena
C: Harriet
D: Yermin
Answer:
D. Yermin
Step-by-step explanation:
\sqrt(0.50) = 0.70710678
When rounded go to 0.7
Answer:It’s D
That’s the answer because I did this test before and got it right
What is the LCM for 14,8
Answer,
56
Hope this helps :-)
Hello there!
This question is super easy to me.
You had to find the prime factorization of 14.
7*2=14
Next, you had to find the prime factorization of 8.
2*2*2=8
7*2*2*2=56
Answer⇒⇒⇒56
The least common multiple of 14 and 8 is 56.
Hope this helps!
Thank you for posting your question at here on Brainly.
-Charlie
The number of question on an exam varies with the number
Answer:
[tex]t=5x[/tex]
Step-by-step explanation:
So the number of questions in an exam varies with the number of minutes to take the exam.
For each question there are 5 minutes allotted.
Lets say that there are 'x' number of questions in the exam and 't' is the total time taken to finish the exam, in minutes. So the time taken to complete the exam would be
[tex]5 \times x=5x[/tex]
Therefore, the equation relating the time taken to complete the exam and the number of questions is given by:
[tex]t=5x[/tex]
So there are two variables in the equation, 't', and 'x':
t - time taken to complete the exam
x - number of questions on the exam
if you place 1 000.00 in a savings account with an interest rate of 3.25%/ month, how much should you earn in interest at the end of the month
A- $3.25
B-$32.50
C-325.00
D-$0.33
B is your answer.
(1000x0.0325)/100= 32.50.
Hope this helps & good luck. :)
use the distributive property to solve the equation 4x/5-x=x/10-9/2
15 i think sorry if its wrong
An exam has 30 questions. The professor subtracts 8 points for each incorrect answer and adds 7 for each correct answer. If a student ends up receiving 0 points, how many questions were answered correctly?
Wrong answer = x
Correct answer = y
Total questions: x+y = 30
Rewrite for x: x = 30-y
Total points:
-8x + 7y = 0
replace x with 30-y
-8(30-y) + 7y = 0
Simplify:
-240 + 8y + 7y = 0
Combine like terms:
-240 + 15y = 0
Add 240 to each side:
15y = 240
Divide both sides by 15:
y = 240 / 15
y = 16
There were 16 correct answers
30-16 = 14 wrong answers.