Answer:
720
Step-by-step explanation: add all the numbers
IK I COPYED
Please help.
Express the following fraction in simplest form, only using positive exponents
Answer:
j^6 / 18s^23
Step-by-step explanation:
You first by flipping the fraction to get rid of the negative exponents:
(j^6)/(6s^3(3s^5)^4) =
When there are exponents that are being exponentiated together, multiply them:
(j^6) / (6s^3)(3s^20) =
When there are exponents that are being multiplied, add them:
(j^6) / (18s^23)
How can you find the sum of the first 5 consecutive positive integers? You can easily add the numbers mentally—the sum is 15. But what if you want to find the sum of the first n consecutive whole numbers? Keep this question in mind and make some conjectures about a formula.
Given:
First five consecutive positive integers.
To find:
The sum of the first 5 consecutive positive integers.
Sum of the first n consecutive whole numbers.
Solution:
First five consecutive positive integers are 1, 2, 3, 4 and 5.
Sum of these numbers is
[tex]1+2+3+4+5=15[/tex]
Therefore, the sum of the first 5 consecutive positive integers is 15.
First n consecutive whole numbers are 0, 1, 2, 3,..., (n-1). These numbers are in AP.
Here, first term is 0 and common difference is 1.
Sum of n terms of an AP is
[tex]S_n=\dfrac{n}{2}[2a+(n-1)d][/tex]
where, a is first term and d is common difference.
Substitute a=0 and d=1 in the above formula.
[tex]S_n=\dfrac{n}{2}[2(0)+(n-1)(1)][/tex]
[tex]S_n=\dfrac{n}{2}[n-1][/tex]
Sum of first 5 consecutive positive integers is equal to the sum of first 6 consecutive whole number because in whole numbers 0 is extra number.
For n=6,
[tex]S_6=\dfrac{6}{2}[6-1][/tex]
[tex]S_6=3(5)[/tex]
[tex]S_6=15[/tex]
The sum of the first 5 consecutive positive integers is 15.
So, the sum of (n-1) consecutive positive integers is
[tex]S_n=\dfrac{n}{2}[n-1][/tex]
A patient is placed in an elliptical tank that is 178 centimeters long and 102 centimeters wide to undergo sound wave lithotripsy treatment for kidney stones. Determine where the sound emitter and the stone should be positioned relative to the center of the tank
Complete Question
The diagram for this question is shown on the first uploaded image
Answer:
The position of the emitter is [tex]E = + 72.9 \ cm\ from\ the\ center [/tex]
The position of the stone is [tex]S = - 72.9 \ cm\ from\ the\ center [/tex]
Step-by-step explanation:
From the question we are told that
The length is l = 178 cm
The width is w = 102 cm
Generally the position of the stone along the horizontal axis is mathematically evaluated as
[tex]h = \frac{178}{2}[/tex]
=> [tex]h = 89 \ cm [/tex]
Generally the position of the emitter along the vertical axis is mathematically evaluated as
[tex]k = \frac{102}{2}[/tex]
=> [tex]k = 51 \ cm [/tex]
Generally the resultant position of both stone and the emitter is
[tex]R = \pm \sqrt{h^ 2 - k^2}[/tex]
=> [tex]R = \pm \sqrt{89^ 2 - 51^2}[/tex]
=> [tex]R = \pm 72.9 \ cm [/tex]
Hence the position of the emitter is [tex]E = + 72.9 \ cm[/tex]
the position of the stone is [tex]S = - 72.9 \ cm[/tex]
In equation form how would you write up 4 to the right 1
Answer: 1 + 4 = 5
Step-by-step explanation: To the right means to add, so 1 + 4 = 5.
Answer:
y=4x+b
Step-by-step explanation:
You said it was linear equations, so this would represent the slope (m)
y=mx+b
The original answer is 4/1 but that simplifies to 4 since for slope you can infer by yourself that it's 4/1 even when you just have 4 as the slope in the equation
I don't know the b but if you do, plug it in (b is the y-intercept)
Min read his book for 1/3 hour before dinner. He read his book for 1 1/4 hours after dinner. Altogether, how many hours did min read his book?
Answer:
1 7/12
Step-by-step explanation:
The answer is 1/3+1 1/4 and if you make them common fractions it is 4/12+1 3/12=1 7/12
Answer:37/12
Step-by-step explanation:
1/3+11/4=37/12
Help please
5w - w/x
When w = 6 and x = 2
Answer:
27
Step-by-step explanation:
5*6=30
6/2=3
30-3=27
[tex]5w - \dfrac{w}{x} [/tex]
Given:w=6
w=6x=2
Solution:Let's put value of w and x
→[tex]5 \times 6 - \dfrac{6}{2} [/tex]
Step 1:
→[tex]30 - 3[/tex]
Step 2:
→[tex]\purple{27✓}[/tex]
Write these expressions as the square of a monomial.
81x4 (81x4 means 81x to the power of 4)
121a6 (the 6 means to the power of 6)
0.09y12 (The 12 means to the power of 12)
4/9b6 (The 6 means to the power of 6)
PLEASE HELP ASAP! WILL GIVE BRAINLIEST IF YOU SHOW STEPS!
Answer:
81x4 = (9x^2)^2, 121a6 = (11a^3)^2, 0.09y12 = (0.3y^6)^2, 4/9b6 = (2/3b^3)^2
Step-by-step explanation:
sqrt of 81 = 9, (we do sqrt because its the inverse to exponents) x^4, x^2 * x^2 = (9x^2)^2
sqrt of 121 = 11, a^6, a^x * a^2 = a^6, x = 3, (11a^3)^2
sqrt of 0.09 = 0.3, y^12 = y^x * y^2, x=6,(0.3y^6)^2
sqrt of 4/9 = 2/3, b^x * b^2 = b^6, x = 3, (2/3b^3)^2
^ = power, * = multiplication
Two consecutive odd Integers have a sum of 72. What are the two odd
Integers
Answer:
35 and 37
Step-by-step explanation:
Answer:
35 and 37
Step-by-step explanation:
Anna walks her dog at a constant rate of 12 blocks in 8 minutes. Complete the table to show the total time it takes to walk 12, 24, 36, and 48 blocks.
12=8 minutes
24=16 minutes
36=24 minutes
48=32 minutes
Answer:
8 min in 12, 16 in 24, 24 in 36, and 32 in 48
Step-by-step explanation:
First of all, we know that 12 blocks is done 8 minutes. and we see the 12, 24, 36, and 48 are all multiples of 12, so that pattern is adding 12. That means we shall continue the pattern with multiples of 8. So, for every 24 blocks, it will take 16 minutes, and in 36 blocks, it will take 24 minutes, and so on. I hope this helps and I hope it's right, and if it isn't I apologize.
PLZZZ HELP< MY LAST ATTEMPT!
Answer:
A
Step-by-step explanation:
cos that's the midpoint
The bottles of soda are sold to the student council in a box weighing 24 pounds. If there are 60 bottles in the box, how much does each bottle of soda weigh? Each bottle of soda cost $2.50.
Answer:
.4 lbs
Step-by-step explanation:
Lucy has a bag of marbles. She shares one third of them with Carol, keeping one quarter for herself. Amrita joins them, so Lucy gives the rest of the marbles to her. If Carol has seven more marbles than Lucy, how many does Amrita have?
PLEASE TELL HOW YOU GOT THE ANSWER!!
Answer:
Step-by-step explanation:
Let L = Lucy, C = Carol and A = Arita , x = Total amount of marbles
Lucy shares 1/3 with Carol and keeps 1/4 for herself.
This means that Carol has 1/3 of the total amount of marbles, Lucy has 1/4 of the total amount of marbles.
C = 1/3x
L = 1/4x
We are also told that Carol has 7 more marbles than Lucy
C = L + 7
Since C = 1/3x and L = 1/4x you can sub these into the above equation and you get:
1/3x = 1/4x + 7
Subtract 1/4x from both sides
1/3x - 1/4x = 7
1/12x = 7
Multiply both sides by 12 to find x.
x = 7 times 12 = 84 (Total amount of marbles = 84)
Amrita gets the remaining number of marbles.
A = x - C - L
A = 84 - 1/3 (84) - 1/4 (84)
A = 35
help me pleaseeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
neither
Step-by-step explanation:
Answer:
(c)
Step-by-step explanation:
If these are
Parallel, slope of both the lines is same.
Perpendicular, if they are -ve reciprocal of each other.
In y = mx + c, slope is m.
Compare,
Slope of y=4x+1, is 4.
of 8y-16=2x is 2/8 = 1/4, which is reciprocal of 4,but not -ve.
So it is neither ll nor perpendicular.
A landscaper is planting a row of 10 shrubs along the walkway shown below. There must be one shrub at the very beginning and one shrub at the very end, and the shrubs in between will be equally spaced along the length of the walkway. Which equation can the landscaper use to find the distance d, in feet, to leave between the shrubs?
Answer:
[tex]9d = 36[/tex]
Step-by-step explanation:
See attachment for complete question
[tex]Length = 36ft[/tex]
[tex]n = 10[/tex]
From the question, we understand that one shrub must be at both ends.
Taking the first as a point of reference, we're left with:
[tex](n - 1) * distance = 36[/tex]
Substitute 10 for n and d for distance
[tex](10 - 1) * d = 36[/tex]
[tex]9 * d = 36[/tex]
[tex]9d = 36[/tex]
Hence:
[tex]9d = 36[/tex] answers the question
(-10) + -7)
find each sum?
Answer:
-10 + (-7)= -17
Step-by-step explanation:
Answer:
-17
Step-by-step explanation:
-10 plus -7 is -17
Two expressions are shown below. Which of the following is the DIFFERENCE obtained when subtracting expression II from expression I?
I. y2−4xz+z2
II. x2+xz+2y2
A. 3y2−3xz+z2−x2
B. 3y2−3xz+z2+x2
C. −y2−5xz+z2−x2
D. y2+5xz−z2+x2
Answer:C.
−y2−5xz+z2−x2
Step-by-step explanation:
Took the test got it right
The solution is Option C = ( -y² - 5xz + z² - x² )
What is Quadratic Equation?
A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.
Given data ,
Expression 1 = y² - 4xz + z²
Expression 2 = x² + xz + 2y²
Let Expression 1 - Expression 2 = A
To find Expression 1 - Expression 2 = A
A = y² - 4xz + z² - ( x² + xz + 2y² )
By grouping the like terms , we get
A = ( y² - 2y² ) - ( 4xz + xz ) + z² - x²
Therefore,
A= - y² - 5xz + z² - x²
Hence , the solution is ( -y² - 5xz + z² - x² )
To learn more about quadratic equations click :
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Multiply. Use the greatest common factor to write each answer in simplest form. 24 x 5/6
Answer:
120
Step-by-step explanation:
The common denominator of 24/1 and 5/6 is 6 so you multiply 24/1 by 6 which equal 144/6. Then you multiply 144/6 and 5/6 which equals 720/6. When you simplify it, it equals 120.
Simplify 3over-9/3over-12
Answer:
i got
[tex] \frac{4}{3} [/tex]
I may be wrong but if not mark brainliest
Write one pair of brackets in this calculation so that the answer is correct. 5 + 2 × 7 – 4 = 11
Answer:
[tex]5+2*(7-4) =11[/tex]
Step-by-step explanation:
This expression was kind of trial and error for me seeing as I'm not really good at logic, but this is pretty basic. There are three possible places the parentheses can be placed (assuming each pair holds 2 terms);
[tex](5+2)*7-4\\5+(2*7)-4\\5+2*(7-4)[/tex]
The answer to the first expression would be 45, which is not equal to 11.
The answer to the second expression would be 15, which is also not equal to 11.
The answer to the last expression is 11, so that is the correct answer.
Hope this helped :D
- Shay
find the side length of x . round your answer to the nearest hundredth of 11,14, x
Answer:
17.8
Step-by-step explanation:
use [tex]a^{2} +b^{2} =c^{2}[/tex] to get your answer
Solve the following system algebraically. Show all of your work. (5 points)
y = x + 3
3x + y = 19
Answer:x=4 and y=7
Step-by-step explanation:
The rhombus QRST is made of two congruent isosceles triangles. Given angle QRS = 34, what is the measure of angle S?
Answer:
146
Step-by-step explanation:
Since we know that this is a rhombus, we know that opposite angles must be equal to each other. This means that angle QTS is equal to angle QRS. Therefore angle QTS also equals 34.
Now, we also know that all the interior angles in a quadrilateral add up to 360. We can subtract 360-34-34=292.
Now we know that the remaining two angles S and Q need to add up to 292. We also know that they are equal because they are opposite angles. Therefore, we can solve the equation 292÷2=146. Each of these angles is 146. So the measure of angle S is 146.
The measure angle of S is 146 .
A rhombus is a special case of the parallelogram and is a quadrilateral with four equal sides. In a rhombus, the opposite sides are parallel and the opposite angles are equal. Also, all the sides of the rhombus are equal in length and the diagonals bisect each other at right angles. The rhombus is also known as a diamond.
By symmetry ;
This means that m∠QTS is equal to m∠QRS. Therefore ∠QTS is also equals 34.
We also know that The common property for all the above four-sided shapes is the sum of interior angles is always equal to 360 degrees. For a regular quadrilateral such as square, each interior angle will be equal to: 360/4 = 90 degrees.
Now we know that the remaining two angles S and Q need to add up to 292.
= 360 -34 -34= 292
We also know that they are equal because they are opposite angles.
Therefore, we can solve the equation,
[tex]\frac{sum of two opposite angle}{2}[/tex] = [tex]\frac{292}{2}[/tex] = 146
Each of these angles is 146.
So the measure of angle S is 146.
For the more information about properties of rhombus click the link given below.
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What is the value of sin 53° to the nearest ten-thousandth?
0.9325
O 1.4663
O 0.5314
O 0.7986
Answer:
Fourth option
Step-by-step explanation:
You can use a scientific calculator
if y= 2x - 3, find the value of y when x=2
Answer:
y=1
Step-by-step explanation:
Plug in 2 for x in the original equation, this gives you y=2(2)-3. 2(2)=4 and 4-3=1 therefore y=1.
Tony drove 792 miles in 11 hours at the same rate how many miles would he drive in 13 hours
Answer:
936 miles in 13 hours.
Step-by-step explanation:
if you divide 792 by 11 you get 72, which is the unit rate. You multiply that by thirteen and it is the answer 936.
Answer:
936 miles
Step-by-step explanation:
Solve proportion 2/4.5=t/0.5
0.2 or 2/9 in fraction form I believe.
HELP ASSSAPP Mr. Barnes has a bag that contains 8 yellow marbles, 9 green marbles, and 3 red marbles. Each student is to draw a marble from the bag, record the result, and not replace the marble. Then draw a second marble, record the result.
What is the theoretical probability of getting Green then Yellow?
Write as a decimal.
Answer:
6C2 = 15
# of ways to select two from the bag: 20C2 = 190
---
P(2 red) = 15/190 = 3/38
Step-by-step explanation:
Can someone Answer this please!
Answer:
I think the answer is A because Irrational numbers cannot be written in as a fraction but the do repeat at the point
A flagpole casts a 40-foot shadow. The angle of elevation from the tip of the shadow to the tip of the flagpole is 32 degrees. how tall is the flagpole? round your answer to the nearest foot.
Apex: 25 feet is the correct answer!
Step-by-step explanation:
Take it or leave it:) Good Luck
The height of the pole is 25 foot (approximate)
What is angle of elevation?The angle of elevation is the angle formed between the horizontal line and a given observer’s line of sight. From its name, the angle of elevation represents the angle formed by the ground or base and the direction or the observer’s line of sight as the observer looks up at an object.
Given,
The shadow of the flagpole = 40 foot,
and the angle from the tip of the shadow to the tip of the flagpole = 32°
Perpendicular is the height of the pole and Base is its shadow.
Tan(x)=(perpendicular)÷(base)
Tan(32°) = 0.624869352
0.624869352 = (height of pole)÷40
0.624869352 x 40 = height of pole
24.9947741 = height of pole
Height of pole = 24.9947741
Height of pole ≈ 25 foot
Hence, tthe height of the pole is 25 foot (approximate)
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Describe how you would solve -2x - 3 < 5
Answer:
x > -4
Step-by-step explanation:
-2x-3<5
+3 +3
-2x<8
/-2 /-2
x>-4
Basically, you subtract -3 from both sides to isolate -2x. Now the equation should be -2x<8. You divide by -2 on both sides to isolate the variable (x) and you should end up with x<-4. You flip the sign because you divided by a negative number. You should end up with x>-4.