Answer:
16 is equivalent to 8 12 and 64
Step-by-step explanation:
1 + 2a + 3 + 4a + 5 + 6a + ...... + 97 + 98a + 99 + 100a = 0 What does a equal?
Answer:
a = -50/51
Step-by-step explanation:
1 + 2a + 3 + 4a + 5 + 6a + ...... + 97 + 98a + 99 + 100a = 0
1 + 3 + 5 + ... + 99 + 2a + 4a + ... + 98a + 100a = 0 Eq. 1
99 + 97 + 95 + ... + 1 + 98a + 96a + ... + 4a + 2a = 0 Eq. 2
Add Eq. 1 and Eq. 2
100 + 100 + ... + 100 + 102a + 102a + ... 102a = 0
50(100)/2 + 50(102a)/2 = 0
2500 + 2550a = 0
2550a = -2500
a = -2500/2550
a = -250/255
a = -50/51
WILL GIVE BRAINLIEST THANKS AND 5 STARS... PLZ HELP
Answer:
507x223 is greater than 530 x 200
914x385 is less than 900 x 400
If Manuel does a job in 150 hours and with the help of Shantel they can do it together in 50 hours, how long would it take Shantel to do it alone? _______ hours
Find : 5/22 + 3/7 + (-8/21) + (-6/11)
Answer:
-125/462.
Step-by-step explanation:
5/22 + 3/7 + (-8/21) + (-6/11)
= 5/22 - 6/11 + 3/7 - 8/21 The LCM of 11 and 22 is 22 and of 7 & 21= 21:
= 5/22 - 12/22 + 9/21 - 8/21
= 1/21 - 7/22 The LCM of 21 and 22 is 462:
= 22/462 - 147/462
= -125/462.
• How can you tell that a point on the graph is a maximum, a minimum, or neither?
Answer:
If it is on the maximum, then the y-value of the point cannot be any higher and still be on the graph of the function. If it is on the minimum, the the y-value of the point cannot be any lower and still be on the graph of the function. If it isn't either the maximum or the minimum, it is neither.
Classify the polynomial by its degree and the number of terms
Question: 4ab+9a
PLEASE HELP!!!
Answer:
The polynomial "4ab+9a" is a quadratic binomial
Step-by-step explanation:
It is quadratic because the degree of the term is 2. it is a binomial because it has 2 terms
Point L is located at (4, -3) and M is located at (-8, 5). Find the y value of the point that lies halfway between L and M.
Answer:
y = 1
Step-by-step explanation:
Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
[ [tex]\frac{1}{2}[/tex] (x₁ + x₂ ), [tex]\frac{1}{2}[/tex] (y₁ + y₂ ) ]
Here (x₁, y₁ ) = (4, - 3) and (x₂, y₂ ) = (- 8, 5), thus the y value of midpoint is
y = [tex]\frac{1}{2}[/tex] (- 3 + 5) = 0.5 × 2 = 1
I need help on this problem plz
Answer:
needddd
Step-by-step explanation:
5. A tin has a square base whose sides measures 32cm. the vertical sides are 50cm high. Cake mixture is
poured into the tin and leveled off at the 38cm mark above the base.
Find:
i. Surface area of the tin
(3mks)
Answer:
Tin with open top = 7424 sq.cm.
Tin with a closed top = 8448 sq. cm.
Step-by-step explanation:
Assuming the tin is open at the top.
The outside surface area of the tin is not dependent on the level of cake mixture.
Base area = 32^2 sq. cm = 1024 sq.cm
4 sides faces, each of
side area = 32*50 = 1600 sq. cm.
Total surface area of tin (excluding top)
= base area + 4 side area
= 1024 + 4*1600 sq. cm
=7424 sq. cm.
If there is a cover and the area is to be included,
total surface area including cover
= base area + top area + side areas
= 1024 + 4*1600 + 1024 sq.cm
= 8448 sq. cm.
In circle C. r = 32 units.
What is the area of circle C?
A
32īt units?
c
641 units?
256TI units
1024Tt units?
Answer:
1024 pi
Step-by-step explanation:
r = 32 units.
Area = pi * r^2
Area = 3.14 * 32^2
Area = 1024 * pi
Tt = pi??
What is the slope of the line shown below?
Answer:1/2
Step-by-step explanation:
8-2/5--7
6/12
1/2
hope i helped
can i have brainliest pls? (desperately trying to level up)
-Zylynn
The sum of digits in two-digit number is 13. If the place values of the digits are reversed, the new number is 27 more than the original number. Find the original number.
Answer: 58
Step-by-step explanation:
The sum of the two digit number is 13. On reversing its digits the new number is 27 more than the original number find the number?
Let's set up a system with two variables: x = tens place of our answer, y = units place of our answer.
Digit sum of a two digit number is 6:
x+y=13
Reverse the digits and you get 27 more than the original value:
10y+x=10x+y+27
Now let's solve:
y=13-x
10(13-x)+x=10x+(13-x)+27
130-10x+x=130x-10x + 27
130-9x=9x+40
-90=18x
x=5
y=13-5
y=8
So our original number was 58. Sum of digits is 13. Swap the order of the digits to make 85, and you have a number 27 more than the original number.
The value of original number is, 58.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The sum of digits in two-digit number is 13.
And, If the place values of the digits are reversed, the new number is 27 more than the original number.
Now, Let the one's place digit is y and the ten's place is x of the original number.
Then, We get;
⇒ x + y = 13 .. (i)
And, If the place values of the digits are reversed, the new number is 27 more than the original number.
So, We get;
⇒ 10y + x = 27 + 10x + y
⇒ 10y - y + x - 10x = 27
⇒ 9y - 9x = 27
⇒ y - x = 3
⇒ y = x + 3 ... (ii)
Substitute the value of y from (ii) in (i), we get;
⇒ x + y = 13
⇒ x + x + 3 = 13
⇒ 2x = 13 - 3
⇒ 2x= 10
⇒ x = 5
And, From (ii);
⇒ y = x + 3
⇒ y = 5 + 3
⇒ y = 8
Thus, The original number is,
⇒ 10x + y = 10 × 5 + 8
= 50 + 8
= 58
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Part A: Explain why the x-coordinates of the points where the graphs of the equations y = 2−x and y = 4x + 3 intersect are the solutions of the equation 2−x = 4x + 3. (4 points) Part B: Make tables to find the solution to 2−x = 4x + 3. Take the integer values of x only between −3 and 3. (4 points) Part C: How can you solve the equation 2−x = 4x + 3 graphically? (2 points) PLez Answer 50 points
Answer:
Step-by-step explanation:
Part A:
We have two lines: y = 2 - x and y = 4x + 3 . Given two equations that are both required to be true. The answer is the points where the lines cross, this means we have to make the equations equal to each other. It will look like this:
2 - x = 4x + 3
Part B:
In order to solve the equation we need to put the like terms together. So we will add x on each side.
2 - x = 4x + 3
+x +x
So now we get:
2 = 5x + 3
Now that x is on one side and is positive we will move 3 on the left side by subtracting it from each side.
2 = 5x + 3
-3 -3
So now we get:
-1 = 5x
Now that the like terms have been combined we need to find out what x alone is so we divide 5 on each side:
[tex]\frac{-1}{5}[/tex] = [tex]\frac{5x}{5}[/tex]
No we see that:
x = [tex]-\frac{1}{5}[/tex]
Square all the integers from 1 to 10 inclusive. Then, round each number to the nearest hundred. Finally, sum the numbers. What do you get?
Answer:
22.467
Step-by-step explanation:
Hello,
You just have to do the computation in XL or using a calculator, and round each number to the nearest hundred
x sqrt(x)
1 1
2 1.414
3 1.732
4 2
5 2.236
6 2.449
7 2.646
8 2.828
9 3
10 3.162
and do the sum which is 22.467
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
Answer:
300
Step-by-step explanation:
First let's square all the integers from 1 to 10 inclusive. We get:
1^2 = 1
2^2 = 4
3^2 = 9
4^2 = 16
5^2 = 25
6^2 = 36
7^2 = 49
8^2 = 64
9^2 = 81
10^2 = 100.
Rounding to the nearest hundred, we get that 1, 4, 9, 16, 36, and 49 all round to 0 and 64, 81, and 100 round to 100.
Therefore, we obtain
0+0+0+0+0+0+0+100+100+100,
or 300.
solve 9x-2y=11 for y
Answer:
y=9/2x-11/2
Step-by-step explanation:
-2y=11-9x
y=11-9x/-2
y=9/2x-11/2
Answer:
y= 9/2x - 11/2
or
y=4.5x -5.5
Step-by-step explanation:
To solve for y, we must get y by itself on one side of the equation.
9x-2y=11
9x is being added to 2y. The inverse of addition is subtraction. Subtract 9x from both sides.
9x-9x -2y= 11-9x
-2y= 11-9x
y is being multiplied by -2. The inverse of multiplication is division. Divide both sides by -2.
-2y-/2= 11-9x/-2
y= 11/-2 - 9x/-2
y=- 11/2 +9/2 x
or
y= -5.5 +4.5 x
Reorder the terms.
y= 9/2x - 11/2
or
y=4.5x -5.5
Perform the indicated operation (25m2 - 20m + 4) ÷ (5m - 2)
Hey there! :)
Answer:
5m - 2.
Step-by-step explanation:
We can use long division to divide the two expressions:
5m - 2
5m - 2 | 25m² - 20m + 4
25m² - 10m
-
0m² - 10m + 4
-10m + 4
-
0
The quotient of this operation is 5m - 2.
The size of the interior angle of a regular decagon...Need an answer ASAP
Answer:
144
Step-by-step explanation:
x = ((n-2)π / n) radians = (((n-2)/n) x 180° ) degrees
Step-by-step explanation:
The exterior angle of a regular n-sided polygon is given by
Exterior angle = 360/n
The interior angle is therefore the supplement of the exterior angle,
Interior angle = 180 - 360/n
for n=10, decagon,
Interior angle of a decagon = 180 - 360/10 = 180-36 = 144 degrees
Help quick plz i will make you a brainllest
Answer: B
Step-by-step explanation:
LJ should corresponds with RQ but it should correspond with PR.
Answer:
B
Segment LJ and Segment RQ
Step-by-step explanation:
look at the congruence statement
JKL≅PQR
as you can see, they do not correspond with one another
and all the other statements are pairs or congruent/corresponding parts
Given the equation 2x² - 5x + 7 = 0. Find the discriminant. Describe the roots and explain your reasoning.
Answer:
The discriminant of a quadratic equation is a parameter that is used to determine the nature of the roots of the equation. The discriminant can be determined by b2- 4ac. In this case, upon substitution, 25- 4*2*7 = -31 in which the roots are negative and iimaginary.
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Step-by-step explanation:
Answer:
The discriminant is -31.
Step-by-step explanation:
The discriminant of an equation is b^2 - 4ac. In this case, a = 2, b = -5, and c = 7.
(-5)^2 - (4 * 2 * 7) = 25 - (8 * 7) = 25 - 56 = -31. Because the discriminant is negative, it is less than 0. That means that there is no real solution.
Hope this helps!
Please help me if you can thanks
Step-by-step explanation:
a, 3
b,
draw lines through the corresponding corners of each shape These lines will cross at the centre of enlargement O
Adding to "undo" subtraction and subtracting to "undo" addition are both examples of using inverse operations to solve equations. Think of another pair of inverse operations in mathematics. How do these inverse operations "undo" each other?
Answer:
see below
Step-by-step explanation:
Multiplication and division are also inverse operations
15 * 10 = 150
150 ÷10 = 15
Divide 150 by 10 and we get 15 back
The division undoes the multiplication
This also works in reverse
150 ÷ 10 = 15
15*10 =150
The multiplication undoes the division
which shape is a parallelogram?
Answer:
A,C,and D are parralelograms
The parallelogram are shapes with figures having opposite sides which are parallel
What is a Parallelogram?A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure
The sum of angles of a parallelogram is 360°
The four types are parallelograms, squares, rectangles, and rhombuses
Properties of Parallelogram
Opposite sides are parallel
Opposite sides are congruent
Opposite angles are congruent.
Same-Side interior angles (consecutive angles) are supplementary
Each diagonal of a parallelogram separates it into two congruent triangles
The diagonals of a parallelogram bisect each other
Given data ,
Let the parallelogram be represented as ABCD
Now , from the figure 1
a)
The figure is having opposite sides are parallel
where AB = CD
And , BC = AD
So , it is a parallelogram
b)
The figure does not have any sides parallel
So , it is not a parallelogram
c)
The shape is having 2 sides as parallel
And , AB = CD
So , it is a parallelogram
d)
The shape is having 2 sides as parallel
And , AB = CD
So , it is a parallelogram
Hence , the parallelogram is solved
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What is 1 plus 2 plus 3.... plus 200?
Answer:
20100
Step-by-step explanation:
There are 200 numbers in this addition problem. To add this, we can do 1 + 200, 2 + 199, 3 + 198 and so on. All of these pairs have a sum of 201 and since there are 200 / 2 = 100 pairs the answer is 201 * 100 = 20100.
Answer: 206
Step-by-step explanation:
HELP PLEASEEE 9th Grade Geometry
Step-by-step explanation:
AD ≅ BC, Given
∠BCD ≅ ∠ADC, Given
CD ≅ CD, Reflexive property
ΔBCD ≅ ΔADC, SAS congruence
∠BDC ≅ ∠ACD, CPCTC
ΔECD is an isosceles triangle, definition of isosceles
DE ≅ CE, properties of isosceles triangles
[tex]5x^{2} - 15x-4=0[/tex]
completing the square
Answer:
x = 3/2 ± √(61/20)Step-by-step explanation:
5x² - 15x - 4 = 0
Add 4 to both sides.
5x² - 15x = 4
The coefficient of 5x² is 5, divide both sides by 5.
x² - 3x = 4/5
The coefficient of -3x is -3. Let b=-3.
Then we need to add (b/2)^2=9/4 to both sides to complete the square.
Add 9/4 to both sides.
x² - 3x + 9/4 = 61/20
Factor left side.
(x-3/2)² = 61/20
Take square root of both sides.
x-3/2 = ± √(61/20)
Add 3/2 to both sides.
x = 3/2 ± √(61/20)
Help please on linear math
Answer:
D
Step-by-step explanation:
[tex]y=\frac{-9x-5}{-8}[/tex]
factoring out a negative[tex]y=\frac{9x+5}{8}[/tex]
Answer:
[tex] \frac{5}{8} [/tex]Option D is the correct option.
Step-by-step explanation:
Given that
9x - 8y = 0
finding y-intercept
put x = 0 , we get
9(0) - 8y + 5 = 0
Calculate the product
-8y + 5 = 0
Move the constant to L.H.S and change its sign
-8y = 0 - 5
Calculate the difference
-8y = -5
divide both sides of the equation by -8
-8y/-8 = -5/-8
Calculate
y = 5/8
Hope this helps...
Good luck on your assignment...
question 24 PLEASE HELP Write the equation 22x-2y=-12 in slope-intercept form
Answer:
y=11x+6
Step-by-step explanation:
Simplify: 22x-2y=-12
22x-2y=-12
-22x
-2y=-22x=-12
/-2
y=11x-6
Which of the following statements are true about authorized direct payments: (select all that apply)
a: It can be easy to forget what gets paid each month and when and make sure you have enough money in your checking account to cover automatic payments
b: Banks make many mistakes while processing these types of withdrawals
c: It is convenient
d: Automatic payment plans can be set up in a matter of minutes. But stopping them can be much more difficult. Sometimes you have to notify your bank and your merchant, and you may even need to do it in writing.
e: It is very expensive to enroll into automatic bill payment.
f: Once you enroll into automatic bill payment, you have to authorize direct deposits to your account on regular basis.
Answer:
b c d
Step-by-step explanation:
The statements b c d is true about the direct payments.
We have given that statement,
a: It can be easy to forget what gets paid each month and when and make sure you have enough money in your checking account to cover automatic payments
b: Banks make many mistakes while processing these types of withdrawals
c: It is convenient
d: Automatic payment plans can be set up in a matter of minutes. But stopping them can be much more difficult. Sometimes you have to notify your bank and your merchant, and you may even need to do it in writing.
e: It is very expensive to enroll in automatic bill payments.
f: Once you enroll in automatic bill payment, you have to authorize direct deposits to your account on regular basis.
What are the direct payments?Direct payments are local Health and Social Care (HSC) Trust payments for people who have been assessed as needing help from social services. And, who would like to arrange and pay for their own care and support service instead of receiving them directly from the local trust.
Therefore the statements b c d is true about the direct payments.
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Help me cuh what are the period and vertical shift of the cosecant function below?
Answer:
Period: 2pi vertical shift: 2 units up
Step-by-step explanation:
Answer:
D. period: 4pi; vertical shift: 2 units up
Step-by-step explanation:
Just did the test right now hope this helps some of yall :)
question 1: 5 1/8 is 2/3 of what number?
question 2: what fraction of 9 3/8 is 4 3/8?
Answer:
1) [tex]7 \frac{11}{16} [/tex]
2) [tex] \frac{7}{15} [/tex]
Step-by-step explanation:
1) Let's convert the mixed fraction into a improper fraction.
[tex]5\frac{1}{8} \\ = \frac{5(8) + 1}{8} \\ = \frac{41}{8} [/tex]
Let the number be x.
[tex] \frac{2}{3} x = \frac{41}{8} \\ x = \frac{41}{8} \div \frac{2}{3} \\ x = \frac{41}{8} \times \frac{3}{2} \\ x = \frac{123}{6} \\ x = 7 \frac{11}{16} [/tex]
2)[tex]4 \frac{3}{8} = \frac{35}{8} [/tex]
[tex]9 \frac{3}{8} = \frac{75}{8} [/tex]
[tex]4 \frac{3}{8} \div 9 \frac{3}{8} \\ = \frac{35}{8} \div \frac{75}{8} \\ = \frac{35}{8} \times \frac{8}{75} \\ = \frac{7}{15} [/tex]