Answer:
17Step-by-step explanation:
The number of terms:
2020 - 2004 = 16Each term is greater than 1, so the expression is greater than 16:
2150/2005 = 1 + 145/20052150/2006 = 1 + 144/2006...2150/2020 = 1 + 130/2020It's easy to note each of the numbers getting smaller like 145/2005 > 144/2006 etc. Taking the smallest fraction.
The sum is:
S > 16 + 16*130/2020 = 16 + 2080/2020 > 16 + 1 = 17So the largest integer not greater than S is 17.
4.
Solve the equation by completing the square. Round to the nearest hundredth if necessary. 4x2 + 8x – 32 = 0
A. 2.65, 3
B. 2, –4
C. 2, –10
D. –52, 44
Answer:
x = 2, -4
Step-by-step explanation:
4x^2 + 8x – 32 = 0
Divide by 4
x^2 + 2x – 8 = 0
Add 8 to each side
x^2 + 2x = 8
Take the coefficient of x
2
Divide by 2
2/2 =1
Square it
1^2=1
Add it to each side
x^2+2x+1 = 8+1
(x+1)^2 = 9
Take the square root of each side
sqrt((x+1)^2) = ±sqrt(9)
x+1 = ±3
Subtract 1 from each side
x = -1±3
x = -1+3, -1-3
x = 2, -4
Answer:
B
Step-by-step explanation:
Given
4x² + 8x - 32 = 0 ( divide through by 4 )
x² + 2x - 8 = 0 ( add 8 to both sides )
x² + 2x = 8
To complete the square
add ( half the coefficient of the x- term)² to both sides
x² + 2(1)x + 1 = 8 + 1
(x + 1)² = 9 ( take the square root of both sides )
x + 1 = ± [tex]\sqrt{9}[/tex] = ± 3 ( subtract 1 from both sides )
x = - 1 ± 3
Then
x = - 1 + 3 = 2
x = - 1 - 3 = - 4
simplify (b^4)^3 because the nun of the answers answer my question
Answer:
b^12
Step-by-step explanation:
(b^4)^3
We know that x^y^z = x^(y*z)
b^4^3 = b^*4*3) = b^12
Franco made a dozen muffins for his party upon taking them out he noticed two of the muffins were badly burned Franco served 7/
10 of the remaining muffins which Equation shows the fraction of the non-burned muffins that remain.
Total muffins = 12
Burned muffins = 2
not burned = 10
Total served = 7/10
= 7 muffins
So
10 - 7/10
3 unburned muffins left
Fraction = 3/10
Must click thanks and mark brainliest
C = (5,6) and D = (2,2)
CD = [ ? ]
HINT: Use the distance formula:
d = (x2 – Xı)2 + (y2 - Yı)2
Answer:
5
Step-by-step explanation:
[tex]\sqrt{(2-5)^2+(2-6)^2} = \sqrt{(-3)^2+(-4)^2} = \sqrt{(9+16)} = \sqrt{25} = 5[/tex]
find x,y in the following pictures
Answer:
not detectable
Step-by-step explanation:
Firstly the question is not clear and the second thing is that the given information don't seem to be enough for calculation
Write a linear equation that goes through the points (-8,-1) and (-6,5) with a
y-intercept of 23.
Someone help pleasee
Answer: 2
Step-by-step explanation: if you use a calculator or you could use paper and pencil write out the expression and you should get 2
Use the circle to represent the following situation and show how you came up with the answer.
For lunch, you stop at a Pizza Express, where they sell pizza whole or by the slice. The area of one slice of a 16" pizza is 33.49in².
✏️ What angle does one slice make?
Answer:
Step-by-step explanation:
Solving just for X. Please help and thank you:)
3. Write y = x2 - 4x + 6 in vertex form.
A. y = (x - 2)2 + 2
B. y = (x + 2)2 - 2
C. y = (x + 2)2 - 4
D. y = (x - 2)2 + 4
Answer:
A.
[tex]y = (x - 2 {)}^{2} + 2[/tex]
Step-by-step explanation:
[tex]y = {x}^{2} - 4x + 6[/tex]
[tex] = y + 4 = {x}^{2} - 4x + 4 + 6[/tex]
[tex] = y + 4 = (x - 2 {)}^{2} + 6[/tex]
[tex] = y = (x - 2 {)}^{2} + 6 - 4[/tex]
[tex] = y = (x - 2 {)}^{2} + 2[/tex]
Can all polynomials be factored the same way? Why or why not?
Answer:
No, they cannot. Some polynomials are different than others and can be factored in different ways. Some can't even be factored at all.
Perfect Square Trinomials have a pattern with factoring and can be written as one binomial squared.
Difference of Squares has a pattern of (x - y)(x + y).
Difference/Sum of Cubes have formulas for their patterns.
Prime Polynomials simply cannot be factored.
Step-by-step explanation:
Brainliest, please! (Almost an Ace)
nick was scuba diving at -32 1/2 feet if he descends another 8 3/5 feet what is his location ?
Answer:
-41 1/10
Step-by-step explanation:
subtract the two numbers may i get brainliest plz
This is a really simple fraction problem. All we have to do is realize that, because he is descending, the [tex]8\frac{3}{5}[/tex] is actually negative, so we get [tex]-32\frac{1}{2}-8\frac{3}{5}=-41\frac{1}{10}[/tex] which can also equal -41.1
what is the answer? I need help!! please and thank you
Answer:
B
Step-by-step explanation:
27%=0.27 and sqrt(2)<2.75
how to multiple 90km/h x 1h 30min
a store charges 25 cents for each ruler and 5 cents for each penicl that it sells. if sarah bought r, rulers and p penicls from the store, which of the following repersents the amount, in cents, that the store charged her?
Answer:
Total=(0.25(p))+(0.05(r))
replace the letter value with the # of items and solve using equation
If a change dispenser contains 32 coins consisting of
only dimes and quarters worth $5.15, how many
dimes are in the dispenser?
=================================================
Work Shown:
d = number of dimes
q = 32-d = number of quarters
$5.15 = 515 cents
10d+25q = 515
10d+25(32-d) = 515
10d+800-25d = 515
-15d+800 = 515
-15d = 515-800
-15d = -285
d = -285/(-15)
d = 19
There are 19 dimes. You can stop here if you want.
q = 32-d = 32-19 = 13
There are 13 quarters
-------------------------------
Check:
1 dime = 10 cents
19 dimes = 19*10 = 190 cents
1 quarter = 25 cents
13 quarters = 13*25 = 325 cents
total value = 190 cents + 325 cents = 515 cents = $5.15
The answer is confirmed.
What is the measure of angle x?
Answer:
93+52+x=180(sum of angels of a triangle)
145+x=180
x=180-145
x=35
Answer:
D. 35
Step-by-step explanation
Every triangle equals to 180 degrees
Add the 2 angles, 93 and 52 which equals 145
Now subtract 180 and 145
Therefore, you should get 35
The sporting goods store sells 6 different brands of tennis rackets and 4 different brands of tennis balls. If Amanda buys one brand of tennis racket and one brand of tennis balls, how many different combinations of brands can she buy ?
10
12
16
24
Answer:
24
Step-by-step explanation:
There are 6 different types of rackets and 4 different types of balls.
To determine the number of different combinations
6 rackets * 4 balls
24 combinations
Answer:
24
Step-by-step explanation:
If x/y + y/x =2, Then 4x-4y-4 = ? ( Please show with full process and don't spam )
[tex]\\ \sf\longmapsto \dfrac{x}{y}+\dfrac{y}{x}=2[/tex]
[tex]\\ \sf\longmapsto \dfrac{x^2+y^2}{xy}=2[/tex]
[tex]\\ \sf\longmapsto x^2+y^2=2xy[/tex]
[tex]\\ \sf\longmapsto x^2+y^2-2xy=0[/tex]
[tex]\boxed{\sf (a-b)^2=a^2-2ab+b^2}[/tex]
[tex]\\ \sf\longmapsto (x-y)^2=0[/tex]
[tex]\\ \sf\longmapsto x-y=\sqrt{0}[/tex]
[tex]\\ \sf\longmapsto x-y=0[/tex]
Now
[tex]\\ \sf\longmapsto 4x-4y-4[/tex]
take 4common[tex]\\ \sf\longmapsto 4(x-y-4)[/tex]
Put the value[tex]\\ \sf\longmapsto 4(0-4)[/tex]
[tex]\\ \sf\longmapsto 4(-4)[/tex]
[tex]\\ \sf\longmapsto -16[/tex]
In the number 9663 which places contain digits where one dogit is 10 times as great as the other?
Answer: Hundreds and tens place values (the two copies of '6')
Explanation:
We're looking for where the digits are the same, which would be those two copies of '6'
The first 6 on the left is in the hundreds place. It represents 600
The other 6 is in the tens place, and it represents 60
The jump from 60 to 600 is "times 10".
If x +5 = 2b, find 2x + 10 in terms of b.
Answer:
2x+10=4b
Step-by-step explanation:
If you look at the previous equation, you will notice that
x*2 = 2x and
5*2 = 10.
So now all you need to do is also multiply the right side of the equation with b by 2, just like you did to the left side, and you'll get
2x+10 = 4b.
I hope this helped! :D
Answer:
2x + 10 = 4b
Step-by-step explanation:
Given
x + 5 = 2b ( multiply through by 2 )
2x + 10 = 4b
The cardinality of the set of positive integer is infinity. (True or False)
Answer:
It is false, because infinity is not a cardinality. The set N of positive integers is infinite and its cardinality is, if you wish, ℵ0 , the smallest infinite cardinal number, at least in an axiomatic set theory. A set S is infinite if and only if there exists a bijection between S and a proper subset of S , i.e. a subset of S different from S . Now the successor function s:N→N∗ is such a bijection; this follows from Peano’s axioms for arithmetic.
Answer: false
please click thanks and mark brainliest if you like :)
What is the value of x?
Answer:
The triangles are similar, therefore the ratio of 2:1 is constant for all sides as shown in 20:10.
Therefore, x is 14.
solve for x. you must show all of your work to receive credit.
Answer:
x = 6
Step-by-step explanation:
The tangent- tangent angle WVU is half the difference of the measure of the intercepted arcs. , that is
5x + 17 = [tex]\frac{1}{2}[/tex] (37x + 5 - (23x - 5) )
5x + 17 = [tex]\frac{1}{2}[/tex] (37x + 5 - 23x + 5)
5x + 17 = [tex]\frac{1}{2}[/tex] (14x + 10) ← multiply both sides by 2 to clear the fraction )
10x + 34 = 14x + 10 ( subtract 14x from both sides )
- 4x + 34 = 10 ( subtract 34 from both sides )
- 4x = - 24 ( divide both sides by - 4 )
x = 6
Which expression is equivalent to 5/2?
Answer:
B
Step-by-step explanation:
5 divided by 2 is 5/2
Answer:
B
Step-by-step explanation:
5/2 the (/) is the divide sign
Hailey is making pizzas for a pizza party. Each pizza requires 1/2 pound of cheese. How many pounds of cheese does she need to make 19 pizzas? Express your answer in simplest form.
Cheese required for 1 pizza = ½ pound
So, cheese required for 19 pizzas
= 19 × ½ pounds
= 19/2 pounds
= 9½ pounds
So, Hailey needs 9½ pounds of cheese to make 19 pizzas.
The solution is 9.5 pounds
The number of pounds of cheese Hailey need to make 19 pizzas is 9.5 pounds
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number of pounds of cheese for 19 pizzas be A
Now , the equation will be
The number of pounds of cheese for 1 pizza = 1/2 pounds
So , the number of pounds of cheese for 19 pizzas = 19 x number of pounds of cheese for 1 pizza
Substituting the values in the equation , we get
The number of pounds of cheese for 19 pizzas = 19 x ( 1/2 )
The number of pounds of cheese for 19 pizzas = 19/2
The number of pounds of cheese for 19 pizzas = 9.5 pounds
Therefore , the value of A is 9.5 pounds
Hence , the number of pounds of cheese is 9.5 pounds
To learn more about equations click :
https://brainly.com/question/19297665
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What is the y intercept of the given graph?
Answer:
The answer would be -2.
Step-by-step explanation:You have to look at where the line is hitting.It has to be perfectly on the corners of the square. The bottom of the y-intercept is always negative and the top is always positive but for the x-intercept the right side is positive and the left side is negative. I hope that helped you!!
Does the alligator eat 14/7 or 2/4
Answer:
Wait, I'm confused what?
Step-by-step explanation:
I don't think this provides enough info, is there a picture you forgot to send?
I need help ASAP!!! Please explain your answer
Answer:
below
Step-by-step explanation:
Use the formula πr^2h to find volume of a cylinder
= π(11)^2(12)
= 4561.59253...
Rounding to the nearest 10th
= 4561.6 mi^3
Hope this helps!
Answer:
Step-by-step explanation:
Volume = pi * r^2 * h
r = 11
h = 12
Volume = pi * 11^2 * 12
Volume = 3.14 * 121 * 12
Volume = 4501.2 mi^3
I need help ASAP!! Please explain how to solve the problem
Answer:
Surface area=114 cm^2
Step-by-step explanation:
Surface area of a cuboid is given be 2(lb+bh+lh). ATQ, l=3, h=3, b=8. Plugging them into the formula, we will get surface area=114 cm^2
