Answer:
Correct answer:
To find the diagonal length of the cube, we use the distance formula d=√(32+32+32 )=√(3*32 )=3√3, and then divide the result by 2 to find the radius of the sphere, (3√3)/2.
What is Limit of StartFraction x cubed minus 1 Over x minus 1 EndFraction as x approaches 1? 0 1 3 DNE
Answer:
D.
(DNE)
Step-by-step explanation:
when you plug in 1 to the denominator, 1 minus 1 becomes 0. a fraction with 0 as the denominator does not exist.
The limit of the function f(x)=[tex]x^{3}-1[/tex]/x-1 as x approaches 1 is 3.
What is limit?Limit is the value that a function approaches as the value of variable approaches some value. They are essential to calculas and mathematical analysis and are use to define continuity , derivatives and integrals. It can change value of function at different values of x.
How to find limit?We have been given a function f(x)=[tex]x^{3}-1[/tex]/x-1 and we have to find the limit of function.
F(x)=[tex]x^{3} -1[/tex] /(x-1) [[tex]x^{3} -y^{3} =x^{2} +y^{2} +xy[/tex]]
[tex]\lim_{x \to \0}x^{3}-1/x-1[/tex]
[tex]\lim_{x \to \0} (x-1)(x^{2} +1+x)[/tex]/x-1
[tex]\lim_{x \to \0} x^{2} +x+1[/tex]
change limit by putting x=1-h
[tex]\lim_{h \to \0} (1-h)^{2} +1+1-h[/tex]
Put the value of h=0.
=1+1+1
=3
Hence the limit of the function [tex]x^{3}-1/x-1[/tex] is 3.
Learn more about limits at https://brainly.com/question/27517662
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4x - 6 + x + 3
ASAP BRAINLIEST
Answer:
5x - 3
Step-by-step explanation:
Add like terms: (4x + x) + (-6 + 3) = 5x - 3
Answer:
3x-3
Step-by-step explanation:
combine like terms, 4x-x=3x and -6+3=-3
10.
Complete.
y^2 + 15y + 56 = (y + 7)(y + )
A. 8
B. –7
C. –8
D. 7
Answer:
I would go with letter B. -7
Step-by-step explanation:
The two factors of a quadratic equation can be multiplied to form the original equation. Let the missing term be a:
y² + 15y + 56 = (y + 7)(y + a)
y² + 15y + 56 = y² + (7 + a)y + 7a
...............................................................................................................................................
Step by Step Solution
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Reformatting the input :
Changes made to your input should not affect the solution:
Step by step solution :
STEP 1 :
Trying to factor by splitting the middle term
1.1 Factoring y2+14y+49
The first term is, y2 its coefficient is 1 .
The middle term is, +14y its coefficient is 14 .
The last term, "the constant", is +49
Step-1 : Multiply the coefficient of the first term by the constant 1 • 49 = 49
Step-2 : Find two factors of 49 whose sum equals the coefficient of the middle term, which is 14 .
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, 7 and 7
y2 + 7y + 7y + 49
Step-4 : Add up the first 2 terms, pulling out like factors :
y • (y+7)
Add up the last 2 terms, pulling out common factors :
7 • (y+7)
Step-5 : Add up the four terms of step 4 :
(y+7) • (y+7)
The solution is:
y = -7
The solution is:
y = -14 / 2 = -7
A parallelogram has a top edge with measure 67 and a left edge with measure 60 feet. a dashed segment measures 52 feet with an endpoint on the upper left vertex and perpendicular to the bottom edge of the parallelogram.
Can someone plz help me on this plz I beg u
Answer:
A) 6"
Step-by-step explanation:
set up a proportion then cross-multiply:
1"/4.5' = x/27'
4.5x = 27
x = 27/4.5
x = 6"
What is the explicit formula for this arithmetic sequence?
-11, -18, -25, -32, ...
Answer:
-7
Step-by-step explanation:
If you look at the first number,count how many in between the next number and the one after that.
Determine the center and radius of the following circle equation:
x2 + y2 – 10x + 8y + 40 = 0
Answer:
The center of this circle is (5, -4) and the radius is 1.
Step-by-step explanation:
First regroup these terms according to x and y :
x^2 - 10x + y^2 + 8y = -40
Next, complete the square for x^2 - 10x: x^2 - 10x + 5^2 - 5^2.
and the same for y^2 + 8y: y^2 + 8y + 16 - 16
Substituting these results into x^2 - 10x + y^2 + 8y = -40, we get:
x^2 - 10x + 5^2 - 5^2 y^2 + 8y + 16 - 16 = -40.
Next, rewrite x^2 - 10x + 25 and y^2 + 8y + 16 as squares of binomials:
Then x^2 - 10x + 5^2 - 5^2 y^2 + 8y + 16 - 16 = -40 becomes:
(x - 5)^2 + (y + 4)^2 - 25 - 16 = -40, or:
(x - 5)^2 + (y + 4)^2 = 1
This equation has the form (x - h)^2 + (y - k)^2 = r^2, where (h, k) is the center and r is the radius. Matching like terms, we get h = 5, k = -4 and r = 1.
The center of this circle is (5, -4) and the radius is 1.
Answer:
Center (5,-4) Radius = 1
Step-by-step explanation:
Put it in the form of the standard circle equation after dividing everything by 2. (-10x/2=-5x) (8y/2=4y) Since the radius wasn't given, it's just going to be a 1.
(x-5)^2+y(-(-4))^2 = 1^2
Hence, center (5, -4) and radius 1.
Find the total number of unit cubes that fill the entire prism.
What can the answer be?
Answer:
35
Step-by-step explanation:
Trust me. The two triangles are equivalent, so 90+55=145
180-145=35
A person's blood type is denoted with the letters A, B, and O, and the symbols + and - . The blood type A+ is read as A positive. The blood type B - is read as B negative. Use the data to write a ratio for the comparison in 3 different ways.
Answer:
(a) O+ to A+
[tex]O+:A+=90:45[/tex]
[tex]O+:A+=18:9[/tex]
[tex]O+:A+=2:1[/tex]
(b) AB- : AB+
[tex]AB-:AB+ = 6:4[/tex]
[tex]AB-:AB+ = 3:2[/tex]
[tex]AB-:AB+ = 12:8[/tex]
(c): B+ to total
[tex]B+ : Total = 20 : 195[/tex]
[tex]B+ : Total = 4 : 39[/tex]
[tex]B+ : Total = 40 : 390[/tex]
Step-by-step explanation:
Given
[tex]A+ = 45[/tex] [tex]B+ = 20[/tex] [tex]AB+ =6[/tex] [tex]O+=90[/tex]
[tex]A-=21[/tex] [tex]B-=0[/tex] [tex]AB-=4[/tex] [tex]O-=9[/tex]
[tex]Total = 195[/tex]
See attachment
Required
Solving (a): O+ to A+
We have:
[tex]A+ = 45[/tex]
[tex]O+=90[/tex]
So, the ratio is:
[tex]O+:A+=90:45[/tex] ---- first comparison
Divide by 5
[tex]O+:A+=90/5:45/5[/tex]
[tex]O+:A+=18:9[/tex] ---- Second comparison
Divide by 45
[tex]O+:A+=90/45:45/45[/tex]
[tex]O+:A+=2:1[/tex] ---- Third comparison
Solving (b): AB- to AB+
We have:
[tex]AB+ =6[/tex]
[tex]AB-=4[/tex]
So, the ratio is:
[tex]AB-:AB+ = 6:4[/tex] ---- first comparison
Divide by 2
[tex]AB-:AB+ = 6/2:4/2[/tex]
[tex]AB-:AB+ = 3:2[/tex] ---- Second comparison
Multiply by 2
[tex]AB-:AB+ = 6*2:4*2[/tex]
[tex]AB-:AB+ = 12:8[/tex] ---- Third comparison
Solving (c): B+ to total
We have:
[tex]B+ = 20[/tex]
[tex]Total = 195[/tex]
So, the ratio is:
[tex]B+ : Total = 20 : 195[/tex] ---- first comparison
Divide by 5
[tex]B+ : Total = 20/5 : 195/5[/tex]
[tex]B+ : Total = 4 : 39[/tex] ---- Second comparison
Multiply by 2
[tex]B+ : Total = 20*2 : 195*2[/tex]
[tex]B+ : Total = 40 : 390[/tex] ---- Third comparison
What is the numerator called in a percent problem? What is the denominator called in a percent problem ?
PLEASE I NEED HELP NOW!!!
Answer:
A percentage or percent for short is a fraction; a fraction that always has the denominator as 100. Because the denominator of a percent is always a 100, no matter what the numerator is, we replace 100 with the percent symbol % after the number. By definition, for any number x, x% = x100.
Step-by-step explanation:
A computer gererates 80 integers from 1 to 5 at random. The results are recrded in the table. What is the experimental probability of the computer generating a 2?
hello! i'll mark the best answer brainliest (:
Tatiana opens a bank account that pays interest compounded annually. Which of the following are reasonable interpretations of the expression 500(1.0325)^t in this context?
Select all that apply.
A. The account earns about 1.03% interest each year.
B. The account earns 3.25% interest each year.
C. The account earns 5% interest each year.
D. Tatiana's starting balance was $500.
E. After 1 year the account will be worth $500.
I believe the answers are A. The account earns about 1.03% interest each year. and D. Tatiana's starting balance was $500.
I hope this helps
Answer:
A and E
Step-by-step explanation:
Please help ASAP
1.
Three times a number equals 40 more than five times the number what is the number
2.
A number equals four less than three times the number what is the number?
Answer:
Step-by-step explanation:
A soda company spends $1200 per day on business expenses plus $1.10 per bottle.
They charge $2.50 for each bottle of soda they produce. How many bottles of soda
must the company sell in one day in order to equal its daily costs?
Answer: Hi
Step-by-step explanation:
Cost Price per bottle : $1.10
Selling price per bottle : $2.50
2.50 - 1.10 = 1.40
$1200=1.40B
B=858
The company must sell 858 Soda´s in order to equal it daily cost.
Hope this help. Be safe
Question 20 *
The principal of a school will distribute money from the school's budget to three sports:
cricket, track and field, and netball in the ratio 4:3:2. If the total budget for the three
sports is $1.800.000, how much money will go to netball?
$200,000
B. $400.000
C. $600,000
D. $900.000
А
B
C
Answer:
B
Step-by-step explanation:
2/9th of the money does to netball
2/9 of 1800 is 400
Answer:b
Step-by-step explanation:
Which statement about the number 726,483.19 is true?
Answer:
It is a number with 6 whole numbers and 2 decimals, Its a Hundred thousand number
Step-by-step explanation:
im doing my i-ready but ion know the answer
Find the length of the missing side b
Answer:
20 use Pythagorean theorem
Step-by-step explanation:
Find the area of a square with a length of 3.5 centimeter
Answer:
12.25 cm²
Step-by-step explanation:
(3.5 cm)² = 12.25 cm²
describe the error found in m<1
Answer:
The sum of all angles should be 180°
Step-by-step explanation:
Sum of all angles in a triangle = 180°
115° + 39° = 154°
180° - 154° = 26°
The student found 206°, lets add 206° to 154° and see what we get.
206° + 154° = 360°
Prediction : The student may have forgotten that the sum of all angles in a triangle equals 180° and not 360°
Answer: The sum of all angles should be 180°
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
As shown in the figure below, Mary is looking at a tree that is leaning at an angle of 84º with respect to the ground. The angle
of elevation from where Mary is standing to the top of the tree is 49º. The length of the tree is 55 feet. Find the distance, x,
from Mary to the base of the tree. Round your answer to the nearest tenth of a foot.
55 ft
I feet
Х
?
84
49°
Х.
Answer:
r his
Step-by-step explanation:rfrfrefeffrefeferfeferfe
Can someone help me out the first one, please! Also ignored what I wrote in the paper.
Here is a equation find x. (Please help this is due in 30 minutes!!)
-3x+7=1
Answer:
the answer is 2
-3x+7=1 x=2
PLS HELP I DONT KNOW IT
Answer:
D
Step-by-step explanation:
Since the side length of the square is (2x+5), and squares have equal sides, then you have to do (2x+5)(2x+5). You would get 4x^2+20x+25. That means the answer is D.
Hope this helped!! :D
A pet store has 52 freshwater fish. Of all the fish in the store, 80% are freshwater fish. How many fish does the store have in all
plz help me understand this question thankyou
Answer:
The mistakes were on points C and D
Step-by-step explanation:
Point C was graphed on (5,8) when it's supposed to be plotted on (5,7). Point D was on (-3,-4) but was supposed to be on (-4,-3?
Answer:
The mistakes are Point C and D
Please help brainiest to correct answer pls show work if you can
Answer:
x= 5
the length = 13 meters
the width = 7 meters
Step-by-step explanation:
(2x+3)(x+2)=91
2x²+7x+6=91
2x²+7x-85=0
(2x+17)(x-5) =0
x=-17/2 or x = 5
the length = 2(5)+3= 13 meters
the width = 5+2 = 7 meters
USING SIMILAR TRIANGLES IN INDIRECT MEASUREMENT If the shadow of a tree is 14 m long and the shadow of a person who is 1.8 m tall is 4 m long, how tall is the tree? Which of the following proportions could not be used to solve the problem? 14/1.8 = x/4 x/1.8 = 14/4 x/14 = 1.8/4
Answer:
14/1.8 = x/4
Step-by-step explanation:
Using similar triangles,
height of man/length of man's shadow = height of tree/length of tree's shadow
1.8/4 = x/14
x/14 = 1.8/4
If we cross-multiply, we have
1.8 × 14 = x × 4
dividing both sides by 4 and 1.8,we have
14/4 = x/1.8
x/1.8 = 14/4
So, the two expressions we have are
x/14 = 1.8/4 and x/1.8 = 14/4.
So, the answer is 14/1.8 = x/4 since the product 1.8 × 14 = x × 4 cannot be expressed in the given ratio.
What is the slope of the line that passes through the points (5, 1) and (2, -7)?
Answer:
8/3
Step-by-step explanation:
We need to find the slope of the line that passes through points , (5,1) and (2,-7) . We can find the slope as ,
=> m = y₁ - y₂/ x ₁ - x ₂
=> m = -7 - 1 / 2 - 5
=> m = -8/-3
=> m = 8/3
Hence the slope of the line is 8/3 .