Answer:
Equation A is true; Equation B is not
Step-by-step explanation:
There is a standard formula for the "difference of cubes" that is:
x^3 - y^3 = (x - y)(x^2 + xy + y^2)
and this perfectly matches equation A.
Equation B has the square of n (n^2) on the left side but not on the right side. Thus this is not an identity.
Convert the 7pi/5 to a degree measure
A=252
B=504
C=792
D=75
Answer:
252
Step-by-step explanation:
The conversion factor is
180/pi
7pi/5 * 180/pi = 7 *180/5 = 252 degrees
Write an equation in slope-intercept form for the line the road will follow. (The road is the dashed line.)
Answer:
x=6
Step-by-step explanation:
The crocodile river is y = 4
The road will intersect at ( 6,4)
We have two points on the line
(6,7) and (6,4)
The slope is
m = (y2-y1)/(x2-x1)
= (4-7)/ (6-6)
= -3/0
The slope is undefined
That means the equation is in the form
x=
Since the x coordinate is 6
x=6
Three pieces of wood measure 20 cm, 41 cm, 44 cm. If the same amount is cut off each piece, the remaining length can be formed into a right triangle. What is the length that is cut off?
The length that can be cut off from the three given pieces of wood equally to form a right triangle is 5 cm
Given parameters:
dimension of the three pieces of wood = 20 cm, 41 cm and 44 cm
To find:
the length that is cut off to form a right trianglelet the length that is cut off from each of the wood = y
From Pythagoras theorem, we will have the following equation.
[tex](44-y)^2 = (20-y)^2 + (41-y)^2\\\\expand \ the \ equation \ as \ follows;\\\\1936 - 88y + y^2 = 400 - 40y + y^2 + 1681 - 82y + y^2\\\\simplify \ by \ collecting \ similar \ terms \ together\\\\(1936 - 400- 1681) + (-88y + 40y+ 82y) + (y^2 - 2y^2) = 0\\\\-145 +34y - y^2 = 0\\\\multiply \ through \ by \ (-1)\\\\y^2-34y + 145 = 0\\\\factorize \ the \ above \ quadratic\ equation\\\\y^2 -5y - 29y + 145 = 0\\\\y(y - 5) -29(y - 5)=0 \\\\(y -5)(y-29) = 0\\\\y = 5 \ \ \ or \ \ \ \ y = 29[/tex]
Since the least measurement of one of the pieces of the wood is 20 cm, we cannot cut off 29 cm.
Thus, the highest amount we can cut off equally is 5 cm
learn more here: https://brainly.com/question/15808950
Write a verbal expression for 5x cubed + 2
Answer:
2 added to cube of 5 times x
Step-by-step explanation:
Answer:
2 plus cube 5 times.
cube = (³).
times = (multiplying).
A jazz band wants to sell $6,558 worth of tickets. If each ticket costs $6, how many tickets will the band have to sell to meet its goal?
Answer:
1093 tickets
Step-by-step explanation:
Take the total amount and divide by the amount per ticket to determine the number of tickets
6558/6
1093 tickets
Answer:
The band have to sell 1093 Ticket to meet its goal
Step-by-step explanation:
Total cost = $6,558
Per Ticket cost =$6
formula:
No of Tickets = Total cost of Ticket ÷ Per Ticket Cost
= 6558 ÷ 6
No of Tickets = 1093
Check:
Total Cost = No of Ticket × Per ticket cost
= 1093 × 6
Total Cost =$6558
5. Name the property of real numbers illustrated by the equation. (-2)(3 + ) = (-2)( + 3)
Answer:
Commutative property
Step-by-step explanation:
You can switch the places of -2 and 3 without changing the output.
This property is called the commutative property
Please help!! Which transformations would result in a geometric figure that is exactly the same size and shape as triangle DEF? Check all that apply.
Answer:
A, B, C
Step-by-step explanation:
none of the 4 options changes the shape.
but D changes the size.
C is the only one that also maintains the orientation of the triangle - it only shifts its position.
A and B maintain size and shape, but they do change its orientation.
11 Points Estimate the average by first rounding to the nearest 1,000: 1,000 2,300 2,600
Answer:
Average = 2000
Step-by-step explanation:
Given numbers are:
1,000 2,300 2,600
To find:
First round off the numbers to nearest 1000 and then find Average.
Solution:
1000 is already in thousands so no need to round off.
To round off a number to nearest thousand, we need check the digit on hundred's place.
If the hundred's digit is greater than 5, we increase the thousand's digit by 1 and make the hundred's digit as 0.If the hundred's digit is lesser than 5, the thousand's digit remains the same and we make the hundred's digit as 0.So, 2300 will be rounded off as 2000.
and 2600 will be rounded off as 3000.
Now, the numbers whose average is to be calculated are 1000, 2000, 3000.
Formula for average is given as:
[tex]Average = \dfrac{\text{Sum of all numbers}}{\text{Count of numbers}}[/tex]
applying the formula:
[tex]Average = \dfrac{1000+2000+3000}{3}\\\Rightarrow Average = \dfrac{6000}{3}\\\Rightarrow \bold{Average = 2000}[/tex]
So, the average after rounding off to nearest 1000 is 2000.
find the surface of each figure. Round your answer to the nearest tenth.
Answer:
282.7 ft^2
Step-by-step explanation:
Surface area=2*pi*r(r+h)
2*pi*3*(15)=282.7 ft^2
Hey there!
I believe your answer would be 282.7.
The formula should be 2πrh+2πr^2. So, 2·π·3·12+2·π·3^2.
Round the answer to the nearest tenth, and you will get 282.7!
Hope this helps!
Have a great day!
what means by this*
Answer:
star or asterisk if you are talking about (*)
Answer:
(*) is similar to (×)
and it means multiply
Please answer this question now
Answer:
200 cm³ is the volume of the pyramid
Answer:
200 cubic centimeters
Step-by-step explanation:
l = length = 10 cm
w = width = 10 cm
h = height = 6cm
V = lwh / 3
= 10 * 10 * 6 / 3
= 100 * 6 / 3
= 600 /3
= 200 cubic cm
Hope this helps! Tell me if I am incorrect!
4x +16 x+4
Simplify your answer as much as possible.
Answer:
20x+4
Step-by-step explanation:
How many and of which kind of roots does the equation
f(x) = x5+ 3x4 + 8x3 + 14x2 + 16x + 8 have?
A. 2 real; 3 complex
B.5 real
C. 3 real;2 complex
D.1 real;4 complex
Answer:
D. 1 real; 4 complex
Step-by-step explanation:
1. Calculate the total number of roots
The fundamental theorem of algebra states that any polynomial of degree n has n roots.
Your polynomial is fifth degree, so it has five roots.
2. Calculate the number of real roots
We can use Descartes' rule of signs to determine the number of real roots:
The number of positive real roots is the same as the number of changes in the sign of the coefficients of ƒ(x) or less than by an even number.
The number of negative real roots is the same as the number of changes in sign of the coefficients of the terms of f(-x) or less than this by an even number.
(a) Number of positive real roots
The coefficients of ƒ(x) are
+1 +3 +8 +14 +16 + 8
There are no changes of sign, so there are no positive real roots.
(b) Number of negative real roots
(i) Find f(-x)
f(-x) = -x⁵+ 3x⁴ - 8x³ + 14x² - 16x + 8
(ii) Count the changes of sign
The coefficients of f(-x) are
-1 ∥ +3 ∥ -8 ∥+14 ∥ -16 ∥ +8
There are five changes of sign.
Thus, the number of negative roots is five, three, or one.
So far, we know that we have five roots. None is positive, and there could be one, three, or five negative real roots.
3. Confirm by sketching the graph
The real roots are the points at which the graph crosses or touches the x-axis.
The graph (see below) crosses the x-axis at only one point.
Thus. we have
one real root (negative) four complex roots
II
Initial Knowledge
This morning, Leila's car had 19.79 gallons of fuel. Now, 2.8 gallons are left. How much fuel did Leila use?
Answer:
[tex]19.79 - 2.8 = 16.99gallons[/tex]
Find the equation of a line given the point and slope below. Arrange your answer in the form y = mx + b, where b is the constant. (1, 3) m = 2
Answer:
y = 2x + 1
Step-by-step explanation:
Given a point and the slope, we can plug in these values into the equation to find the value of b:
y = mx + b
3 = 2(1) + b
3 = 2 + b
1 = b
Plug b into the equation:
y = 2x + 1
Answer:
y = 2x + 1
Step-by-step explanation:
Which of the following is NOT a principle of making inferences from dependent samples? Choose the correct answer below. A. The hypothesis test and confidence interval are equivalent in the sense that they result in the same conclusion. B. The t-distribution serves as a reasonably good approximation for inferences from dependent samples. C. There is some relationship whereby each value in one sample is paired with a corresponding value in the other sample. D. Testing the null hypothesis that the mean difference equals 0 is not equivalent to determining whether the confidence interval includes 0.
Answer:
D. Testing the null hypothesis that the mean difference equals 0 is not equivalent to determining whether the confidence interval includes 0
Step-by-step explanation:
Dependent samples are samples that are related to one another.
In a hypothesis test, the hypothesis test and the confidence interval are equivalent in the sense that they result in the same conclusion.
However, in an hypothesis test , we fail to reject the null hypothesis if the rejection region is greater than the t-test statistics. It is therefore crucial to understand that if the true mean is zero. the confidence interval level for the mean of differences within the lower limit and the upper limits must contain zero , which implies the mean difference and the confidence interval are equivalent.
Jamie kept track of the total hours and minutes she worked this week at the local health food store.
Tuesday - 2 hours 30 minutes
Thursday - 5 hours
Friday - 5 hours 45 minutes
Saturday - 3 hours 15 minutes
How many decimal hours did Jamie work this week? (2 points)
A 15.90
B 16.50
C 16.90
1 hour = 60 minutes.
Convert the minutes to decimals by diving by 60
30/60 = 0.5
2 hours and 30 minutes = 2.5 hours
45/60 = 0.75
5 hours 45 minutes = 5.75 hours
15/50 = 0.25
3 hours 15 minutes = 3.25 hours
Ow add all the hours:
2.5 + 5 + 5.75 + 3.25 = 16.5 hours
Answer: B. 16.50
Helppppp me plss, I’ll mark u as brainlest
[tex] \large\color{lime}\boxed{\colorbox{black}{Answer : - }}[/tex]
We know that, in ∆ABC,
∠A+∠B+∠C = 180°
But the triangle is right angled at C
ie., ∠C = 90°
Therefore, ∠A+∠B+ 90° = 180°
⇒ ∠A + ∠B = 90°
Therefore, cos(A + B) = cos 90º = 0
Find the equation of a line given the point and slope below. (6, 6) no slope
Answer:
x = 6
Step-by-step explanation:
no slope means vertical line x = ?
Been almost an hour in a half since this question hasn’t been answered plzz !!!help as soon as possible
Answer:
Step-by-step explanation:
graph b and a is negative because it does not start at point 0 and has a straight line that passes through the origin
I need a lot of help
To add fractions with different denominators you must find the highest common factor (the highest number they both go into).
For 1 - The highest common factor is 8, 2x4 = 8, 4x2 = 8
now, whatever you do to the bottom, you must do to the top.
So:
3 x 2 = 6 and 5 x 4 = 20
Therefore, your answer would be 6/8 + 20/8
You do that for the rest of them as well, do you get it?
Answer:
3/4 + 5/2 = 3/4 + 10/4 = (3+10)/4 = 13/43. 4/15 + 4/5 = 4/15 + 12/15 = (4+12)/15 = 16/15
5. 2/3 + 7/10 = 20/30 + 21/30 = (20+21)/30 = 41/30
explain how the phrase oh heck another hour of algebra can help a student recall the trigonometric ratios
Answer:
its a mnemonic
Oh Heck Another Hour Of Algebra
(O = opposite side, H = hypotenuse ) = sine
(A = adjacent side, H = hypotenuse ) = cosine
(O = opposite side, A = adjacent ) = tangent
use logarithm tables to evaluate
the following
723.7 X 0.0667
Answer:
1.68
Step-by-step explanation:
log723.7=2.86
multiplication in log is addition so 2.86+
log0.0667=-1.18
so 2.86+-1.18=1.68
Lucy reads 450 words in 3 minutes.
This is an equation that can be used to
find w, the number of words Lucy can
read in 20 minutes if she continues to
read at the same rate?
Answer:
3000 words
Step-by-step explanation:
450 words in 3 minutes is 150 words in 1 minute. 20 minutes = 1 times 20.
1 minute = 150 words so 150 words times 20 minutes = 3000 words.
The amount of a radioactive isotope decays in half every year. The amount of the isotope can be modeled by f(x) = 346(1/2)x and f(1) = 173. What does the 1 represent?
Answer:
D
Step-by-step explanation:
i took the test and i got it right
[tex]\sqrt{\frac{4e}{3f} }[/tex]
Answer:
2√e√3√f / 3f
Step-by-step explanation:
√4√e / √3√f
2√e / √3√f * (√3√f / √3√f)
2√e√3√f / 3f
how many solutions in 3(6x-2) = 2(9x-3)
Answer:
Infinite solutions
Step-by-step explanation:
Distribute the numbers
3(6x-2) = 18x - 6
2(9x-3) = 18x - 6
18x - 6 = 18 - 6
Since both sides of the equal sign are the same, that means you can plug any number into x, and it will always be a valid answer.
Evaluate the expression when y=-6.
y^2+5y-2
Answer:
this glizzy
Step-by-step explanation:
blow this glizzy u madd u wrong answer
Answer:
4
Step-by-step explanation:
Sometimes when evaluating polynomials, it is easier if you write them in Horner form:
(y +5)y -2
For y = -6, this is ...
(-6 +5)(-6) -2 = (-1)(-6) -2 = 6 -2 = 4
The value of your expression is 4.
Mary is older than John by 5 years .If John is now X years how old is John.
Based on the relationship between Mary's age and that of John, the representation of Mary's age is (X + 5).
How old is Mary?Your question seems incomplete or not worded well so I'll give a more general response.
Mary is said to be older than John by 5 years. This means that however old John gets, Mary will always be older by 5 years.
If John is X years therefore, Mary's age will simply be:
= John's age + Age difference
= X + 5
For instance, if John is 20 years then Mary would be:
= 20 + 5
= 25 years
Find out more age related math problems at https://brainly.com/question/18915001.
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___H2 + ___Br2 → ___HBr
Answer:H2+Br2-->2HBr
Step-by-step explanation:
The amount of atoms on the left side must be equal to the amount of atoms on the right side for each element.
On the left you got 2xH and 2xBr.
This means you must have the same amount on the right.
2HBr =2xH + 2xBr