Answers
Answer:
c = 7
d = 5
Step-by-step explanation:
Notice that in the first expression, x^c is inside a square root, and only perfect squares can be extracted from it. On the simplified form shown on the right hand side, we have x^3 outside the root and a single "x" left inside. In order for such to happen (x^3 get outside the root) there must have been an x^6 inside the square root. This together with the sole "x" that was left in the root, totals seven factors of x that should have been originally inside the square root:
x^6 * x = x^7 therefore c was a "7"
In the second expression we have a CUBIC root, so only perfect cubes can get extracted from it. Since there is one factor "x" shown in the simplified form (right hand side of the equal sign), that means that it must have been an x^3 (perfect cube) apart from the x^2 that was left inside the root. This makes the original power of x to be a 3 + 2 = 5.
Therefore d = 5
Related Questions
Caleb runs laps at the local track. The circular track measures 70 feet across its diameter. How many feet will Caleb run if he stays on the outer edge of the track? (Round to the nearest whole number.)
Answers
Answer:
Caleb will run 237 ft
Step-by-step explanation:
Answer:
Caleb will run 220 ft.
Step-by-step explanation:
70 * pi = 220 ft
The picture below has got me stuck
Answers
Answer:
X=42
Step-by-step explanation:
when the question says that ABCD ~ EFGH that's just saying that they are equal.
AB = 16 FE = 10 the first shape has sides that are 6 longer than the second shape.
next, to find X in FG, it's going to be BC - 6 = X - 4 = FG (aka 30 - 6 = 42 - 4 = 20).
i hope thought this out right for you, and hope that helps. :)
Hellp pls. This is not a test, so pls do not report.
Answers
2E What is the greatest whole number less than 1000 that:
(1) can be expressed as the sum of two consecutive whole numbers, and
(2) can be expressed as the sum of three consecutive whole numbers, and
(3) can be expressed as the sum of five consecutive whole numbers
Answers
Answer:
(1) 499 and 500 are the greatest consecutive whole numbers whose sum is less than 1000.
(2) 332, 333 and 334 are the greatest consecutive whole numbers whose sum is less than 1000.
(3) 197, 198, 199, 200 and 201 are the greatest consecutive whole numbers whose sum is less than 1000.
Step-by-step explanation:
(1) Let be [tex]n \in \mathbb{Z}[/tex], such that:
[tex]n + (n+1) < 1000[/tex]
[tex]2\cdot n +1 < 1000[/tex] (Eq. 1)
Then we solve the inequation by algebraic means:
[tex]2\cdot n < 999[/tex]
[tex]n < \frac{999}{2}[/tex]
[tex]n < 499.5[/tex]
Which means that greatest value of [tex]n[/tex] is 499. In consequence, 499 and 500 are the greatest consecutive whole numbers whose sum is less than 1000.
(2) Let be [tex]n \in \mathbb{Z}[/tex], such that:
[tex]n+(n+1)+(n+2) < 1000[/tex]
[tex]3\cdot n + 3 < 1000[/tex] (Eq. 2)
Then we solve the inequation by algebraic means:
[tex]3\cdot n < 997[/tex]
[tex]n < \frac{997}{3}[/tex]
[tex]n < 332.333[/tex]
Which means that greatest value of [tex]n[/tex] is 332. In consequence, 332, 333 and 334 are the greatest consecutive whole numbers whose sum is less than 1000.
(3) Let be [tex]n \in \mathbb{Z}[/tex], such that:
[tex]n +(n+1)+(n+2)+(n+3)+(n+4) < 1000[/tex]
[tex]5\cdot n + 10 < 1000[/tex] (Eq. 3)
Then we solve the inequation by algebraic means:
[tex]5\cdot n <990[/tex]
[tex]n < \frac{990}{5}[/tex]
[tex]n < 198[/tex]
Which means that greatest value of [tex]n[/tex] is 197. In consequence, 197, 198, 199, 200 and 201 are the greatest consecutive whole numbers whose sum is less than 1000.
A student asks how you can find the quotient and the remainder in a division problem like
593
÷
36
using a calculator that can perform only the four basic operations. How do you respond?
Answers
Answer:
16.4722222222
Step-by-step explanation:
The quotient and remainder should be 16 and 17 respectively.
Given that,
The problem is 593 ÷ 36.By using the calculator we can perform the four operations i.e. addition, subtraction, multiplication & division.The division result in the division operator is
593 ÷ 36 = 16.4722So, the quotient is 16.Now the remainder should be
(16.4722 - 16) ×36 = 17
Therefore we can conclude that the quotient and remainder should be 16 and 17 respectively.
Learn more about the division here: brainly.com/question/21416852
In a normal distribution, 95% of the data fall within how many standard
deviations of the mean?
O A. Two standard deviations
O B. One standard deviation
C. It cannot be determined from the given information.
O D. Three standard deviations
Answers
In a normal distribution, 95% of the data falls within two standard deviations.
What is a normal distribution?
The most typical distribution function for independent, randomly produced data is the normal distribution, commonly known as the Gaussian distribution. Every statistical report uses this well-known bell-shaped curve, from survey analysis and quality control to resource allocation.
Here,
We have to determine in a normal distribution, 95% of the data fall within how many standard deviations of the mean.
We concluded that 95% of the data points will fall within two standard deviations of the mean. 99.7% of the data points will fall within three standard deviations of the mean.
Hence, In a normal distribution, 95% of the data falls within two standard deviations.
To learn more about the normal distribution from the given link
https://brainly.com/question/4079902
#SPJ1
The sum of a number and five more than the number is fifteen
Answers
Answer:
5
Step-by-step explanation:
5 plus 5 more than 5 is 15
Which of the following is a polynomial?
Answers
Answer:
C
Step-by-step explanation:
Only C is a polynomial function. It is recognizable as such by the positive, integer power x^4. The others have negative powers, which eliminates them.
HELP ASAP TEST SOON IMMA FAIL THAT B! HELLLPPPPP! DUE IN 10 MINS HELP! 1. What equation is represented on the graph below?
Answers
Step-by-step explanation:
1 is the starting point since it is on the the axis.
then you would use the rise over run method to get the fraction. it rises by two and runs by 1 which would get you 2/1. so the answer should be y=1+2/1
(it is an addition sign since it is a positive slope)
1.(07.01 LC)
What is the value of x in the equation -6 + x = -52 (1 point)
A1
B11
C-1
D-11
Answers
It's -46, because if you add -6 and -46 you get -52
Who tryna okay among us??
Answers
Answer:
(7i^17+42.628%*1037)(437^2-281i)^19
Step-by-step explanation:
Itll all make sense
M e e e e e ??
Hope you have a great day!
please help me :((((
Answers
4x = -48
x = -12
2. 7x + 23 + 4x + 25 = 180
11x + 48 = 180
11x = 132
x = 12
solve the following equation for x: logx+log(x-3)=log(3x)
a. there are no solutions
b. x=0
c. x=0,6
d. x=6
Answers
Answer:
x=6
Step-by-step explanation:
For two functions to be equal, the arguments of each must be equal.
Answer: it’s x= 6
Step-by-step explanation: I just got it right on the quiz.
Which relation is not a function?
Answers
Simplify 45a²b
__________
30AB
Answers
Answer:
15ab
Step-by-step explanation:
if the AB is capital on purpose then its 15a^2b over AB
Find the value of X, I need help solving this
Answers
13times 4 is 52
Answer:
B) 13
Step-by-step explanation:
The given angles are vertical angles and has same measurement
4x = 52° divide both sides by 4
x = 13
Someone please help me with this (look at the image above)
Answers
9514 1404 393
Answer:
a) base: 29.4377 cm
b) hypotenuse: 30.7827 cm
c) area: 132.470 cm²
d) perimeter: 69.2204 cm
Step-by-step explanation:
a) The mnemonic SOH CAH TOA reminds you that ...
Tan = Opposite/Adjacent
tan(17°) = (9 cm)/base
base = (9 cm)/tan(17°) = 29.4377 cm
__
b) The sine relation could be used in the same way to find the hypotenuse:
hypotenuse = (9 cm)/sin(17°) ≈ 30.7827 cm
However, we're instructed to use the Pythagorean theorem. So, we have ...
hypotenuse = √(base² +(9 cm)²) ≈ √(886.577 +81) cm ≈ 30.7827 cm
__
c) The area is half the product of the base and height:
A = 1/2bh
A = (1/2)(29.4377 cm)(9 cm) ≈ 132.470 cm²
__
d) The perimeter is the sum of side lengths:
P = base + hypotenuse + height
P = (29.4377 +30.7827 +9) cm = 69.2204 cm
classify triangles by its sides and angles geometry
Answers
Answer:
1. isosceles and acute
2. Scalene and acute
3. Equilateral and equiangular
4. Right (and isosceles ?)
(not sure ab isosceles for the last one but everything else is fine)
:)
Find two real numbers whose sum is 12 and whose product is 32.
Answers
8*4=32
So the two real numbers would be 4 & 8
John is a quarterback this year he completed 350 passes which is 70% of all passes he is attempting this year
Answers
Answer:
John attempted 500 passes.
Step-by-step explanation:
350 / x = 70%
350 = 0.7x
x = 500
Choose the measure that is approximately equivalent to 9 kilometers.
A.4.5 mi
B.5.6 mi
C.7.39 mi
D.14.5 mi
Answers
9 miles is approximately equivalent to 5.6 miles.
What is a unitary method?A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.
We know 1 mile is approximately equivalent to 1.6 kilometers or 1.6 kilometers is equivalent to 1 mile.
∴ 9 kilometers is equivalent to (9/1.6) miles.
= 5.6 miles.
learn more about the unitary method here :
https://brainly.com/question/22056199
#SPJ2
Sarah was given an exit slip with the problem: "45 is 75% of what?" Below is how she set up the equation with equivalent ratios.
Was she correct ? Or is there an error that can be corrected?
1.yes,she is correct
2.no, she should have set it up x/45 = 100/45
3.no,she should have set it up 45/x =75/100
Answers
The answer should be 60 if im correct.
Josie has $ 47 left on her checking account. if she writes for $55, what will Josie' s balance be?
Answers
Answer:
$102
Step-by-step explanation:
how many $20 dollar bills equal $1,000?
Answers
Answer:
50 $20 bills equals $1,000
Step-by-step explanation:
1000 / 20=50
50 $20 bills equal $1000
What is the unitary method?The unitary method is a method in which you find the value of a unit and then the value of a required number of units.
Given here $1000 bill to find its $20 equivalent we divide the amount with 20 thus $20 equivalent of $1000 is $1000/20=50
Hence, $1000 bill equivalent of $20 is 50
Learn more about the unitary method here:
https://brainly.com/question/22056199
#SPJ2
help and u get the brain thing
Answers
Answer:
16%
Step-by-step explanation:
Multiply the pairs of numbers and match them to their products.
Answers
Answer:
-1.2*-7=8.4 -2.5*-2=5 2.5*-2=-5 -1.2*7=-8.4
Step-by-step explanation:
One number is 2 more than the other. The small one is 4 times equal to triple the larger number . What is the value of both the larger and smaller number?
Answers
Answer:
n + (3n)+7 =
4n+7
And that is the answer
Step-by-step explanation:
Please help me with this
Answers
Answer:
m9 = 115
m4 =110
m10=65
m11= 70
m8= 70
m5 = 65
m3 = 70
m14 = 115
the graph shows a proportional relationship between a person's total savings in dollars and the number of weeks they have been saving write an equation that models the savings.
the equation y=__ models the savings
Answers
Answer:
54x
Step-by-step explanation:
The equation y = 45 models the saving.
What is the point-slope form of a line?If m is the slope of the line that passes through the point (x₁, y₁), then the equation of the line is y - y₁ = m (x - x₁).
Given the graph of the equation.
Note that the graph passes through points (0,0) and (2,90).
The slope of the line is:
m = (90 - 0)/(2 - 0)
m = 45
The equation of the line with a slope of m = 45 and passes through (0,0) is:
y -0 = 45(x - 0)
y = 45x
Hence, the equation y = 45 models the saving.
Learn more about the point-slope form of a line:
https://brainly.com/question/29503162
#SPJ5
What is the area of the unshaded portion of this figure?
Answers
Answer:
its D 162
Step-by-step explanation:
First, subtract 12 by 18 to find the length that gives you 6 then do 6x9 to find the area of the square then divide by 1/3 to find the triangle
