Answers
Answer:
Step-by-step explanation:
Keep in mind that we want to eliminate the radical from the denominator. Note that the denominator is equal to
8^(1/4) = (2^3)^(1/4).
If we multiply the entire given expression by 2^(1/4), we get:
2^(1/4) √10
----------- * -----------------
2^(1/4) (2^3)^(1/4)
or
2^(1/4) √10 2^(1/4) · √10 2^(1/4) · 10^(2/4)
----------- * ----------------- = ---------------------- = ---------------------------
2^(1/4) (2^3)^(1/4) 2^(1/4 + 3/4) 2
2^(1/4) · 10^(2/4) 2^(1/4) · 100^(1/4) 200^(1/4)
= ------------------------------ = -------------------------- = --------------------
2 2 2
This result is the same as the first answer choice:
fourth root of 200 over 2
Answer:
A!!!!!!!
Step-by-step explanation:
Related Questions
PLEASE HELP!! The line plot shows the amount of liquid fertilizer used on nine plants. What is the total amount of liquid fertilizer used?
Answers
Answer:
4 3/4 or 19/4
Step-by-step explanation:
To answer this question, you must add the values of all of the x's on the line plot. There is 1 x on 1/4 and 2 x's on 3/8. So, add 1/4 + 3/8 + 3/8 to get 1. Next, there are 3 x's on 1/2. So, add 1 + 1/2 + 1/2 + 1/2 to get 2 1/2. Lastly, there's 1 x on 5/8, 1 x on 3/4, and 1 x on 7/8. So add 2 1/2 + 5/8 + 3/4 + 7/8 to get 4 3/4 of 19/4 as your final answer. I hope this helps!!!
PLEASE HELP ME ASAP !!!!
Answers
Answer:
Same:
A 50% decrease followed by a 100% increase.
A 33 1/3% decrease followed by a 50% increase.
Less:
A $25 increase followed by a $30 decrease.
A 20% increase followed by a 25% decrease.
Greater:
An 80% increase followed by a 40% decrease.
IN ORDER TO FIGURE OUT THE ANSWER CHOOSE A NUMBER AND APPLY WHAT IT IS TELLING YOU. FOR EX: on #1: I chose the number 100 then multiplied it by 1.8 then multiplied that number by 0.6 to get 108 which is greater than 100
80% increase followed by 40% decrease=greater
50% decrease follow by 100% increase=greater
20% increase followed by a 25% decrease=less
$25 increase followed by $30 decrease= less
33 1/3% decrease followed by 50% increase= same
How many solutions are there to the equation below 9x+16=4x
Answers
Answer:
one solution
Step-by-step explanation:
9x+16=4x
16=4x-9x
16/-5=x
x=-3.2
the probability of getting number 2 when a die is rolled
Answers
What is the variable in this expression?
4b + 2b + 1⁄4
Answers
Answer:
the variable is "b"
Step-by-step explanation:
what is 1 2/5 + 2 3/10
Answers
Answer: 3 7/10
Solution by separating partsLet's rewrite our equation with the parts separated
= 1 + 2/5 + 2 + 3/10
Now, let's add the whole numbers
1 + 2 = 3
Now, let's figure out how to solve the fraction parts
2/5 + 3/10 = ?
You'll need to find the LCD (Lowest Common Denominator) of 2/5 and 3/10.
If you don't know, the LCD is 10
Since 3/10 already has a denominator of 10, we don't need to do anything with it.
However, we need to multiply the numerator and denominator of 2/5 by 2
Why? We need the LCD, which is 10. Also, we can only add fractions if they have the same denominators
Numerator: 2 x 2 = 4
Denominator: 5 x 2 = 10
Fraction: 4/10
Now add the fractions
4/10 + 3/10 = 7/10
Finally, combine the whole numbers with the fractions
3 + 7/10 = 3 7/10
find the distance between the two points 4,1 and -3,-2. Show your work
Answers
Answer:
The distance between two points is √58 or 7.61.
Step-by-step explanation:
In the question we need to find the distance between two points 4,1 and -3,-2 given.
Distance between two points can be found using the formula:
[tex]d(P1,P2) = \sqrt{(x_{2}-x_{1})^2 + (y_{2}-y_{1})^2}[/tex]
Putting the given points in the formula we get,
x₂ = -3, x₁ = 4, y₂= -2, y₁= 1
[tex]=\sqrt{(-3-(4))^2 + (-2-(1))^2} \\=\sqrt{(-3-4)^2 + (-2-1)^2}\\=\sqrt{(-7)^2 + (-3)^2}\\=\sqrt{49 + 9}\\=\sqrt{58}\\=7.61[/tex]
So, the distance between two points is √58 or 7.61.
Convert the complex number z = 4 - 10i from rectangular form to polar form.
Answers
ANSWER
[tex]r = 2 \sqrt{29} ( \cos(292 \degree) + \sin(292 \degree)) [/tex]
EXPLANATION
The polar form of a complex number ,
[tex]z = x + yi[/tex]
is given by:
[tex]z = r( \cos( \theta) + i \sin( \theta) )[/tex]
where
[tex]r = \sqrt{ {x}^{2} + {y}^{2} } [/tex]
The given complex number is:
[tex]z = 4 - 10i[/tex]
[tex]r = \sqrt{ {4}^{2} + {( - 10)}^{2} } [/tex]
[tex]r = \sqrt{16 + 100} [/tex]
[tex]r = \sqrt{116} = 2 \sqrt{29} [/tex]
And
[tex]\theta= \tan^{ - 1}(\frac{ y}{x} )[/tex]
[tex]\theta= \tan^{ - 1}(\frac{ - 10}{4} )[/tex]
[tex]\theta= 292 \degree[/tex]
Hence the polar form is :
[tex]r = 2 \sqrt{29} ( \cos(292 \degree) + \sin(292 \degree)) [/tex]
please help!!!!!
Which defines the piecewise function shown?
Answers
The answer is:
The second piecewise function,
[tex]f(x)=\left \{ {{-x-2,x<0} \atop {-\frac{x}{2} }\geq 0} \right.[/tex]
Why?To answer the question, we need to find which piecewise function contains the graphs shown in the picture, we have that first line shown, is decreasing and exists from the negative numbers to 0, and the line cuts the x-axis and the y-axis at "-2", for the second line shown, we have that is decreasing but exists from 0 (including it) to the the positive numbers.
So, finding which piecewise satisfies the function shown, we have:
- First piecewise function:
[tex]f(x)=\left \{ {{-x-2,x<0} \atop {\frac{x}{2} }\geq 0} \right.[/tex]
First line,
We have the first line,
[tex]-x-2<0\\[/tex]
The variable has a negative coefficient (-1), meaning that the function (line) is decreasing, also we can see that the function does exists from all the numbers less than 0, to 0, and it cuts the x-axis at -2 and the y-axis at -2.
Second line,
[tex]\frac{x}{2}\geq 0[/tex]
The variable has positive coefficient, meaning that the function (line) is increasing.
Hence, since the second line is not decreasing, the piecewise function is not the piecewise function shown in the picture.
- Second piecewise function,
[tex]f(x)=\left \{ {{-x-2,x<0} \atop {-\frac{x}{2} }\geq 0} \right.[/tex]
First line,
We have the first line,
[tex]-x-2<0\\[/tex]
The variable has a negative coefficient (-1), meaning that the function (line) is decreasing, also we can see that the function does exist from all the numbers less than 0, to 0.
Second line,
[tex]-\frac{x}{2}\geq 0[/tex]
The variable has a negative coefficient ([tex](-\frac{1}{2})[/tex], meaning the the unction (line) is decreasing, also we can see that the function does exists from 0 (including it) to the positive numbers.
Hence, we have that the correct option is the second piecewise function,
[tex]f(x)=\left \{ {{-x-2,x<0} \atop {-\frac{x}{2} }\geq 0} \right.[/tex]
Note: I have attached a picture for better understanding.
Have a nice day!
Please help with math problem
Answers
Answer:
[tex]a_0 = -6[/tex]
[tex]a_1=8[/tex]
[tex]x^2 +y^2 -6x + 8y = 0[/tex]
Step-by-step explanation:
The equation of the circle has the following form
[tex]x^2 + y^2 + a_0x + a_1y=0[/tex]
The equation of the circle has the following form
We know that the circle goes through the following points
(0, 0)
(6, 0)
(0, -8).
Then we substitute the values of x and y in the equation
For (0, 0)
[tex]0^2 + 0^2 + a_0(0) + a_1(0)=0[/tex]
[tex]0=0[/tex]
For (6, 0)
[tex]6^2 + 0^2 + a_0(6) + a_1(0)=0[/tex]
[tex]36 + 6a_0=0[/tex]
[tex]a_0 = -\frac{36}{6}\\\\a_0 = -6[/tex]
For (0, -8)
[tex]0^2 + (-8)^2 + a_0(0) + a_1(-8)=0[/tex]
[tex](-8)^2 - 8a_1=0[/tex]
[tex](-8)^2 = 8a_1[/tex]
[tex]a_1=8[/tex]
Finally the equation is:
[tex]x^2 +y^2 -6x + 8y = 0[/tex]
A pharmacist weighed eight different capsules of the same compound and recorded these measurements: 2312 mg, 2313 mg, 2315 mg, 2321 mg, 2325 mg, 2310 mg, 2320 mg, and 2319 mg. What is the median measurement? What is the mean measurement?
Answers
The median measurement of the capsules is 2317 mg, which is the average of the fourth and fifth values when listed in order. The mean measurement is also 2317 mg, found by summing all measurements and dividing by the total number of samples.
Explanation:To find the median measurement of the pharmacist's recorded capsule weights, we first list the measurements in numerical order: 2310 mg, 2312 mg, 2313 mg, 2315 mg, 2319 mg, 2320 mg, 2321 mg, 2325 mg. Since there are eight measurements (an even number), the median is the average of the fourth and fifth measurements: (2315 mg + 2319 mg) / 2 = 4634 mg / 2 = 2317 mg. Therefore, the median measurement is 2317 mg.
To calculate the mean measurement, we sum all the measurements and then divide by the number of measurements: (2312 mg + 2313 mg + 2315 mg + 2321 mg + 2325 mg + 2310 mg + 2320 mg + 2319 mg) / 8 = 18535 mg / 8 = 2316.875 mg. The mean measurement, rounded to the nearest milligram, is 2317 mg.
Thank you for any help!
Answers
The answer is D
0 is not less than or equal to -4, and in the second equation, 0 is greater than -1
Answer:
D. No. (0, 0) satisfies [tex]y>2x-1[/tex] but does not satisfy [tex]y\leq x^2-4[/tex].
Step-by-step explanation:
We are given the following system of equations and we are to determine if (0, 0) is its solution or not:
[tex]y\leq x^2-4[/tex]
[tex]y>2x-1[/tex]
Substituting the given point [tex](0, 0)[/tex] in both the equations to check if it satisfies them.
[tex]y\leq x^2-4[/tex] [tex]\implies[/tex] [tex]0\leq (0)^2-4 \implies 0\leq -4[/tex] - False
[tex]y>2x-1 \implies 0 > 2(0)-1 \implies 0>-10[/tex] - True
Therefore, the correct answer option is D. No. (0, 0) satisfies [tex]y>2x-1[/tex] but does not satisfy [tex]y\leq x^2-4[/tex].
please help answer all please!!!!The graph below represent a trip taken by bicycle. Use the graph to answer questions
11. During the trip the cyclist stops for a time. During which labeled section-A, B, C, or D- did he stop? ________
12. During which labeled section was he traveling the slowest? _______
13. During which labeled section was he traveling the fastest? ______
14 Calculate the speed of the cyclist during section D _______
15. How far away was the cyclist when he turned around and headed home? _______
Answers
Answer:
Part 11) The cyclist stops for a time during the section B
Part 12) He traveling slowest in section A
Part 13) He traveling fastest in section C
Part 14) The speed in section D is 20 km/h
Part 15) The cyclist was 60 km from home when he turned around
Step-by-step explanation:
we know that
The speed is the ratio of the distance by the time
s=d/t
The slope of the graph is equal to the speed of the cyclist
Part 11. During the trip the cyclist stops for a time. During which labeled section-A, B, C, or D- did he stop?
The cyclist stops for a time during the section B
Because, during section B the distance is a constant (d=30 km)
therefore
The speed is equal to zero (Remember that the slope of a horizontal line is equal to zero)
Part 12. During which labeled section was he traveling the slowest?
Find the slope (speed) in each section
Find the slope in section A
Let
A(0,0) and B(4,30)
the slope is equal to
m=(30-0)/(4-0)=7.5 km/h
Find the slope in section B
Is a horizontal line
therefore
the slope is equal to
m=0 km/h
Find the slope in section C
Let
C(6,30) and D(7,60)
the slope is equal to
m=(60-30)/(7-6)=30 km/h
Find the slope in section D
Let
E(7,60) and F(10,0)
the slope is equal to
m=(0-60)/(10-7)=-20 km/h ---> is negative because in this section he turned around
therefore
He traveling slowest in section A
Part 13. During which labeled section was he traveling the fastest?
Remember part 12)
Slope in section C
Let
C(6,30) and D(7,60)
the slope is equal to
m=(60-30)/(7-6)=30 km/h ----> is the greater slope
therefore
He traveling fastest in section C
Part 14. Calculate the speed of the cyclist during section D
Remember part 12)
Slope in section D
Let
E(7,60) and F(10,0)
the slope is equal to
m=(0-60)/(10-7)=-20 km/h ---> is negative because in this section he turned around
therefore
The speed in section D is 20 km/h
Part 15. How far away was the cyclist when he turned around and headed home
Observing the graph
we know that the cyclist turned around at point (7,60)
therefore
The cyclist was 60 km from home when he turned around
Polygons and Quadrilaterals... Help
Answers
Answer:
That is an octagon (eight sides).
Interior Angle Total = 1,080
EACH interior angle = 180 - (360 / 8) = 135
n + 161 + (n -12) +(n + 30) + n + 134 + (n+16) + 126 = 1,080
5n + 455 = 1,080
5n = 625
n = 78.125
Step-by-step explanation:
PLZ HELP!! PLZ SHOW WORK AND EXPLAIN
Answers
Answer:
50 miles
Step-by-step explanation:
Addition:
7/8 + 9/4 = 7/8 + 18/8 = 25/8 inches.
Now we have to convert to miles:
25/8 inches *16
Answer = 50 miles.
What is the Greatest Common Factor of the expression 12x4 + 18x2?
Answers
Answer:
6x²
Step-by-step explanation:
to find the GCF we look at the terms and see what they have in common
we see that the greatest number both can be divided by is 6
we also look at the variables. both contain an x², so we can factor out as well
the answer would be 6x²
The density of an object is its mass per unit volume. An object has a mass of 4.2 grams and a volume of 2 cm3. What is the density of the object?
A. 8.4 g/cm^3
B. 0.5 g/cm^3
C. 2.1 g/cm^3
D. 2.2 g/cm^3
Answers
Answer:
C. 2.1 g/cm^3
Step-by-step explanation:
The density of an object is its mass per unit volume.
The formula for density is:
[tex]D=\frac{M}{V}[/tex]
The object has a mass of 4.2 grams.
[tex]\implies M=4.2g[/tex]
and a volume of 2 cubic centimeters
[tex]\implies V=2cm^3[/tex]
We substitute the known values into the formula to get:
[tex]D=\frac{4.2}{2}gcm^{-3}[/tex]
We simplify to obtain:
[tex]D=2.1gcm^{-3}[/tex]
Answer:
2.1 g/cm^3 so its c
George measured the capacity of a cardboard box as 400 in3. The true capacity of the cardboard box is 450 in3. What is the percent error in George’s measurement? If necessary, round to the nearest percent.
Answers
Answer:
11%
Step-by-step explanation:
450-400=50, Amount of difference.
Actual volume, 450 in^3.
[tex](\frac{50}{450} )*100=100*(\frac{1}{9} )[/tex]
11%
Tanya have several different ways she likes to walk home. One route takes 20 minutes, two of the routes take 30 minutes, and two take 40 minutes. Tanya randomly chooses a route to walk home. What is the probability, to the nearest percent, that it will take her 30 minutes to walk home?
A.) 20%
B.) 33%
C.) 40%
D.) 67%
Please explain answer for me :)
Answers
Answer:
40%
Step-by-step explanation:
Tanya has a a choice of 5 different routes (1-20 mins, 2-30 mins, 2-40 mins).
How many routes can she take that will take her 30-mins to get home?
The answer is 2.
What's the probability she will take 2 of the 5 routes to get home?
The probability is 2/5 so 40%.
The rounding instruction was there to mislead you in this case :-)
Fifteen friends share 20 cups of popcorn equally. Which faction of a cup does each friend get?
Answers
Answer:*fraction
Step-by-step explanation: I hope you get your answer soon
Translate the following into a math equation:
4 divided by the difference of h and 7
Question 1 options:
a 4 − h ÷ 7
b (h − 7) ÷ 4
c 4 ÷(h − 7)
d 4 ÷ (h + 7)
Answers
Answer:
C
Step-by-step explanation:
4 divided is said first, so it comes first in the equation. Difference means subtraction, meaning h - 7
I need help please????
Answers
Answer:
(2, 2)
Step-by-step explanation:
To determine which ordered pair is a solution to the equation.
Substitute the x- coordinate into the left side and the y- coordinate into the right side and if both sides are equal then that is the solution.
(2, 2)
3 × 2 = 6 and 8 - 2 = 6 → hence (2, 2) is a solution
(8, 0)
3 × 8 = 24 and 8 - 0 = 8 → hence (8, 0) is not a solution
(3, 1)
3 × 3 = 9 and 8 - 1 = 7 → hence (3, 1) is not a solution
Mack wants to calculate the circumference of a circle with a radius of 7 centimeters.
Answers
So C= dxpi or rx2xpi= c in this case 7x 2 = 14 is diameter do E D and A finds the diameter and the rest do not
A comparative box plot is shown for two data sets. Which statement is true? (Please help me and please if you're not 100% sure)
Answer Choices
A. At least 50% of the data for each set is between 13 and 16.
B. Less than 25% of the data for the sets overlap.
C. More than 25% of the data for each set is greater than 15.
D. At least 75% of the data is greater than 16.
Answers
Answer:
a
Step-by-step explanation:
Answer:
I would say A
Step-by-step explanation:
When do two ratios form a proportion?
Answers
when they are equal
A proportion is when two ratios are equal.
For example the ratio 10:5 is equal to the ratio 2:1, therefore this is a proportion.
Last weekend nina mowed 4 lawns and received $60 this weekend she mowed 6 lawns and received $90 what is the constant of proportionality
Answers
Answer: nina is getting $15 for 1 lawn.
Step-by-step explanation:
1 $15
2 $30
3 $45
4 $60
Select all the equations where c=9 is a solution. Choose 2 answers:
A. 4 - c =5
B. 20 = 14 + c
C. 15 = c - 6
D. C/3 = 3
E. 36 = 4c
Answers
Answer is D and E
Since 9 divided by 3 is three it would be correct and 4 multiplied by 9 is E would be correct. The others just don’t add up.
The equation where c = 9 should be option D and option E.
Given information:C = 9
Equation selection:If [tex]C \div 3 = 3\\\\[/tex]
So this should be correct as 3 = 3
And,
36 = 4c
c = 9
Learn more about the equation here: https://brainly.com/question/18715058
the gestation time for cows is normally distributed with a mean of 284 days and a standard deviation of 12 days. at a local Ranch over the course of a year they're 820 calf births. of these how many would be expected to have a gestation time of less than 270 days
Answers
Answer:
100 calfsStep-by-step explanation:
We must calculate the probability that the cows have a gestation time of less than 270 days. If X represents the gestation time of a randomly selected cow, then we look for:
[tex]P (X <270)[/tex]
Acora we calculate the Z-score
[tex]Z=\frac{X-\mu}{\sigma}[/tex]
In this case
[tex]\mu=284\ days\\\\\sigma = 12\ days[/tex]
So
[tex]P (X <270) =P (\frac{X-\mu}{\sigma} <\frac{270-284}{12})=P(Z<-1.167)[/tex]
Looking in the normal standard table we have to
[tex]P(Z<-1.167)=0.1216[/tex]
Finally, the expected number of calf "E" that will have a gestation time of less than 270 days is:
[tex]E=820*P (X <270)\\\\E=820*0.1216[/tex]
E=99.71≈100 Calfs
Choose the answer that correctly solves the equation: 6 x 4 + 3 = ?
Answers
Answer:
27
Step-by-step explanation:
because 6×4 is 24 and 24+3 =27
Answer:
The answer is 27
Step-by-step explanation:
Using Pemdas (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction) 6 x 4= 24 then 24 + 3= 27.
Hope this helps. Please name me Brainliest
I. You withdraw $17 from your account. II. A running back loses 17 yards in a game. III. The temperature rises 17 degrees. The integer -17 would BEST represent which of these events? A) I only B) III only C) I and II only D) II and III only
Answers
Withdrawing money from an account is a negative value, losing yards in a game would also be a negative value.
A rise in temperature would be a positive value.
Both 1 and 2 could be written as -17.
The answer is C.