Answer:
Step-by-step explanation:
[tex]\frac{(2x^3y^{-3})^2}{16x^7y^{-2}}\\ =\frac{4x^6y^{-6}}{16x^7y^{-2}}\\ =\frac{1}{4xy^4}[/tex]
Numerator = 1
Find the difference. express the answer in scientific notation. (8.64 times 10 superscript 20 baseline) minus (7.83 times 10 superscript 20 baseline) 8.1 times 10 superscript 19 0.81 times 10 superscript 20 8.1 times 10 superscript 21 0.81 times 10 superscript 40
Answer:
Its A or B
Step-by-step explanation:
increase $32 in the ratio 2:5
decrease 54 litter in the ratio 5:1
Answer:
Step-by-step explanation:
32 = 2 : 5
32/7 = 4
2 x 4 : 4 x 5
8 : 20
Can someone help me please
Answer:
y = x + 2
Step-by-step explanation:
You can find the slant asymptote using polynomial long division because the numerator is one degree higher than the denominator.
(x^2+x+4)/(x-1)
I'm not sure how to show long division but you should get:
x+2 with remainder 6
Then your slant asymptote is y = x + 2
You can graph it on Desmos to verify
What is it the same of?
Answer:
C. [tex]\frac{1}{4}[/tex]× [tex]\frac{7}{2}[/tex]
Step-by-step explanation:
When you convert a fraction division into multiplication, you convert the divisor into its reciprocal. The reciprocal of [tex]\frac{2}{7}[/tex] is [tex]\frac{7}{2}[/tex]. So you get your answer [tex]\frac{1}{4}[/tex]× [tex]\frac{7}{2}[/tex].
Sauna spent 4/5 of her allowance on food and shopping what fraction of her allowance had she left
Answer: 1/5
Step-by-step explanation: You just subtract 4/5 from 1, or 5/5. And BOOM! you get 1/5.
Cooling towers are used to remove or expel heat from a process. A cooling tower's walls are modeled by where the measurements are in meters. What is the width of the cooling tower at the base of the structure
The width of the cooling tower is 36 meters.
What is a cooling tower?A cooling tower is a vent that is built for the purpose of releasing waste heat back to the atmosphere.
Now we can model the system using; x²/324 - (y² - 90)²/1600. Thus, the width can be obtained from;
2 × ✓324
= 2 × 18
= 36 meters
Learn more about cooling tower:https://brainly.com/question/26654522
#SPJ1
Missing parts;
Cooling towers are used to remove or expel heat from a process. A cooling tower's walls are modeled by x squared over 324 minus quantity y minus 90 end quantity squared over 1600 equals 1 comma where the measurements are in meters. What is the width of the cooling tower at the base of the structure? Round your answer to the nearest whole number.
36 meters
48 meters
80 meters
89 meters
A surveyor found the angle of elevation from the ground to the top of the building at two locations 20 feet apart as shown below.
2 lines are drawn from the ground to the top of a building, forming 2 triangles with the ground. The angle of elevation of the first line is 48 degrees. The second line is 20 feet away from line 1. The angle of elevation of the second line is 33 degrees. c is the length of the first line and h is the height of the building. Angle A is the angle to the left of angle 48 degrees, and angle B is the angle at the convergence of the 2 lines with the top of the building.
Which measurements are correct? Round side lengths to the nearest hundredth. Check all that apply.
m∠A = 57°
m∠B = 15°
c ≈ 10.89 ft
h ≈ 8.09 ft
h ≈ 31.28 ft
Applying the sine ratio and law of sines, the correct measurements are:
B. m∠B = 15°
E. h ≈ 31.28 ft.
What is the Sine Ratio?Sine ratio that can be used to determine the side length of a right triangle is, sin ∅ = opposite side/hypotenuse.
Find c using the law of sines:
C = 33°
A = 180 - 48 = 132 [linear pair]
B = 180 - 33 - 132 = 15° [triangle sum theorem]
b = 20 ft
c = ?
Using the law of sines, b/sin B = c/sin C, we have:
20/sin 15 = c/sin 33
(c)(sin 15) = (20)(sin 33)
c = (20 × sin 33)/sin 15
c ≈ 42.09
Use the sine ratio to find h:
∅ = 48°
Hypotenuse = c = 42.09
Opposite = h = ?
sin 48 = h/42.09
h = (sin 48)(42.09)
h ≈ 31.28
The correct measurements are:
B. m∠B = 15°
E. h ≈ 31.28 ft
Learn more about the sine ratio on:
https://brainly.com/question/2920412
#SPJ1
Answer:
B. and E.
Step-by-step explanation:
For the pair of points, find the slope of the line that passes through both points. (1,1) and (5,7)
Answer: 3/2
Step-by-step explanation:
[tex]\frac{7-1}{5-1}=\frac{6}{4}=\frac{3}{2}[/tex]
Im very confused about my precourse work for AP environmental science.
The conversion method given on the paper is something I am not used to and I cant seem to find any information about anything like this. I only need help with #3 and #4.
The computation shows that the values are 64000 acres and 563 metric tons.
How to compute the values?1. A 100 square mile area of national forest is how many acres?
1 mile square = 640 acres
100 square miles = 100 × 640 = 64000 acres.
2. Fifty eight thousand kilograms of solid waste is equivalent to how many metric tons?
1 metric ton = 103kg
58000 kg = 58000/103 = 563 metric tons
Learn more about computations on:
brainly.com/question/4658834
#SPJ1
Quick please!!
What’s the distance between the following points?
Answer:
answer is 6^2 × 6^2 = squate root 72
distance equals 8.485
Answer:
6[tex]\sqrt{2}[/tex] ≈ 8.49 units
Step-by-step explanation:
calculate the distance d using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = (2, - 3 ) and (x₂, y₂ ) = ( 8, - 9 )
d = [tex]\sqrt{(8-2)^2+(-9-(-3))^2}[/tex]
= [tex]\sqrt{6^2+(-9+3)^2}[/tex]
= [tex]\sqrt{36+(-6)^2}[/tex]
= [tex]\sqrt{36+36}[/tex]
= [tex]\sqrt{72}[/tex]
= [tex]\sqrt{36(2)}[/tex]
= [tex]\sqrt{36}[/tex] × [tex]\sqrt{2}[/tex]
= 6[tex]\sqrt{2}[/tex] units ← exact length
≈ 8.49 units ( to 2 dec. places )
HELP PLEASE IM REALLY STUCK
A survey of 400 nurses yielded the following information: 279 were health club members, 215 were smokers, and 160 of the health club members were smokers. how many of the 400 surveyed nurses were health club members or were smokers?
Health club members or were smokers is [tex]334[/tex] from a A survey of [tex]400[/tex] nurses yielded.
How can we find the health club members or were smokers ?
Events of health club members is [tex]P(M)=279[/tex]
Events of smokers is [tex]P(S)=215[/tex]
Probability of health club members and smokers is [tex]p(M and S)=160[/tex]
Probability of health club members or were smokers is =?
So we use the formula
[tex]p(M or S)=p(M)+p(S)-p(M and S)\\ = 279+215-160\\ = 334[/tex]
Probability of health club members or were smokers is [tex]334[/tex]
Learn more about the probability here:
https://brainly.com/question/28048686
#SPJ4
Drag the tiles to the correct boxes to complete the pairs. Suppose you roll a fair six-sided die. Then you roll a fair eight-sided die. Match each probability to its correct value. the probability that both numbers are odd numbers and their product is greater than 10 the probability that the second number is twice the first number the probability of getting numbers whose sum is a multiple of 4 the probability that the sum of the two numbers is greater than 11 the probability that the second number rolled is less than the first number arrowRight arrowRight arrowRight arrowRight arrowRight
The probability will be:
Case 1 matches with 5/48.
Case 2 matches with 1/12.
Case 3 matches with 1/4.
Case 4 matches with 1/8.
Case 5 matches with 5/16.
How to illustrate the probability?We have a total sample space of six-sided die and an eight sided die.
(1,1),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8)
(2,1),(2,2),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8)
(3,1),(3,2),(3,3),(3,4),(3,5),(3,6),(3,7),(3,8)
(4,1),(4,2),(4,3),(4,4),(4,5),(4,6),(4,7),(4,8)
(5,1),(5,2),(5,3),(5,4),(5,5),(5,6),(5,7),(5,8)
(6,1),(6,2),(6,3),(6,4),(6,5),(6,6),(6,7),(6,8)
Case 1: The Probability that both numbers are odd numbers and their product is greater than 10. are: (3,5),(3,7),(5,3),(5,5),(5,7)
And the total number of outcomes are: 48.
The required probability is 5/48.
Case 2: The probability that the second number is twice the first number are:
(1,2),(2,4),(3,6),(4,8)
And the total number of outcomes are 48.
So, the required probability is 1/12.
Case 3: The probability of a number whose sum is a multiple of 4 are:
(1,3),(1,7),(2,2),(2,6),(3,1),(3,5),(4,4),(4,8),(5,3),(5,7),(6,2),(6,6).
And the total number of outcomes are: 48.
The required probability is 12/48 = 1/4
Case 4: The probability that the sum of two numbers is greater than 11.
(4,8),(5,8),(6,7),(6,8),(5,7),(6,6)
And a total number of outcomes are 48.
So, the required probability is 6/48 = 1/8.
Case 5: The probability that the second number rolled is less than the first number are:
(2,1),(3,1),(3,2),(4,1),(4,2),(4,3),(5,1),(5,2),(5,3),(5,4),(6,1),(6,2),(6,3),(6,4),(6,5)
And the total number of outcomes are: 48.
The required probability is 15/48 = 5/16.
Learn more about probability on:
https://brainly.com/question/24756209
#SPJ1
Devika buys 30 notebooks and 15 pens. Each book costs Rs40 and that of each pen is Rs15. Find out the total amount she spent.
Answer:
1425
Step-by-step explanation:
Each notebook costs 40, if she buys 30 you can find the total price of notebooks by multiplying the two numbers:
[tex]40*20=1200[/tex]
Each pen costs 15, the same process can be used, multiply price by quantity:
[tex]15*15=225[/tex]
Now just sum the two numbers to find the final price:
1425
Answer:
Step-by-step explanation:
30*40+15*15=
1200+625=
Rs1625
hope this helps
To find the quotient of 3 divided by one-sixtto find the quotient three-fourths divided by one-eighth,h, multiply 3 by
The quotient of 3 by 1/ 6 and that of 3/4 by 1/ 8 is 1/2 and 4 respectively
How to find the quotientFrom the given equation, we have to find
= 3/4 ÷ 1/8
First , we take the denominator of the second fraction to be the numerator, we have
=
[tex] \frac{3}{4} \times \frac{8}{1} [/tex]
Multiply through
=
[tex] \frac{24}{4} [/tex]
=
[tex]6[/tex]
To find the quotient of 3 by 1/6
=
[tex]3 \times \frac{1}{6} [/tex]
=
[tex] \frac{3}{6} [/tex]
=
[tex] \frac{1}{2} [/tex]
Thus, the quotient of 3 by 1/ 6 and that of 3/4 by 1/ 8 is 1/2 and 4 respectively
Learn more about quotient here:
https://brainly.com/question/629998
#SPJ1
Here is Dan's recipe for breakfast.200ml of milk,50g of oats,30g of barley,40g of raisins.If he uses 100g of oats,how many grans of barley does he need
Answer:60g
Step-by-step explanation:
Hope this the answer
When an arithmetic expression contains two or more different operators, such as * and , the order in which the operations is done is determined by:_______
When an arithmetic expression contains two or more different operators, such as * and , the order in which the operations is done is determined by: Operator precedence
Precedence is known to be a kind of rule that tells the order in which a specific operations need to be carry out in an arithmetic expression.
The precedence of an operator specifies how tightly it binds two arithmetic expressions together.
In the arithmetic expression 4 + 5 * 3 , the answer is 19 and not 27 because the multiplication (*) operator has a higher precedence than the addition (+) operator.
Operator associativity is nothing but how operators of the same precedence are evaluated in an arithmetic expression. It can be either from left to right or right to left.
Therefore, when an arithmetic expression contains two or more different operators, such as * and , the order in which the operations is done is determined by: Operator precedence
Learn more about operator precedence here:
https://brainly.com/question/27961595
#SPJ4
majorly behind, anyone know the answer?
HELP HURRY pls
Draw the image of AABC under a dilation whose center is P and scale
factor is 3
Please see the explanation of this question to see procedure for the dilation of the triangle ABC and the image attached below to know the result.
How to generated a resulting triangle by transformation rules
In this question we must apply a kind of rigid transformation known as dilation. A dilation of a point around a point of reference is defined by the following operation:
P'(x, y) = O(x, y) + k · [P(x, y) - O(x, y)] (1)
Where:
O(x, y) - Point of referencek - Dilation factorP(x, y) - Original pointP'(x, y) - Resulting pointLet assume that the point P is the origin of a rectangular system of coordinates. Then, the coordinates of the three vertices of the triangle ABC respect to the origin are: A(x, y) = (- 1, 2), B(x, y) = (- 1, - 1), C(x, y) = (2, 0).
Then, the vertices of the resulting triangle A'B'C' are, respectively:
A'(x, y) = (0, 0) + 3 · [(- 1, 2) - (0, 0)]
A'(x, y) = (- 3, 6)
B'(x, y) = (0, 0) + 3 · [(- 1, - 1) - (0, 0)]
B'(x, y) = (- 3, - 3)
C'(x, y) = (0, 0) + 3 · [(2, 0) - (0, 0)]
C'(x, y) = (6, 0)
Finally, we draw the resulting triangle with the help of a graphing tool.
To learn more on dilations: https://brainly.com/question/13176891
#SPJ1
Select the correct answer
The area of a triangle whose height is 1 more than 6 times its base is 13 square feet. If the base of the triangle is xfeet, which equation models
this situation?
A 6x²+x-12=0
B. 6x²+x -13=0
C 6x²+x-26=0
D. 36x² +6x-26= 0
Answer:
Step-by-step explanation:
The area for a triangle is
[tex]A=\frac{1}{2}bh[/tex]
Our base is given as x, the height is given as 1 more than 6 times the base which looks like this: 6x + 1. We know that the area is 13, so filling in everything:
[tex]13=\frac{1}{2} (6x+1)(x)[/tex]
We can get rid of the denominator of 2 by multiplying it on both sides to get:
[tex]26=(6x+1)(x)[/tex] and simplifying a bit:
[tex]26=6x^2+x[/tex]
Now we can move over the 26 and put the expression into standard quadratic form by setting it equal to 0:
[tex]6x^2+x-26=0[/tex] which is choice C
Which graph represents y= cos(2x - π) +5?
The graph that represents y= cos(2x - π) +5 is illustrated below.
What is a graph?It should be noted that a graph simply means a series of connections among variables given.
In this case the graph that represents y= cos(2x - π) +5 is illustrated below.
The graph is attached.
Learn more about graph on:
brainly.com/question/19040584
#SPJ1
What is the value of tan D₂ 12 5 O O O O | | 13 5 12
Answer:
12/5
Step-by-step explanation:
to find tan D you need the opposite and the adjacent sides.
12 is opposite D and 5 is adjacent to D
so using the equation tan=Opposite/adjacent
tanD=12/5
In standard form, 7 (10°) + 4 (10-3) + 5 (10³) is equal to?
in standard form, 7 (10°) + 4 (10-3) + 5 (10³) is equal to 5. 04 × 10 ^3
What is standard form?Standard form is simply a value with an exponential powerl
Given the values;
It is important to note that any number to the power of O is equivalent to 1
So, we have
10^ 0 = 1
4( 10^-3) = 37
5(10^3) = 5000
Now, let's substitute the values
(10°) + 4 (10-3) + 5 (10³)
It is equivalent to
⇒1 + 4 × 10^-3 + 5 × 10^3
⇒1 + 37 + 5000
Add the values
= 5038
Let's convert it to standard form, we have
= 5. 04 × 10 ^3
Thus, in standard form, 7 (10°) + 4 (10-3) + 5 (10³) is equal to 5. 04 × 10 ^3
Learn more about standard form here:
https://brainly.com/question/19169731
#SPJ1
WILL MAKE BRAINLIEST!! Solve for x.
[tex]3x + 2 = 47 \\ 3x = 47 - 2 \\ 3x = 45 \\ x = \frac{45}{3} = 15[/tex]
Find the mean for the given set of data.
-4,-3,-1,-1, 0, 1
-1 1/3
-1
-3/4
The mean for the given set of data exists at -1 1/3.
What is mean?Mean exists an arithmetic average of the data set and it can be estimated by dividing a totality of all the data points by the digit of data points in the data set. It exists a point in a data set that exists as the average of all the data points we keep in a set.
Mean = (Sum of terms) / (Number of elements)
To find the mean, we must add all of the numbers and then divide them by the number of values you were given.
-4 + -3 + -1 + -1 + 0 + 1 = -8
There exist a total 6 number of elements in the set of data.
Mean = (Sum of terms) / (Number of elements)
Mean = (-4 + -3 + -1 + -1 + 0 + 1) / 6
-4 + -3 + -1 + -1 + 0 + 1 = -8
Mean = -8 / 6
= -4/3 = -1 1/3
The mean for the given set of data exists at -1 1/3.
Therefore, the correct answer is option a) -1 1/3.
To learn more about mean refer to:
https://brainly.com/question/1635504
#SPJ9
Emily convinced her mom to buy a giant box of her favorite cereal. Her mom doesn't think the box will fit on their shelf. The volume of the box is 10{,}00010,00010, comma, 000 cm^3
3
cubed. The base of the box is 252525 cm by 101010 cm.
The height of the rectangular cereal box is 40 cm.
How to find height of a rectangular prism?Volume of a rectangular prism = lwh
where
l = lengthw = widthh = heightTherefore,
10000 = 25 × 10 × h
10000 = 250h
h = 10000 / 250
h = 40 cm
learn more on rectangular prism here: https://brainly.com/question/16600853
#SPJ1
Player A throws the ball 25 yards to Player B. After catching the ball, Player B immediately turns 90 degrees to his left
and runs with the ball for 30 yards. At the end of the play, how far away is the ball from where it started? Round your
answer to the nearest whole number.
Answer:
39
Step-by-step explanation:
Will give you brilliantest
If point U is reflected across the x = -3, what are the coordinates of its reflection image?
The coordinates of U after the reflection are: (-5, -3)
How to get the coordinates after the reflection?
By looking at the graph, we can see that the coordinates of point U are:
U = (-1, -3)
And we want to reflect it across the line x = -3.
Notice that because this is a vertical line, the y-component does not change by the reflection. Only changes the x-component, such that the distance between the original coordinates and the final coordinates to the line don't change.
The original x-component is x = -1, the distance to the line is:
d = |-3 - (-1)| = 2 units.
Then the new x-component will also be at 2 units of the line, but in the other direction:
new x-component: x = -3 - 2 = -5
The coordinates of U after the reflection are:
(-5, -3)
If you want to learn more about reflections:
https://brainly.com/question/4289712
#SPJ1
Rotate the rectangle 90° clockwise about the origin.
The coordinates of the new rectangle formed after transformation are; A'(3, -1); B'(6, -1); C'(6, 4); D'(3, 4)
How to carry out rotational transformation?We are told that the original rectangle which I labelled ABCD in the attached image is rotated 90° clockwise about the origin.
Now, from the translation of Rectangle ABCD into A'B'C'D' using the transformation rule in the question, the new coordinates are;
A'(3, -1)
B'(6, -1)
C'(6, 4)
D'(3, 4)
Read more about Rotational Transformation at; https://brainly.com/question/4289712
#SPJ1