Answer:
[tex](a)\ 1.94 * 10 ^{-5},\ \ 1.25 *10 ^{-2},\ \ 6 *10 ^{4},\ \ 8.1 *10^{4}[/tex]
Step-by-step explanation:
Given
[tex](a)\ 1.94 * 10 ^{-5},\ \ 1.25 *10 ^{-2},\ \ 6 *10 ^{4},\ \ 8.1 *10^{4}[/tex]
[tex](b)\ 1.94 * 10 ^{-5},\ \ 6 * 10^4, \ \ 8.1 *10^{4},\ \ 1.25 *10 ^{-2}[/tex]
[tex](c)\ 1.94 * 10 ^{-5}, \ \ 8.1 *10^{4},\ \ 6 * 10^4,\ \ 1.25 *10 ^{-2}[/tex]
[tex](d)\ 1.94 * 10 ^{-5},\ \ 1.25 *10 ^{-2}, \ \ 8.1 *10^{4},\ \ 6 * 10^4[/tex]
Required
Which list is in ascending order
To do this, we analyze each of the options 1 after the other.
[tex](a)\ 1.94 * 10 ^{-5},\ \ 1.25 *10 ^{-2},\ \ 6 *10 ^{4},\ \ 8.1 *10^{4}[/tex]
Convert each list item to decimal
[tex]1.94 * 10 ^-5 = 0.0000194[/tex]
[tex]1.25 *10 ^-2 = 0.0125[/tex]
[tex]6 *10^{4} = 60000[/tex]
[tex]8.1 *10^{4} = 81000[/tex]
The list is in ascending order because:
[tex]0.0000194 < 0.0125 < 60000 < 81000[/tex]
No need to test other options
A map has a scale of 3 cm and 20 cm which statement is true or false two cities are actually 66 cm part are9.9 cm part
please help it's definitely not E and i'm pretty sure it's not C
HELPPP ILL MARK YOU THE BRAINLYEST
Please help no links!!!
To prove the circles are similar, which sequence of transformations will map circle A with center (-5, -4) and radius 18 to circle M with center (-2, 3) and radius 6?
Question 15 options:
Translate <3, 7> then dilate by scale factor of 3
Translate <-3, -7> then dilate by scale factor of 3
Translate <-3, -7> then dilate by scale factor of 1/3
Translate <3, 7> then dilate by scale factor of 1/3
Answer:
Translate <3, 7> then dilate by scale factor of 1/3Step-by-step explanation:
-2 - (-5) = 3
3 - (-4) = 7
6/18 = 1/3
The sequence of transformation that will map the circle would be:
D). Translate <3, 7> then dilate by a scale factor of 1/3
Define dilationDilation is denoted as the process in which an object gets expanded or widened.
Given that,
Center of circle A = (-5, -4)
Radius = 18
Center of circle M = (-2,3)
To find the dilation,
⇒ [tex]-2 - (-5) = 3[/tex]
⇒ [tex]3 - (-4) = 7[/tex]
= [tex]6/18[/tex]
[tex]= 1/3[/tex]
Therefore, the translation will happen with <3, 7> and the dilation in the scale factor being 1/3.
Thus, option D is the correct answer.
Learn more about "Scale Factor" here:
brainly.com/question/22644306
Bobo and the Bouncing Ball Math Problem
Please help me solve it. There are 3 questions, question 1, 2, and the Einstein problem.
WORTH 20 POINTS!
This doesn’t include the Einstein problem cause I didn’t have that one.
Answer:
1)0.125
2)127.825
Step-by-step explanation:
this is standard form (9x10 to the power of -4) to the power of 2
Answer:
9×10 to the power of -8
Step-by-step explanation:
Cause when we add power to the power we multiply them
For example [tex](2^{2} )^2[/tex] , we multiply the power so , 2×2= 4 so [tex](2^{2} )^2[/tex] = [tex]2^{4}[/tex]=16
Same here [tex]((9*10)^{-4} )^2[/tex] we multiply the powers so -4×2=-8
So [tex]((9*10)^{-4} )^2[/tex] =[tex](9*10)^{-8}[/tex] = 2.323×[tex]10^{-16}[/tex]
-4x+y=6 -5x-y=21 solve by substiution
Answer:
55
Step-by-step explanation:
55 is your answer
Answer:
Step-by-step explanation:
Subtract
2
y
from both sides of the equation.
x
=
12
−
2
y
−
x
=
−
y
−
6
Replace all occurrences of
x
with
12
−
2
y
in each equation.
Tap for more steps...
−
12
+
2
y
=
−
y
−
6
x
=
12
−
2
y
Solve for
y
in the first equation.
Tap for more steps...
y
=
2
x
=
12
−
2
y
Replace all occurrences of
y
with
2
in each equation.
Tap for more steps...
x
=
8
y
=
2
The solution to the system is the complete set of ordered pairs that are valid solutions.
(
8
,
2
)
The result can be shown in multiple forms.
Point Form:
(
8
,
2
)
Equation Form:
x
=
8
,
y
=
2
A swing hangs from a beam 10 feet high, with the seat hanging 2 feet above the ground. In motion, the swing moves back and forth from -130° to -50° to the horizontal. How far forward and back does the swing move along the ground at the extremes?
Answer:
11.17 ft
Step-by-step explanation:
Since the swing hangs from a beam 10 feet high with the seat hanging 2 feet above the ground, the swing moves in an arc of radius r = 10 ft - 2 ft = 8 ft.
Now, since the swing moves back and forth from -130° to -50° to the horizontal, the length of arc L it moves in is given by
L = Δθ/360 × 2πr where Δθ = change in angle of the swing = θ₂ - θ₁ where θ₁ = -50° and θ₂ = -130°. So, Δθ = θ₂ - θ₁ = -130° -(-50°) = -130° + 50° = -80°.
Substituting r and Δθ into L, we have
L = -80°/360° × 2π(8 ft)
= -8/36 × 16π ft
= -32π/9 ft
= -100.53/9 ft
= -11.17 ft
Ignoring the negative sign, the length of arc L = 11.17 ft. So, the swing moves back and forth 11.17 ft
The Grade 8 learners decided to start living more healthily. They will either jog or cycle.
There are 125 Grade 8 learners and they jog and cycle in the ratio 3:2. Calculate how many
learners participate in each sport?
Step-by-step explanation:
(125/5)×3=75
75 participate jogging
25×2=50
50 participate in cycling
Write two numbers that multiply to the value on top and add to the value on the bottom.
Answer:
6 and 2
Step-by-step explanation:
6 times 2 is 12 and 6 plus 2 is 8
Liz flips a coin 70 times. The coin lands heads up 42 times and tails up 28 times. Complete each statement.
Answer:
There are no statements
Step-by-step explanation:
If you put up the statements, I'll edit my answer
To find one half of 56 you would use what operation ?
Answer:
Division to get 28
Step-by-step explanation:
Find the area of the shaded polygons
Answer:
40 Square Units
Step-by-step explanation:
Easy way to find area: Diagonal 1 * Diagonal 2 divide by 2 = your answer
Diagonal 1 (AC) = 5 + 5 = 10
Diagonal 2 (BD) = 4 + 4 = 8
10 + 8 = 80, 80/2 = 40
Answer: 40 square units
The cargo hold of a truck is a rectangular prism measuring 18 feet by 13.5 feet by 9 feet. The driver needs to figure out how many storage boxes he can load. Choose true or False for each statement.
Answer:
B
Step-by-step explanation:
The solution is
Option A - True
The volume of the rectangular cargo is 2187 feet³
Option B - True
The volume of the rectangular cargo is 2187 feet³
Option C - True
The volume of the rectangular cargo is 2187 feet³
Option D - True
The volume of the rectangular cargo is 2187 feet³
What is the Volume of a Rectangle?
The volume of the rectangle is given by the product of the length of the rectangle and the width of the rectangle and the height of the rectangle
Volume of Rectangle = Length x Width x Height
Volume of Rectangle = Area of Rectangle x Height
Given data ,
Let the cargo hold be a rectangular prism
Now , the dimensions of the rectangular prism is
18 feet x 13.5 feet x 9 feet
And , the Volume of Rectangle = Length x Width x Height
Substituting the values in the equation , we get
Volume of Rectangle = 18 x 13.5 x 9
Volume of Rectangle = 2187 feet³
a)
The number of boxes = 6
The dimensions of the cargo be = 9 feet x 4.5 feet x 9 feet
So , the volume of the cargo = number of boxes x 9 x 4.5 x 9
On simplifying the equation , we get
Volume of the cargo = 6 x 364.5
Volume of the cargo = 2187 feet³
b)
The number of boxes = 81
The dimensions of the cargo be = 3 feet x 3 feet x 3 feet
So , the volume of the cargo = number of boxes x 3 x 3 x 3
On simplifying the equation , we get
Volume of the cargo = 81 x 27
Volume of the cargo = 2187 feet³
c)
The number of boxes = 24
The dimensions of the cargo be = 4.5 feet x 4.5 feet x 4.5 feet
So , the volume of the cargo = number of boxes x 4.5 x 4.5 x 4.5
On simplifying the equation , we get
Volume of the cargo = 24 x 91.125
Volume of the cargo = 2187 feet³
d)
The number of boxes = 12
The dimensions of the cargo be = 9 feet x 4.5 feet x 4.5 feet
So , the volume of the cargo = number of boxes x 9 x 4.5 x 4.5
On simplifying the equation , we get
Volume of the cargo = 12 x 182.25
Volume of the cargo = 2187 feet³
Hence , the volume of the rectangular cargo is 2187 feet³
To learn more about volume of rectangle click :
https://brainly.com/question/25422723
#SPJ2
What is the slope of the line that contains the points (6,4) and (13,5)
Answer: 1/7
Step-by-step explanation:
Answer:
(4,2) (11,3)
Step-by-step explanation:
A newspaper report claims that 30\%30%30, percent of all tea-drinkers prefer green tea to black tea. Leo is the office manager at a company with thousands of employees. He wonders if the newspaper’s claim holds true at his company. To find out, Leo asks a simple random sample of 125125125 tea-drinking employees which they prefer: green tea or black tea.
Complete question :
A newspaper report claims that 30% of all tea-drinkers prefer green tea to black tea. Dr. Huber is the office manager at a company with thousands of employees. He wonders if the newspaper's claim holds true at his company. To find out, Dr. Huber asks a simple random sample of 125 tea-drinking employees which the prefer: green tea of black tea. Here's Dr. Huber's null hypothesis: H_0 : The proportion of all tea-drinkers at the company that prefer green tea to black tea is...
What is an appropriate way for Dr. Huber to finish his null hypothesis?
A. ...equal to 30%
B. ...less than 30%
C. ...greater than 30%
D. ...not equal to 30%
Answer:
A. ...equal to 30%
Step-by-step explanation:
Given the incomplete hypothesis statement for the Null ;
The null hypothesis: H_0 is declared as : The proportion of all tea-drinkers at the company that prefer green tea to black tea equal 30
The alternative hypothesis on the other side is the opposite statement or hypothesis.
what are the intercepts of this function f(x)= -x^2 + 6x - 5
Which is the value of x?
Answer:
lower Right.
Step-by-step explanation:
Remark
The two angles share the same side of vertically opposite angles. That makes them supplementary which means the two angles add to 180 degrees.
Equation
4x + 8x + 12 = 180 Combine like terms on the left
Solution
12x + 12 = 180 Subtract 12 from both sides12x = 180 - 12 Combine12x = 168 Divide by 12x = 168/12x = 14Please help me with this!!
4x+2=150 150-2=148 148/4= 37
Answer:
37
Step-by-step explanation:
first option, 37..................................................................................................................................................................................................................................................................................................
[Inequalities]
Please help and thanks.
Answer:
9)m≤54
11)x>30
13)y≤40
Step-by-step explanation:
9)m−18≤36
Add 18 to both sides.
m≤36+18
Add 36 and 18 to get 54.
m≤54
11)9x>270
Divide both sides by 9. Since 9 is positive, the inequality direction remains the same.
x=270/9
Divide 270 by 9 to get 30.
x>30
13)y/5≤8
Multiply both sides by 5. Since 5 is positive, the inequality direction remains the same.
y≤8×5
Multiply 8 and 5 to get 40.
y≤40
In ΔXYZ, z = 49 inches, ∠X=9° and ∠Y=108°. Find the area of ΔXYZ, to the nearest square inch.
Answer:
200
Step-by-step explanation:
delta math
its 200.456 before rounding
Help ASAP!
553.168 L = mL
explain how to write an equivalent expression using the distributive property 2(11+y)
Answer:
Sample Response: To use the distributive property, distribute multiplication by 2 to both terms inside the parentheses. The products are 2(11) and 2(y). The equivalent expression is 22 + 2y
Step-by-step explanation:
you're welcome
Nicky is trying to drink 2.5 liters of water a day. She drank 0.878 liters after breakfast,
1.2 liters after lunch, and 0.75 liters before dinner. How much did she drink
all together?
Answer:
2.8 liters
She drank 2.8 liters all together.
Step-by-step explanation:
0.878+1.2+0.75= 2.8
Nicky drank a total of 2.828 liters of water throughout the day.
To find out how much water Nicky drank altogether, you can add up the amounts of water she drank throughout the day.
0.878 liters after breakfast.
1.2 liters after lunch.
0.75 liters before dinner
Adding these values together:
0.878 + 1.2 + 0.75 = 2.828
Therefore, Nicky drank a total of 2.828 liters of water throughout the day.
To learn more on Addition click:
https://brainly.com/question/29560851
#SPJ6
LOOK BELOW AT THE PICTURE
Answer:
C. 1796.08 [tex]in^2[/tex]
Step-by-step explanation:
Area of circle is [tex]\pi r^2[/tex], r is the radius
remember radius is from the center to the edge, so it is half the diameter
now we need to find the area of the large circle (table) minus the small circle (hole)
the radius of the large circle is 48/2 which is 24
the area is [tex]\pi 24^2[/tex] replacing r in the formula with 24, the radius. Using 3.14 as pi, the answer is 1808.64
the radius of the small circle is 4/2 which is 2
the area is [tex]\pi 2^2[/tex] so the calculated value would be 12.56
now subtract the area of the hole (small circle) from the area of the table (large circle)
1808.64 - 12.56 = 1796.08
and there's your answer
hope that helps, lmk if it doesn't :)
Answer:
Step-by-step explanation:
r₁ = radius of tabletop = 24 in
r₂ = radius of hole = 2 in
area of hole = πr₂² = 4π in²
area of tabletop = πr₁² - πr₂² = 576π - 4π = 572π ≈ 1796.08 in²
what is the m<2 = ?
Answer:
m∠2=9
Step-by-step explanation:
Hello There!
The problem states that the angles are complementary angles
Complementary angles are angles that have measures that add up to equal 90
So given one of the angles we can find the missing angle by subtracting the known angle from 90
90 - 81 = 9
so we can conclude that the measure of angle 2 is 9
The sum of 2/3m and 1/5
plzzzz help meee.......
Answer: [tex]-3\hat{i}-6\hat{j}+2\hat{k}[/tex]
Step-by-step explanation:
Given
[tex]\vec{a}=2\hat{i}+4\hat{j}-5\hat{k}\\\vec{b}=\hat{i}+\hat{j}+\hat{k}[/tex]
[tex]\vec{c}=\hat{j}+2\hat{k}[/tex]
The addition of the three is [tex]\vec{a}+\vec{b}+\vec{c}[/tex]
[tex]\vec{a}+\vec{b}+\vec{c}=(2\hat{i}+4\hat{j}-5\hat{k})+(\hat{i}+\hat{j}+\hat{k})+(\hat{j}+2\hat{k})[/tex]
[tex]\vec{a}+\vec{b}+\vec{c}=3\hat{i}+6\hat{j}-2\hat{k}[/tex]
vector opposite to the vector [tex]\vec{a}+\vec{b}+\vec{c}\ \ \text{is}\ -(\vec{a}+\vec{b}+\vec{c})[/tex]
[tex]\therefore -(\vec{a}+\vec{b}+\vec{c})=-3\hat{i}-6\hat{j}+2\hat{k}[/tex]
hi please help i’ll give brainliest
how many solutions d+6+2d=4d+9