Answer:
x (weeks). 0. 1. 2. 3. 4 y (savings in dollars). 25. 30. 35. 40. 45. The relationship is linear but ... 5. 6 slope = unit rate = 2 words/min slope = unit rate = 0.4 ft/s y = 1_. 2 x. Unit 2. 182 ... Write an equation that represents the proportional relationship shown in ... does not charge a fixed rate but charges $1.00 per mile.
Step-by-step explanation
slope: 2 y-intercept_-_Equation: y=2x-1 4.slope: 13 y-intercept_l Equatio ... Mo Parallel to y= -5x+8 __y=-5x+1) (same slope) m= -5. No slope ... (no y value, only x-value) denominator 0 ... The amount y (in cups) of flour is proportional to the number x of eggs in a recipe. ... Write an equation that represents the situation.
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
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
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
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.
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
Please help me with this!!
4x+2=150 150-2=148 148/4= 37
Answer:
37
Step-by-step explanation:
first option, 37..................................................................................................................................................................................................................................................................................................
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 = 14Suppose that P(n) is a propositional function. Determine for which nonnegative integers n the statement P(n) must be true if a) P(0) is true; for all nonnegative integers n, if P(n) is true, then P(n 2) is true. b) P(0) is true; for all nonnegative integers n, if P(n) is true, then P(n 3) is true. c) P(0) and P(1) are true; for all nonnegative integers n, if P(n) and P(n 1) are true, then P(n 2) is true. d) P(0) is true; for all nonnegative integers n, if P(n) is true, then P(n 2) and P(n 3) are true
Solution :
a). [tex]$P(0)$[/tex] is true
Then ,[tex]$P(0+2)=P(2)$[/tex] is true.
[tex]$P(2+2)=P(4)$[/tex] is true
[tex]$P(4+2)=P(6)$[/tex] is true.
Therefore, we see that [tex]$P(n)$[/tex] is true for all the even integers : [tex]$\{0, 2,4,6,...\}$[/tex]
b). [tex]$P(0)$[/tex] is true
Then ,[tex]$P(0+3)=P(3)$[/tex] is true.
[tex]$P(3+3)=P(6)$[/tex] is true
[tex]$P(6+3)=P(9)$[/tex] is true.
Therefore, we see that [tex]$P(n)$[/tex] is true for all the multiples of 3 : [tex]$\{0, 3,6,9,12,...\}$[/tex]
c). [tex]$P(0)$[/tex] and [tex]$P(1)$[/tex] is true, then [tex]$P(0+2)=P(2)$[/tex] is true
[tex]$P(1)$[/tex] and [tex]$P(2)$[/tex] is true, then [tex]$P(1+2)=P(3)$[/tex] is true.
[tex]$P(2)$[/tex] and [tex]$P(3)$[/tex] is true, then [tex]$P(2+2)=P(4)$[/tex] is true.
So, we observe that [tex]$P(n)$[/tex] is true for all the non- negative integers : [tex]$\{0, 1,2,3,4,5,6,...\}$[/tex].
d). [tex]$P(0)$[/tex] is true,
So, [tex]$P(0+2)$[/tex] and [tex]$P(0+3)$[/tex] is true or [tex]$P(2)$[/tex] and [tex]$P(3)$[/tex] is true.
Now, [tex]$P(2)$[/tex] is true.
Again, [tex]$P(2+2)$[/tex] and [tex]$P(2+3)$[/tex] is true or [tex]$P(4)$[/tex] and [tex]$P(5)$[/tex] is true.
Now, [tex]$P(3)$[/tex] is true.
Again, [tex]$P(3+2)$[/tex] and [tex]$P(3+3)$[/tex] is true or [tex]$P(5)$[/tex] and [tex]$P(6)$[/tex] is true.
Thus,
[tex]$P(n)$[/tex] is true for all the non- negative integers except 1 : [tex]$\{0, 2,3,4,5,6,...\}$[/tex].
A carton of ice cream has a radius of 11 cm and a height of 30 cm. A scoop of ice cream has a radius of 3 cm. How many cartons of ice cream should Ester order to make 100 scoops?
Answer:
1 carton
Step-by-step explanation:
The volume of the carton: ~11404 cm^3
The volume of 1 scoop: ~113.1 cm^3
100 scoops --> 113.1 x 100 = ~11310 cm^3
11310<11404 --> ester will need 1 carton because 100 scoops won't fill more than one.
Hope this helped! :)
A toy manufacturer is shipping its newest product, an interactive talking globe, to a major toy store. The packaging for the globe is a rectangular prism that measures 2512 2512 inches high, 18 inches long, and 18 inches wide. The boxes for the globes are packaged into shipping crates that hold 8 globes each. What is the minimum volume of one shipping crate? Explain your answer in the space provided.
Answer:
6 511 104 in³
Step-by-step explanation:
Since we have 1 crate and 8 boxes fit into one crate.
So, volume of one crate, V' = 8 × volume of 1 box, V
Since the box is a rectangular prism of sides 2512 inches high, 18 inches long, and 18 inches wide, its volume, V = lwh where l = length of prism, h = height of prism and w = width of prism.
So, V = lwh = 18 in × 18 in × 2512 in = 813 888 in³
So, V' = 8 × 813 888 in³ = 6 511 104 in³
So, the minimum volume of the crate is 6 511 104 in³
Please help no links!!!
how many solutions d+6+2d=4d+9
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
hi please help i’ll give brainliest
what are the intercepts of this function f(x)= -x^2 + 6x - 5
-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
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 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
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:
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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
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To find one half of 56 you would use what operation ?
Answer:
Division to get 28
Step-by-step explanation:
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
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]
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
Help ASAP!
553.168 L = mL
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.
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The sum of 2/3m and 1/5
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]
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
[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