Suppose you are constructing a scale model solar system using a scale ratio of 1 to 10 billion. In your scale model what will be the diameter of Jupiter (in meters)? The diameter of jupiter is 143,000 km
A) 0.00143 m B) 0.0143 m C) 0.143 m D) 0.000143m
Answer:
Step-by-step explanation:
First convert km to meters
143000 km = 143,000,000m = 1.43*10^8 m
Now convert 10 billion to scientific notation1 00
10 billion = 1 * 10^10
What this means is that 1 * 10^10 meters in outer space = 1 meter for the scale model.
Now show what the ratio is for
1.43*10^8
======== Divide by the denominator
1 * 10^10
1.43 * 10^(8 - 10)
1.43 * 10 ^ - 2 meters
Answer: 0.0143m or B
Marcus plays a game in which he spins a spinner over and over again. The spinner has 4 equally sized sections labeled E, F, G, and H.
Spinning an E six times means the game is over.
Marcus uses a uniform probability model to predict the number of times the spinner will be spun before the letter E appears 6 times.
What is Marcus's prediction for the number of total spins before the letter E appears 6 times?
O 10 spins
O 18 spins
O 24 spins
O 30 spins
Marcus's prediction for the number of total spins before the letter E appears 6 times is C. 24 spins.
How to calculate the prediction?From the information given, the The spinner has 4 equally sized sections labeled E, F, G, and H and spinning an E six times means the game is over.
Therefore, the prediction will be:
= 4 × 6
= 24
In conclusion, the correct option is 24.
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Answer: The answer is C 24 spins
Explanation: I took the test and it was right
Hope this helps
Pls help! Which function models the relationship shown by the line?
A y=-3x + 2
B y= 1/3x + 2
C y=-3x + 6
D y=-1/3x + 6
Q: Resolve into factor:
xy+x+y+1
xy+x+y+1
x(y+1) +1(y+1)
(y+1)(x+1)=0
y+1=0 and x+1=0
x=-1 and y=-1
factor are (y+1) and (x+1)
1) Which of the containers has a greater volume? Explain your answer by showing your work. Round your answers to the nearest whole number
2) Which of the containers has a greater surface area? Explain your answer by showing your work. Round your answers to the
nearest whole number
Answer:
1. The cylinder has a greater volume of 352 cm to 240 cm for the rectangular prism. Work shown below. Place into your own words.
2. The cylinder has a greater surface area than the rectangular prism at 276 cm instead of 268 cm. Work shown below. Place into your own words.
Step-by-step explanation:
First you have to know the formula for the Volume of the objects
For rectangular prism its: Width x Length x Height
For a cylinder its: Height x pi x Radius^2
With this information you can plug in the information that you already have
For rectangular prism: 10 cm x 8 cm x 3 cm = 240 cm
For the cylinder you have to find radius since its not given to you, while your diameter is, so your radius is diameter/2
For the cylinder: 7 cm x pi (3.14) x 4 cm^2 = 351.858 or 352 cm
1. So therefore, the cylinder has a greater volume because it is greater in centimeters
For the second question, the formula are changed since its now asking for Surface Area
You have to remember that surface area is all the surfaces that are outside the prism, or all the surfaces of the object
Surface Area formula for a rectangular prism is: 2( wl + hl + hw)
Surface Area formula for a cylinder is: 2πrh+2πr^2
All you have to do now is plug in your information
SA for rectangular prism: 2 ((10x8) + (3x8) + (10x3)) = 2 ((80) + (24) + (30)) =
2 (134) = 268 cm
SA for a cylinder: 2 x pi (3.14) x 4 x 7 + 2 x pi (3.14) x 4^2 = 175.929 + 100.531 = 276.460 or just 276 cm
So once again, the cylinder has a greater surface area than the rectangular prism
What is the measure of Angle z in this figure?
Two intersection lines. All four angles formed by the intersecting lines are labeled. Clockwise, the angles are labeled 124 degrees, x degrees, y degrees, and z degrees.
Remember the formula for finding the missing degree in a straight line (with two supplementary angles)? Use ∠1 + ∠2 = 180∘
Tip: Use z° and 124°.
124°
90°
180°
56°
[tex]\qquad \qquad\huge \underline{\boxed{\sf Answer}}[/tex]
According to given question, Angle z and 124° forms linear pair,
so,
[tex]\qquad \sf \dashrightarrow \: 124 \degree + z = 180 \degree[/tex]
[tex]\qquad \sf \dashrightarrow z = \: 180 \degree - 124\degree[/tex]
[tex]\qquad \sf \dashrightarrow z = \: 56 \degree [/tex]
Determine whether the graph represents a linear or nonlinear function.
function, because the graph
is or is not a line.
The graph represents a linear function, because the graph is a line.
Linear basically means straight line. If you look at the line, it always goes left once and up once and this is always the same. This means the graph follows the equation of y = mx + c and so is linear. In this case, the equation is y = -x + 1
1. The area of a circle is 60 square units. What is the area of ...
of the circle.
50% of the circle
Answer:
30
Step-by-step explanation:
60=whole
60/2=30
pls help,???????????
Answer:
C
Step-by-step explanation:
Find the value of the expression: a p^2q^2+pq–q^3–p^3 for p=4 and q=−4
Answer:
240
Step-by-step explanation:
To evaluate the expression for specific numerical values, put the numbers in place of the corresponding variables, and do the arithmetic. A calculator or spreadsheet can help you with this.
p^2q^2+pq–q^3–p^3
= 4²(-4)² +4(-4) -(-4)³ -4³
= 4⁴ -4² +4³ -4³
= 4²(4² -1) = 16(15) = 240
The value of the expression is 240.
Rohan walks around the edge of a cirular lake exactly 15 times. If he walks around 2517 m in total, what is the diameter of the lake?
Answer:
Diameter = 53.41 m
Step-by-step explanation:
2517/15 = 167.8 (circumference)
D=(C/pi)
C/pi = 53.41
D= 53.41
Chose all the shapes that have opposite sides the same length
Simplify the expression: |–16| A. -16 B. -15 C. 15 D. 16
Answer: D
Step-by-step explanation:
The correct answer is D because absolute value is the distance a number is from 0, which in this case is 16. Absolute value cannot be negative as a distance cannot be negative.
Answer:
D
Step-by-step explanation:
absolute value is how far it is from 0, so any negative number is just the same number but positive. think of it like distance, something can be 10 inches to the right, or to the left. absolute value doesn't care which direction it goes, noon y absolute would call the left -10
PLS HELP ME, PLS THIS IS DUE FIRST CORRECT ANSWER GETS BRAINLIEST
Answer:
A C D F
Step-by-step explanation
just trust me
I will give 5 points
Prove the identity \frac { \sin ^ { 3 } \theta + \cos ^ { 3 } \theta } { \sin \theta + \cos \theta } = 1 - \sin \theta \cdot \cos \theta
Use the sum of cubes factoring rule
[tex]a^3 + b^3 = (a+b)(a^2 - ab + b^2)[/tex]
to transform the left hand side into the right hand side.
[tex]\frac { \sin^{3} \theta + \cos^{3} \theta } { \sin \theta + \cos \theta } = 1 - \sin \theta \cdot \cos \theta\\\\\frac { (\sin \theta + \cos \theta)(\sin^2 \theta - \sin \theta \cdot \cos\theta + \cos^2 \theta) } { \sin \theta + \cos \theta } = 1 - \sin \theta \cdot \cos \theta\\\\[/tex]
[tex]\sin^2 \theta - \sin \theta \cdot \cos\theta + \cos^2 \theta = 1 - \sin \theta \cdot \cos \theta\\\\(\sin^2 \theta + \cos^2\theta)- \sin \theta \cdot \cos\theta = 1 - \sin \theta \cdot \cos \theta\\\\1- \sin \theta \cdot \cos\theta = 1 - \sin \theta \cdot \cos \theta \ \ \checkmark\\\\[/tex]
Throughout the entire process, the right hand side stayed the same.
On the last step, I used the pythagorean identity.
if p is true and q is false, the p —> q is (blank) true.
options: always, sometime, never
Answer:
If p is true and q is false, the p -> q is always true
Step-by-step explanation:
Which statements about mass are true?
Select each correct answer.
One kilogram is 1,000 times less than one gram.
One kilogram is 100 times greater than one gram.
Grams are greater than kilograms.
One kilogram is 1,000 times greater than one gram.
One kilogram is 100 times less than one gram.
Kilograms are greater than grams
The statement that is true about mass are:
One kilogram is 1,000 times greater than one gram.Kilograms are greater than gramsWhat is mass?The mass is the physical measuring quantity that measures the weight or body inertia of a substance.
It also pinpoints the strength of an object's gravitational abstraction to other bodies.
The unit of mass can be expressed in;
KilogramgramA kilogram usually contains 1000 grams. Thus, we can conclude that:
One kilogram is 1,000 times greater than one gram.Kilograms are greater than grams.Learn more about mass here:
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Please I need help only 1-4
Pythagorean theorem
Answer:
Question 1
This is a special triangle as the angles are 30-60-90
This means that the sides have a special ratio of
1 : √3 : 2 = short leg : long leg : hypotenuse
So the hypotenuse is twice the length of the short leg,
and the long leg is √3 times the length of the short leg.
Given:
short leg = xlong leg = yhypotenuse = 30⇒ x = 30 ÷ 2 = 15
⇒ y = 15 × √3 = 15√3
Question 2
The sum of the interior angles of a triangle is 180°. Therefore the unknown angle of the triangle is 60°.
So again, this is a special 30-60-90 triangle, and we can use the same method as question 1 above.
Given:
short leg = 5long leg = xhypotenuse = y⇒ x = 5 × √3 = 5√3
⇒ y = 5 × 2 = 10
Question 3
Pythagoras' Theorem: a² + b² = c²
(where a and b are the legs, and c is the hypotenuse, of a right triangle)
To find x:
Given:
a = 8b = 6c = x⇒ 8² + 6² = x²
⇒ x² = 100
⇒ x = √100
⇒ x = 10
To find y:
Given:
a = 5b = x = 10c = y⇒ 5² + 10² = y²
⇒ y² = 125
⇒ y = √125
⇒ y = 5√5
Question 4
Pythagoras' Theorem: a² + b² = c²
(where a and b are the legs, and c is the hypotenuse, of a right triangle)
To find x:
Given:
a = 5b = 12c = x⇒ 5² + 12² = x²
⇒ x² = 169
⇒ x = √169
⇒ x = 13
To find y:
Given:
a = yb = x = 13c = 14⇒ y² + 13² = 14²
⇒ y² + 169 = 196
⇒ y² = 27
⇒ y = √27
⇒ y = 3√3
In March 2018, the Buffalo Bills signed Star Lotulelei to a contract reportedly worth $50 million. Lotulelei’s salary (including bonuses) was to be paid as $17.1 million in 2018, $8.9 million in 2019, $7.5 million in 2020, and $8.25 million in 2021 and 2022. If the appropriate interest rate is 11 percent, what kind of deal did the defensive tackle sack? Assume all payments are paid at the end of each year.
Using simple interest, it is found that his salaries are as follows:
$18.981 million in 2018.$10.858 million in 2019.$9.975 million in 2020.$11.88 million in 2021.$12.7875 million in 2022.Simple InterestSimple interest is used when there is a single compounding per time period.
The amount of money after t years in is modeled by:
[tex]A(t) = A(0)(1 + rt)[/tex]
In which:
A(0) is the initial amount.r is the interest rate, as a decimal.In this problem, considering the time from the beginning of 2018, and the interest rate of r = 0.11, his salaries for each year are given by:
[tex]A(1) = 17.1[1 + 0.11(1)] = 18.981[/tex]
[tex]A(2) = 8.9[1 + 0.11(2)] = 10.858[/tex]
[tex]A(3) = 7.5[1 + 0.11(3)] = 9.975[/tex]
[tex]A(4) = 8.25[1 + 0.11(4)] = 11.88[/tex]
[tex]A(5) = 8.25[1 + 0.11(5)] = 12.7875[/tex]
Hence, his salaries are as follows:
$18.981 million in 2018.$10.858 million in 2019.$9.975 million in 2020.$11.88 million in 2021.$12.7875 million in 2022.More can be learned about simple interest at https://brainly.com/question/25296782
como escribir 0.4 en fraccion?
Answer:
Calculando una fracción decimal : 0.4=410.
El resultado del cálculo es : 0.4=25.
Step-by-step explanation:
espero que ayude
4/10
0.4/1 * 10
= 4/10
Which table represents a linear function?
х
1
х
1
2
3
4
y
3
6
12
24
у
2
5
9
14
х
1
2
3
4
y
-3
-5
-7
-9
N
AWN
3
4
O
Х
y
1
2
3
4
Inolt
-2
-4
-2
0
Answer: the first one, top left corner
Step-by-step explanation:
The last table has a constant slope of -3, hence it represents a linear function.
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
To determine that, we must check which of the table has a constant rate of change
Looking at the last table;
Slope = -4-(-2)/2-1
Slope = -4+1/1
Slope = -3
Since the last table has a constant slope of -3, hence it represents a linear function.
Hence, the last table has a constant slope of -3, hence it represents a linear function.
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Can you help me please
Answer:
10 times
Step-by-step explanation:
3 x 10³ = 3,000
30,000 / 3,000 = 10
Eroy collected data on the number of hours that each staff member at Eroy's Electronics slept Thanksgiving night. Mary the Manager slept for 999 hours, Cam the Cashier slept for 333 hours, Teddy the Truck Driver slept for 777 hours, and Sierra the Security Guard slept for 444 hours.
Find the median number of hours of sleep.
hours
Answer:
610.5
Step-by-step explanation:
First, we have to organize the data. We know that:
Mary the Manager slept for 999 hours,
Cam the Cashier slept for 333 hours,
Teddy the Truck Driver slept for 777 hours,
Sierra the Security Guard slept for 444 hours.
Next, we have to the the median number of hours of sleep.
To find the median:
First, we have to order the numbers from least to greatest. In this problem that is 333, 444, 777, 999. in an odd amount of numbers, like 5, the middle number is the median. In this case, however, there is not an odd amount of numbers, there are 4 numbers. Which means, we have to do the odd number equation:
We have to add the two middle numbers, which are 444, and 777 together, which results in 1,221. Finally, we must divide the result in half, which gives us out final total of 610.5
Hope this helped!
The length of a radius of a circle, measured in feet, is represented by the expression Z +3.6 the diameter of the circle is 11 4/5 Ft. what is the value of Z enter your answer as a decimal or mixed number in simplest form in the box
Answer: 2 3/10
Step-by-step explanation: I got it correct on k12 .
The value of Z is 2.3 (as a decimal) or 2 3/10 (as a mixed number in simplest form).
What is a diameter?The diameter of a circle or sphere is the length of a straight line that passes through the center of a body or figure, notably a circle or sphere.
The diameter of the circle is 11 4/5 ft, which can be written as:
11 4/5 ft = 11 + 4/5 ft = (11 x 5)/5 + 4/5 ft = 55/5 + 4/5 ft = 59/5 ft
The formula to calculate the radius of a circle using the diameter is:
radius = diameter/2
So, the radius of the circle is:
radius = (59/5)/2 = 59/10 ft
Now, we can use the given expression to represent the radius in terms of Z:
radius = Z + 3.6
Substituting the value of the radius, we get:
59/10 = Z + 3.6
Subtracting 3.6 from both sides, we get:
59/10 - 3.6 = Z
Multiplying both sides by 10, we get:
Z = 59/10 - 36/10
Z = 23/10
Therefore, Z = 2 3/10.
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What 5/6 and 4 2/7 product.
Answer:
4 5/32
Step-by-step explanation:
Hope this helps, if it does, can I have brainliest?
Help please I beg please find the area of the rectangle to the right
Answer:
78y+26
Step-by-step explanation:
Area = LW
(3y+1)(26)
78y+26
Answer:
76y + 26 miles²
Step-by-step explanation:
A = L x W
A = 26 x (3y + 1)
A = (76y + 26) miles²
I hope this helped!
I need help with this please
Answer:
A.1.1-1=1
2.22-2=20
3.20-10=10
4.23-12=8
5.200-50=150
PLS HELP I WILL MARK BRAINLIST!!!!
Answer:
a -10 b -5
Step-by-step explanation:
branelest pleas
In a cafeteria,
1/6
of the students are eating salads , and
2/6
are eating sandwiches. There are 12 students in the cafeteria. How many students are eating lunches other than salads or sandwiches
Answer:
I think 3/6 or 3/12
Step-by-step explanation:
because either way we are adding 1/6+2/6=3/6
Answer:
4 are eating sandwhiches and 2 are eating salads
Step-by-step explanation:
1/6 of 12 is 2 2/6 of 12 is 4
Graph one cycle of the curve represented by the equation y = –2 sin(1/2x) +1.
Answer:
those should be the answers which you are looking for
Step-by-step explanation:
