Answer:
Step-by-step explanation:
We have been given that we need to paint the globe held aloft by a statue of Atlas. Its diameter is 10.5 in.
First of all we will find the area of globe using area of sphere formula.
, where r represents the radius of sphere.
Since diameter is 2 times the radius, so the radius of our given globe will be:
Since 27 square inches does not need to be painted, so the area we must cover with paint will be:
Upon rounding our answer to nearest hundredth we will get,
Therefore, we must cover 319.36 square inches with paint.
Fill in each box with the probability of the event that it represents. The following questions can be answered using your area model.
pleeeeaaseee help!!!!
Answer:
[tex]a. \ \dfrac{1}{36}[/tex]
[tex]b. \ \dfrac{4}{9}[/tex]
[tex]c. \ \dfrac{5}{6}[/tex]
Step-by-step explanation:
The given probabilities are; P(Orange) = 1/3, P(Blue) = 1/6, P(Purple) = 1/2
The probability of rolling any of the six numbers of the six-sided die = 1/6
a. The probability of simultaneously 'rolling a 3' and 'spinning blue', P(3 and Blue) is given as follows;
P(rolling a 3) = 1/6, P(Blue) = 1/6
∴ P(3 and Blue) = (1/6) × (1/6) = 1/36
P(3 and Blue) = 1/36
[tex]P(3 \ and \ Blue) = \dfrac{1}{36}[/tex]
b. The probability of either 'rolling a 1' or 'spinning Orange', P(1 or Orange), is given as follows;
P(rolling a 1) = 1/6, P(Orange) = 1/3
P(1 or Orange) = P(rolling a 1) + P(Orange) - P(1 and Orange)
Where;
P(1 and Orange) = (1/6) × (1/3) = 1/18
∴ P(1 or Orange) = 1/6 + 1/3 - 1/18 = 4/9
P(1 or Orange) = 4/9
[tex]P(1 \ or \ Orange) = \dfrac{4}{9}[/tex]
c. The probability of not spinning a blue, P(not Blue) is given as follows;
P(not Blue) = P(rolling all outcomes of the die) and (The sum of the spin probabilities - P(Blue)
∴ P(not Blue) = 1 × ((1/3 + 1/6 + 1/2) - 1/6) = 1 × (1 - 1/6) = 5/6
P(not Blue) = 5/6
[tex]P(not \ Blue) = \dfrac{5}{6}[/tex]
Which function has the greater maximum value: f(x) = -2x2 + 4x+3, or g(x),
the function in the graph?
ту
g(x)
A. f(x)
B. g(x)
C. The functions have the same maximum value.
Answer:
B
Step-by-step explanation:
f(x) maxmum value is
[tex] \frac{ - 4}{ - 4} = 1[/tex]
[tex] - 2( {1}^{2} ) + 4(1) + 3 =
5[/tex]
G(x) minimum value is 6.
B is the answer.
what is the total time it will take the snowball to melt completely
Point-slope form
y -24 = -4/5(x -0)
Find x when y is 0 (X-intercept)
0 -24 = -4/5(x -0)
-24 = -4/5x
x = -120/-4
x = 30
Answer: A. 30 minutes
I need help please Brainly fam
Answer:
The third one
Step-by-step explanation:
Just took the quiz
I’ve been stuck on this for 3 days today is the last day please help me guys
y = x^2 - 2x - 3
Factored Form: y = (x - 3)(x + 1)
X-Intercepts: (3, 0) and (-1, 0)
Axis of Symmetry: x = 1
Vertex: (1, -4)
Domain: All Real Numbers (or negative infinity to infinity)
Range: y > -4
Hope this helps!
4) If x/y = 7/3 then find the value of
[tex]3x ^{2} + 2y^{2} \3x^{2} - 2y {}^{2} [/tex]
Answer:
1011
Step-by-step explanation:
3x^2 + 2y^2 x^2 - 2y^2
3(7)^2 + 2(3)^2 3^2 - 2(7)^2
3(7^2 + 2 x 3 x 7^2 - 2 x 3)
3(7^2 +6 x 7^2 - 6)
3(7 x 7^2 - 6)
3(7^3 - 6)
3(343 - 6)
3(337) = 1011
Find the missing parts of the triangle. Round to the nearest tenth when necessary or to the nearest minute as appropriate.
a = 7.3 in.
b = 13.2 in.
c = 15.8 in.
A = 27.3°, B = 56.1°, C = 96.6°
No triangle satisfies the given conditions.
A = 29.3°, B = 54.1°, C = 96.6°
A = 25.3°, B = 56.1°, C = 98.6°
Answer:
A) A = 27.3°, B = 56.1°, C = 96.6°Step-by-step explanation:
Use the Law of Cosines:
A = arccos [(b² + c² - a²)/(2bc)] = arccos [(13.2² + 15.8² - 7.3²)/(2*13.2*15.8)] = 27.3° B = arccos [(a² + c² - b²)/(2ac)] = arccos [(7.3² + 15.8² - 13.2²)/(2*7.3*15.8)] = 56.1°C = 180° - (A + B) = 180° - (27.3° + 56.1°) = 96.6°Correct choice is A.
Rachel covered a single lap of 1,210 m in 55 s. Calculate her speed in m/s
Answer:
22 m/s
Step-by-step explanation:
Take the distance and divide by the time
1210 m/55s
22 m/s
Answer:
22m/sStep-by-step explanation:
[tex]speed = \frac{distantce}{time} \\ = \frac{1210m}{55s} \\ = 22m {s}^{ - 1} [/tex]
if the probability of winning the netball game is 0.7, what is the probability of not winning the game?
Can sone One help me please, Thanks a lot
Answer:m
Step-by-step explanation:m
What numbers are divided by -10 that equal 5?
Answer:
-50
Step-by-step explanation:
x / (-10) = 5
Multiply both sides by -10:
x = -50
Answer:
50
Step-by-step explanation:
50/10=5
[tex]50 \div 10 = 5 \\ [/tex]
When finding ordered pairs for a table of values for a function, the selection of x-coordinates can be
random
True
O False
SEE QUESTION IN IMAGE
Answer:
20Find the mean:
(2*1 + 1*2 + 2*3 + 1*4 + 2*5)/(2 + 1 + 2 + 1 + 2) = 3Find the variance:
[2*(1-3)² + (2 - 3)² + 2*(3 - 3)² + (4 - 3)² + 2*(5 - 3)²]/8 = 18/8 = 9/421Find the range:
10 - 2 = 8Find the mean:
(2 + 3 + 4 + 5 + 6 + 6 + 7 + 8 + 9 + 10)/10 = 6Find the variance:
[(2 - 6)² + (3 - 6)² + (4 - 6)² + (5 - 6)² + 2(6 - 6)² + (7 - 6)² + (8 - 6)² + (9 -6)² + (10 - 6)²]/10 = 6The difference:
8- 6 = 222The mean:
(0 + x + 2 + 3x + 6 + 4x + 8)/4 = 8Find the value of x and the data points:
8x + 16 = 328x = 16x = 2The points are:
0, 2 + 2 = 4, 3*2 + 6 = 12, 4*2 + 8 = 16The mean deviation:
(0 - 8 + 4 - 8 + 12 - 8 + 16 - 8)/4 = 0Note. Mean absolute deviation is different, this is the average of absolute values of mean deviations:
(8 + 4 + 4 + 8)/4 = 6please help geometry surface area
Answer: 159
Step-by-step explanation:
We have to find the surface area of two triangles and 3 rectangles
To find the surface areas of the triangles, we use the formula: base x height / 2
6 x 5.5 / 2 = 16.5
Multiply that by 2 since there are 2 of them
16.5 x 2 = 33
To find the surface area of the rectangles, we multiply the length and width
7 x 6 = 42
Multiply that by 3 since there are 3 of them
42 x 3 = 126
Add up all the surface areas
126 + 33 = 159
What is the area of the parallelogram represented by the vertices A(-6, -1), B(-2, -1), C(-1,-4) and D(-5, -4)?
[tex]\huge\underline\blue{✏ANSWER}[/tex]
(no answer found.)
(maybe can found on other apps?)
#BrainliestBunch
Answer:
12
Step-by-step explanation:
1) Vector AB (-2-(-6); -1-(-1))= (4; 0). Vector module is module AB=sqrt (4*4+0*0)= 4
2) The module of Vector BC is sqrt((-1-(-2))*(-1 - (-2))+ (-4-(-1))* (-4-(-1))= sqrt (9+1)= sqrt 10.
3) The module of AC is sqrt ((-1-(-6))*(-1-(-6))+ (-4-(-1))*(-4-(-1))= sqrt (25+9)= sqrt 34.
4) Having the triangle with the sides AB, BC, AC use the theorem of cos:
sqrt34*sqrt34= sqrt 10*sqrt 10 + 4*4- 2*sqrt10*4*cosB
34-10-16= -8 sqrt 10*cosB
c0sB= (-1)/ sqrt10
5) Find out sinB that is equal to Sqrt (1- ((-1)/sqrt 10)* ((-1)/sqrt10))= sqrt (9/10)= 3/sqrt10.
6)S= 4*sqrt10*3/sqrt10= 4*3=12. The area is equal to 12.
If a bicyclist rides for 100 minutes at an average speed of 14 miles per hour, how far was the ride, to 1 decimal place?
Answer:
23.3 miles
Step-by-step explanation:
- convert 1hour = 60minutes
14 miles per 1 hour , is the same as
14 miles per 60 minutes
-write an equivalent fraction to keep the proportion
14 miles/60 minutes = ? miles / 100 minutes
-cross multiply , and divide by 60
? = (14*100) / 60 = 23. 3333333...
-round to 1 decimal place
23.3 miles
Please hurry I will mark you brainliest
It's a hot summer
day and the icecream truck is on it's way. The driver gives you two options:
1) You can have a cone that is doubled in radius but the same height as a regular cone.
OR
2) You can have a cone that is doubled in height but the same radius as a regular cone.
Which would you choose and why?
You can explain it or attach a picture of your work.
Answer:
Volume of a cone - πr^2(h/3)
Step-by-step explanation:
If radius doubled - π2r^2(h/3)
If height doubled - πr^2(2h/2)
Let's assume r and h to be 1.
Radius doubled = 2π(1/3) = 2.09439510239 (volume)
Height doubled = π(2/3) = 2.09439510239 (volume)
If radius and height equal for 1, does it mean it is equal for other values too?
Let's use 2 instead of 1 and find out:
8π(2/3) - Option 1
8π(2/3) - Option 2
Both are the same...
Answer:
2x on the radius...
Vol = [tex]\frac{1}{3} \pi r^{2} h[/tex]
[tex]\frac{1}{3} \pi[/tex] is constant (in this story)
[tex](2r)^{2}[/tex] vs. 2h ... the [tex](2r)^{2}[/tex] will most likely be bigger...
I say most likely because if the cone radius was super small and
the height was super long (like a straw, or a piece of spaghetti)
then the 2x on the height actually can be better
Step-by-step explanation:
someone please help!!
Answer:
f(-8) = 64
Step-by-step explanation:
Since x =-8, we need to use x^2 since -8 <0
(-8)^2 = 64
When x = -8 f(-8) = 64
Answer:
B
Step-by-step explanation:
There are 2 functions, one if x > 0 and one if x < 0
The x we are given is -8, and -8 is less than 0
Plug -8 into the function for if x < 0, which is x^2
(-8)^2=64
find the missing side lengths
You and six friends play on a basketball team. A sponsor paid $100 for the league fee, x dollars for each player’s T-shirt, and $68.25 for trophies. Write an expression for the total amount paid by the sponsor
Answer:
Total amount paid by the sponsor = 175 + 6d
Step-by-step explanation:
You and 5 friends = 6 people
Cost of renting a bus = $75
Team entry fee = $100
Cost of each student t shirts = $d
Cost of 6 student t shirts = $d × 6= $6d
Write an expression for the total amount the sponsor paid.
Total amount paid by the sponsor = Cost of renting a bus + Team entry fee + Cost of 6 student t shirts
= $75 + $100 + $6d
= $175 + $6d
Total amount paid by the sponsor = 175 + 6d
Where,
d = cost of each student t shirts
There are 4 buses for a field trip for 4th graders and each bus accommodates the same number of students. If there are 76 students going to a trip, how many are on each bus?
Answer:
19
Step-by-step explanation:
divide 76 by 4
Write the equation in standard form then factor the left side of the equation. 2x^2=28-x
Answer:
Step-by-step explanation:
Standard for is 5x=28. Factoring gives you x=28/5
Combine these radicals.
-3/81 + 16
-23
0 0 0
-11
-3797
-3.713
Need answers please
Step-by-step explanation:
-23 is the answer
√18=9
√16=4
-3×9+4= -23
Answer:
-23 is right on edg
Step-by-step explanation:
Helppp and explain pls and ty
I am struggling with this question anyone help
9514 1404 393
Answer:
b, c
Step-by-step explanation:
The factor (x+7) is common to both numerator and denominator. The function can be simplified by cancelling that factor.
y = (x -3)/(x -9) . . . . . . x ≠ -7
The restriction x ≠ -7 is put on the simplified function because the original function is undefined there. The denominator factor x+7 makes the denominator 0 at that point.
The point at x=-7 is called "hole" in the graph. A properly drawn graph will show the function is undefined there (has a hole).
__
The denominator of the simplified function is zero when x=9. This means there is a vertical asymptote at x=9.
__
The ratio of the highest-degree terms of the numerator and denominator will tell you the end behavior of the function — its value when x is large. Here, that ratio is y = x/x = 1. This represents a horizontal asymptote at y=1. The function approaches this line as x gets large, but never reaches it.
The appropriate descriptors are ...
Asymptote: x=9, y=1Hole: x=-7Find the value of x.
Answer:
x = 110°
Step-by-step explanation:
The Outside Angle Theorem states that the measure of the angle formed by two secants or a secant and tangent from a point outside of a circle is half the difference between the two arcs.
This means that ½ (210 – x) = 50.
½ ( 210 – x ) × 2 = 50 × 2
210 – x = 100.
210 – x + x = 100 + x.
210 = 100 + x.
100 + x = 210.
100 + x – 100 = 210 – 100.
x = 110.
This value must be true because:
½ ( 210 – 110 ) = 50.
½ ( 100 ) = 50.
50 = 50.
A circle is represented by the equation below:
(x − 9)2 + (y + 8)2 = 16
Which statement is true?
a) The circle is centered at (−9, 8) and has a radius of 8.
b) The circle is centered at (9, −8) and has a diameter of 8.
c) The circle is centered at (9, −8) and has a radius of 8.
d) The circle is centered at (−9, 8) and has a diameter of 8.
Answer:
The center is (9,-8) and the diameter is 8
Step-by-step explanation:
(x − 9)^2 + (y + 8)^2 = 16
A circle is in the form
(x − h)^2 + (y -k)^2 = r^2 where (h,k) is the center and r is the radius
(x − 9)^2 + (y - -8)^2 = 4^2
The center is (9,-8) and the radius is 4
The diameter is 2 times the radius so the diameter is 8
The center is (9,-8) and the diameter is 8
Determine what type of model best fits the given situation: the temperature of a cup of coffee decreases by 5 F every 20 minutes.
A. liner
B. exponential
C. quadratic
D. none of these
Answer: T = -t / 4 + T0 where t is the temperature in minutes elapsed, T is the final temperature, and T0 is the initial temperature
Explanation: This is a linear equation in T and t
(-1 / 4 represents -5 deg / 20 min = - 1 deg / 4min
Which quadratic formula do I need to use to solve 2x(x+1.5)=-1
Answer:
x = - 1, x = - 0.5
Step-by-step explanation:
Given
2x(x + 1.5) = - 1 ← distribute parenthesis on left side
2x² + 3x = - 1 ( add 1 to both sides )
2x² + 3x + 1 = 0 ← in standard form
(2x + 1)(x + 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 1 = 0 ⇒ x = - 1
2x + 1 = 0 ⇒ 2x = - 1 ⇒ x = - 0.5
Three identical squares are placed side by side to form a rectangle with a perimeter of 104 inches. What is the area, in square inches, of each square?
Answer: 169 square inches
Step-by-step explanation:
If the squares are placed side by side, then their perimeter will equal 8x, x being the length of one side
If we set that equal to the perimeter, we get 104=8x, and x=13
So 13 is the length of one side, and A=l x w so A=169 square cm
