Answer:
x=5
Step-by-step explanation:
-x+6=1
-x=1-6
-x=-5
x=5
Shelby is in a hot air balloon where the balloon is shaped like a sphere with a diameter of 50 ft find the amount of space occupied by the balloon use 3.14 for pie and round your answer to the nearest tenth
Answer:
50ft x 3.14 = 157ft
Step-by-step explanation:
It's asking for the circumference.
circumference formula: [tex]C = 2\pi r[/tex]
To give you a better idea of the concept:
To make it simple, in a circle, there is the radius, diameter, and then the circumference.
Radius: The distance half way across the circle (see attachment below).
Diameter: The distance across the circle (see attachment below).
Circumference: The distance around the circle (see attachment below).
As you see, the radius is only half way across, so 2 times the radius would give us the full distance across (diameter).
(But this doesn't matter for this question because it already gave you the diameter (50ft), this was only so I could maybe help you understand the concept a bit more).
Your question:
Alright, it's asking for the circumference; all you have to do is the diameter (50 ft) times pi (3.14).
[tex]50ft *3.14=157ft[/tex]
Hope this helped! :D
The equation of the piecewise function f(x) is below. What is the value of f(-2)
Let A and B be two disjoint events such that P(A) = .30 and P(B) = .60. What is P(A and B)? 0.18 0.72 0.90 0 none of the above
Answer:
0
Step-by-step explanation:
If two events are disjoing (aka mutually exclusive) that means that there is 0 overlap or the intersection equals 0
So the probability of A and B occuring is 0 (because P(A∩B)= 0)
Using elimination, what is the solution to the following system?
x+6y=32
-x-3y=-17
Answer:
x=2, y=5. (2, 5).
Step-by-step explanation:
x+6y=32
-x-3y=-17
---------------
3y=15
y=15/3
y=5
x+6(5)=32
x+30=32
x=32-30
x=2
The diagram shows a cylindrical tank.
The radius is 30 cm and the height is 80 cm.
(a) Calculate the area of the base of the tank.
(b) Calculate the volume of the tank in litres.
Step-by-step explanation:
a) A=π302=900π CM2 =2,827 CM 2
b) V=Ah=900=72000 π cm 3 = 226,195 cm3
You roll 2 dice and flip a coin. What's the probability of getting two 4's and a tails?
Answer:
2/4
Step-by-step explanation:
Find the area of the shaded region.
150 degrees
7 cm
A =[?] cm2
Enter a decimal rounded to the nearest tenth.
Answer:
102.2
Step-by-step explanation:
Find the measure of the arc or central angle indicated. Assume that lines which appear to be
diameters are actual diameters.
Answer:
25)
arcQR=60°
26)
arcUWY=240°
27)
arcSU=112°
28)
arcSR=310°
hope it helps
stay safe healthy and happy.Find the measure of the angle, round to the nearest tenth: Sin X = .7547
Which table represents a nonlinear function?
We have considered a regression equation to predict life expectancy from percent of government expenditure on health care, using data for a sample of 50 countries in SampCountries. Using technology and this dataset, find a 95% prediction interval for each of the following situations.
(a) A country which puts only 3% of its expenditure into health care. Round your answers to one decimal place.
(b) A country which puts 10% of its expenditure into health care. Round your answers to two decimal places.
(c) A country which puts 50% of its expenditure into health care. Round your answers to two decimal places.
Country Health LifeExpectancy
Iceland 15.76 83.1
Kazakhstan 10.90 70.5
Lesotho 14.48 49.3
Uzbekistan 9.68 68.2
Peru 14.75 74.8
Iraq 5.99 69.5
Nicaragua 20.89 74.8
Zambia 12.57 58.1
Guinea-Bissau 7.79 54.3
Romania 12.17 74.5
United States 20.71 78.8
Sierra Leone 11.41 45.6
Malta 13.29 80.7
Luxembourg 13.64 81.8
Micronesia, Fed. Sts17.70 69.0
South Africa 14.02 56.7
Panama 12.79 77.6
Turkey 10.74 75.2
Nigeria 17.97 52.5
Hungary 10.23 75.3
Albania 9.85 77.5
Brunei Darussalam 7.42 78.6
Portugal 12.90 80.4
Comoros 7.55 60.9
Pakistan 4.73 66.6
Ethiopia 16.43 63.6
Belize 11.90 73.9
Sweden 14.98 81.7
Bulgaria 11.67 74.5
Botswana 8.75 47.4
Greece 11.66 80.6
Belarus 13.45 72.5
United Kingdom 16.18 81.0
Tunisia 13.33 73.6
Thailand 17.01 74.4
Croatia 12.67 77.1
Colombia 16.05 74.0
Samoa 17.00 73.3
Cuba 13.40 79.2
Guyana 13.87 66.2
South Sudan 4.00 55.2
Cote d'Ivoire 8.51 50.8
Burkina Faso 13.52 56.3
Malaysia 5.88 75.0
Australia 17.75 82.2
Indonesia 6.63 70.8
Kenya 5.85 61.7
Ireland 14.07 81.0
Grenada 9.56 72.7
Korea, Rep. 11.50 81.5
Answer:
(a) A country which puts only 3% of its expenditure into health care. = (41.8,85.2)
(b) A country which puts 10% of its expenditure into health care= (47.92,89.29)
(c) A country which puts 50% of its expenditure into health care= (63.33,132.17)
Explanation:
Country Health Life expectancy
1 Iceland 15.76 83.1
2 Kazakhastan 40.90 70.5
3 Lesotho 14.48 49.3
4 Uzbekistan 9.68 68.2
5 Peru 14.75 74.8
6 Iraq 5.99 69.5
mb=1m (life expectancy - Health, data=d1)
new data1 = data. frame (Health = 3)
new data2 = data. frame (Health = 10)
new data3= data. frame (Health = 50)
Predict (mb,newdata1, interval= "prediction)
fit owr upr
1 63.506 41.7298 85.2192
>Predict (mb,newdata2, interval = "prediction)\
fit owr upr
1 68.6062 47.9192 89.29321
>Predict (mb,newdata3, interval = "prediction)
fit owr upr
1 97.750 63.3292 132.1713
(a) A country which puts only 3% of its expenditure into health care. = (41.8,85.2)
(b) A country which puts 10% of its expenditure into health care= (47.92,89.29)
(c) A country which puts 50% of its expenditure into health care= (63.33,132.17)
Offering brainliest if answered with explanation
Answer:
Step-by-step explanation:
we know that the 3 sides add up to the perimeter of 18cm. We can use this to find the length of the 3rd side, CA.
AB + BC + CA = 18
7 + 3 + CA = 18
10 + CA = 18
CA = 8
The pythagorean theorem states that in a right triangle a2 + b2 = c2, where c is the length of the hypotenuse (the longest side opposite to the right angle) and a and b are the lengths of the other two sides.
In this problem we can replace a with 7, the length of AB, b with 3, the length of BC, and c with 8, the length of CA.
a2 + b2 = c2
72 + 32 = 82
49 + 9 = 64
58 = 64
Since the equation is not true, we can deduce that ABC is NOT a right triangle start, we know that the 3 sides add up to the perimeter of 18cm. We can use this to find the length of the 3rd side, CA.
AB + BC + CA = 18
7 + 3 + CA = 18
10 + CA = 18
CA = 8
The pythagorean theorem states that in a right triangle a2 + b2 = c2, where c is the length of the hypotenuse (the longest side opposite to the right angle) and a and b are the lengths of the other two sides.
In this problem we can replace a with 7, the length of AB, b with 3, the length of BC, and c with 8, the length of CA.
a2 + b2 = c2
72 + 32 = 82
49 + 9 = 64
58 = 64
Since the equation is not true, we can deduce that ABC is NOT a right triangle start, we know that the 3 sides add up to the perimeter of 18cm. We can use this to find the length of the 3rd side, CA.
AB + BC + CA = 18
7 + 3 + CA = 18
10 + CA = 18
CA = 8
The pythagorean theorem states that in a right triangle a2 + b2 = c2, where c is the length of the hypotenuse (the longest side opposite to the right angle) and a and b are the lengths of the other two sides.
In this problem we can replace a with 7, the length of AB, b with 3, the length of BC, and c with 8, the length of CA.
a2 + b2 = c2
72 + 32 = 82
49 + 9 = 64
58 = 64
Since the equation is not true, we can deduce that ABC is NOT a right triangle
Answer:
ABC is not a right triangle.
Step-by-step explanation:
The perimeter of a triangle is the sum of all its sides(easier to see if you draw it):
P = AB + BC + AC
We can substitute the values we have:
18 = 7 + 3 + AC
18 = 10 + AC
AC = 8
In a right triangle, the hypotenuse is always the largest side and is equal to the square root of the squares of the legs by the pythagorean theorem(a^2 + b^2 = c^2). Our largest side is 8, so we would set that as equal to the hypotenuse:
8^2 = 7^2 + 3^2
64 = 49 + 9
64 = 58
64 is not equal to 58, so triangle ABC is not a right triangle.
Helpppppp pleaseeeeee !!!!!!!!! !!!!
Given:
The function is:
[tex]f(x)=6x-3[/tex]
To find:
The inverse of the given function, then draw the graphs of function and its inverse.
Solution:
We have,
[tex]f(x)=6x-3[/tex]
Step 1: Substitute [tex]f(x)=y[/tex].
[tex]y=6x-3[/tex]
Step 2: Interchange x and y.
[tex]x=6y-3[/tex]
Step 3: Isolate variable y.
[tex]x+3=6y[/tex]
[tex]\dfrac{x+3}{6}=y[/tex]
Step 4: Substitute [tex]y=g(x)[/tex].
[tex]\dfrac{x+3}{6}=g(x)[/tex]
Therefore, the inverse of the given function is [tex]g(x)=\dfrac{x+3}{6}[/tex] and the graphs of these functions are shown below.
(x^5-y^5) divided (x-y)
See in the picture I have done till here but can anyone tell me next step
Answer:
[tex]\frac{x^6-yx-y^5}{x}[/tex]
Step-by-step explanation:
x^5-y^5 divided x-y
[tex]\frac{(x^5-y)x}{x} -\frac{y^5}{x}[/tex]
[tex]\frac{(x^5-y)x-y^5}{x}[/tex]
=> [tex]\frac{x^6-yx-y^5}{x}[/tex]
find the area of the figure
area: units2
need help with this question I would appreciate it.
Answer:
[tex]\huge\boxed{x \geq \frac{10b}{b-a} }[/tex]
Step-by-step explanation:
[tex]\displaystyle b(x-3) \geq ax+7b\\\\bx -3b\geq ax+7b\\\\Subtract \ ax \ to \ both \ sides\\\\bx-ax-3b\geq 7b\\\\Add \ 3b \ to \ both \ sides\\\\bx-ax \geq 7b+3b\\\\x(b-a) \geq 10b\\\\Divide \ (b-a) \ to \ both \ sides\\\\x \geq \frac{10b}{b-a} \\\\\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807how much must be added to 750 metres to make 2 km
Answer:
1250 meters because 2 km is 2000 meters
2000 - 750
= 1250
Answer:
you need to add 1250 to 750 in order to make 2 km
Step-by-step explanation:
We know that:
1 KM = 1000 meters
and out of those 1000, we already have 750, therefore:
1000-750 = 250
Which completes 1 km now, since there are 2 km, add 1000 to 250:
1000+250 = 1250
So you need to add 1250 meters to make 2 km
Hope this helps!
30 POINTS
The results of a poll show that the percent of people who want a new restaurant is in the interval (62%, 88%). There are 109,482 people in the city. What is the interval for the number of people who are likely to want this restaurant in their city? Round to the nearest person. Enter your answer in the boxes.
Answer: (26996, 42744)
Step-by-step explanation: N/A
Plz help me well mark brainliest if correct!
Answer:
The answer is B.
Step-by-step explanation:
The formula is Area = L x H
And remember perimiter is adding the legnth of all sides.
For A:
12 × 3 = 36
12 + 12 + 3 + 3 = 30
For B:
4 × 8 = 32
4 + 4 + 8 + 8 = 24
For C:
6 × 6 = 36
6 + 6 + 6 + 6 = 24
Hence, the answer is B, since B is the only one which meets the criteria.
Help with this please!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
m∡A = 41.4°
m∡B = 48.6°
m∡C = 90°
a = 3[tex]\sqrt{7}[/tex]
b = 9
c = 12
Step-by-step explanation:
to find the length of side 'a' I used the Pythagorean Theorem to get:
a² + 9² = 12²
a² + 81 = 144
a² = 63
a = [tex]\sqrt{63}[/tex] which equals [tex]\sqrt{9}[/tex][tex]\sqrt{7}[/tex] which is 3[tex]\sqrt{7}[/tex]
to find m∡B I found the arcsin(B) = 9/12 to get 48.6
to find m∡A I subtracted the sum of 90 + 48.6 from 180°
165 is what percent of 150 ?
Answer:
110%
Step-by-step explanation:
hope this helps......
Answer:
110%
Step-by-step explanation:
is / of = % / 100
165 / 150 = x / 100
cross-multiply:
150x = 16,500
x = 16,500 / 150
x = 110
Pleaseeeee answerrrrrr
Answer:
x=90-35
=55 is the answer
54 kilometers equal – metres.
[tex]\huge\mathfrak\blue{AnSwEr} [/tex]
[tex] \sf{54 \: km \: = 54000 \: meters}[/tex]
Please help me
Find the circumference and the area of this shape
I'll give brainliest
What is the surface of the triangluar prism shown below
Answer: 36 ft^2
Step-by-step explanation: 4x3/2=6. 6x2=12. 3x2=6. 4x2=8. 5x2=10. 12+8+6+10=36
Find the probability that the next student will select hamburger for lunch. You
must write your answer as a fraction.
Answer=3/10
Step wise =
Total number of student=40
student who eat Hamburger=12
now,
Probability of eating hamburger student = 12/40
=3/10
The output associated with an input of zero is known as the
Answer:
IO
Step-by-step explanation:
9514 1404 393
Answer:
y-intercept
Step-by-step explanation:
If the function is graphed as ...
y = f(x)
then y = f(0) is the y-intercept.
_____
Additional comment
Depending on the way the graph is created and labeled, any points or curve on the graph may cross the vertical axis at a point other than one that corresponds to an input of 0. In any event, it may not be called "y". It may be "sales" or "board feet" or "monkeys per acre". Then the name of the point may not be "y-intercept", but may be something else.
Which of the following statements is true?
O 0.6 < 0.61 < 0.7
O 0.61 < 0.6 < 0.7
O 0.7 < 0.61 < 0.6
O 0.7 < 0.6 < 0.61
Answer: 0.06<0.61<0.7
Step-by-step explanation:
The numbers is 0.6< 0.61 <0.7.
It is required to find among the statements is true.
What is integer?An integer is a whole number (not a fractional number) that can be positive, negative, or zero.
Given that:
0.7 is largest number among the given integer.
0.61 is 2nd largest number among the given integer.
0.6 is lowest number among the given integer.
∴0.6< 0.61 <0.7.
So, the numbers is 0.6< 0.61 <0.7.
Learn more about integer here:
https://brainly.com/question/23713984
#SPJ2
Gretchen is refinishing her gazebo that is in the shape of a regular octagon. The length of one side is 3 feet and the apothem is 3.5 feet. What is the area that Gretchen will be refinishing? Need help fast
The area that Gretchen will be refinishing is 42 square feet.
What is a polygon?A polygon is a closed more than two-sided and can be made up of a finite number of straight line segments and is a type of planar figure in geometry.
Each line of the polygonal circuit's segments is referred to as its edges or sides.
An octagon has 8 sides.
We know, Apothm is the distance from the center to its side.
We also know that an octagon can be divided into 8 similar triangles.
Therefore, The area of the octagon will be,
= 8×(1/2)×3×3.5 square feet.
= 4×10.5 square feet.
= 42 square feet.
learn more about polygons here :
https://brainly.com/question/24464711
#SPJ1
4) To estimate the height of your home, you measure its shadow. The shadow of your home is 5.5 feet.
The shadow of the 10 foot tree has a shadow of 2.5 feet. Find the height of your home. Show all work.
Answer:
1.375 ft
Step-by-step explanation:
10/2.5 = 4
5.5 / 4 = 1 1.5/4 = 1 3/8 = 1.375 ft
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K