Answer:
The answer is B
Explaining why it is:
Step-by-step explanation:
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
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.
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hey guys in the middle of my final! help? 30 points going to mark the brainiest too!
Answer: 148
Step-by-step explanation: All the angles are the same and if you take 180-32 you get 148 and that is the answer.
-Helper
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
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.
(a)
Using a calculator, or otherwise, determine the value of:
(i) 5.25 - 0.015
Answer:
5.235
Step-by-step explanation:
Just use a calculator
Else
5.250
-0.015
______
5.235
Add 0 to make it equal. Carry 1 from 5 of 5.2'5'0 to 0 and make it 10. 10g5 is 5. Then 4 remains .4-1 is 3. Others are normally subtracted.
Karen finished watching a movie at 1:10 pm. The movie lasted 1 hour and 38 minutes. What is the time that karen started watching the movie
Answer:
11:32:00 AM
Step-by-step explanation:
Determine all prime numbers a, b and c for which the expression a ^ 2 + b ^ 2 + c ^ 2 - 1 is a perfect square .
I need the answer step by step
Answer:
The family of all prime numbers such that [tex]a^{2} + b^{2} + c^{2} -1[/tex] is a perfect square is represented by the following solution:
[tex]a[/tex] is an arbitrary prime number. (1)
[tex]b = \sqrt{1 + 2\cdot a \cdot c}[/tex] (2)
[tex]c[/tex] is another arbitrary prime number. (3)
Step-by-step explanation:
From Algebra we know that a second order polynomial is a perfect square if and only if [tex](x+y)^{2} = x^{2} + 2\cdot x\cdot y + y^{2}[/tex]. From statement, we must fulfill the following identity:
[tex]a^{2} + b^{2} + c^{2} - 1 = x^{2} + 2\cdot x\cdot y + y^{2}[/tex]
By Associative and Commutative properties, we can reorganize the expression as follows:
[tex]a^{2} + (b^{2}-1) + c^{2} = x^{2} + 2\cdot x \cdot y + y^{2}[/tex] (1)
Then, we have the following system of equations:
[tex]x = a[/tex] (2)
[tex](b^{2}-1) = 2\cdot x\cdot y[/tex] (3)
[tex]y = c[/tex] (4)
By (2) and (4) in (3), we have the following expression:
[tex](b^{2} - 1) = 2\cdot a \cdot c[/tex]
[tex]b^{2} = 1 + 2\cdot a \cdot c[/tex]
[tex]b = \sqrt{1 + 2\cdot a\cdot c}[/tex]
From Number Theory, we remember that a number is prime if and only if is divisible both by 1 and by itself. Then, [tex]a, b, c > 1[/tex]. If [tex]a[/tex], [tex]b[/tex] and [tex]c[/tex] are prime numbers, then [tex]2\cdot a\cdot c[/tex] must be an even composite number, which means that [tex]a[/tex] and [tex]c[/tex] can be either both odd numbers or a even number and a odd number. In the family of prime numbers, the only even number is 2.
In addition, [tex]b[/tex] must be a natural number, which means that:
[tex]1 + 2\cdot a\cdot c \ge 4[/tex]
[tex]2\cdot a \cdot c \ge 3[/tex]
[tex]a\cdot c \ge \frac{3}{2}[/tex]
But the lowest possible product made by two prime numbers is [tex]2^{2} = 4[/tex]. Hence, [tex]a\cdot c \ge 4[/tex].
The family of all prime numbers such that [tex]a^{2} + b^{2} + c^{2} -1[/tex] is a perfect square is represented by the following solution:
[tex]a[/tex] is an arbitrary prime number. (1)
[tex]b = \sqrt{1 + 2\cdot a \cdot c}[/tex] (2)
[tex]c[/tex] is another arbitrary prime number. (3)
Example: [tex]a = 2[/tex], [tex]c = 2[/tex]
[tex]b = \sqrt{1 + 2\cdot (2)\cdot (2)}[/tex]
[tex]b = 3[/tex]
How much is 2 yd and 5 yd
Answer:
7 yards
Step-by-step explanation:
Answer:
7yd
ep-by-step explanat
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:
The equation of the piecewise function f(x) is below. What is the value of f(-2)
What is the volume of a regular triangular pyramid with an apothem of 2.3ft, a side length of 8ft and a height of 25 feet
230FT
Regular tetrahedron
Solve for volume
V≈1.15×107
Use the formula for the volume of a triangular pyramid: V=13Ah , where A = area of the triangular base, and H = height of the pyramid.
Which table represents a nonlinear function?
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)
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
(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]
Please help me solve this question
angle D = 92°
Step-by-step explanation:
Since the two figures are congruent.
angle D = angle K
20x + 12 = 25x - 8
5x = 20
x = 4
Substituting this value into angle D, we see that
angle D = 20x + 12
= 20(4) + 12
= 92°
lent receives per day?
A patient is receiving a normal saline solution, infusing continuously at 80 ml/hr IV, and a tube feeding formula,
Glucerna, infusing continuously at 50 ml/hr. What is the total amount of fluids infused per day?
Answer:
The total amount of fluids infused per day is 3,120 ml.
Step-by-step explanation:
Given that a patient is receiving a normal saline solution, infusing continuously at 80 ml / hr, and a tube feeding formula, Glucerna, infusing continuously at 50 ml / hr, to determine what is the total amount of fluids infused per day the following calculation must be done:
(80 x 24) + (50 x 24) = X
1,920 + 1,200 = X
3.120 = X
Therefore, the total amount of fluids infused per day is 3,120 ml.
Which statement is most likely to be true for this distribution?
1
A. The mean is less than the median.
B. The mean is greater than the median.
O C. The mean is the same as the median.
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.
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
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
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°
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 angle, round to the nearest tenth: Sin X = .7547
Please help me
Find the circumference and the area of this shape
I'll give brainliest
What’s the answer ?
Answer:
c
Step-by-step explanation:
I cannot see the whole picture. some numbers are cut off.
but just by making the calculating for the top-left corner we can see the only possible right answer.
so, top-left corner of A = 4 and of B = 7.
therefore, the top-left corner of the result matrix is then according to -2×A + 7×B
-2×4 + 7×7 = -8 + 49 = 41
the only solution option with 41 in the top-left corner is c.
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
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)
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.
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