Part A
Let's say we measure a board length and we measure 18.639 cm. Now let's say we round to the nearest tenth. That would lead to 18.6 cm. The question is "What is the largest value we can measure such that we round to the nearest tenth to get 18.7 cm?"
Well we could measure 18.7 cm exactly, but there are values we could measure that are larger to round to that value. We could measure 18.71 or 18.72, etc etc all the way up to 18.74; once we get to 18.75, it will round to 18.8
So this means that the largest we can measure is 18.74 and it is the upper bound we're after.
Answer: 18.74 cm=========================================================
Part B
We use the same idea as part A, but now we're extending out one more decimal place.
We could measure 58.37 cm exactly or we could measure 58.371 or we could do 58.372, etc until we arrive at 58.374
By the time we get to 58.375, it will round to 58.38 and that's not what we're after. So the highest we can go is 58.374 cm
Answer: 58.374 cmThe average number of slam dunks between the sophomore basketball league members is 20. The average number of slam dunks between the sophomore and junior basketball league members is 30. If there are 40 members in the sophomore league and 20 members in the junior league, how many slam dunks are made in the junior league?
Answer:
The sum of the slam dunks made in the junior league is 1,000 slam dunks
Step-by-step explanation:
The known parameters are;
The average number of slam dunks between the sophomore basketball league members, μ₁ = 20
The average number of slam dunks between the sophomore and junior basketball league members, μ₃ = 30
The number of members of the sophomore league, n₁ = 40
The number of members of the junior league, n₂ = 20
We get;
The sum of the scores of the sophomore league members, S₁ = μ₁ × n₁
∴ S = 20 × 40 = 800
The sum of the scores of the sophomore and junior league members combined, S₃ = (n₁ + n₂) × μ₃
∴ S₃ = (40 + 20) × 30 = 1,800
The sum of the slam dunks made by the junior league members, S₂ = S₃ - S₂
∴ S₂ = 1,800 - 800 = 1,000
∴ The sum of the slam dunks made in the junior league, S₃ = 1,000
A sphere has a surface area of 2,122.64 square meters. Which equation can you use to find the radius?
2,122.64 = 4pie r
2,122.64 = 4pier²
2,122.64 = 4(pier)2
2,122.64 = (4pier)2
Answer:
12.997
Step-by-step explanation:
this is the answer but i don't understand the rest of this question :
. Which equation can you use to find the radius?
2,122.64 = 4pie r
2,122.64 = 4pier²
2,122.64 = 4(pier)2
2,122.64 = (4pier)2
hope this helps
Can you please help!!
A rescue team 1000 ft. away from the base of a vertical cliff measures the angle of elevation to the top of the cliff to be 70. A climber is stranded on a ledge. The angle of elevation from the rescue team to the ledge is 55. How far is the stranded climber from the top of the cliff?
The third quartile value for the
data set shown in the box plot
below is:
65
70
75
80
85
90
Answer:
85
Step-by-step explanation:
The q1 is 7-, q2 is 77.5 and the third quartile range is 85
There are 22,521 more people living in the suburbs of a city than in the city. If 17,245 people live in the city, how many people live in the suburbs?
Answer:
Number of people in the suburbs= 39,766
Step-by-step explanation:
Giving the following information:
22,521 more people are living in the suburbs of a city than in the city.
Number of people in the city= 17,245
To calculate the number of people that lives in the suburbs, we need to use the following formula:
Number of people in the suburbs= Number of people in the city + 22,521
Number of people in the suburbs= 17,245 + 22,521
Number of people in the suburbs= 39,766
What number must you add to complete the square?
X2 + 12x = 40
x2
o
A. 36
B. 20
(
C. 6
O
O
D. 5
х
Answer:
36
Step-by-step explanation:
x^2 + 12 x = 40
To complete the square, take the coefficient of the x term
12
Divide by 2
12/2 = 6
Square it
6^2 = 36
Add 36 to each side
Hey can you help me fast!!
Answer: -6.3 lb after 3.5 hours
Step-by-step explanation:
-1 (4)/(5) = -9/5 = -1.8
0.5hr = -0.9
1hr = -1.8
2hr=-3.6
3hr=-5.4
3.5hr = -6.3
HELPP will give brainliest NO LINKSSS
Answer:
you didnt attach anything
Step-by-step explanation:
20% of ______ is 120
Answer:600
Step-by-step explanation:
Answer:
20
___ x X = 120
100
x100 x 100
20x = 120
divide by 20 on both sides.
x = 6
kirans aunt is 15 years older than kiran. how old will kirans aunt be when kiran is 13? how old will kiran be when his aunt is 60 years old?
Answer:
When Kiran is 13, his aunt will be 28.
When Kiran's aunt is 60, he will be 45.
Step-by-step explanation:
Hope this helps!
Answer:
a) 28 (kiran's aunt when kiran is 13)
b) 45 (kiran when kiran's aunt is 60)
Step-by-step explanation:
first
let kiran's age be k
kiran's aunt= 15 + k
when kiran is 13, kiran's aunt is 15+13
15+13= 28
when kiran's aunt is 60;
15+k = kiran's age
60 = 15+ k
k = 60-15
k = 45
A right triangle is a triangle with two angles. True or false?
Answer:
The answer is false.
Step-by-step explanation:
A triangle would also be opposite to a angle of property.
The top of a pie container is a circle. The radius of the pie is 8 inches and the radius of the container is 9 inches. What is the difference between the circumference of the container and the circumference of the pie in inches to the nearest tenth?
A : 3.1 inches
B 6.3 inches
C: 12.6 inches
D 25.1 inches
E 50.2 inches
Answer:
B. 6.3 inches.
Step-by-step explanation:
I'll use 2πr for both sides of this.
Pie:
2 * 3.14 * 8
16 * 3.14
50.24 inches for the pie
Container:
2 * 3.14 * 9
18 * 3.14
56.52 inches for the container
Difference:
56.52 - 50.24
6.28-inch difference, which rounds to 6.3 inches. B is our answer.
Solve for x.
2x2 + x = 10
Answer:
x = 2, x = -5/2
Step-by-step explanation:
2x² + x - 10 = 0
(2x + 5)(x - 2) = 0
2x + 5 = 0
2x = -5
x = -5/2
x - 2 = 0
x = 2
Can you solve the surface area and the volume for the triangular prism? i need it now please
Surface Area = 96in³
To find the surface area of a triangular prism we can use the following equation
[tex]SA = Perimeter * Height[/tex]
The perimeter is the perimeter of one base, and the height is the length of the lines connecting both bases. Now that we know that we can input that into the equation
[tex]SA = (5 + 4 + 3)8\\SA = (12)8\\SA = 96\\[/tex]
Please help
Which one is correct?
Answer:
The first one
Step-by-step explanation:
3/5 and 9/25
You are buying a car. Would you prefer a higher rate for a lower term or a lower rate
terma Explain your choice.
Greg and Jerry are depositing money into savings accounts. Greg deposits $500 in
for 2 years with 2% interest. Jerry despots $700 into a different account for 1 year w
who earns the greatest overall percent interest Show your work and explain.
Answer:
what percent of interest does Jerry have?
Learning task 3
What polygon is being described in the picture
Write two numbers that multiply to the value on top and add to the value on bottom.
42-top
13-bottom
Answer:
7 x 6 = 42
7 + 6 = 13
Step-by-step explanation:
Math
answer for brainilest and 30 points.
Answer:
Top Right
Step-by-step explanation:
231/pi(3)^2 =8.17
Round down to 8
Answer:
The height is 8 inches
Step-by-step explanation:
Well to find the volume of a cylinde like this, he formula is Base * height.
To find the base we need to find the area of the circle.
a=πr^2
The radius is 3 inches, 3^2=9
Since π is suppose to be 3.14 multiply
9*3.14= 28.26
We know that the cylinder can hold 231 cubic inches. So technically it can fill (x) 28.26 inches.
solve the equation
28.26x=231
Divide
231/28.26
The answer would be about 8 inches
Answers?????????????
Answer:
a)
-7-128Step-by-step explanation:
b) plot your graph using the table of value
c) draw a line at 2.5 on the x-axis
Answer:
the picture above ⬆️ is for the gaps in the table of values y= -7,-4,-1,2,5,8
b: using a scale of 1cm to represent 1 unit on both axis
Step-by-step explanation:
on the graph using the table of values. ...plot a graph using.a scale that will be ok for the value for example 1cm to represent 1 unit or 2cm to represent 1 unit
Marilyn Manson anybody else a fan ?
Answer:
wait who is that again?
Step-by-step explanation:
Answer:
Yes, I am a fan.
Step-by-step explanation:
;)
HELP PLS HELPP ITS ONLY TWO SMALL QUESTIONS SUPER QUICK
Answer:
y=-7 and x=-3
Step-by-step explanation:
Answer:
Y =-7 and X -3
Solution:
4x-2y=2
2(2x-y)=2⋅1
2x-y=1
and y+4=x
∴y-x=-4
Suppose,
2x-y=1→(1)
and -x+y=-4→(2)
Taking equation (1), we have
2x-y=1
⇒y=2x-1→(3)
Putting y=2x-1 in equation (2), we get
-x+y=-4
-x+(2x-1)=-4
⇒-x+2x-1=-4
⇒x-1=-4
⇒x=-4+1
⇒x=-3
⇒x=-3→(4)
Now, Putting x=-3 in equation (3), we get
y=2x-1
⇒y=2(-3)-1
⇒y=-6-1
⇒y=-7
∴y=-7andx=-3
The arithmetic sequence as is defined by the formula:
ai = -4910
ai = Ai-1 +8
Find the sum of the first 575 terms in the sequence.
Answer:
An arithmetic sequence is a sequence such that the difference between two consecutive terms is a constant, and we can call it d.
Then the general recursive relation is:
Aₙ = Aₙ₋₁ + d.
And the sum of the first N terms of this sequence is given by:
S(N) = (N/2)*(2*A₁ + (N - 1)*d)
Where A₁ is the first term of the sequence.
In this case, we have:
A₁ = -4910
Aₙ = Aₙ₋₁ + 8
Then we have: d = 8
(it actually says:
ai = -4910
ai = Ai-1 +8
But that has no actual meaning, so I assumed that the first one was actually the first term of the sequence)
The sum of the first 575 terms of this sequence is given by:
S(575) = (575/2)*(2*(-4910) + (575 - 1)*8) = -1,503,050
50 points
Please help ///// brainiliest
A 6 cm high cone has a volume of 128π cm3 What is its exact surface area?
A. 160π cm2
B. 96π cm2
C. 144π cm2
D. 104π cm2
Answer:
height [h]=6cm
Volume of cone =1/3 πr²h
128πcm³=1/3×π×r²×6
128×3/6=r²
r=√64
r=8cm
Now
slant height (l)=√{8²+6²}=10cm
again
.Total surface area :πrl+πr²=π×8(10+8)=144πcm²
its exact surface area is C. 144π cm²
[tex]\green{\boxed{-answer-}}[/tex]
Thats kinda hard but here maybe this one
C) 104π cm2
I dont really know well have a nice day man
Find the volume of the sphere.
Either enter an exact answer in terms of a or use 3.14 for
a and round your final answer to the nearest hundredth.
With the radius of 4.
Answer:
268.08
Step-by-step explanation:
V = [tex]\frac{4}{3}[/tex] π r³
Mancini's Pizzeria sells four types of pizza crust. Last week, the owner tracked the number sold of each type, and this is what he found. Type of Crust Number Sold Thin crust Thick crust Stuffed crust Pan style Based on this information, of the next pizzas he sells, how many should he expect to be thick crust? Round your answer to the nearest whole number. Do not round any intermediate calculations.
The complete exercise with the answer options is as follows:
Mancini's Pizzeria sells four types of pizza crust. Last week, the owner tracked the number sold of each type, and this is what he found.
Type of Crust Number Sold
Thin crust 364
Thick crust 240
Stuffed crust 176
Pan style 260
Based on this information, of the next 3000 pizzas he sells, how many should he expect to be thick crust? Round your answer to the nearest whole number. Do not round any intermediate calculations.
Answer:
692 thick crust pizzas
Step-by-step explanation:
With the data given in the exercise, we must first find the total number of pizzas, then we must find the proportion between the thick crust pizzas and the total number of pizzas, finally we must propose a rule of three to find the new proportion of crust pizzas thick on a total of 3000 pizzas.
Type of Crust Number Sold
Thin crust 364
Thick crust 240
Stuffed crust 176
Pan style 260
total pizzas : 1040
Now we must calculate for 3000 pizzas how much would be the total of thick crust pizzas.For that we must use the relationship found, that is, in 1040 pizzas there are 240 thick crust pizzas
1040→240
3000→x
x= [tex]\frac{3000x240}{1040}[/tex] = 692
Now we have a new proportion that out of 3000 pizzas there are a total of 692 thick crust pizzas
Name the triangle congruent to ∆ABC.
∆ABC ~∆ ___
Answer: QPR
Step-by-step explanation:
Angle A is congruent to angle Q
Angle B is congruent to angle P
Angle C is congruent to angle R
Therefore, triangle ABC is congruent to triangle QPR
If you have 2 cans of tomato soup, 3 cans of chicken soup, 2 cans of cheese soup, 2 cans of potato soup and 1 can of beef soup what is the probability that he will choose a ca of tomato and a can of cheese soup
Answer:
1/25
Step-by-step explanation:
Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.
probability of choosing a can of tomato and a can of cheese soup = probability of choosing a can of tomato x probability of choosing a can of cheese soup
total number of cans = 2 + 3 +2 + 2 + 1 = 10
probability of choosing a can of tomato = number of can of tomato / total number of cans
= 2/10 = 1/5
probability of choosing a can of cheese soup = number of can of cheese soup / total number of cans
= 2/10 = 1/5
1/5 x 1/5 = 1/25
Select all equations whose graphs have a vertex with x-coordinate 2
A. y=(x-2)(x-4)
B. y=(x-2)(x+2)
C. y=(x-1)(x-3)
D. y=x(x+4)
E. y=x(x-4)
Answer:
C
Step-by-step explanation:
because you have to foil then do -b/2a
By finding the x-coordinate of each vertex, we will see that the correct options are C and E.
How to identify the x-value of the vertex?
For a quadratic equation of the form:
y = (x - a)*(x - b)
Where a and b are the roots, such that a < b, the x-value of the vertex is given by:
a + (b - a)/2
With that, we can check the x-value of the vertex of each option.
A) y=(x-2)(x-4)
The x-value of the vertex is:
2 + (4 - 2)/2 = 3
B) y=(x-2)(x+2)
The x-value of the vertex is:
-2+ (2 - (-2))/2 = 0
C) y=(x-1)(x-3)
The x-value of the vertex is:
1 + (3 - 1)/2 = 2
D) y = x(x+4) = (x - 0)*(x + 4)
The x-value of the vertex is:
-4 + (0 - (-4))/2 = -2
E) y=x(x-4) = (x - 0)*(x - 4)
The x-value of the vertex is:
4 + (0 - (4))/2 = 2
So the two options that have a vertex with x-coordinate 2 are options C and E.
If you want to learn more about quadratic equations, you can read:
https://brainly.com/question/1214333