Answer:
Step-by-step explanation:
prism A side area is square of side length
(2x + 3)² = 25x + 25
4x² + 12x + 9 = 25x + 25
4x² - 13x - 16 = 0
x = (13 ±√(13² - 4(4)(-16))) / (2(4))
positive answer is
x = (13 +√425)/8 which is approximately 4.20194...
so side length of B is
4((13 +√425)/8) + 6 which is approximately 22.80776...
Volume is side length cubed
V = (4((13 +√425)/8) + 6)³ which is approximately 11,864.4643...
V = 11,864 units³
Mr. Darson bought 6 boxes of nails from a shop. Each box had an equal number of nails. He gave 8 nails to each of his 38 students. He then had 26 nails left. Find the number of nails in each box.
Answer:55 nail boxes
Step-by-step explanation: first we have to find out the total amount of nails in all the boxes so for this we do 38*8=304
when he gave all the nails to all his students he has 26 extra nails left. so we add this amount to the original which gives us 330 total nails.
to find out the number of nails in eadh box we divide 330/6=55
Need asapppppppp!!!!!
Answer:
122 degrees-
Step-by-step explanation:
[tex]m\angle {GOC}=m\angle{GOA}+m\angle{AOC}\\=32^\circ + 90^\circ\\=122^\circ[/tex]
Angle GOA is a vertical angle with angle DOE, so it has the same measure (vertical angles are congruent).
Angle AOC is a right angle because angle COE is a right angle.
A rectangular plot of land is 100 feet long and 50 feet wide. How long is the walkway along the diagonal? Round to the nearest foot.
A.
75 feet
B.
87 feet
C.
112 feet
D.
150 feet
Answer:
C
Step-by-step explanation:
Pythagorean theorem
A^2 + B^2 = C^2
Please help me out with thisbeen stuck on this for like a day
Check the picture below, that'd be more or less the pattern of the sprinklinkg, so when we find it's vertex, we'd find how far along the ground at the maximum and its maximum height.
[tex]h(x)=160x-16x^2\implies h(x)=-16x^2+160x+0 \\\\\\ \textit{vertex of a vertical parabola, using coefficients} \\\\ h(x)=\stackrel{\stackrel{a}{\downarrow }}{-16}x^2\stackrel{\stackrel{b}{\downarrow }}{+160}x\stackrel{\stackrel{c}{\downarrow }}{+0} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right)[/tex]
[tex]\left( -\cfrac{160}{2(-16)}~~,~~0-\cfrac{160^2}{4(-16)} \right)\implies \left( \cfrac{160}{32}~~,~~\cfrac{25600}{64} \right) \\\\\\ (\stackrel{\stackrel{\textit{along the ground}}{\downarrow }}{5}~~,~~\underset{\stackrel{\uparrow }{\textit{maximum height}}}{400})[/tex]
well, as you may notice from the picture, the water will hit the ground again when h(x) = 0 or namely y = 0, so let's do that to find out
[tex]h(x)= 160x-16x^2\implies \stackrel{h(x)}{0}= 160x-16x^2 \\\\\\ \stackrel{\textit{common factoring}}{0=16x(10-x)} \implies x = \begin{cases} 0&\leftarrow \textit{hits the ground first}\\ 10&\leftarrow \textit{hits \underline{the ground again}} \end{cases}[/tex]
The ratio of the totals of the numbers in box A and box B is 2:3.
Swap two numbers, one from each box, so that the ratio of the totals of the numbers is now 9:11. Show your working.
Please answer asap!! :)
Answer:
Swap 10 from box A and 15 from box B
Step-by-step explanation:
For calculate the ratio between the boxes we find the mean of the box A and the mean of the box B and divide this two results.
For find the mean of a set you use the next formula [tex]\bar{x} = \frac{\text{sum numbers}}{\text{total numbers}}[/tex]
[tex]\bar{A} = \frac{4+5+9+10+12}{5} = \frac{40}{5}= 8\\\bar{B} = \frac{6+7+13+15+19}{5} = \frac{60}{5}= 12[/tex]
Then the ratio is equal to [tex]\frac{\bar{A}}{\bar{B}} = \frac{8}{12} = \frac{2}{3}[/tex]
Know the ask us for a ratio of 9:11 then we know two things about the boxes.
If you swap the numbers between them the total of numbers in the mean not change is always 5 and the sum of all the elements in both boxes is always 100. With this we can state the next equation:
The new mean of [tex]\bar{A}[/tex] is 9 then:
[tex]\frac{\text{sum of elements in box A}}{5} = 9[/tex]
[tex]\text{sum of elements in box A} = 45[/tex]
The new mean of [tex]\bar{B}[/tex] is 11 then:
[tex]\frac{\text{sum of elements in box B}}{5} = 11[/tex]
[tex]\text{sum of elements in box B} = 55[/tex]
Now we know what is the sum of the elements in both boxes, but how we find the elements for swap? Well with the next relation.
When you take out a element from the box A this elements is substracted to the total sum of the elements in the box A and get a new sum of total of elements named [tex]c[/tex] (where [tex]a[/tex] is the element taken):
[tex]40 - a = c[/tex]
And when you sum an element to the box A the current sum of total elements in the box change to (where [tex]b[/tex] is the added element):
[tex]b + c = 45[/tex]
So replace [tex]c[/tex] for the first relation and get:
[tex]b + 40 - a = 45\\b - a = 5[/tex]
From the last equation you can deduct that [tex]b[/tex] is greater than [tex]a[/tex] and the different between both values is 5. So the last step is find a number in the box B that substracted to a number from the box A give us 5. These both numbers are 15 and 10 because 15 - 10 = 5.
can somebody help me with my language arts please???
Answer:
yes!
Step-by-step explanation:
2y = 8x- 70
What’s the slope and y intercept?
Answer:
slope = 4, y- intercept = - 35
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
2y = 8x - 70 ( divide through by 2 )
y = 4x - 35 ← in slope- intercept form
with slope m = 4 and y- intercept c = - 35
What is the Ratio of 129 215
Answer:
none
Step-by-step explanation:
Please Help! I don't understand how the Alabama paradox works. I will give you a lot of points!
--PLEASE show all work
The table shows the populations, in thousands, of the three states in a country with a population of 3760 thousand. Use Hamilton's method to show that the Alabama paradox occurs if the number of seats in congress is increased from 24 to 25
Answer:
State A loses a seat to State B when the total is increased
Step-by-step explanation:
The "work" is most easily done by a spreadsheet, as the calculations are easily defined and very repetitive.
The "fair share" of seats is the fraction the population is of the total, multiplied by the total number of seats. It will generally be a mixed number (integer plus fraction).
If the whole number is 1 or greater, the number of seats allocated at least that whole number.
If not all seats are allocated, the fractions are sorted in decreasing order, and 1 additional seat is added to the allocation for each state, working down the list, until all of the seats are allocated.
__
The attachment shows State A has the highest fraction when the number of seats is 24. Only one additional seat needs to be allocated in that case. State A gets that extra seat.
When the number of seats is 25, States B and C have the highest fractions. Each of them gets one additional seat, and State A gets no additional seats. This results in the appearance of State A giving up a seat to State B.
_____
Additional comment
Hamilton's apportionment method was used for a number of years in the US. The method now in use is substantially different. The current method would divide the 24 seats so that A=3, B=6, C=15. The 25th seat would be given to State A.
help me with number 9 please!!
Answer:
10
Step-by-step explanation:
just guessed
Is (2, 1) a solution to the equation y = 2x - 1?
Answer:
No
Step-by-step explanation:
Substitute the values for their respective variable and evaluate.
[tex]1=2(2)-1\\1=4-1\\1\neq 3[/tex]
Therefore, (2, 1) is not a solution to the equation y = 2x - 1.
(2, 1) is in the form of (x, y).
Then,
☆ x = 2
☆ y = 1
Equation =》y = 2x - 1
Now, substitute the values.....
=》y = 2x - 1
=》(1) = 2(2) - 1
=》1 = 4 - 1
=》 1 ≠ 3
So, (2, 1) is NOT a solution to the equation y = 2x - 1.
______
Hope it helps ⚜
The following data set has a mode of 2, a mean of 10, and a median of 7. Which of these three measures gives the best idea of the typical size of the numbers in the list?
2, 2, 2, 4, 6, 8, 10, 12, 14, 60
A. Median
B. Mode
C. Mean
Answer:
I should think the median
5 divided by 325 what is the strategy to this question and answer
Answer: 65
Step-by-step explanation: divided the 2
Graph one function of y=1/3tan(x-π)
Answer:
ayúdame a encontrarla soy de Perú por favor ayuda
plz help!!!!!!!!!!!!!!
Step-by-step explanation:
Use the exterior angle theorem
The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle
82+ x = 2x + 18
64 = x
PQS angle = 2x + 18 = (2×64) + 18
= 146
General Instructions: Solve the following problems. Write your answers on the space provided.
Find the area under the standard normal curve that lies between the following: (3 pts each)
z=0 and z=2 __________________________
z=0 and z=3 __________________________
z=-3 and z=3 __________________________
z=0 and z=1.70 __________________________
Find the AREA under the standard normal curve: (4 pts each)
to the left of z=-0.40 __________________________
for z<0.40 __________________________
to the right of z=1.65 __________________________
Given the graph below, find the following:
the degree of each vertex (11 points)
Is there an Euler Trail? If there is, give 1 example. (1 point)
Is there a Hamiltonian Path? If there is, give an example. (3 points)
Answer:
Step-by-step explanation:
Find the measure of angle
9514 1404 393
Answer:
(b) 62°
Step-by-step explanation:
Let x represent the measure of the angle.
The complement is (90 -x).
The supplement is (180 -x).
The relationship between the supplement and the complement is ...
(180 -x) = 6 +4(90 -x)
180 -x = 6 +360 -4x
3x = 186
x = 62
The measure of the angle is 62°.
What is the value of ?
T
80°
25°
R
?
P
PLEASE
9514 1404 393
Answer:
105°
Step-by-step explanation:
The exterior angle marked "?" is equal to the sum of the remote interior angles:
? = 25° +80°
? = 105°
What is the probability that client A, the newborn you’re considering for a 30-year policy, lives to be 30 years old? Client A is a non-Hispanic white male, so look in table 14.
Using the probability concept, it is found that there is a 0.97555 = 97.555% probability that client A lives to be 30 years old.
A probability is the number of desired outcomes divided by the number of total outcomes, that is:
[tex]p = \frac{D}{T}[/tex]
In this problem:
Out of 100,000 clients, 97,555 lives to age 30, hence [tex]D = 97555, T = 100000[/tex]Then:
[tex]p = \frac{D}{T} = \frac{97555}{100000} = 0.97555[/tex]
There is a 0.97555 = 97.555% probability that client A lives to be 30 years old.
A similar problem is given at https://brainly.com/question/25790531
Answer: The answer is 0.97424
Step-by-step explanation: The other answer... the math is correct, its just that they have read the source table incorrectly.
Age
29-30 = 97,555
30-31 = 97,424
The correct row is 30-31.
97,424 / 100,000 = 0.97424
You can tell this is the case because look at row 0-1.. its a 100% chance of survival. If you read that row as a '1 year old' then 100% of all people survive until they turn 1? Alas, no, this is not true :(
2. (a) Use a prove by contradiction to show that if a and b are nonzero integers such that a divides b and a + b is odd, then a is odd. (b) Prove that if n is a positive integer, then n² does not equal 2(mod 4).
a. Assume a is even, so a = 2k for some integer k. Now let a and b be integers such that a divides b and a + b is odd.
Since a divides b, b = an for integer n, and in turn b = 2nk, which means b is even and hence a + b is also even. But this contradicts our initial assumption, so a must be odd.
b. Let n be even, so that n = 2k for some integer k. Then
n² = (2k)² = 4k²
so that n² ≡ 0 (mod 4).
Now let n be odd, so n = 2k + 1 for integer k. Then
n² = (2k + 1)² = 4k² + 4k + 1
so that n² ≡ 1 (mod 4).
Therefore n² is never congruent to 2 (mod 4).
how many different 12 member teams can be chosen from a pool of 32 people
Answer:
Step-by-step explanation:
32 choose 12
[tex]\frac{32!}{(32-12)!*12!}[/tex]=225792840
Answer:
P(12,32) = 32!/20!12!
= 2257928402
Hope it helps you
Find the measure of
Answer:
64
Step-by-step explanation:
360-115-129=116 (the sum of exterior angles of triangle is 360)
180-116=64
Jorge wants to find the height of the house, help him find it.
How many ? yards = 6 miles
Answer:
6 miles = 10560 yards
Step-by-step explanation:
To calculate a mile value to the corresponding value in yard, just multiply the quantity in mile by 1760 (the conversion factor). Here is the formula:
Value in yards = value in mile × 1760
Suppose you want to convert 6 mile into yards. Using the conversion formula above, you will get:
Value in yard = 6 × 1760 = 10560 yards
Amanda has $5200 in a savings account that earns 4% simple interest annually. What is the value of her account in 5 years?
Answer:
6,240
Step-by-step explanation:
You start off with 5200, if she earns 4% each year for the next 5 years, she would earn a total of 20% more than what she had now.
You would multiply 5,200 by 1.20 Which equals the answer (above)
Q6) U= {1,2,3,4,5,6,7,8,9,10}
A={1,3,5,7,9)
B= {2,4,5,8)
C={1,10}
D={1,3,6,7,8}
Mention
. AUB
. An B
. (AnB) n (BU A)
. AU (BnC)
. CUD
Answer:
AUB={1,2,3,4,5,7,8,9}
ALL THE NUMBERS WITHOUT REPEATING
AnB={5}
THE NUMBER THE HAVE IN COMMON
(AnB)n(BnC)={5}not too sure
CUD={1,3,6,7,8,10}
These signs give information about two different towns.
Study these signs carefully. Then, answer the questions and complete the statements
about them below.
Use the drop-down menus to complete each statement.
Answer:
In which town does the total number have meaning?
Answer: Town B
For Town A, it does not, cannot, does not.
For Town B, does, can, does.
4) Find the sum of 6\12 and 1\2 .A) 3\12 B) 9\12 C) 12\12 D) 13\12
Answer:
12/12
Step-by-step explanation:
6/12= 1/2
so 1/2+1/2 = One Whole and that the same thing as 12/12
Answer:
Answer is option C
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
IN THE MIDDKE IF EXAM PLS HELPQuestion 3(Multiple Choice Worth 4 points)
Find the length of the unknown side. Round your answer to the nearest whole number.
5 in
5 in
7 inches
10 inches
25 inches
50 inches
Answer:
7 inches
Step-by-step explanation:
5 square + 5 square=50
the square root of 50 is 7.07
7.07 to the nearest whole number is 7
Answer:
7 Inches
Step-by-step explanation:
Pythagorean Theorem: a² + b² = c²
5² + 5² = c²
50 = c²
[tex]\sqrt{50}[/tex] = c
c = 7.07
ROUND
c = 7 inches
Please help do this
Answer:
1)m+5q=1+5x5 =262)(y-x^3)=3-1^3 =3-1 =23)q(p+2)=3(3+2) =3(5) =154)y+y-x=5+5-6 =10-6 =45)(z+y)÷6=6+6÷6 =26)h(j-h)=3(6-3) = 3x3=97)x+y+y = 5+2+2=98)z^2-y =9-4=59)b(4+a)=2(4+6) =2x10 =2010)m-n+m =5-1+5 = 4+5 =911)(h+j)÷6 = (2+4)÷6 = 1mark as brainliast plz