Answer:
(12)^2=(n+1)^2
12=n+1
12-1=n
n=11
Step-by-step explanation:
another one
(12)^2-(n+1)^2=0
(12-n-1)(12+n+1)=0
either:-
n=11 or n=-13
\(~~~(n+1)^2 =144\\\\\implies n+1= \pm\sqrt{144}\\\\\implies n+1 = \pm12\\\\\implies n = \pm12 -1\\\\\text{Hence,}~ n = 11 ~\text{and}~ n = -13\)
find three examples of corporate logos. do they incorporate symmetry? if so, and what kind? your response should be 3-5 sentences long
Answer:
Symmetry is the property of an object to retain its shape even if it is turned or turned.
The three corporate logos are McDonald, Shell, Snapcaht
McDonald company logo is symmetrical and it is a reflective symmetry.
Shell logo is symmetrical and it is also reflective symmetry.
Snaphcat logo is symmetrical and it is also reflective symmetry.
Which is a correct similarity statement for the figures below?
A- ABC~EDF
B- ABC~DFE
C- ABC~DEF
D- ABC~EFD
Answer:
C!
Step-by-step explanation:
the sides all have the same ratio
8/12 = 10/15 = 14/21 = 2/3
Construct a truth table for each of these compound propositions
a) p → ⇁p
b) p ↔ ⇁p
c) p ⊕ (p V q) d) (p ∧ q) → (p V q) e) (p → ⇁p) ↔ (p ↔ q) f) (p ↔ q) ⊕ (p ↔ ⇁q)
After considering the given data we conclude that there truth table is possible and is placed in the given figures concerning every sub question.
A truth table is a overview that projects the truth-value of one or more compound propositions for each possible combination of truth-values of the propositions starting up the compound ones.
Every row of the table represents a possible combination of truth-values for the component propositions of the compound, and the count of rows is described by the range of possible combinations.
For instance, if the compound has just two component propositions, it comprises four possibilities and then four rows to the table. The truth-value of the compound is projected on each row comprising the truth functional operator.
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help appreciated thanks
Answer:
No
Step-by-step explanation:
x=(b-5)/c≠(5-b)/c
supposedly
b=6
c=1
x=6-5/1=1
x=5-6/1= -1
1≠ -1
Answer:
No
Step-by-step explanation:
x = b - 5 / L equal to - (5 - b) / L
A video game store allows customers to rent games for $4.75 each. Customers can also buy a membership for $54 annually, and video games would only cost $2.50 each. Write and solve an equation to find the number of video games a customer would have to rent in a year in order for the two options to be equal?
Answer:
54+2.50x=4.75x
x=24 video games
Step-by-step explanation:
54+2.50x=4.75x
54=2.25x
x=24
Check answer:
54+2.5(24)=2.25(24)
114=114
find the volume of the region contained in the cylinder x 2 y 2 = 9, bounded above by the plane z = x and below by the xy-plane.
the volume of the region contained in the cylinder x² + y² = 9, bounded above by the plane z = x and below by the xy-plane is 0.
Given: The cylinder is x² + y² = 9, bounded above by the plane z = x and below by the xy-planeWe know that, the cylinder is x² + y² = 9Which is (x/a)² + (y/b)² = 1Where a = 3 and b = 3The plane is z = xThe region is bounded below by the xy-plane Thus, the volume of the region can be found by integrating z = x with limits of x² + y² ≤ 9.So, V = ∭ dx dy dz where the limits are given by the cylinder and the plane.V = ∫∫∫ (x) dV ... (1)Now, converting the integral into cylindrical coordinates we have,∫∫∫ (x) dV = ∫θ = 0 to 2π ∫r = 0 to 3 ∫z = 0 to r cos θ (r cos θ) rdzdrdθ ... (2)x = r cos θ, y = r sin θ, and z = z.We know that the limits of x² + y² ≤ 9 in cylindrical coordinates are 0 ≤ θ ≤ 2π, 0 ≤ r ≤ 3, 0 ≤ z ≤ r cos θ.Using (2) in (1), we haveV = ∫θ = 0 to 2π ∫r = 0 to 3 ∫z = 0 to r cos θ (r cos θ) rdzdrdθ= ∫θ = 0 to 2π ∫r = 0 to 3 [r² cos θ / 2] dr dθ= ∫θ = 0 to 2π [ 9 cos θ / 2 ] dθ= 9 [ sin θ ]θ = 0 to 2π= 0Thus, the volume of the region contained in the cylinder x² + y² = 9, bounded above by the plane z = x and below by the xy-plane is 0.
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determine whether the points are (2, −1, 2), (0, 0, 1), (0, 5, −2), (−1, 3, −1)A. coplanar B. coplanar
Answer:
Step-by-step explanation:
the points are not coplanar
lets use the first three points to find the equation of the plane:
we need to find two vectors. we can use vectors from (2,-1,2) to (0,0,1) and from (2,-1,2) to (0,5,-2)
vector 1= (-2,1,-1)
vector 2=(-2,6,-4)
now we can find the normal vector:
n= (-2,1,-1) x (-2,6,-4) = (2,6,8)
so the equation containing first three points is:
2x+6y+8z=0
now lets check if the fourth point, (-1,3,-1), lies on this plane:
2(-1) +6(3) +8(-1) =6
since 6 is not equal to 0, the fourth point does not lie on the plane containing the first three points.
therefore, the points are not coplanar.
Solve the system by the method of your choice. Write your answer as a coordinate point (x,
y)
-6x + 5y = -27
- 3x + 3y = -115
The function f(x)=4x-8 is reflected accross the y axis resulting in a new function write the equation of g(x)
what is rotation....
A rotation is a circular movement of an object around a center of rotation. A three-dimensional object can always be rotated about an infinite number of imaginary lines called rotation axes. If the axis passes through the body's center of mass, the body is said to rotate upon itself, or spin.
so for what type of girl did you give brainlist
URGENT!!! Find all missing angles. 129, 121
Answer:
123
Step-by-step explanation:
5/6/7 = 124-1 =123
Answer:
1: 51
2: 34
3:95
4: 43
5: 47
7:59
6: 76
A white tailed deer can sprint at speeds up to 30 miles per hour America bison can run at speeds up to 3,520 feet per minute which animal is faster and by how many miles per hour? There are 5,280 feet in one mile
In 1 minute, bison runs 3520 feet
In 60 minutes, the bison would run
3520*60 feet
211200 feet per hour.
These are equivalent to;
40 miles per hour since 1 mile is equivalent to 5280 feet.
The bison is faster by 10 miles per hour
What is the supplement of ([dozen sixes] + 80)degrees?
28 degrees
22 degrees
82 degrees
188 degrees
Answer:
28°
Step-by-step explanation:
Supplementary angles sum to 180°
( dozen sixes) + 80
= 12 × 6 + 80
= 72 + 80
= 152°
supplement = 180° - 152° = 28°
If 1 litre = 1000ml, then 2/10 a litre = ____.
Answer:
→100ml.
Step-by-step explanation:
If 1 litre = 1000ml, then
\(\small\sf{\quad\dfrac{2}{10} \: of \: 500 \: ml}\)
\(: \implies\small\sf{\dfrac{2}{10} \: of \: 500 \: ml}\)
\(: \implies\small\sf{\dfrac{2}{10} \times 500 \: ml}\)
\(: \implies\small\sf{\dfrac{2 \times 500 \: ml}{10}}\)
\(: \implies\small\sf{\dfrac{1000 \: ml}{10}}\)
\(: \implies\small\sf{\cancel{\dfrac{1000 \: ml}{10}}}\)
\(: \implies\small{\sf{100 \:ml}}\)
∴ The answer is 100 ml.
1. Your mother said you could have new carpeting in your room if you compute
the amount of carpeting needed and the cost. The length of your room is 18.5
feet and the width is 17 feet. The cost of a medium grade of carpeting is $20 per
square yard.
a. How much carpeting will you need for your room?
b. How much will it cost to recarpet your room?
Answer:
A) 34.94444 square yards
B) $698.89
Step-by-step explanation:
17x18.5=314.5 square feet
314.5÷9=34.94444 square yards
a) 34.94444 square yards
34.94444x20=698.8888
b) $698.89
It takes a boat hr to go 12 mi downstream, and 6 hr to return. Find the rate of the boat in still water and the rate of the current
The rate of the boat in still water is 5 miles per hour and rate of the boat in current is 3 miles per hour.
Let us represent the rate of boat in still water hence and rate of boat in current be y. Also, we know that speed = distance/time. Hence, keep the values in formula -
Converting mixed fraction to fraction, time = 3/2 hour
Time = 1.5 hour
1.5 (x + y) = 12 : equation 1
Divide the equation 1 by 3
0.5 (x + y) = 4 : equation 2
6 (x - y) = 12 : equation 3
Divide the equation 3 by 6
(x - y) = 2
x = 2 + y : equation 4
Keep the value of x from equation 4 in equation 2
0.5 (2 + y + y) = 4
1 + y = 4
y = 4 - 1
y = 3 miles/ hour
Keep the value y in equation 4 to get x
x = 2 + 3
x = 5 miles per hour
The rate in still water and current is 5 and 3 miles per hour.
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The complete question is-
It takes a boat 1 (1/2) hr to go 12 mi downstream, and 6 hr to return. Find the rate of the boat in still water and the rate of the current.
pls helppppppp its math
Answer:
th
e last oneStep-by-step explanation:
Answer:
I think its E because it's in between E and F and E and G
Step-by-step explanation:
-9 = -7+w what is W???????!!!!!!!!!!!!!
need help asap please help
Answer:
the answer is -2, substitution took place tht is why w turned to -w
Step-by-step explanation:
-W=9 - 7
-W= 2.
W=-2
helppppppphhhhbb fast
Answer:
Lateral surface area: 364 yd^2
Total surface area: 624 yd^2
Step-by-step explanation:
Lateral area: 2(14x13) = 364 yd^2
Total area= 364 + 120 + 140 = 624 yd^2
suppose nine pairs of similar-looking boots are thrown together in a pile. what is the minimum number of individual boots that you must pick to be sure of getting a matched pair? why? since there are 9 pairs of boots in the pile, if at most one boot is chosen from each pair, the maximum number of boots chosen would be . it follows that if a minimum of boots are chosen, at least two must be from the same pair.
the minimum number of individual boots that must be picked to be sure of getting a matched pair is 2.
Since there are 9 pairs of boots in the pile, we can determine that each pair has two boots. If at most one boot is chosen from each pair, the maximum number of boots chosen would be 18.
To guarantee that a matched pair of boots is chosen, we must pick at least two boots from the pile, one from each boot of the same pair. Therefore, the minimum number of individual boots that must be picked to be sure of getting a matched pair is 2.
Number of pairs of boots in the pile = 9
Number of boots in each pair = 2
Maximum number of boots that can be chosen = 9 x 2 = 18
Minimum number of boots required to guarantee a matched pair = 2
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We collected data from 9th and 10th. 9th grade students were 45% of the responses and 10th grade were the
rest. Of the 9th graders 31% said they did like the school lunches and 42% of the 10th graders said they did like
the school lunches. Find the probability that if we chose a student at random that they would not like the school
lunches.
Answer is 64.05% probability that if we chose a student at random
To find the probability that a randomly chosen student would not like the school lunches, we need to find the complement of the probability that they do like the school lunches.
The proportion of 9th graders in the sample is 45%, so the proportion of 10th graders is 100% - 45% = 55%.
Of the 9th graders, 31% said they liked the school lunches, so the proportion that did not like them is 100% - 31% = 69%.
Of the 10th graders, 42% said they liked the school lunches, so the proportion that did not like them is 100% - 42% = 58%.
So, the probability that a randomly chosen student would not like the school lunches is:
(0.45 * 0.69) + (0.55 * 0.58) = 0.6405 or 64.05% (rounded to two decimal places).
Therefore, there is a 64.05% probability that if we chose a student at random, they would not like the school lunches.
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It costs Chevrolet $20,000,000 to develop and market a
new model of a car. The company sells this car model
for $25,000 each. How many cars must Chevrolet sell
in order to profit more than $5,000,000?
express the limit as a definite integral on the given interval. lim n → [infinity] n ∑ i = 1 cos x i x i δ x , [ 3 π , 5 π ]
The given limit can be expressed as the definite integral ∫[3π, 5π] cos(x) dx over the interval [3π, 5π].
To express the limit as a definite integral, we can rewrite the sum as a Riemann sum and take the limit as n approaches infinity.
The given sum can be written as:
lim(n → ∞) [Σ(i = 1 to n) cos(xi) Δxi],
where Δxi = (b - a) / n is the width of each subinterval, xi is a sample point in the i-th subinterval, and [a, b] is the interval [3π, 5π].
To express the limit as a definite integral, we can rewrite the sum using the definite integral notation:
lim(n → ∞) [Σ(i = 1 to n) cos(xi) Δxi] = ∫[3π, 5π] cos(x) dx,
where dx represents an infinitesimally small change in x. By taking the limit as n approaches infinity, the sum converges to the definite integral.
Therefore, the given limit can be expressed as the definite integral ∫[3π, 5π] cos(x) dx over the interval [3π, 5π].
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Please help fast Algerbra
you are trying to estimate the percent of people in california who have a college degree. you randomly sample 120 individuals, and 7 of them say they have a college degree. using the appropriate rule of thumb, answer: is it ok to use these numbers to calculate a 95%-confidence interval for the percent of all california residents with a college degree?
To determine if it is appropriate to use the given sample of 120 individuals, with 7 of them having a college degree, to calculate a 95% confidence interval for the percent of all California residents with a college degree, we can apply the rule of thumb for sample size.
The rule of thumb states that for estimating proportions, a sample size should be large enough so that both the number of successes (in this case, individuals with a college degree) and failures (individuals without a college degree) are at least 10.
In the given sample, there are 7 individuals with a college degree. To determine if this meets the rule of thumb, we need to ensure that both the number of successes and failures are at least 10. Since the sample size is 120, the number of failures can be calculated as 120 - 7 = 113.
Since both the number of successes (7) and failures (113) are above 10, the rule of thumb is satisfied. Therefore, it is acceptable to use these numbers to calculate a 95% confidence interval for the percentage of all California residents with a college degree.
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Plz help me 10 points
Answer:
I think the answer is 7.20.....
Now that i can answer finally, the answer is $7.20, if she loses $2.40 every time she doesn't do her chore, that $2.40 x 3 which gets you $7.20
is 3.65 less , greater than or equal to 1/4
Answer:
less!
Step-by-step explanation:
1/4 is equal to 0.25, so it is less than 3.65
A bar of gold is a prism with volume 165 cm?
Its cross-section is a trapezium with dimensions as shown.
Calculate the length of the gold bar.
A similar bar of gold has a volume of 675.84 cm? Calculate the height of this bar of gold.
A different bar of gold has a volume given by the formula V = h^2 y. Rearrange the formula to make h the subject.
Answer:
To calculate the length of the gold bar, we need to first calculate the area of the trapezium cross-section, using the formula for the area of a trapezium:
Area = (a + b) x h / 2
where a and b are the lengths of the parallel sides of the trapezium, and h is the height.
From the diagram, we can see that a = 4 cm, b = 10 cm, and h = 7 cm. Substituting these values into the formula, we get:
Area = (4 + 10) x 7 / 2 = 49 cm^2
We can now calculate the length of the gold bar by dividing its volume by its cross-sectional area:
Length = Volume / Area = 165 / 49 = 3.3673 cm (to 4 decimal places)
Therefore, the length of the gold bar is approximately 3.3673 cm.
For the second part of the question, we can use the formula for the volume of a prism to calculate the height of the similar bar of gold:
Volume = Area x Height
where Area is the area of the trapezium cross-section, and Height is the height of the gold bar.
From the given information, we know that Volume = 675.84 cm^3, and we have already calculated Area to be 49 cm^2. Substituting these values into the formula, we get:
675.84 = 49 x Height
Height = 675.84 / 49 = 13.793 cm (to 3 decimal places)
Therefore, the height of the similar bar of gold is approximately 13.793 cm.
For the third part of the question, we need to rearrange the formula V = h^2 y to make h the subject. We can start by dividing both sides by y:
V / y = h^2
Next, we can take the square root of both sides:
sqrt(V / y) = h
Therefore, the formula rearranges to:
h = sqrt(V / y)
This gives us the height of the bar of gold in terms of its volume and the value of y.
Step-by-step explanation:
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For an arithmetic sequence a,= 7+3(n-1), what is the 31st term?a.) 97b.) 100c.) 91d.) 94
For an arithmetic sequence a,= 7+3(n-1)
when n is 31
For an arithmetic sequence a,= 7+3(31-1)
An arithmetic sequence a,= 7+3(30)
An arithmetic sequence a,= 7+90
An arithmetic sequence a= 97
THE CORRESCT
For her party, Carla bought a 5-pound bag of candy to give as party treats. She invited 15 people. How much candy will each of the 15 people get? Choose the correct equation and answer for this situation.
A) 15 ÷ 5 = \(\frac{15}{5}\) = 3 pounds
B) 5 ÷ 15 =\(\frac{5}{15}\) = \(\frac{1}{3}\) pounds
C) 5 ÷ 15 = 3 pounds
D) 15 ÷ 5 = \(\frac{1}{3}\) pounds
If for her party, Carla bought a 5-pound bag of candy to give as party treats. She invited 15 people. The amount of candy that each of the 15 people get is: A) 15 ÷ 5 = 15/5 = 3 pounds.
How to find the amount of candy to gives as party treats?Given data:
Candy bought = 5
Number of people invited = 15
Now let find the amount of candy to gives as party treats
Number of candy = Number of people invited / Candy bought
Number of candy = 15/5
Number of candy = 3 pounds
Therefore we can conclude that the correct option is A.
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