The attraction that reaches a greater height and what it represent in terms of the context is:
The slingshot reaches a greater height at 162 ft, which is the vertex of the parabola.The Ferris wheel reaches a greater height at 145 ft, which is the highest point on the circle.HeightFerris wheel
(x – 100)2 + (y – 75)2 = 4,900
y max= 75+70
y max=145 ft
Sling shot
y = –3x² + 48x – 30
dy/dx=-6+48=0
x=48/6
x=8
Hence:
y max = –3(8)² + 48(8) – 30
y max = –3×64+48(8)-30
y max = –192+384-30
y max =162 ft
Therefore slingshot reaches a greater height at 162 ft and Ferris wheel reaches a greater height at 145 ft.
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What is the range of the function g(x) = –3sec(2x + 4) – 1?
(–∞, –2] ∪ [0, ∞)
(–∞, –4] ∪ [0, ∞)
(–∞, –4] ∪ [2, ∞)
(–∞, –5] ∪ [1, ∞)
The range of the function g(x) will be (–∞, –4] ∪ [2, ∞). Option C is correct.
What is the difference between domain and range?The domain denotes all potential x values, while the range denotes all possible y values.
When we plot the graph of the given function we will get the maximum and the minimum value till we get the function plot. The difference in the value of those coordinates is the range of the function.
The range of the function g(x) will be (–∞, –4] ∪ [2, ∞).
Hence option C is correct.
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How to solve this one
Please step by step
Answer: 1/2
Step-by-step explanation:
Dividing the numerator and denominator by x, we get the limit is equal to:
[tex]\lim_{x \to -\infty} \frac{-\sqrt{1+\frac{5}{x}+\frac{1}{x^2}}+3}{4+\frac{7}{x}}\\\\=\frac{\lim_{x \to -\infty} \left(-\sqrt{1+\frac{5}{x}+\frac{1}{x^2}}+3 \right)}{\lim_{x \to -\infty} \left(4+\frac{7}{x} \right)}\\\\=\frac{2}{4}=\boxed{1/2}[/tex]
Brittany removed half of the total number of marbles from her bag, and gave one fourth of the remaining marbles to her friend. What fraction of the total number of marbles is left in the bag? A) 1/4, B) 3/8, C) 1/2, D) 7/8
The fraction of the total number of marbles is left in the bag after removing and giving part to her friend is 3/8
Fractionlet
Number of marbles in her bag = xNumber of marbles removed from her bag = 1/2xRemaining marbles = x - 1/2x
= (2x-x) / 2
= x/2
= 1/2x
Number of marbles given to her friend = 1/4 of 1/2x
= 1/4 × 1/2x
= 1/8x
Number of marbles left in the bag = Remaining marbles - Number of marbles given to her friend
= 1/2x - 1/8x
= (4x-x) / 8
= 3x/8
= 3/8x
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Which expression is equivalent to (a²b¹c)²(6a³b)(2c³)³₂ 4ab¹2c3 ?
The expression (a²b¹c)² × (6a³b) × (2c³)³ × (4ab¹) × (2c³) is equivalent to the expression 384a⁸b⁴c¹⁴.
What is an equivalent expression?The equivalent is the expressions that are in different forms but are equal to the same value.
The expression is given below.
⇒ (a²b¹c)² × (6a³b) × (2c³)³ × (4ab¹) × (2c³)
By simplifying, we have
⇒ a⁴b²c² × 6a³b × 8c⁹ × 4ab¹ × 2c³
⇒ 384a⁸b⁴c¹⁴
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i need help with this question!!!!!!
Answer: [tex]87^{\circ}[/tex]
Step-by-step explanation:
Because an angle inscribed in a semicircle is a right angle, [tex]\angle B=90^{\circ}[/tex]
So, as angles in a triangle add to 180 degrees, [tex]\angle A=180^{\circ}-90^{\circ}-3^{\circ}=\boxed{87^{\circ}}[/tex]
Find the linear regression equation for the transformed data. x=1,2,3,4,5 y=13,19,37,91,253 log y=1.114,1.279,1.568,1.959,2,403
A. log(y)=-0.687x+0.326
B. log(y)=0.687x+0.326
C. log(y)=-0.326x+0.687
D. log(y)=0.326x+0.687
Answer:
The answer is OPTION (D)log(y)=0.326x+0.687
Linear regression:
It is a linear model, e.g. a model that assumes a linear relationship between the input variables (x) and the single output variable (y)
The Linear regression equation for the transformed data:
We transform the predictor (x) values only. We transform the response (y) values only. We transform both the predictor (x) values and response (y) values.
(1, 13) 1.114
(2, 19) 1.279
(3, 37) 1.568
(4, 91) 1.959
(5, 253) 2.403
X Y Log(y)
1 13 1.114
2 19 1.740
3 37 2.543
4 91 3.381
5 253 4.226
Sum of X = 15
Sum of Y = 8.323
Mean X = 3
Mean Y = 1.6646
Sum of squares (SSX) = 10
Sum of products (SP) = 3.258
Regression Equation = ŷ = bX + a
b = SP/SSX = 3.26/10 = 0.3258
a = MY - bMX = 1.66 - (0.33*3) = 0.6872
ŷ = 0.3258X + 0.6872
The graph is plotted below:
The linear regression equation is log(y)=0.326x+0.687
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which equation has the solution x=6
Answer:
need more info
Step-by-step explanation:
what I can tell you is that when you change all the x's in the equation to 6s, both sides of the equation will equal eachother.
In 2010, the amount in Raja's account was 40 Lakhs. He debited 8000 in 2011, and in 2012, he debited 2,07,000. In 2013, he credited 1,16,000, and in 2014 he credited 12,000. How much more he has to credit to be worth what it was at at the start of 2010
How much more he has to credit to be worth what it was at at the start of 2010 is: 3,657,000.
Additional credit amountFirsts step
Total amount debited=8,000+207,000
Total amount debited=215,000
Total amount credited=116,000+12,000
Total amount credited=128,000
Second step
Additional amount to credit:
40 Lakhs is 4,000,000
Hence:
Additional amount to credit=4,000,000- (215,000+128,000)
Additional amount to credit=4,000,000-343,000
Additional amount to credit=
Therefore how much more he has to credit to be worth what it was at at the start of 2010 is: 3,657,000.
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It is 6 kilometers from Linda's house to the nearest mailbox. How far is it in meters?
Answer:
6000 meters
Step-by-step explanation:
Each kilometer is 1000 meters so 1000 x 6 is 6000
A student wanted to find the sum of all the even numbers from 1 to 100. He said: The sum of all the even numbers from 1 to 100 is twice the sum of all the odd numbers from 1 to 100. The sum of all the odd numbers from 1 to 100 is 1002. Explain why each of these statements is incorrect. HELP ME ASAP
Statement 1
Twice the sum of the odd numbers would be:
[tex]2(1+3+5+\cdots+99)=2+6+10+\cdots+198[/tex], which is not equal to the sum of all the even numbers from 1 to 100.
Statement 2
The sum of all the odd numbers from 1 to 100 can be thought of as an arithmetic sequence containing 50 terms, with first term 1 and common difference 2. This means the sum of the series would be:
[tex]\frac{50}{2}[2(1)+(50-1)(2)]=2500[/tex]
which is not equal to 1002.
The statement 1 and the statement 2 are incorrect.
The sum of the arithmetic series of first term a₁ and common difference d will be s= n/2{2a₁+(n-1)d
Statement 1:
Given in statement 1, Twice the sum of the odd numbers would be:
2(1+3+5+7.......+99)=2+6+10+14+.....198
which is not equal to the sum of all the even numbers from 1 to 100.
Statement 2:
The sum of all the odd numbers from 1 to 100 can be calculated as follows where this is an arithmetic sequence of 50 terms, where the first term is 1 and the common difference is 2. This means the sum of the arithmetic series would be:
s= n/2{2a₁+(n-1)d}
putting the above formula
a₁=1
n=50
d=2
s= 50/2{2(1)+(50-1)2} = 25{2+98} =2500 ≠1002
which is not equal to 1002.
Therefore statement 1 and 2 are incorrect.
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What is the best estimate of the perimeter of the figure on the grid if each square has side lengths of 1 mm?
Answer:
4mm
Step-by-step explanation:
you have to add both sides after substituting each of the 4 sides by 1mm
which gives you the total of 4
Which absolute value functions will be narrower than the parent function, f(x) = |x|? Check all that apply.
f(x) = |x|
f(x) = |x – 2|
f(x) = |x| + 3
f(x) = 2.9|x|
f(x) = 1.2|x + 8|
f(x) = 0.7|x| – 3.2
The correct answer is option 4 which is f(x) = 2.9|x| is narrower than the parent function f(x) = |x|
What is a function?A function is defined as the expression that set up the relationship between the dependent variable and independent variable.
Given parent function is f(x)=|x|
Now we have to find which function from given choices will be narrower than the parent function.
Notice that adding or subtracting some number from the parent function only shifts the graph up, down, and left of the right side.
But that will not make the function narrower or broader.
So f(x) = |x – 2| and f(x) = |x| + 3, can't be the answer.
Multiplying by some positive real number which is more than 1, makes the function narrower.
Only f(x) = 2.9|x| from remaining choices fits that case.
Hence correct answer is option 4 which is f(x) = 2.9|x| is narrower than the parent function f(x) = |x|
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Answer:
D,E
Step-by-step explanation:
Seismology In 1812, an earthquake of magnitude 7.9 shook New Madrid,
Missouri. Compare the amount of energy released by that earthquake to the
amount of energy released by each earthquake below.
magnitude 9.5 in Valdivia, Chile, in 1960
Can anyone solve this problem ?
Answer:
defectionist forme solb ifv
1532＝8467 4286＝5713 3059＝
Answer:
3059＝6940
Step-by-step explanation:
For the two examples given, we can see a consistency:
1 becomes 8 ; 8 becomes 1
5 becomes 4 ; 4 becomes 5
3 becomes 6 ; 6 becomes 3
2 becomes 7
because they are the only two digits left without a correlated pair, we can assume that 0 and 9 have the same relationship
So,
3 -> 6
0 -> 9
5 -> 4
9 -> 0
Meaning that 3059＝6940
hope this helps!! have a lovely day :)
if angle X is an acute angle with tan X = 8/7, what is the value of sec X?
Answer: [tex]\frac{\sqrt{113}}{7}[/tex]
Step-by-step explanation:
As X is an acute angle, all 6 trigonometric functions with an argument of X are positive.
Using the identity [tex]1+\tan^{2} X=\sec^{2} X[/tex],
[tex]1+\left(\frac{8}{7} \right)^{2}=\sec^{2} X\\\\\sec^{2} X=\frac{113}{49}\\\\\therefore \sec X=\boxed{\frac{\sqrt{113}}{7}}[/tex]
good morning i need help very fast
Step-by-step explanation:
all the details You can find in the attachment.
Select the point that is a solution to the system of inequalities.
y≤2x-2
y≤ x²-3x
Both statements are true. Therefore (4,2) is a solution and option D is correct.
The given inequalities are [tex]y\leq 2x-2[/tex] and [tex]y\leq x^{2} -3x[/tex].
We need to select the point that is a solution to the system of inequalities (-2,-1), (1,3), (2,1) and (4,2).
What is an example of a system of inequalities in real life?Inequalities can be seen in the speed limits on roads, the minimum age for seeing certain movies, and the distance you have to walk to go to the park. Inequalities represent a limit of what is permitted or achievable rather than a precise quantity.
Any point is a solution to this system of inequality if it satisfies both inequalities.
Check the inequalities by each option.
For (-2, -1), [tex]-1\leq 2(-2)-2 \implies -1\leq -6[/tex].
This statement is false because -1 is greater than -6. Therefore (-2,-1) is not a solution and option A is incorrect.
For (1, 3), [tex]3\leq 2(1)-2 \implies 3\leq 0[/tex]
This statement is false because 3 is greater than 0. Therefore (1,3) is not a solution and option B is incorrect.
For (2,1), [tex]1\leq 2(2)-2 \implies 1\leq 2[/tex].
[tex]1\leq 2^{2} -3(2) \implies 1\leq -2[/tex]
This statement is false because 1 is greater than -2. Therefore (2,1) is not a solution and option C is incorrect.
For (4,2), [tex]2\leq 2(4)-2 \implies 2\leq 6[/tex]
[tex]2\leq 4^{2} -3(4) \implies 2\leq 4[/tex]
Both statements are true. Therefore (4,2) is a solution and option D is correct.
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GOD PLEASE HELP!
Which of these is NOT a key factor that contributed to the financial crisis that started in 2007?
bond rating agencies giving CDOs very low ratings, discouraging investors to invest
highly leveraged investment accounts that magnified losses when bond prices decreased
excessive use of subprime mortgages to borrowers with poor credit
banks being incentivized to sell risky mortgages as mortgage-backed securities
Answer:
i think, bond rating agencies giving CDOs very low ratings, discouraging investors to invest
Step-by-step explanation:
Can someone help me answer fast
Answer:
2x+3+9
because plyer scored 9 points and throw 2point shotand same number 3
Please help quick!!
Answer:
the answer will be similar, because if you divide 2, 3, 2.25 by 3 you will get the answer.
If anyone can help me to solve this.
Explanation:
Equation: x + 1 = 9
Solving Steps:
x + 1 = 9 (subtract both sides by 1)
x + 1 - 1 = 9 - 1 (simplify the following)
x = 8
Then check for solution:
x + 1 = 9
[insert x = 8]
8 + 1 = 9
9 = 9
As both sides are equal, the statement is true.
[tex]\large\underline{ \cal{SOLUTION:}}[/tex]
[tex] \large \bold{x + 1 = 9}[/tex]
[tex] \large \bold{x = 9 - 1}[/tex]
[tex] \large \bold{x = \red{8}}[/tex]
[tex] \: [/tex]
[tex]\large\underline{ \cal{CHECKING:}}[/tex]
Put x = 8[tex] \large{ \bold{ \underline{ \red{8} }+ 1 = 9}}[/tex]
___________________________________[tex] \large \bold{-N} \frak{unx-}[/tex]
62. The width of a rectangle is 3 cm less than its length. The perimeter of the rectangle is 30 cm. Find the length and width of the rectangle.
Answer: Length = 9 cm, Width = 6 cm
Step-by-step explanation:
L - 3 + L - 3 + L + L = 30
2L - 6 + 2L = 30
4L - 6 = 30
4L = 36
L = 9
Length = 9 cm
Width = 9-3 = 6 cm
PLEASEEEE PLEASEEEEEEEEE HELPPPPPPPPPP
how do i solve this equation?
Answer:
360
Step-by-step explanation:
using the definition
n [tex]P_{r}[/tex] = [tex]\frac{n!}{(n-r)!}[/tex]
where n! = n(n - 1)(n - 2)..... × 3 × 2 × 1
then
6[tex]P_{4}[/tex]
= [tex]\frac{6!}{(6-4)!}[/tex]
= [tex]\frac{6!}{2!}[/tex]
= [tex]\frac{6(5)(4)(3(2)(1)}{2(1)}[/tex] ← cancel 2(1) on numerator / denominator
= 6 × 5 × 4 × 3
= 360
A firm operated at 80% of capacity for the past year, during which fixed costs were $197,000, variable costs were 70% of sales, and sales were $900,000. Operating profit was
a.$73,000
b.$630,000
c.$58,400
d.$270,000
The correct answer is option A which is the operating profit will be $73000.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Given that:-
A firm operated at 80% of capacity for the past year, during which fixed costs were $197,000, variable costs were 70% of sales, and sales were $900,000.We will consider the following notations and will make the expression for operating profit.
P = profit
S = sales = $900000
F = Fixed cost = $197000
V = 07S = variable cost
So the expression will be given as:-
P = S - F - V
P = S - F - 0.7S
P = 9000000 - 1797000 - ( 0.7 x 9000000)
P = 703000 - 630000
P = $73000
Therefore the correct answer is option A which is the operating profit will be $73000.
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Solve the equation.
6(x−1)6/7=12
Answer:
Linear Equations In One Variable =
[6(x-1)6] / 7 = 12
[(6x - 6)6] = 84
[36x - 36] = 84
36x = 84 + 36
36x = 120
x = 120/36
x = 10/3
equation solved (Answer : 10/3)
which number property is illustrated in the Identy ?
(1/2+1/3)+1/4 = 1/2 + (1/3+ 1/4
A) Associative
B) commutative
C) Distributive
D) Identity
At the local Stop and Shop, Haagan Dazs ice cream is on sale for $3.67 for 14oz.
Breyer’s half gallons are on sale for $4.69. Use unit pricing to compare and determine
which is a better deal.
Answer:
Breyer
Step-by-step explanation:
1gallon=128oz half gallon=64oz
We can make both of their unit to 224oz: 14x16=224oz 64x3.5=224oz
Haagen Dazs:3.67x16=58.72/224oz
Breyer: 4.69x3.5=16.415/224oz
Breyer’s way cheaper
easy:
Clara buy: 300 apples, 74 potato, 15 eggs e 2 phone.
how many things did he buy in all?
Hard:
There are 92 boys in a school, the girl 100.How many more girl are there than boys?
Answer:
easy = 391 items
hard = there are 8 more girls than there are boys
In the 30-60-90 triangle below, side s has a length of.
length of
30
90⁰
S
10
60"
A. 5.2: 5.2
B. 5,10,3
and side q has a
Answer: C, 5, 5√3
Step-by-step explanation:
The short leg of a 30-60-90 triangle equal half the hypotenuse, 10/2 = 5. The long leg equals √3 times the short leg, 5*√3 = 5√3.
