Answer:
±3
Step-by-step explanation:
y is directly proportional to the square of x.
[tex]y \propto x^{2}[/tex]
[tex]y = kx^{2}[/tex]
Find the value of k constant when y=32 and x=4.
[tex]32=k(4)^2[/tex]
Square the number 4.
[tex]32=16k[/tex]
Divide both sides with 16.
[tex]32/16=k[/tex]
[tex]k=2[/tex]
The value of k constant is 2.
Find the value of x when y=18
[tex]y=2x^2[/tex]
[tex]18=2x^2[/tex]
[tex]18/2=x^2[/tex]
[tex]9=x^2[/tex]
[tex]x= \± \sqrt{9}[/tex]
[tex]x=\± 3[/tex]
The value of x when y = 18 is ±3.
N/6 = 15/4 N=____? Help please
Answer:
N = 22.5
Step-by-step explanation:
N/6 = 15/4
Using cross products
4N = 6*15
4N = 90
Divide each side by 4
4N /4 = 90/4
N = 45/2
N = 22.5
Answer: N=22.5
Step-by-step explanation:
N/6=15/4
N*4=15*6
4N=90
4N/4=90/4
N=22.5
what is the value of sin teta if sec teta =-9/4 and teta is in the second quadrant
Answer:
Sin θ = √65/9
Step-by-step explanation:
Sec θ = -9/4
Sec θ = hypotenuse/base
So, hyp = 9, base = -4
Using Pythagorean Theorem to find perp
81 = 16 + P²
P² = √65
Now
Sin θ = Perp/Hyp
Sin θ = √65/9
Answer:
sin θ = [tex]\frac{\sqrt{65} }{9}[/tex].
Step-by-step explanation:
Remember that:
sec θ is the reciprocal of cos θ. Therefore:
cos θ = -4/9.
From this, we can derive that:
Adjacent side = -4.
Hypotenuse = 9
Use the Pythagorean Theorem to solve for the 'Opposite' side:
9² = (-4)² + b²
81 = 16 + b²
65 = b²
b = √65
sin θ = O/H, so:
sin θ = [tex]\frac{\sqrt{65} }{9}[/tex]
5, 14, 11, 16, 7, 5, 18, 9 What is the median?
Answer:
The median would be 10. The number in between 9 and 11 would be 10
Step-by-step explanation:
The numbers in order would be 5,5,7,9,11,14,16,18. Since there is an even amount of numbers in the sequence, the middle two numbers are 9 and 11. You add them together to get 20 then divide by 2. So the answer would be 10.
Hope this helped!!!
Analyze the diagram below and complete the instructions that follow.
Find sin ZNOM.
Answer:
sin NOM = 3/5
Step-by-step explanation:
sin NOM = opposite/ hypotenuse = MN/OM
OM² = 4² + 3² = 25
OM = √25 = 5
sin NOM = MN/OM = 3/5
Dan rolls 2 fair dice and adds the results from each. Work out the probability of getting a total less than 3. Answer pls its my h/w
Answer:
There are 6 * 6 = 36 total outcomes from throwing 2 dice. Of those, there is only 1 that will give you a sum less than 3 (1 + 1) so the answer is 1 / 36.
Which investment account can be used to save for post-secondary education? traditional IRA, 403(b), flexible spending account (fsa), 529 plan, or 401(k)
Answer:
529 plan
Step-by-step explanation:
The 529 plan investment account is a type of account used to save for future education purposes and are sponsored by educational institutions and the state. They are of two types, The prepaid tuition plan and the education saving plan. The prepaid tuition plan is used to pay for future tuition fee at present rates while the education saving plan are used to pay for qualified education expenses
Answer:
529 plan
Step-by-step explanation:
A 529 college savings plan works much like a Roth 401(k) or Roth IRAby investing your after-tax contributions in mutual funds, ETFs and other similar investments. Your investment grows on a tax-deferred basis and can be withdrawn tax-free if the money is used to pay for qualified higher education expenses.
The cross-sectional areas of a right triangular prism and a right cylinder are congruent. The right triangular prism has a height of 2 units, and the right cylinder has a height of 6 units. Which conclusion can be made from the given information?
A.) The volume of the triangular prism is half the volume of the cylinder. B.)The volume of the triangular prism is not equal to the volume of the cylinder.
C.)The volume of the triangular prism is twice the volume of the cylinder.
D.) The volume of the triangular prism is equal to the volume of the cylinder.
Answer:
B.)The volume of the triangular prism is not equal to the volume of the cylinder.
Step-by-step explanation:
Let A be the cross-sectional area of both congruent right triangular prism and right cylinder.
Since the prism has height 2 units, its volume V₁ = 2A.
Since the cylinder has height 6 units, its volume is V₂ = 6A
Dividing V₁/V₂ = 2A/6A =1/3
V₁ = V₂/3.
The volume of the prism is one-third the volume of the cylinder.
So, since the volume of the prism is neither double nor half of the volume of the cylinder nor is it equal to the volume of the cylinder, B is the correct answer.
So, the volume of the triangular prism is not equal to the volume of the cylinder.
Which statement correctly relates the standard deviation of the two data sets below? Data set 1 Data set 2 1 2 2 2 3 3 3 3 6 4 4 Answer choices: A.) The standard deviation of Data Set 1 is less than the standard deviation of Data Set 2. B.) The standard deviation of Data Set 1 is equal to the standard deviation of Data Set 2. C.) The standard deviation of Data Set 1 is about twice the standard deviation of Data Set 2.
Answer:
C.) The standard deviation of Data Set 1 is about twice the standard deviation of Data Set 2.
Step-by-step explanation:
Data Set 1: 1,2,3,3,6Data Set 2: 2,2,3,3,4,4Data Set 1
[tex]\mu =\dfrac{1+2+3+3+6}{5}= \dfrac{15}{5}=3[/tex]
[tex]S$tandard Deviation, \sigma =\sqrt{\dfrac{\sum (x-\mu)^2}{N}}[/tex]
[tex]\sigma =\sqrt{\dfrac{(1-3)^2+(2-3)^2+(3-3)^2+(3-3)^2+(6-3)^2}{5}}\\=\sqrt{\dfrac{4+1+0+0+9}{5}}\\=\sqrt{\dfrac{14}{5}}\\\\=1.67[/tex]
Data Set 2
[tex]\mu =\dfrac{2+2+3+3+4+4}{6}= \dfrac{18}{6}=3[/tex]
[tex]\sigma =\sqrt{\dfrac{(2-3)^2+(2-3)^2+(3-3)^2+(3-3)^2+(4-3)^2+(4-3)^2}{6}}\\=\sqrt{\dfrac{1+1+0+0+1+1}{6}}\\=\sqrt{\dfrac{4}{5}}\\\\=0.89[/tex]
0.89 X 2=1.78 which is close to 1.67
Therefore, the standard deviation of Data Set 1 is about twice the standard deviation of Data Set 2.
Please help me solve number 14 and 15
Answer:
Step-by-step explanation:
Similarity property,
" If the two triangles are similar then their corresponding sides will be proportional."
14). If ΔPQR ~ ΔUVW,
[tex]\frac{PQ}{UV}=\frac{QR}{VW}=\frac{PR}{UW}[/tex] [Statement}
[tex]\frac{15}{10}=\frac{9}{6}=\frac{6}{4}[/tex]
[tex]\frac{3}{2}=\frac{3}{2}=\frac{3}{2}[/tex] [True}
Therefore, ΔPQR ~ ΔUVW [Theorem - SSS]
15). If ΔFHE ~ ΔDHG,
[tex]\frac{EH}{HG}=\frac{HF}{DH}[/tex] [Statement]
[tex]\frac{24}{6}=\frac{36}{9}[/tex]
4 = 4
Therefore, ΔFHE ~ ΔDHG [Theorem - AA]
Shia received a large package in the mail. What is a reasonable weight for the large package? A 20 grams B 36 pounds C 52 ML D 68 inches
Answer:
36 pounds
Step-by-step explanation:
Its a "large" package. So it's going to be heavy
I need help with this problem
Answer: A. 94
Step-by-step explanation:
The formula for surface area is A=2(wl+hl+hw).Wwe are given our values of width, length and height, so we can plug them in.
w=3
l=4
h=5
A=2((3*4)+(5*4)+(5*3))
A=2(12+20+15)
A=2(47)
A=94
if a is not equal to b and 1/x+ 1/a= 1/b then x=
Answer:
ab / (a-b) =x
Step-by-step explanation:
1/x+ 1/a= 1/b
Multiply by axb to get rid of fractions
axb(1/x+ 1/a)= 1/b* axb
ab + bx = ax
Subtract bx from each side
ab+bx -bx = ax-bx
ab = ax-bx
Factor out x
ab = x(a-b)
Divide each side by (a-b)
ab / (a-b) = x (a-b)/(a-b)
ab / (a-b) =x
I'll give BRAINLIEST!!
Answer:3
Step-by-step explanation:
The domain is the input (x) value look for 4 in the domain area and find the value in the range are that the arrow is pointing at.
The answer is 3
Which list correctly orders A, B, and C from least to greatest when A = –8, B = StartAbsoluteValue negative 6 EndAbsoluteValue, and C = StartAbsoluteValue 11 EndAbsoluteValue? A, B, C C, A, B B, A, C C, B, A
Answer:
A, B, C
Step-by-step explanation:
A = -8
B = |-6| = 6
C = |11| = 11
Least to greatest, negatives are the least and between 6 and 11, 11 is the greatest.
Answer:
B,C,A
Step-by-step explanation:
Please answer this . This is my lash question
Answer:
Step-by-step explanation:
(m-7)(m-7)=0
m=7
work out the area of the semicircle with a radius of 18cm, take π to be 3.142 and write down all the digits given by the calculator
Answer ?.???? ?.???. ?????
Area of the semicircle = 509.004 cm²
What is semicircle?When an arc of a circle with its endpoints on the diameter cuts a circle into two equal halves, those halves are called semicircles.
Given,
radius of semicircle = 18cm
π = 3.142
Area of the semicircle = πr²/2
= 3.142 × 18×18/2
= 3.142 × 18×9
= 56.556×9
= 509.004 cm²
Hence, 509.004 cm² is the area of the semicircle.
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Which equation represents a line that passes through (2, –left-parenthesis 2, negative StartFraction one-half EndFraction right-parenthesis.) and has a slope of 3?
Answer:
I'm not sure what your choices are or if you have any choices. Try y+ 1/2 = 3(x-2)
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
on edg2021
Which property of equality was used to solve this equation? x − 5 = -14 x − 5 + 5 = -14 + 5 x = -9 A.) addition property of equality B.) subtraction property of equality C.) multiplication property of equality D.) division property of equality
To solve the given equation, we will use the addition property of equality.
What is the addition property of equality?The addition property of equality states that when the same quantity is added to both sides of an equation, it produces an equivalent equation.
For numbers a, b, and c, if a = b then a + c = b + c.
Given is an equation, x - 5 = -14,
We are asked to identify, that, which property of equality was used to solve this equation,
Solving the equation,
x - 5 = -14
Add 5 to both sides,
x-5+5 = -14+5
x = -9
Since, we used addition, therefore, this property is addition property of equality.
Hence, to solve the given equation, we will use the addition property of equality.
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PLEASE HELP WILL GIVE BRAINLIEST IF CORRECT
To support a shelf, the diameter of a bolt can measure anywhere from 0.2 cm less than 1.5 cm to 0.2 cm greater than 1.5 cm. Which graph represents the possible measures of the diameter of the bolt?
Answer:
Option (1)
Step-by-step explanation:
Diameter of a bolt can measure anywhere from 0.2 cm less than 1.5 to 0.2 cm greater than 1.5 cm.
Let the diameter of the bolt = x cm
Then the value of x will be,
(1.5 - 0.2) cm < x < (1.5 + 0.2) cm
When we plot the possible measures of the diameter of the bolt on a number line,
Measures of x will be between 1.3 cm to 1.7 cm
Option (1) will be the answer.
Answer:
A
Step-by-step explanation:
Its pretty self explainatory, it tells you that the line has to be anywhere from 0.2 cm less than 1.5 cm to 0.2 cm greater than 1.5 cm, so if you look at the graphs A is the only one that maches with what the question in asking.
Using the frequency table below, what is the probability of people that are not boys? 10% 20% 30% 50%
Answer:
50%
Step-by-step explanation:
Out of the 200 total people, 100 of them are not boys (the only people on this table who are not boys are girls) so the probability is 100 / 200 = 1 / 2 = 50%.
A line has a slope of Negative one-fourth and passes through point (Negative five-fourths, 1). What is the equation of the line? y = negative one-fourth x + StartFraction 21 Over 16 EndFraction y = negative one-fourth x + StartFraction 11 Over 16 EndFraction y = negative one-fourth x minus one-fourth y = negative one-fourth x minus five-fourths
Answer:
Your answer is the second option: y= -1/4x + 11/16
Good luck on the test btw I hope u get 100% !!
Answer:
B) y= -1/4x + 11/16
Step-by-step explanation:
I just took the quiz on edge
Cual es el 5% de 6000
Answer:
Explanation:
I hope you understand this
Please help me in this question.Tell me if it is good. And if it is not good then do it for me please.
Answer:
Y = 170, Z = 64.
Step-by-step explanation:
Since y is the external angle to x, which you got right, it is in fact, 180-10, = 170 degrees. And since z is the external to our unknown angle, that means it is equal to the sum of the other two angles in the triangle. That means z is 54 + 10, which is 64.
Leon has already run 1 mile on his own, and he expects to run 3 miles during each track practice. Write an equation that shows the relationship between the practices p and the distance d.
Answer:
d = 1 + 3p
Step-by-step explanation:
Leon already ran 1 miles on his own and he is expected to cover a distance d of 3 miles during each practice. The number of practices is expressed as p and the distance covered is expressed as d.
For every track practice he is expected to cover a distance of 3 miles. Recall he has already cover 1 mile on his own.
Therefore, the relationship between the practices p and the distance d can be expressed as follows.
number of track practice = p
distance covered = d
The distance covered d in miles is 1 miles plus the number of track practice p multiply by 3
d = 1 + 3p
22 points !!! multiply. express your answer as a fraction simplest form. 8.33 x 144
Answer:
100
Step-by-step explanation:
Let's convert both numbers into fraction form.
let x=8.33 bar
x=8.33 bar
10x=83.33 bar
9x=75
x=25/3
[tex]\sqrt{144}=12[/tex]
[tex]\frac{25}{3}*\frac{12}{1}=25*4=100[/tex]
The value of 8.33 x ✓144, when expressed as a fraction in its lowest term will be 100.
Since the expression given is 8.33 x ✓144 l, we have to convert them to fraction firstly and this will be:
= 25/3 × √144
= 25/3 × 12/1
= 25 × 4
= 100
Therefore, the value is 100.
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Hazel buys a dress that costs $50.00. She pays 5% sales tax. How much does she pay for the dress with tax?
Answer:
$52.5
Step-by-step explanation:
Costing Price = $50
Tax = 5% of $50
=> [tex]\frac{5}{100} * 50[/tex]
=> 0.5*5
=> $2.5 Tax
Total Cost = CP + Tax
=> $50 + $2.5
=> $52.5
Answer:
52.50
Step-by-step explanation:
i just did the test
How do I add 15% to $425?
Answer:
$444.25
Step-by-step explanation:
15 / 100 * 425 = 15 + 4.25 = $19.25
So $425 + $19.25 = $444.25
Answer:
$444.25
Step-by-step explanation:
Jill earned $40 from a carpool plus $9 per hour (h) babysitting this week. Which of the following expressions best represents Jill's income for the week?
9 + 40h
9 + h + 40
9h + 40
9 + 40
Answer:
9h+40
Step-by-step explanation:
Jill is Guaranteed exactly 40$ so that stays the same. She will also earn 9$ every hour. This can be represented as 9 x number of hours or simply 9h.
So altogether, her original 40$ and her 9$ from every hour can be written together as 40 + 9h or 9h + 40.
(ps. this is my first answer, I apologise if Its not very detailed.)
The expressions best represent Jill's income for the week is 9h+40. The correct option is C.
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.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
It is given that Jill earned $40 from a carpool plus $9 per hour (h) babysitting this week. The expression will be written as below:-
Jill is Guaranteed exactly 40$ so that stays the same. She will also earn 9$ every hour. This can be represented as 9 x the number of hours or simply 9h.
Her original 40$ and her 9$ from every hour can be written together as below:-
40 + 9h or 9h + 40.
Therefore, the expressions best represent Jill's income for the week is 9h+40. The correct option is C.
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pls answer. i will mark as branliest
Answer:
The supplement to 101° is 79° (since 180 - 101 = 79) so that means, using the exterior angle formula, we can write:
x = 38 + 79 which simplifies to x = 117°.
Answer:
117 degrees
Step-by-step explanation:
38* is one inside angle
to find the other you got to find the rest if you do 180-101 you get 79.
all interior angles of a triangle add up to 180 aswell so 38+79=180 so subtract 180 from those 2 added up and you get 63* now that is the right bottom angle but don't forget a line is 180* so now we do 180-65 and you get 117
OK sorry i had it wrong apparently i cant read
Terry has a credit card that uses the average daily balance method. For the first 18 days of one of his billing cycles, his balance was $350
Complete question:
Terry has a credit card that uses the average daily balance method. For the first 18 days of one of his billing cycles, his balance was $350, and for the last 12 days of the billing cycle, his balance was $520. If his credit card's APR is 14%, which of these expressions could be used to calculate the amount Terry was charged in interest for the billing cycle?
(0.14/365 31)(18 $350 + 12 $520 / 31)
(0.14/365 30)(18 $350 + 12 $520 / 30)
(0.14/365 30)(12 $350 + 18 $520 / 30)
(0.14/365 31)(12 $350 + 18 $520 / 31)
Answer:
(0.14/365 30)(18 $350 + 12 $520 / 30)
Step-by-step explanation:
Number of days in a year = 365
Number of days in billing cycle = (18 + 12) = 30
Interest rate per year = 14% = 0.14
Amount charged monthly :
(Monthly rate × average daily balance)
MONTHLY RATE:
(Annual interest / number of days in year) * days in billing cycle
(0.14 / 365) × 30
Average daily balance :
First 18 days ; balance = $350
Last 12 days ; balance = $520
Sum of balance / days in billing cycle
[(18 × $350) + (12 × 520)] / 30
THEREFORE, MONTHLY INTEREST CHARGE :
((0.14 / 365) × 30) ((18 × $350) + (12 × 520) / 30)