Answer:
A. Y = 144/x
Step-by-step explanation:
Inversely means y = 1/x
If y = 48, when x = 3
so 144/3 = 48
Therefore the answer is A
If the value of y varies inversely with x then the function Y= 144/x represents the relationship between x and y if y = 48 when x = 3
What is a function?A relation is a function if it has only One y-value for each x-value.
If y varies inversely with x, it means that y is inversely proportional to x, or y=k/x, where k is a constant of proportionality.
To find k, we can use the given values of y and x:
y = k/x
48 = k/3
k = 144
Now that we know k, we can write the function that represents the relationship between x and y:
y = 144/x
Therefore, if the value of y varies inversely with x then the function Y= 144/x represents the relationship between x and y if y = 48 when x = 3
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Matteo has &400 in his saving account. On average he spends $10 per week on buying apps. Luca has $200 in his savings account. He is saving $15 a week in order to buy a new Playstation. When will matteo and luca have the same amount of money?
Answer: By the 8th week.
Step-by-step explanation:
Let the time that matteo and luca have the same amount of money be represented by x.
The information given in the question can be formed into an equation as:
400 - 10x = 200 + 15x
Collect like terms
400 - 200 = 15x + 10x
200 = 25x
x = 200/25
x = 8
Matteo and Luca will have the same amount of money by the 8th week.
Find the explicit formula for a 1 =-4,a n =a n-1 +9,n>=2
Given:
[tex]a_1=-4[/tex] and [tex]a_n=a_{n-1}+9[/tex] where [tex]n\geq 2[/tex].
To find:
The explicit formula for the given recursive formula.
Solution:
We know that recursive formula of an AP is:
[tex]a_n=a_{n-1}+d[/tex]
Where, d is the common difference.
We have,
[tex]a_n=a_{n-1}+9[/tex]
Here, d=9.
The first term of the AP is [tex]a_1=-4[/tex].
The explicit formula for an AP is:
[tex]a_n=a_1+(n-1)d[/tex]
Substituting [tex]a_1=-4[/tex] and [tex]d=9[/tex], we get
[tex]a_n=-4+(n-1)9[/tex]
[tex]a_n=-4+9n-9[/tex]
[tex]a_n=-13+9n[/tex]
Therefore, the required explicit formula for the given sequence is [tex]a_n=-13+9n[/tex].
A meteorologist reports that the chance of snow is less than 30%. The correct inequality to represent this comparison is s < 30. The variable s represents the likelihood of snow. Which numbers are solutions of the inequality? Choose all that apply. 20% 35% 17% 30% 29 and one-half percent% 1.5%
Answer: 20%, 17%, 29%, 1.5%
Step-by-step explanation:
Given
The likelihood of rain is given by the inequality
[tex]s<30[/tex] i.e. solution to this inequality is less than 30%
So, among the given values, the following are the solution
20%, 17%, 29%, 1.5%
These values are less than 30%; therefore, they are the solution
Answer:
20%, 17%, 29 1/2%, and 1.5%.
Step-by-step explanation:
good luck on your other work
Ginny paid $4.16 for a sandwich. She paid$0.95 for a piece of fruit. What is the total amount Ginny paid for the sandwich and fruit?
Answer:
$5.11
Step-by-step explanation:
4.16 + 0.95 = 5.11
I need the answer very fast plz hurry
Answer:
2x=110 degree
2y=70 degree
Please answer the following:
Answer:
Conner's work is correct
Jana's work is incorrect
Step-by-step explanation:
Explanation: While Multiplying, exponents of the same bases gets added and not multiplied.
Here, CONNOR HAS ADDED THE EXPONENTS WHEREAS JANA HAS MULTIPLIED THE EXPONENTS.
Mason is laying tiles on his entryway. The tiles are each 2/9 feet long, and the entryway is 7 1/2 feet long. How many tiles will Mason need to buy in order to cover the length of the entryway? Explain.
Answer:
1 2/3
Step-by-step explanation:
7 1/2x2/9
The required number of tiles will be 34 covering the length of the entryway.
What is the Multiplication operation?In mathematics, Multiplication operations perform Multiplying values on either side of the operator.
For example 4×2 = 8
We have been given that the tiles are each 2/9 feet long, and the entryway is 7 1/2 feet long.
We have to determine the number of tiles will he need to buy in order to cover the length of the entryway.
According to the given question, the required solution would be as:
So the number of tiles covering the length of the entryway will be
⇒ 7 1/2 ÷ (2/9)
⇒ 15/2 ÷ (2/9)
⇒ 15/2 / (2/9)
Reciprocal the term in the denominator
⇒ (15/2) x (9/2)
Apply the multiplication operation,
⇒ 135/4
Apply the division operation,
⇒ 34
Thus, the required number of tiles will be 34 covering the length of the entryway.
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Find the 8th term of the geometric sequence 6, 18, 54, ...
Answer:
13122
Step-by-step explanation:
6 x 3 = 18; 18 x 3 = 54; continue to do this 8 times and you get 13122!
Answer:
a(8) = 6*3^7 = 13122
Step-by-step explanation:
Each new term is equal to the previous one times the common ratio, r, which in this case is 3.
The general formula for a geometric sequence is a(n) = a(1)*r^(n - 1).
In this particular case, we have a(n) = 6*(3)^(n -1).
The 8th term of this sequence is a(8) = 6(3)^(8 - 1), which works out to:
a(8) = 6*3^7 = 13122
An engineer is planning a new water pipe installation. The circular pipe has a diameter of d=20\text{ cm}d=20 cmd, equals, 20, start text, space, c, m, end text. What is the area AAA of the circular cross section of this pipe?
Answer:
314.2 cm²
Step-by-step explanation:
The area of the circular cross section of the pipe is given by A = πd²/4 where d = diameter of pipe = 20 cm
So, A = πd²/4
substituting the value of d into the equation, we have
A = π(20 cm)²/4
A = π400 cm²/4
A = 100π cm²
A = 314.16 cm²
A ≅ 314.2 cm²
Answer:
100pi
Step-by-step explanation:
a number is the square root of 16 and also the square root of 2. what is the number?
Answer:
there is nothing like that
Step-by-step explanation:
there is no squre root of2
Write the equation of a line in slope-intercept form with a slope of 10 and passes through (–4, – 25).
Answer:
y = 10x + 15
Step-by-step explanation:
y +25 = 10(x+4)
y = 10x + 40 - 25
y = 10x + 15
what is the coefficient of 7x+13
Answer:
7
Step-by-step explanation:
This is because any number combind with a variable will be considered a coefficient, for example in the equation 4x-13, 4 is the coefficient.
I need help please and thank you ( umm 10 points i think ). thank u
Answer:
D
Step-by-step explanation:
since it tells you y is=1 plug that into the top equation
-1=5x+4
-1=x
and you already have y=-1
so its(-1,-1)
this is simple
since y = -1
y = 5x + 4
-1 = 5x + 4
5x = -5
x = -1
therefore answer is (-1, -1)
Solve the equation. Select all that apply.
Answer:
ll
Step-by-step explanation:
square root of 121 is 11 since 11x11=121
Categorize each example based on whether it shows citizens exercising their rights or fulfilling their responsibilities.
Joseph and his family observe
Lent and go to church every
Sunday.
Kit organized a march to
peacefully protest against
deforestation.
Amy held a fundraiser to
money for her area’s
Help a Child charity.
Answer:
I took the test and got it right
Rights are
Joseph and his family observe Lent and go to church every Sunday. Kit organizes a march to peacefully protest against deforestation.
Responsibilities is
Amy held a fundraiser to money for her area's Help a Child charity.
Would someone mind explaining the Point-Slope form to me? My virtual teacher kind of brushed over it and I am a little confused as to how I should copy it down in my notes so I understand.
Answer:
This picture kind of sums it up
Step-by-step explanation:
identify each group of segments that can form a right triangle (double check for me please)
Answer:
Looks good except D should also be clicked.
Step-by-step explanation: 6 squared is 36 and 8 squared is 64. 36+64=100 and 10 squared is 100.
In this figure, ST is a line.
What is the value of x?
BTW that says 2/3x
Answer:
x=108 degrees
Step-by-step explanation:
Since ST is a straight line, it measures 180 degrees. This means that x+(2/3)x=180. The simplified version is 5x/3=180. Now, we multiply both sides by 3. The equation becomes 5x=540; which is ultimately x=108.
Answer: x=108 degrees
Step-by-step explanation:
Since ST is a straight line, it measures 180 degrees.
This means that:
x+(2/3)x=180
The simplified version is 5x/3=180. Now, we multiply both sides by 3. The equation becomes 5x=540; which is ultimately x=108.
what is 15 less than or equal to -5x
Answer:
less than tell me if i'm wrong
PLS HELP ILL MARK BRAINLIEST THANK U
Answer:
9,11,16. 4,6,7. 6,8,12
Right. Acute. obtuse
Step-by-step explanation:
obtuse 9,11,16
acute 4,6,7
obtuse 6,8,12
what's the surface area ratio & the volume ratio??
please help me ASAP!!
Answer:
Step-by-step explanation:
Volumes of two spheres A and B = 648 cm³ and 1029 cm³
Things to remember:
1). Scale factor of two objects = [tex]\frac{r_1}{r_2}[/tex] [[tex]r_1[/tex] and [tex]r_2[/tex] are the radii of two circles]
2). Area scale factor = [tex]\frac{(r_1)^2}{(r_2)^2}[/tex]
3). Volume scale factor = [tex]\frac{(r_1)^3}{(r_2)^3}[/tex]
Volume scale factor Or Volume ratio = [tex]\frac{V_A}{V_B}[/tex]
[tex]\frac{(r_1)^3}{(r_2)^3}= \frac{648}{1029}[/tex]
[tex]\frac{r_1}{r_2}=\sqrt[3]{\frac{648}{1029} }[/tex]
[tex]\frac{r_1}{r_2}=\frac{6(\sqrt[3]{3})}{7(\sqrt[3]{3})}[/tex]
[tex]\frac{r_1}{r_2}=\frac{6}{7}[/tex]
Therefore, scale factor = [tex]\frac{r_1}{r_2}=\frac{6}{7}[/tex]
≈ 6 : 7
Area scale factor Or area ratio = [tex](\frac{r_1}{r_2})^2=(\frac{6}{7})^2[/tex]
= [tex]\frac{36}{49}[/tex]
≈ 36 : 49
Volume scale factor or Volume ratio = [tex]\frac{648}{1029}[/tex]
= [tex]\frac{216}{343}[/tex]
≈ 216 : 343
What is the length of line AD?
1
Step-by-step explanation:
i am very beautiful yes i know it
Please I need help with this
Answer:
1680.25
Step-by-step explanation:
To visit his grandmother, Michael takes a motorcycle 3.853.853, point, 85 kilometers and a horse 3.323.323, point, 32 kilometers. In total, the journey takes 50.5450.5450, point, 54 minutes. How many kilometers is Michael's journey in total?
Answer:
7.17 km
Step-by-step explanation:
Given that:
Distance in kilometers traveled by motorcycle = 3.85 km
Distance in kilometers traveled by horse = 3.32 km
Total distance of journey in kilometers /
3.85 km + 3.32 km
= 7.17 kilometers
874 x 12 - 1,000 · 4³ = ? ajutatima pls
Answer:
-53512
Step-by-step explanation:
874 x 12 - 1,000 · 4³ (We do exponents 1st)
874 x 12 - 1000 x 64 (Multiply 874 with 12, and 1000 with 64)
10488 - 64000
-53512
If -3.5 <-3, why is 1-3.5 > 1-31?
Answer:
3rd option
Step-by-step explanation:
The absolute value function always gives a positive value , that is
| - a | = | a | = a
Then
| - 3.5 | = 3.5 and | - 3 | = 3
and 3.5 > 3
That is | - 3.5 | > | - 3 |
The BP station sold gas for $2.49 per gallon. This week their gas prices are $2.61 a gallon. What was the percent increase in gas from last week to this week?
Answer:
.12%
Step-by-step explanation
2.61-2.49= 0.12
.12%
A rectangle's length is three times its breadth x metres. Write an expression
for the rectangle's:
a) perimeter
b) area
Answer:
1. Perimeter = 8x m
2. Area = 3x² m²
Step-by-step explanation:
From the question given above, the following data were obtained:
Breadth (B) = x m
Length (L) = 3B = 3x m
Perimeter (P) =?
Area(A) =?
1. Determination of the perimeter of the rectangle.
Breadth (B) = x m
Length (L) = 3x m
Perimeter (P) =?
P = 2(L + B)
P = 2(3x + x)
P = 2(4x)
P = 8x m
Thus, the perimeter of the rectangle is 8x m
2. Determination of the area of the rectangle.
Breadth (B) = x m
Length (L) = 3x m
Area(A) =?
A = L × B
A = 3x × x
A = 3x² m²
Thus, the area of the rectangle is 3x² m²
PLZ HELP FAST!!!
Ill give brainliest to whoever gives me the correct answer first!
Diagonals AC and BD form right angles at point M in parallelogram ABCD. Prove ABCD is a rhombus.
Parallelogram A B C D is shown. Diagonals are drawn from point A to point C and from point B to point D and intersect at point M. Sides A B and D C are parallel and sides B C and A D are parallel. A square is drawn around point M.
Statements
Reasons
1. ABCD is a parallelogram 1. given
2. ∠AMB, ∠BMC, ∠CMD, and ∠DMA are right angles 2. given
3. ∠AMB ≅ ∠BMC ≅ ∠CMD ≅ ∠DMA 3. right angles are congruent
4. AC bisects BD;
BD bisects AC; 4. diagonals of a parallelogram bisect each other
5. AM ≅ MC, MB ≅ MD 5. definition of a bisector
6. ? 6. SAS congruency theorem
7. AB ≅ BC ≅ CD ≅ DA 7. CPCTC
8. figure ABCD is a rhombus 8. definition of a rhombus
△ABC ≅ △ADC ≅ △BAD ≅ △BCD
△AMB ≅ △CMB ≅ △CMD ≅ △AMD
△ABC ≅ △ADC ≅ △AMD ≅ △BMC
△AMB ≅ △CMD ≅ △BAD ≅ △BCD
Answer:
△AMB ≅ △CMB ≅ △CMD ≅ △AMD
Step-by-step explanation:
edg2020
Answer:
B
Step-by-step explanation:
Circle a is defined as (x+5)^2 + (y+6)^2 + 16, and circle b is defined as (x+3)^2+(y+2)^2 =9. Which transformation of circle a shows that circle b is similar?
Answer:
We should use the following transformation: [tex](x', y') = (x+2, y + 4)[/tex] (Translation of circle A to the center of the circle B)
Step-by-step explanation:
We should apply a translation prior to determine if both circles are similar. If we translate the circle A to the center of the circle B. The translation needed is the vectorial distance between both centers:
[tex]T(x,y) = B(x,y)-A(x,y)[/tex] (1)
Where:
[tex]T(x,y)[/tex] - Translation vector.
[tex]A(x,y)[/tex] - Location of the center of the circle A.
[tex]B(x,y)[/tex] - Location of the center of the circle B.
If we know that [tex]A(x,y) = (-5,-6)[/tex] and [tex]B(x,y) = (-3,-2)[/tex], then the translation vector is:
[tex]T(x,y) = (-3,-2)-(-5,-6)[/tex]
[tex]T(x,y) = (2,4)[/tex]
We should use the following transformation: [tex](x', y') = (x+2, y + 4)[/tex] (Translation of circle A to the center of the circle B)
Answer:
Step-by-step explanation:D
