Answer:
4.30 inches
Step-by-step explanation:
Given data
Volume of basket ball= 334cubic inches
We know that the expression for the volume of a sphere is given as
Volume of sphere= 4/3πr^3
334= 4/3πr^3
334=4/3*3.142*r^3
334=4.189*r^3
r^3= 334/4.189
r^3=79.73
cubic root both sides
r= ∛79.73
r=4.30 inches
What are the AGI and taxable income? Responses $35,468 and $23,068 $35,468 and $23,068 $47,468 and $35,468 $47,468 and $35,468 $47,868 and $12,400 $47,868 and $12,400 $35,468 and $12,400 $35,468 and $12,400 Gross Income $35,468 Adjustments 0 1 Exemption $12,400 Deduction 0
The amount of GI is $35,468.
The amount of taxable income is $23,068.
Option A is the correct answer.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Gross income = $35,468
Exemption = $12,400
Deduction = 0
Adjustment = 0
Taxable income.
= Gross income - Exemption
= 35,468 - 12,400
= $23068
Thus,
GI and taxable income are $35,468 and $23,068
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In the diagram below, \overline{MN}
MN
is parallel to \overline{JK}
JK
. If MNMN is 1212 more than LNLN, LK=33LK=33, and JK=55JK=55, find the length of \overline{LN}
LN
. Figures are not necessarily drawn to scale. State your answer in simplest radical form, if necessary.
The value of the missing length LN of the similar triangles is; LN = 18
How to solve Similar Triangles?Similar triangles are defined as triangles that have the same shape, but their sizes may vary. This means therefore that, if two triangles are similar, then we can say that their corresponding angles are congruent and also their corresponding sides are in equal proportion.
In the given triangle attached, we can say that if we apply the concept of similar triangles, we will get;
LN/LK = MN/JK
We are told that;
MN is 12 more than LN. Thus; MN = 12 + LN
LK = 33
JK = 55
Thus;
LN/33 = (12 + LN)/55
55LN = 33(12 + LN)
55LN = 396 + 33LN
22LN = 396
LN = 396/22
LN = 18
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For automobile safety, the maximum slope that a highway can have is 6%, or 0.06. A surveyor
measures the angle from one edge of the ravine to the other and determines that your bridge
should have a slope of 0.06.
You need to find the length of your bridge if it has a slope of 0.06. This will tell you how much
pavement is needed for the bridge deck
4. Use the definition of slope to calculate the exact rise of the bridge, y (3 points: 2 points for
work, 1 point for the solution)
5. How long is the deck of the bridge? Show how you calculated r. (3 points: 2 points for work, 1
point for the solution)
Answer:
The change in y-axis with respect to change in x-axis is described as slope.
the slope is 0.06, rewrite it as a fraction
the base of the bridge is 50 and height of the bridge is 3, find the hypotenuse using the Pythagorean theorem to get the length of the bridge.
[tex] Length =\sqrt{3^{2}+50^{2}} =\sqrt{9+2500}} =\sqrt{2509}}
Length of the bridge is 50.08
Triangle abc is to triangle efg because a vertical translation of units and a horizontal translation of units maps triangle abc onto triangle efg
Triangle ABC is translated to triangle EFG because a vertical translation of 10 units and a horizontal translation of 5 units maps triangle ABC onto triangle EFG.
What is translation?It is the movement of the shape in the left, right, up, and down directions.
The translated shape will have the same shape and shape.
There is a positive value when translated to the right and up.
There is a negative value when translated to the left and down.
We have,
Triangle ABC.
A = (-9, -2)
B = (-9, -7)
C = (-7, -7)
Triangle EFG.
E = (-4, 8)
F = (-4, 3)
G = (-2, 3)
Now,
With a vertical translation of 10 units up on triangle ABC and 5 units right of the horizontal translation will give us triangle EFG.
i.e,
(-9, -2) = (-9 + 5, - 2 + 10) = (-4, 8)
(-9, -7) = (-9 + 5, -7 + 10) = (-4, 3)
(-7, -7) = (-7 + 5, -7 + 10) = (-2, 3)
Thus,
Vertical translation of 10 units up and horizontal translation of 5 units right.
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Answer:
1: Congruent
2: 10
3: 5
Step-by-step explanation:
FIRST TO ANSWER GETS BRAINLIEST!! Melanie’s bank account balance is . She needs to pay $55 to her cell phone carrier and $80 to the landscaper. She also expects $250 from her sister to be added to her account.
(a) Write an expression Melanie can use to determine her bank account balance after paying these bills and receiving money from her sister.
(b) What is Melanie’s bank account balance after paying her bills and receiving money? Show any necessary work. Answer in a complete sentence.
Answer:
a 97- (55+80) +250
b Melanie has $212 left in her bank account.
Step-by-step explanation:
55 + 80 = 135
97 - 135 = -38
-38 +250 = 212
Consider the function g(x) = (x-e)^3e^-(x-e). Find all critical points and points of inflection (x, g(x)) of the function g.
Answer:
The answer is "[tex]cirtical\ points \ (x,g(x))\equiv (e,0),(e+3,\frac{27}{e^3})[/tex]"
Step-by-step explanation:
Given:
[tex]g(x) = (x-e)^3e^{-(x-e)}[/tex]
Find critical points:
[tex]g(x) = (x-e)^3e^{(e-x)}[/tex]
differentiate the value with respect of x:
[tex]\to g'(x)= (x-e)^3 \frac{d}{dx}e^{e-r} +e^{e-r} \frac{d}{dx}(x-e)^3=(x-e)^2 e^{(e-x)} [-x+e+3][/tex]
critical points [tex]g'(x)=0[/tex]
[tex]\to (x-e)^2 e^{(e-x)} [e+3-x]=0\\\\\to e^{(e-x)}\neq 0 \\\\\to (x-e)^2=0\\\\ \to [e+3-x]=0\\\\\to x=e\\\\\to x=e+3\\\\\to x= e,e+3[/tex]
So,
The critical points of [tex](x,g(x))\equiv (e,0),(e+3,\frac{27}{e^3})[/tex]
Find the measure of angle B. Round your answer to the nearest whole number.
Answer: 37 degrees.
You use tan x to find the angle measure. So tan x = 9/12. When you plug it into a calculator, you get 36.86989765 so it rounds to 37.
Hope it helps.
write as complete square root 3√5
What is another name for the height of a pyramid?
A. Length
B. Width
C. Altitude
O D. Lateral face
SUBMIT
Answer:
Altitude
Step-by-step explanation:
Find another name for the height of a prism or a pyramid.
Since we know that the height of a prism or pyramid is the perpendicular distance between the two ends of a prism or pyramid.
We can find the height of the pyramid by dropping an altitude from the top of the pyramid to the base of the pyramid.
Note to moderators:
Please don't delete this answer because I'm just trying to help others.
The height of the pyramid is also called the altitude of the pyramid. Since both of these terms represent the same thing, we can use the two terms interchangeably. The correct option is C.
What is pyramid?A pyramid geometry is defined as a three dimensional object with a polygon as its base and the triangles forms the lateral faces which meet at a point above the base called the apex. The pyramids have different parts and some of these parts have more than one name.
The height of the pyramid indicate the perpendicular distance from the base of the pyramid to the apex of the pyramid. This line segment which is perpendicular to the base and runs from the base to the apex is defined as the altitude of the pyramid.
Based on the shape of the base, the pyramids are of many types like triangular pyramid, square pyramid, etc.
Thus the correct option is C.
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Parker could pay 45% of his college tuition with his scholarship. The remaining $10,500 he paid for a with a student loan. What was the cost of Parker's tuition? Show your work.
Answer:
5,775 for the cost of parking tuition
Step-by-step explanation:
45% = 0.45
0.45(10,500)= 4,725
10,500 - 4,725 = 5,775 for the cost of parking tuition
A billiard ball starts 86\,\text{cm}86cm86, start text, c, m, end text from the corner pocket, as shown. The ball rolls 120\,\text{cm}120cm120, start text, c, m, end text in another direction, hits a rail, and rolls another 100\, \text{cm}100cm100, start text, c, m, end text into the pocket. What is the angle between the paths before and after the ball hits the rail? Do not round during your calculations. Round your final answer to the nearest degree.
Answer:
45 Degrees
Step-by-step explanation:
Khan Academy
May someone please help me with this :) I have to show my awnser :)
X = 38°
Step-by-step explanation:
The sum of the inner angles of a triangle is 180 degrees
Then.. :
136+ x= 180
180- 136= x
X= 44
88 + 44 + x = 180
142+ x = 180
X= 180-142
X = 38°
Espero haberte ayudado.
PLEASE HELP I AM BEGGIN YOU EXTRA POINTS AND BRAINLIEST PLEASE !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
I dont know
Step-by-step explanation:
Answer:
9000 interest
Step-by-step explanation:
that is answer
Find the midpoint of A and B has coordinates (2,9) and B has coordinates (7,4)
Answer:
The midpoint is,
(4.5, 6.5)
Step-by-step explanation:
Here, we want to find the midpoint between the two points
mathematically, we use the midpoint formula here
We have this as;
m = (x2+ x1)/2, (y2+ty1)/2
where (x1,y1) = (2,9)
(x2,y2) = (7,4)
substituting these points, we have
m = (2+ 7)/2, (9 + 4)/2 = 9/2,13/2 = (4.5, 6.5)
The drama club members want to buy 862 bags of popcorn to serve during the intermission of their play. If popcorn comes in cases of 24 bags, what is the minimum number of cases that they need?
Answer:36
Step-by-step explanation:
Find the general solution of the given system. dx/dt = 4x+ 5y dy/dt = 10x + 9y
(x(t), y(t)) =
x(t) = [tex]c_1e^1^4^t+c_2e^-^t[/tex] , y(t) = [tex]2c_1e^1^4^t-c_2e^-^t[/tex] is the general solution of the sytem of differention eqution dx/dt = 4x+ 5y , dy/dt = 10x + 9y .
given dx/dt = 4x+ 5y and dy/dt = 10x + 9y
X'(t) = [tex]\left[\begin{array}{ccc}4&5\\10&9\end{array}\right][/tex] X
where X = [tex]\left[\begin{array}{ccc}x\\y\\\end{array}\right][/tex]
so A = [tex]\left[\begin{array}{ccc}4&5\\10&9\end{array}\right][/tex]
now we need to find eigen value of the matrix and the corresponding eigen vector.
| A- λI | = 0
so after equation the value to zero
λ = 14 and λ = -1
now for the λ = 14 corresponding eigen vector = [tex]\left[\begin{array}{ccc}1\\2\\\end{array}\right][/tex]
for λ = -1 corresponding eigen vector = [tex]\left[\begin{array}{ccc}1\\-1\\\end{array}\right][/tex]
So general equation is given by:
X(t) = [tex]c_1e^1^4^t[/tex] [tex]\left[\begin{array}{ccc}1\\2\\\end{array}\right][/tex] + [tex]c_2e^-^t[/tex] [tex]\left[\begin{array}{ccc}1\\-1\\\end{array}\right][/tex]
after solving this
x(t) = [tex]c_1e^1^4^t+c_2e^-^t[/tex]
y(t) = [tex]2c_1e^1^4^t-c_2e^-^t[/tex]
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For how many positive integers n does 1/n yield a terminating decimal with a non-zero hundredths digit?
The number which has a finite number of digits after the decimal point is a terminating decimal.
The decimal is said to be terminating decimal if that has a finite number of digits after the decimal point. Decimal numbers are used to represent the partial amount of whole just like fractions. The number which has a finite number of digits after the decimal point is referred to as a terminating decimal. A number has a terminating decimal expansion if the digits after the decimal point terminate or are finite. The fraction 5/10 has the decimal expansion of 0.5 which is a terminating decimal expansion because digits after the decimal point end after one digit. Terminating decimal has finite digits and non-terminating decimals do not have finite digits. A number with a terminating decimal is always a rational number.
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2 Dylan needs 2.5 liters of water for an experiment. He has 1.125 liters.
How much more water does Dylan need?
Show your work.
Dylan needs how many
liters of water.
So Dylan needs 1.375 liters of water more for his experiment.
Define percentage.A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.
Define Fraction.Any number of equal parts is represented by a fraction, which also represents a portion of a whole. A fraction, such as one-half, eight-fifths, or three-quarters, indicates how many components of a particular size there are when stated in ordinary English.
To find out how much more water Dylan needs, we can subtract the amount of water he currently has from the amount of water he needs for the experiment.
2.5 - 1.125 = 1.375 liters
So Dylan needs 1.375 liters of water more.
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PLEASE ASAP ILL GIVE BRAINLIEST.
Answer:
second option is the answer
Step-by-step explanation:
Fot every action,there is an equal and opposite reaction
enlarge the triangle by scale factor 1.5 using (4,4) as the centre of enlargement
Answer:
Step-by-step explanation:
The coordinates for the enlargement would be (-5,4) (-5,-2) (-2,-2)
To find the distance from the edge of a lake to the tree on the island in the lake, Lisa sets up a
triangular configuration as show in the diagram. The distance from Location A to Location B is 97
meters. The measures of the angles at A and B are 46 and 103 °. What is the distance from the
edge of the lake at B to the tree on the island at C? Round the distance to the nearest tenth of a
meter.
A
B
C
Therefore ,the result is. It means that there exist 17 units between the two points supplied as the answer to the given distance problem.
Specify the distance.An object's travels are quantified by distance. Simply explained, distance, or t, is the amount of space an object covers within a specific period of time. Displacement is still the quickest route a moving object can travel. We frequently take into account the concepts of range and displacement.
Here,
6 and -3 are given (2, -2)
Points (a, b) and (c, d) are now separated by
d= √(c-a)² + ( d- b) ²
d= √(-3+2)² + (2-6)² as a result.
=>d = √ 1 + 16 = √17
The distance between the two places is therefore 17 units.
the result is. It follows there are 17 units between the two points supplied as the answer to the given distance problem.
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40. Four years ago, the age of Gopal was thrice the age of Ram. After 4 years, the age of Gopal would be
the age of Ram. Find their present ages.
gopal:44
ram:112
i think, i hope
Joy is solving a quadratic equation of the form a2+bx+c=0 where b
and care integers.
She correctly solves the equation to get a = 3 ± √/13
Work out the values of b and c.
(3 marks)
b=
=
To find the values of b and c, we can use the quadratic formula:
[tex]x = (-b ± \sqrt{ (b^2 - 4ac)}) / 2a[/tex] which will give us the value B = -6 & C = -4
What is a quadratic equation.A quadratic equation is a second-order polynomial equation in one variable using the formula [tex]x = ax2 + bx + c = 0[/tex] and a 0. The fundamental theorem of algebra ensures that it has at least one solution because it is a second-order polynomial problem. Real or complex solutions are also possible.
So the equation that she get is [tex]x^{2} -6x-4[/tex]
this means that x=3+√13 or 3-√13
which also equals to x=3+√13 & x-3-√13=0 and
x=3-√13
x-3+√13=0
which if you try to find the quadratic equation for this. you need to do it by this
(x-3+√13)(x-3-√13)
which will get you
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the diagram shows 2 mathematically similar vases. vase A has height 20cm and volume 1500^3. vase B has volume 2592cm^3. calculate h, the height of vase b.
The height of vase b is 34.56 cm.
What is volume?In mathematics, volume is the space taken by an object.
V=pi*r²*h
Here, given that,
vase A has height 20cm =H
and volume 1500^3. =V
And, A & B similar vases.
Again, vase B has volume 2592cm^3 =v
let, h, the height of vase b.
both radius are equal
so, we get, V/pi*H = v/pi*h
i.e. 1500/20=2592/h
so, h= 34.56 cm
Hence, the height of vase b is 34.56 cm.
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Henry wrote an ordered pair on an index card. (4, 8) The second number of any ordered pair indicates how far to travel in which direction a grid?
I don't know HOW TO DO THIS
Answer:
sorry, I forget how to do the other ones and I'm just as confused but for 4. AD is 20 and 5. GJ is 17
Step-by-step explanation:
4. side AD is equal to side CD so therefore its 20.
5. side are equal again so make
4x+5 = 2x+11
-5 -5
4x = 2x+6
-2x -2x
2x = 6
/3 /3
x = 3
2(3)+11
6+11
17
A type of fish for your aquarium costs $5 each. You can spend no more than $30. How many of these
fish can you buy? Write an inequality to model the problem. Then solve the inequality to find the
number of fish.
Let f be the number of fish you can buy. Which inequality models the problem?
A. F+ 5 ≤ 30
B. 5f ≤ 30
C. 5f ≥ 30
D. F+5 ≥ 30
Answer:
B.
Step-by-step explanation:
5 * f (The number of fish) has to be less than or equal to $30
Because the bisector of the vertex angle of an isosceles triangles the bisector of the base, m<BDA = m<CDA =
Answer: 90 degrees
Step-by-step explanation:
BD=CD
2(BD)= BC
2
Please help me solve this equation. I need it ASAP! I included the question, and options for answers. Each step needs to have its own rule which I also included a picture of.
Answer:
reciprocal
Step-by-step explanation:
mark me brainliest pls
ASAP
-WILL MARK BRIANIST
Answer:
d
Step-by-step explanation: