6/10 can be simplified but we don't need to worry about it right now. We only need to worry about simplifying 20/100:
20/100 → 10/50 → 5/25 → 1/5
Find common denominators
1/5 → 2/10
6/10
Now, add.
6/10 + 2/10 = 8/10
Therefore, the equation is true.
Best of Luck!
Answer:
6/10+20/100 does not equal 8/10
Step-by-step explanation:
Find the output, k, when the input, t, is 3.
K=13t-2
K=
The value of the variable 'K' at t = 3 will be 37.
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The equation is given below.
K = 13t - 2
The value of the variable K at t = 3 will be given as,
K = 13t - 2
K = 13 x 3 - 2
K = 39 - 2
K = 37
The value of the variable 'K' at t = 3 will be 37.
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Solve the system:
(x - 1)^2 + (y - 3)^2 = 25 x^2 = -2(y – 10)
Answer Choices:
A. (3,0), (3,-4)
B. (0,7), (2,3)
C. (0,10), (2,-9)
D. (2,4), (1,9)
Are the ratios 19:15 and 4:3 equivalent?
yes
no
Answer:
No
Step-by-step explanation:
The ratio 19:15 is equivalent to 19/15
19/15=1.26666
The ratio 4:3 is equivalent to 4/3
4/3=1.33333
1.26666 is not equal to 1.3333, so the ratios are not equivalent
Hope this helps! :)
Answer:
no
Step-by-step explanation:
cross multiply to check
19/15 and 4/3
multiply 19 x 3=57
multiply 4 x 15=60
since 57 and 60 aren't equal to each other then the ratios aren't equivalent
Helppp!!!!laura is playing a card game with her friend.she will draw two cards from those pictured.
A.list the sample space for all possible 2-card combinations Laura could make.
B.find the probability that both cards are even.
Answer:
10
30%
Step-by-step explanation:
In this case it would be the combination of 2 taken from 5.
That is, when n = 5 and r = 2
nCr = n! / r! * (n-r)!
replacing
5C2 = 5! / (2! * 3!)
5C2 = 10
Which means that the sample space is 10 possible combinations.
the probability that the card you draw is even is 3/5, since there are 3 even cards that exist and 5 is the total number of cards.
Now, so that both are for it would be the multiplication of the previous probability and 2/4 because an even card and a card in general have already been drawn:
(3/5) * (2/4) = 0.3
So the probability that both are even is 30%
Express z=−10\sqrt{3} −10i in polar form.
Express your answer in exact terms, using radians, where your angle is between 0 and 2π radians, inclusive.
Answer:
z = [20/sqrt(3][cos(-2π/3) + isin(-2π/3)]
Step-by-step explanation:
Polar form is
r(cos(theta) + isin(theta))
r = sqrt[(-10/sqrt3)² + (10)²]
r = sqrt(400/3)
r = 20/sqrt(3)
tan^-1[10 ÷ (10/sqrt(3))] = π/3
Theta: -π + π/3 = -2π/3
z = [20/sqrt(3][cos(-2π/3) + isin(-2π/3)]
A telemarketer is paid by how many calls they make. For each call they get 80 cents. They get an extra $1 for every sale attached to the call. How much money would a telemarketer make if they made 300 call and got 25 sales from those calls.
Answer:
$265.00
Step-by-step explanation:
300*.80=240
25*1=25
240+25=265.
Answer:
The answer is $265
Step-by-step explanation:
I took this test
The graph of a parabola is represented by the equation
y = ax2 where a is a positive integer. If a is multiplied
by 2, the new parabola will become
Answer:
It will become narrower/steeper
Step-by-step explanation:
To find out how the new parabola will behave, just substitute in numerous values for a and x.
Then compare this to the original graph and you will clearly be able to distinguish the differences between the two graphs.
The equation of the new parabola is y = ( 2a )x² and the parabola will become narrower or steeper
What is a Parabola?
A Parabola, open curve, a conic section produced by the intersection of a right circular cone and a plane parallel to an element of the cone. A parabola is a plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed line
The equation of the parabola is given by
( x - h )² = 4p ( y - k )
where ( h , k ) is the vertex and ( h , k + p ) is the focus
y is the directrix and y = k – p
The equation of the parabola is also given by the equation
y = ax² + bx + c
where a , b , and c are the three coefficients and the parabola is uniquely identified
Given data ,
Let the equation of the first parabola be
y = ax² be equation (1)
The parabola is graphed in green below
Now , a is positive integer when multiplied by 2 , we get
y₁ = ( 2a )x² be equation (2)
The equation (2) represents the equation of the new parabola
The parabola is graphed in red below
So , from the graph , we can see that the parabola has become narrower
Hence , the equation of the parabola is y₁ = ( 2a )x²
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(04.01 LC)
The coordinates of point A on a grid are (−3, −2). Point A is reflected across the y-axis to obtain point B. The coordinates of point B are (___, −2). (1 point)
Answer:
(3,-2)
Step-by-step explanation:
reflection over why axis will make the x coordinate positive.
What number goes on the blank? 2000, 400, 80, 16, _____ . What is the function?: linear, exponential, or neither. Write down the function expression for the sequence. It should be the form "y = ..."
Answer:
2000,400,80,16, = missing answer is 3.2
This is because everything on the linear
declines by dividing y by 5 for x = 3.2 * 5
so for rate of change = 5/3.2 = 1.56
An expression for y = y- 64 = 2 2 8 X - 63. (0,12)
or y = y-5 = - 3x -1
which = 3.2 -5 = -2.8 x 5 = -14
Step-by-step explanation:
10. A basketball court is being painted. Everything
shown below will be painted blue. How any square
feet will be painted blue?
Nick wants to write
thank-you notes to 15 of
his friends. The cards
are sold in packs of 6.
How many does he need
to buy?
Answer:
Nick needs to buy 3 packs.
Step-by-step explanation:
If Nick buys 3 packs he will have 18 cards. If he uses 15 of them he will have 3 left over. If he only bought 2 packs he would be 3 cards short of the amount he really needed.
Answer:
Nick needs to buy 3 packs because if he buys 2 packs he'll have 12 cards which won't be enough. He will have an extra 3 cards remaining.
put these fraction into ascending order: 1/5 4/5 7/10
1/5, 7/10, 4/5 you need to change the denomenator
A triangle has a right angle and an acute angle of 51 degree's and X. What is X? (Number Only)
HELP ITS A TEST
Answer:
39°
sum of triangle's interior angles: 180°
180°-90°-51°=39°
What is the length of the dotted line
Answer:
What dotted line. There is no dotted line on here my friend
Step-by-step explanation:
A scale drawing of a living room is shown below. The scale is 1 : 40.
Answer:
do u need help? where is the image?
Step-by-step explanation:
when typing a question, below is a circle with a plus button, this allows to add an article, picture or a document of your work that you need anything help with. hope this helps!
Five brothers picked 5 pounds of apples. Two of the
brothers will share 3 pounds of apples equally and the
other 3 brothers will share 2 pounds of the apples
equally. In which group does each brother get a greater
amount of the apples?
Use what you know about division and fractions to
explain why your answer is reasonable. worth 29 points will mark you.
Answer:
Step-by-step explanation:
Two brothers get three pounds to share is the answee.
2 brothers will share 3 pounds. Divide 3 pounds by 2 people:
3/2 = 1-1/2 pounds per person.
3 brothers will share 2 pounds. Divide 2 pounds by 3 people:
2/3 = 2/3 pounds per person.
The 2 brothers sharing 3 pounds will have more apples each.
How many permutations can you make from the letters A,B,C,D And E?
Answer:
25
Step-by-step explanation:
5x5
Find side A of a triangle with a B length of 7 and a C length of 25
A) 24
B) 19
C) 8
D) 30
Answer:
A 24
Step-by-step explanation:
Assuming this is a right triangle, we can use the Pythagorean theorem
a^2+ b^2 = c^2
a^2 + 7^2 = 25^2
a^2 +49= 625
Subtract 49 from each side
a^2 +49-49 = 625-29
a^2 = 576
Take the square root of each side
sqrt(a^2) = sqrt(576)
a = 24
Answer:
A
Step-by-step explanation:
C - B < A < C + B
25 - 7 < A < 25 + 7
18 < A < 32
A can have any length between 10 and 32.
In case it's a right angle triangle,
A² = 25² - 7²
A² = 576
A = 24
Determine the explicit formula of the following sequence -3,-18,-108...
Answer:
[tex]a_{n}[/tex] = - 3[tex](6)^{n-1}[/tex]
Step-by-step explanation:
Note the common ratio r between consecutive terms, that is
r = - 18 ÷ - 3 = - 108 ÷ - 18 = 6
This indicates the sequence is geometric with n th term ( explicit formula )
[tex]a_{n}[/tex] = a[tex](r)^{n-1}[/tex]
where a is the first term and r the common ratio
Here a = - 3 and r = 6, thus
[tex]a_{n}[/tex] = - 3[tex](6)^{n-1}[/tex]
Approximate percent increase from 1990 to 2010
The price of cable TV has increased by approximately 252.94% from 1990 to 2010.
The approximate percent increase from 1990 to 2010 can be calculated using the formula:
Percent increase = (Final value - Initial value) / Initial value * 100
To apply this formula, we first need to find the initial and final values. In this case, the initial value is the cost of cable TV in 1990, which is $17.00, and the final value is the cost in 2010, which is $60.00.
Now, let's calculate the percent increase:
Percent increase = ($60.00 - $17.00) / $17.00 * 100
= $43.00 / $17.00 * 100
≈ 252.94%
Therefore, the approximate percent increase from 1990 to 2010 is approximately 252.94%.
How many different ways can 7 people sit in seats labeled A – G? *
1 point
7 ways
5040 ways
14 ways
720 ways
The seats are arranged in 5040 ways, if 7 people sit in seats labeled A, B, C, D, E, F, G.
Step-by-step explanation:
The given is,
7 people sit in seats labeled A, B, C, D, E, F, G.
Step: 1
No.of people = 7
No. of seats labeled = 7
Formula to calculate the number of ways to arrange,
[tex]P_{n} = n![/tex]...................................(1)
Where, n - Positive integer
Step: 2
From given, n = 7
Equation (1) becomes,
[tex]P_{7} = 7![/tex]
= 7 × 6 × 5 × 4 × 3 × 2 × 1
= 5040
= 5040 ways
Result:
The seats are arranged in 5040 ways, if 7 people sit in seats labeled A, B, C, D, E, F, G.
The airline distance from Rome, Italy to Paris, France is 697 miles. The distance from Paris to Berlin,
Germany is 545 miles and the distance from Berlin to Rome is 734 miles. What is the angle formed from
Berlin to Paris to Rome?
Answer:
Angle Rome to Paris = 44.68°
Angle Paris to Berlin = 71.26°
Angle Berlin to Rome = 64.06
Step-by-step explanation:
See attachment for diagram illustration for this.
Let represent distance from Rome to Paris as a, distance from Paris to Berlin as b, and distance from Berlin to Rome as c.
Therefore we say
a = 697miles, b = 545miles, c = 734miles
To find the respectively angle formed from, Berlin to Paris to Rome, we will apply the cosine rule, which states that:
c² = a² + b² - 2abCosC
734² = 697² + 545² - 2(697*545)cosC
2(697*545)cosC = 697² + 545² - 734²
759739 cosC = 244078
cosC = 244078/759739
cosC = 0.3212
C = cos-¹0.3212
C = 71.26°
To get angle B, we will apply the sine rule, which states that:
a/sineA = b/sineB = c/sineC
Therefore we have
545/sineB = 734/sine71.26
= 545/sineB = 734/0.947
= 545/sineB = 734/0.947
= 545/sineB = 775.08
SineB = 545/775.08
B = sine-¹0.7032
B = 44.68°
Angle A = 180 - (B+C) angle in a triangle
A = 180 - (44.68 + 71.26)
A = 180 - 115.94
A = 64.06°
A = 64.06°
B = 44.68°
C = 71.26°
Angle Rome to Paris = 44.68°
Angle Paris to Berlin = 71.26°
Angle Berlin to Rome = 64.06°
Answer:
The Angle formed from Rome to Berlin(R)=44.68 degreesThe Angle formed from Paris to Berlin(P)=71.26 degreesThe Angle formed from Berlin to Paris(B)=64.06 degreesStep-by-step explanation:
The movement of the airplane can be represented using a triangle. In Triangle PRB, we are required to find Angles P, R and B.
Using Law of Cosines
[tex]cos R=\frac{p^2+b^2-r^2}{2pb} \\cos R=\frac{734^2+697^2-545^2}{2*734*697}\\R=arcCos\left(\frac{734^2+697^2-545^2}{2*734*697}\right)\\R=44.68^0[/tex]
Using law of Sines
[tex]\frac{r}{sin R}=\frac{p}{SIn P} \\\frac{545}{sin 44.68}=\frac{734}{Sin P} \\\text{Cross Multiply}\\545 X Sin P=734 X sin 44.68\\Sin P=\frac{734 X sin 44.68}{545} \\P=arcSin\left(\frac{734 X sin 44.68}{545}\right)\\P=71.26^0[/tex]
Now,
P+R+B=180 degrees (Sum of Angles in a Triangle)
[tex]71.26^0+44.68^0+B=180^0\\B=180^0-[71.26^0+44.68^0]\\B=64.06^0[/tex]
The Angle formed from Rome to Berlin(R)=44.68 degreesThe Angle formed from Paris to Berlin(P)=71.26 degreesThe Angle formed from Berlin to Paris(B)=64.06 degreesWrite an expression to represent:
The sum of four and the product of three and a number x
Answer:
4 + 3x
Step-by-step explanation:
Solve the following inequality. Negative one-half p less-than negative 16 Which graph shows the correct solution?
Answer:
p > 10.67
Step-by-step explanation:
Given the inequality -1 1/2p < -16
Before we can represent the inequality on a graph we just simplify it first. On simplification:
-1 1/2p < -16
(-3/2)p < -16
Multiplying both sides by 2
-3p < -32
Dividing both sides by -3 will change the sense of the inequality as shown:
p > -32/-3
p > 32/3
p > 10.67
Find the graph of the resulting inequality in the attachment.
Answer:
Graph A since these idiots cant just put the answer.
Step-by-step explanation:
1The volumes of two similar prisms are 972 cm3 and 36 cm3. The surface area of the larger prism is 594 cm2.
What is the scale factor for the similar figures? What is the surface area of the smaller prism?
Answer:
Part 1)
The scale factor of the smaller prism to the larger prism is 3
or
The scale factor of the larger prism to the smaller prism is 1/3
Part 2) The surface area of the smaller prism is 66 square centimeters
Step-by-step explanation:
Part 1) What is the scale factor for the similar figures?
we know that
If two figures are similar, then the ratio of their volumes is equal to the scale factor raised to the cube
Let
z ----> the scale factor
x ---> volume of the larger prism
y ---> volume of the smaller prism
so
[tex]z^3=\frac{x}{y}[/tex]
we have
[tex]x=972\ cm^3\\y=36\ cm^3[/tex]
substitute
[tex]z^3=\frac{972}{36}[/tex]
Simplify
[tex]z^3=27\\z=3[/tex]
therefore
The scale factor of the smaller prism to the larger prism is 3
or
The scale factor of the larger prism to the smaller prism is 1/3
Part 2) What is the surface area of the smaller prism?
we know that
If two figures are similar, then the ratio of their surface areas is equal to the scale factor squared
Let
z ----> the scale factor
x ---> surface area of the larger prism
y ---> surface area of the smaller prism
so
[tex]z^2=\frac{x}{y}[/tex]
we have
[tex]x=594\ cm^2[/tex]
[tex]z=3[/tex]
substitute
[tex]3^2=\frac{594}{y}[/tex]
solve for y
[tex]y=\frac{594}{9}=66\ cm^2[/tex]
therefore
The surface area of the smaller prism is 66 square centimeters
A decorative steel is shown and it is made from circular circle and 6 stems.
The length of each stem is 45cm.
Workout the total length of steel used in the frame
The total length of the steel used in the frame is 270 cm, if the decorative steel up of 6 stems and each stem is 45 cm.
Step-by-step explanation:
The given is,
Decorative steel made from circular circle of 6 stems
The length of the stem is 45 cm
Step:1
We need to find the total length of the steel used in the decorative steel,
Let, T - Total length of the steel
L - Length of the stem
n - Number of stems used in steel frame
Step:2
Formula to find the total length of the steel is,
[tex]T=[/tex] [tex]l[/tex] × [tex]n[/tex]
From given,
[tex]l[/tex] = 45 cm
[tex]n[/tex] = 6 stems
Substitute the values in formula,
[tex]T =[/tex] ( 45 × 6 )
= 270
[tex]T =[/tex] 270 cm
Result:
The total length of the steel used in the frame is 270 cm.
The total length of steel used in the decorative steel frame, made with 6 stems of 45cm each, is 270cm.
Explanation:To solve this question, we simply need to multiply the length of each stem by the number of stems used in the decorative steel. As stated, each stem measures 45cm, and there are 6 stems used in total.
Therefore, the total length of steel used in the frame would be calculated as follows:
Determine the length of an individual stem: 45cmDetermine the total number of stems: 6Multiply these two figures together: 45cm * 6 = 270cmSo, the total length of steel used in the frame is 270cm.
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Is it rational or irrational
write this polynomial in standard form- (5a+2)(a+4)
Answer:
5a²+22a+8
Step-by-step explanation:
(5a+2)(a+4)
5a² + 20a + 2a + 8
5a² + 22a + 8
Answer:
if minus is part of the question:
-(5a^2+22a+8)=-5a^2-22a-8
if not then:5a^2+22a+8____ a tip: make the question clear next time...good luck!
What is the range of the function y=4e^x?
Answer:
All real numbers greater than 0
Step-by-step explanation:
A function assigns values. The range of the function will be all real numbers greater than 0.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
As we can see in the function x can take up any value from -∞ to +∞. Although the value of eˣ will still be positive for any value of x.
Thus, the range of the function will be all real numbers greater than 0.
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2x-4y=8
Y=3/2x
solution
Answer:
(- 2, - 3 )
Step-by-step explanation:
Given the 2 equations
2x - 4y = 8 → (1)
y = [tex]\frac{3}{2}[/tex] x → (2)
Substitute y = [tex]\frac{3}{2}[/tex] x into (1)
2x - 4([tex]\frac{3}{2}[/tex] x ) = 8
2x - 6x = 8
- 4x = 8 ( divide both sides by - 4 )
x = - 2
Substitute x = - 2 into (2) for corresponding value of y
y = [tex]\frac{3}{2}[/tex] × - 2 = - 3
Solution is (- 2, - 3 )