Answer:
17
Step-by-step explanation:
cm/year
cm=34
year=2
34/2=17
What is 15990000 written as scientific notation
Answer:= 1.599 × 107
Step-by-step explanation:
here you go
find the commission on a $750 sale if the commission is 24%
Answer:
The commission is $180
Step-by-step explanation:
To find the commission take the total (750) and multiply it by the percentage of commission (.24).
When you do this, you will get $180.
Hope this helps! :)
Answer:
its 180
Step-by-step explanation:
Find the area and perimeter of the triangle below if a = 164 feet, b=221 feet, c=352 feet, and h=76 feet
Answer:
Perimeter=737 feets
Area=13542.6 ft²
Step-by-step explanation:
Well assuming that a,b,c are the three sides of the triangle and h is the height then;
Perimeter=distance around the figure
P=164+221+352= 737 feet
Area of a triangle given three sides is calculated using the formulae;
Area=√s (s-a) (s-b) (s-c) where s=(a+b+c)/2
Finding s;
s=(164+221+352)/2 =368.5 feet
Finding the area
A= √ 368.5 (368.5-164) (368.5-221) (368.5-352)
A=√368.5 (204.5) (147.5) (16.5)
A= 13542.6 ft²
The tables below show running hours of three printers that produce greeting cards and the total number of greeting cards produced over three weeks.
Number of Hours Machine Is Running
Printer A
Printer B
Printer C
Week 1
40
50
45
Week 2
45
50
40
Week 3
55
30
60
Total Cards Produced
Week 1
7,950
Week 2
7,800
Week 3
9,600
Printer B uses $15 in ink every hour. What is the ink cost for each card coming from printer B?
Answer:
$0.2456 / card in ink for printer B
Step-by-step explanation:
The formatting of the data tables isn't great in your question and it's hard to be sure of which numbers go where.
Since the question is about printer B, we'll assume the number of hours for printer B is 50 for week1, 50 for week2 and 3 for week3.
The numbers don't make much sense overall, but let's work with them.
We'll first calculate the ratio of hours worked by printer B with the overall hours all the printers worked, over the 3 weeks:
Printer A : 140 hours
Printer B : 130 hours
Printer C: 145 hours
Total 415 hours total, for the 3 printers.
Ratio of Printer B: 130 / 415 = 31.325%
Total of cards produced:
7,950 + 7,800 + 9,600 = 25,350 cards over 3 weeks.
We'll assume the productivity per hour is the same for all printers, since no indication otherwise. So, the portion of those 25K cards of printer B should be the same as the ratio of the hours worked:
25,340 * 31.325% = 7941 cards (rounded to the nearest unit)
Since we know printer B ran for 130 hours, and it costs $15/hour in ink, we have:
130 hours * 15$/hour = $1,950 in ink.
Now, we divide by the number of cards:
$1,950 / 7941 cards = $0.2456 / card in ink for printer B
Answer:
b
Step-by-step explanation:
took test
Can someone check over this? And explain if it's wrong?
Answer:
You are correct!
:D
Find the product. Write your answer in exponential form. 2^-8*2
Answer:18446744073709600000
Step-by-step explanation:
2^-8*2=2^64=
geckos and iguanas are both lizards. The length of the average gecko is about two fifths of the length of average iguana. Geckos are about 10 in. long. What is the lenth of an average iguana.
Answer:
25 in.
Step-by-step explanation:
Since we know geckos are 2/5 of an Iguana's length, we need to find the length of 1/5.
So if 10 in. is 2/5, 5 in, is 1/5.
Now, since the denominator is 5, we multiply 5 in. by 5.
5x5=25 in.
25 in. is the length of an average Iguana.
tx²+3x-7=0 has two real solution. what can be the deducted about the value of t?
Answer:
value of t is greater than equal to -9 / 28.
Step-by-step explanation:
Given Quadratic Polynomial : tx² + 3x - 7 = 0
Also, It has real solutions.
Standard Quadratic equation, is ax² + bx + c = 0
here, Determinant, D = b² - 4ac
decides nature of the roots.
if D < 0 , roots / solutions are complex
if D = 0 , roots are real and equal.
if D > 0 , roots are real and different.
As given roots are real solutions.
Means Dis either equal to 0 or greater than 0
when D = 0
we have, 3² - 4 × t × (-7) = 0
9 + 28t = 0
t = -9 / 28
when D > 0
we have, 3² - 4 × t × (-7) > 0
9 + 28t > 0
t > -9 / 28
Therefore, value of t is greater than equal to -9 / 28.
h=64t-32t^2 find the maximum height attained by the obiect
Check the picture below.
so if we just find its vertex, we know how many feet it went up by its y-coordinate.
[tex]\bf h=64t-32t^2\implies h=-32t^2+64t+0 \\\\[-0.35em] ~\dotfill[/tex]
[tex]\bf \textit{vertex of a vertical parabola, using coefficients} \\\\ h=\stackrel{\stackrel{a}{\downarrow }}{-32}t^2\stackrel{\stackrel{b}{\downarrow }}{+64}t\stackrel{\stackrel{c}{\downarrow }}{+0} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right) \\\\\\ \left(-\cfrac{64}{2(-32)}~~,~~0-\cfrac{64^2}{4(-32)} \right)\implies \left( \stackrel{\stackrel{\textit{how many}}{\textit{seconds}}}{1}~~,~~\stackrel{\stackrel{\textit{how many feet}}{\textit{it went up}}}{32} \right)[/tex]
What is angle E and what is the process finding it?
Answer: 39 degrees
Step-by-step explanation: The angle sum of a triangle is 180 degrees so we take 102 from 180.
180-102=78
Since the two angles are the same then we just divide 78 by 2
78/2=39
Answer:
∠E ≈ 37°
Step-by-step explanation:
Using the Sine Rule in ΔEFG, that is
[tex]\frac{26}{sinE}[/tex] = [tex]\frac{42}{sin102}[/tex] ( cross- multiply )
42 × sinE = 26 × sin102° ( divide both sides by 42 )
sinE = [tex]\frac{26(sin102)}{42}[/tex] ≈ 0.6055..
E = [tex]sin^{-1}[/tex] (0.6055 ) ≈ 37°
Rewrite the function by completing the square. g(x)= x^2 + 15x +54
(24 POINTS)
The function can be written as g(x)=(x+15/2)^2 +(-9/4)
How to convert it?Some quadratic equations are difficult to factor and are not presented in a way that enables us to apply the square root property right away. However, by "completing the square," we may transform the quadratic formula into a perfect square trinomial. The square root property is then used to factor the trinomial and answer the equation.
How to Complete the Square in Equations to Solve the Problem
1. Transform the original equation into x2 + bx = c.
2. Add the term required to complete the square to both sides.
3. Factor the trinomial with a perfect square.
4. Apply the square root property to the resulting equation
If x2 + bx is a binomial, then adding will result in a perfect square trinomial. is the square of half the coefficient of the linear x.
A perfect square trinomial can be factored, so the equation can then be solved by taking the square root of both sides.
To learn more about quadratic equation refer to:
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Answer:
g(x)=(x+15/2)^2 +(-9/4)
Step-by-step explanation:
what is 25 1/2 × 5 –3 = 5 x
Answer:
25 1/2 × 5 - 3 = 5x
51/2 × 5 - 3 = 5x
255/2 - 3 = 5x
255/2 - 6/2 = 10x/2
255 - 6 = 10x
249 = 10x
x = 249/10 = 24.9
The value of x in the equation [tex]25\frac{1}{2} * 5 -3 = 5x[/tex] is x=24.9
What is the value of x in the equation [tex]25\frac{1}{2} * 5 -3 = 5x[/tex]?Given:
An equation is given as [tex]25\frac{1}{2} * 5 -3 = 5x[/tex].Find:
The value of x.Solution:
The given equation is [tex]25\frac{1}{2} * 5 -3 = 5x[/tex]
Now, solving the equation, we get;
[tex]25\frac{1}{2} * 5 -3 = 5x[/tex]
[tex]\frac{51}{2} *5 - 3 =5x[/tex]
Now, multiplying the 51/2 with 5, we get;
[tex]\frac{255}{2} - 3 = 5x[/tex]
Now, we will take lcm and we get;
[tex]\frac{255-6}{2} = 5x[/tex]
[tex]\frac{249}{2} = 5x[/tex]
Now, multiplying with 2 on both sides of the equation, we get;
249 = 10x
Now, dividing by 10 into both sides of the equation, we get;
x = 24.9
Hence, the value of x in the equation [tex]25\frac{1}{2} * 5 -3 = 5x[/tex] is x=24.9
To learn more about equation solving, refer to:
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find the additive inverse of -7+5i.
Answer:
Required additive inverse is [tex]-7-5i[/tex].
Step-by-step explanation:
Given number is [tex]-7+5i[/tex].
Now we need to find about what is that additive inverse of the given number [tex]-7+5i[/tex].
We know that if complex number is [tex]a+bi[/tex] then it's additive inverse is given by [tex]a-bi[/tex].
Basically we need to change the sign of imaginary term.
imaginary term in given number [tex]-7+5i[/tex] is +5i.
Changing sign of +5i gives -5i.
Hence required additive inverse is [tex]-7-5i[/tex].
The number of DVDs in a random person’s home collection is counted for a sample population of 80 people. The mean of the sample is 52 movies; the entire population is known to have a standard deviation of 12 movies. Assuming a 99% confidence level, find the margin of error.
Answer:
[tex]E = 3.46\ movies[/tex]
Step-by-step explanation:
The formula to find the error is:
[tex]E = z_{\frac{\alpha}{2}}\frac{\sigma}{\sqrt{n}}[/tex]
Where:
[tex]\sigma[/tex] is the standard deviation
n is the sample size
So
n = 80 people
[tex]\sigma[/tex] = 12 movies
Then
[tex]1- \alpha[/tex] = confidence level = 0.99
[tex]\alpha= 1-0.99[/tex]
[tex]\alpha = 0.01\\\\\frac{\alpha}{2} = 0.005[/tex]
We look for the Z value: [tex]Z_{0.005}[/tex]
[tex]Z_{0.005}=2.58[/tex] Looking in the normal standard tables
Therefore:
[tex]E =2.58*\frac{12}{\sqrt{80}}\\\\E = 3.46\ movies[/tex]
The probability for success of an event is P(A), and the probability of success of a second event is P(B). What is the
probability of both events occurring, in that order?
A.) P(A + B)
B.) P(A) . P(B)
C.) P(A) + P(B)
D.) P(A x B)
Answer:
b I am sure because to x the number to the the probability and we don't know which ]h one so there is a 50% 50% chance for both.
Step-by-step explanation:
Answer:
Option B - [tex]P(A)\cdot P(B)[/tex]
Step-by-step explanation:
Given : The probability for success of an event is P(A), and the probability of success of a second event is P(B).
To find : What is the probability of both events occurring, in that order?
Solution :
The probability for success of an event is P(A).
The probability of success of a second event is P(B).
As the events are independent so the probability of both events occurring, in that order is [tex]P(A)\cdot P(B)[/tex]
Therefore, Option C is correct.
The probability of both events occurring, in that order is [tex]P(A)\cdot P(B)[/tex]
A 4-digit number ends in 3. If you put the number 3 in the first position, the number will decrease by 738. Find the original 4-digit number?
Answer:
4153
Step-by-step explanation:
(x-3)/10 + 3000 = x-73
(x-3)/10 = x - 3738
x-3 = 10x - 37380
x = 10x - 37377
-9x = -37377
x = 4153
: P
Answer:
4153
Step-by-step explanation:
Let the original number be x
First, you subtract 3 from the original number. This removes 3 from the last digit, but leaves a zero there.
Now to remove the zero, you divide by 10.
Finally, to put the 3 at the first position, you add 3000.
Now Moving the last digit, 3, to the first position the number becomes :[tex]\frac{x-3}{10}+3000[/tex]
We are given that the number will decrease by 738.
A.T.Q
[tex]\frac{x-3}{10} + 3000 = x-738[/tex]
[tex]\frac{x-3}{10}= x - 3738[/tex]
[tex]x-3 = 10x - 37380[/tex]
[tex]x = 10x - 37377[/tex]
[tex]-9x = -37377[/tex]
[tex]x = 4153[/tex]
Hence the original 4-digit number is 4153.
identify which segment is the hypotenuse
1)lm
2)mn
3)ln
4) none of the above
the hypotenuse is always the line directly in front of the right angle.
so the answer is 2) mn
Plsssss helppppppppppp
Answer:
B
Step-by-step explanation:
A parabola is symmetric about the vertex point. The x-coordinate of the vertex is 4.6.
So the parabola has 1 intersection point at x = 0 (origin as shown) and the line of symmetry is at x = 4.6. That is, from 0 to 4.6, it is 4.6 units. Hence, the other intersection point at the x-axis should be from 4.6 to 4.6 units to the right.
Hence, 4.6 + 4.6 = 9.2
The x-intercept would be (9.2, 0)
Correct answer is B
Which data set is represented by the modified box plot? 116, 118, 114, 117, 151, 126, 122, 114, 124 100, 104, 114, 116, 117, 118, 122, 126, 151 116, 118, 104, 117, 151, 136, 142, 104, 124 106, 108, 104, 107, 151, 126, 132, 104, 124
100, 104, 114, 116, 117, 118, 122, 126, 151
That was the correct answer for the test I took
Type the correct answer in the box. If cos x = sin(20 + x)° and 0° < x < 90°, the value of x is °.
Answer:
x = 35 degrees.
Step-by-step explanation:
cos x = sin(20 + x)
Using the identity cos x = sin(90 - x):
20 + x = 90 - x
2x = 70
x = 35 degrees (answer).
Answer:
Value of x is 35°.
Step-by-step explanation:
Given:
cos x = sin ( 20 + x )
To find: Value of the x.
We know that [tex]sin\,(90-\theta)=cos\,\theta[/tex]
Consider,
cos x = sin ( 20 + x )
sin ( 90 - x ) = sin ( 20 + x )
Comparing both sides,
90 - x = 20 + x
-x - x = 20 - 90
-2x = -70
x = 35°
Therefore, Value of x is 35°.
Kim is making a bouquet for her friend. She used x tulips and some daffodils in the bouquet. The number of daffodils is equal to the square root of the number of tulips. If the total number of flowers in the bouquet is 20, find the number of tulips.
5
16
20
4
Answer:
16
Step-by-step explanation:
So the number of tulips (t) plus the number of daffodils (d) should equal up to 20. So if we write that as an equation, it would t + d = 20. So now we have to find what two numbers could add up to 20, but let's not forget that the number of daffodils is equal to the square root of the number of tulips.
So now we have to find a number when added to its square root is 20. So going by process of elimination, you can eliminate 5 because the square root of that is a decimal and 5 plus a decimal isn't going to add up to 20. You know you can eliminate 20 because it already reaches the limit with the number of tulips, not allowing enough room for daffodils. You can eliminate 4 because the square root of that is 2, and 4 + 2 = 6, not 20.
So that leaves 16... The square root of 16 is 4, because 4 divided by itself twice equals 16. Now, let's add them and see if it equals 20. 16 tulips + 4 daffodils = 20. So 16 is your answer.
Sorry I am bad at explaining things, but I hope this helps anyway!
Answer:
Option B is the correct answer.
Step-by-step explanation:
She used x tulips and some daffodils in the bouquet.
The number of daffodils is equal to the square root of the number of tulips.
[tex]\texttt{Number of daffodils = }\sqrt{x}[/tex]
The total number of flowers in the bouquet is 20
That is
[tex]x+\sqrt{x}=20[/tex]
Solving
[tex]x+\sqrt{x}=20\\\\\sqrt{x}=20-x\\\\x=(20-x)^2\\\\x=400-40x+x^2\\\\x^2-41x+400=0\\\\(x-25)(x-16)=0\\\\\texttt{x=25 or x = 16}[/tex]
Total number is less than 20 so 25 is not possible
Number of tulips used = 16
Option B is the correct answer.
Quadratic relations help needed! Thank you
For this case we have that the distance between two points is:
[tex]d = \sqrt {(x_ {2} -x_ {1}) ^ 2 (y_ {2} -y_ {1}) ^ 2}[/tex]
We have the following points:
[tex](x_ {1}, y_ {1}) :( 3 \sqrt {7}, 2 \sqrt {5})\\(x_ {2}, y_ {2}) :( 5 \sqrt {7}, 5 \sqrt {5})[/tex]
Substituting:
[tex]d = \sqrt {(5 \sqrt {7} -3 \sqrt {7}) ^ 2+ (5 \sqrt {5} -2 \sqrt {5}) ^ 2}\\d = \sqrt {(2 \sqrt {7}) ^ 2+ (3 \sqrt {5}) ^ 2}\\d = \sqrt {4 (7) + 9 * (5)}\\d = \sqrt {28 + 45}\\d = \sqrt {73}\\d = 8.5440[/tex]
Answer:
[tex]d = 8.54[/tex]
If mike only has 100 dollars to spend on games, how many $20 games can he afford to buy?
Answer: 5
Step-by-step explanation: If Mike Only has $100 To Spend On Games, He Can Buy 5 Games Because We Multiply 20 By 5 To Get A Product Of 100.
Therefore, Mike Can Afford 5 Games With No Money Left.
Have A Fantastic Day!
Be Safe,
Eric
Mike can afford to buy 5 $20 games.
To determine how many $20 games Mike can afford to buy with $100, we divide the total amount of money he has by the cost of one game.
Total money Mike has = $100
Cost of one game = $20
Number of games Mike can afford = Total money / Cost of one game
Number of games Mike can afford = $100 / $20
Number of games Mike can afford = 5
Therefore, Mike can buy 5 games with $100.
What are the solutions of the quadratic equation (x – 8)2 – 13(x – 8) + 30 = 0? Use u substitution to solve. x = –11 and x = –18 x = –2 and x = 5 x = 2 and x = –5 x = 11 and x = 18
Answer:
x=11 and x=18
Step-by-step explanation:
The given quadratic equation is;
[tex](x-8)^2-13(x-8)+30=0[/tex]
Let u=(x-8)
[tex]u^2-13u+30=0[/tex]
Split the middle term;
[tex]u^2-10u-3u+30=0[/tex]
Factor by grouping
[tex]u(u-10)-3(u-10)=0[/tex]
[tex](u-10)(u-3)=0[/tex]
We have either u=10 or u=3
This implies that;
x-8=10 or x-8=3
x=10+8 or x=3+8
x=18 or x=11
Answer:
The answer is D on EDGE 2020
Step-by-step explanation:
If the bases of an isosceles trapezoid have lengths of 11 and 24, what is the length of the median? A. 17.5 units B. 35 units C. 13 units D. 6.5 units
Answer:
Option A. [tex]17.5\ units[/tex]
Step-by-step explanation:
we know that
The measure of the median is the semi-sum of the bases
so
[tex]\frac{1}{2}(11+24)=17.5\ units[/tex]
Answer:
17.5
Step-by-step explanation:
1/2(11+24)=17.5
17 out of 20 teens say they eat or drink something before school. if 3,000 students attend that highschool, predict the number of teenagers that eat or drink something before school PLZ HURRRRRRRRRRRYYYYYYYYYYYYY
Answer:
2,550
Step-by-step explanation:
3,000 divided by 20 equals 150.
17 multiplied by 150 equals 2,550.
the answer is 2,550 I agree
Select the correct answer from the drop down menu
[tex](\frac{f}{g})(x)=\frac{x^{2} +2x-3}{x^2-9}[/tex] since x = 4, you plug in 4 into the x's in the equation
[tex](\frac{f}{g} )(4)=\frac{(4)^2+2(4)-3}{(4)^2-9} = \frac{16 + 8 - 3}{16 - 9}[/tex] Simplify
[tex]\frac{21}{7} =3[/tex]
so [tex](\frac{f}{g})(4)=3[/tex]
(f + g)(x) = (x² + 2x - 3) + (x² - 9) Plug in 4 for x
(f + g)(4) = 4² + 2(4) - 3 + (4)² - 9
(f + g)(4) = 16 + 8 - 3 + 16 - 9 = 28
Please help me with this and thank you
Answer:
The answer is D
Step-by-step explanation:
(12 + 6) x (11 - 7) = 72
18 x 4 = 72
72 = 72
The answer is D
WHAT IS 6 x 6 x 6 x 6 x 6 is exponet form
Answer:
Exponent of 5
Step-by-step explanation:
Because there are 5 6s it would be 6 to the exponent of 5.
Given, 6×6×6×6×6
Have to write in Exponent form
So....Its given that there are 5 six so..we can write is as
[tex] = {6}^{5} [/tex]
Hope itz help!!✌☑️please help i really need help
Answer:
142 degrees
Step-by-step explanation:
Since LON is 180 degrees...
9x - 91 + 6x + 76 = 180
15x - 15 = 180
15x = 165
x = 11
MON = 6(11) + 76
MON = 66 + 76
MON = 142