Answer:
0.125
7.50/60=1.25
since there 60 minutes in one hour you would divide the hourly rate by 60.
A sequence of numbers consists of natural numbers that are
not perfect squares. What is the 1000th member of this
sequence?
Given :
A sequence of numbers consists of natural numbers that are
not perfect squares.
To Find :
The 1000th member of this sequence .
Solution :
Now , [tex]31^2=961[/tex] and [tex]32^2=1024[/tex] .
So , there are 31 numbers before 1000 which are perfect square .
Therefore , the [tex]999^{th}[/tex] is 1000+31 = 1031 .
Also , the first perfect square after 1000 is 32 .
So , we have to continue to 1031 + 1 = 1032 to compensate for the 32nd square.
Therefore , the 1000th member of this sequence is 1032 .
Hence , this is the required solution .
the weights of students in a junior college are normally distributed with a mean of 100 lbs. and a standard deviation of 18 lbs. What is the probability that a student drawn at random will weigh less than 150 lbs
Answer: 0.9973 .
Step-by-step explanation:
Given: Weights of students in a junior college follows normal distribution with a mean = 100 lbs and a standard deviation =18 lbs.
Let X denotes the random variable that represents the weights of students .
Then, the probability that a student drawn at random will weigh less than 150 lbs will be :
[tex]P(X<150)=P(\dfrac{X_\mu}{\sigma}<\dfrac{150-100}{18})\\\\=P(Z<2.78 )\ \ \ \ [Z=\dfrac{X_\mu}{\sigma}]\\\\ =0.9973\ \ \ [\text{By p-value table for z}][/tex]
Hence, the e=required probability is 0.9973 .
6(y + 3) = 30
(ignore this i8)
Answer:
y = 2
Step-by-step explanation:
Step 1:
6y + 18 = 30
Step 2:
6y = 12
Answer:
y = 2
Hope This Helps :)
A car dealership pays $8,350 for a car. They mark up the price by 17.4% to get the retail price. What is the retail price of the car at this dealership? Round your answer to the nearest hundredths (second) decimal place.
Answer:
1452.9
Step-by-step explanation:
what is the solution of the system of linear equations? y = 3x - 2 y - 2 = x
Answer:
x = 2 y = 4
Step-by-step explanation:
y = 3x - 2
x = y - 2
Plug in the equation of x into the first equation and solve for y.
y = 3x - 2
y = 3(y - 2) - 2 Multiply out
y = 3y - 6 - 2
y = 3y - 8 Add 8 to each side
y + 8 = 3y - 8 + 8 8 cancels on the right
y + 8 = 3y Subtract y from each side
y - y + 8 = 3y - y The y on the left cancels
8 = 2y Divide each side by 2
8/2 = 2y/2 2 on the right cancels because 2/2 = 1
8/2 = y
4 = y
Now plug your answer into the 2nd equation given to solve for x.
x = y - 2
x = 4 - 2
x = 2
Use the protractor tool to measure the angle.
What is the measure of the angle? Enter the answer in the box.
degrees
Answer: i belive its 140 i really coudn't tell.
Step-by-step explanation:
I used the protactor and I aligned it agaist the problem. Hope this helps. :)
By that i meant i got my protactor and I aligned it on the tiny dot you can see, the arrow pointed onto the number. I really don't think there is much to explain. If their is any confusion i will re-write it.
Answer:
the answer for this question is 110
Help me please!!!!!!!!!
Answer:
[tex] { \:( {6}^{10})}^{ - 7} [/tex]
Step-by-step explanation:
For all choices the exponent are addeed not multiplied.
hope it helps ❤❤❤
For any question comment me
Were should I go to study for my 10 grade geometry Fundamentals test which is tomorrow :[
Answer: in a quiet room or the library,
also you better summarize your geometry lessons and remember the formulas :P
Find x
A) 4
B) 4 root 2
C) 4 root 3
D) 8 root 3
This triangle is a 30-60-90 triangle, which you can just find by solving for the unknown angle in the triangle, making it a 30-60-90 triangle.
You'll need to memorize the side lengths for these triangles, but the side opposite from the hypotenuse (x in this case), will be half the length of the hypotenuse.
Meaning that [tex]2x=8[/tex]
So [tex]x=4[/tex]
Hope this helps.
頑張って!
Find all possible values of the expression 1/y if: .125
Answer:
The possible values for 1/y of the expression 0.125 < y < 0.25 are in the range
4 < 1/y < 8
Step-by-step explanation:
The given information are;
The range of values of y are 0.125 < y < 0.25, therefore, we have;
The boundaries of the function, y are 0.125 and 0.25
The inverse of the boundaries of the function, y are 1/0.125 = 8 and 1/0.24 = 4
Therefore;
The limits of the inverse of the function y are ;
The inequality that represents 1/y is therefore;
1/0.25 < 1/y < 1/0.125 or 4 < 1/y < 8
The possible values of 1/y for the expression 0.125 < y < 0.25 are therefore;
4 < 1/y < 8.
What is the difference between the high and low temp in the thermometer?
Answer:
The difference between the high and low temperature in the thermometer is 23°F.
Step-by-step explanation:
Given information: Highest temperature = 20°F and the lowest temperature = -3°F.
We need to find the difference between the high and low temperature in the thermometer.
Difference between the high and low temperature is
Difference = Highest temperature - Lowest temperature
Difference = 20°F - (-3°F)
Difference = 20°F + 3°F
Difference = 23°F
Therefore the difference between the high and low temperature in the thermometer is 23°F.
(-4x2)^2 / 2-9-5 how do I simplify
Answer:
-16/3
Step-by-step explanation:
To solve for this use the mnemonic device PEMDAS (parenthesis, exponent, multiplication, division, addition, subtraction)
First multiply -4 and 2 (-8)
(-8)^2/2-9-5
Next find out what -8 squared is (64)
64/2-9-5
Now simplify the denominator
64/-12
Lastly, divide 64 and -12
-16/3
6
Triangle RST has the vertices R(2, 3), S(-2, 1), and T(-1,5). What are the coordinates after the
two transformations:
Reflection over the y-axis and rotation at 180 degrees around the origin. *
(2 points)
Enter your answer
Please and thank you
Answer:
R(-2,-1)
S(-1,-5)
T(2,-3)
Step-by-step explanation:
First, you flip all coordinates to their exact points, just of the other side of the y-axis.
Then, you just gotta graph it and rotate it 180* around the origin.
PLEASE HELP I HAVE 20 POINTS The mass of the Eiffel Tower is about 9.16 ⋅ 10^6 kilograms. The mass of the Golden Gate Bridge is 8.05 ⋅ 10^8 kilograms. Approximately how many more kilograms is the mass of the Golden Gate Bridge than the mass of the Eiffel Tower? Show your work and write your answer in scientific notation. (10 points)
Step-by-step explanation:
8.05 * 10^8 - 9.16 * 10^6
= 10^6 * (8.05 * 10^2 - 9.16)
= 10^6 * (805 - 9.16)
= 10^6 * (795.84)
= 10^8 * 7.9584
Therefore the answer in scientific notation is 7.9584 * 10^8.
Alr im not smart ok sorry to not answer it right but i think its 2^2 kilograms
what is 36-(-30)-60+6
Answer
The answer is 0
A sports stadium has 10000 seats, divided into box seats, lower-deck seats, and upper-devk seats. Box seats sell for 10 dollars, lower-deck seats sell for 8 dollars, and upper-deck seats sell for 5 dollars.If all the seats are sold, the total revenue for a game is 70000 dollars.The stadium has 4 times as many upper* deckseats as box seats.How many lower-deck seats are in the stadium?
Answer:
Number of box seats = 1000
Number of lower deck seats = 5000
Number of upper deck seats = 4000
Step-by-step explanation:
Let number of box seats = [tex]x[/tex]
Let number of lower deck seats = [tex]y[/tex]
Let number of upper deck seats = [tex]z[/tex]
As per question statement:
[tex]x+y+z=10000[/tex] ...... (1)
Cost for box seat = $10
Cost for [tex]x[/tex] box seats = 10[tex]x[/tex]
Cost for lower deck seat = $8
Cost for [tex]y[/tex] lower deck seats = 8[tex]y[/tex]
Cost for lower deck seat = $5
Cost for [tex]z[/tex] lower deck seats = 5[tex]z[/tex]
As per question statement:
[tex]10x+8y+5z=70000[/tex] ..... (2)
[tex]z = 4x[/tex] ..... (3)
Putting value of [tex]y[/tex] in (1) and (2):
[tex]x+y+4x=10000\\\Rightarrow 5x+y=10000[/tex] ....... (4)
[tex]10x+8 y+5\times 4x=70000\\\Rightarrow 30x+8y=70000 ..... (5)[/tex]
8 [tex]\times[/tex] (4) - (5):
[tex]10x =[/tex]10000
[tex]\Rightarrow x = 1000[/tex]
By (3):
[tex]z = 4000[/tex]
Now, by equation (1):
[tex]y[/tex] = 5000
Number of box seats = 1000
Number of lower deck seats = 5000
Number of upper deck seats = 4000
11. Through (-3,-5), perpendicular to -2x - 5y = -19
A. y=2/5x+2/5 B. y=3/5x-19/5 C. y=-5/2x+5/2 D. y=5/2x+5/2
12. Through (-8,1), parallel to -8x + 5y = 89
A. y=-8/5x-69/5 B. y=8/5x+69/5 C. y=8/5x-89/5 B. 5/8x-1/8
14. Through (-8,1), perpendicular to -5x + 9y = 49
A. y=-9/5x-67/5 B. y=-9/5x C. y=-5/9x-67 D.y=9/5x+67/5
Answer:
11) D. y=5/2x+5/2 , 12) B. y=8/5x+69/5, 14) A. y=-9/5x-67/5
Step-by-step explanation:
11) The function of the perpendicular line can be found in terms of its slope and a given point by this formula:
[tex]y-y_{o} = m_{\perp}\cdot (x-x_{o})[/tex]
Where:
[tex]x_{o}[/tex], [tex]y_{o}[/tex] - Components of the given point, dimensionless.
[tex]m_{\perp}[/tex] - Slope, dimensionless.
Besides, a slope that is perpendicular to original line can be calculated by this expression:
[tex]m_{\perp} = -\frac{1}{m}[/tex]
Where [tex]m[/tex] is the slope of the original line, dimensionless.
The original slope is determined from the explicitive form of the given line:
[tex]-2\cdot x - 5\cdot y = -19[/tex]
[tex]2\cdot x +5\cdot y = 19[/tex]
[tex]5\cdot y = 19 - 2\cdot x[/tex]
[tex]y = \frac{19}{5} -\frac{2}{5}\cdot x[/tex]
The original slope is [tex]-\frac{2}{5}[/tex], and the slope of the perpendicular line is:
[tex]m_{\perp} = -\frac{1}{\left(-\frac{2}{5}\right) }[/tex]
[tex]m_{\perp} = \frac{5}{2}[/tex]
If [tex]x_{o} = -3[/tex], [tex]y_{o} = -5[/tex] and [tex]m_{\perp} = \frac{5}{2}[/tex], then:
[tex]y-(-5) = \frac{5}{2}\cdot [x-(-3)][/tex]
[tex]y + 5 = \frac{5}{2}\cdot x +\frac{15}{2}[/tex]
[tex]y = \frac{5}{2}\cdot x +\frac{5}{2}[/tex]
The right answer is D.
12) The function of the parallel line can be found in terms of its slope and a given point by this formula:
[tex]y-y_{o} = m_{\parallel}\cdot (x-x_{o})[/tex]
Where:
[tex]x_{o}[/tex], [tex]y_{o}[/tex] - Components of the given point, dimensionless.
[tex]m_{\parallel}[/tex] - Slope, dimensionless.
Its slope is the slope of the given, which must be transformed into its explicitive form:
[tex]-8\cdot x + 5\cdot y = 89[/tex]
[tex]5\cdot y = 89 +8\cdot x[/tex]
[tex]y = \frac{89}{5}+\frac{8}{5} \cdot x[/tex]
The slope of the parallel line is [tex]\frac{8}{5}[/tex].
If [tex]x_{o} = -8[/tex], [tex]y_{o} = 1[/tex] and [tex]m_{\parallel} = \frac{8}{5}[/tex], then:
[tex]y-1 = \frac{8}{5}\cdot [x-(-8)][/tex]
[tex]y-1 = \frac{8}{5}\cdot x +\frac{64}{5}[/tex]
[tex]y = \frac{8}{5}\cdot x +\frac{69}{5}[/tex]
The correct answer is B.
14) The function of the perpendicular line can be found in terms of its slope and a given point by this formula:
[tex]y-y_{o} = m_{\perp}\cdot (x-x_{o})[/tex]
Where:
[tex]x_{o}[/tex], [tex]y_{o}[/tex] - Components of the given point, dimensionless.
[tex]m_{\perp}[/tex] - Slope, dimensionless.
Besides, a slope that is perpendicular to original line can be calculated by this expression:
[tex]m_{\perp} = -\frac{1}{m}[/tex]
Where [tex]m[/tex] is the slope of the original line, dimensionless.
The original slope is determined from the explicitive form of the given line:
[tex]-5\cdot x +9\cdot y = 49[/tex]
[tex]9\cdot y = 49+5\cdot x[/tex]
[tex]y = \frac{49}{9} +\frac{5}{9}\cdot x[/tex]
The original slope is [tex]\frac{5}{9}[/tex], and the slope of the perpendicular line is:
[tex]m_{\perp} = -\frac{1}{m}[/tex]
[tex]m_{\perp} = -\frac{1}{\frac{5}{9} }[/tex]
[tex]m_{\perp} = -\frac{9}{5}[/tex]
If [tex]x_{o} = -8[/tex], [tex]y_{o} = 1[/tex] and [tex]m_{\perp} = -\frac{9}{5}[/tex], then:
[tex]y-1 = -\frac{9}{5}\cdot [x-(-8)][/tex]
[tex]y-1 = -\frac{9}{5}\cdot x-\frac{72}{5}[/tex]
[tex]y = -\frac{9}{5}\cdot x -\frac{67}{5}[/tex]
The correct answer is A.
Lin makes a line plot to show the data in the table. He places one dot above the 2 on the scale .How many dots should he place above the 3
Answer: 4
Step-by-step explanation: cause the chart has 4 number 3
foil (3x-5)(x+6) need the answer ASAP
Answer:
3x²+13x-30
Step-by-step explanation:
3x×x =3x²
3x×6= 18x
-5×x = -5x
-5×6=-30
Connect them together to form:
3x²+13x-30
(I got the 13x by doing 18x-5x)
Given h(t) = t2+t+ 12 and k(t) = V1-1, evaluate (ko h)(10).
O 11
0 24
O 122
366
Answer:
A-11
Step-by-step explanation:
Correct on EDGE
The value of the function k(h(10)) will be 11. The correct option is A.
What is a function?A function is defined as the expression that set up the relationship between the dependent variable and independent variable.
Given h(t) = t²+t+ 12 and k(t) = √t-1, we are to find k(k.h)(10)
k{h(t)} = k{ t²+t+ 12}
Since k(t)= √t-1, we will replace the variable t in the function with t²+t+ 12
k(h(t)) = √{(t²+t+ 12)-1}
k(h(t)) = √t²+t+12-1
k(h(t)) = √t²+t+11
Substituting t = 10 into the resulting function;
k(h(10)) = √(10)²+(10)+11
k(h(10)) = √100+10+11
k(h(10)) = √121
k(h(10))= 11
Therefore, the value of the function k(h(10)) will be 11. The correct option is A.
To know more about functions follow
https://brainly.com/question/20384115
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If one leg of a right triangle is 6 cm long, and the other leg is 8 cm long, how long is the triangles hypotenuse?!!
Answer:
approximately 9
Step-by-step explanation:
6 squared (36) plus 8 squared (64) is 84, and the square root of that is about 9
Answer:
10cm
Step-by-step explanation:
a²+b²=c²
6²+8²=c²
36+64=c²
100=c²
10=c
whats bigger 0.32 or 1/4??
Answer:
0.32 is bigger
Step-by-step explanation:
change 1/4 to decimal
can I get brainliest
Answer:
0.32
Step-by-step explanation:
Its bigger because if you turn 1/4 into a fraction it's 0.25
A lotion is made from an oil blend costing $1.50 per ounce and glycerin costing $1.00 per ounce. Four ounces of lotion costs $5.50. A table titled Lotion, showing Ounces, Cost per Ounce, and Total. The first row shows, Oil Blend, and has 4 minus g, 1.50, and x. The second row shows Glycerin, and has g, 1.00, and blank. The third row shows, Mixture, and has 4, blank, and 5.50. Which value could replace x on the table? (4 – g) 1.5 (4 – g) + 1.5 4g – g(1.5) (4 – g)g'
Answer:
A
Step-by-step explanation:
Answer: A: (4-g) 1.5
Step-by-step explanation:
this is the second question I don't undrstand
Answer:
[tex]d=\sqrt{58}[/tex]
Step-by-step explanation:
Distance Formula: [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Simply plug in your coordinates into the distance formula to find the length of AB:
[tex]d=\sqrt{(9-2)^2+(4-1)^2}[/tex]
[tex]d=\sqrt{(7)^2+(3)^2}[/tex]
[tex]d=\sqrt{49+9}[/tex]
[tex]d=\sqrt{58}[/tex]
Can someone please help me with this problem? In the picture down below. WILL MARK BRAINLIEST!!!
Answer:
only a
Step-by-step explanation:
Answer: The answer would be B
Step-by-step explanation:
can you please tell me the ans of my questions. the right ans with the process
Answer: i) 216 liters ii) 60 cm
Step-by-step explanation:
i) 216,000 cm³ × 1 liter/1000 cm³ = 216 liters
ii) [tex]\sqrt[3]{216,000\ cm^3} =60\ cm[/tex]
Floyd has just opened his new sandwich shop. He makes $3.00 on every sandwich sold and his monthly expenses
are $5,000. Which equation can be used to model the number of sandwiches, s, he needs to sell in a month in order to
make a profit, P?
O P = 5,000 - 35
O P = 5000 + 35
O P = 3s - 5000 6
Os= 5000-P
0
Answer:
I think the answer is P=3s-5000
Step-by-step explanation:
you wouldn't subtract anything from the 5000, you would subtract the 5000 from how much you made from the sandwiches.
hope that helps
2/3 - 4x + 7/2 = -9x + 5/6 need help asap please!
Answer:
X= Negative 2/3 or -0.6
Step-by-step explanation:
here you go
What is 10^5 as a decimal
Answer:
10^5=100000
Step-by-step explanation:
Write an equation to represent each situation. a) Blueberries are $4.99 a pound. Diego buys b pounds of blueberries and pays $14.95. b) Blueberries are $4.99 a pound. Jada buys p pounds of blueberries and pays c dollars. c) Blueberries are d dollars a pound. Lin buys q pounds of blueberries and pays t dollars.
Answer:
A) $4.99b = $14.95
B) $4.99p = $c
C) $qd = $t
Step-by-step explanation:
A) We are told that cost of blueberries is $4.99 a pound.
Now, Diego buys b pounds of blueberries and pays $14.95.
Since 1 pound costs $4.99, then b pounds will cost $4.99b
Since he paid $14.95, then the equation is;
$4.99b = $14.95
B) We are told that cost of blueberries is $4.99 a pound.
Now, Jada buys p pounds of blueberries and pays $c.
Since 1 pound costs $4.99, then p pounds will cost $4.99p
Since he paid $c, then the equation is;
$4.99p = $c
C) We are told that cost of blueberries is $d a pound.
Now, Lin buys q pounds of blueberries and pays $t.
Since 1 pound costs $d, then q pounds will cost $qd
Since he paid $t, then the equation is;
$qd = $t