Which is the best estimate of (Negative three-fifths) (17 and StartFraction 5 over 6 EndFraction)?
Answer:
Step-by-step explanation:
[tex]\frac{-3}{5}*17\frac{5}{6}=\frac{-3}{5}*\frac{107}{6}\\\\=\frac{-1*107}{5*2}\\\\=\frac{-107}{10}\\\\=-10\frac{7}{10}[/tex]
Answer:
-9
Step-by-step explanation:
don't have one
PLEASE HELP: ABCD is a parallelogram. If m DAB=105, then what is m BCD
Answer:
[tex]\boxed{105}[/tex]
Step-by-step explanation:
∠DAB = ∠BAC = 105 degrees
This is because opposite angles of a parallelogram are congruent.
Answer:
105
Step-by-step explanation:
∠DAB = ∠BAC = 105
The number or expression in a power that is multiplied by itself?
Answer:
the base???
Step-by-step explanation:
Answer:
Exponent
Step-by-step explanation:
An exponent is a shorthand notation which tells how many times a number (or expression) is multiplied by itself.
PLEASE HELP ME! IM REALLY CONFUSED!
Will give high vote and brainliest!! Just make sure to put the CORRECT answer <3 (the one i clicked is wrong)
Answer:
1.2x10^13
Step-by-step explanation:
Trillion=1x10^12
12 trillion=12x10^12
12 trillion=1.2x10^13
Complete the solution of the equation. Find the
value of y when x equals -19.
2x - 5y = -28
Enter the correct answer.
ODO
DONE
Clear all
Answer:
y = -2
Step-by-step explanation:
Put x as -19 and solve for y.
2(-19) - 5y = -28
Multiply.
-38 - 5y = -28
Add 38 on both sides of the equation.
-5y = -28 + 38
-5y = 10
Divide both sides by -5.
y = 10/-5
y = -2
Answer:
2x - 5y = -28
when x = - 19
Substitute the value of x into the equation
That's
2(-19) - 5y = -28
-38 - 5y = -28
-5y = -28 + 38
-5y = 10
Divide both sides by - 5
We get
y = 10/-5
y = -2
Hope this helps
Steve washed 15 cars in 3 hours. How many cars can he wash in 7 hours?
Answer:35 cars in 7 hours.
Step-by-step explanation:15/3=5 per hour. 5x7=35.
Answer:
35 cars in 7 hrs
Step-by-step explanation:
Steve's rate of work is (15 cars) / (3 hrs), or 5 cars/hr.
In 7 hrs he can wash
5 cars
---------- * 7 hrs = 35 cars in 7 hrs
hr
Add polynomials: (3 – 4x + 8x2) + (–6 + 2x – 5x2)
Answer:
The sum of the polynomials in the equation is 3x² - 2x - 3
Step-by-step explanation:
(3 - 4x + 8x²) + (-6 + 2x - 5x²)
Distribute the positive sign to (-6 + 2x - 5x²). So all of these terms will stay the same and maintain their original signs.
3 - 4x + 8x² - 6 + 2x - 5x²
Combine like terms.
- 3 - 2x + 3x²
Now put the equation in standard form. This means that the exponential numbers will be ordered in descending order.
3x² - 2x - 3
Answer:
3x^2 -2x -3
Step-by-step explanation:
Combine like terms
3-4x+8x^2-6+2x-5x^2
Put the numbers that are squared in the front
8x^2 -5x^2 =3x^2
Put the numbers with x only next
-4x + 2x= -2x
Then the normal numbers
3-6=-3
Put them together in simplified form of the equation
Thus your answer is 3x^2 - 2x -3
Hope this helps please mark brainliest!
please help 100 points if correct ! :)
please actually answer
Instructions
Part 1: Celebration!
Think of an activity that you enjoy or are interested in. Some examples are reading, swimming, or leveling up your gaming character. Use your activity to work through the following problems:
Create a scenario that leads to an inequality of the form ax + b > c. You can use any of the inequality symbols (>, ≥, <, ≤) in your inequality. For this step, just write the word problem.
Write the inequality and show all work to solve the inequality.
Graph the solution to your inequality on a number line.
Explain what your solution means in the context of the problem.
Well for the activity we can do a game.
In a game you start with 50 coins and everytime you kill a monster "x" you get 2 more coins.You need 100 coins to level up.
We can make the following inequality,
2x + 50 ≥ 100
So to find x we single it out,
2x + 50 ≥ 100
-50 to both sides
2x ≥ 50
Divide 2 by both sides
x ≥ 25
For the number line look at the image below ↓
The solution in the number line is the number of monsters killed in order to level up.
Hope this helps :)
quadratics helppp plzzzz
Answer:
x = -3 ± 2√2
Step-by-step explanation:
x² + 6x + 1 = 0
Let's solve by completing the square.
Add -1 and 9 on both sides.
x² + 6x + 9 = 8
Factor left side.
(x + 3)² = 8
Take square root on both sides.
x + 3 = ±√8
Add -3 to both sides.
x = -3 ± 2√2
What is the solution to the system of linear equations graphed below?
A.) (0, 4)
B.) (4, 1/2)
C.) (1/2, 4)
D.) (0, 3)
Answer:
C.) (1/2, 4)
Step-by-step explanation:
The solution is where the two lines intersect
The lines intersect at x = .5 and y =4
Answer:
C.) (1/2, 4)
Step-by-step explanation:
simplify
[tex] \frac{3x - 12x {y}^{2} }{6 - 3y - 18 {y}^{2} } [/tex]
Answer:
[tex]\dfrac{2xy+x}{3y+2}[/tex]
Step-by-step explanation:
Factor numerator and denominator and cancel common factors.
[tex]\dfrac{3x-12xy^2}{6-3y-18y^2}=\dfrac{-3x(4y^2-1)}{-3(6y^2+y-2)}=\dfrac{x(2y-1)(2y+1)}{(2y-1)(3y+2)}\\\\=\boxed{\dfrac{2xy+x}{3y+2}}[/tex]
In a school of 450 students, 110 of them are in the choir, 240 of them are in the band and 60 students are in the choir and the band Find the probability that a student chosen at random is in the choir or band or both
Answer:
29/45 ≈ 0.644
Step-by-step explanation:
There are 450 students in total
110-60=50 students are only in the choir
240-60=180 students are only in the band
60 students are in both
160 students are neither in the band nor in the choir
So the chance of being in either is (50+60+180)/450 = 29/45 ≈ 0.644
Please help me ima give BRAINLIST
Answer:
53
Step-by-step explanation:
We know the first term and common difference so we can write the explicit formula. The formula is:
aₙ = a₁ + (n - 1)d
aₙ = 8 + (n - 1) * 3
aₙ = 3n + 5
This means that a₁₆ = 3 * 16 + 5 = 53
by using the formula for arithmetic sequence, the 16th term of the progression can be obtained. Given A1 = 8 and d = 3,
A16=A1 + (n-1) d
A16=8 + (16-1) (3)
A16 = 53
I hope I helped! Be safe!
Last season, a lacrosse player scored 41 points in 15 games.So far this season, the player has scored 24 points in 9 games.a. Does the player have a greater number of goals per game thisseason compared with last season?b. Suppose the player plays in as many games this season as lastseason and continues to score at this season’s rate. Write and solve aproportion to find the number of goals the player will score thisseason.
Answer:
1.) No
2.) 40 goals
Step-by-step explanation:
Given the following :
Last season:
Games played = 15
Points scored = 41
Current season:
Games played = 9
Points scored = 24
A)
Last season:
Goals per game = total points / number of games
Goals per game = 41 / 15 = 2.733
Current season :
Goals per game = total points / number of games
Goals per game = 24 / 9 = 2.667
Last season's goal per game is greater than that of current season.
B)
Current rate = goals / games = 24/9 - - - (1)
Let points to be scored this season = y
Ratio of y to number of games played last season = y / 15 - - - (2)
Equate both
24 / 9 = y / 15
9 * y = 24 * 15
y = 360 / 9
y = 40
Identify the center and radius of each. Then sketch the graph.
x^2 + y^2 =45
Answer:
centre: (0, 0)
radius: 3√5 ≈ 6.71
Step-by-step explanation:
The equation of a circle is denoted by:
[tex](x-x_1)^2 +(y-y_1)^2=r^2[/tex], where [tex](x_1,y_1)[/tex] is the centre and r is the radius
Here, we see that x1 and y1 are each 0, which means the centre is (0, 0).
We also see that r² = 45, which means the radius is r = √45 = 3√5 ≈ 6.71.
Therefore, we want to draw a circle with radius 6.71 and centre at (0, 0). See attached.
~ an aesthetics lover
What is 6 y minus 3 x = negative 18 written in slope-intercept form?
Answer:because that’s what the answer is
Step-by-step explanation:
Answer:
Y=1/2x-3
Step-by-step explanation:
A
a
29
20
С
B
21
Find tan(a) in the triangle.
Answer:
21/20.
Step-by-step explanation:
tan α = opposite side / adjacent side
= 21/20
A high school has 44 players on the football team. The summary of the players' weights is given in the box plot. What is the interquartile range of the players' weights? 150 160 170 180 190 200 210 220 230 240 250 260 270 [infinity] −[infinity] 262 160 175 214 225 Weight (in pounds)
Answer:
The interquartile range of the players' weights = 48 pounds.
Step-by-step explanation:
The boxplot attached to this question is missing. It was obtained online and is attached to this solution of the question.
It should be noted that the following is true for a boxplot.
A box plot gives a visual representation of the distribution of the data, showing where most values lie and those values that greatly differ from the rest, called outliers.
The elements of the box plot are described thus;
The bottom side of the box represents the first quartile, and the top side, the third quartile. Therefore, the width of the central box represents the inter-quartile range.
The horizontal line inside the box is the median.
The lines extending from the box reach out to the minimum and the maximum values in the data set, as long as these values are not outliers. The ends of the whiskers are marked by two shorter horizontal lines.
Variables in the dataset, higher than Q3+(1.5×IQR) or lower than Q1-(1.5×IQR) are considered outliers and are usually shown using dots above the top whisker or below the bottom whisker.
So, it is evident that for this question,
First quartile = 174 pounds
Third quartile = 222 pounds
Inter Quartile Range = (Third quartile) - (First quartile)
= 222 - 174
= 48 pounds.
Hope this Helps!!!
If the area of the trapezoid below is 75 square units, what is the value of x?
A. 12 units
B. 6 units
C. 1.5 units
D 3 units
Answer:
area of trapezoid= 1/2 × ( a + b ) × high
75cm² = 1/2 × (8+17) × h
75. = 1/2 × 25 × h
75. = 12,5 × h
75. = 12,5h
h = 75 ÷ 12,5
h. = 6 ( B )
HELP ASAP ! Identify the volume and surface area of a sphere in terms of pi with a great circle area of 144pi ft^2.
Answer:
Area of sphere = 576 pi ft^2
Volume of sphere = 2,304 pi ft^3
Step-by-step explanation:
Radius of great circles are the same as radius of the sphere
So let’s calculate the radius of the sphere from the area given;
Mathematically;
pi * r^2 = 144pi
r^2 = 144
r = square root of 144
r = 12 ft
Volume of sphere = 4/3 * pi * r^3
= 4/3 * pi * 12^3 = 2,304 pi ft^3
Area of sphere = 4 * pi * r^2 = 4 * pi * 12^2 = 4 * 144 * pi = 576 pi ft^2
An Indiana corn grower has 1000 bushels of corn that are to be divided between markets in Indianapolis and Fort Wayne. These two markets need at least 100 bushels and 300 bushels. Determine the system of inequalities that describes this situation.
Answer:
x + y = 1000x ≥ 100y ≥ 300Step-by-step explanation:
Let x and y represent amounts to be taken to Indianapolis and Ft. Wayne, respectively. Then you have ...
x + y = 1000 . . . . . . 1000 bushels are to be divided between 2 markets
x ≥ 100 . . . . . . . . . . Indianapolis needs at least 100 bushels
y ≥ 300 . . . . . . . . . Fort Wayne needs at least 300 bushels
Answer: x + y = 1000 This could be x + y ≤ 1000 depending on how you interpret the distribution. (The markets might not need all )
x ≥ 100 We'll say this is Indianapolis needing a minimum of 100 bushels
y ≥ 300 This is Ft.Wayne needing a minimum of 300 bushels
Step-by-step explanation:
The distribution could be anything within the darkest shaded area in the attached graph.
For example, if Indianapolis takes only 100 bu, Ft.Wayne could get up to 900bu. If Ft. Wayne takes 300bu, Indy could get up to 700bu.
Or they could each take 500, and the farmer has none left, or they could each take their minimum plus 100 (200 + 400) and the farmer has 600bu left
PLZ HELP! PLZ EXPLAIN
Answer:
H. 48
Step-by-step explanation:
Let p represent the number of coins Pamela has. Then 3p is the number Samantha has. After 6 days of adding coins, we have ...
2(p +3·6) = 3p +2·6
2p +36 = 3p +12
24 = p . . . . Pamela has 24 coins; Samantha has 72.
Now, we can find the number of days (d) before the coin count is the same.
24 +3d = 72 +2d . . . . coin counts are the same after d days
d = 48 . . . . . subtract 24+2d
In 48 days from now, Pamela and Samantha will have the same number of coins.
ITUTUS
Every day a school bus driver passes the same traffic light twice, once before school and once after.
Each time he passes the light, he records if it is red, green, or yellow.
Here is a summary of the data he got after 150 days.
Traffic light
before school
Traffic light
after school
Number of days
red
red
13
red
green
17
red
yellow
23
green
red I
11
green
green
10
green
yellow
17
yellow
red
24
yellow
green
21
yellow
yellow
14
Suppose the driver will continue recording the colors for 50 more days.
In how many of these 50 days will the light be yellow at least once? Use the data to make a prediction.
Х
$
?
Answer:
Step-by-step explanation:
Estimate the product of the numbers 908 x 67 by rounding each number to the nearest hundred. The estimated product is ?
Work Shown:
908 rounds to 900. This is because 908 is closer to 900, than it is to 1000.
While 67 rounds to 100, for similar reasoning as above.
Multiplying those rounded values gives 900*100 = 90,000. This is the number 90 thousand.
Note that 9*1 = 9 and its followed by four zeros (two each from 900 and 100). This is a quick way to mentally multiply things like this.
Using a calculator, we see that 908*67 = 60,836 which is fairly off from what we estimated. This is to be expected as estimates only give us a rough idea of how big a number is.
What is the product?
Answer:
It's (B)
Step-by-step explanation:
Which linear inequality is represented by the graph?
Answer:
B. y ≤ 1/2x + 3
Step-by-step explanation:
Well we can start by finding the y-intercept which is the point on the line that touches the y-axis in this case it’s 3.
And by looking at the shade it is facing down and the line is solid so the inequality starts with y ≤,
So we can cross out answer choices C. and D.
And the slope is 1/2 because that’s how far away each points are from each other.
So the inequality is y ≤ 1/2x + 3
Look at the image below.
If the smallest angle of rotation for a regular polygon is 10", how many sides does polygon have?
10
12
20
Answer:
Total number of side of regular polygon = 36
Step-by-step explanation:
Given:
Angle of rotation (regular polygon) = 10°
Find:
Total number of side of regular polygon
Computation:
Total number of side of regular polygon = 360° / Angle of rotation (regular polygon)
Total number of side of regular polygon = 360° / 10°
Total number of side of regular polygon = 36
Circle O has a circumference of approximately 250 pi ft.
What is the approximate length of the diameter, d?
O 40 ft
80 ft
0 125 ft
d
250 ft
Answer:
(D)250 ft
Step-by-step explanation:
Circumference of Circle O [tex]= 250\pi ft[/tex]
For a circle of diameter d, Circumference = [tex]\pi d[/tex]
Therefore:
[tex]\pi d = 250 \pi\\d \approx 250$ ft[/tex]
The approximate length of the diameter, d is 250 ft.
The correct option is D.
What is the inverse of the function f(x) = 2x + 1?
1
o h(x) = 5x-
2x +
O h(x) = 1
3x-2
N/" Nr
Oh(x) =
O h(x) = x + 2
Answer:
[tex]f^{-1}[/tex] (x) = [tex]\frac{x-1}{2}[/tex]
Step-by-step explanation:
let y = f(x) and rearrange making x the subject, that is
y = 2x + 1 ( subtract 1 from both sides )
y - 1 = 2x ( divide both sides by 2 )
[tex]\frac{y-1}{2}[/tex] = x
Change y back into terms of x with x = [tex]f^{-1}[/tex] (x) , so
[tex]f^{-1}[/tex] (x) = [tex]\frac{x-1}{2}[/tex]
Answer: " f⁻¹(x) = (x-1)/2 "; or, write as:
___________________________________
" f⁻¹(x) = (x/2) - (1/2) " .
___________________________________
Step-by-step explanation:
___________________________________
Given: f(x) = 2x + 1 ; Find the inverse:
___________________________________
1) Rewrite as y = 2x + 1 ;
2) Replace the "x" with "y" ; and the "y" with "x" ; and rewrite:
x = 2y + 1 ;
3) Now, "solve"; with "y" standing alone as a single, isolated variable on the left side of the equation, with an "equals" sign following the "y" :
x = 2y + 1 :
Subtract "1" from each side of the equation:
x - 1 = 2y + 1 - 1 ;
to get:
x - 1 = 2y ;
___________________________________
↔ Rewrite as :
2y = x - 1 ;
Now, divide each side of the equation by "2" ;
to isolate "y" on the left-hand side of the equation;
& to solve in terms of "y":
___________________________________
2y / 2 = (x-1)/2 ;
___________________________________
to get:
y = (x-1)/2 ;
or; write as: y = (x/2) - (1/2);
___________________________________
Now, rewrite; by replacing the "y" with "f⁻¹(x) "; as follows (to indicate that this is the "inverse function"):
___________________________________
f⁻¹(x) = (x-1)/2 ; or, write as:
___________________________________
f⁻¹(x) = (x/2) - (1/2) .
___________________________________
Hope this is helpful to you!
Best wishes!
___________________________________