Answer:
x= -18 y=-5/3
Step-by-step explanation:
Answer:
x = -10
y = -3
Step-by-step explanation:
When combining the equations, we must ensure that one of the two variables will cancel out. The easiest way to do this will be to multiply one of the equations by -1, such that the x will cancel out once they are added together. This can be done with either equation, but I will do it for the first one.
This gives us the system:
[tex]\left \{ {{-x-2y=16} \atop {x+6y=-28}} \right.[/tex]
We can then add the two equations by combining each of the terms:
[tex](x - x) + (6y - 2y) = (-28 + 16)\\(0) + (4y) = (-12)\\4y = -12\\y = -3[/tex]
Now that we have the value for y, we substitute it back into any of the original equations and solve for x:
[tex]x + 2y = -16\\x + 2(-3) = -16\\x - 6 = -16\\x = -10[/tex]
To check our work, we substitute both x and y into the other original equation:
[tex]x + 6y = -28\\(-10) + 6(-3) = -28\\-10 - 18 = -28\\-28 = -28[/tex]
The table shows the number of points scored by players on a basketball team.
a. Find the range and interquartile range of the data.
21,53,74,82,84,93,103,108,116,122,193(table)
The range is
points.
The interquartile range is
points.
Answer:
Given data:
21, 53, 74, 82, 84, 93, 103, 108, 116, 122, 193The range:
193 - 21 = 172The IQR is the difference of Q3 and Q1:
Q3 = 116, the median of upper half of dataQ1 = 74, the median of lower half of dataIQR = 116 - 74 = 42The velocity of a particle moving along a line is given by v(t) = e ^ t * sin(e ^ t) the interval 0<= t<= pi 2 . What is the distance that the particle traveled on this time interval?
Answer:
0.44237 units
Step-by-step explanation:
Given
[tex]v(t) = e^t*sin(e^t)[/tex]
[tex]0 \le t \le \frac{\pi}{2}[/tex]
Required
The distance traveled in this interval
We have:
[tex]v(t) = e^t*sin(e^t)[/tex]
The distance is calculated as:
[tex]d(t) = \int\limits^a_b {v(t)} \, dt[/tex]
So, we have:
[tex]d(t) = \int\limits^{\frac{\pi}{2}}_0 {e^t*sin(e^t)} \, dt[/tex]
Let:
[tex]u = e^t[/tex]
Differentiate
[tex]\frac{du}{dt} = e^t[/tex]
So:
[tex]dt = e^{-t} du[/tex]
So, we have:
[tex]d(t) = \int\limits^{\frac{\pi}{2}}_0 {e^t*sin(e^t)} \, dt[/tex]
[tex]d(t) = \int\limits^{\frac{\pi}{2}}_0 {e^t*sin(u)} \, e^{-t} du[/tex]
Rewrite as:
[tex]d(t) = \int\limits^{\frac{\pi}{2}}_0 {e^t* e^{-t}*sin(u)} \, du[/tex]
[tex]d(t) = \int\limits^{\frac{\pi}{2}}_0 {sin(u)} \, du[/tex]
Integrate:
[tex]d(t) = -\cos(u)|\limits^{\frac{\pi}{2}}_0[/tex]
Substitute [tex]u = e^t[/tex]
[tex]d(t) = -\cos(e^t)|\limits^{\frac{\pi}{2}}_0[/tex]
Split
[tex]d(t) = -\cos(e^\frac{\pi}{2}) - [-\cos(e^0)][/tex]
[tex]d(t) = -\cos(e^\frac{\pi}{2}) +\cos(e^0)[/tex]
[tex]d(t) = -0.09793 + 0.5403[/tex]
[tex]d(t) = 0.44237[/tex]
The distance traveled in this interval is: 0.44237 units
dt =
d(t) = \int\limits^2_0 {e^t*sin(e^t)} \, dt
BRAINLIEST IS ON THE LINE!!!!!!!!!!!!!!!!!!!!!!
Answer:
8/15
-3
2 1/7
-10
Step-by-step explanation:
...............
Answer:
A. 8/15
B. 36/-12 = 3/-1 (-3)
C. -15/-7 (15/7)
D. -30/3 = -10/1 (-10)
Step-by-step explanation:
To find the quotient of two fractions, change the equation from division to multiplication.
Each time you divide fractions, remember this:
SAME, CHANGE, RECIPROCAL (FLIP)
For example, 2/5 ÷ 3/4
SAME: Keep 2/5 as it is.
CHANGE: Change the division to a multiplication sign.
RECIPROCAL (FLIP): Switch the numerator and denominator; 3/4 would become 4/3.
2/5 x 4/3
(Multiply the numerators and denominators).
2/5 x 4/3 = 8/15.
Now, repeat this with other equations.
9/4 ÷ -3/4
9/4 x 4/-3 = 36/-12 = 3/-1 (-3)
-5/7 ÷ -1/3
-5/7 x 3/-1 = -15/-7 = (15/7)
-5/3 ÷ 1/6
-5/3 x 6/1 = -30/3 = -10/1 (-10)
PLZ HELP
How many solutions does the equation 6p − 4p − 8 = −4 + 3 have? (5 points)
a
One
b
Two
c
None
d
Infinitely many
Answer:
D.infinitely many
try it you'll see
Fill in the blanks:
V=___W=___x=___y=___z=___
9514 1404 393
Answer:
v = 39; w = 47; x = 94; y = 39; z = 47
Step-by-step explanation:
The figure shows v° and 51° are complementary, as are z° and 43°.
v° = 90° -51° = 39°
z° = 90° -43° = 47°
Vertical angles are congruent.
y° = v° = 39°
w° = z° = 47°
And the angle x° is a vertical angle with the sum of 51° and 43°.
x° = 43° +51° = 94°
If it snows tomorrow, the probability is 05 that John will practice his trombone. If it does not snow tomorrow, there is only a 0.6 chance that John will practice. Suppose the chance of snow tomorrow is 70%. What is the probability that John will practice his trombone?
Answer:
54 percent
Step-by-step explanation:
The final probability is a weighted average of the going to play probabilities determined for each weather scenario:
P(John performs cello; provided that it rains) * P(it rains) + P(it rains) + P(it rains) + P(it rains) + P(it rains) +
If it doesn't rain, P(John plays cello) * P(it doesn't rain) =
0.54 = 0.6 * 0.7 + 0.4 * 0.3
The likelihood is 54 percent.
answer asap pls sdkfjlcsjldkjnclfakwjflkajlcsfs
Given:
The circumference of a circle is 18.
Central angle of an arc is 120 degrees.
To find:
The measure of arc length.
Solution:
The arc length of a circle is:
[tex]s=2\pi r\times \dfrac{\theta }{360^\circ}[/tex]
Where, r is the radius of the circle, [tex]\theta[/tex] is the central angle in degrees.
We know that, [tex]2\pi r[/tex] is the circumference of the circle. So, substitute [tex]2\pi r=18,\theta=120^\circ[/tex] in the above formula.
[tex]s=18\times \dfrac{120^\circ}{360^\circ}[/tex]
[tex]s=18\times \dfrac{1}{3}[/tex]
[tex]s=6[/tex]
Therefore, the length of the arc is 6 units.
Divide. (x^3 – 2x – 3) ÷ (x + 3)
x
2
−
3
x
+
7
−
24
x
+
3
Step-by-step explanation: brainly plz
Answer:
[tex] = \frac{({x}^{3} - 2x - 3)}{(x + 3)} \\ rationalise \: the \: denominator \\ = \frac{({x}^{3} - 2x - 3)(x - 3)}{(x + 3)(x - 3)} \\ = \frac{( {x}^{4 } - 3 {x}^{3} - {2x}^{2} + 6x - 3x + 9) }{( {x}^{2} - {3}^{2}) } \\ = \frac{( {x}^{4} - {3x}^{3} - {2x}^{2} + 3x + 9)}{( {x}^{2} - 9) } [/tex]
Can someone please answer this question I don’t have much time
Answer and Step-by-step explanation:
The top right shape is the correct option.
It contains a triangle and a rectangle, in which she can use the formulas to solve for their areas.
#teamtrees #PAW (Plant And Water)
Answer: Number 2 is correct. It divides the trapezoid into a square (rectangle) and 2 triangles which is equivalent to the whole trapezoid.
Find the perimeter of the square with an area of 64 square feet using the equation P = 4s.
Answer:
32 ft
Step-by-step explanation:
s = number of sides
Area of a square = s²
64 = s²
[tex]\sqrt{64}[/tex] = s²
8 = s
P = 4s
P = 4(8)
P = 32
Answer:
P = 64
Step-by-step explanation:
Area ÷ 4 = One side length = 16
16 x 4 = 64
The area of a tablecloth is 108 square feet.
The width is 9 feet. What is the perimeter
of the tablecloth?
Answer:
12
Step-by-step explanation:
Lines a and b are parallel. What is the measure of angle s? NEED HELP ASAP
22°
158°
There are 70 dogs and 55 cats at the shelter. 15 of these animals get adopted . What is the percent of the animals that got adopted
Answer: 12%
Step-by-step explanation:
Given
There are 70 dogs and 55 cats at the shelter
If 15 animals are adopted
Total no of animals =70+55=125
Percent of animals adopted is given by
[tex]\Rightarrow \dfrac{\text{Animals adopted}}{\text{Total animals}}\times 100\\\\\Rightarrow \dfrac{15}{125}\times 100=12\%[/tex]
Warm-Up
Volume
Match each type of measurement with units that could be used to express it.
Perimeter
Area
inches
cubic feet
cubic meters
square units
Sq.ft
Step-by-step explanation:
volume is cubic feet and cubic meters
area is square feet and square units
perimeter is inches
The figure below is a parallelogram. Find the value of x.
Answer:
13
Step-by-step explanation:
8x-6 = 98 and solve from there to get 13
help <33 PLEASR PLEASE
Answer:
104.06 m^2
Step-by-step explanation:
Area of square
22 X 22 = 484 m^2
Area of circle
3.14r^2
radius = 22/2
radius = 11
3.14* 11^2 = 379.94
484 - 379.94 = 104.06
If a rock weighs 3.24 pounds on Saturn, what will it weigh on Earth?
Answer:
weight on saturn = (weight on earth/9.8) x 10.44
So,
3.24 = (x/9.8) x 10.44
0.3103 = x/9.8
x = 3.0409
The rock would weigh 3.0409 pounds on Earth! :)
Find the volume of the triangular prism to the right
Answer:
V = 567 ft³
Step-by-step explanation:
V = Bh
[note: a capital 'B' represents the area of the base]
The right triangle is the triangular prism's base.
Because the triangle's height (9 ft) and it's base are the same value (9 ft), we can solve to find the area.
We can identify the base easily because the base and the top of the prism are exactly the same shapeArea of triangular base:
A = [tex]\frac{bh}{2}[/tex]
A = [tex]\frac{1}{2}[/tex] (9 ⋅ 9)
A = [tex]\frac{1}{2}[/tex] (81)
A = 40.5
We have 'B' for the triangular prism's formula, so next we need 'h'. 14 ft is provided as the prism's height, so we just need to multiply 40.5 and 14 for our answer.
Volume of triangular prism:
V = Bh
V = (40.5)(14)
V = 567 ft³
Carl ordered a refrigerator that weighs 192 pounds. It was shipped to him inside a box and
surrounded by packaging material. The total weight of the refrigerator, box, and packaging
material was 205 pounds.
What is the weight of the box and packaging material?
Enter your answer in the box.
pounds
Answer:
13 pounds
Step-by-step explanation:
We know that the total weight of everything is 205 pounds, and the fridge itself is 192 pounds. So we need to calculate the weight of everything that is not a fridge, which would be:
205 - 192 = 13 pounds
That means that the box and the packaging is 13 pounds. Hope this helps!
Round 609635.782852 to the nearest thousand.
Answer:
610000
Step-by-step explanation:
Srry i misread that i thought it said round to the nearest thousandth f
After rounding the number to the nearest thousand we get 609635.783
Here,
The given number to round nearest thousand is 609635.782852
What is rounding off of a number?
Rounding off means a number is made simpler by keeping its value intact but closer to the next number.
Now,
In rounding off a number nearest thousand we can write a number up to 3 decimal places
So after rounding 609635.782852 to the nearest thousands we get,
609635.783
Learn more about the Rounding off of a number visit:
https://brainly.in/question/5838592
#SPJ2
Mario sells insurance. His goal is to sell 3 types of insurance to each family on a block. He also wants to sell more than 27 policies. If x is the number of families he needs to sell to, which pair of inequalities correctly represents this problem?
A.9x > 27
x>3
B. 9x < 27
x<3
C. 3x >27
x>3
D. 3x < 27
x<9
please helppp
When we divide both sides of the inequality,
3x > 27 by 3, 3x(3) > 27(3)
we get x > 9, as the simplified form of the inequality.
Thus, giving us the answer of:
x > 9
Answer:
Step-by-step explanation:
3x > 27
x > 9
May someone please explain how G is 125 degrees and H is 62 using ASTT,ATT theorem. Please help! Guaranteed brainliest for the first answer that is reasonable or correct!!!
Answer:
B=128
Step-by-step explanation:
because 190 - 62=128.
At a local pet store zebra fish cost $1.90 and neon tetras cost $2.15. If Mrs.Selee bought 15 fish for a total cost of $30.25, not including tax, how many of each type of fish did she buy?
Billy bought an iced tea for $1.79 and some tootsie rolls that were $0.13 each he spent a total of $2.83
Answer:
Whats the Question
Step-by-step explanation:
Answer:
I dont really understand the question but here what I got.
Step-by-step explanation:
1.73$+$0.13=1.86$
So he bought something else that cause 0.97$ to equal =2.83$
Δ ABC and ΔDEF are similar triangles. If m∠A =104∘and m∠E = 36∘, what is ∠C?
Answer:
X = 40
Step-by-step explanation:
A triangle has 180 degrees, and considering that triangle ABC is similar to DEF that means that they have the same angles (A=D, B=E, C=F)
180 = 104 + 36 + x
180 = 140 + x
180-140 = x
40 = x
f(x) =x2-10x+18 Vertex and vertex form
Answer:
b. y=( x-5) /2-7 is your answer bro
1. Devon saw that the shoes he
wanted were on sale. They
were normally $60 but were
now 20% off. How much were
the shoes after the discount?
Helppppp
Answer:
$48
Step-by-step explanation:
20%=1/5
60/5=12
60-12=48
What are the transformations?
y=(x-2)2+4 (Choose ALL that apply.)
Answer:
There is a vertical stretch when I graphed it.
Step-by-step explanation:
Hope this helps:)
Determine whether the game is fair: A jar has 10 red marbles, 6 purple marbles, and 4 turquoise marbles. Joey wins if he pulls a red marble from the jar.
A. Fair
B. Unfair
Answer:
Well actually,its fair,because he has a higher chance
Step-by-step explanation:
Nate is buying a new car. He will pay $2000 today and then $500 a month for x months.
Write an equation that can be used to find y, the total cost of the new car.
Answer:
y = 2000 + 500x
Step-by-step explanation:
2000 is the constant, because no matter how many months it takes for him to pay off the car, he has to pay the $2000 today.
And after he pays the 2000, every month he has to pay $500 until he pays the full price, so 500x stand for the months after he pays the initial $2000.
answer 2000 + 500 x M =y