Answer:
Simplify the following:
sqrt(-50)
sqrt(-50) = sqrt(-1) sqrt(50) = i sqrt(50):
Answer: i sqrt(50)
Step-by-step explanation:
What is the lateral area of the cone
A hurricane wiped out 40% of the wild rats in a coastal city. Then, a disease spread through stagnant water killing 20% of the rats that survived the hurricane. What percentage of the original population of rats is left after these 2 events
After the hurricane and the disease, 48% of the original population of rats is left.
We have,
After the hurricane, 40% of the rats were wiped out, which means
100% - 40% = 60% of the rats survived.
Then, after the disease spread through stagnant water, 20% of the remaining rats were killed.
This means 100% - 20% = 80% of the rats that survived the hurricane are still left.
To find the percentage of the original population of rats that is left after both events, we multiply the percentages:
Percentage left = 60% * 80% = 0.6 * 0.8 = 0.48
Finally, we convert the decimal value back to a percentage:
Percentage left = 0.48 * 100% = 48%
Therefore,
After the hurricane and the disease, 48% of the original population of rats is left.
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Find the value of x to the nearest tenth.
Answer:
x ≈ 16.2
Step-by-step explanation:
tan56° = [tex]\frac{24}{x}[/tex] ( multiply both sides by x )
x × tan56° = 24 ( divide both sides by tan56° )
x = [tex]\frac{24}{tan56}[/tex] ≈ 16.2 ( to the nearest tenth )
Given the graph of the function f(x), find each of the following.
† y
a. f(-4) 2
b.
f(0) O
C.
f (2) -1
d. f (5) -1
Answer:
a) 2 ; b) 0; c) -2 ; d) -1
Step-by-step explanation:
a) f(-4)=2 ;
b) f(0)=0;
c) f(2)= -2 ;
d) f(5)= -1
Graph =−2+5 y = − 2 x + 5 and =−12−3 y = − 1 2 x − 3 . Are the lines parallel, perpendicular, or neither?
Answer:
They are neither,they intersect but not at a 90 degree angleStep-by-step
explanation: hope this helps :)
A rectangular painting has a length of 24 inches and a width of 7 inches. What is the length of the diagonal of the painting in inches? Enter your answer in the box.
Answer: 25 inches
Step-by-step explanation:
24² + 7² = 625
Square root of 625 = 25
Which point is located at - 1/6
Answer:
Point C
Step-by-step explanation:
it is negative, so we can already eliminate points A and B so which leaves us with C and D. It is a fraction that is greater than -1 so that eliminates point D, so the remaining point is our final answer.
Answer:
Point C
Step-by-step explanation:
Step 1: What point is located at -1/6
We can see that the arrow pointing up showcases us going positive and the arrow pointing down showcases us going negative. 0 gives us the middle point between negatives and positives. We can see that there are 6 ticks between each whole number. Therefore, if we go 1/6 of a tick down in the negative direction we would get point C.
Answer: Point C
Please help!!!!!
Two chords intersect within a circle to form an angle whose measure is 53 degrees. If the intercepted arcs are represented by 3x + 3 and 10x -14, find the measure of the LARGER of these two arcs.
A. 106
B. 76
C. 9
D. 30
Answer:
76degrees
Step-by-step explanation:
Using the theorem which states that the vertex of the angle inside a circle is half the sum of the measured intercepted arcs. Hence;
Angle at the vertex = 53 degrees
Half the sum of intercepted arcs = 1/2(3x+3+10x-14)
Half the sum of intercepted arcs = 1/2(13x-11)
Equating to the vertex to find x
1/2(13x-11) = 53
13x - 11 = 2 * 53
13x - 11 = 106
13x = 106 + 11
13x = 117
x = 117/13
x = 9
For the arc 3x + 3
= 3(9) + 3
= 27 + 3
= 30degrees
For the arc 10x - 14
= 10(9) - 14
= 90 - 14
= 76degrees
Hence the measure of the larger of the two arcs is 76degrees
If x-3=6, what is the value of x?
Group of answer choices
x=2
x=3
x=6
x=9
Answer:
x=9
Step-by-step explanation:
9-6=3
equivalent expression to −5.55−8.55c+4.35c
HELP I REALLY NEED HELPPPPP
Answer:
100 degrees
Step-by-step explanation:
On the opening day, a restaurant offers free drinks and desserts to all the customers. A customer can choose from apple juice, orange juice, grape juice, and cranberry juice. He can choose from ice cream, cake, and pudding as desserts. How many different juice-dessert combinations are possible?
15
24
12
7
Answer: 12
Step-by-step explanation:
Juice 4 multiplied by Dessert 3
What is an equation of the line that passes through the points (−3,−4) and (-4, -6)
Answer:
[tex]\Large\boxed{\sf{y=2x+2}}[/tex]Step-by-step explanation:
Use the slope formula.
SLOPE FORMULA:
[tex]\Rightarrow: \sf{\dfrac{y_2-y_1}{x_2-x_1}}[/tex]
[tex]:\Longrightarrow \sf{\dfrac{-6-\left(-4\right)}{-4-\left(-3\right)}}[/tex]
Solve.
[tex]\sf{\dfrac{-6-\left(-4\right)}{-4-\left(-3\right)}=\dfrac{-6+4}{-4+3}=\dfrac{-2}{-1}=2}[/tex]
The slope is 2.
Use the slope-intercept form.
SLOPE-INTERCEPT FORM:
[tex]\sf{y=mx+b}[/tex]
X=slopeB=y-intercept.The y-intercept is 2.y=2x+2
Therefore, the final answer is y=2x+2.I hope this helps, let me know if you have any questions.
[tex]\text{Given that,}\\\\(x_1,y_1) =(-3,-4)~~ \text{and}~~ (x_2,y_2) = (-4,-6)\\\\\text{Slope,}~m = \dfrac{y_2 -y_1}{x_2 -x_1} = \dfrac{-6+4}{-4+3} = \dfrac{-2}{-1} =2\\ \\\text{Equation of line,}\\\\~~~~~y-y_1 = m(x-x_1)\\\\\implies y+4=2(x+3)\\\\\implies y =2x+6-4\\ \\\implies y= 2x+2[/tex]
Find the solution of the system of equations.
x-y=-3
-8x+y=45
Answer:
x = 17, y = 28
Step-by-step explanation:
1. Isolate for x in "x - y = -3, -8":
x - y+y = -3, -8+y
x = -11 + y
2. Substitute "x = -11 + y" in for x in the second expression:
-11 + y + y = 45
3. Simplify:
-11 + 2y = 45
4. Isolate y:
-11+11 +2y = 45+11
2y = 56
[tex]\frac{2y}{2} = \frac{56}{2}[/tex]
y = 28
5. Substitute the new y-value into the first equation:
x = -11 + 28
x = 17
hope this helps!
what is the volume of the triangular prism
A) 12 cm
B) 18
C) 24
D) 48
PLS HELP ITS ONLY ONE QUESTION
Directions: use your knowledge of the Cartesian Coordinate System to answer the following questions.
How are the four sections marked?
Answer:
Four sections (or called quadrants)are marked in Roman numerals I, II, III, IV
Hope it helps.
Please help me, I feel so idiotic right now
Answer:
a) $8.80
b) 40%
Step-by-step explanation:
Part (a)
Given:
Original price = $22Discounted price = $13.20Original price - discounted price
= $22 - $13.20
= $8.80
Part (b)
percentage = (amount discounted ÷ original price) x 100
= (8.80 ÷ 22) x 100
= 40%
If you flipped a fair coin 18 times, about how many times would you expect heads to appear? please ansewr i need help
Answer:
1/2, or around 9 times
Step-by-step explanation:
since a fair coin has 2 sides, that makes you have 2 possible outcomes. Heads and tails, 2 sides, makes it 50-50 so you would expect to get around 9 heads because 50% or 1/2 of 18 is 9. Hope this helps
A fair die is rolled 5 times. What is the probability of having no 1 and no 4 among the rolls? Round your answer to three decimal places.
Answer:
0.132
Step-by-step explanation:
Rolling a die is an independent event.
Chance of not rolling a 1 or 4 is 4/6 or 2/3
[tex]\frac{2}{3} ^5 = \frac{32}{243} = 0.13168[/tex]
What is the area of the trapezoid?
WILL MARK BRAINLYEST
Answer:
126 in^2
Step-by-step explanation:
A=[tex]\frac{a+b}{2} h=\frac{8+20}{2}(9)=126[/tex]
A pistol is accidentally discharged vertically upward at a height of 3 feet
above the ground. If the bullet has an initial muzzle velocity of 200 feet
per second the path of the bullet is modeled by
h (t) = -16t² + 200t + 3.
A. How long does it take for the bullet to reach its maximum height.
Round to nearest hundredth.
B. What is the maximum height?
C. How long will it take for it to hit the ground?
D. When will the bullet be 403 feet above the ground?
The maximum height the bullet will reach is 627 ft. The time(from the point when bullet was fired) it will take the bullet to hit the ground is 12.51 sec approx. The time when the bullet will be 403 ft above the ground are 2.475 sec and 10.02 sec approx.
How to obtain the maximum value of a function?To find the maximum of a continuous and twice differentiable function f(x), we can firstly differentiate it with respect to x and equating it to 0 will give us critical points.
Putting those values of x in the second rate of function, if results in negative output, then at that point, there is maxima. If the output is positive then its minima and if its 0, then we will have to find the third derivative (if it exists) and so on.
For this case, the height of the bullet from the ground is modeled by the equation:
[tex]h(t) = -16t^2 + 200t + 3[/tex]
where height is in meters and time is in seconds. And t is the time in seconds passed from the point of time when the bullet was fired.
A) Finding maximum height reached by the bullet:Finding its first and second rate with respect to the variable 't', we get:
[tex]\dfrac{d(h(t))}{dt} = h'(t) = -32t + 200\\\\\dfrac{d^2(h(t))}{dt^2} = h''(t) = -32 < 0[/tex]
Thus, the second rate is negative no matter what the value of 't' is. So all the critical points would be corresponding to maxima.
Now, finding the critical points by equating the first rate = 0, we get:
[tex]h'(t) = 0\\\\-32t + 200 = 0\\\\t = \dfrac{200}{32} = 6.25 \: \rm sec.[/tex]
Due to only one critical point, and that each critical point is maxima, we have the value of h(t) globally maximum when t = 6.25
Putting t = 6.25 in the function h(t), we get the maximum height achieved by the bullet as:
[tex]h(t) = -16t^2 + 200t + 3\\h(6.5) = -16(6.5)^2 + 200(6.5) + 3 = 627 \: \rm ft[/tex]
B) Finding the time it will take the bullet to fall on the groundWhen the bullet will fall on the ground, the value of h(t) would be 0.
Putting h(t) = 0, and finding the values of 't' for which this is true, we get:
[tex]h(t) = -16t^2 + 200t + 3\\0 = -16t^2 + 200t + 3\\\\16t^2 -200t -3 =0\\\\t = \dfrac{-(-200) \pm \sqrt{ (-200)^2 - 4(16)(-3)}}{2(16)}\\\\t \approx \dfrac{200 \pm 200.479}{32}\\\\t \approx -0.0149 \: \rm sec., t \approx 12.51 \: sec.[/tex]
Bullet will fall only after it is shot, so time taken for the bullet to fall compared to the time when its shot would be greater, so time passed (t here) would be positive.
Thus, at approx t = 12.51 sec, the bullet will fall on the ground.
C) When will the bullet be at 400 ft of height from the ground?At t = 0, bullet was at 3 ft, and therefore, whenever bullet will reach 400 ft, the time t would be > 0.
Putting h(t) = 400, we get:
[tex]h(t) = -16t^2 + 200t + 3\\400 = -16t^2 + 200t + 3\\\\16t^2 -200t +397 =0\\\\t = \dfrac{-(-200) \pm \sqrt{ (-200)^2 - 4(16)(397)}}{2(16)}\\\\t \approx \dfrac{200 \pm 120.797}{32}\\\\t \approx 2.475\: \rm sec., t \approx 10.02\: sec.[/tex]
These both values are true. The time when t = 2.475 approx, the bullet would be going up, passing by 400 ft height, and when t = 10.02 approx, the bullet would be coming down, passing by 400 ft height.
Thus, the maximum height the bullet will reach is 627 ft. The time(from the point when bullet was fired) it will take the bullet to hit the ground is 12.51 sec approx. The time when the bullet will be 403 ft above the ground are 2.475 sec and 10.02 sec approx.
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If one end of a line segment is (4, 4) and midpoint is (-2,2), find the co-ordinates of the other end.
Answer:
-8,0
Step-by-step explanation:
From one end of a segment to the midpoint, it takes -6x to get to the midpoint. Based on that, you can go another 6 over the y graph and get -8 for x.
For y, the segment goes from 4 to 2 (a -2 over the x graph). you can infer then that the other end will be 0.
How can i find the circumference of a circle if I already know it's area?
Answer:
With the area you can find the radius and then substitute the radius in the circumference formula
Simplify the following expression
(x^0 y^2/3 z^-2)^3/2 divided by (x^2z^1/2)^-6
[tex]\dfrac{\left(x^0 y^{\tfrac 23} z^{-2} \right)^{\tfrac 32}}{\left(x^2 z^{\tfrac 12} \right)^{-6}}\\\\\\=\dfrac{1\cdot \left( y^{\tfrac 23}\right)^{\tfrac 32} \cdot \left(z^{-2} \right)^{\tfrac 32}}{\left(x^2 \right)^{-6} \cdot \left( z^{\tfrac 12} \right)^{-6}}~~~~~~~~~~~~~~~~~~;\left[(ab)^m = a^m b^m\right]\\\\\\=\dfrac{y^{1} \cdot z^{-3}}{x^{-12} \cdot z^{-3}}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~;\left[(a^m)^n = a^{mn}\right]\\\\\\=\dfrac{y}{x^{-12}}\\\\\\[/tex]
[tex]=\dfrac{y}{\tfrac 1{x^{12}}}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~;\left[a^{-m} = \dfrac 1{a^m} } \right]\\\\\\=yx^{12}[/tex]
-
Solve the system of equations – 2z – 2y = -24 and 3z – 2y = -33 by
combining the equations.
-
( 2z -2y =-24)
– 32 -2y =-33)
-
-
-22 -2y = -24
-32 -2y -33
0 - 0 Y=
You must answer all questions above in order to submit.
P
Answer:
z = -1.8, y = 10.2
Step-by-step explanation:
- 2z -2y = -24 (EQ 1)
3z - 2y = -33 (EQ 2)
Change one of the equations to it's opposite (Turning a negative number to a positive/or the other way around)
Let's target the equation that can leave us with the simplest question to solve
-2z + -2y = -24
-3z + 2y = 33
-5z = 9
(Dividing and switching the negative sign over)
z = -1.8
Plug in Z to solve for y.
-2(-1.8) - 2y = -24
3.6 - 2y = -24
-2y = -20.4
y = 10.4
PLease help me w this q.8
Answer:
B
Step-by-step explanation:
Angle 1 and angle 3 are alternate interior angles.
write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator.
28:7
Answer:
[tex] \frac{4}{1} [/tex]
Step-by-step explanation:
[tex]writing \: as \: a \: fraction \: the \\ numerator = 28 \\ denominator = 7 \\ as \: a \: fraction \: it \: is \: \: \frac{28}{7} \\ dividing \: numerator \: and \: denominator \: by \: four \\ = \frac{4}{1} \\ hope \: this \: helps \\ please \: rate \: and \: mark \: brainliest[/tex]
What is the volume of a sphere with a radius of 9.1 ft, rounded to the nearest tenth of a cubic foot?
The volume of the sphere with a radius of 9.1ft is 3256.55cubic feet.
We have given that, the radius of the sphere is 9.1ft.
We have to determine the volume of the sphere
What is the formula for the volume of the sphere?The volume of the sphere is given by
[tex]V=\frac{4}{3}\pi r^3[/tex]
r is the radius of the sphere
V- is the volume of the sphere
So use the given value in the formula so that,
[tex]V=\frac{4}{3}\pi (9.1)^3[/tex]
[tex]V=3156.55082 ft^3[/tex]
Therefore the volume of the sphere with a radius of 9.1ft is 3256.55cubic feet.
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Answer:3156.6
Step-by-step explanation:
please help me find the answe asap
Answer:
B
Step-by-step explanation:
the mean is calculated as
mean = [tex]\frac{sum}{count}[/tex]
this year's mean = [tex]\frac{7+3.3+2}{3}[/tex] = [tex]\frac{12.3}{3}[/tex] = 4.1
last year's mean = [tex]\frac{5.3+1.6+2.4}{3}[/tex] = [tex]\frac{9.3}{3}[/tex] = 3.1
difference = 4.1 - 3.1 = 1
Solve. 5y + 42 − y = 34
Answer:
The answer is y= -2
Step-by-step explanation:
(Arrange according to the like terms first)
5y-y+42= 34
4y+ 42-34= 0
4y+ 8= 0
4y= -8
∴ y= -8/4=-2
So, y= -2
Hope it will help.
Answer:
y = -2
Step-by-step explanation:
question : 5y + 42 − y = 34
⇒ 5y + 42 − y = 34
•shifting the +42 to the right side :
⇒ 5y - y = 34 - 42
⇒ 4y = -8
•shifting the 4 to the right side :
⇒ y = -8/4
⇒ y = -2 Answer...
hope that helps...