Answers
Answer:
t=0 or t=-1/2
Step-by-step explanation:
Solve for t over the real numbers:
t (2 t + 1) = 0
Split into two equations:
t = 0 or 2 t + 1 = 0
Subtract 1 from both sides:
t = 0 or 2 t = -1
Divide both sides by 2:
Answer: |
| t = 0 or t = -1/2
Related Questions
A cone and sphere have the same volume. The height of the cone is 96 units. What could the values of the radius of the cone and sphere? Round answers to nearest hundredth.
Answers
Answer:
r=24
Step-by-step explanation:
[tex]\pi r^2\frac{96}{3} = \frac{4}{3} \pi r^3\\r = 24[/tex]
The values of the radius of the cone and sphere is 24 units.
What is the volume of a cone?The volume of a cone is the amount of space occupied by a cone in a three-dimensional plane. A cone has a circular base, which means the base is made of a radius and diameter. The volume of a cone formula is 1/3 πr²h.
Given that, the height of the cone is 96 units.
A cone and sphere have the same volume.
Volume of a sphere = Volume of a cone
4/3 πr³=1/3 πr²h
4r³=r²h
4r=96
r=24 units
Therefore, the radius is 24 units.
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What does a quadratic equation look like?
Answers
Answer:
[tex]a{x}^{2} + bx + c = 0[/tex]
Step-by-step explanation:
A quadratic equation is an equation of the second degree, meaning it contains at least one term that is squared. The standard form is ax² + bx + c = 0 with a, b, and c being constants, or numerical coefficients, and x is an unknown variable. One absolute rule is that the first constant "a" cannot be a zero.
Examples of quadratic equations include all of these:[tex]y = {x}^{2} + 3x + 1[/tex]
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1.Chest Elementary School is having a carnival to raise money for new computers and you have been volunteered to construct the cylindrical dunk tank. The tank must be 6 feet across and 7 feet high
Part A) If the dunk tank will be constructed of high-strength plastic sheets, how much plastic sheeting will you need for the sides and bottom of the tank?
Part B) What size (length and width) of rectangular sheet do you need to order for the sides assuming the tank will have only one seam? What diameter of the circle will you order of the tank?
Part C) to prevent injury to the participants, you need to cover the top edge of the tank with rubber edging. How much rubber edging do you need?
Part D)How many gallons of water are needed to fill the dunk tank to a depth of 4 feet and 8 inches to allow the participants to stand up after dunking without being underwater?
Part E)if the water flow out of the fill hose flows at 11.5 liters per minute, how many hours will it take to fill the dunk tank to the above depth
Answers
Answer:
WAKA WAKA AFRICAAAA AFRIKA BAM BAM MAMAMAMAMAMAMAMAMAM.A.
So did I get them 5 bucks?
A taco shop is offering a 20% discount on their nacho plate. The original cost of the nacho plate is $15. After applying the discount, how much would the nacho plate cost?
$10
$12
$5
$3
Answers
Answer:
3$
Step-by-step explanation:
To find percentage on a discount like this all you have to do is multiply the pre-discount number by your discount percentage.
So all you have to do is:
15 x 0.20
which gives you an answer of 3.
Thus the post-discount amount is $3.
There were 16 skittles in a bag there were 3 yellow, 4 red, 2 purple, 6 orange, and 1 green. What is the probability of pulling a red skittle (simplify your answer). The probability of a red is /
Answers
Total skittles = 16
So it will be 4/16
Simplify = 1/4
Helppppp
A coin is weighted so that the probability of getting heads is Suppose you toss this coin 15 times. Let X
represent the number of heads. What are the mean and standard deviation of X?
= 0.67.00.88
H-7.50 -2.33
H-7.50 -3.23
10, 1.83
Answers
Answer:
C) 10, 1.83
Step-by-step explanation:
Answer:
should be D) = 10, = 1.83
Step-by-step explanation:
guessed it right, edge 23
2.
Which expression is equivalent to Xy 2/9
Answers
Answer:
4/18 or divide both by anything or times it
Step-by-step explanation:
Let X denote the number of alpha particles emitted by a sample of Barium-133 in one tenth of a second. The following 50 observations of X were taken with a Geiger counter in a fixed position:
7 4 3 6 4 4 5 3 5 3
5 5 3 2 5 4 3 3 7 6
6 4 3 11 9 6 7 4 5 4
7 3 2 8 6 7 4 1 9 8
4 8 9 3 9 7 7 9 3 10
The experimenter is interested in determining whether X has a Poisson distribution.
a. What is λMLE for the parameter λ of a Poisson distribution? Compute λMLE for the above data.
b. Partition the set of outcomes for this experiment into the sets A1 = {0, 1, 2, 3}, A2 = {4}, A3 = {5}, A4 = {6}, A5 = {7}, and A6 = {8,9,10,...}. Assuming X ∼ Poisson(λMLE), compute P(X ∈ Ai) for i = 1,...,6.
c. Use a Chi-square test with the above partition to test:
H0 : X ∼ Poisson(λMLE),
H1 : X ∼/ Poisson(λMLE).
Answers
Answer:
can you further elaborate with a picture?
Step-by-step explanation:
The amount of workers varies inversely with the time, in days, to complete a project. Five workers can complete a certain project in 24 days. How many workers will be needed to complete the project in 15 days?
Answers
9514 1404 393
Answer:
8
Step-by-step explanation:
The number of days has gone down by a factor of 15/24. The number of workers is inversely proportional, so must increase by a factor of 24/15 = 8/5.
(5 workers) × (8/5) = 8 workers
8 workers are needed to complete the project in 15 days.
A small box measures 4 in.by 3in. by 3/4 in. high. Find the volume of the box
Answers
Answer:
V=e^3
Step-by-step explanation:
5 Show
for
on the number line below.
7/5 - 5/5 on the number line
Answers
Answer:
2/5
<|----|----O----|----|----|----|----|----|-> *scale of 1/5 per |
0 1/5 2/5 3/5 4/5 5/5 6/5 7/5
Step-by-step explanation:
7/5 - 5/5 = 2/5
Determine which of the following are solutions to the equation below.
Answers
Answer:
Option c) +/- √14
Step-by-step explanation:
+/- √14² = 14
Answer:
c
Step-by-step explanation:
c. +/-radical 14 this answer of x square = 14
Parallel slope of line x-7y=7
Answers
Answer:
The slope would be x/y so really the b value could be anything if you leave the slope the same. Hope this helps!
Step-by-step explanation:
x - 7y = 7
-7y = -x + 7
7y = x - 7
y = x/7 - 1
Most water-treatment facilities monitor the quality of their drinking water on an hourly basis. One variable monitored is pH, which measures the degree of alkalinity of acidity in the water. A pH below 7.0 is acidic, one above 7.0 is alkaline, and a pH is 7.0 is neutral. One water-treatment plant has a target pH of 8.5. The mean and standard deviation of 1 hour's test results, based on 17 water samples at this plant, are 8.42 and 0.16, respectively. (a) Set up the null and alternative hypotheses to test whether the mean pH value mu of the water from the plant differs from 8.5. (b) What test statistic should be used based on the available sample information
Answers
Answer:
a) The null hypothesis is [tex]H_{0}: \mu = 8.5[/tex] and the alternate hypothesis is [tex]H_{a}: \mu \neq 8.5[/tex]
b) A test statistic of -2.06 should be used.
Step-by-step explanation:
Question a:
One water-treatment plant has a target pH of 8.5.
At the null hypothesis, we test if the mean is close to the target. So, the null hypothesis is:
[tex]H_{0}: \mu = 8.5[/tex]
At the alternate hypothesis, we test if it differs from 8.5, so the alternate hypothesis is:
[tex]H_{a}: \mu \neq 8.5[/tex]
Question b:
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
8.5 is tested at the null hypothesis:
This means that [tex]\mu = 8.5[/tex]
The mean and standard deviation of 1 hour's test results, based on 17 water samples at this plant, are 8.42 and 0.16, respectively.
This means that [tex]n = 17, X = 8.42, \sigma = 0.16[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{8.42 - 8.5}{\frac{0.16}{\sqrt{17}}}[/tex]
[tex]z = -2.06[/tex]
A test statistic of -2.06 should be used.
What is the volume of the tank?
Answers
Answer:
find the area of the base which is as circle
Base area = pi * R^2 = 3.14 * 400 = 1256
now find the volume by multiplying the base and the height of the tank
Volume = 1256*35= 43960
Let f(x) = 5x ^ 4 - 2x ^ 2 - 8x + 3 and g(x) = - 7x ^ 4 + 6x ^ 3 + 10x ^ 2 - x + 4. What is f(x) + g(x) ?
Answers
[tex]f(x) + g(x) = - 2 {x}^{4} + 6 {x}^{3} + 8{x}^{2} - 9x + 7[/tex]
B. Evaluate
a) [ (-48) ÷ 12 ] ÷ 4
b) [ (-16) +6 ] ÷ [(-2) +1 ]
c) 0 ÷ (-15)
Answers
Answer:
A. -1
B.10
C.0
Step-by-step explanation:
Use calculator*
follow my channel it's my dream to be famous :)
Answers
Answer:
OK Please mark me brailiest to follow your channel.
Quadrilateral ABCD is similar to quadrilateral A'B'C'D'.
Select all statements that must be true.
Answers
Step-by-step explanation:
the third Statement is true, fourth statement is trueand the fifth statement is also true because basically we need to find linear scale factor
Options 2nd, 3rd and 4th are correct options.
What are similar objects?Two objects are similar if they have the same shape, or one has the same shape as the mirror image of the other.
Given that, Quadrilateral ABCD is similar to quadrilateral A'B'C'D'.
As we know, in similar objects, the ratio of corresponding sides are equal.
Therefore, AB/A'B' = BC/B'C' = CD/C'D' = AD/A'D'
Hence, Options 2nd, 3rd and 4th are correct options.
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hillary paid 8$ for 12 dounts. what is the approximate unit cost for each donut
Answers
Answer:
Step-by-step explanation:
You have to multiply 8 times 12 and that is 96
Answer:
$1.50
Step-by-step explanation:
12÷8
The average score of all golfers for a particular course has a mean of 64 and a standard deviation of 3.5 suppose 49 golfers played the course today find the average score of the 49 golfers exceeded 65 round to four decimal places
Answers
Answer:
0.3897
Step-by-step explanation: i g o o g l e it
Mary wants to fill in a cylinder vase. At the flower store they told her that the vase should be filled 2/3 for the flowers to last the longest. Her cylinder vase has a radius of 3in and a height of 8in. How much water should Mary pour into the vase?
Answers
the answer is 24 water pour into the vase
whats the answer???? will mark brainlest
no files
Answers
Answer: 18 0/1
Step-by-step explanation:
If a group of distinct objects can be arranged in 120 different ways, how many objects are there?
O A.
3
OB.
4
O C.
5
OD.
6
Reset
Next
Answers
Answer:
OD. 6
Step-by-step explanation:
Which shape has 4 lines of symetry?
A. Equilateral Triangle
B. Thin rhombus
C. rectangle
D. rhombus that is thick as a sqaure
Answers
Answer:
My best answer would be D since a square is not on here
Step-by-step explanation:
square
So the square has four lines of symmetry.
The rectangle has only two, as it can be folded in half horizontally or vertically
an equilateral triangle has three lines of symmetry.
Answered by; The One and Only #DRIPPQUEENMO
PLEASEEEEE HELPPPPPPPP
Answers
Answer:
2 and 4 has no soulotions, and C has one
Step-by-step explanation:
Solve for x:
y = a + cx
Answers
Answer:
[tex]\large{x=\frac{y-a}{c}}[/tex]
Simplified
[tex]\large{x=\frac{y}{c}-\frac{a}{c}}[/tex]
You can either choose simplified or the first one. Both solutions work.
Step-by-step explanation:
First, we have to isolate x-term.
[tex]\large{y=a+cx}[/tex]
This form of equation is called "Literal Equation" where y-term is currently isolated. Now we are going to isolate x-term by subtracting both sides by a-term.
[tex]\large{y-a=a+cx-a}\\\large{y-a=cx}[/tex]
We can say that we simply move the term to the another side and change the sign to the opposite (From plus to minus)
The next thing we are going to do is to divide the whole equation by c-term. Remember, we do not just divide y-term or a-term. We divide the whole expression.
[tex]\large{\frac{y-a}{c}=\frac{cx}{c}}\\\large{\frac{y-a}{c}=x}[/tex]
Finally, the x-term is isolated and thus been solved.
The form of [tex]\large{\frac{y-a}{c}}[/tex] can be simplified to [tex]\large{\frac{y}{c}-\frac{a}{c}}[/tex]
Answer:
x = [tex]\frac{y-a}{c}[/tex]
Step-by-step explanation:
subtract 'a' first
divide by 'c' second
What are the solutions of the following equation?
Answers
Answer:
D. x = 7 and x = 14
Step-by-step explanation:
this is a quadratic equation, so use the quadratic formula: (-b+-√b^2-4ac) / 2a for ax^2+bx+c=0
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Find the value of z.
800
1930
1120
2
z = [? ]°
Answers
Answer:
Z is 87
Step-by-step explanation:
X+ 112 is the intercepted Arc of Angle 93- the arc measure is 2*93= 186
the intercepted arc of angle z is 360- 186= 174
half the arc measure of Z is the measure of angle Z 174/2= 87
The sum of the interior angle measures of a convex polygon is 2520° . How many sides does it have?
Answers
Answer:
16
Step-by-step explanation:
number of sides = (sum of interior angles / 180) + 2
(2520 / 180) + 2 = 16 sides
