Answer: 2.5, 5.3
Step-by-step explanation:
\(-16t^2 +126t=217\\ \\ 16t^2 -126t+217=0\\\\t=\frac{-(-126) \pm \sqrt{(-126)^2 -4(16)(217)}}{2(16)}\\\\t \approx 2.5, 5.3\)
−5y + 3y^2 + 2y − 2y^2 − 9 combine like terms and write in standard form
Answer:
y^2 - 3y - 9
Step-by-step explanation:
Combining Like Terms: y^2 - 3y - 9
Writing in Standard Form: y^2 - 3y - 9
d to the power of 2 = 61
Answer: d =7.81
if d² = 61 d = √61 =7.810249676
Rounding to 7.81 should be fine
Step-by-step explanation:
What are the 5 steps to solve a linear equation?.
Answer:
1. Distribute
2. Combine like terms
3. Get all variable on one side and everything else on the other (Inverse operations: Add / subtract)
4. Solve for one of your variables (inverse operation: Multiple / Division
5. Simplify
Please answer it now in two minutes
Answer:
135.5
hope this helps :)
If 3kg of flour costs $90. What is the cost of 15kg of the same flour?
Answer: $450
Step-by-step explanation:
Cost of 3kg flour=$90
cost of 1kg flour=$90/3 =$30
cost of 15 kg flour=$30*15=$450
sample variance and standard deviation are considered biased estimates of population variance and standard deviation because they tend to:
Sample variance and standard deviation are considered biased estimates of population variance and standard deviation because they tend to underestimate the true population variance and standard deviation.
The reason for this is that the sample variance and standard deviation are based on a sample of the population, not the entire population. The sample may not accurately represent the entire population, and thus the sample variance and standard deviation may not accurately reflect the true population variance and standard deviation. To correct for this bias, a correction factor is usually added to the sample variance calculation. For example, when estimating the population variance from a sample of size n, the sample variance is divided by (n-1) instead of n. This correction factor helps to provide a more accurate estimate of the population variance. Similarly, the sample standard deviation is calculated as the square root of the sample variance, and the correction factor is also applied to the sample standard deviation calculation. This corrected sample standard deviation is known as the unbiased sample standard deviation.
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Complete Question
sample variance and standard deviation are considered biased estimates of population variance and standard deviation because they tend to: What?
What’s the value of x
Answer:
x = 50/7, or x = 7 1/7
Step-by-step explanation:
Create and solve an equation of ratios, as follows:
5 x
--- = ----
7 10
Cross-multiplying, we get: 7x = 50, or x = 50/7, or x = 7 1/7
Which is the graph of y= 3/4 x - 3?
Answer:
Graph A.
Step-by-step explanation:
I graphed it out and my graph is below this text.
Have a great day! :D
Perimeter and area: changes in scale
Look at this rectangular prism:
9 yd
10 yd
6 yd
If all three dimensions are doubled, then which of the following statements about its surface area will be true?
The surface area of the original rectangular prism is 408 square yards, while the surface area of the doubled prism is 1632 square yards. Therefore, the statement "The surface area will be four times greater" is true.
When all three dimensions of a rectangular prism are doubled, the new dimensions will be 18 yards, 20 yards, and 12 yards.
To find the surface area of the original prism, we need to find the area of each face and then add them together. The formula for the surface area of a rectangular prism is 2lw + 2lh + 2wh, where l, w, and h represent the length, width, and height, respectively.
So, the surface area of the original prism is 2(9)(10) + 2(9)(6) + 2(10)(6) = 180 + 108 + 120 = 408 square yards. When all dimensions are doubled, the new surface area can be found using the same formula.
So, the new surface area will be 2(18)(20) + 2(18)(12) + 2(20)(12) = 720 + 432 + 480 = 1632 square yards.
Therefore, the statement "The surface area will be four times greater" is true.
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Could someone help me with 5 and 6?
Answer:
5: A
6: B
Step-by-step explanation:
Find the mean, median, mode, and range of the data set.
23, 31, 26, 27, 25, 28, 23, 23, 25, 29, 29, 29, 25, 22, 30, 23
Tickets to the soft ball game are $4 for students and $7 for adults. if $795 was made at the last game and 165 people attended,how many students were at the game?
20 POINTS FOR 2 QUESTION PLEASE HELP WILL GIVE BRAINLIESTT
(Will Comeback to make another answer and then give u brainly if ur the only answer)
Answer: what is the question?
Step-by-step explanation:
Which expression is equivalent to this expression?
34(4h – 6)
A. 3h – 92
B. 4h + 92
C. 3h – 6
D. 4h + 6
Answer:
the answer is d
Step-by-step explanation:
I SHALL NAME THEE BRAINLIEST!! (: Pls help me. (#1) 4A - 1 = 3A + 8 solve and check (#2) 1 + F + 3 + F = F + 5 solve and check (#3) Naomi had B bushels of grain. After Ruth brought her 5 more bushels of grain, she had 11 bushels in all. How much grain did Naomi have to start with? Write an equation and solve.
Answer: #1 A=9 #2 Naomi started with 6 bushels
Step-by-step explanation:
4A-1 = 3A + 8 Subtract 3A from both sides 4A -3A -1 = 3A-3A + 8 to get
A -1 = 8 Add 1 to both sides A -1 + 1 = 8 + 1 to get
A = 9 . Check by substituting 9 in place of A
4(9) - 1 = 3(9) + 8 multiply: 4×9 = 36 . 3×9=27
36 -1 = 27 + 8 do the subtraction and addition
35 = 35 .True.
Part 2: The original number plus 5 equals 11
B + 5 = 11 . . Subtract 5 from both sides
B +5 -5 = 11 -5
B = 6
Check: If she started with 6 bushels and added 5 bushels, she would have 11 bushels all together. True.
Correct answers are listed above. I just need the solution for
the second part (Using your answers from # 1-3 and applying the
differences of angle identities.) how was 4,5, and 6 computed
From the figure below, compute for the distance BD and the remaining interior angles. B 150 810 m 6 720m e C 39°30' 33°30' D 1) Using Triangle ABD, what is the BD? 1273.42829 sin a 2) Using Triangle
The distance BD is about 1273.43 meters, the angle C is -9°30' (clockwise) and the angle D is 189°30' for the triangle.
The distances and remaining interior angles of a given figure can be calculated using trigonometric identities and the information provided. BD is computed using the law of sine of triangle ABD, and the remaining interior angles are determined using the difference in angle identity.
To find the distance BD, we can use the law of sine of triangle ABD. The law of sines states that the ratio of the length of one side to the sine of the opposite angle is constant for all sides and angles of a triangle. Triangle ABD has angle A = 150°, angle B = 39°30' and side a = 720m. The sine law formula is \(BD/sin(A) = a/sin(B)\).
Rearranging the equation gives \(BD = (a * sin(A)) / sin(B)\). Substituting the values, \(BD = (720m * sin(150°)) / sin(39°30')\) = 1273.42829m (rounded to the nearest whole number).
To determine the remaining interior angles, we can use the difference in the angle identities. The identity of angles states that the sine of the difference between two angles can be expressed in terms of the sine and cosine values of each angle. You can apply this to find the remaining interior angles. For example: Angle C = 180° - (Angle A + Angle B) and Angle D = 180° - Angle C. Substituting the given values, the angle C = 180° - (150° + 39°30') = 180°. - 189°30' = -9°30' (negative because it is clockwise). Similarly: Angle D = 180° - Angle C = 180° - (-9°30') = 189°30'.
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Question is below! Please answer will mark brainliest!
Answer:
315 children attend the play.
Answer:
c=315
Step-by-step explanation:
we know c is equal to 21a so we can insert it into the second equation
a+21a=330
22a=330
/22. /22
a=15
now we inset a to find c
21(15)=c
315=c
Hopes this helps please mark brainliest
In ANOVA, the independent variable is ______ with 2 or more levels and the dependent variable is _______
a. interval/ratio with 2 or more levels; nominal
b. nominal with 2 or more levels; interval/ratio
c. ordinal with 2 or more levels, nominal
d. interval/ratio, nominal with 2 or more levels
The correct option is (d) interval/ratio, nominal with 2 or more levels.
In ANOVA (Analysis of Variance), the independent variable is interval/ratio with 2 or more levels, and the dependent variable is nominal with 2 or more levels. Here, ANOVA is a statistical tool that is used to analyze the significant differences between two or more group means.
ANOVA is a statistical test that helps to compare the means of three or more samples by analyzing the variance among them. It is used when there are more than two groups to compare. It is an extension of the t-test, which is used for comparing the means of two groups.
The ANOVA test has three types:One-way ANOVA: Compares the means of one independent variable with a single factor.Two-way ANOVA: Compares the means of two independent variables with more than one factor.Multi-way ANOVA: Compares the means of three or more independent variables with more than one factor.
The ANOVA test is based on the F-test, which measures the ratio of the variation between the group means to the variation within the groups. If the calculated F-value is larger than the critical F-value, then the null hypothesis is rejected, which implies that there are significant differences between the group means.
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Help 6th grade math i will give brainliest
Answer:
3/5, 0.6, and 60%
Step-by-step explanation:
Answer:
3/5, 60%, 0.60
Step-by-step explanation:
3 ÷ 5 = 0.60
0.60 is 60% (0.60 x 100)
60% = 60%
Nolan and his children went into a grocery store and he bought $9 worth of apples and bananas. Each apple costs $0.75 and each banana costs $0.50. He bought 2 more apples than bananas. By following the steps below, determine the number of apples, x, and the number of bananas, y, that Nolan bought.
Determine three ways to have 2 more apples than bananas:
Nolan and his children went into a grocery store and he bought $9 worth of apples and bananas, The three ways are explained below
What are equations?Generally, One way to determine the number of apples, x, and the number of bananas, y, that Nolan bought is to use the equation:
x + y = a (total number of apples and bananas)
0.75x + 0.5y = 9 (total cost of apples and bananas)
Another way is to use the equation:
x = y + 2 (number of apples is 2 more than the number of bananas) 0.75x + 0.5y = 9 (total cost of apples and bananas)
A third way is to use the equation
y = x - 2 (number of bananas is 2 less than the number of apples)
0.75x + 0.5(x-2) = 9 (total cost of apples and bananas)
You can then solve for x and y using either of the above equations.
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this figure is made up of a rectangle and parallelogram. what is the area of this figure? enter your answer in the box. do not round any side lengths. units²
40 square units is the area of this rectangle figure .
What is a rectangle ?
A rectangle is a sort of quadrilateral with parallel sides that are equal to one another and four vertices that are all 90 degrees apart. Because of this, it is also known as an equiangular quadrilateral.
The term "parallelogram" can also be used to describe a rectangle because the opposing sides are equal and parallel.
the figure, the rectangle has the vertexes (2,1), (3,-3), (-5,-5) and (-6,-1). The parallelogram has the vertexes (2,7), (3,3), (3,-3), and (2,1).
The area of a parallelogram is base times height. We have 2 vertical lines at x=2 and x=3, so the height is 1. And the length of the line from (3,3) to (3,-3) is 6, so the base is 6. Therefore the area of the parallelogram is 1*6 = 6.
The rectangle is a tad trickier since it's not aligned with either the x or y axis. But we can use the Pythagorean theorem to get the lengths.
L = sqrt((2 - -6)^2 + (1 - -1)^2)
L = sqrt(8^2 + 2^2)
L = sqrt(64 + 4)
L = sqrt(68) = 2*sqrt(17)
W = sqrt((2-3)^2 + (1- -3)^2)
W = sqrt((-1)^2 + 4^2)
W = sqrt(1 + 16)
W = sqrt(17)
And the area is length * width, so:
2*sqrt(17)*sqrt(17) = 2 * 17 = 34
And the total area is the sum of the areas, so
34 + 6 = 40
So the area of the figure is 40 square units.
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Use the figure to the right to find the value of PT. T is the midpoint of PQ.
PT = 4x + 5 and TQ = 8x-7
Answer:
PT = 17
Step-by-step explanation:
Since T is the midpoint of PQ, then
PT = TQ , substitute values
4x + 5 = 8x - 7 ( subtract 4x from both sides )
5 = 4x - 7 ( add 7 to both sides )
12 = 4x ( divide both sides by 4 )
3 = x
Thus
PT = 4x + 5 = 4(3) + 5 = 12 + 5 = 17
Answer:
17
Step-by-step explanation:
since T is mid point of PQ
PT=TQ
\(4x + 5 = 8x - 7 \\ 5 + 7 = 8x - 4x \\ 12 = 4x \\ x = 12 \div 4 \\ x = 3 \\ \)
so
\(pt = 4x + 5 \\ = 4(3) + 5 \\ = 12 + 5 \\ pt = 17\)
use the quadratic formula to solve the equation 4x^2+x-9=0
Answer:
see pics
Step-by-step explanation:
dbdksjhddbbdbsksksodhd pls give brainlist
Answer:
x = (-1 ±\(\sqrt{145}\) )/8
Step-by-step explanation:
Quadratic formula: x = (-b ± \(\sqrt{b^{2} - 4ac}\) )/(2a)
4x² + x - 9 = 0 ; General form of a quadratic is ax² +bx + c = 0
So a = 4, b = 1, and c = -9
x = -1 ±\(\sqrt{1^{2}-4(4)(-9)}\) / 2(4)
x = -1 ± \(\sqrt{1 + 144}\) /8
x = -1 ±\(\sqrt{145}\) /8
x = (-1 + \(\sqrt{145}\))/8 or x = (-1 - \(\sqrt{145}\))/8
How much is a 40 inch television if the sales tax is 6.75%? PLEASE HELP FAST! FREE BRAINLY!
Answer:
2.7
Step-by-step explanation:
6.75/100 = 0.0675
40 times 0.0675 is 2.7
The product of two consecutive positive integers is 56. Find the two integers
Answer:
Two consecutive integers are of the form
x and x + 1
Their product is equal to 56
x(x + 1) = 56
Solve and find the two numbers x and x + 1. The above equation may be written as follows
x2 + x - 56 = 0
Factor and solve
(x - 7)(x + 8) = 0
solutions: x = 7 , x = -8
x= - 8 is not valid since the number sought must be positive. Hence
x = 7 and x + 1 = 8 are the two consecutive numbers.
Step-by-step explanation:
HELP i have a exponential functions nd i need to know if my word problem is solve able pls
The Population of salmonella
doubles in size every 25 hours.
There are about 1.35 million
infections every year, determine
how many bacteria is present
every year.
Yes, this word problem is solvable using exponential functions.
To solve this problem, we need to use the formula for exponential growth:
P(t) = P0 * e^(rt)
where P(t) is the population after t hours, P0 is the initial population, r is the growth rate, and e is the mathematical constant approximately equal to 2.71828.
In this problem, we are given that the population doubles in size every 25 hours. This means that the growth rate is 1/25, since the population is multiplying by 2 each time.
We are also given that there are about 1.35 million infections every year. Since there are 365 days in a year, this means there are about 1.35 million/365 = 3699.18 infections per day.
We can now use this information to find the initial population:
P0 = 3699.18 / e^(1/25 * 24 * 365)
P0 ≈ 2135.05
So the initial population is about 2135.05 bacteria.
To find the population after one year, we can use the formula again:
P(365 * 24) = 2135.05 * e^(1/25 * 24 * 365)
P(365 * 24) ≈ 3.89 x 10^18
Therefore, there are approximately 3.89 x 10^18 bacteria present after one year.
If the angle B=149°, angle C=86° and angle D=43°, how many degrees is angle A?
Answer: 82°
Step-by-step explanation:
To find the measure of angle A, we can use the fact that the sum of the angles in a quadrilateral is 360 degrees. Therefore:
A + B + C + D = 360
Substituting the given values, we get:
A + 149° + 86° + 43° = 360°
Combining like terms, we get:
A + 278° = 360°
Subtracting 278° from both sides, we get:
A = 82°
Therefore, angle A measures 82 degrees.
There are 2.54 centimeters in 1 inch. There are 100 centimeters in 1 meter.
To the nearest meter, how many meters are in 197 inches? Enter the answer in the box.
meters
Answer:
5 meters
Step-by-step explanation:
If in 1 inch have 2.54 centimeters, in 197 inches will have:
197×2.54 = 500.38 centimeters
If 100 centimeters are 1 meter, 500 centimeters will have 5 meters, so 197 inches have 5 meters
How many litres of pure (100%) acid must be added to 4 L of a solution that is 88% acid by volume in order to obtain a 92% solution?
A volume of 2 liters is needed to obtain a 92 % solution.
How to use weighted averages to determine the quantity of pure acid needed for the preparation of a solution
In this problem we need to determine the volume of pure acid to be added with a volume of four liters of 88 % acid solution to get a 92 % solution. This can be done by definition of weighted average:
(88 / 100) · (4 L) + (100 / 100) · V = (92 / 100) · (4 L + V)
Where V is the volume needed of the pure acid, in liters.
3.52 L + V = 3.68 L + 0.92 · V
0.08 · V = 0.16 L
V = 2 L
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What is the simplified form of the following expression? 8ab/-4b
-2a
Step-by-step explanation:
steps:1. first write the question again : 8ab/-4b
2.first 8 divide by -4=-2
3.write ' a' with -2because u don't have another 'a' down belowso that u can pair it up and cancel
so: -2a.
4. cancel 'b' on top and 'b' at the bottom.