The equations \(dx^{2} - g = 0\) and \(dx^{2} + fx + g = 0\) could have non-real solutions, while\(x^{2} = fx\) and \((dx + g)(fx + h) = 0\) will only have real solutions.
The equation \(dx^{2} - g = 0\)could have non-real solutions if the discriminant, which is the expression inside the square root of the quadratic formula, is negative. If d and g are real numbers and the discriminant is negative, then the solutions will involve imaginary numbers.
The equation \(dx^{2} + fx + g = 0\) could also have non-real solutions if the discriminant is negative. Again, if d, f, and g are real numbers and the discriminant is negative, the solutions will involve imaginary numbers.
The equation \(x^{2} = fx\) represents a quadratic equation in standard form. Since there are no coefficients or constants involving imaginary numbers, the solutions will only be real numbers.
The equation \((dx + g)(fx + h) = 0\)is a product of two linear factors. In order for this equation to have non-real solutions, either \(dx + g = 0\) or \(fx + h = 0\) needs to have non-real solutions. However, since d, f, g, and h are assumed to be real numbers, the solutions will only be real numbers.
The equations\(dx^{2} - g = 0\)and \(dx^{2} + fx + g = 0\) could have non-real solutions, while \(x^{2} = fx\) and \((dx + g)(fx + h) = 0\)will only have real solutions.
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Find the cube root. How do I break down 1728 to easily find the cube root?
Given:
\(\sqrt[3]{1728}\)Aim:
We need to find the cube root of 1728.
Explanation:
Consider the prime factors of the number 1728.
\(1728=2\times2\times2\times2\times2\times2\times3\times3\times3\)\(1728=(2\times2\times2)\times(2\times2\times2)\times(3\times3\times3)\)\(1728=2^3\times2^3\times3^3\)\(1728=(2\times2\times3)^3\)\(1728=12^3\)Take cube root on both sides.
\(\sqrt[3]{1728}=\sqrt[3]{12^3}\)\(\sqrt[3]{1728}=12\)Final answer:
\(\sqrt[3]{1728}=12\). Luego de perder en forma sucesiva 1/3 y 2/5 de lo que le iba quedando, Alfredo gana en forma consecutiva sus 3 últimos juegos: 1/2, 1/4 y 1/6 de la cantidad que iba acumulando retirándose con s/. 70. ¿Cuánto tenía al inicio?
Answer:
Alfredo tenía 80 soles peruanos al inicio.
Step-by-step explanation:
La descripción del problema puede traducirse a las siguientes ecuaciones matemáticas:
Luego de perder en forma sucesiva 1/3 y 2/5 de lo que le iba quedando:
\(y = \left(1 - \frac{1}{3}\right)\cdot x\)
\(z = \left(1 - \frac{2}{5}\right)\cdot y\)
Donde:
\(x\) - Monto inicial, medido en soles peruanos.
\(y\), \(z\) - Montos remanentes después de pérdidas, medidos en soles peruanos.
Se reduce el sistema de ecuaciones:
\(z = \left(1-\frac{2}{5}\right)\cdot \left(1-\frac{1}{3} \right)\cdot x\)
\(z = \frac{2}{5}\cdot x\)
Gana en forma consecutiva sus 3 últimos juegos:
\(u = \left(1+\frac{1}{2} \right)\cdot z\)
\(v = \left(1 + \frac{1}{4} \right)\cdot u\)
\(w = \left(1+\frac{1}{6} \right)\cdot v\)
Donde:
\(z\) - Monto inicial, medido en soles peruanos.
\(u\), \(v\), \(w\) - Montos remanentes después de ganancias, medidos en soles peruanos. (Donde w es el monto final).
Se reduce el sistema de ecuaciones:
\(w = \left(1+\frac{1}{2} \right)\cdot \left(1+\frac{1}{4} \right)\cdot \left(1+\frac{1}{6} \right)\cdot z\)
\(w = \frac{35}{16}\cdot z\)
Si \(w = 70\), el monto inicial es:
\(z = \frac{16}{35}\cdot w\)
\(z = \frac{16}{35} \cdot (70)\)
\(z = 32\)
Ahora,
\(x = \frac{5}{2} \cdot z\)
\(x = \frac{5}{2}\cdot (32)\)
\(x = 80\)
Alfredo tenía 80 soles peruanos al inicio.
Al inicio Alfredo tenía $80.
Determinación de cantidadesDado que, luego de perder en forma sucesiva 1/3 y 2/5 de lo que le iba quedando, Alfredo gana en forma consecutiva en sus 3 últimos juegos 1/2, 1/4 y 1/6 de la cantidad que iba acumulando retirándose con $70, para determinar cuánto tenía al inicio se debe realizar el siguiente cálculo:
((((0.66X) x 0.6) x 1.5) x 1.25) x 1.16 = 70((((0.66X) x 0.6) x 1.5) x 1.25) = 70 / 1.16(((0.66X) x 0.6) x 1.5) = 60 / 1.25(((0.66X) x 0.6) x 1.5) = 60 / 1.25((0.66X) x 0.6) = 48 / 1.50.66X = 32 / 0.6X = 53.333 / 0.66 X = 80Por lo tanto, al inicio Alfredo tenía $80.
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Hailey's laundry basket contains 777 socks. These 777 socks account for approximately 21\!!, percent of Hailey's socks. How many socks does Hailey have in total
The number of socks for Hailey will be 163.
What is the percentage?
The Percentage is defined as representing any number with respect to the 100. It is denoted by the sign %.
Given that:-
Hailey's laundry basket contains 777 socks. These 777 socks account for approximately 21, per cent of Hailey's socks.The number of Haley's socks will be calculated as=
Socks = 777 x 21/100
Socks = 777 x 0.21
Socks = 163
Therefore the number of socks for Hailey will be 163.
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Use the Range Rule of Thumb to determine whether 6 girls in 8 births is a significantly high number of girls.
A z-score of 1 indicates that the observed number of girls is 1 standard deviation above the expected number. In general, a z-score greater than 2 or less than -2 is considered unusual. In this case, the z-score of 1 does not suggest a significantly high number of girls, as it is within the typical range of outcomes.
The Range Rule of Thumb states that for a normal distribution, the range is approximately four times the standard deviation. To determine whether 6 girls in 8 births is a significantly high number of girls, we need to calculate the expected number of girls based on the probability of having a girl or a boy. Assuming a 50/50 chance of having a girl or a boy, we would expect 4 girls in 8 births.
Using the Range Rule of Thumb, we can calculate the standard deviation as range/4. In this case, the range is 6-0=6, so the standard deviation is 6/4=1.5.
To determine if 6 girls in 8 births is significantly high, we can calculate the z-score using the formula:
z = (observed value - expected value) / standard deviation
In this case, the observed value is 6 and the expected value is 4.
z = (6-4) / 1.5 = 1.33
Looking up this z-score in a standard normal distribution table, we see that the probability of getting a z-score of 1.33 or higher is 0.0918, or about 9%. This means that 6 girls in 8 births is not significantly high, as it falls within the normal range of variation.
Using the Range Rule of Thumb, we can determine whether 6 girls in 8 births is a significantly high number of girls. The Range Rule of Thumb is used to estimate the standard deviation (SD) of a sample, which can be helpful in determining if an observation is unusual.
First, calculate the expected proportion of girls using the assumption that there is a 50% chance of having a girl (0.5). Multiply this by the total number of births (8) to find the expected number of girls: 0.5 x 8 = 4.
Next, find the range by subtracting the minimum possible number of girls (0) from the maximum possible number of girls (8): 8 - 0 = 8.
Now, apply the Range Rule of Thumb to estimate the standard deviation (SD): SD = Range / 4 = 8 / 4 = 2.
Calculate the z-score to see how many standard deviations the observed number of girls (6) is from the expected number (4): z-score = (6 - 4) / 2 = 1.
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evaluate n+5/6 for n=1/3
Mr. Boyd's cherry tree grew 12 inches in 3/4 of a year. At that rate, how much would it grow in
1 year?
Answer:
16 inches.
PS:
Can I have Brainliest?
Answer:
Your answer is : 16 inches
Step-by-step explanation:
12 ÷ 3 = 4
4 inches for 1/4 of the year
= 4 × 4 = 16
hence, it would grow 16 inches in 1 year
I need help, if its easy to answer shame on me lol
Answer:
what is the question? may i help u if i can !
Guided Practice
Write an equation of the direct variation that includes the point (–8, 10).
A.
y= −4/5x
B.
y= 5/4x
C.
y= −5/4x
Answer:
C.
y= −5/4x
Step-by-step explanation:
Write an equation of the direct variation that includes the given point. (-8, 10)
1
first divide y by x to find the constant
2
Then write the equation using that constant. The constant can be written as a fraction or a decimal.
RESULT
Solve: 1. 12 + 2 ( x - 1 ) = 4x - 15 - 2x
2. 7 ( x + 3 ) - 1 = 5 ( x + 4 ) + 10
3. ( 4x - x ) 6 + 2 = 11 ( x + 3 ) + 10
4. 3/8 ( 2x - 8 ) = 1/4x + 9
please show work
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The formula for the area of a triangle is bh=A. Which of the following is not a possible first step to
rearrange this formula to find the base of the triangle?
Answer:
h = A ÷ b
Step-by-step explanation:
The base is to be the subject of formula not height so dividing through the equation by b to give h = A ÷ B is not a possible first step
an amusement park is running a special where you pay an entrance fee of $13 and will only charge $1 for the first 5 rides. After 5 rides, the price goes up to $4 per ride.
a. Write a function that represents the total cost of a trip to this amusement park
b. How much money will be spent if you go on 7 rides?
c. How many rides did someone go on who ended up spending $46?
how many ways can we have the 2n people stand in a line so that no person is standing next to their spouse?
The variety of arrangements we can make for the 2n people to stand in a line such that nobody is next to their spouse;
(2n)! - ∑ⁿₓ₋₁ 2ˣ(-1)ˣ(ⁿCₓ)(2n - x)!
Explain the term exclusion and inclusion?Everything a study needs to meet the inclusion criteria is included. Exclusion criteria are indeed the elements that would exclude a study from inclusion. The following criteria should be taken into account: studies of this kind: It is crucial to choose publications with a study design that is relevant for the research issue.The step for the simplification are-
Utilizing exclusion and inclusion to determine that at least 1 wife is seated next to her husband in the total number of ways to seat 2n individuals in 2n chairs.Let A1 represent the attribute in which at least 1 wife can be seen sitting next to her husband.The wife and husband are then "merged" into one person. We have (nC1) options to select one pair from n couples, leaving us with (2n) to position (2n) "people" in order to obtain (2n)! and so forth.Finally, on a broad note:
(2n)! - (2(ⁿC₁)(2n - 1)! - 2²(ⁿC₂)(2n - 1)! + .....2ˣ(-1)ˣ(ⁿCₓ)(2n - x)!
On further simplifying;
(2n)! - ∑ⁿₓ₋₁ 2ˣ(-1)ˣ(ⁿCₓ)(2n - x)!
Thus, the variety of arrangements we can make for the 2n people to stand in a line such that nobody is next to their spouse;
(2n)! - ∑ⁿₓ₋₁ 2ˣ(-1)ˣ(ⁿCₓ)(2n - x)!
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Multiply the starting price by the right term that uses the compound average to show that the arithmetic mean does not recover the final price while the geometric and continuous means do. Convert the percent averages to fractions.
$53. 07 x (1 + arith mean) 3 = 53.07 x (1 + #21 %) 3 = #22
$53. 07 x (1 + geom mean) 3 = 53.07 x (1 + #23 %) 3 = $ #24
$53. 07 x e cont mean x 3 = 53.07 x e #25 % x 3 = $ #26
I need help filling out numbers #21 through #26
The values for numbers #21 through #26 are as follows:
#21: 2.33% or 0.0233. #22: $56.4842. #23: 1.85% or 0.0185. #24: $56.4148. #25: 3.64% or 0.0364. #26: $57.4397
#21: 2.33% (arithmetic mean as a fraction: 0.0233)
#22: $56.4842 (result of the calculation)
#23: 1.85% (geometric mean as a fraction: 0.0185)
#24: $56.4148 (result of the calculation)
#25: 3.64% (continuous mean as a fraction: 0.0364)
#26: $57.4397 (result of the calculation)
To fill out numbers #21 through #26, we need to calculate the values for each term using the given information and convert the percentages to fractions.
#21: The arithmetic mean is given as a percentage. Convert it to a fraction by dividing by 100. Therefore, #21 = 2.33% = 0.0233.
#22: Multiply the starting price ($53.07) by the compound factor (1 + arithmetic mean)^3. Substitute the value of #21 into the calculation. Therefore, #22 = $53.07 x (1 + 0.0233)^3 = $56.4842.
#23: The geometric mean is given as a percentage. Convert it to a fraction by dividing by 100. Therefore, #23 = 1.85% = 0.0185.
#24: Multiply the starting price ($53.07) by the compound factor (1 + geometric mean)^3. Substitute the value of #23 into the calculation. Therefore, #24 = $53.07 x (1 + 0.0185)^3 = $56.4148.
#25: The continuous mean is given as a percentage. Convert it to a fraction by dividing by 100. Therefore, #25 = 3.64% = 0.0364.
#26: Multiply the starting price ($53.07) by the continuous factor e^(continuous mean x 3). Substitute the value of #25 into the calculation. Therefore, #26 = $53.07 x e^(0.0364 x 3) = $57.4397.
Hence, the values for numbers #21 through #26 are as calculated above.
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the amplitude of a sector of πcm² of area and 1.5 cm of radius
The area of the sector is A = π cm² and amplitude is a = 0.75 cm
Given data ,
The area of a sector is given by the formula:
A = (1/2) x r² x θ
where r is the radius of the sector and θ is the central angle in radians.
On simplifying , we get
A = π cm²
r = 1.5 cm
Substituting these values into the formula, we get:
π = (1/2) x (1.5)² x θ
π = (3/4) x θ
Solving for θ, we get:
θ = (4/3) x π
The amplitude of the sector is half of the radius, so:
amplitude = (1/2) x 1.5 cm = 0.75 cm
Hence , the amplitude of the sector is 0.75 cm
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The oven that is used To make the pizza is majors temperature in Fahrenheit the baking temperature for the pizza is that buy a new employer to 310° F is this temperature correct if he had been instructed to set the temperature is 180°C use the formula °C=(°F-32°)x1,8]
Answer:
°F = 356
Step-by-step explanation:
°C = (°F - 32) ÷ 1.8
180 = (°F - 32) ÷ 1.8
180×1.8 = °F - 32
324 = °F - 32
°F = 324 + 32
°F = 356
5 x -8 x 2
What is the product?
Suppose he found the opposite of the correct product. Describe and error he could have made that resulted in that product.
Answer:
The product is -80
If he found the opposite of -80 which is 80, he didn’t take notice of the negative sign, which is important.
Step-by-step explanation:
5 x -8 = -40
-40 x 2 = -80
Answer:
-80
If I found the opposite I probably did not take into account the negative sign with 8
Step-by-step explanation:
5 x -8 is -40 A positive x a negative is a negative.
-40 x 2 = -80 A negative times a positive is a negative.
Count the negative signs in a multiplication problem. If you count and odd number the answer will be negative. If you count an even number, your answer will be positive.
I need to be able to show work
i.
ii.
iii.
are the steps i’m supposed to used but I don’t know the answer
The equation 1 + 4 + 9 + ... + n² = n(n + 1)(2n + 1) / 6 is proven by mathematical induction.
We have,
To prove the equation 1 + 4 + 9 + ... + n² = n(n + 1)(2n + 1) / 6 using mathematical induction,
We will follow the three steps of mathematical induction:
The base case, the induction hypothesis, and the inductive step.
Step 1: Base case
Let's start by checking if the equation holds true for the base case, which is n = 1.
When n = 1, the left-hand side (LHS) is 1² = 1, and the right-hand side (RHS) is 1(1 + 1)(2(1) + 1) / 6 = 1.
Since LHS = RHS for the base case, the equation holds true.
Step 2: Induction hypothesis
Assume the equation holds true for some positive integer k, where k ≥ 1. This is our induction hypothesis:
1 + 4 + 9 + ... + k² = k(k + 1)(2k + 1) / 6
Step 3: Inductive step
We need to prove that if the equation holds true for k, it also holds true for k + 1.
Starting with the left-hand side of the equation, we add (k + 1)² to both sides:
1 + 4 + 9 + ... + k² + (k + 1)² = k(k + 1)(2k + 1) / 6 + (k + 1)²
Simplifying the right-hand side:
= [k(k + 1)(2k + 1) + 6(k + 1)²] / 6
= [(2k³ + 3k² + k) + (6k² + 12k + 6)] / 6
= (2k³ + 9k² + 13k + 6) / 6
= [(k + 1)(k + 2)(2k + 3)] / 6
We can see that the right-hand side is now in the form
(k + 1)((k + 1) + 1)(2(k + 1) + 1) / 6, which matches the equation for k + 1.
Since the equation holds true for k implies it holds true for k + 1, and the base case is true, we have proven the equation using mathematical induction.
Therefore,
The equation 1 + 4 + 9 + ... + n² = n(n + 1)(2n + 1) / 6 is proven by mathematical induction.
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Simplify to lowest terms:
2.5:10
1.4:1.8
0.04: 0.3
1/5: 4/5
3/4: 1/2
6.2:5 2/5
Step-by-step explanation:
2.5:10 = 1/4
1.4:1.8 = 7/10
0.04: 0.3 = 2/50
1/5: 4/5 = 1/5
3/4: 1/2 = 3/2
6.2:5 2/5 = 12/5
Determine if the matrices are inverses to each other by showing if their product is the identity matrix. A= ⎣
⎡
3
4
3
1
1
1
4
4
5
⎦
⎤
B= ⎣
⎡
−1
0
1
1
−3
0
0
−4
1
⎦
⎤
Are the matrices inverses to each other? Yes
The matrices A and B are inverses of each other.
To determine if two matrices are inverses of each other, we need to check if their product is the identity matrix. Let's calculate the product of matrices A and B:
A * B = ⎣⎡343 111 445⎦⎤ * ⎣⎡−101 1 −30⎦⎤
= ⎣⎡0 1 0⎦⎤
The product of matrices A and B results in the identity matrix:
A * B = I
Since the product of matrices A and B is the identity matrix, we can conclude that matrices A and B are inverses of each other.
Note: In general, for two matrices A and B to be inverses, their product should equal the identity matrix and the product of B and A should also equal the identity matrix. In this case, we have shown that A * B is the identity matrix, and if we calculate B * A, we should also obtain the identity matrix to fully confirm that A and B are inverses of each other.
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Solve the system by substitution.
- 2x – 10y = -2
-4y = x
Answer:
x = -4 and y = 1
Step-by-step explanation:
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3. What are the coordinates of the inflection point for the graph y -2√x+12?
O A. (-12,0)
O B. (-12,-2)
O c. (-2, 12)
OD. (12,0)
The coordinates of the inflection point for the graph y = -2√x+12 are (12,0). This is option D.
The inflection point of a curve is the point where the curve changes concavity, or the curvature of the curve changes from upward to downward or vice versa. To find the inflection point of a curve, we need to find the second derivative of the function and set it equal to zero. In this case, the function is y = -2√x+12, and its second derivative is y'' = 2/(x√x). Setting y'' equal to zero and solving for x, we get x = 0. Plugging this value of x back into the original equation, we get y = 12. Therefore, the inflection point of the curve is (12,0).
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PLEASE HELP ME REALLY IMPORTANT
the answer is not
c = 5
w = -8
x = -14
Answer:
c= 6103515625w/2187x
w= x in (c)/ in (3) + In (6561/ 6103515625)/ in (3)
no clue but I tryed
NEED ANSWER
A jar is filled with buttons of various colors. If the jar has a total of 625 buttons and 76% of the buttons are yellow, how many yellow buttons are in the jar?
Question 2 options:
47,500 yellow buttons
549 yellow buttons
475 yellow buttons
150 yellow buttons
Cloud seeding has been studied for many decades as a weather modification procedure (for an interesting study of this subject, see the article in Technometrics "A Bayesian Analysis of a Multiplicative Treatment Effect in Weather Modification," Vol. 17, pp. 161- 166). The rainfall in acre-feet from 20 clouds that were selected at random and seeded with silver nitrate follows: 18.0, 30.7, 19.8, 27.1, 22.3, 18.8, 31.8, 23.4, 21.2, 27.9, 31.9, 27.1, 25.0, 24.7, 26.9, 21.8, 29.2, 34.8, 26.7, 31.6 Assume the rainfall is normally distributed. (a) Can you support a claim that mean rainfall from seeded clouds is 28.5 acre-feet? Use a = 0.05. (b) Explain how the question in part (a) could be answered by constructing a suitable confidence interval on the mean diameter.
There is no significant evidence to reject the claim that the mean rainfall from seeded clouds is 28.5 acre-feet at the 95% confidence level.
To test the claim that the mean rainfall from seeded clouds is 28.5 acre-feet, we can use a one-sample t-test.
First, we calculate the sample mean and standard deviation of the rainfall data:
Sample mean, \($\bar{x} = (18.0 + 30.7 + \ldots + 31.6)/20 = 26.545$\)
Sample standard deviation, s = 4.682
Using these values and the sample size, n = 20, we can calculate the t-statistic:
\(t = \frac{\bar{x} - \mu}{s/\sqrt{n}} = \frac{26.545 - 28.5}{4.682/\sqrt{20}} = -1.872\)
The degrees of freedom for the test are df = n - 1 = 19. Using a two-tailed t-table with α = 0.05 and df = 19, we find the critical values to be ±2.093. Since |t| = 1.872 < 2.093, we fail to reject the null hypothesis that the mean rainfall is 28.5 acre-feet.
To construct a confidence interval on the mean rainfall, we can use the formula:
\(\begin{equation*}CI = \bar{x} \pm t_{\alpha/2} \frac{s}{\sqrt{n}}\end{equation*}\)
where \(\bar{x}\), s, and n are the same as in part (a), and \(t_{\alpha/2}\) is the t-score for the desired level of confidence and degrees of freedom.
For a 95% confidence interval, α/2 = 0.025, and using df = 19, we find \(t_{0.025} = 2.093\).
Substituting the values into the formula, we get:
\($CI = 26.545 \pm 2.093 \times \frac{4.682}{\sqrt{20}} = (23.389, 29.701)$\)
Since 28.5 is within the confidence interval, we can say that there is no significant evidence to reject the claim that the mean rainfall from seeded clouds is 28.5 acre-feet at the 95% confidence level.
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find the critical value for the t test. n=11 , α=0.025, right-tailed test
The critical value for a right-tailed t-test with a significance level (α) of 0.025 and a sample size (n) of 11 is approximately 2.718.
The critical value is a threshold used to determine whether a test statistic is statistically significant. In a t-test, it helps determine if the sample mean is significantly different from a hypothesized population mean. The critical value for a specific significance level and test type can be found using statistical tables or calculators.
For a right-tailed t-test, we are interested in determining if the sample mean is significantly larger than the hypothesized population mean. In this case, the significance level (α) is set to 0.025, indicating a 2.5% chance of observing a sample mean as extreme or more extreme than what is obtained, assuming the null hypothesis is true. With a sample size (n) of 11, the degrees of freedom for this test would be n - 1 = 10.
Looking up the critical value for a right-tailed t-test with 10 degrees of freedom and a significance level of 0.025, we find that the value is approximately 2.718. This means that if the calculated test statistic (t-value) is greater than 2.718, we would reject the null hypothesis in favor of the alternative hypothesis, indicating a statistically significant result.
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The capacity of a fih tank i 492 pint. What i the capacity of the tank in quart?
The capacity of fish tank in quarts is 246.
Therefore the answer is 246.
A pint is a unit of volume in the US customary system of measurement and is equal to 16 fluid ounces. A quart is also a unit of volume in the US customary system of measurement and is equal to 32 fluid ounces or 2 pints.
There are 2 pints in 1 quart, so to convert from pints to quarts, we need to divide by 2.
The capacity of the fish tank in pints is 492.
Therefore, the capacity of the fish tank in quarts is
= 492 pints / 2 pints per quart
= 246 quarts
So, the capacity of the tank in quarts is 246 quarts.
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PLEASE HURRY I NEED AND ANSWER NOW
What is one benefit of privately issued student loans? They are issued in cooperation with the student’s university to reduce costs and paperwork. They have lower interest rates and can be paid back with lower out-of-pocket costs. They are backed by the US government to ensure greater financial security. They are available to any student who meets lending standards, regardless of financial need.
Answer:
"Private student loans often allow for early repayment without penalty. Therefore, if you do choose to take out a private student loan, you can start paying off your loans while you're in school," according to Tayne. This, she says, means you can decrease how much you pay in the long run by saving on interest
\(4x + 5 = 65\)
Is this a equation or not? why?
Answer:
it is NOT an equation.......
Answer:
It is an equation because it can give a solution for its term of x
\(4x + 5 = 65\\ 4x = 60\\ x = 15\)
Select three expressions that are equivalent to 16x + 12y
Answer:
I'm not sure what X or Y equals, But I'm pretty sure this could help!!
1. 4x + 16
2. 8x + 32
3. 2x + 8
Find the sum of the interior angles for a pentagon. 180° 360° 540° 900°
The sum of the interior angles for a pentagon is 540°
Sum of Interior Angles of a Pentagon :
The interior angles of a pentagon sum up to 540 degrees.. Regardless of how regular or irregular the pentagon is, this is true. By dividing the whole amount by 5, we can calculate the size of each internal angle in the case of regular pentagons. To determine the measure of a missing angle in the situation of irregular pentagons, we must first know the measurements of other angles.
Any pentagon's internal angles add up to 540° in the same way. This holds true regardless of how regular or irregular the pentagon is. By using the polygon angle sum formula, the following sum is obtained:
(n-2)180(n−2)×180°
where n represents the polygon's number of sides. We have n = 5 in the case of a pentagon. Consequently, utilizing the formula:
=(n-2)180=(n−2) ×180°
= (5-2) 180= (5−2) ×180°
= (3) 180= (3) ×180°
= 540=540°
Consequently, a pentagon's interior angles add up to 540 degrees.
Learn more about interior angles here:
brainly.com/question/26522820
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