Answers
Answer:
vertex = (1, - 5 )
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
y = (x - 1)² - 5 ← is in vertex form
with (h, k ) = (1, - 5 ) ← vertex
Related Questions
Which statement from "Ain't I a Woman?" is an example of pathos?
Well, children, where there is so much racket there must be something out of kilter.
That man over there says that women need to be helped into carriages, and lifted over ditches, and to have the best place everywhere.
I have borne thirteen children, and seen most all sold off to slavery, and when I cried out with my mother’s grief, none but Jesus heard me!
If my cup won’t hold but a pint, and yours holds a quart, wouldn’t you be mean not to let me have my little half-measure full?
Answers
Answer:
The answer is C
Step-by-step explanation:
I just took the test, got it wrong, just so I could answer this, I answered b, but it's c
Answer:
C is the answer :)
Step-by-step explanation:
got it right on the test
Marc, a single taxpayer, earns $260,000 in taxable income and $8,000 in interest from an investment in city of Birmingham bonds. Using the U.S. tax rate schedule for year 2021, what is his current marginal tax rate
Answers
Marc's current marginal tax rate can be determined by referring to the U.S. tax rate schedule for the year 2021 based on his taxable income.
To calculate Marc's current marginal tax rate, we need to look at the U.S. tax rate schedule for the year 2021. The tax rate schedule consists of several tax brackets, each with its corresponding tax rate. As taxable income increases, individuals move into higher tax brackets and are subject to higher tax rates. Based on Marc's taxable income of $260,000, we would need to refer to the tax rate schedule to determine his marginal tax rate. As the exact tax rates within the brackets can vary, it's important to consult the specific tax rate schedule for the given year.
By locating the corresponding tax bracket for $260,000 in taxable income, we can identify the applicable tax rate. Marc's current marginal tax rate would be the tax rate associated with the bracket that includes his interest.
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Which expression is equivalent to 3 the 5th power?
Answers
Answer:
The expression equivalent to 3 to the 5th power is 3^5.
The number 3 raised to the 5th power is represented through the expression 3 ^ 5, which means that the number 3 is multiplied by itself 5 times (3x3x3x3x3), which results in the number 243, which is can be corroborated by the following calculations:
3x3 = 9
9x3 = 27
27x3 = 81
81x3 = 243
The solution is: The expression equivalent to 3 to the 5th power is 3^5.
Here, we have,
The number 3 raised to the 5th power is represented through the expression 3 ^ 5,
which means that the number 3 is multiplied by itself 5 times (3x3x3x3x3),
which results in the number 243,
which is can be corroborated by the following calculations:
3x3 = 9
9x3 = 27
27x3 = 81
81x3 = 243
Hence, The solution is: The expression equivalent to 3 to the 5th power is 3^5.
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Find the area of a rectangle with a base of 2 and a height of 6.
Answers
Answer:
12
Step-by-step explanation:
2 x 6 = 12
to find area you multiply length x width or in this case base x height
If B is between A and C and AB = 3x + 1, BC = 2x - 7, and AC = 24, then
find the value of x.
Answers
AB + BC = AC
3x+1 +2x -7 = 24
5x -6 = 24
5x = 30
x = 6
The value of x is 6.
It is required to find the scientific notation.
What is line?A line is a straight one-dimensional figure having no thickness and extending infinitely in both directions. A line is made of a set of points which is extended in opposite directions infinitely. It is determined by two points in a two-dimensional plane. The two points which lie on the same line are said to be collinear points.
GIven:
let AC is straight line and B is on line.
B is between A and C
AB = 3x + 1,
BC = 2x - 7,
AC = 24,
We have to find the value of x.
According to given question we have,
AB + BC = AC
3x+1 +2x -7 = 24
5x -6 = 24
5x = 30
x = 6
Therefore, the value of x is 6.
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what is 4y³ - 3z⁴ when y=3 and z=2 =
Answers
Answer:
60Step-by-step explanation:
4(y)3 - 3(z)4
Sub:- 4(3)raise to three - 3(2)raise to four
4(27)-3(16)
4*27-3*16
108-48
=60.
If it takes 3/7 hours to paint 3/5 wrongs how much hours does it take to paint one room
Answers
It takes 7/5 hours to paint one room.
To find the time it takes to paint one room, we need to determine the reciprocal of the fraction representing the number of rooms painted per hour.
If it takes 3/7 hours to paint 3/5 of a room, then the fraction representing the rate of painting is (3/5) / (3/7). To divide fractions, we multiply by the reciprocal of the second fraction. Therefore:
(3/5) / (3/7) = (3/5) * (7/3) = (3 * 7) / (5 * 3) = 21/15
So, it takes 21/15 hours to paint one room. This can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 3:
21/15 = (21/3) / (15/3) = 7/5
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Using the simple interest formula I = PRT, calculate the interest that would be earned.
Principal = $1000
Rate = 6%
Time = 2 years
$12
$120
$1200
$12000
Answers
SI = P × R × T
SI = 1000 × 6/100 × 2 = $120
In ΔBCD, the measure of ∠D=90°, the measure of ∠B=71°, and DB = 67 feet. Find the length of BC to the nearest tenth of a foot.
Answers
Answer:
in triangle BCD
relationship between base and hypotenuse is given by cos angle
cos 71=b/h
cos71=BD/BC
cos71=67/x
x=67/cos71=205.8ft.
the length of BC to the nearest tenth of a foot is 206ft.
Select all (there are more than one) that are solutions to the system of linear inequalities graphed below:
Answers
The solutions are all the points inside the shaded region:
(1, 0.5) , (2,-1) and (2.5, -2)
use inductive reasoning to prove that if the sum of all the digits of a number are divisible by 9 then the number itself is divisible by 9 (let n be the number of digits)
Answers
Sum of all the digits of a number are divisible by 9.
How to prove that if the sum of all the digits of a number are divisible by 9?Base Case:
Let's consider a single-digit number, say 9. The sum of its digits is 9, which is divisible by 9, and the number itself is also divisible by 9. So, the statement holds true for the base case.
Inductive Hypothesis:
Let's assume that the statement holds true for a number with n digits, where n is some positive integer.
Inductive Step:
Now, we need to prove that the statement also holds true for a number with (n+1) digits. Let's consider such a number, say M, with (n+1) digits. We can write M as follows:
\(M = a_n * 10^n + a_{n-1} * 10^{n-1} + ... + a_1 * 10 + a_0\)
where a_n, a_{n-1}, ..., a_1, a_0 are the digits of the number M.
We know that the sum of all the digits of M is divisible by 9, so we can write:
\(a_n + a_{n-1} + ... + a_1 + a_0 = 9k\)
where k is some positive integer.
We can also write M as follows:
M = \(a_n * 10^n + a_{n-1} * 10^{n-1} + ... + a_1 * 10 + a_0= a_n * (10^n - 1) + a_{n-1} * (10^{n-1} - 1) + ... + a_1 * (10 - 1) + (a_0 + a_n + a_{n-1} + ... + a_1)\)
Now, we know that \(a_0 + a_n + a_{n-1} + ... + a_1\) is divisible by 9, so we can write:
M = \(a_n * (10^n - 1) + a_{n-1} * (10^{n-1} - 1) + ... + a_1 * (10 - 1) + 9j\)
where j is some positive integer.
We can simplify this expression as follows:
M = \(a_n * (10^n - 1) + a_{n-1} * (10^{n-1} - 1) + ... + a_1 * (10 - 1) + 9j= a_n * 10^n + a_{n-1} * 10^{n-1} + ... + a_1 * 10 + (a_n + a_{n-1} + ... + a_1 + a_0 - a_n - a_{n-1} - ... - a_1) + 9j\)
= \(a_n * 10^n + a_{n-1} * 10^{n-1} + ... + a_1 * 10 + (9k - a_n - a_{n-1} - ... - a_1) + 9j\)
= \(10(a_n * 10^{n-1} + a_{n-1} * 10^{n-2} + ... + a_1) + 9(k + j - a_n - a_{n-1} - ... - a_1)\)
We can see that the first term in this expression is divisible by 9.
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Compare the 95% confidence interval to the 99% confidence interval. Suppose all conditions are the same except the different level of confidence. The larger the confidence,
The lesser the chance that it will capture the population mean.
The greater the chance that it will capture the population mean.
The chances in capturing the population mean are equal.
None of the answers are correct.
Answers
The formula for calculating a confidence interval, on the other hand, varies based on the population parameter being investigated. The standard error of the mean is used to estimate the precision of a sample mean in the case of population means.
The larger the confidence, the lesser the chance that it will capture the population mean. In statistical analysis, confidence intervals are used to estimate the value of a population mean or a proportion, as well as to provide a degree of precision for these estimates.
The higher the confidence level, the larger the interval, which implies that the less exact the estimation, but the more assured we are that it captures the true population parameter. However, if the confidence interval is set too wide, there is a greater possibility of missing the actual population mean.
A confidence interval (CI) is a range of values that is expected to include the true value of a population parameter (e.g., mean, proportion, variance) with a specified degree of confidence.
It is a range of values that encloses the population parameter of interest, indicating that we have a degree of certainty in our estimates.Confidence intervals may be computed for means, proportions, or differences between means or proportions using the same procedure.
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Using a variable, write an inequality to represent the solution shown on the graph below.
Answers
Answer: \(x\leq -1\)
Step-by-step explanation: The closed point indicates that it can be equal to that number. The arrow is going back on the number line, meaning it is going to be less. Thus, it is less than or equal to -1.
Priya is stacking building blocks to make a tower. She takes a break when the tower is 212 feet tall, which is 58 of the height of the tower she wants to build. How tall is the tower when finished?
Answers
Answer:
4 feet.
Step-by-step explanation:
PLSSSS HELPPPPP 20 POINTSSSSSS MATHHH
Answers
Answer:
\(-63b^6\)
Step-by-step explanation:
When you multiply two exponents together with the same base, the exponents get added
Here the base is the same ie b
So \(b^4 . b^2 = b^{4+2} = b^6\)
The constants multiply in the usual sense so 7(-9) = -63
Answer is \(-63b^6\)
a pool with dimensions of 10 ft radius and 4 ft height fill with water at a rate of 20 gallons a minutes. about how many hours will it take to fill the pool if 1 cubic foot of water is about 7.5 gallons?
Answers
It will take approximately 7.85 hours to fill the pool.
To determine the time needed to fill the pool, first calculate the volume of the pool, then convert the volume to gallons, and finally, divide by the fill rate.
The pool is a cylinder with a radius of 10 ft and a height of 4 ft. The volume of a cylinder is given by the formula V = πr²h.
V = π(10 ft)²(4 ft) = 400π cubic feet ≈ 1256.64 cubic feet
Next, convert the volume to gallons using the given conversion factor:
1256.64 cubic feet * 7.5 gallons/cubic foot ≈ 9424.8 gallons
Now, divide the total gallons by the fill rate of 20 gallons/minute to find the time in minutes:
9424.8 gallons ÷ 20 gallons/minute ≈ 471.24 minutes
Finally, convert the time to hours:
471.24 minutes ÷ 60 minutes/hour ≈ 7.85 hours
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For 0 less-than x less-than startfraction pi over 2 endfraction, which expression is equivalent to startstartfraction sine (startfraction x over 2 endfraction) tangent (startfraction x over 2 endfraction) overover 1 minus cosine (x) endendfraction? a. startfraction 1 over startroot 2 (1 cosine x) endroot endfraction b. startfraction 1 over startroot 2 (1 minus cosine x) endroot endfraction c. (startroot startfraction 1 cosine (x) over 2 endfraction endroot) d. (startfraction 1 over 1 minus cosine (x) endfraction) e. (startfraction 1 cosine (x) over startroot 2 (1 minus cosine x) endroot endfraction) f. (startfraction 1 over 1 minus cosine (x) endfraction)
Answers
The single Trigonometric function is √2/2.
Trigonometric Function:
In mathematics, trigonometric functions (also called circular functions, trigonometric functions, angular functions) are real functions that relate the angles of a right-angled triangle to the ratio of the lengths of its two sides. They are widely used in all geometry-related sciences such as navigation, solid mechanics, celestial mechanics, and geodesy. They are one of the simplest periodic functions and are often used to study periodic phenomena using Fourier analysis.
The most commonly used trigonometric functions in modern mathematics are sine, cosine, and tangent. Their reciprocals are cosecane, secane, and cotangent, respectively, and are seldom used. Each of these six trigonometric functions has a corresponding inverse and a hyperbolic analogue.
According to the question:
Following are the solution to the given expression:
Given:
0 < x < π/2
\(\frac{sin \frac{x}{2} + cos \frac{x}{2} }{1-cos \frac{x}{2} }\)
To find:
value=?
Solution:
0 < x < π/2
\(\frac{sin \frac{x}{2} + cos \frac{x}{2} }{1-cos \frac{x}{2} }\)
Now,
Let x = π/2
\(\frac{sin \frac{x}{2} + cos \frac{x}{2} }{1-cos \frac{x}{2} }\)
\(\frac{\frac{1}{\sqrt{2} * 1} }{1-0}\)
\(\frac{1}{\sqrt{2} } * \frac{\sqrt{2} }{\sqrt{2} }\)
\(\frac{\sqrt{2} }{2}\)
Therefore, the answer is \(\frac{\sqrt{2} }{2}\).
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10) Find the least number that must be subtracted from the following numbers to make them perfect squares. a) 1098 b) 4498
Answers
Answer:
a. 9
b. 9.
Step-by-step explanation:
a) √1098 = 33.136
33^3 = 1089
So the answer is 1098 - 1089
= 9.
b) √4498 = 67.067
67^2 = 4489
Answer = 9.
Answer:
a). 9
b). 9
Step-by-step explanation:
a) If you try to subtract 1 to 8 from 1098, it won't make a perfect square. But if you subtract 9 from 1098 (that will make it 1089), it will make a perfect square.
√1089 = 33
33² = 33 × 33 = 1089
So the answer is 9.
b). If you try to subtract 1 to 8 from 4498, it won't make a perfect square. But if you subtract 9 from 4498 (that will make it 4489), it will make a perfect square.
√4489 = 67
67² = 67 × 67 = 4489
So the answer is 9.
Hope you understand ◉‿◉ (◠‿◕)
if one zero of the polynomial p(x)= x^2+3x+k is 2 then find the value of k
Answers
When one zero of the polynomial p(x) = x^2 + 3x + k is 2, the value of k is -10.
If one zero of the polynomial p(x) = x^2 + 3x + k is 2, it means that when we substitute x = 2 into the polynomial, the result is zero.
Let's substitute x = 2 into the polynomial p(x) and set it equal to zero:
0 = (2)^2 + 3(2) + k
0 = 4 + 6 + k
0 = 10 + k
To solve for k, we subtract 10 from both sides of the equation:
k = -10
Therefore, when one zero of the polynomial p(x) = x^2 + 3x + k is 2, the value of k is -10.
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The Value Line Survey, a service for common stock investors, provides its subscribers with up- to-date evaluations of the prospects and risks associated with the purchase of a large number of common stocks. Each stock is ranked 1 (highest) to 5 (lowest) according to Value Line’s estimate of the stock’s potential for price appreciation during the next 12 months. Suppose you plan to purchase stock in three electrical utility companies from among seven that possess rankings of 2 for price appreciation. Unknown to you, two of the companies will experience serious difficulties with their nuclear facilities during the coming year. If you randomly select the three companies from among the seven, what is the probability that you select:
(a) None of the companies with prospective nuclear difficulties?
(b) One of the companies with prospective nuclear difficulties?
(c) Both of the companies with prospective nuclear difficulties?
Answers
If three electrical utility companies are randomly selected from a group of seven, where two companies are expected to experience nuclear difficulties, the probability of selecting none of the companies with nuclear difficulties is calculated using combinations. The probability of selecting one of the companies with nuclear difficulties is determined by multiplying the probability of selecting one specific company with the probability of not selecting the other company. The probability of selecting both companies with nuclear difficulties is calculated by multiplying the probabilities of selecting each company individually.
To calculate the probability of selecting none of the companies with nuclear difficulties, we need to find the number of ways to select three companies out of the remaining five companies (without nuclear difficulties) divided by the total number of ways to select three companies from the seven available. The calculation is done using combinations, yielding C(5,3)/C(7,3) = 10/35 = 2/7.
To calculate the probability of selecting one of the companies with nuclear difficulties, we multiply the probability of selecting one specific company (2/7) by the probability of not selecting the other company (5/6), as there are two companies with nuclear difficulties but only one slot available. This results in (2/7) * (5/6) = 5/21.
Lastly, to calculate the probability of selecting both companies with nuclear difficulties, we multiply the probability of selecting each company individually. This gives us (2/7) * (1/6) = 1/21.
Therefore, the probability of selecting none of the companies with nuclear difficulties is 2/7, the probability of selecting one of the companies with nuclear difficulties is 5/21, and the probability of selecting both companies with nuclear difficulties is 1/21.
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I need help asap pls
Answers
9514 1404 393
Answer:
a) ∠DAE = 33°; ∠ABD = 57°
b) ∠CEB = 90°
c) ∠ABE = 22°
d) ∠ADE = 15°
Step-by-step explanation:
The diagonals of a rhombus meet at right angles. Each bisects the corner angles at its ends. Adjacent angles are supplementary, opposite angles are congruent, and each diagonal creates two isosceles triangles.
a) ∠DAE = 90° - ∠ADE = 90° -57°
∠DAE = 33°
∠ADE = ∠ABD = 57°
__
b) ∠CEB = 90° . . . . . the diagonals meet at right angles
__
c) ∠ABE = 44°/2
∠ABE = 22°
__
d) ∠ADE = 90° -(1/2)∠DAB = 90° -150°/2
∠ADE = 15°
4. explain the distinction between total and partial constraints. provide an example for each constraint.
Answers
Total constraints are restrictions on the variables of a system that must be satisfied in order for the system to be valid.
An example of a total constraint is the equation x + y = 5, which states that the sum of two variables must equal 5 in order for the equation to be valid.
Partial constraints are restrictions on the variables of a system that, while not always required to be satisfied, can help to limit the scope of a problem.
An example of a partial constraint is the inequality x ≥ 3, which states that the variable x must be at least 3 in order for the equation to be valid. However, this does not mean that x must always be 3 or more; it just sets a minimum bound for the variable.
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Click through and select the graph that correctly shows the following points:
X(-2, 0), Y(3, -5), and Z(0, 3).
Answers
Answer:
The second graph
Step-by-step explanation:
each of the points you listed are graphed on there.
Answer:
the answer is graph number 2
it has X(-2, 0), Y(3, -5), and Z(0, 3) points on it !
Write the word sentence as an equation and then solve
-7 increased by a number n is 12
A: -n - 7 = 12n = -19
B: 12+n = -7n = 7/12
C: -7 + n =12n=19
D: None of the Above
Answers
Answer:
It may be C or D
I think its C.
Sorry if I'm wrong.
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
let the number be n then increasing - 7 by n is - 7 + n and
- 7 + n = 12 ( add 7 to both sides )
n = 19
There is a screenshot below showing my question. Please help asap, will name branliest plus its 10 points :)
Answers
Answer:
h = 9km
Step-by-step explanation:
area of a trapezoid= ½ x (a+b) x h
117 = (2+2+11 +11) / 2 x h
h = 117 / 26÷2
h = 9km
What is the domain of the function
y=sqrt x?
Answers
Answer:
D: {0 ≤ x < ∞}
Step-by-step explanation:
0 less than or equal to x < infinity
here's a tip! to type a square root, use ALT and type 251 with NumLock on and then release ALT and you'll have a square root! :) have a great day.
As the number of degrees of freedom for a t distribution increases, the difference between the t distribution and the standard normal distribution.
Answers
The standard normal distribution becomes smaller.
What is standard deviation?
Your dataset's average level of variability is represented by the standard deviation. It reveals the average deviation of each statistic from the mean. A low standard deviation denotes that values are grouped close to the mean, whereas a large standard deviation shows that values are often far from the mean.Think about the following data: 2, 1, 3, 2, 4. The average and the sum of squares representing the observations' variances from the mean will be 2.4 and 5.2, respectively. This means that (5.2/5) = 1.01 will be the standard deviation.As the number of degrees of freedom for a t distribution increases, the difference between the t distribution and the standard normal distribution
becomes smaller.
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Guys i need help i don’t want a link tho i just want a direct answer
Answers
Answer:
1.25 gallons/week i think
Step-by-step explanation:
What is the value of x in this triangle?
Answers
Answer:
\(\huge\boxed{\sf x = 83\°}\)
Step-by-step explanation:
Statement:The sum of internal angles of a triangle equals 180 degrees.Solution:So,
x + 53 + 44 = 180
x + 97 = 180
Subtract 180 from both sidesx = 180 - 97
x = 83°\(\rule[225]{225}{2}\)
Answer:
x = 83
Step-by-step explanation:
You can apply the theory of euclidean triangle: all three measurements of a triangle sum up and equal to 180°.
Therefore, we sum three angles and set to 180°
\(\displaystyle{x^{\circ} + 44^{\circ} + 53^{\circ} = 180^{\circ}}\\\\\displaystyle{x^{\circ} + 97^{\circ} = 180^{\circ}}\)
Solve for x; subtract both sides by 97°:
\(\displaystyle{x^{\circ} + 97^{\circ}-97^{\circ}= 180^{\circ}-97^{\circ}}\\\\\displaystyle{x^{\circ} = 83^{\circ}}\)
Therefore, x = 83
write the slope-intercept form of the equation of each line given the slope and y-intercep
slope = 1/2, y-intercept =4
Answers
Answer:
i wanted to awnser and get brain but its ok y=1/2x+4
Step-by-step explanation: