In order to find the y− intercept of a parabola in factored form, plug in 0 for x and find the corresponding y− value
What is coordinates of a vertex in factored form?The simplest way to obtain a vertex in factored form is to locate the axis of symmetry, substitute that as x, and then solve for y. With the formula x=r+s2, which means that r and s are the zeros, it is possible to determine the axis of symmetry. x is the vertex's x-component, or the axis of symmetry. Using the formula x=-b/2a, find the quadratic's vertex, and then substitute the result for y in the original equation. After that, enter the vertex as a variable in the vertex form equation, y=a(x-h)2+k. (A remains the same, h equals x, and K equals y.)The factored form of a quadratic expression is one in which the quadratic expression is the product of two factors, each of which is a linear expression. By extending it, which entails multiplying out the factors, a factored expression can be restated in standard form.To learn more about coordinates refer to:
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edin has £300 in his savings account.
his bank offers him a fixed 5% simple interest rate per annum,
for a peirodof 3 years.
how much interest will he earn in 3 years?
The simple interest earned by Edin after 3 years is $45.
Define the term simple interest?Simple interest is calculated based on a loan's principal or the initial deposit into a savings account. Simple interest does not really compound, therefore a creditor will indeed charge interest upon that principal sum, and a borrower will never be required to pay further interest on the interest which has already accrued.The formula for the simple interest is-
SI = PRT/100
Amount P = £300Rate of Interest r = 5%Period n = 3 yearsThe interest which would be earned in 3 years:
SI = 300*5*3 / 100
SI = 45
Thus, the interest earned by Edin after 3 years is $45.
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Jon and Becky measured the circle-shaped part of a sun they drew on the sidewalk. The diameter of the circle is 66 centimeters. What is the approximate area of the circle? (Use 3.14 for .) A. 854.865 cm2 B. 3,419.46 cm2 C. 207.24 cm2 D. 13,677.84 cm2
The correct option for the area of the circle is B. 3,419.46 cm².
What is area of a circleThe area of a circle is π multiplied by the square of the radius. The area of a circle(A) when the radius 'r' is given is πr².
Area of circle = πr²
π = 3.14
radius = diameter/2
radius of the circle = 66 cm/2
radius of the circle = 33 cm
Area of the circle = 3.14 × (33 cm)²
Area of the circle = 3.14 × 1089 cm²
Area of the circle = 3419.46 cm²
Therefore, the area of the circle measured by Jon and Becky is equal to 3,419.46 cm².
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Someone help me please !
Answer:
1
Step-by-step explanation:
X= -3-2=-5
y= -2-3=-5
-5/-5=1
help me fast as you can, please!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Divide by 2
Step-by-step explanation:
48 divided by 2 is 24 and 24 divided by 2 is 12.
PLEASE HELP ASAP!!!!!
Therefore ,ecklaces cost $15.67, and the equation for the inequality in the statement is $7.62, therefore 7.62x + 15.67y ≥ 450.
What is inequality, exactly?In mathematics, an inequality is a link between two phrases or values that isn't equal. As a result, inequality results from imbalance. In mathematics, an inequality establishes a connection between two non-equal numbers. Egality is different from inequality. Use the or equal sign most frequently to indicate that two values really aren't equal (). Values of any size can be contrasted using various inequalities. By changing the two sides till it variables are all that is left, many straightforward inequalities can be resolved. But a lot of factors support inequality: On either side, negative values are split or added. Exchange lefts
Here,
Let X equal the quantity of bracelets.
give Y the quantity of necklaces.
Equation of inequality: 450 = 7.62x + 15.67y
Inequality in the sentence's equation Because bracelets cost $7.62 and necklaces cost $15.67,
her revenue needs to be at least $450 (7.62x + 15.67y ≥ 450).
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The first number is 5 less than 3 times the second number. Four times the first number
minus two times the second number is ten. Find the numbers.
Answer:
The first number is 4, the second is 3
Step-by-step explanation:
We can make 2 equations, let x be the first number, and y be the second number.
x = 3y - 5
4x - 2y = 10
We sub x = 3y - 5
=> 4(3y - 5) - 2y = 10
=> 12y - 20 - 2y = 10
=> 10y - 20 = 10
=> 10y = 30
=> y = 3
Sub y = 3 into x = 3y - 5
x = 3(3) - 5
x = 4
Therefore, the first number is 4, and the second is 3
Only one more question to my assignment! Please tell me what to write in part A and B, Thank you
Answer:
A) See below
B) Yes
Step-by-step explanation:
A)
Substitute 0 for x
3(x + 2) + 2x - 1
3(0 + 2) + 2(0) -1
3(2) + 0 - 1
6 + 0 - 1
5
5x + 5
5(0) + 5
0 + 5
5
B
Yes, I got the same answer 5.
We can also simplify the first expression and we can see that the expressions are equal.
3(x + 2) + 2x -1 Distribute the 3
3x + 6 + 2x -1 Combine like terms
5x + 5
This equals the second expression.
A wood stove burns 4 same-sized logs in 2 hours. How many log does the stove burn in 8
hours?
Answer:
16 logs
because if 4 logs are burned in 2 hours then in 8 hours it would be 16 because 2hrs times 4 is 8 hours
you do the same to the logs which is 4 x 4
then u get 16
hope this helps!
what is the answer to this question?
How do you find the ratio of a circle formula?
The ratio of a circle can be found through the formula A = πr2, where A is the area of the circle and r is the radius of the circle.
To find the ratio of a circle, you must first calculate the area of the circle. To calculate the area, multiply the value of π (3.14159) by the square of the radius (r2). For example, if the radius of the circle is 4, the area of the circle would be 3.14159 x 42, which is equal to 50.2653. The ratio of a given circle can then be found by dividing the area of the circle (50.2653) by the square of the radius (42), which gives 1.273.
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Can someone pls help me. The test is time so please help quickly. The picture should be linked.
Answer:(f+g) is 2668, (f-g) is -2800
Step-by-step explanation:
Find the missing side length. Round to the nearest tenth if needed.
Answer:
b = 10.24 units.
Step-by-step explanation:
Pythagorean Theorem The Pythagorean Theorem explains the connection between a right triangle's three sides. The area of the square produced on the hypotenuse of any right triangle is equal to the sum of the areas of the squares formed on its legs: a2 + b2 = c2.a, is the shortest leg of the triangle or the opposite.b, is the adjacent leg of the triangle. This leg typically forms the right angle of the triangle.c, is the hypotenuse. This is the longest leg of the triangle. Applying the theorem[tex]a^{2} + b^{2} = c^{2}[/tex][tex]4^{2} + b^{2} = 11^{2}[/tex][tex]16 + b^{2} = 121[/tex][tex]b^{2} = 121-16[/tex][tex]b^{2} = 105[/tex][tex]\sqrt{b^{2}} = \sqrt{105}[/tex][tex]b = 10.24[/tex]The adjacent is 10.24 units long.
Please let me know if this helped!!!
The wages of four employees in the mail department are represented below. Use the information
to answer the questions.
STEPH
HOURS
15
18
21
24
27
WAGES
$157.50
$189.00
$220.50
$252.00
$283.50
LAYLA
Owner;
She pays herself
twice the sum of the
other employees'
weekly wages.
MARCO
w = 9h
WAGES ($)
1000
900
800
700
600
500
400
300
200
100
DESTINY
10 20 30 40 50 60 70 80 90 100
TIME (HOURS)
The profit of the owner is $2204, if her payment is twice the sum of the
other employees' weekly wages.
What is wages?A wage is the payment made to employees for the time they put in working for their employer. Always based on a specific period of time, wages are paid. On an hourly basis, typically. This is the origin of the phrase hourly worker. Salary and commissions are some additional types of payment.
Pay for lower level employees is determined by the number of hours worked. To record the number of hours worked each week, these employees typically use a time sheet or time card. To keep track of hourly employee hours, the majority of modern employers use computerised systems.
To enter their hours worked, employees must log in and out of the system. These workers are then paid either weekly or biweekly, depending on the state.
Given that the owner pays herself twice the sum of the other employees' weekly wages.
Sum wage of the employees = $157.50 + $189.00 + $220.50+ $252.00+ $283.50
= $1102.5
She pays herself twice the sum
2 × $1102
= $2204
Thus, the profit of the owner is $2204.
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1. Find the length of an arc in a circle with a radius of 8 cm and a central angle of 197
On solving the provided question we can say that the radius of circle is 2.1415 cm.
What is circle?Every point in the plane that is a certain distance away from a certain point forms a circle (center). It is, thus, a curve formed by points moving in the plane at a fixed distance from a point. At every angle, it is also rotationally symmetric about the center. A circle is a closed two-dimensional object where every pair of points in the plane are equally spaced out from the "center." A line that goes through the circle creates a specular symmetry line. At every angle, it is also rotationally symmetric about the center.
We know, Central angle (θ) = (length arc)/radius ….(1)
Convert angle in radian:
Angle in radians = Angle in degrees x π/180° = 197° x π/180 = 1.09
From (1),
Radius = (length arc)/Central angle
= 8/3.1415 =2.1415cm
Therefore radius is 2.1415 cm.
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An inventory study determines that, on average, demands for a particular item at a warehouse are made 5 times per day. What is the probability that on a given day this item is requested (a) more than 5 times? (b) not at all?.
(a) To find the probability that the item is requested more than 5 times on a given day, we would need to know the distribution of the demand for the item. Without that information, it is not possible to calculate this probability.
(b) To find the probability that the item is not requested at all on a given day, we would need to know the probability distribution of the demand for the item. Without that information, it is not possible to calculate this probability.
Item Demand Probabilities(a) To find the probability that the item is requested more than 5 times on a given day, we would need to know the distribution of the demand for the item. Without that information, it is not possible to calculate this probability. This is because the average demand of 5 times per day does not provide enough information to determine the likelihood of the demand exceeding 5 times. We would need to know more information such as the standard deviation, skewness, kurtosis and the underlying distribution of the data, in order to calculate this probability.
(b) To find the probability that the item is not requested at all on a given day, we would also need to know the distribution of the demand for the item. Without that information, it is not possible to calculate this probability. The average demand of 5 times per day does not provide enough information to determine the likelihood of the demand being zero. We would need to know more information such as the standard deviation, skewness, kurtosis and the underlying distribution of the data, in order to calculate this probability.
It's important to note that if the demand follows a Poisson distribution, you can use the expected value (λ = 5) to calculate the probability of the demand being zero (P(X = 0) = e^(-λ)).
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Jee ha aved $51 if we have aved five time a much money a Jee how much money ha Lee aved
Lee has saved $255. This can be found by multiplying Jee's aved amount of $51 by 5. Therefore, Lee has aved $255.
First, we need to calculate how much money Jee has aved. We know Jee has aved $51, so we multiply that by 5 to find out how much money Lee has aved.
51 x 5 = 255
Therefore, Lee has aved $255. Jee has aved $51, and if we multiply that amount by 5, we can calculate how much money Lee has aved. To find the answer, we first need to multiply 51 by 5. When we do this, we get the amount of money that Lee has aved, which is $255. This means that Lee has aved five times as much money as Jee has aved, which is $255. This can be found by multiplying Jee's aved amount of $51 by 5. Therefore, Lee has aved $255.
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A student number for a high school requires that
student identification number consist of 6 characters.
The first 4 characters can be any number without
restriction. The last 2 characters are letters and cannot
repeat. How many student ID's are possible?
(Hint: There are 10 digits and they are: 0 1 2 3 4 5
6 7 8 9.)
A: B: C: D: E: F:
————— student ID’s
Therefore , the solution of the given problem of combination comes out to be 6,500,000.
Define combination.Combinations are mathematical operations that count the variety of configurations that can be made from a set of objects, where the direction of the selection is irrelevant. You can choose any combination of the components in any order. Combinations and permutations can be confused.
Here,
Berry, we'd like to estimate the amount of potential student IDs.
among the available figures are;
Ten numbers: 0 1 2 3 4 5 6 7 8
26 alphabets, as well
There are 10 options for the first digit.
Ten alternatives for the second digits
Three digits, 10 options
10 options for the fourth digit
26 options for the first alphabet
Second Alphabet: There are 25 options available if we choose all the other alphabets outside the one we first chose.
the number of potential student IDs will therefore be;
=>10 * 10 * 10 * 10 * 25 * 26 = 6,500,000
Therefore , the solution of the given problem of combination comes out to be 6,500,000.
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reflection of (−5.25, −5.25) across the y-axis?
Answer:
(5.25, - 5.25 )
Step-by-step explanation:
under a reflection in the y- axis
a point (x, y ) → (- x, y ) , then
(- 5.25, - 5.25 ) → (-(- 5.25), - 5.25 ) → (5.25, - 5.25 )
Find the measure of each angle indicated.
help ASAP I need to do this test before jan,20,2023
Answer:
its c
Step-by-step explanation:
2 x 12= 24, 3 x 8=24 and 4 x 6=24
Aviv and Marco were trying to decribe part of the expreion
5
a
2
a
3
2a3
5a
tart fraction, 5, a, divided by, 2, a, plu, 3, end fraction. Aviv aid, "The entire expreion i the quotient of
5
a
5a5, a and
2
a
3
2a32, a, plu, 3. "
Marco aid, "On it own,
2
a
3
2a32, a, plu, 3 i a um with
2
22 term. "
Who i correct?
Both aviv and marco were correct about the expression
given that
In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context. Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.
Many authors distinguish an expression from a formula, the former denoting a mathematical object, and the latter denoting a statement about mathematical objects
Aviv and Marco were trying to describe the parts of the expression 5a/2a+3.
Aviv said, "The entire expression is the quotient of 5a and 2a+3"
Marco said, "On it's own, 2a+3 is a sum with 2 terms."
now , we need to find who is correct
according to aviv The expression 5a/2a+3 is the quotient of the terms as it can be written as 5a ÷ ( 2a+3 ).
according to marco the expression 2a+3 is sum of two terms
Therefore both aviv and marco are correct
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The family minivan can hold 14 gallons of gas. During a trip to the Seattle Zoo, the van uses 8.4 gallons of gas. What percent of the total gas was used?
Answer: To find the percent of gas used, we need to divide the amount of gas used by the total amount of gas the van can hold and multiply by 100.
Percent of gas used = (Gas used / Total gas) * 100
Given that the van uses 8.4 gallons of gas and can hold 14 gallons of gas, we can substitute these values into the formula:
Percent of gas used = (8.4 / 14) * 100
By performing this calculation we can get that the percent of gas used was: 8.4/14 = 0.6 = 60%
So, 60% of the total gas was used during the trip to the Seattle Zoo.
Step-by-step explanation:
Answer:
60%
Step-by-step explanation:
8.4 divided by 14 = 0.6. Let 1 be the 100%. Since 0.6 is the same as 0.60, we remove the decimal and make it 60.
so if you divide 30 by 775 how would get the remainder
The remainder of 30 divided by 775, is 0.0387.
What is division?The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.
The number 30 is called the numerator or dividend, and the number 775 is called the denominator or divisor.
The quotient of 30 and 775,
30 divided by 775,
that means,
30/775
= 0.0387, this is the remainder.
Therefore, 0.0387 is the remainder.
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y=x^2+6x+8 solve by completing the square.
For the given quadratic equation, the solutions are x = -3 and x = -3.
What is the completing square method?
The completing the square method is a technique used to solve quadratic equations of the form y = ax² + bx + c. The goal of this method is to convert the equation into the standard form of a quadratic equation, which is y = a(x + h)² + k, where a, h and k are constants.
To solve y = x² + 6x + 8 by completing the square, we need to add and subtract a value to the equation so that the x-term (x² + 6x) is a perfect square. In this case, we need to add and subtract (6/2)² = 9 to the equation, which gives us:
y = x² + 6x + 8
y = (x² + 6x + 9) - 1
Now, we can take the square root of the x-term, which is (x + 3)², and we get:
y = (x + 3)² - 1
The equation is now in the standard form of a quadratic equation, with y = (x + 3)² - 1. We can now solve for x by taking the square root of both sides of the equation and getting x = -3, -3 .
Alternatively, We can also solve for x by factoring the expression inside the square, which would give (x + 3) (x + 3) = 0 and x = -3, -3
Hence, for the given quadratic equation, the solutions are x = -3 and x = -3.
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Is it possible to draw a triangle the lengths of whose sides are 2cm 3cm and 4cm?
It is possible to construct a triangle whose sides are 2 cm 3 cm and 4 cm because the sum of two sides are greater than the third sides.
In the given question, we have to check that it is possible to construct a triangle whose sides are 2 cm 3 cm and 4 cm.
To check whether the given sides can make a triangle or not, we have to check that the sum of two sides always greater than the third side.
To check this we firstly add the 2 and 3
2 + 3 > 4
5 > 4
Now we add 2 and 4
2 + 4 > 3
6 > 3
Now we add 3 and 4
4 + 3 > 2
7 > 2
It is possible to construct a triangle whose sides are 2 cm 3 cm and 4 cm because the sum of two sides are greater than the third sides.
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There is a line whose slope is eight and whose Y intercept is five what is it equation in slope intercept form
Answer:
y=8x+5
Step-by-step explanation:
y=mx+b is slope intercept form
m stands for Slope = 8
b is y intercept = +5
plug it in and you get y=8x+5
Danielle's Cafe offers two kinds of espresso: single-shot and double-shot. Yesterday afternoon, the cafe sold 5 espressos in all, 5 of which were single-shot. What percentage of the espressos were single-shot?
write your answer using a percent sign (%)
100% percent of the espressos were single-shot.
What is the percentage?
Percentage is a way to express a number as a fraction of 100. It is often used to represent ratios, proportions, and rates. It is denoted by the symbol "%". For example, if you have 25 out of 100 items, you can express this as 25% to represent the proportion of items that you have.
The total number of espressos sold yesterday afternoon was 5. If 5 of them were single-shot, then 100% * 5 / 5 = 100% of the espressos were single-shot.
Hence, 100% percent of the espressos were single-shot.
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Identify or mark the missing side or angle that would make triangle ABC congruent to triangle PDF by SAS
Mark the sides BC and DF as congruent.
What are triangle?
A triangle in geometry is a three-sided polygon with three edges and three vertices.
The fact that a triangle's internal angles add up to 180 degrees is its most crucial characteristic.
This characteristic is known as the triangle's angle sum property.
If ABC is a triangle, it is written as ABC, where A, B, and C represent the triangle's vertices.
In Euclidean geometry, a triangle is a two-dimensional shape that is represented by three non-collinear points in a single plane.
A closed, two-dimensional shape is a triangle. It is a polygon with three sides. Straight lines make up all of the sides.
The vertex is the intersection of two straight lines. The triangle therefore has three vertices.
According to our question-
We are given a side and an adjacent angle, and we must figure out which side or angle is needed in order for SAS to provide proof.
SAS stands for side-angle-side and calls for the congruency of two sides and the included angle on both triangles.
The side of the designated angle B and D that is missing is as follows:
side DF or BC.
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At pizza Pi, 30 percent of the pizza made last week had extra cheese. If 150 pizzas were made, how many pizza had extra cheese
As 30% of the pizza were made, we will have 500 pizzas that as extra cheese.
How do we calculate the number of pizza that has extra cheese?At Pizza Pi, the number of Pizzas that had extra cheese last week = 150
The percentage of Pizzas that had extra cheese last week = 30%
Now, let us assume that number of Pizzas made last week = X. Then, we will write the equation as:
30X/100 = 150
30X = (150 * 100)
30X = 15000
X = 15000/30
X = 500. Therefore, it can be deducted that 500 pizzas were made last week .
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Which statement describes data that is normally distributed? A. The majority of the data is to the left of the mean. B. The majority of the data is to the right of the mean. C. The majority of the data is in the center with the mean. D. The majority of the data is split to the right and left of the mean.
The majority of the data is split to the right and left of the mean.
What is normal distribution?The data is mostly divided to the right and left of the mean. The normal distribution is symmetric and continuous. Positively skewed data will have a higher mean than the median. If the data distribution is tilted to the left, the mean is less than the median, which is frequently less than the mode. A probability function that defines how the values of a variable are distributed is known as the normal distribution. The mean, median, and mode values in a normal distribution are all equal. So, in the context of a normal distribution curve, point (ii) is valid.
Here,
The data is mostly divided to the right and left of the mean. The normal distribution is symmetric and continuous. Positively skewed data will have a higher mean than the median.
The data is mostly divided to the right and left of the mean.
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