Answer:
24 cm³
Step-by-step explanation:
V = LWH = 2 × 3 × 4 cm³ = 24 cm³
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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X^2 - x=2
Solve for x
Answer:
To solve for x, you can start by moving the constant 2 to the other side of the equation by adding x to both sides:
x^2 - x = 2
x^2 - x + (1/4) = 2 + (1/4)
(x - 1/2)^2 = 9/4
x - 1/2 = +- (3/2)
x = -1/2 or x = 2
So the solutions for x are -1/2 and 2.
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:
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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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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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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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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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 equation is equivalent to ? x + 9 = x + 10 x + 9 = x2 + 20x + 100 x2 + 81 = x2 + 100 x2 + 81 = x2 + 20x + 100.
The equation (√x^2+81 = x+10 ) is equivalent to D: ( x^2 + 81 = x^2 + 20x + 100).
To prove that ( √x^2+81 = x+10 )is equivalent to ( x^2 + 81 = x^2 + 20x + 100 ), we will show that one equation is a consequence of the other.
First, we begin by squaring both sides of the equation ( √x^2+81 = x+10 ). This gives us ( x^2+81 = x^2+20x+100 ).
We can see that if ( √x^2+81 = x+10 ) is true, then (x^2 + 81 = x^2 + 20x + 100) must also be true because the left side of the equation is the square of the right side.
The other way around, if ( x^2 + 81 = x^2 + 20x + 100 ) is true, then we can take the square root of both sides and get (√x^2+81 = x+10 ).
So, the equation ( √x^2+81 = x+10 ) is equivalent to ( x^2 + 81 = x^2 + 20x + 100).
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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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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.
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!!!
What should be added to the product of X and 2 to get X Class 8?
X should be subtracted from the product of X and 2 to obtain X, this can be represented as 2X - X = X, This operation is the inverse of addition, therefore it undoes the addition of X to 2X, resulting in the original number X.
To obtain the equation X from the product of X and 2, you would need to subtract X from the product. In other words, you would need to subtract the factor X from the product.
X × 2 - X = X
This can be simplified as
2X - X = X
So, X should be subtracted from the product of X and 2 to get X.
It is important to note that this is only true when X is not equal to zero, because if X is zero, any number multiplied by zero will give zero, and subtracting zero from zero will not give zero.
It can be seen that the operation of subtraction is the inverse of addition, therefore if you subtract X from 2X, you are essentially undoing the addition of X to 2X, which gives the original number X.
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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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what is the answer to this question?
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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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 )
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
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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In a bag of Christmas treats,there are 3 red candy canes for every 5 gingerbread men. If there are a total of 40 treats, how many are candy canes?
Answer:
Candy canes are a classic Christmas treat, traditionally white with red stripes and flavored with peppermint. They have been popular since the 1600s and are thought to have originated in Germany. Today, 90 percent of all candy canes are sold between Thanksgiving and Christmas.
In a bag of Christmas treats, there are 3 red candy canes for every 5 gingerbread men. If there total is 40 treats, then the number of candy canes will be 24. This can be calculated by taking 40 divided by 8 (5+3) which equals 5, and then multiplying this by 3 which equals 15. Therefore, 24 candy canes are included in the bag of 40 Christmas treats.
Step-by-step explanation:
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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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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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!
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.
What is the sin ratio of angle ~0 ? Start by finding the lengths of the sides of the triangle.
Answer:
sinΘ = [tex]\frac{4}{5}[/tex]
Step-by-step explanation:
given the point (3, 4 )
the x- coordinate indicates the horizontal length of the triangle, that is 3
the y- coordinate indicates the vertical length of the triangle, that is 4
the triangle is right and is a 3- 4- 5 , hypotenuse is 5
then
sinΘ = [tex]\frac{vertical}{hypotenuse}[/tex] = [tex]\frac{4}{5}[/tex]
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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- 44 + 3.4
what does the question equal?
Answer:
-40.6
Step-by-step explanation:
Find the measure of each angle indicated.
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.