Answer:
-25 and -4
Step-by-step explanation:
to solve this, you need to use the sum product pattern. this means you're going to take the x factor, 29x and separate it into it's squares.
(x^2+25x)+(4x+100)
then you take out the common factor in each separated equation
x(x+25)+4(x+25)
you see that the items in the parentheses are the same, this means that this is one of the equations you will use when factoring. the rest of the equation that is left out (the common factors) is the other equation
(x+25)(x+4)
to get the zeroes, you set each equation equal to zero and solve
x+25=0 x+4=0
x= -25 x= -4
does any body know math
Answer:
yes I do
Step-by-step explanation:
can you help me with my question In the extended simile of the underlined passage from Paragraph 15 of "A Wagner Matinee," the narrator makes an observation about the soul that aring rokol been A. it is like a strange moss on a dusty shelf that, with excruciating suffering, can wither and die y for I the be B though after excruciating suffering it may seem to wither, the soul never dies, C. excruciating, interminable suffering that goes on for half a century can kill the soul.
3ft= how many inches
Answer:
36 inches.
There are 12 inches in 1 foot, and snce there are 3, then you will multiply:
12 * 3 = 36
Step-by-step explanation:
Hope it helps! =D
Fatimah is x years old and nadia is 3 years older than fatmah. find expression, in it's simplest form in terms of x, for the sum of the girls ages in two years time and in y years time
The algebraic formula that represents the situation of the age difference between Fatimah and Nadia is x + 3 = y, where x, y > 0 and y > x.
How to derive an algebraic expression from a word problem
Herein we have a situation where two people have different ages, Fatimah has an age such that she is 3 years younger than Nadia. Let be x and y variables that respesent the ages of Fatimah and Nadia, respectively. In summary, the word problem can be reduced into the following algebraic expression:
y - x = 3 (Expression that represents age difference between Fatimah and Nadia)
x + 3 = y, where x, y > 0 and y > x. (1)
The algebraic formula that represents the situation of the age difference between Fatimah and Nadia is x + 3 = y, where x, y > 0 and y > x.
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The area of a regular octagon is 25 cm2. What is the area of a regular octagon with sides four times as large?
2500 cm2
465 cm2
100 cm2
400 cm2
The area of the regular octagon with sides four times as large is 400 cm².
The area of a regular polygon is directly proportional to the square of its side length. If the side length of a regular octagon is multiplied by a factor of k, then the area of the new regular octagon will be multiplied by a factor of k^2.
In this case, the side length of the original regular octagon is multiplied by a factor of 4. Therefore, the area of the new regular octagon will be multiplied by a factor of (4^2) = 16.
Given that the area of the original regular octagon is 25 cm², the area of the new regular octagon will be:
Area of new octagon = Area of original octagon * (factor)^2
= 25 cm² * 16
= 400 cm²
Therefore, the area of the regular octagon with sides four times as large is 400 cm².
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1.5 in.
1.5 in.
8 inches tall
The tube of toothpaste shown costs $3.45. Estimate the price per cubic inch of toothpaste.
Answer:
per inch 0.90 cents hhhhhhjjkolllll
16x2 + 56x + 49 Is this a special product? If yes, what type
Solution
Since
\(16x^2+56x+49=\left(4x+7\right)^2\)Yes, it's a special product.
Its type is a Perfect square
4x+y+2z=4
5x+2y+z=4
x+3y=3
Objective: Solve systems of equations with three variables using addition/elimination.
Solving systems of equations with 3 variables is very similar to how we solve systems with two variables. When we had two variables we reduced the system down
to one with only one variable (by substitution or addition). With three variables
we will reduce the system down to one with two variables (usually by addition),
which we can then solve by either addition or substitution.
To reduce from three variables down to two it is very important to keep the work
organized. We will use addition with two equations to eliminate one variable.
This new equation we will call (A). Then we will use a different pair of equations
and use addition to eliminate the same variable. This second new equation we
will call (B). Once we have done this we will have two equations (A) and (B)
with the same two variables that we can solve using either method. This is shown
in the following examples.
Example 1.
3x +2y − z = − 1
− 2x − 2y +3z = 5 We will eliminate y using two different pairs of equations
5x +2y − z = 3
1
3x +2y − z = − 1 Using the first two equations,
− 2x − 2y +3z = 5 Add the first two equations
(A) x +2z = 4 This is equation (A), our first equation
− 2x − 2y +3z = 5 Using the second two equations
5x +2y − z = 3 Add the second two equations
(B) 3x +2z = 8 This is equation (B), our second equation
(A) x +2z = 4 Using (A) and (B) we will solve this system.
(B) 3x +2z = 8 We will solve by addition
− 1(x +2z) =(4)( − 1) Multiply (A) by − 1
− x − 2z = − 4
− x − 2z = − 4 Add to the second equation, unchanged
3x +2z = 8
2x = 4 Solve, divide by 2
2 2
x = 2 We now have x! Plug this into either(A) or(B)
(2) +2z = 4 We plug it into (A),solve this equation,subtract 2
− 2 − 2
2z = 2 Divide by 2
2 2
z = 1 We now have z! Plug this and x into any original equation
3(2) +2y − (1)= − 1 We use the first, multiply 3(2) =6 and combine with − 1
2y + 5= − 1 Solve,subtract 5
− 5 − 5
2y = − 6 Divide by 2
2 2
y = − 3 We now have y!
(2, − 3, 1) Our Solution
As we are solving for x, y, and z we will have an ordered triplet (x, y, z)
In the equation G = 16 - G represents the number of gallons of gas left in Mark's car after he drives d miles. What does the number 16 represent in this equation?
O the number of miles driven
the number of gallons that remain in the car
the number of miles per gallon the car averages
the initial number of gallons of gas that were in the car
Answer:
The initial number of gallons of gas that were in the car
Step-by-step explanation:
The gallons left needs a starting value. 16 is the initial gallons of gas, from which gas consumed is subtracted.
Round 45,621 to each place given below. a. to the nearest ten ___ b. to the nearest hundred ___ c. to the nearest thousand ___ d. to the nearest ten thousand ___
The number on round off to each place will be 45,621.
The decimal number is rounded to any place by the following concept -
We look at the number to the right of concerned digit. If that number is more than five or exactly five, then we add 1 to our number. However, if it is less than five, then the number remains same.
For instance, if we round 45.621 to nearest tenth, we will get 45.6. This is because on right to it, the number 2 is less than 5. Now, in the mentioned digit which is 45,621, we see there is no decimal and number after that. So, as the digits are 0 which is less than 5, the number will remain as it is.
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Factor by grouping plz show steps!
Answer:
Step-by-step explanation:
4y(y^2+6)+7(y^2+6)
answer:(4y+7)(y^2+6)
need answer quick please answer
Answer: 24.96
Step-by-step explanation: just multiply them together
2. In his bakery, Al Pastore decorated 18
cakes at a time. Al's daughter, Noamy,
decorated 6 cakes at a time. If they
ended up decorating the same number of
cakes by the end of the day, what is the
smallest number of cakes that each must
have decorated? (Hint: LCM or GCF?)
critical thinking, teamwork, leadership, and professionalism are some of the knowledge competencies needed for career readiness. True or False
10 points!
In this triangle, what is the value of x?
Enter your answer, rounded to the nearest tenth, in the box.
x =
km
Find the length of the midsegment of the trapezoid.
M
MN
18
10
The length of the midsegment of the trapezoid is 14 units
How to find the length of the midsegment of the trapezoid?The midsegment of a trapezoid is the segment connecting the midpoints of the two non-parallel sides.
The length of the midsegment of a trapezoid is half of the sum of the lengths of the two parallel sides. Thus:
The length of the midsegment MN = (18+10)/2 = 28/2 = 14 units
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uppose that a certain data set contains the variable HEIGHT (giving a person's height) and the variable GENDER (coded O=female, 1=male). Then the y-intercept of the regression equation predicting HEIGHT from GENDER is given by: Select one: a. how much shorter females are than males, on average. b. how much taller males are than females, on average. c. the average height of females in the data set. d. the average height of males in the data set. e. the proportion of females in the data set. f. the proportion of males in the data set. g. it is not appropriate to interpret the y-intercept in this case.
The data set contains the variable height (giving a person's height) and the variable gender (coded O=female, 1=male). Then the y-intercept of the regression equation predicting height from gender is given by: option c) the average height of females in the data set.
The y- intercept of a direct retrogression relationship represents the value of one variable when the value of the other is zero. Non-linear retrogression models also live, but are far more complex. Retrogression analysis is a important tool for uncovering the associations between variables observed in data, but can not fluently indicate occasion. The data set contains the variable height (giving a person's height) and the variable gender (enciphered O = womanish, 1 = manly). also the y- intercept of the retrogression equation prognosticating height from gender is given by option c) the average height of ladies in the data set.
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What multiplication equattion can be used to explain the solution to 15 / 1/3
Step-by-step explanation:
15 / (1/3) is equal to 15 x 3/1 = 15 x 3 = 45
For questions 6-10, find The difference of the polynomials, write your answers in descending order
6. (3x^2-9x+4)-(2x^2+2)
Answer:
x^2-9x+2
Step-by-step explanation:
Remove the unnecessary parenthesis.
So 3x^2-9x+4-2x^2+2
Then just combine like terms.
A water park offers two types of membership an unlimited use for $70 per month or a monthly $10 fee and $5 per visit which is the better plan?
Two membership options are available at a water park: unlimited use for $70 per month or $10 per month plus $5 per visit. 12 visits are the preferred schedule.
AQUAPARK THE BIGGEST IN THE NETHERLANDS! An incredible sight to behold a floating playground island that is 2,000 square meters in size and made up of various floating playsets. For anyone who like climbing, sliding, and jumping, this is a veritable wonderland. Malta's waters received a 96.6% outstanding rating in the assessment and are renowned for their clear waters and undeveloped coasts. Look no farther if you're searching for one of Europe's cleanest open-water locations. Siam Park is the place to go if you want a rush of adrenaline and fast-moving water rapids. While travelling with children, Aqualand is a great option if you're seeking for more family-friendly rides.
The cost of a $10 monthly charge plus $5 for each visit can be calculated as follows:
Cost = 10 + 5*v
where v denotes the monthly visits.
If both membership levels have the same price, then:
\(10 + 5*v = 70\)
\(5*v = 70 - 10\)
\(v = 60/5v = 12\)
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A) Set up an integral for solving dy/dx = sin (7x) when y(0) = −7.
B) Evaluate your answer to the previous part to find y(x).
The value of y(x) when y(0) = -7 is;y = -cos(7x)/7 - 48/7.
Set up an integral for solving dy/dx = sin (7x) when y(0) = −7.The differential equation is as follows;dy/dx = sin(7x)By taking the antiderivative of both sides;∫dy/∫sin(7x) = ∫dx ∫dy = -cos(7x)/7 + C1, where C1 is the constant of integration.Then by solving for C1, we get;y(0) = -cos(0)/7 + C1 => C1 = y(0) + 1/7
Hence the general solution is;y = -cos(7x)/7 + y(0) + 1/7B) Evaluate your answer to the previous part to find y(x).
From the solution we obtained in part (a), we can plug in the values of x and y(0) into the general solution as follows;y = -cos(7x)/7 + (-7) + 1/7y = -cos(7x)/7 - 48/7Therefore the value of y(x) when y(0) = -7 is;y = -cos(7x)/7 - 48/7.
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(Equivalent Algebraic Expressions LC)
Simplify this please!!!
Answer: X^3 / Y^5
The first answer choice
Step-by-step explanation:
What is the convertion amu to kg?
The following formula is used for conversion of amu to kg:
1 amu = 1.66054 x \(10^{-27}\)kg
The atomic mass unit (amu) is a unit of mass used in chemistry and physics to express the masses of atoms and molecules, whereas the kilogramme (kg) is the International System of Units' basic unit of mass (SI). We may use the following relationship to convert from amu to kg:
1.66054 x \(10^{-27}\)kg = 1 amu
To convert a mass from amu to kg, multiply the mass in amu by 1.66054 x \(10^{-27}\). For instance, if we have a mass of 10 amu, we may convert it to kg using the formula:
10 amu x 1.66054 \(10^{-27}\) kg/amu = 1.66054 \(10^{-26}\) kg.
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what is the difference between the maximum and minimum values of f ?
f(x) = cos (2x) + cos x
how do i find the max and min of such?
The maximum value of the function f ( x ) = 2
The minimum value of function f ( x ) = - ( 9/8 )
The difference between the maximum and minimum values of f ( x ) = 25/8
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as f ( x )
The value of f ( x ) = cos (2x) + cos x be equation (1)
On simplifying the equation , we get
To maximize f ( x ) = cos ( 2x ) + cos x , differentiate it with respect to x
So ,
f' ( x ) = -2 sins ( 2x ) - sinx
And , For the function to achieve a minimum value , f′(x) should be 0
So , Substituting the values in the equation , we get
-2 sins ( 2x ) - sinx = 0
Adding sinx on both sides of the equation , we get
-2 sins ( 2x ) = sin x
-2 ( 2 sin x cos x ) = sin x
Divide by -4 on both sides of the equation , we get
sin x cos x = sin x / 4
Divide by sin x on both sides of the equation , we get
cos x = ( -1/4 )
Hence minimum value is f ( x ) = 2 x ( 1/16 ) - ( 1/4 ) - 1
The minimum value of f ( x )= - 9/8
And , the function is maximum at cosx = 1
So , f ( x ) = 2 x 1 - 1 + 1 = 2
The maximum value of f ( x )= 2
So , the difference between the maximum and minimum values of f ( x ) =
Maximum value - Minimum value = ( 2 - ( -9 / 8 ) )
Maximum value - Minimum value = ( 16 + 9 ) / 8
Maximum value - Minimum value = 25/8
Hence , the difference between the maximum and minimum values of function f ( x ) is = 25/8
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you are going to have your hair trimmed. what metric measurement will you use when telling your hairdresser how much to take off the ends?
The metric measurement will you use when telling your hairdresser how much to take off the ends is centimetres (cm).
The decimalized meter-based system of measurement that had been adopted in France in the 1790s was replaced by the metric system. The International System of Units (SI), which was invented/created in the middle of the 20th century with the help of an international standards body, was the historical culmination of the development of these systems.
The term "metrication" refers to the adoption of the metric system. The historical development of metric systems has led to the acceptance of a number of principles. A single base unit of measurement expresses all of nature's essential dimensions. More and more often now, natural principles rather than replicas of physical artifacts are used to define base units.
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What is the ratio of X to O?
Answer:
x:o
Step-by-step explanation:
Answer:
X : O
Step-by-step explanation:
That's a ratio.
How many different committees of six people can be selected from nine people?
ANSWER
\(84\)EXPLANATION
To find the number of committees of six people that can be selected from nine people, we apply Combination:
\(^nC_r=\frac{n!}{(n-r)!r!}\)Therefore, we have:
\(\begin{gathered} ^9C_6=\frac{9!}{(9-6)!6!} \\ \Rightarrow\frac{9\cdot8\cdot7\cdot6!}{3!6!} \\ \Rightarrow\frac{9\cdot8\cdot7}{3\cdot2\cdot1} \\ \Rightarrow84 \end{gathered}\)Hence, there are 84 different ways of selecting.
consider polar functions r = 1 cos(θ) and r = 1 − cos(θ), 0 ≤ θ ≤ 2π. find the area of the shaded region.
The area of the shaded region bounded by the polar functions r = 1 cos(θ) and r = 1 − cos(θ), 0 ≤ θ ≤ 2π is 5/2 + 3/4π - 3√2/4.
To find the area of the shaded region bounded by the polar functions r = 1 cos(θ) and r = 1 − cos(θ), 0 ≤ θ ≤ 2π, we need to perform the following steps:
Graph the two polar functions Find the points of intersection between the two functions
Set up the integral for the area of the shaded region
Integrate the function over the given interval to find the area of the shaded region.
Graph of the two polar functions r = 1 cos(θ) and r = 1 − cos(θ), 0 ≤ θ ≤ 2π is shown below:
The two polar functions intersect at θ = π/2 and θ = 3π/2 (as shown in the graph).To find the area of the shaded region,
we need to set up the integral as follows:∫(from 0 to π/2) [1/2 (1−cos θ)² - 1/2 (1 cos θ)²]dθ + ∫(from π/2 to 3π/2) [1/2 (1−cos θ)² - 1/2 (1 cos θ)²]dθ + ∫(from 3π/2 to 2π) [1/2 (1−cos θ)² - 1/2 (1 cos θ)²]dθ.
Simplifying the integral, we get:∫(from 0 to π/2) [1/2 - cos θ + 1/2 cos² θ]dθ + ∫(from π/2 to 3π/2) [1/2 - cos θ + 1/2 cos² θ]dθ + ∫(from 3π/2 to 2π) [1/2 - cos θ + 1/2 cos² θ]dθ.
On integrating, we get: 1/4 [ 7 sin (θ) - sin (2θ) + 2θ ] from 0 to π/2 + 1/4 [ 7 sin (θ) - sin (2θ) + 2θ ] from π/2 to 3π/2 + 1/4 [ 7 sin (θ) - sin (2θ) + 2θ ] from 3π/2 to 2π.
Substituting the limits in the above expression, we get:Area of the shaded region = 5/2 + 3/4π - 3√2/4So, this is the main answer for the given problem which is computed as per the steps above. Answer more than 100 words are provided above.
The conclusion is that the area of the shaded region bounded by the polar functions r = 1 cos(θ) and r = 1 − cos(θ), 0 ≤ θ ≤ 2π is 5/2 + 3/4π - 3√2/4.
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the gram-schmidt process produces from a linearly independent set {x1, x2, . . . , xp} an orthogonal set {v1, v2, . . . , vp} with the property that span{v1, . . . , vk}
The statement is true.
An orthogonal set with the same dimension as the initial collection of vectors is created by the Gram-Schmidt process.
Given that,
From a linearly independent collection of {x₁, x₂,..., xp}, the gram-Schmidt process creates an orthogonal set of {v₁, v₂,..., vp} with the feature that for each k, the vectors v₁...vk span the same subspace as that spanned by x₁...xk.
Whether the claim is true or false must be determined.
The statement is true.
An orthogonal set with the same dimension as the initial collection of vectors is created by the Gram-Schmidt process. An orthogonal set is further linearly independent. The orthogonal set produced by the Gram-Schmidt process and the original set will cover the same subspace if their dimensions are the same.
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PLEASE HELP ME!
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Given the proportion a/b = 8/15, what ratio completes the equivalent proportion a/8=?
Answer:
a/8 = b/15
Step-by-step explanation:
a/b = 8/15 -- divide both side by 8 and multiple both side by b
a/8 = b/15
First use the digits in the box to create the largest possible number. Then use the same digits to create the smallest possible number. Then find the difference between the two numbers.
Answer:
What are the digits in the box?
Step-by-step explanation: