Answer:
If I'm not mistaken that is the answer
Jeremy deposited xxx dollars in his investment account on January 111, 200120012001. The amount of money in the account doubled each year until Jeremy had 480480480 dollars in his investment account on January 111, 200520052005. What is the value of xxx
The value of x is $30.
What is the value of x?From the question, it can be deduced that Jeremy's investment account earns a compound interest. Compound interest is when the amount invested and the interest that has already accrued increases in value anytime interest is paid.
The formula that can be used to determine the value of x is:
x = FV / (1+r)^t
FV = Future value = 480R = interest rate = 100%N = number of years : 2005 - 2001 = 4X = 480 / (2^4) = $30
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Armando used algebra tiles to represent the product 3 x (2 x minus 1). an algebra tile configuration. 3 tiles are in the factor 1 spot and are labeled x. 3 tiles are in the factor 2 spot: 2 are labeled x and 1 is labeled negative. 15 tiles are in the product spot: 2 are labeled x squared, 4 are labeled x, 1 is labeled negative x, and 4 are labeled negative. which is true regarding armando’s use of algebra tiles?
The correct powers of x are not displayed in several of the goods.
What is algebraic tiles?Algebra tiles are mathematical manipulatives that help pupils better comprehend algebraic thinking and its ideas. These tiles have shown to give beginning algebra pupils in elementary, middle, high, and college concrete models.
How do algebraic tiles function?Blocks called algebra tiles can be used to symbolize constant, linear, and quadratic terms. Small yellow squares stand in for constant blocks, green rectangles for linear blocks, blue squares for quadratic blocks, and red squares for negative sides for all other types of blocks.
Future:
The image shows,
3x(2x - 1) = 6x² - 3x
This should be the appropriate representation on the tile:
_____+x _____ +x _____ +x
+x _ +x² ______+x² ______+x²
|
+x__ +x² _____ +x² ______+x²
|
- __ -x ______ -x _______-x
+6x² - 3x
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Match each quadratic equation with its solution set. 2x2 − 32 = 0 4x2 − 100 = 0 x2 − 55 = 9 x2 − 140 = -19 2x2 − 18 = 0
Correct match for the quadratic equation are:
A. {-4, 4}
B. {-5, 5}
C. {-8, 8}
D. {-11, 11}
E. {3,-3}
What is a quadratic equation ?An algebraic equation of the second degree in x is a quadratic equation. The quadratic equation is written as ax² + bx + c = 0, where x is the variable, a and b are the coefficients, and c is the constant term.
According to the given Information:First equation:2x² - 32 = 0
Adding thirty-two to both sides of the equation:
2x² = 32
Dividing between two on both sides of the equation:
x² = 322
x² = 16
Applying square root to eliminate the exponent:
x = ±√16
x = ±4
Second equation:4x² - 100 = 0
Adding hundred to both sides of the equation:
4x² = 100
Dividing between four on both sides of the equation:
x² = 100/4
x² = 25
Applying square root to eliminate the exponent:
x = ±√25
x = ±5
Third equation:x² - 55 = 9
Adding fifty-five to both sides of the equation:
x² = 9 + 55
x² = 64
Applying square root to eliminate the exponent:
x = ±√64
x = ±8
Fourth equation:x² - 140 = -19
Adding one- fourty to both sides of the equation:
x² = -19 + 140
x² = 121
Applying square root to eliminate the exponent:
x = ±√121
x = ±11
Fifth equation:2x² - 18 = 0
Adding eighteen to both sides of the equation:
2x² = 18
Dividing between two on both sides of the equation:
x² = 182
x² = 9
Applying square root to eliminate the exponent:
x = ±√9
x = ±3
Correct match for the quadratic equation are: A. {-4, 4},B. {-5, 5},
C. {-8, 8},D. {-11, 11},E. {3,-3}
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I understand that the question you are looking for is:
Match each quadratic equation with its solution set.
A. 2x2 - 32 = 0 {-8, 8}
B. 4x2 - 100 = 0 {-4, 4}
C. x2 - 55 = 9 {-5, 5}
D. x2 - 140 = -19 {-11, 11}
E. 2x2 - 18 = 0 {3,-3}
When measuring variables, it is often preferable to use a small sample size because:______.
When measuring variables, it is often preferable to use a small sample size because the smaller the sample the greater the chance of a spurious result.
What are variables?A variable is defined as any property, number, or amount that can be measured or counted. A variable is also known as a data item. Variables include age, business revenue and expenses, country of birth, capital expenditure, class grades, eye color, and vehicle type. A variable in research is essentially a person, place, object, or phenomenon that you are attempting to quantify in some way. The simplest way to comprehend the distinction between a dependent and independent variable is to consider what the words tell us about the variable in question. When measuring variables, small sample size is frequently preferred because the smaller the sample, the greater the likelihood of a misleading result.Therefore, when measuring variables, it is often preferable to use a small sample size because the smaller the sample the greater the chance of a spurious result.
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Choose the expression that represents a quadratic expression. 9x − 2 5x2 9x − 1 −2x3 8x2 − 7x 1 x4 − 12x3 8x2 − 7x 1
5x² + 9x - 1 is the expression that represents a quadratic expression.
What is quadratic expression?
Quadratic expression is an expression with the variable with the highest power of 2. The word quadratic is derived from the word quad which means square. The expression should have the power of two and not higher or lower.A quadratic expression is of the form
ax² + bx +c = 0 where a ≠ 0
The give options are-
9x - 2
5x² + 9x - 1
-2x³ + 8x² - 7x +1
[tex]x^{4} - 12 x^{3} + 8x^{2} - 7x +1[/tex]
From the given options, the only expression which is quadratic is
5x² + 9x - 1
wChoose the expression that represents a quadratic expression. 9x − 2 5x2 9x − 1 −2x3 8x2 − 7x 1 x4 − 12x3 8x2 −here a =5, b=9 and c=-1
Therefore, 5x² + 9x - 1 is the expression that represents a quadratic expression.
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Find the area of the shape
3.14 for pi
[tex]a = \frac{\pi.r {}^{2} }{4} = \frac{3.14 \times 10 {}^{2} }{4} = \frac{3.14 \times 100}{4} [/tex]
[tex]a = 78.5[/tex]
What is the sum in simplest form?
4 1/2 + 1 3/5=
6 1/10
5 1/10
6 1/5
5 4/7
Answer:
6 1/10
Step-by-step explanation:
In order to add fractions, we have to make the denominators equal. we can multiply 1/2 by 5/5 and get 5/10, and multiply 3/5 by 2/2 and get 6/10, to make the denominator equal. Now we add the fractions. 4 5/10 + 1 6/10 = 5 11/10 = 6 1/10
A complex point of the form a 3i has a distance of 29 units from –9 24i. what is the value of a? –1 5 11 19.8
The value of a = 11
What is complex numbers ?
Complex numbers are the numbers that are expressed in the form of a+ib where, a,b are real numbers and 'i' is an imaginary number called “iota”. The value of i = (√-1). For example, 2+3i is a complex number, where 2 is a real number (Re) and 3i is an imaginary number (Im).Let a + i b = (a,b)
c + i d = (c , d)
the distance between two points = [tex]\sqrt{( a - c)^{2} + (b -d )^{2} }[/tex]
put values in the formula -
[tex]\sqrt{(a- (-9))^{2} + (3 - 24 )^{2} }[/tex] = 29
square both sides
[tex]{(a + 9)^{2} + (21)^{2} } = 29^{2}[/tex]
(a + 9)² = 841 - 441 ⇒ 400
(a + 9) = √400 = + 20
a = +20 -9
So, a = -29 or 11
Therefore, the value of a = 11
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Solve the equation by first using a sum-to-product formula. (enter your answers as a comma-separated list. let k be any integer. round terms to three
Solutions of the equation are 22.5°, 30°.
The given equation is sin(5θ) - sin(3θ) = cos(4θ)
We take left side of the equation
sin(5θ) - sin(3θ) = 2cos ((5θ+3θ)/2) (sin(5θ-3θ)/2)
=2cos4θsinθ [From sum-product identity]
Now we can write the equation as
2cos(4θ)sin(θ) = cos(4θ)
2cos(4θ)sinθ - cos(4θ) = 0
cos(4θ)[2sinθ - 1] = 0
cos(4θ) = 0
4θ = 90°
θ = 90/4
θ = 22.5°
and (2sinθ - 1) = 0
sinθ = 1/2
θ = 30°
Therefore, solutions of the equation are 22.5°, 30°
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The value of x from the set {1, 3, 5, 7} that holds true for the equation is?
The value of x from the given set of values is 5
Area and perimeter of a rectangleA rectangle is a 2 dimensional shape with 4 sides and angle. The formula for calculating the area and perimeter is given as:
Area = length * width
Perimeter = 2(length + width)
If the length of a rectangle is 2 inches more than its width and the perimeter of the rectangle is 24 inches, the resulting equation will be:
2x + 2(x + 2) = 24,
Expand and determine the value of "x"
2x+ 2x + 4 = 24
4x + 4 = 24
Subtract 4 from both sides
4x = 24 - 4
4x = 20
Divide both sides by 4
4x/4 = 20/4
x = 5
Hence the value of x from the given set of values is 5
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Complete question
The length of a rectangle is 2 inches more than its width. The perimeter of the rectangle is 24 inches. The equation 2x + 2(x + 2) = 24, where x is the width in inches, represents this situation. The value of x from the set {1, 3, 5, 7} that holds true for the equation is . So, the width of the rectangle is inches and its length is inches.
Use the laplace transform to solve the given initial-value problem. y'' − 6y' 13y = 0, y(0) = 0, y'(0) = −9
The Laplace transformation of given equation is [tex]y=-\frac{9}{2}e^{3t}\sin \left(2t\right)[/tex].
According to the statement
we have given that the equation and we have to find the Laplace transformation of that equation.
So, For this purpose, we know that the
Laplace transformation is an integral transform that converts a function of a real variable to a function of a complex variables.
And the given equation is
y'' − 6y' + 13y = 0, y(0) = 0, y'(0) = −9
To convert into the Laplace transformation
firstly find the single derivative of given equation in the Laplace transformation and put y = -9 in this.
And now find second derivative of given equation in the Laplace transformation.
And and put y = 0 in the given equation.
After the Laplace transformation give value as a Laplace transformation is [tex]y=-\frac{9}{2}e^{3t}\sin \left(2t\right)[/tex].
So, The Laplace transformation of given equation is [tex]y=-\frac{9}{2}e^{3t}\sin \left(2t\right)[/tex].
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How do i solve this with the steps?
Here are the steps Tyler took to solve the equation.
Please answer these two questions! Thank youuu
Algebraic expressions include both alphabet and number so that the value of the alphabet is to be determined. Thus the steps taken by Tyler are correct if x = 22.
ii. Tyler made no mistake.
Algebraic expressions include both alphabet and number so that the value of the alphabet is to be determined. The value of the alphabet in the expression would be determined by applying mathematical operations appropriately.
To solve the question given to Tyler, we have:
[tex]\sqrt{x + 3}[/tex] = -5
square both sides of the equation to have;
(x + 3) = [tex](-5)^{2}[/tex]
x + 3 = 25
collect like terms to get;
x = 25 - 3
= 22
x = 22
1. Thus the equation is true if x = 22.
2. Tyler did not make any mistake in solving for x.
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PLEASE HELP ITS MATH
Answer:
0.1 cases
Step-by-step explanation:
100(1-0.90)^3
100(0.10)^3
100(0.001)
0.1
If a card is drawn from a deck, find the probability of getting these results:
a. a 6 and a spade
b. a black king
c. a red card and a 7
d. a diamond or a heart
e. a black card
Answer:
Below in bold,
Step-by-step explanation:
a. There's is only one card that fits this description so
Probability = 1/52.
b. There are 2 black Kings so
Probability = 2/52 = 1/26.
c. There are 2 of these - 7 of diamonds and 7 of hearts
so
Probability = 2/52 = 1/26.
d. There 13 diamonds and 13 hearts so
Probability = 26/52 = 1/2.
e. There 26 black cards
Probability = 26/52 = 1/2.
What is the value for x when solving the equation –x (–1) = 3x (–5) using algebra tiles? x = –1 x = 1 x = 2 x = 3
The value of x in the equation –x (–1) = 3x (–5) is x = 1
What are linear equations?Linear equations are equations that have constant average rates of change, slope or gradient
How to determine the solution to the system?A system of linear equations is a collection of at least two linear equations.
In this case, the equation is given as
–x (–1) = 3x (–5)
Remove the bracket in the above equation
-x - 1 = 3x - 5
Collect the like terms in the above equation
3x + x = 5 - 1
Evaluate the like terms in the above equation
4x = 4
Divide both sides by 4 in the above equation
x = 1
Hence, the value of x in the equation –x (–1) = 3x (–5) is x = 1
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Answer:
-3, or D
Step-by-step explanation:
Explain why the surface area of a right prism can be found using the formula
A = ph + 2B
where p = the perimeter of the base, h = height and B = the area of the base.
Answer:
ph : perimeter = 4 sides of the base; p*h = the area of the sides of that prism
B : 2 areas of the base = top and bottom
A right prism consists of a rectangle and two undersides S night prism =
S rectangle + 2S base
the length of the rectangle is the circumference of the base which is P so A = ph + 2B
list all the 3-digit numbers that can be created by rearranging these number tiles
582
Answer:
see explanation
Step-by-step explanation:
3- digit numbers starting with 5 are
528 and 582
3- digit numbers starting with 2 are
258 and 285
3- digit numbers starting with 8 are
825 and 852
there are 6 possible 3- digit numbers
258 , 285 , 528 , 582 , 825 , 852
one adult ticket for a school play costs 10 dollars and one student ticket costs 6 dollars. one evening,750 people attended the play and the total receipts were 6860. how many of each type of ticket were sold? A full algebraic solution is required.
The algebraic solution to the situation is as follows:
x + y = 750
10x + 6y = 6860
The number of adult and student are 590 and 160 respectively.
How to find and solve an algebraic equation?One adult ticket for a school play costs 10 dollars and one student ticket costs 6 dollars.
One evening,750 people attended the play and the total receipts were 6860.
Therefore,
let
x = number of adult ticket
y = number of student tickets
Therefore,
x + y = 750
10x + 6y = 6860
10x + 10y = 7500
10x + 6y = 6860
4y = 640
y = 640 / 4
y = 160
Hence,
x = 750 - y
x = 750 - 160
x = 590
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I need help locating , x=,y=,z= please. Thanks
The circumference of the tree trunk is 7.85
feet. If the tree trunk is cut, what will be
the diameter of the tree stump?
Use 3.14 for π.
Hint: C = πd
diameter [?] feet please explain how you got this answer for future problems
Answer:
2.5 feet
Step-by-step explanation:
Since circumference is just pi(we're using 3.14 in this case) * diameter, which is our answer, we need to divide the circumference(which is 7.58) BY 3.14, which is pi. This leaves us with the diameter, which is 2.5. The unit is already feet, so we needn't do anything about that.
2.
Determine how much this home would cost to replace: 2,600 square feet at $95.00 per square foot
Answer: $
___
Answer:2,695
Step-by-step explanation: just add.
Kim is drawing a map of the different schools in her school district. she knows that her middle school is 10.6 miles away from the middle school that her best friend attends. if every 2 inches on the map represents 5 miles, how far apart will the two schools be on the map, to the nearest tenth of an inch? 0.2 inch 0.9 inch 4.2 inches 26.5 inches
The distance between the two schools on the map is (C) 4.2 inches.
What is the distance?Distance is a numerical measurement of the distance between two objects or places. The distance can refer to a physical length or an estimate based on other criteria in physics or common usage. The distance between two points A and B is commonly expressed as |AB|.To find the distance:
On the map,2 inches represents 5 miles.
Thus, we can write:
2 miles = 2 inches1 mile = 2/5 inches ..... (1)Since the actual distance between the two schools is 10.6 miles.
Multiplying both sides by 10.6 in equation (1).
10.6 miles = 10.6 × 2/5 = 21.2/5 = 4.24 inches.Therefore, the distance between the two schools on the map is (C) 4.2 inches.
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The complete question is given below:
Kim is drawing a map of the different schools in her school district. she knows that her middle school is 10.6 miles away from the middle school that her best friend attends. if every 2 inches on the map represents 5 miles, how far apart will the two schools be on the map, to the nearest tenth of an inch?
(A) 0.2 inch
(B) 0.9 inch
(C) 4.2 inches
(D) 26.5 inches
(d) The perimeter of the figure below is equal to 150 cm.
X
x+6
x+5
x+1
x+8
X+4
What is the length of the longest side of the polygon?
Use mathematics to explain how you determined your answer.
Use words, symbols, or both in your explanation.
Based on the given perimeter of the polygon and the length of each side; the length of the longest side of the polygon is 29 cm
Perimeter of a polygonPerimeter = 150 cmPerimeter of the polygon = x + (x + 6) + (x + 5) + (x + 1) + (x + 8) + (x + 4)
150 = x + x + 6 + x + 5 + x + 1 + x + 8 + x + 4
150 = 6x + 24
150 - 24 = 6x
126 = 6x
x = 126/6
x = 21
The longest side of the polygon is (x + 8)
= 21 + 8
= 29 cm
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The height of a right rectangular prism is 3 units greater than the length of the base. the edge length of the square base is x units. which expression represents the volume of the prism, in cubic units?
The expression x³+3x² is a cubic unit representation of the prism's volume.
What is right rectangular prism?Having 6 faces, 12 edges, and 8 vertices, a right rectangular prism is a three-dimensional object. Angles between the base and sides are right angles in a right rectangular prism. Rectangles make up each of the six faces.
We have provided that to:
In a right rectangular prism, the height is three units more than the base's length.
The square base has edges that are x units long.
How much volume does a rectangular prism have?
Volume of the rectangular prism = width × length × height
V = W × L × H ....................(1)
We've indicated that the
bigger by three than the base's length, h
and the length of the base is x:
Hence,
H = X +3
Length of the base = X
Width = X
Adding the values l h and w to the formula (1) yields,
V = W × L × H
= X × X × (X+3)
= (X²) × (X+3)
= X³ + 3X³
Consequently, the phrase
X³ + 3X³
represents, in cubic units, the prism's volume.
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crunchee corporation increases the size of its granola packages from 16 ounces to 20 ounces.what is the percent of increase in the size of crunchee's granola packages
The percentage of increase in the size is 25%
According to the statement
We have to given that the
Size of the granola packages from 16 ounces to 20 ounces.
And we have to find the percentage of the size of the crunchee's granola packages.
So, For this purpose,
The formula to calculate the percentage of increase in the size is :
Percentage to increase the size = present size - past size / present size.
Now substitute the values in the given formula is
Percentage to increase the size = (20 - 16 / 16)*100
After solving it
Percentage to increase the size = (4/16) *100
Percentage to increase the size = 25%
So, The percentage of increase in the size is 25%
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A school administrator believes that the mean class gpas for a given course are higher than the preferred mean of 2.75 at a significance level of 0.05 , and checks a randomly chosen sample of 50 classes. create a histogram, and calculate , the -statistic, and the -value.
The mean GPA is greater than 2.75.
What is GPA?A grade point average is a figure that represents the average of the final grades obtained in courses over time. A student's grade point average, sometimes known as a GPA, is computed by adding all accumulated final grades and dividing the total by the number of grades granted.To find the GPA:
GPA is calculated and could be utilized by the college to tell choices, which include the subsequent educational progression.Divide the total range of grade factors earned with the aid of the total number of letter-graded units undertaken.Mean GPA = total/50= 2.75.Therefore, the mean GPA is greater than 2.75.
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what is (b-2)x(b-7) multiplied
[tex] \qquad \qquad \bf \huge\star \: \: \large{ \underline{Answer} } \huge \: \: \star[/tex]
[tex] \qquad❖ \: \sf \: {b}^{2} - 9b + 14[/tex]
[tex]\textsf{ \underline{\underline{Steps to solve the problem} }:}[/tex]
[tex] \qquad❖ \: \sf \:(b - 2) \sdot(b - 7)[/tex]
[tex] \qquad❖ \: \sf \:(b \sdot b) + (b \sdot - 7) - (2 \sdot b) - (2 \sdot - 7)[/tex]
[tex] \qquad❖ \: \sf \: {b}^{2} - 7b - 2b + 14[/tex]
[tex] \qquad❖ \: \sf \: {b}^{2} - 9b + 14[/tex]
[tex] \qquad \large \sf {Conclusion} : [/tex]
[tex] \sf \:(b - 2) \sdot(b - 7) = {b}^{2} - 9b + 14[/tex]
Answer:
b² - 9b + 14
Step-by-step explanation:
(b - 2) × (b - 7)
= b×b - 7b - 2b + 2×7 (Expand)
= b² - (7b + 2b) + 14 (gather like terms)
= b² - 9b + 14
Myra is 555 years younger than her sister Talat. Myra wants to write an equation for her own age (m)(m)left parenthesis, m, right parenthesis given Talat's age (t)(t)left parenthesis, t, right parenthesis.
The equation that represents the Myra's age given Talat age is as follows:
t = m + 5
How to represent an equation?Myra is 5 years younger than her sister Talat
Myra age is represented by m while Talat age is represented by t.
Hence,
m = age of Myra
t = age of Talat
Myra is 5 years younger than Talat. This means Talat is 5 years older than Myra.
Therefore, the equation that represents the Myra's age given Talat age is as follows:
t = m + 5
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Answer:
[tex]m=t-5[/tex]Step-by-step explanation:
give me brainiest if I'm correctThe Chens bought their house for $240 000 twenty years ago. They just sold the house
for $520 000. What percent is the new value of the house of the price they paid 20
years ago?
The percent is the new value of the house of the price they paid 20 years ago is 216.67%.
PercentageOld price = $240 000New price = $520 000percent is the new value of the house = New price / Old price
= 520,000 / 240,000 × 100
= 2.16666666666666
= 216.666666666666%
Approximately,
percent is the new value of the house = 216.67%
Therefore, the percent is the new value of the house of the price they paid 20 years ago is 216.67%.
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