Answer:
D. (Value 2 - Value 1) ÷ Value 1Step-by-step explanation:
Percent increase is the percent of the increased value over the initial value.
In our case the increase is represented by the difference of values and the initial value is Value 1.
So the matching choice is D.
=====================================
Answer choices in the comment:
A. Value 2 ÷ Value 1B. Value 1 ÷ Value 2C. (Value 2 - Value 1) ÷ Value 2D. (Value 2 - Value 1) ÷ Value 1Find the perimeter of the parallelogram. (please answer asap! ty!)
Perimeter of the parallelogram is 20 units.
According to question,
3 + x = 2a - 4
x = 2a - 4 - 3
x = 2a - 7
Diagonals in a parallelogram bisects each other.
Therefore, 2a - 7 = 3
2a = 3 + 7
2a = 10
a = 10/2
a = 5
a - 1 = 4b - 6
5 - 1 = 4b - 6
4 = 4b - 6
4b = 4 + 6
4b = 10
b = 10/4
b = 5/2
Opposite sides of a parallelogram are equal.
Therefore, c - 2 = 2b
c - 2 = 2(5/2)
c - 2 = 5
c = 5 + 2
c = 7
Sides of parallelogram,
Side 1 = 12 - c
= 12 - 7
= 5
Side 2 = c - 2
= 7 - 2
= 5
Perimeter of parallelogram = 2(length of side 1 + length of side 2)
= 2(5 + 5)
= 2 * 10
= 20
Hence, perimeter is 20 units.
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The hypotenuse of a right triangle measures 8 cm and one of its legs measures 4 cm.
Find the measure of the other leg. If necessary, round to the nearest tenth.
Answer:
4√3 (about 6.9) cm.
Step-by-step explanation:
In a 30°-60°-90° triangle, the length of the hypotenuse is twice the length of the shorter leg, and the length of the longer leg is √3 times the length of the shorter leg.
Here, the length of the longer leg is 4√3, or about 6.9, cm.
25) If a number, n, divided by 8 equals 2.5, what is n?
26) The sum of a number, n, and 6.05 is 12.4. What is n?
27) Stacy is one-fourth as old as her mother. If Stacy's mother is 36, how old is Stacy?
28) One-third of a painting job takes 24 hours. How long will it take to finish the entire job?
The solutions for the equations in each of the questions given are as follows;
25). The number, n in which case equals 2.5 when divided by 8 is; n = 20.26). The number n which sums up with 6.05 to equal 12.4 is; n = 6.35.27). Stacy's age as required is; 9 years.28). The entire job takes 72 hours.What is the solution for the given equations?It follows from the task content that the solution for all of the given word problems are to be determined.
25. If a number, n, divided by 8 equals 2.5, what is n?
The algebraic representation is; n/8 = 2.5.
Hence, the value of n is; n = 8 × 2.5 = 20.
26. The sum of a number, n, and 6.05 is 12.4. What is n?
The algebraic representation is; n + 6.05 = 12.4.
Hence, the value of n is; n = 12.4 - 6.05 = 6.35.
27. Stacy is one-fourth as old as her mother. If Stacy's mother is 36, how old is Stacy?
The algebraic representation is; 36/4 = n.
Hence, Stacy's age, n is; n = 9.
28. One-third of a painting job takes 24 hours. How long will it take to finish the entire job?
The algebraic representation is; n/3 = 24.
Hence, the value of n is; n = 3 × 24 = 72 hours.
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SOMEONE HELP PLEASE
⇒The volume is given and the height is give. In the equation [tex]V=\pi r^{2} h[/tex]plug in the known value V which is equal to [tex](160\pi )m^{3}[/tex] and h which is equal to 8m and solve for r which is the radius
⇒[tex]160\pi =\pi r^{2} *(8)\\\frac{160\pi}{\pi } =\frac{\pi r^{2} *(8)}{\pi } \\160=8r^{2} \\8r^{2} -160=0\\8(r^{2} -20)=0\\\frac{8(r^{2} -20)}{8} =\frac{0}{8} \\r^{2} -20=0\\(r+\sqrt{20} )(r-\sqrt{20} )=0\\r+\sqrt{20} =0\\or\\r-\sqrt{20} =0\\\\r=2\sqrt{5} \\or\\r= -2\sqrt{5}[/tex]
⇒Note radius is a distance therefore it cannot be negative meaning radius r is equal to [tex]\sqrt{20} =2\sqrt{5}[/tex]m
expressed in decimal is 4.5m
Sheri has $15,200 to invest in mutual funds and in bonds. sheri has selected a mutual fund that earns 1% a year and a bond that earns 4% a year. if she wants to earn $548 at the end of the first year, how much does she need to invest into each type of account?
Sheri should invest $2000 in mutual fund and $13,200 in bond.
Let the amount to be invested in mutual fund be x. So, the amount to be invested in bond will be (15,200 - x). Forming the equation now -
1%×x + 4%×(15,200 - x) = 548
x/100 + 60,800/100 - 4x/100 = 548
60,800 - 3x = 54800
3x = 60800 - 54800
3x = 6000
x = 6000 ÷ 3
x = 2000
Amount to be invested in mutual fund = $2000
Amount to be invested in bond = 15,200 - 2000
Amount to be invested in bond = $13,200
Sheri should invest $2000 and $13,200 in mutual fund and bond respectively.
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Write a polynomial f (x) that satisfies the given conditions.
Degree 3 polynomial with integer coefficients with zeros 7i and 9/5
If the degree of the polynomial is 3 with zeros 7i and 9/5, then the polynomial f(x) = [tex]5x^3-9x^2+245x-441[/tex]
The zeros of the polynomial = 7i and 9/5
Here the degree of polynomial is 3, therefore there will be three zeros in polynomial, here only 2 zeros are given. We have to find the third zero of the polynomial.
Here one of the polynomial is complex number, therefore another zero will be the conjugate of the complex zero
Therefore the equation will be
(x+7i)(x-7i)(5x-9) = 0
We have to solve the equation
([tex]x^2[/tex] -7ix+7ix+49)(5x-9) = 0
([tex]x^2[/tex] + 49)(5x - 9) = 0
[tex]5x^3-9x^2+245x-441 =0[/tex]
Therefore
f(x) = [tex]5x^3-9x^2+245x-441[/tex]
Hence, if the degree of the polynomial is 3 with zeros 7i and 9/5, then the polynomial f(x) = [tex]5x^3-9x^2+245x-441[/tex]
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can someone help pls
What are the two square roots of 1/121
Answer:
-1/11, +1/11
Step-by-step explanation:
You want the two square roots of 1/121.
Square rootA square root can be either positive or negative.
[tex]\pm\sqrt{\dfrac{1}{121}}=\pm\dfrac{1}{\sqrt{121}}=\boxed{\pm\dfrac{1}{11}}[/tex]
__
Additional comment
The √ symbol generally means the principal square root, the positive root. To get the negative root, we precede the symbol with a minus sign. So, both square roots are identified as ±√( ).
describe the nature of the roots of this equaition. 2x^2 - x+1=0
According to the discriminant, the quadratic equation y = 2 · x² - x + 1 has two roots that are complex and conjugate.
How to determine the nature of the roots in a quadratic equation
Quadratic equations are algebraic expressions of the form a · x² + b · x + c, where a, b, c are real coefficients. In this case, we can infer the nature of its roots by means of a discriminant:
D = b² - 4 · a · c
Whose possible results are listed below:
D > 0, two distinct real roots.D = 0, two equal real roots. D < 0, two conjugate complex roots.If we know that a = 2, b = - 1 and c = 1, then the nature of the roots of the polynomial:
D = (- 1)² - 4 · 2 · 1
D = 1 - 8
D = - 7
Then, the quadratic equation has two conjugate complex roots.
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Give the numerical coefficient of the term.
xw
The numerical coefficient is _____.
Answer:
x
Step-by-step explanation:
The numerical coefficient is x.
hello please help
I WILL GIVE BRAINLIEST!
Tran planned a rectangular pool and made a scale drawing using centimeters as the unit of measurement. He originally planned for the length of the pool to be 40 m but decided to change it to 32 m. If the length of the pool in his scale drawing is 8 cm, which statement about the change of scale is true?
One cm represented 5 m in the first scale, but now 1 cm represents 4 m in the second scale.
One cm represented 40 m in the first scale, but now 1 cm represents 32 m in the second scale.
One cm represented 1 m in the first scale, but now 1 cm represents 5 ft in the second scale.
One cm represented 4 m in the first scale, but no
The true statement about the change of scale is 1 cm represented 5 m in the first scale, but now 1 cm represents 4 m in the second scale.
What is scale factor?A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size (bigger or smaller).
Given that, Tran planned a rectangular pool and made a scale drawing using cm as the unit of measurement. He originally planned for the length of the pool to be 40 m but decided to change it to 32 m. If the length of the pool in his scale drawing is 8 cm,
The scale factor of drawing to original pool was 1/5 before changing the length but when length changed to 32 m scale factor now is 1/4
Hence, The true statement about the change of scale is 1 cm represented 5 m in the first scale, but now 1 cm represents 4 m in the second scale.
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Show that a sum of the angles of a polygon could be 1800 and not 2000
Answer:
150
Step-by-step explanation:
The sum of the interior angles, in degrees, of a regular polygon is given by the formula 180(n – 2), where n is the number of sides. The problem concerns a polygon with twelve sides, so we will let n = 12. The sum of the interior angles in this polygon would be 180(12 – 2) = 180(10) = 1800.
Mariyah wants to enlarge a triangle with sides of 3 inches, 6 inches, and 6 inches. If the shortest side of the new triangle is 13 inches, how long will the other two sides be?
The other sides of the new triangle are 13, 26 and 26 inches as calculated by the properties of similarity.
We know that when two triangles are similar then the ratio of the sides are also equal.
Let the original triangle be ΔABC and the new triangle be ΔXYZ
So from the property of similarity.
AB/XY = BC /YZ = CA/ ZX
Now it is given AB = 3 inches
XY = 13 inches
Hence AB/XY = 13/3
Hence YZ = 13 / 3 × 6 =26 inches
Again ZX = 26 inches
Similar triangles have parallel sides that are proportional to one another and parallel angles that are identical to one another.
Triangles can have different diameters despite having comparable exteriors. Triangles that are congruent and similar to each other usually don't match up.
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the probability distribution of all possible values of the sample mean is called the . select one: a. central probability distribution b. standard error c. sampling distribution of the sample mean d. random variation
The probability distribution of all possible values of the sample mean is called the sampling distribution of the mean.
What is meant by the sampling distribution of the mean?
An accurate probability distribution of a statistic is known as a sampling distribution, and it is created by repeatedly sampling a certain population. It depicts a spectrum of potential results for a statistic, such as the mean or mode of a variable, for a population.Why is sampling essential and what does it mean?
Sampling is the process of choosing a portion of the general population or a subset of social phenomena to be investigated. The primary goal of sampling is to make assumptions about the larger group based on data collected from the smaller group. The selection of a representative sample is the primary means of achieving this.Learn more about Probability
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Complete the statement.
48 cm = mm
The value of the 48 cm will be equal to 480 mm.
What is a unit conversion?Multiplication or division by a numerical factor, selection of the correct number of significant figures, and unit conversion are all steps in a multi-step procedure.
Given that the number is 48 cm. Here 48 cm is the length of any object the value of 48 cm in the unit mm will be calculated as below,
1 cm = 10 mn
48 cm = 48 x 10 mm
48 cm = 480 mm
Therefore, the value of the 48 cm will be equal to 480 mm.
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please help with this im strugglingggggggg
The dimensions of the kennel and the size of the cylinder indicates;
4.1.1. The two 3D objects which the figure consists of are a triangular prism that lays on top of a rectangular prism at the bottom.
4.1.2. The area of the wood needed to build the dog kennel is approximately 2.85 m²
4.1.3. The number of containers of sealant needed to paint one coat on the dog kennel is approximately 2 containers
4.2. The new height of the water in the container will be approximately 18 cm.
What is the surface area of a solid?The surface area of a solid is found by adding together the area of the surfaces that enclose the solid.
4.1.1. The two 3D objects in the figure are;
A triangular prismA rectangular prism4.1.2. The amount of wood needed is found by finding the surface area, A, of the dog kennel as follows;
A = 2×80×60+2×50×60+50×80+2×0.5×80×40+2×√(40²+40²)×50
A = 22800 + 80·√2×50 = 22800 + 4000·√2
The amount of wood needed = (22800 + 4000·√2) cm²
1 m² = 10,000 cm²
(22800 + 4000·√2) cm² = ((22800 + 4000·√2))/10,000 m²
((22800 + 4000·√2)) cm² = (2.28 + 0.4·√2) m² ≈ 2.85 m²
The amount of wood needed is approximately 2.85 m²4.1.3. 500 milliliters of paint is enough to for 1.5 m² area
The number of containers of paint containers required, n, is therefore;
[tex]n = \dfrac{(2.28 + 0.4\cdot \sqrt{2}) \, m^2 }{1.5 \, m^2/container} = (1.52+0.\overline 6\cdot\sqrt{2} ) \, containers \approx 2 \, containers[/tex]
The number of containers of sealant needed to paint one coat on the dog kennel is approximately 2 containers4.2 Diameter of the base of the water container = 20 cm
Radius of the base = (20 ÷ 2) cm = 10 cm
Height of water in the container = 15 cm
Volume of water added = 1,000 cm³
The new height will be 15 + (1,000/(π×10²)) = (15 + 10/π) cm ≈ 18 cm
The height of the water in the container will rise to approximately 18 centimeters
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I need help I don’t understand how it’s wrong
==========================================
Explanation:
If it is possible to draw a single vertical line through more than one point on the blue graph, then that graph is not a function. We consider it failing the vertical line test. Such a thing happens in the middle of the top row (graph 2). A vertical line intersects the sideways parabola at more than one point.
Recall a function is when any given input leads to exactly one output. We can't have the input x = 4 lead to both y = 1 and y = -3 at the same time for instance.
Graph 4 is another instance where we don't have a function for similar reasoning. This graph fails the vertical line test. So does graph 6.
The other graphs (1, 3, and 5) all pass the vertical line test since it's not possible to draw a single vertical line to intersect through more than one blue point.
Given m || n, find the value of x.
(8x+9)°
81⁰
It’s time for ronda to start repaying her student loans, which are amortized over the next 10 years, her first payment due is $396 how much should she expect to pay next month
Based on the amount that she paid in the first month, the amount Ronda will pay for the next month is $396.
When a loan is amortized, it means that one can pay it off by paying the same amount every period until they would have paid off both the loan and the associated interest.
The amortized amount contains:
A portion going towards the principal(debt )
A portion going towards the interest accumulated.
In conclusion, as the amount is the same every time, Ronda will have to pay the same amount of $396 the next month.
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Help? Fractions/visual
3/3 * 3/4 is fraction of green color .
What is fraction in math?
Part of a whole is a fraction. In mathematics, the number is represented as a quotient, where the numerator and denominator are divided. Both are integers in a simple fraction. Whether it is in the numerator or denominator, a complex fraction contains a fraction. The numerator and denominator of a correct fraction are opposite each other.green colored boxes = 3
blue colored boxes = 3
fraction of green = 3/3 * 3/4
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a grocery store has an average sales of $7,100 per day. the store introduced several advertising campaigns in order to increase sales. to determine whether or not the advertising campaigns have been effective in increasing sales, a sample of 100 days of sales was selected. it was found that the average was $7,275 per day. from past information, it is known that the standard deviation of the population is $1,500. we know that the test statistic is 1.1667. find the p-value.
The P value of the question in the given condition is less than 0.05 hence it reject the null hypothesis.
What is null hypothesis?According to the null hypothesis, an independent variable and a dependent variable have no association with one another. The results might be the result of an experimental or sampling error if the hypothesis indicates a link between the two factors. There is a relationship in the measured phenomena, but, if the null hypothesis is incorrect.
First we find the value of small z
z = (x - μ) / (α / [tex]\sqrt{100}[/tex])
z = (7275 - 7100) / (1500/[tex]\sqrt{100}[/tex])
z = (175) / 150
z = 1.1667
As we have verified the test statistic value and it matched.
Then,
P value approach
Hence P value must be equal to 0.0013
As p value is less than 0.05 , Reject the null hypothesis.
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help meeeeeeeeeeeeeeeeeee pleaseeee rn rnnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
help meeeeeeeeeeeeeeeeeee pleaseeee rn rnnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
PLEASE HELP MEE!
Solve x2 – 2x = 15 by applying the quadratic formula.
A theatre contains 439 seats and the ticket prices for a recent play were $48 for adults and $28 for children. if the total proceeds we $15,852 for a sold-out matinee, how many of each type of ticket were sold?
The theatre sold 178 adult tickets and 261 children tickets for the play.
It is given that the total number of seats is 439 seats.
There are two types of tickets available- children and adults.
The price for adult tickets is $48 and that for children is $28.
Let the number of adult tickets sold be x
Let the number of children's tickets sold be y.
The show was a sold-out
Hence,
x + y = 439 [1]
48x + 28y = 15852 [2]
From equation [1] we get
x = 439 - y
putting this result in equation [2] gives us
48(439 - y) + 28y = 15852
or, 21072 - 48y + 28y = 15852
or, -20y = - 5220
or, y = -5220/ -20
or, y = 261
Therefore,
x + 261 = 439
or, x = 439 - 261
or, x = 178
Hence, 178 adult tickets were sold and 261 children's tickets were sold.
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An object attached to a coiled spring is pulled down a distance of 10 centimeters from its rest position and then released.
Assuming that the motion is simple harmonic
with a period of 2 seconds, write an equation that relates the displacement d of the object from its rest position after t seconds.
Also assume that the positive direction of
the motion is up. At time t=0 the object is at its resting position and moving down.
Answer: The general form for an equation that models a wave is this: (+/-) a (sin/cos) (2π(x-p)/T), where a is your amplitude, p is your phase shift, and T is your period. The (+/-) becomes + if the graph is to start in the positive direction, and - if it is to start in the negative direction. The (sin/cos) becomes sine if the graph is to start at 0 before being shifted, while it becomes cosine if the graph is to start at the amplitude.
In this case, our graph starts out negative, and at the amplitude with no phase shift, so the (+/-) becomes -, (sin/cos) becomes cos, and p is zero. Substituting in the values given in the problem, a = 9 and T = 7, we find this equation: d = -9cos(2πt/7).
Step-by-step explanation:
X=3/5
Y=1/3
z=2 4/5
work out Z + X x Y
The value of the summation will be equal to 3.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that X=3/5, Y=1/3, and z=2⁴/₅.
The value of the Z+ ( X x Y ) will be calculated as,
E = Z + ( X x Y )
E = 2⁴/₅ + ( 3 / 5 ) x ( 1 / 3 )
E = 14 / 5 + 1 / 5
E = 15 / 5
E = 3
Therefore, the value of the summation will be equal to 3.
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When using re-grouping to solve 21 x 43, what are the four products that would be calculated and then added?
800 + 40 + 6 + 3
80 + 40 + 60 + 3
800 + 40 + 60 + 3
800 + 3
Using re-grouping to solve 21 x 43, the four products that would be calculated and then added is: 800 + 40 + 60 + 3.
How to find the products?Given data:
21 x 43
Now let make use of re-group to find the for product
21 x 43
So,
20 +1 = 21
40 + 3 =43
Hence,
(20+1) × (40+3)
Expand
(20 × 40) + (1 × 40) + (20 ×3) + (1 ×3)
800 + 40 + 60 + 3
= 903
Check:
21 x 43 = 903
800 + 40 + 60 + 3 =903
Therefore the correct option is C.
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Write an equation of the line, in point-slope form, that passes through the two given points.
points: (-2,10), (10 -14)
The required equation of the line will be y = 2x + 6 which passes through the points (-2,10), (10 -14).
What is the slope of the line?The slope of a line is defined as the gradient of the line.
Given that line passes through the points (-2,10), (10 -14)
Let the required line would be y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]
x₁ = -2, y₁ = 10
x₂ = 10, y₂ = -14
⇒ y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]
Substitute values in the equation, we get
⇒ y - 10 = (-14 - 10)/(10-(-2))[x -(-2)]
⇒ y - 10 = (-24)/(12 )[x +2]
⇒ y - 10 = -2(x +2)
⇒ y = -2x - 4 + 10
⇒ y = -2x + 6
Therefore, the equation of the line would be y = 2x + 6 which passes through the points (-2,10), (10 -14).
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a sample of 1,400 american households was asked if they planned to buy a new car next year. of the respondents, 34% indicated they planned to buy a new car next year. construct a 90% confidence interval of the proportion of american households who expect to buy a new car next year.
The proportion of American households who expect to buy a new car next year is[0.3191, 0.3609].
The Four answer choices:
[0.3152, 0.3648]
[0.3191, 0.3609]
[0.3394, 0.3406]
[0.3354, 0.3446]
According to the survey, 1,400 American households are expected to buy a new car next year. According to respondents, 34% plan on buying a new car next year.
The confidence interval for a population proportion is given by the following equation for large random samples
Sample proportion ± z × [tex]\frac{\sqrt{(sample proportion(1-sample proportion)}}{n}[/tex]
whereas z is a multiplier number that comes from the normal curve and determines the level of confidence.
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