increase=(30/100)*50
=15
so,
value after increase
=50+15
=65
Find the value of y.
Find the value of x.
Answer:
y=4,x= -1
Step-by-step explanation:
2y-3 =y+1
2y-y=1+3
y=4
∆CBD
2x+7=2y-3
2x+7=5
2x= 5-7
2x= -2
x= -1
What is the area of this figure? 3 m 3 m 9 m 9 m 6 m square meters 12 m
Answer: figure 1 is 9
figure 2 is 81
figure 3 is 72
= 162
Step-by-step explanation:
A meteorologist found that the rainfall in Newberg during the first half of the month was 1/5 of an inch. At the end of the month, she found that the total rainfall for the month was 1/2 of an inch. How much did it rain in the second half of the month?
Answer: Let's call the rainfall in the second half of the month "x".
From the first half of the month, we know that the total rainfall was 1/5 inch.
At the end of the month, we know that the total rainfall was 1/2 inch:
1/5 + x = 1/2
Subtracting 1/5 from both sides:
x = 1/2 - 1/5
x = 3/10
So the rainfall in the second half of the month was 3/10 of an inch.
Step-by-step explanation:
Given rectangle C D E F below, DG = 15 If CG = 3x+6, solve for x
The numerical value of x in the expression 3x + 6 is 3.
What is the numerical value of x?The diagonals of a rectangle bisects each other and are equal.
Given that;
DG = 15CG = 3x + 6Value of x = ?Since the diagonals of a rectangle bisects each other and are equal.
DG = CG
Plug in the given values and simplify.
15 = 3x + 6
Solve for x
Subtract 6 from both sides
15 - 6 = 3x + 6 - 6
9 = 3x
Divide both sides by 3
9/3 = 3x/3
9/3 = x
3 = x
x = 3
Therefore, the value of x is 3.
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A laundry detergent box measures 12 inches by 8 inches by 2.5 inches. What is the volume of the detergent box?
Answer:
240in^3
Step-by-step explanation:
V = whl
= (12in)(8in)(2.5in)
= 240 in ^3
Frets are small metal bars positioned across the neck of a guitar so that the guitar can produce the notes of a specific scale. To find the distance a fret should be placed from the bridge, multiply the length of the string by 2−12, where n is the number of notes higher than the string’s root note. Where should a fret be placed to produce a G note on the E string (3 notes higher)
1)List what is given in this word problem?
2)state the equation for desmos 5
3)what is the X value? x = ?
4)what is the Y valuie? y = ?
Since the length of the string is not specified, we cannot find the Y value (fret position) exactly.
Given in this word problem:
Length of the string: Not specified
Number of notes higher than the root note: 3 (G note is 3 notes higher than the E string's root note)
Scale: Not specified
The equation for the fret position can be represented as follows:
fret position = length of string * 2^(-12 * n)
where n is the number of notes higher than the root note.
To find the X value, we need to know the length of the string, which is not specified in the problem.
To find the Y value, we need to calculate the fret position using the equation:
fret position = length of string * 2^(-12 * n)
fret position = length of string * 2^(-12 * 3)
fret position = length of string * 2^-36
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prove 2^a , 2^b , 2^c forms a geometric sequence when a , b , c forms an arithmetic sequence.
Answer: Given that a, b, and c form an arithmetic sequence, so they are equally spaced, meaning the difference between each of them is constant. Let's denote the common difference between a, b, and c as d.
So, we have:
a = b - d
c = b + d
Using these two equations, we can prove that 2^a, 2^b, and 2^c form a geometric sequence.
We have:
2^a = 2^b / 2^d
2^c = 2^b * 2^d
Since the product of two powers of the same base is equivalent to the power of the base with the sum of the exponents, we have:
2^a * 2^c = 2^b * 2^b * 2^d * 2^d = 2^(b+b+d+d) = 2^(2b+2d)
So, we have:
2^a * 2^c = 2^(2b+2d) = 2^(2b) * 2^(2d) = 2^b * 2^b * 2^d * 2^d = 2^b * 2^c
This means that 2^a, 2^b, and 2^c form a geometric sequence, with the common ratio of 2^d.
Step-by-step explanation:
Explain how the successive values of a geometric sequence could become infinitesimally small but never be equal to 0. Include an example.
The value of a geometric sequence can not be zero, because for that we have to include 0 as a term in it and that will turn the sequence into zero.
What is geometric sequence?A geometric progression, also known as a geometric sequence, is a sequence of non-zero numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio.
In geometric sequences, the terms given by the ratio of every two successive terms is a constant. they can be either negative or positive but not zero, because if any term will be zero it will directly make the common ratio equal to 0, that will make the sequence turning to 0, and it won't be a geometric progression anymore, therefore, the successive values of a geometric sequence could become infinitesimally small but never be equal to 0.
An example of a Geometric sequence is 2, 4, 8, 16, 32, 64, …, where the common ratio is 2.
If suppose 2nd term is 0, then common ratio = 0/2 = 0, that will disturb the pattern and the sequence will not be a GP
Hence, the successive values of a geometric sequence could become infinitesimally small but never be equal to 0.
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do you think it would be unusual for an individual to pay a tax of less than $7700? explain. assume the variable is normally distributed. round the answer to at least four decimal places.
The distribution was skewed or had other non-normal characteristics, it would be more difficult to make a definitive statement about the probability of paying less than $7,700 without additional information.
The probability distribution of a variable that is normally distributed is bell-shaped, with the majority of observations centred around the mean and decreasingly more observations as you travel away from the mean. The mean and standard deviation of the variable influence the shape of the distribution.
We may use the characteristics of the normal distribution to calculate the likelihood that a person would pay less than $7700 in taxes if we assume that the variable in question is normally distributed. To perform this computation, we would need to know the variable's mean and standard deviation.
For instance, if we were aware that the average tax paid by individuals was $10,000 with a $2,000 standard deviation, we could use a calculator or table of the standard normal distribution to estimate the likelihood that a person would pay less than $7,700. As $7,700 is more than two standard deviations below the mean, if the distribution were totally normal, we could argue that it would be exceedingly unusual for an individual to pay less than that amount. Without more information, it would be more challenging to make a firm determination regarding the likelihood of paying less than $7,700 if the distribution was skewed or had other non-normal characteristics.
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Solve the system of linear equations by substitution.
y=4x
x+y=-10
By substituting the linear equations, we know that the value of x and y are -2 and -8 respectively.
What are linear equations?A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included.
The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."
Ax+By=C is the usual form for two-variable linear equations.
A standard form linear equation is, for instance, 2x+3y=5.
When an equation is given in this format, finding both intercepts is rather simple (x and y).
So, we have the equation:
y=4x ...(1)
x+y=-10 ...(2)
Now, substitute y = 4x in equation (2):
x+y=-10
x+4x=-10
5x = -10
x = -10/5
x = -2
Then, substitute x = -2 in equation (1):
y = 4x
y = 4(-2)
y = -8
Therefore, by substituting the linear equations, we know that the value of x and y are -2 and -8 respectively.
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The area of a rhombus is 360 sq cm if one of its diagonal is 40 cm , find the other diagonal
Based on the information of area of rhombus and length of diagonal, the other diagonal of rhombus is 10.5 cm in length.
The diagonal and area of rhombus are related to each other by the formula -
Area = diagonal1 × diagonal2/2
Keep the values in formula to find the diagonal.
360 = 40 × diagonal 2/2
Rewriting the formula -
Diagonal 2 = (360 × 2)/40
Performing multiplication on Right Hand Side of the equation
Diagonal 2 = 420/40
Performing division on Right Hand Side of the equation
Diagonal 2 = 10.5 cm
The other diagonal is 10.5 cm.
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5xsqrt{12x^3}-3x^2sqrt{147x}
Express the radical using the imaginary unit, i
Express your answer in simplified form.
Answer:
Step-by-step explanation:
root of -48 is equal to 4iroot3, so plus/neg 4iroot3
HELP ASAP WILL GIVE BRAIN DUE IN 20 MIN
Answer:
E
Step-by-step explanation:
the cash price of a bike is 220. hire-purchase is 300 .if the deposit is 10% followed by 10 equal monthly installments find the amount you pay each month
Answer:
$27/month
Step-by-step explanation:
300-220=80
100%= 300
1%= 300÷100
= 3
10%= 3×10
= 30
300-30=270
270÷10= $27
Find the number that is exactly halfway between 1/10 and 4/5
Answer:
Step-by-step explanation:
1/10 = 0.1
4/5 = 0.8
What's halfway between 1 and 8?
Let's show it on a number line:
¬ ¬
_0____1____2_____3______4_____5____6_____7_____8__________
It's 4 and 5, therefore it's 4.5
0.45 comes halfway through 1/10 and 4/5
Expressed as a fraction: 45/100 = 9/20
Hope that helps! Please make me brainliest!
Answer: 0.45
Step-by-step explanation:
a door of length 2m and breadth 1m is fitted in a wall. The length of the wall is 4.5m and the breadth is 3.6m. Find the cost of white washing the wall, if the rate of white washing the wall is rupees20 per metre square
Answer:
16.2m^2
16.2*20=324
324 rupees
Step-by-step explanation:
the surface area of the sphere 156cm^2. find its volume
Answer:
multiply the big number
Step-by-step explanation:
multiply it theres ur answer sub to Lil-Jrplayz for more help
Need help (Just started circles) please explain how to solve every thing.
When graphed in the xy-plane, what is the y-coordinate of the vertex of the parabola with equation y=-3(x-4)(x+6)
Answer: A
Step-by-step explanation:
Convert the equation into quadratic form (y=ax^2+bx+c)
y=-3(x-4)(x+6) = y=-3x^2-6x+72
Calculate -b/2a
which is 6/-6=-1
then put the value -1 into the equation for x.
-3+6+72=75
The answer is therefore A.
FLOWER GARDEN Erin is planning her summer garden. The table shows the number of bulbs she has according to type and color of flower. If Erin randomly selects one of the bulbs, what is the probability that she selects a bulb for a yellow flower or a dahlia? Round your answer to the nearest tenth of a percent.
Probability that Erin selects a bulb for a yellow flower or a dahlia is 52.8%.
What is probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. For an experiment having 'n' number of outcomes, the number of favorable outcomes can be denoted by x. The formula to calculate the probability of an event is as follows.
Probability(Event) = Favorable Outcomes/Total Outcomes = x/n
Given, by the table
Total number of flowers = 5+4+3+3+1+2+2+5+6+0+1+4 = 36
Number of yellow flowers = 4 + 1 + 5 + 1 = 11
Number of Dahlia flowers = 5 + 4 + 3 = 12
Number of yellow Dahlia = 4
Probability of selecting bulb for a yellow flower P(y)= 11/36
Probability of selecting bulb for dahlia P(d) = 12/36
Probability of selecting bulb for yellow Dahlia P(y and d) = 4/36
Probability of selecting bulb for yellow flower or dahlia
= P(y) + P(d) - P(y and d)
= 11/36 + 12/36 - 4/36
= (11 + 12 - 4)/36
= 19/36
= 0.528
= 52.8%
Hence, 52.8% is probability that she selects a bulb for a yellow flower or a dahlia.
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The number of observations will always be the same as the?A sample size. B. number of elements.C. number of variables. D. population size.
The number of observations will always be the same as the sample size. Therefore, the answer is A.
What is permutation ?
In mathematics and statistics, a permutation refers to a way of arranging a set of objects in a particular order. More specifically, a permutation is an arrangement of a set of distinct objects in a specific order. For example, if we have the set {1, 2, 3}, there are six possible permutations: {1, 2, 3}, {1, 3, 2}, {2, 1, 3}, {2, 3, 1}, {3, 1, 2}, and {3, 2, 1}.
In permutations, the order of elements matters, which means that changing the order of any of the elements will result in a different permutation. Permutations are used in many areas of mathematics and statistics, including combinatorics, probability theory, and group theory. They are also used in computer science and cryptography for generating random sequences and encryption keys.
According to given conditions:
The number of observations refers to the number of data points or cases that you have in your dataset. For example, if you're collecting data on the heights of people in a certain population, each person's height measurement would be considered one observation.
A sample size, on the other hand, refers to the number of observations that you have included in your sample from the larger population. For example, if you're taking a random sample of 100 people from a population of 10,000, your sample size would be 100.
The number of elements typically refers to the number of individual items or units that you're measuring or counting. For example, if you're counting the number of cars in a parking lot, the number of elements would be the total number of cars.
The number of variables refers to the number of characteristics or attributes that you're measuring for each observation. For example, if you're collecting data on people's heights, weights, and ages, you would have three variables.
Finally, the population size refers to the total number of individuals or units in the population that you're interested in studying. This may or may not be relevant depending on the type of analysis you're doing. If you're conducting a sample survey, for example, the population size would be important to determine the appropriate sample size.
The number of observations will always be the same as the sample size. Therefore, the answer is A.
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Lauren spent 1^3/8 hour cleaning the house, 7/8 hour doing the laundry, and 1^5/8 preparing food. How many hours did Lauren spend doing all the work?
Need step by step please.
Lauren spent a total of 10 hours on the duties if he spent 1 3/8 hour cleaning, 7/8 hour doing laundry, and 1 5/8 cooking dinner.
What is fraction?A fraction is a portion of a whole or, more broadly, any number of equal pieces. In ordinary English, a fraction represents the number of pieces of a specific size, such as one-half, eight-fifths, or three-quarters.
Here,
To find the total time Lauren spent on the tasks, we need to add the time she spent cleaning the house, doing the laundry, and preparing food.
Cleaning the house: 1 3/8 hours
Doing the laundry: 7/8 hours
Preparing food: 1 5/8 hours
Adding these three quantities, we get:
1 3/8 + 7/8 + 1 5/8 = 1 3/8 + 7/8 + (2 3/8)
Next, we simplify each fraction by finding a common denominator of 8:
(18/8) + (7/8) + (28/8) = 1 + 7 + 2 = 10
So, Lauren spent a total of 10 hours on the tasks if he spent 1 3/8 hour cleaning the house, 7/8 hour doing the laundry, and 1 5/8 preparing food.
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2x2= is it 4, 5,8 i need help
Answer: 4
Step-by-step explanation:
2 multiplied by 2 is 4. You have 2 of the 2's so it becomes 4.
Answer:4
Step-by-step explanation:
have a good day :)
Solve for letter x. explain steps if possible
an expression is given. -2y+3/2x+7/4 which are equivalent to the given expression select each answer
Option D and E are equivalent to the given expression.
How to find equivalent expressionFirst we find the x and y values of the equation -2y+3/2x+7/4.
For example x= 0, substitute:
-2y+3/2x+7/4=0
-2y=-7/4
y=7/8
For example y=0, substitute:
-2y+3/2x+7/4=0
3/2x=-7/4
x=-7/6
Then we look for choices A, B, C, D and E, which one produces x=-7/6 and y=7/8 if for example x=0 and y=0.
And those that have the same value are equations D and E.
What is equivalent equation?Equivalent equations are systems of equations that have the same solutions. Identifying and solving equivalent equations is a valuable skill, not only in algebra class, but also in everyday life.
The simplest example of an equivalent equation doesn't have any variables.
For example, these three equations are equivalent to each other:
3 + 2 = 5
4 + 1 = 5 5 + 0 = 5
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The width of a rectangle is 4.25y-7.5 feet and its length is 7.5y+8 feet. Find the perimeter of the rectangle.
Answer:
23.50y+1
Step-by-step explanation:
2(4.25y-7.5+7.5y+8)
2(4.25y+7.5y-7.5+8)
2(11.75y+0.5)
2(11.75y) + 2(0.5)
23.50y + 1
Find the volume of a cylinder that has a diameter of 14 mm and a height of 8 mm.
Use = 3. 14 and round your answer to the nearest hundredth
The volume of the cylinder with a diameter of 14 mm and a height of 8 mm is approximately 1230.88 mm³.
The volume of a cylinder can be calculated using the formula:
V = πr²h
where r is the radius of the cylinder and h is its height. To find the volume, we first need to find the radius, which is half of the diameter:
r = 14 mm / 2
= 7 mm
Now that we have the radius, we can plug it into the formula along with the height to find the volume:
V = π * (7 mm)² * 8 mm
= 3.14 * 49 * 8 mm³
= 1230.88 mm³
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Write the ratio for cos a! Please
The ratio of the CosA will be 12 / 37 for the right-angle triangle.
What is trigonometry?The branch of mathematics that sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry. The trigonometric functions, also known as a circular, angle, or goniometric functions in mathematics, are real functions that link the angle of a right-angled triangle to the ratios of its two side lengths.
Given that there is a right angle triangle having the Hypotenuse = 37, Base = 12, and Height = 35.
The value of CosA will be calculated as:-
CosA = Base / Hypotenuse
CosA = 12 / 37
Therefore, the ratio of the CosA will be 12 / 37 for the right-angle triangle.
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PLS HELP...... 3. Find h
h =
The sides h of the similar triangle is 2√6 units.
How to find the side of similar triangle?Similar triangles are the triangles that have corresponding sides in proportion to each other and corresponding angles equal to each other.
The triangles are similar. Therefore, the side h can be found using the proportion of the sides.
using proportion,
6 / h = h / 4
cross multiply
6 × 4 = h²
h² = 24
square root both sides of the equation
h = √24
h = 2√6
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