Write the following equations.
Answer:
Step-by-step explanation:
4. 2x + 1 = 17
5. x-13 = 94
6. x/2 = 7
7. 5x = 35
8. x + 43 = 84
9. x-18 = 36
10. x = 8y
11. x = y - 5
12. x + (x+1) + (x+2) = 18
13. x = y + 4
14. 2x + 8 = 24
Please Help me - You will get 60 points for the rapid reply- Use isosceles trapezoid ABCD to determine the following measurements-
Answer:
1) AD = 9 in
2) DE = 9.25 in
3) ∠EDC = 36°
4) ∠AEB = 108°
5) 11.5 in
Step-by-step explanation:
1) AD = BC = 9in
2) AC = BD (diagonals are equal)
⇒ BD = 14.25
⇒ BE + DE = 14.25
⇒ 5 + DE = 14.25
DE = 9.25
3) Since AB ║CD,
∠ABE = ∠EDC = 36°
4) ∠ABE = ∠BAE = 36°
Also ∠ABE + ∠BAE + ∠AEB = 180 (traingle ABE)
⇒ 36 + 36 + ∠AEB = 180
∠AEB = 108
5) midsegment = (AB + CD)/2
= (8 + 15)/2
11.5
When subtracting two polynomials how does subtraction impact each monomial in the second polynomial?
Answer:
The signs of each monomial in the second polynomial are changed.
When subtracting two polynomials, the subtraction affects each monomial in the second polynomial by inverting the sign of each coefficient. That is, every coefficient in the second polynomial is multiplied by -1.
Polynomials are mathematical expressions that contain one or more terms. These terms are made up of coefficients and variables raised to powers, like x^2, y, or z^3.
When subtracting two polynomials, we need to keep in mind that each term within the polynomial is affected.
Example: Consider the following polynomial:
2x^2 + 3xy + 4y^2
When we subtract the polynomial 3x^2 - 2xy - 5y^2 from the above polynomial, we need to invert the sign of each coefficient in the second polynomial. That is, we have:
2x^2 + 3xy + 4y^2 - (3x^2 - 2xy - 5y^2)
Now, inverting the sign of each coefficient in the second polynomial, we get:
-3x^2 + 2xy + 5y^2
So the final result is:
2x^2 + 3xy + 4y^2 - (3x^2 - 2xy - 5y^2)
= 2x^2 + 3xy + 4y^2 - 3x^2 + 2xy + 5y^2
= -x^2 + 5xy + 9y^2
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An environmental study was conducted. It reported that houses with more inhabitants do not necessarily produce more or less trash. What can be determined?
Answer:
Hi your question lacks the required options attached are the options
a) there is no correlation between number of inhabitants and amount of trash produced
b) there is a correlation between the number of inhabitants and the amount of trash produced however there is no causation, this is because there is probably an increase in the amount of trash produced with an increase in the number of inhabitants
c) there is correlation between the number of inhabitants and the amount of trash produced, there may or may not be causation , further studies would have to be done to determine this
Answer : there is correlation between the number of inhabitants and the amount of trash produced, there may or may not be causation , further studies would have to be done to determine this
Step-by-step explanation:
What can be determined from a study that shows that houses with more inhabitants same number of trash as houses with fewer inhabitants is that: there is correlation between the number of inhabitants and the amount of trash produced, there may or may not be causation , further studies would have to be done to determine this.
This is due to the fact that an increase in population is suppose to have an equivalent increase in trash been produced but in this study the increase in population had no effect in the increase or decrease in trash therefore further studies would have to be conducted to determine the causation of such .
in 1975 the population of lions in Africa was 250,000 in 2015 , the population of lions was 30,000 calculate the percantege decrees in the african lion population between 1975 and 2015
The percentage decrease in the African lion population between 1975 and 2015 is 88%
To calculate the given problem
The decrease in population is:
250,000 - 30,000 = 220,000
To find the percentage decrease, we divide the decrease by the initial population:
220,000 / 250,000 = 0.88
Finally, we multiply by 100 to get the percentage:
0.88 * 100 = 88%
Therefore, the percentage decrease in the African lion population between 1975 and 2015 was 88%.
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Lana had 475 Pokemon cards. She gave her little brother 125 of her cards. What percentage of her cards did Lana give away?
So, Lana gave away 26.32% of he Pokemon cards to her little brother.
To find the percentage of cards Lana gave away, we can use the formula:(Quantity given away / Total quantity) * 100.
In this case, Lana gave away 125 cards out of her total collection of 475 cards.Plugging these values into the formula, we have:
(125 / 475) * 100 = 0.2632 * 100 = 26.32%.
Lana gave away 26.32% of her Pokemon cards to her little brother.
Alternatively, we can calculate the percentage by subtracting the remaining cards from the total and finding the ratio:
Percentage given away
= (Cards given away / Total cards) * 100
= (125 / 475) * 100
= 26.32%.
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18x+y written using the commutative property of addition
Answer:
18x+y = y+18x
Step-by-step explanation:
A 100 cm B Diagonal BD is 120cm. What is the area of the rhombus in hactares?
Answer:
0.000096m2
Step-by-step explanation:
Incase you don't understand feel free to ask!!!
A rhombus is a quadrilateral whose all sides are of equal length, and the opposite are parallel to each other. The area of the rhombus is equal to 9.6 × 10⁻⁵ hectares.
What is a Rhombus?A rhombus is a quadrilateral whose all sides are of equal length, and the opposite are parallel to each other. It can also be said that a rhombus is a parallelogram with all the sides being equal.
4a² = d₁² + d₂²
4(100)² = d₁² + (120)²
4 × 10000 = d₁² + 14400
d₁² = 25600
d₁ = 160
Area of rhombus = ( d₁ × d₂) ÷ 2
= (120 × 160)/2
= 9600 cm²
Since 1 sq. cm is equal to 10⁻⁸ hectares. Therefore, the area of the rhombus will be,
Area = 9600 cm²
= 9600 × 10⁻⁸ hectares
= 9.6 × 10⁻⁵ hectares
= 0.000096 hectares
Hence, the area of the rhombus is equal to 9.6 × 10⁻⁵ hectares.
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Please help legit things only or you get banned thanks!!!!!!!!!!!!!
What value of c makes the equation true? Assume x>0 and y>0 3√x^3/cy^4=x/4y(3√y) c = 12 c = 16 c = 81 c = 64
The value of c that makes the equation true is c = 64, when x = 6 and y = 3.
To find the value of c that makes the equation true, we can start by simplifying both sides of the equation using exponent rules and canceling out common factors.
First, we can simplify 3√(x^3) to x√x, and 3√y to y√y, giving us:
x√x/cy^4 = x/4y(y√y)
Next, we can simplify x/4y to 1/(4√y), giving us:
x√x/cy^4 = 1/(4√y)(y√y)
We can cancel out the common factor of √y on both sides:
x√x/cy^4 = 1/(4)
Multiplying both sides by 4cy^4 gives us:
4x√x = cy^4
Now we can solve for c by isolating it on one side of the equation:
c = 4x√x/y^4
We can substitute in the values of x and y given in the problem statement (x>0 and y>0) and simplify:
c = 4x√x/y^4 = 4(x^(3/2))/y^4
c = 4(27)/81 = 4/3 = 1.33 for x = 3 and y = 3
c = 4(64)/81 = 256/81 = 3.16 for x = 4 and y = 3
c = 4(125)/81 = 500/81 = 6.17 for x = 5 and y = 3
c = 4(216)/81 = 64 for x = 6 and y = 3
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a sample of 1200 computer chips revealed that 37% of the chips do not fail in the first 1000 hours of their use. the company's promotional literature claimed that more than 34% do not fail in the first 1000 hours of their use. is there sufficient evidence at the 0.05 level to support the company's claim? state the null and alternative hypotheses for the above scenario.
As per the question the required hypothesis are
Null Hypothesis, H0: p=0.72
Alternate Hypothesis, H1 : p ≠ 0.72
The null hypothesis reflects that there will be no observed effect in our experiment. In a mathematical formulation of the null hypothesis, there will typically be an equal sign. This hypothesis is denoted by H0.
The null and alternative are always claims about the population. That’s because the goal of hypothesis testing is to make inferences about a population based on a sample.
Often, we infer whether there’s an effect in the population by looking at differences between groups or relationships between variables in the sample. It’s critical for your research to write strong hypotheses.
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i need help QUICK
Solve for x. Round to the nearest tenth of a degree, if necessary.
In the right triangle , the value οf x is 51.7°.
What is trigοnοmetric functiοn?The functiοns οf an angle in a triangle are knοwn as trigοnοmetric functiοns, cοmmοnly referred tο as circular functiοns. In οther wοrds, these trig functiοns prοvide the relatiοnship between a triangle's angles and sides. There are five fundamental trigοnοmetric functiοns: sine, cοsine, tangent, cοtangent, secant, and cοsecant.
Here in the given right angle PQ=3.1 , PR=5 .
Nοw using trigοnοmetric functiοn,
=> cos(P) = \(\frac{adjacent}{hypotenuse}\)
=> cos (x) = \(\frac{PQ}{PR}\)
=> cos (x) = \(\frac{3.1}{5}\)
=> x = \(cos^{-1}\frac{3.1}{5}\)
=> x = 51.7°.
Hence the value of x is 51.7°.
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The cosine of one acute angle of a right triangle is 817.
What is the sine of the other acute angle?
The sine of the other acute angle is 15/17 if the cosine of one acute angle of a right triangle is 8/17.
What is trigonometry?Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
We have a cosine of one acute angle of a right triangle is 8/17.
Let's suppose the angle is α
\(\rm Cos\alpha = \frac{8}{17}\)
As we know the cos is the ratio of adjacent to hypotenuse and Sin is the ratio of the opposite to hypotenuse.
Let's suppose the length of the hypotenuse is x units
From the Pythagoras theorem:
\(\rm 17^2=x^2+8^2\)
x = 15 units
Now the Sin ratio:
\(\rm Sin\alpha = \frac{15}{17}\)
Thus, the sine of the other acute angle is 15/17 if the cosine of one acute angle of a right triangle is 8/17.
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Complete the given diagram by dragging expressions to each leg of the triangle. Then, correctly complete the equation to derive the distance, d.
The equation of the line we can say from the graph is y=-7/5x-6/5.
Given that,
In the picture, we have a graph with one line.
We have to find the equation of the line.
We can see in the graph the points are,
(-3,3) and (2,-4)
The equation of the line formula is y=mx+b
Slope of the line m is rise by run
m=-4-3/2+3
m=-7/5
Now, b is intercept
3=-7/5(-3)+b
3=21/5+b
b=3-21/5
b=15-21/5
b=-6/5
The equation of the line is y=-7/5x-6/5.
Therefore, The equation of the line we can say from the graph is y=-7/5x-6/5
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please help me I have to submit it tomorrow I will give brilliant to the one who solves it
a. Income tax is the amount of money that an individual is required to pay to the government based on their income.
b. Ramesh's total income in 13 months, including the festival expense, is found as Rs 593,857.
c. Ramesh's annual income tax, considering the investment in citizens' investment fund, is Rs 85,000.
How do we calculate?a. Income tax is described as the amount of money that an individual is required to pay to the government based on their income. found using a specific tax rate applied to different income brackets.
b.
Monthly income = Salary + Dearness allowance
= Rs 43,689 + Rs 2,000
= Rs 45,689
Total income for 13 months = Monthly income * 13
= Rs 45,689 * 13
= Rs 593,857
c.
Total income after deducting citizens' investment fund = Total income - Investment amount
= Rs 593,857 - Rs 2000
= Rs 591,857
Hence, the income tax based on the revised total income is:
Tax for income upto 5 lakh which is 1% of the income
= 0.01 * 500000
= Rs 5,000
Tax for income from 5-7 lakh which is the 10% of the income
= 0.1 * 200000
= Rs 20,000
The Tax for income from 7-10 lakh: 20% of the income
= 0.2 * 300000
= Rs 60,000
The Tax for income from 10-20 lakh is 30% of the income
= 0.3 * 0
= Rs 0
The total income tax = Rs 5,000 + Rs 20,000 + Rs 60,000 + Rs 0 + Rs 0
= Rs 85,000
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in regression analysis, the independent variable is typically plotted on the _____.
In regression analysis, the independent variable is typically plotted on the x-axis.
The x-axis represents the independent variable or predictor variable, which is the variable that is believed to influence or have an impact on the dependent variable. This variable is typically plotted horizontally on the graph.
For example, let's say we are studying the relationship between the amount of study time and exam scores. In this case, the independent variable would be the amount of study time, which could be measured in hours.
By plotting the amount of study time on the x-axis, we can visually analyze how it relates to the dependent variable, which is the exam scores, typically plotted on the y-axis. This helps us understand the nature and strength of the relationship between the two variables.
So, in summary, the independent variable is plotted on the x-axis in regression analysis.
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Answer the questions in the pictures, 50 points and brainliest to best answer.
Answer:
1. (10*x)/2 >= 8
2. (6m*x)/2 < 42
Does anyone know geometry?
Answer:
286m²
Step-by-step explanation The formula to find the surface area of a rectangular prism is A = 2wl + 2lh + 2hw, where w is the width, the l is the length, and the h is the height.
Answer:
286m²Step-by-step explanation:
IDK
solve : 30z + 20 = 480
with steps
Hello i just want to thank anyone who has helped me pass tests. they dont even know they got an A in math
Answer:
well, I'm glad u got a A in math!
Step-by-step explanation:
The formula for the slant height of a cone is t equals StartFraction S minus pi r squared Over pi EndFraction. , where S is surface area of the cone. Use the formula to find the slant height, l, of a cone with a surface area of 500π ft2 and a radius of 15 ft.
Answer:
275 ft
Step-by-step explanation:
The formula given to use for the slant height l of the cone is ;
l = (s - πr^2)/π
Now substituting the parameters given in the question, 500 π for area and radius of 15, we have
l = {500π-15^(2)π}/π
l =( 500 π -225 π)/π
l = 275 π/π
l = 275 ft
Answer:
275
Step-by-step explanation:
^ and what they said
A book is to be randomly chosen from the library. The probability that a randomly-chosen book is fiction is
. The probability that randomly-chosen book has a white cover is
. The probability that a randomly-chosen book is fiction and has a white cover is
.
What is the probability that a randomly-chosen book from the library is fiction or has a white cover?
Using Venn probabilities, and supposing the incomplete probabilities, it is found that there is a 0.35 = 35% probability that a randomly-chosen book from the library is fiction or has a white cover.
What is a Venn probability?In a Venn probability, two non-independent events are related with each other, as are their probabilities.
The first step to solve a problem using Venn probabilities is identifying the events. In this problem, they are:
Event A: Fiction.Event B: White cover.The "or probability" is given by:
\(P(A \cup B) = P(A) + P(B) - P(A \cap B)\)
In this problem:
The probability that a randomly-chosen book is fiction is 0.15, hence \(P(A) = 0.15\).The probability that randomly-chosen book has a white cover is 0.3, hence \(P(B) = 0.3\)The probability that a randomly-chosen book is fiction and has a white cover is 0.1, hence \(P(A \cap B) = 0.1\)Then:
\(P(A \cup B) = P(A) + P(B) - P(A \cap B)\)
\(P(A \cup B) = 0.15 + 0.3 - 0.1\)
\(P(A \cup B) = 0.35\)
0.35 = 35% probability that a randomly-chosen book from the library is fiction or has a white cover.
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which of the following statements is most true about online surveys? it is difficult to overcome geographic boundaries. the results cannot be projected to the larger population because respondents are self selected. they are inconvenient for those who are less computer literate. the respondents cannot be tracked for follow-up purposes. consumers find them to be the most intrusive type of survey.
The correct response is B. Because respondents were self-selected, the findings cannot be extrapolated to the general population.
All citizens of a country, whether they live there permanently or are only passing through, are considered to be part of the "population." Regularly, this indicator shows the local population in a specific location. Growth rates are the yearly changes in population brought on by births, deaths, and net migration. The complete student body at a school is an illustration of a population. At the time of data collection, it would include every student enrolled in that institution. Each of these pupils' data is gathered, depending on the issue statement. Whether they are a part of a nation or a group of people who share a given quality, all of the individuals in a group are considered to be a population.
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evaluate the given function. f(x) = 3x2+2; find f)x+1)-[f(x)+1]
66.21 was rounded to 2dp. what is the lower bound?
Answer:
the answer is 66.205
Step-by-step explanation:
basically you look at the place value so
66.21 is basically the same as 66.210 then you look at the lowest number that can round UP to 66.210 which would be out of 1 to 9 would be 5 so the smallest number that can round up to 66.210 is 66.205 hope this helped :D
If you want to identify the mode of a set of data, which of the following graphical displays is best?
Answer:
Histogram (Please tell me if you disagree, Have a great day:)
PLEASE HELP ME WITH THIS QUESTION
If a1 = -9, and an = -6 an-1, list the first five terms of an: . {a1, a2, a3, a4, a5}
The first five terms of the sequence are {-9, 54, -324, 1944, -11664}.Hence, the first five terms of the sequence are {-9, 54, -324, 1944, -11664}.
Given that a1 = -9 and an = -6an-1 to find the first five terms of an: {a1, a2, a3, a4, a5}
We have to use the formula an = -6 an-1 to find the next terms.
The first term a1 is given to us. So, a1 = -9
We can use the formula an = -6an-1 to find the next term using a1= -9 an1 = -6 * a1 = -6 * (-9) = 54
Thus the first two terms of the sequence are {-9, 54}.
We can use the formula an = -6an-1 to find the third term an2 = -6 * an1= -6 * 54 = -324
Thus the first three terms of the sequence are {-9, 54, -324}.
We can use the formula an = -6an-1 to find the fourth term an3 = -6 * an2= -6 * (-324) = 1944
Thus the first four terms of the sequence are {-9, 54, -324, 1944}.
We can use the formula an = -6an-1 to find the fifth term an4 = -6 * an3= -6 * (1944) = -11664
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Select the correct answer.Which expression is equivalent to the given expression?In(2e/x)A. In 2 – InOB. In 2 + InC. 1 + In 2 – In IOD In 1 + In 2 – In r
We have the following:
\(undefined\)What is the value of z in the equation 4z-15=25
Answer:
z=10
Step-by-step explanation:
4z - 15 =25
4z - 15+15 =25+15
4z=40
z=10