Find the equation of the straight line passing through the point ( 0 , -1 ) which is perpendicular to the line y = -3/4x - 3
Answers
Y = 4/3x + b
-1 = 0 + b, b = -1
Equation: y = 4/3x - 1
Related Questions
help??( dont forget to explain)
Answers
Answer:
You can decide where to put the first digit because you know 153 doesn't fit into 6 or 61. But you know it can fit into 613. You put it there.
Answer:
Hi, There!
= 40 R 19 Is the Answer to the division problem
Use place value to place the first digit. Look at the first digit. If the first digit is less than the divisor, then the first digit of the quotient will be in the hundreds place. If the first digit is greater than or equal to the divisor, then the first digit of the quotient will be in the thousands place.
xXxAnimexXx
have a great day!
What is the value of n 8n-5=139
Answers
The value of 'n' is 18 in the given equation 8n - 5 = 139.
We have to find the value of 'n'.
To do so, we need to solve the given equation.
Let us see how we can solve the given equation.8n - 5 = 139
We need to find the value of 'n'.
Let us bring the constant term to the right side by adding 5 to both the sides of the equation.8n - 5 + 5 = 139 + 5On simplifying, we get8n = 144Now, we need to isolate 'n' to find its value.
To do so, we divide both the sides by 8.8n/8 = 144/8On simplifying, we get n = 18
Therefore, the value of 'n' is 18.
Hence, the value of 'n' is 18 in the given equation 8n - 5 = 139.
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4 x 10^8 + 8x10^7 ?
Answers
Answer:
4x108+8x107
Step-by-step explanation:
Simplifies to:
Let's simplify step-by-step.
4x100000000+8x10000000
There are no like terms.
Find the size of the angle 2 x
Answers
Answer:
Given - Angles measure 2x , X and 3x
To find - Measures of 2x
Solution -
2x + X = 180° ( forming linear pair )
3x = 180°
x = 180/3
x = 60°
2x = 2 × 60 = 120°
Answer:
120°
plz give brainlist
Step-by-step explanation:
since 2x and x form a straight angle you get the equation
2x + x = 180
combine like terms
3x = 180
devide by 3
x = 60
evaluate 2x
2(60) = 120
the linear equation y=1/2x+1 is represented by the graphed line. A second linear equation is represented by the data in the table. X(-2,0,2,4) Y(7,6,5,4) .In which square is the solution located
Answers
Answer:
Correct Answer is D
Step-by-step explanation:
Answer:
Yeah it's "D"
Step-by-step explanation:
Have a Jocular Day
2. Name the numerator and the denominator in each fraction.
a.
11/12
b. 7512
C.
12/0
d. 978
Answers
Answer:
a. N=11
D=12
b. N=1
D=7512
c. N=12
D=0
d. N= 1
D=978
Write the standard equation of the circle with center (-14, -3) that passes through the point (-5,3),
Answers
Answer:
\((x + 14)^2 + (y + 3)^2 = 117\)
Step-by-step explanation:
Equation of a circle:
The equation of a circle with center \((x_0,y_0)\) is given by:
\((x - x_0)^2 + (y - y_0)^2 = r^2\)
In which r is the radius.
Center (-14, -3)
This means that \(x_0 = -14, y_0 = -3\)
So
\((x - x_0)^2 + (y - y_0)^2 = r^2\)
\((x - (-14))^2 + (y - (-3))^2 = r^2\)
\((x + 14)^2 + (y + 3)^2 = r^2\)
Passes through the point (-5,3),
This means that when \(x = -5, y = 3\). We use this to find the radius squared. So
\((x + 14)^2 + (y + 3)^2 = r^2\)
\((-5 + 14)^2 + (3 + 3)^2 = r^2\)
\(r^2 = 117\)
So, the equation of the circle is:
\((x + 14)^2 + (y + 3)^2 = r^2\)
\((x + 14)^2 + (y + 3)^2 = 117\)
Find the value of x
12
36
18
24
27
36
0 11
9
0 10
012
Answers
Answer:
11
Step-by-step explanation:
I think if I am wrong I am sorry
A prime factor is a factor that is also a prime number. Create a factor tree for 200 and list the prime factor for 200. Send. Help.
Answers
Answer:
Step-by-step explanation:
200 ; 2^3 x 5^2
Given that sin theta = 15/17 with theta quadrant 1 , find cos 2theta
Answers
\(\textit{Double Angle Identities} \\\\ \cos(2\theta)= \begin{cases} \cos^2(\theta)-\sin^2(\theta)\\ 1-2\sin^2(\theta)&\leftarrow \textit{we'll use this one}\\ 2\cos^2(\theta)-1 \end{cases} \\\\[-0.35em] ~\dotfill\\\\ 1-2\sin^2(\theta)\implies 1-2\left( \cfrac{15}{17} \right)^2\implies 1-2\left( \cfrac{225}{289} \right) \\\\\\ 1-\cfrac{450}{289}\implies \cfrac{289-450}{289}\implies -\cfrac{161}{289}\)
What is the domain of f(x)? {x | 1 < x < 5} {x | 1 < x < 5} {y | −4 < y < 1} {y | −4 < y < 1}
Answers
The domain of function f(x) is given as follows:
{x | 1 ≤ x < 5}.
How to define the domain and range of a function?The domain of a function is defined as the set containing all possible input values of the function, that is, all the values assumed by the independent variable x in the context of the function.The range of a function is defined as the set containing all possible output values of the function, that is, all the values assumed by the dependent variable y in the context of the function.The values of x of the function given at the end of the answer are as follows:
Starts at x = 1(closed interval).Ends at x = 5 (open interval).Hence the domain is given as follows:
{x | 1 ≤ x < 5}.
Missing InformationThe function is given by the image presented at the end of the answer.
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Answer:
A - {x | 1 < x < 5}
Step-by-step explanation:
took the Quiz
2) Ayanda wants to invest R200 000. The bank offers him 2 options for his
6 year investment.
Option 1: 12% Simple interest p.a.
Option 2: 9,5% Compound interest p.a.
4.2.1) Calculate the return on Ayanda's investment using Option 1.
●
●
4.2.2) Calculate the return on Ayanda's investment using Option 2.
4.2.3) Which option will render the most money?
Answers
Answer:
4.2.1) R140 000
4.2.2) R144 758.28
4.2.3) Option 2
Step-by-step explanation:
To calculate the return on Ayanda's investment using Option 1, we can use the simple interest formula.
\(\boxed{\begin{minipage}{7 cm}\underline{Simple Interest Formula}\\\\$ I =Prt$\\\\where:\\\\ \phantom{ww}$\bullet$ $I =$ interest accrued \\ \phantom{ww}$\bullet$ $P =$ principal amount \\ \phantom{ww}$\bullet$ $r =$ interest rate (in decimal form) \\ \phantom{ww}$\bullet$ $t =$ time (in years) \\ \end{minipage}}\)
Given values:
P = R200 000r = 12% = 0.12t = 6 yearsSubstitute the given values into the formula and solve for I:
\(I=200000 \cdot 0.12 \cdot 6\)
\(I=24000 \cdot 6\)
\(I=144000\)
Therefore, the return on Ayanda's investment using Option 1 is R144000.
\(\hrulefill\)
To calculate the return on Ayanda's investment using Option 2, we can use the compound interest formula.
\(\boxed{\begin{minipage}{7 cm}\underline{Annual Compound Interest Formula}\\\\$ I=P\left(1+r\right)^{t}-P$\\\\where:\\\\ \phantom{ww}$\bullet$ $I =$ interest accrued \\ \phantom{ww}$\bullet$ $P =$ principal amount \\ \phantom{ww}$\bullet$ $r =$ interest rate (in decimal form) \\ \phantom{ww}$\bullet$ $t =$ time (in years) \\ \end{minipage}}\)
Given values:
P = R200 000r = 9.5% = 0.095t = 6 yearsSubstitute the given values into the formula and solve for I:
\(I=200000(1+0.095)^6-200000\)
\(I=200000(1.095)^6-200000\)
\(I=200000(1.72379142...)-200000\)
\(I=344758.28426...-200000\)
\(I=144758.28426...\)
\(I=144758.28\)
Therefore, the return on Ayanda's investment using Option 2 is R144758.28.
\(\hrulefill\)
Comparing the returns from both options, we find that Option 1 offers a return of R144000, while Option 2 offers a return of R144758.28. As R144758.28 > R144000, then Option 2 will render the most money for Ayanda's investment.
Solve for x 5(x - 3) + 4(x + 3) = 3(x- 1)
Answers
Answer:
x= 0
Step-by-step explanation:
distribute = 5x - 15 + 4x + 12 = 3x - 3
Add like terms (all of the x) = 9x + -3 = 3x - 3
Subtract 3x from both sides.
9x−3−3x=3x−3−3x
6x−3=−3
Step 3: Add 3 to both sides.
6x−3+3=−3+3
6x=0
Step 4: Divide both sides by 6.
A researcher randomly selects 165 vehicles and sees how many miles each car has been driven and the color of the vehicle. The two-way table displays the data. Suppose a vehicle is randomly selected. Let M = the vehicle has been driven many miles and B = the vehicle is blue. Which of the following is the correct value and interpretation of P(B|M)? P(B|M) = 0.36; given that the vehicle color is blue, there is a 0.36 probability that it has been driven many miles. P(B|M) = 0.36; given that the vehicle has been driven many miles, there is a 0.36 probability that the color is blue. P(B|M) = 0.54; given that the vehicle color is blue, there is a 0.54 probability that it has been driven many miles. P(B|M) = 0.54; given that the vehicle has been driven many miles, there is a 0.54 probability that the color is blue.
Answers
The correct statement regarding the conditional probability P(B|M) is given by:
P(B|M) = 0.36; given that the vehicle has been driven many miles, there is a 0.36 probability that the color is blue.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
The conditional probability P(B|M) is the probability of B given that M, that is, the probability of a vehicle that has driven many miles being blue.
Researching the problem on the internet, it is found that of the 94 vehicles that have driven many miles, 34 are blue, hence:
P(B|M) = 34/94 = 0.36.
Hence the correct option is given by:
P(B|M) = 0.36; given that the vehicle has been driven many miles, there is a 0.36 probability that the color is blue.
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Answer:
B
Step-by-step explanation:
P(B|M) = 0.36; given that the vehicle has been driven many miles, there is a 0.36 probability that the color is blue.
The hole for a support needs to be6 feet deep. It is currently 2 feet 9 inches deep. How much deeper must the hole be. Use the conversion factor 12 inches/ 1 foot
Answers
The hοle needs tο be 39 inches deeper.
What is the cοnversiοn factοr?A cοnversiοn factοr is a number used tο change οne set οf units tο anοther, by multiplying οr dividing. When a cοnversiοn is necessary, the apprοpriate cοnversiοn factοr tο an equal value must be used. Fοr example, tο cοnvert inches tο feet, the apprοpriate cοnversiοn value is 12 inches equals 1 fοοt.
The current depth οf the hοle is 2 feet 9 inches, which is the same as 2 + 9/12 = 2.75 feet (since there are 12 inches in 1 fοοt).
Tο find οut hοw much deeper the hοle needs tο be, we need tο subtract the current depth frοm the required depth:
6 feet - 2.75 feet = 3.25 feet
Hοwever, we are asked tο express the answer in inches, sο we need tο cοnvert the 3.25 feet tο inches using the given cοnversiοn factοr:
3.25 feet x 12 inches/1 fοοt = 39 inches
Therefοre, the hοle needs tο be 39 inches deeper.
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Mr. Hooper has a tree in his front yard that grows every year. If the tree was 3 feet tall when he planted it 6 years ago , what is the current height of the tree in terms of f?
A. 3f + 6 feet
B. 6f + 3 feet
C. 3f + 18 feet
D. 6f + 18 feet
Answers
The height of the tree after 6 years can be expressed as "3 feet + 6f feet."
The correct answer is A. 3f + 6 feet.
To determine the current height of the tree in terms of "f,"
let's analyze the given information.
We know that the tree was initially 3 feet tall when it was planted 6 years ago.
Since the tree grows every year, we can assume that its growth rate is consistent.
Let's denote the current height of the tree as "h" (in feet).
After 6 years, the tree has grown by a certain amount, which we'll represent as "6f" (6 years multiplied by the growth rate "f").
Therefore, the height of the tree after 6 years can be expressed as "3 feet + 6f feet."
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URGENT DUE IN FEW MINS6th grade math Calculate to TOTAL Surface Area.
Do NOT count the surface under the pyramid.
Answers
The surface area of the solid is 281 ft².
Given that, a solid figure made of a rectangular prism and a square pyramid,
We need to find its surface area,
To find the same, we will find the lateral surface area of square pyramid, and total surface area of rectangular prism,
So,
Surface area = 2×side×slant height + 2(length·width+width·height+height·length)-base area of the square pyramid,
= 2×5×5 + 2(4·12+12·5+4·5)-5²
= 50+256-25
= 281 ft²
Hence the surface area of the solid is 281 ft².
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A teacher has created a best fit line relating his average final exam scores, y, to mid term exam scores, x. The trend line is ŷ =25+0.7x. If one student got a 70 on the midterm and a 79 on the final, what is the residual? Do not include units in your answer.
Answers
The residual is 7.
The residual need to compare the actual final exam score with the predicted final exam score based on the best fit line.
The predicted final exam score is given by the equation:
ŷ = 25 + 0.7x
x is the mid term exam score.
For the student in question the mid term exam score is x = 70 and the actual final exam score is y = 79.
Substituting x = 70 into the equation gives:
ŷ = 25 + 0.7(70)
= 72
So the predicted final exam score for this student is 72.
The residual is the difference between the actual final exam score and the predicted final exam score:
residual = actual final exam score - predicted final exam score
residual = y - ŷ
residual = 79 - 72
residual = 7
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A is thrice as good as workman as B and therefore is able to finish a job in 60 days less than B. Working together, they can do it in
20.4 days
22.5 days
25.6 days
30.1 days
Answers
Let's assume that B can do the job alone in x days.
Then, according to the question, A can do the same job alone in (1/3)x days.
Also, we know that A takes 60 days less than B to finish the job, so:
(1/3)x = x - 60
Solving for x, we get:
x = 90
Therefore, B can do the job alone in 90 days and A can do the same job alone in (1/3) * 90 = 30 days.
To find out how long they take to finish the job together, we use the formula:
(AB)/ (A+B)
where AB is the product of their individual times and A+B is their combined time.
Plugging in the values, we get:
(30 * 90)/(30+90) = 22.5
Therefore, working together, they can finish the job in 22.5 days.
Answer: Option B - 22.5 days
which of the following is the equivalent to the radical expression below when x> 0
square foot 12x^3 + Square root 6x
Answers
Answer:
i think it is b
Step-by-step explanation:
The equivalent to the radical expression will be x√2. Then the correct option is C.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
The expression is given below.
⇒ √(12x³) ÷ √(6x)
Simplify the expression, then we have
⇒ √(12x³) ÷ √(6x)
⇒ √(12x³ ÷ 6x)
⇒ √(2x²)
⇒ x√2
The comparable to the extreme articulation will be x√2. Then the right choice is C.
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which of the binomials below is a factor of this trinomial? 8x^2+2x-3 a. 4x+3 b. 2x-3 c. 4x-3 d. 2x+3
Answers
The given trinomial is
8x^2 + 2x - 3
We would factor it by applying the method of factorisation. We would find two numbers such that their sum or difference is 2x and their product is - 24x^2. The numbers are 6x and - 4x. It becomes
8x^2 + 6x - 4x - 3
2x(4x + 3) - 1(4x + 3)
(2x - 1)(4x + 3)
Looking at the given options, the factor of this trinomial is option A.
If the points on a graph of a linear function are (-2,10 (0,4) (2,-2) and (4,8) what is the y-intercept
Answers
Answer:
i think 5
Step-by-step explanation:
A group of friends were working on a student film. They spent all their budget on equipment and props. They spent $369 on equipment and 55% of the total budget on props. What was the total budget for their student film
Answers
Answer: t = 820
Step-by-step explanation:
1) Set up the equation
369 + 55%t = t
2) Simplify the percentage
369+ 0.55t = t
3) Minus 0.55 t on both sides
369 = 0.45t
4) Set t by itself.
t = 820
Melissa made a school banner that is 3 yards long in a 11 over 12 yards wide what is the area of the banner
Answers
Answer:
2 3/4
Step-by-step explanation:
So area is just base X height
3 X 11/12
2 3/4
I need help
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I need help
I need help
Answers
The sequence is decreasing as n increases and sequence converges to the value 0.
The given sequence is defined as aₙ = 1 / (7n + 3).
To determine if the sequence converges or diverges, we need to analyze its behavior as n approaches infinity.
As n increases, the denominator 7n + 3 also increases which means that the values of aₙ will get smaller and smaller, approaching zero as n becomes larger.
The sequence converges to the value 0.
The sequence is decreasing as n increases.
The sequence converges to the value 0.
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please help with this question
Answers
The probability of the sample mean being less than 25.3 is given as follows:
0.9713 = 97.13%.
The sample mean would not be considered unusual, as it has a probability that is greater than 5%.
How to obtain probabilities using the normal distribution?The z-score of a measure X of a normally distributed variable that has mean represented by \(\mu\) and standard deviation represented by \(\sigma\) is obtained by the equation presented as follows:
\(Z = \frac{X - \mu}{\sigma}\)
The z-score represents how many standard deviations the measure X is above or below the mean of the distribution of the data-set, depending if the obtained z-score is positive(above the mean) or negative(below the mean).The z-score table is used to obtain the p-value of the z-score, and it represents the percentile of the measure X in the distribution.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation given by the equation presented as follows: \(s = \frac{\sigma}{\sqrt{n}}\).The parameters for this problem are given as follows:
\(\mu = 25, \sigma = 1.3, n = 68, s = \frac{1.3}{\sqrt{68}} = 0.1576\)
The probability of a score less than 25.3 is the p-value of Z when X = 25.3, hence:
Z = (25.3 - 25)/0.1576
Z = 1.9
Z = 1.9 has a p-value of 0.9713.
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This year you earned $75,500. Last year you earned $72,400. What was the rate of change on your earnings since last year
Answers
Answer:
4.28%
Step-by-step explanation:
We Know
Last year you earned $72,400
This year you earned $75,500
What was the rate of change in your earnings since last year?
We Take
(75,500 ÷ 72,400) x 100 ≈ 104.28%
Then We Take
104.28 - 100 = 4.28%
So, the earning increased by about 4.28%.
An equation is shown below:
5(2x − 3) = 5
Part A: How many solutions does this equation have? (4 points)
Part B: What are the solutions to this equation? Show your work. (6 points)
Your answer:
Answers
Answer:
this equation has 1 answer
Step-by-step explanation:
x = 2
solve 93 divide by 4 using the area model, long division, and the Distributive property.
Answers
Answer:
23.25
Step-by-step explanation:
Your answer would be 23.25, but if you have to show work, this will still help you either way.
The value of 93 divided by 4 is 23.25.
What is division?Division is the process of dividing a number by a given number.
Given to divide 93 by 4.
93/4
= (90 + 3)/4
= 90/4 + 3/4
= 22.5 + 0.75
= 23.25
Hence, the value of 93 divided by 4 is 23.25.
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What’s the correct answer for this question?
Answers
Answer:
C.
Step-by-step explanation:
Volume of cylinder = πr²h
= (3.14)(4)(0.75)
= 9.4
Since she'll fill it half so
Amount of water to be filled = 4.7