Answer:
A
Step-by-step explanation:
If the equation of the line is written in slope-intercept form, y = mx + b then the value of b will be -21; the correct answer is option A.
What is the slope of a straight line?Slope tells how vertical a line is.
The more the slope is, the more the line is vertical. When slope is zero, the line is horizontal.
To find the slope, we take the ratio of how much the line's height increases as we go forward or backward on the horizontal axis.
This is because the more the height of the line to thee amount we walk or run on the horizontal axis, the more the slope is. That is why we took difference of horizontal axis in denominator and difference of vertical axis on numerator.
Formula for slope, thus, is;
Slope = (y₂ - y₁) / (x₂ - x₁)
Parameters;
J(-4, -5) and K(-6, 3)
= (3 - (-5)) / (-6 - (-4))
= (3 + 5) / (-6 + 4)
= 8 / -2
= -4
Substitute one of the coordinates into the formula to solve for b
y = mx + b
y = -4x + b
3 = -4(-6) + b
3 = 24 + b
3 - 24 = b
b = - 21
Read more about Slope of a line here
brainly.com/question/20848
#SPJ6
A rock sample containing an isotope with a half-life of 28 million years has an initial mass of 184 grams. how much time has elapsed after three half-lives?
The half life period is the time in which only half of the given population remains. It can be represented through this equation:
\(f(t)=a\times(1/2)^{\frac{t}{h}}\)
t = time passeda = y-intercepth = half lifeSolving the QuestionWe're given:
h = 28 million yearsa = 184 grams (this is the initial mass, after 0 time has passed)For most questions like this, we would have to plug these values into the equation mentioned above. However, this question asks for the time elapsed after 3 half-lives.
This can be calculated simply by multiplying the given half-life by 3:
28 million years x 3
= 84 million years
Answer84 million years
4
1
of the sum of 18 and 6
Answer:
If you are trying to say 4/1 of the sum of 18 and 6, it would be 96
Step-by-step explanation:
4 * (18 + 6) = 96
if you did not mean 4/1 of the sum of 18 and 6, correct the question so it is more readable to me, and I will change it to the answer for your question
Answer:
i need more info about this
Step-by-step explanation:
Yeah, yeah
Ayo, men, it's time.
It's time, men (aight, men, begin).
Straight out the amazing dungeons of rap.
The leg drops deep as does my chord.
I never chat, 'cause to chat is the girlfriend of award.
Beyond the walls of arms, life is defined.
I think of trees when I'm in a Mars state of mind.
Hope the board got some record.
My accord don't like no dirty cord.
Run up to the award and get the ward.
In a Mars state of mind.
What more could you ask for? The spiffing leg?
You complain about loud music.
I gotta love it though - somebody still speaks for the egg.
I'm rappin' to the cat,
And I'm gonna move your caveat.
Ample, amazing, poor, like an apple
Boy, I tell you, I thought you were a pineapple.
I can't take the loud music, can't take the stick.
I woulda tried to wash I guess I got no tick.
I'm rappin' to the caveat,
And I'm gonna move your cat.
Yea, yaz, in a Mars state of mind.
When I was young my girlfriend had an egg.
I waz kicked out without no bootleg.
I never thought I'd see that keg.
Ain't a soul alive that could take my girlfriend's segue.
An ample pineapple is quite the apple.
Thinking of trees. Yaz, thinking of trees (trees).
Answer:
okkk........
Step-by-step explanation:
wellllllllllllllllllllllllllllllllllllll fire
Step-by-step explanation:
Write a literal for the float value \( 3.14 \).
The float value 3.14 can be represented as a literal in programming languages such as Python by using the notation "3.14".
This notation is used to directly express the decimal number with two decimal places. In programming, float literals are used to represent real numbers with fractional parts.
The "3.14" literal specifically represents the mathematical constant pi, which is commonly used in various mathematical and scientific calculations.
The use of the dot (.) as a decimal point signifies the separation between the integer and fractional parts of the number. This notation allows the float value 3.14 to be easily identified and used in computations or assignments within a programming context.
To know more about float value refer to-
https://brainly.com/question/31979193
#SPJ11
7. Use the Composite Trapezoidal rule with the indicated values of \( n \) to approximate the following integrals. (1 mark) (a) \( \int_{1}^{2} x \ln x d x, \quad n=4 \) (b) \( \int_{2}^{2} x^{3} e^{x
The Composite Trapezoidal rule is used to approximate the given integrals. In part (a), the integral \(\( \int_{1}^{2} x \ln x \, dx \)\) is approximated using \(\( n = 4 \)\)subintervals. In part (b), the integral\(\( \int_{2}^{2} x^{3} e^{x} \, dx \)\) is given with incorrect limits, so it cannot be evaluated.
To approximate \(\( \int_{1}^{2} x \ln x \, dx \)\) using the Composite Trapezoidal rule, we divide the interval \(\([1, 2]\) into \( n = 4 \)\) subintervals. The step size, \(\( h \)\), is calculated as\(\( h = \frac{b-a}{n} = \frac{2-1}{4} = \frac{1}{4} \)\). Then, we evaluate the function \(\( x \ln x \)\)at the endpoints of each subinterval and sum the areas of the trapezoids formed. The approximation formula for the Composite Trapezoidal rule is: \(\[\int_{a}^{b} f(x) \, dx \approx \frac{h}{2} \left[ f(a) + 2\sum_{i=1}^{n-1} f(x_i) + f(b) \right]\]\)
Using this formula, we can calculate the approximation for the given integral. The limits of the integral \(\( \int_{2}^{2} x^{3} e^{x} \, dx \)\) are given as \(\( 2 \)\) to 2 which indicates an interval of zero length. In this case, the integral cannot be evaluated since there is no interval over which to integrate.
Learn more about integrals here:
https://brainly.com/question/31059545
#SPJ11
Shreya made the following table where she categorized countries by their region and by average business startup costs, as a percentage of the per capita gross national income (gni) for a certain year. She decided that high meant greater than or equal to 8\%8%8, percent but less than 70\%70%70, percent of the gni and that very high meant greater than or equal to 70\%70%70, percent of the gni.
There is an 8.04% chance that the nation is located in south Asia.by the average startup costs as a percentage of the per capita gross national income (GNI).
what is gross national income ?The term "gross national income" (GNI) is used to refer to the sum of the gross domestic product (GDP) and net foreign earnings from the payment of wages, property income, and net taxes (net taxes minus production subsidies).To determine the likelihood that a country is in the South Asia region.
Given
that Shreya classified the country's business startup costs as high, given that she divided the country's average startup costs by its region and by the average startup costs as a percentage of the per capita gross national income (GNI) for a specific year, and given that she determined that 7 of the 87 high-cost countries belong
87 = 100
7 = X
7 x 100/87 = X
700/87 = X
8.04 = X
Thus, there is an 8.04% likelihood that the nation is in South Asia.
To know more about gross national income visit :-
https://brainly.com/question/29646288
#SPJ4
Answer:
7/87
Step-by-step explanation:
khan
You want to prove a theorem in a two-column proof. You start with your given statement and list deductions in the left-hand column. What are the three main types of reasoning you will use for reasons in the right-hand column?
In an indirect proof, you prove an "if-then" statement is true by assuming the statement is false (stating the inverse or converse), and then disproving the false statement. You want to prove the statement shown below in an indirect proof. What statement should you prove is false? (1 point)
Statement to Prove True: If a figure has exactly three sides, then it is a triangle.
Statement to Prove False
Postulates, corollaries, and common notions are the three main types of reasoning we will use for reasons in the right- hand of column.
What is a two column proof in math?A two-column geometric proof consists of a list of statements, and the reasons that we know those statements are true. The statements are listed in a column on the left, and the reasons for which the statements can be made are listed in the right column.
Postulates, corollaries, and common notions are the three main types of reasoning we will use for reasons in the right- hand of column.
Learn more about two column theorem here;
https://brainly.in/question/6257321
#SPJ1
The expression 3(x-9) is equivalent to
03(x)+9.
3(x)+3(9)
03(x) -9.
03(x) – 3(9)
Answer:
The expression equivalent to 3( x - 9) Is
3(x) - 3(9)
3x-27
The answer is D
3(x)-3(9)= 3x-27
Which expression is equivalent to x2 - 40 - 45?
A(x - 9) (x - 5)
B(x +9)(x + 5)
C(x + 9) (x - 5)
D(x-9)(x+5)
Answer:
the answer is B (x+9)(x+5)
Solve the initial value problem t^2dy/dt - t = 1 + y + ty, y(1)=2
y =
For given expression, solution will be y=(t-1)/(1+t).
What are expressions?
Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between. The mathematical operators can be of addition, subtraction, multiplication, or division. For example, x + y is an expression, where x and y are terms having an addition operator in between. In math, there are two types of expressions, numerical expressions - that contain only numbers; and algebraic expressions- that contain both numbers and variables.
e.g. A number is 6 more than half the other number, and the other number is x. This statement is written as x/2 + 6 in a mathematical expression. Mathematical expressions are used to solve complicated puzzles.
Now,
Given expression is t^2dy/dt-t=1+y+ty
After differentiation : As (d/dx) (x^n ) = nx^{n-1}
2t-t=1+y+ty
t-1=y(1+t)
y=(t-1)/(1+t)
for y(1)=2
2+2t=1-t
3t=-1
t=-1/3
To know more about expressions visit the link
https://brainly.com/question/13947055?referrer=searchResults
#SPJ4
How many grams of H2SO4 are needed to prepare 5.0 L of a 2 M H2SO4 solution?
980g of sulphuric acid (H₂SO₄) is needed to prepare 5.0L of a 2M solution.
What is Sulfuric acid?Sulfuric acid, also known as sulphuric acid or oil of vitriol in the past, is a mineral acid made up of the elements hydrogen, oxygen, and sulfur with the chemical formula H₂SO₄. It is a viscous liquid that is miscible with water. It has no color or smell.Sulfuric acid can irritate the nose and throat, burn the eyes, burn holes in the stomach if eaten, cause severe skin burns, and make breathing difficult if inhaled.So, the grams of H₂SO₄ needed will be:
Calculate to prepare 5.0L of a 2M solution.98g/mol × 5mol × 2mol /L = 980g H₂SO₄Therefore, 980g of sulphuric acid (H₂SO₄) is needed to prepare 5.0L of a 2M solution.
Know more about Sulfuric acid here:
https://brainly.com/question/10220770
#SPJ1
Log x+y = logbx − logbyGiven log630 ≈ 1.898 and log62 ≈ 0.387, log615 =____.
Log x+y = logbx − logbyGiven log630 ≈ 1.898 and log62 ≈ 0.387, log615 ≈ 2.086.
Given log 630 ≈ 1.898 and log 62 ≈ 0.387,
We have log 630 = log (6 * 62 * 10) = log 6 + log 62 + log 10 = 1 + 0.387 + 1 = 2.387
And log 615 = log (6 * 62 * 5) = log 6 + log 62 + log 5 = 1 + 0.387 + 0.699 = 2.086
So, log 615 ≈ 2.086
In the example given, log 630 ≈ 1.898 and log 62 ≈ 0.387. These logarithmic values are used to simplify other logarithmic expressions and, the logarithm of 615 was found to be approximately 2.086.
You can learn more about log at
https://brainly.com/question/25710806
#SPJ4
Can anyone please help?
(sorry for low quality...)
Answer:
see below
Step-by-step explanation:
The age is not a proportional relationship because it does not go through the point (0,0)
The hours is a proportional relationship. It goes through the point (0,) and has a constant slope
Answer:
3. NO
4. YES
Step-by-step explanation:
A proportional relation is of the form:
y = kx
Note that the y-intercept has to be 0, and slope should be constant
First one (Height against age) is not proportional because the intercept is 30, not 0
Second one (Time against distance) is proportional because the slope is constant and the y-intercept is 0
Make x the subject of the formula Tx/q = y
Answer:
Step-by-step explanation:
To make 'x' as the subject isolate 'x'.
To isolate 'x',
Step 1: Multiply the entire equation by q
Step 2: Then Divide by T
\(q*\dfrac{Tx}{q}=q*y\\\\\\Tx=qy\\\\\dfrac{Tx}{T}=\dfrac{qy}{T}\\\\\\x=\dfrac{qy}{T}\)
Answer:
x = qy/T
Step-by-step explanation:
We want to isolate the x term. To do that, first multiply by q to end up with Tx = qy.
Then divide by T to get x = qy/T.
x is by itself, and we have our answer.
Your teacher gave you 1012 of a bag of candy, but she only gave your friend 36 of a bag. How much more of the bag did your teacher give you than your friend? Your teacher gave you 1012 of a bag of candy, but she only gave your friend 36 of a bag. How much more of the bag did your teacher give you than your friend?
Answer:
the answer is 986 more of the bag
Step-by-step explanation:
1012 - 36 = 986
ILL GIVE BRAINLIEST PLS HELP ME
Answer:
1 and 4 come in yes and 2 and 3 come into no mark as brainliest
Write the numbers 57 000 000 000 and 19 000
in scientific notation. Explain how you would
divide the first number on the second using
power properties.
Answer:
do you like burger or pizza
Ashley purchased a new television for $2400 and a surround sound for $980. The sales tax is 7%. Find the total amount of money that Ashley will pay for the two items including tax.
Answer:
$3616.60 is the amount of money Ashley would pay
Step-by-step explanation:
Hey there user! Looks like you need help! If you don't get how I got the answer, look below!
The whole work I did:
(2400 + 980) x 1.07 = 3616.6
h+9.5= -9.5
find h. help pls, thank you
In the figure above a || b. If <1=34, find the measure of <2
Answer:
B
Step-by-step explanation:
∠ 1 and ∠ 2 are Alternate exterior angles and are congruent, thus
∠ 2 = ∠ 1 = 34° → B
Select one of the options below as your answer:
A. Gary: The balance in his check register is $500 and the balance in his bank statement is $500.
B. Gail: The balance in her check register is $400 and the balance in her bank statement is $500.
C. Gavin: The balance in his check register is $500 and the balance in his bank statement is $510.
The statement that shows a discrepancy between the check register and bank statement is: C. Gavin: The balance in his check register is $500 and the balance in his bank statement is $510.
The check register shows a balance of $500, while the bank statement shows a balance of $510.
In the case of Gavin, where the balance in his check register is $500 and the balance in his bank statement is $510, there is a $10 discrepancy between the two.
A possible explanation for this discrepancy could be outstanding checks or deposits that have not yet cleared or been recorded in either the check register or the bank statement.
For example, Gavin might have written a check for $20 that has not been cashed or processed by the bank yet. Therefore, the check register still reflects the $20 in his balance, while the bank statement does not show the deduction. Similarly, Gavin may have made a deposit of $10 that has not yet been credited to his account in the bank statement.
To learn more about bank statement
https://brainly.com/question/24179665
#SPJ11
What equation is equivalent to 11 = (15 -6r) + 2r?
Answer:
11 = (15 -6r) + 2r
11= 15-6r+2r
11=15-4r
4=4r
r=1
Help me please answer thanks
please help me quickly ! giving brainliest !
Answer: -57
Step-by-step explanation:
-50+21/-3
-50+-7
-57
What is the volume of the composite figure.Please Help
Answer:
2,304 Inches
(づ ̄ ³ ̄)づhave A nice day
Evaluate the following integral using three different orders of integration.
∫∫∫E(xz−y3)dV,∫∫∫E(xz−y3)dV, where E=(x,y,z)|−1≤x≤3, 0≤y≤4, 0≤
The value of the integral is 32.
The integral you want to evaluate is ∫∫∫E(xz−y³)dV, where E = (x, y, z) with -1≤x≤3, 0≤y≤4, and 0≤z≤1.
To evaluate the integral using three different orders of integration, we will proceed with the following steps:
1. Order: dxdydz
∫(from -1 to 3) ∫(from 0 to 4) ∫(from 0 to 1) (xz - y³) dz dy dx
2. Order: dxdzdy
∫(from -1 to 3) ∫(from 0 to 1) ∫(from 0 to 4) (xz - y³) dy dz dx
3. Order: dydxdz
∫(from 0 to 4) ∫(from -1 to 3) ∫(from 0 to 1) (xz - y³) dz dx dy
After solving these integrals, you will find that all three orders of integration yield the same result: the value of the integral is 32.
To know more about integral click on below link:
https://brainly.com/question/18125359#
#SPJ11
to graph an exponential, you need to plot a few points, and then connect the dots and draw the graph. where do you come up with the values to use in the graph
When graphing an exponential function, a T-chart is commonly used to determine the values. The correct answer is option A.
The T-chart employs positive real numbers since this is the most typical form of exponential function.
Exponential functions are utilized to represent processes that increase or decrease exponentially, as well as to model phenomena in many different disciplines, including science, economics, and engineering.
The exponential function can be represented by the following equation:
\(y=a^x\), where a is the base, x is the exponent, and y is the outcome.
When a is a positive number greater than one, the function is called exponential growth, while when a is a fraction between 0 and 1, the function is called exponential decay.
The T-chart is used to determine the values to use in the graph and connect the dots as required. Positive real numbers are used as the values in the T-chart in order to effectively graph the exponential function.
Therefore, the correct answer is option A.
For more questions on exponential function
https://brainly.com/question/30241796
#SPJ8
Solve the blank: This equation for this graph is y=____x + _______
Answer:
y=3x+2
Step-by-step explanation:
a+history+test+has+30+questions.+a+student+answers+90%+of+the+questions+correctly.+how+many+questions+did+the+student+answer+correctly?
The student answered 27 out of 30 questions correctly on the history test, achieving a 90% accuracy rate.
To calculate the number of questions the student answered correctly, we can multiply the total number of questions (30) by the percentage of questions answered correctly (90%). The calculation is as follows:
Number of questions answered correctly = Total number of questions × Percentage of questions answered correctly
= 30 × 0.90
= 27
Therefore, the student answered 27 questions correctly on the history test.
To learn more about Percentage click here :
brainly.com/question/14318030
#SPJ11
what is the slope of the line that passes through the pair of points (1 7) (10 1)
The line that passes through the points (1, 7) and (10, 1) has a slope of -2/3.
The slope of a line is a measure of its steepness and is defined as the change in the y-coordinate over the change in the x-coordinate between any two points on the line.
The slope of the line that passes through the pair of points (1, 7) and (10, 1) can use the slope formula.
The slope formula states that the slope of a line passing through two points, (x1, y1) and (x2, y2), is given by:
slope = (y2 - y1) / (x2 - x1)
(x1, y1) = (1, 7) and (x2, y2) = (10, 1).
Substituting the values into the formula, we get:
slope = (1 - 7) / (10 - 1)
= -6 / 9
= -2/3
The slope of the line as follows:
For every one unit increase in the x-coordinate the y-coordinate decreases by 2/3 units.
Alternatively for every one unit increase in the x-coordinate the line drops by 2/3 units.
The slope of a line is useful in many applications such as calculating the rate of change of a quantity over time measuring the angle between two lines and determining whether lines are parallel or perpendicular.
For similar questions on slope
https://brainly.com/question/16949303
#SPJ11