Answer:
y = 4/3(x +3)
Step-by-step explanation:
This sort of question is easily answered by making use of the point-slope form of the equation of a line:
y -k = m(x -h) . . . . . line with slope m through point (h, k)
You are given (h, k) = (-3, 0) and m = 4/3. Putting those into the above form gives ...
y -0 = 4/3(x -(-3))
y = 4/3(x +3) . . . . . . point-slope form equation
__
Additional comment
You can use the distributive property to eliminate the parentheses. That puts the equation into slope-intercept form.
y = 4/3x +(4/3)(3)
y = 4/3x +4 . . . . . . slope-intercept equation
__
You may find it useful to remember some different forms of the equation for a line:
y = mx +b . . . . . line with slope m and y-intercept b
y -k = m(x -h) . . . . . line with slope m through point (h, k)
ax +by = c . . . . standard form equation of a line, where a > 0, and a, b, c are mutually prime integers
Parker has 12 blue marbles. Richard has 34
of the number of blue marbles that Parker has.
Part A
Explain how you know that Parker has more blue marbles than Richard without completing the multiplication.
Enter equal to, greater than, or less than in each box.
Multiplying a whole number by a fraction
less than
1 results in a product that is
the original whole number.
Part B
How many blue marbles does Richard have? Enter your answer in the box.
blue marbles
will mark brainleist pls help
Answer:
x = 31°
Step-by-step explanation:
the sum of the 3 angles in a triangle = 180° , that is
x + 54° + 95° = 180°
x + 149° = 180° ( subtract 149° from both sides )
x = 31°
subtract (-x - 3) - (5x + 2)
plz help
find surface area and volume
The surface area and volume of the composite solid is are 1720ft² and 3563.33 ft³ respectively.
What is volume and surface area of composite solid?The area occupied by a three-dimensional object by its outer surface is called the surface area.
The surface area of the solid = lateral area of pyramid + surface area of cuboid
lateral area of pyramid = 4 × 1/2 bh
= 4 × 1/2 × 10× 12
= 120×2 = 240 ft²
Surface area of the cuboid = 2( 100+ 320+ 320)
= 2( 740)
= 1480 ft²
Surface area of the composite solid = 240 + 1480
= 1720 ft²
Volume of the composite solid = volume of cuboid + volume of pyramid
volume of cuboid = 10×10×32 = 3200ft²
volume of pyramid = 1/3base area × height
height of the pyramid is calculated as;
diagonal of base = √ 10²+10²
= √200
= 14.14
h² = 13²-7.07²
h² = 169 - 49.98
h² = 119.02
h = 10.9 ft
Volume of pyramid = 1/3 × 100 × 10.9
= 363.33 ft³
Volume of the composite solid = 3200+363.33
= 3563.33 ft³
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What is the equation of the line that contains the point (-4.-12) and has
the slope of 3?
Answer:
y = 3x
Step-by-step explanation:
⁄(⁄ ⁄•⁄ω⁄•⁄ ⁄)⁄⁄(⁄ ⁄•⁄ω⁄•⁄ ⁄)⁄
Answer:
y=3x
Step-by-step explanation:
if you plug the point, and the equation into Desmos, you can see it´s right!
Which is not a correct way to represent the relation "the second number is 1 less than three times the first number"? y = 3 x + (-1) y = -1 + 3 x y = 3 x - 1 y = 1 - 3 x
Answer:
A would have worked because it is in the correct order.
B is correct as well because the numbers would also equal the same value.
C would also be right because it has the same value as A and B does.
D would not be a way to represent it because if you were to find the equation (use a subsitue value for x,) you would not have gotton the same value as you would have with A, B, and C, if you used the same value for x.
Step-by-step explanation:
SO THEREFORE THE ANSWER IS (D)
The option that is not a correct way to represent the relation ''the second number is 1 less than three times the first number'' algebraically is the option; y = 1 - 3·x
What is an algebraic equation?An algebraic equation is a mathematical statement that indicates the equivalence of two algebraic expressions.
The relation ''the second number is 1 less than three times the first number'' can be expressed algebraically as y = 3·x - 1, where x represents the first number and y represents the second number. The equation, y = 3·x - 1 states that the value of y equals three times the value of x minus 1.
A comparison of the options indicates that the first three are equivalent to y = 3·x - 1, while the fourth option is; y = 1 - 3·x
The option that is not a correct way to represent the relation is the option y = 1 - 3·x
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show full solutions.15. Name the indicated parts of this diagram.
Given:
A circle with a center at C.
Required:
We need to find the names of the given parts.
Explanation:
Recall that radius is a line segment extending from the center of a circle to the circumference.
Line segment AC extends from the center C of a circle to the circumference.
\(AC=Radius\)Recall that the arc of a circle is defined as the part of the circumference of a circle.
AE is the part of the circumference of a circle.
\(AE=Arc\)Recall that a straight line segment joins and is included between two points on a circle.
D and E are two points on a circle.
A straight line DE line segment joins and is included between two points D and E on a circle.
\(DE=Chord\)Recall that meeting a curve or surface in a single point if a sufficiently small interval is considered a straight line tangent to a curve.
AB is tangent.
\(AB=Tangent\)Recall that an inscribed angle is an angle with its vertex "on" the circle, formed by two intersecting chords.
\(\measuredangle ADE=\text{ Inscribed angle.}\)Recall that a central angle is an angle formed by two radii with the vertex at the center of the circle.
\(\measuredangle ACE=\text{ Central angle}\)Recall that an angle formed by an intersecting tangent and chord has its vertex "on" the circle.
\(\measuredangle\measuredangle CAB=\text{ Tangent Chord Angle}\)Final answer:
\(AC=Radius\)\(AE=Arc\)\(DE=Chord\)\(AB=Tangent\)\(\measuredangle ADE=\text{ Inscribed angle.}\)\(\measuredangle ACE=\text{ Central angle}\)\(\measuredangle\measuredangle CAB=\text{ Tangent Chord Angle}\)whats the slope of the graph hurry !
Answer:
2
Step-by-step explanation:
Answer:
Undefined
Step-by-step explanation:
A 12 oz box of sugar costs $3.10 and a 36 oz box of sugar costs $7.90. Which box of sugar is the better buy?
Answer: 36 oz box
Step-by-step explanation:
3.1/12=0.258333
7.9/360.291444
Thus, the 36 oz box is the better buy
What is the solution to the system?
-4x - 2y = 8
y = x2 - 3
Will give points for answer
Answer:
Step-by-step explanation:
to find x;
-4x - 2 -1 =8
-4x + 3 = 8
+4 + 3 = +4
x + 3 = 12
-3 + -3
x = 10
to find y;
y = x2 - 3
y = (10)2 - 3
y = 20 - 3
y = 17
If a_1=3a 1 =3 and a_n=(a_{n-1})^2+4a n =(a n−1 ) 2 +4 then find the value of a_4a 4 .
The fourth term a₄ of the sequence is 29933
How to determine the value of a₄ of the sequence?From the question, we have the following definition of the function that can be used in our computation:
a₁= 3
aₙ = (aₙ₋₁)² + 4
The above definitions imply that we simply square the previous term and then add 4 to the squared result to get the current term
Using the above as a guide,
so, we have the following representation
a₂ = (3)² + 4
a₂ = 13
Also, we have
a₃ = (13)² + 4
a₃ = 173
Lastly, we have
a₄ = (173)² + 4
Evaluate the equation
a₄ = 29933
Hence, the value of a₄ is 29933
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What is the area of this
Answer:
your answer will be 699.78 km
Step-by-step explanation:
11, 13, 17, 25, 32, 37,
A) 58. B) 67
C) 47
D) 65
E) 59
Answer:
C 47
omae wa mou
A pound of almonds costs $7.20. Tony buys 3.25 pounds.
How much does Tony pay for the almonds?
Answer:
32.4 dollars
Step-by-step explanation:
the number of stories in each of the world’s 30 tallest buildings is listed below
a. Why would it be ineffective to display this data as an ungrouped frequency distribution
An ungrouped frequency distribution would be ineffective because there is a large number of stories, hence they should be grouped into ranges.
What is a frequency distribution?A frequency distribution gives the percentages/proportions of each outcome in a distribution.
These frequencies distributions are classified as follows:
Ungrouped: lone outcomes.Grouped: outcomes divided into intervals.The measures in this problem are given by the image at the end of the answer, and we can see that there is a small amount of repeating values, they are in interval ranges, hence an ungrouped frequency distribution would be ineffective.
Missing InformationThe list with the number of stories in the buildings is given by the image at the end of the answer.
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There are 36 doughnuts in 3 boxes.
How many doughnuts are in 7 boxes?
Answer:
x=84
Step-by-step explanation:
\(\frac{36}{3}=\frac{x}{7}\)
(cross multiply)
252=3x
(divide both sides by 3)
x=84
A group of students was surveyed in a middle school class. They were asked how many hours they work on math homework each week. The results from the survey were recorded.
Number of Hours | Total Number of Students
0 | 1
1 | 3
2 | 2
3 | 10
4 | 9
5 | 7
6 | 3
Determine the probability that a student studied for exactly 4 hours. Round to the nearest hundredth.
A. 0.74
B. 0.35
C. 0.26
D. 0.11
The probability that a student studied for 4 hours is 0.257 Or 26%.
What is probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.
The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.
The degree to which something is likely to happen is basically what probability means.
Given:
A table is given where the first column represents the number of hours a student studied math and the second column represents the number of students.
So, sum of the second column is 35. so it is the total number of students
and, only 9 of them studied mathematics for 5 hours.
Therefore, The probability that a student studied for 4 hours is,
= 9/35
= 0.257 or 26%.
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What do you think the important skills necessary in solving problems in differential calculus?
Answer:
idk if this helps but here:
Cutoff points are a crucial piece of calculus and are among the main things that understudies find out about in a calculus class. So, finding the constraint of a capacity implies figuring out what esteem the capacity approaches as it draws nearer and more like a specific point.
Step-by-step explanation:
Reflect quadrilateral ABCD across the line y = -2. Write the new coordinate points.
To reflect a figure across a line we need to change it's points in such a way that the distance from the lines remains the same, but the sides are opposite. So the points A, B, C and D should still have the same distance from y=-2, but they must be positioned on the other side of that line.
We first need to calculate the distance that each point has from the line.
Point A:
The coordinates for the point A are (-2,-1) Since the line is y=-2, then point A is one unit above the line. It's new coordinate should be (-2,-3), because now it will be one unit below the line.
Point B:
The coordinates for the point B are (-1,3). Since the line is y=-2, then point B is 5 units above the line. It's new coordinate should be (-1, -7), because now it will be 5 units below the line.
Point C:
The coordinates for the point C are (3,2). Since the line is y=-2, then point C is 4 units above the line. It's new coordinates should be (3,-6), because now it will be 4 units below the line.
Point D:
The coordinates for the point D are (2,-1). Since the line is y=-2, then point D is one unit above the line. It's new coordinates should be (2,-3).
The new coordinates for the points are: A(-2,-3); B(-1,-7); C(3,-6) and D(2,-3).
La empresa clarisse dedicada al rubro de telefónica, está ampliando su cobertura, debido a esto está colocando postes, donde la séptima parte de un poste está enterrada, y sobresale del suelo 25 metros. Calcular la altura del poste aproximado a los centímetros.
The approximate height of the pole in centimeters is 17,500 centimeters.
We have,
Let's start by calculating the total length of the pole, which is buried plus the part that protrudes from the ground.
We know that the part that protrudes is 25 meters and that it represents one-seventh of the total length.
25 = L/7
where L is the total length of the pole.
We can solve for L by multiplying both sides of the equation by 7:
L = 7 x 25
= 175 meters
Now we need to convert this length to centimeters.
Since 1 meter is equal to 100 centimeters,
175 meters x 100
= 17,500 centimeters
Therefore,
The approximate height of the pole in centimeters is 17,500 centimeters.
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The complete question.
The Clarisse company, dedicated to the telephone business, is expanding its coverage, due to this, it is placing poles, where the seventh part of a pole is buried, and protrudes 25 meters from the ground. Calculate the approximate height of the pole in centimeters.
in last weeks volleyball game Ashley served 15 times and made 2 errors. What was her serving percentage? (what percent did she serve it in?
I will mark you brainiest
Consecutive angles are supplementary
Which of the following is correct? May be more than one answer for the question
rhombus
rectangle
square
parallelogram
All consecutive angles are supplementary and if a quadrilateral is a parallelogram then they follow this rule. Therefore parallelograms, rhombuses, rectangles, and squares all follow this rule.
a line has a slope of 9/5 if one of the points on the line is (-10, -16), which of the following could be another point on the line?
Answer:
(0,2) is the answer - Option C.
Step-by-step explanation:
Equation of a line:
The equation of a line, in point-slope form, is given by:
\(y - y_0 = m(x - x_0)\)
In which m is the slope and the point is \((x_0,y_0)\)
Slope of 9/5 if one of the points on the line is (-10, -16)
This means that \(m = \frac{9}{5}, (x_0,y_0) = (-10,-16)\). So
\(y - y_0 = m(x - x_0)\)
\(y - (-16) = \frac{9}{5}(x - (-10))\)
\(y + 16 = \frac{9}{5}(x + 10)\)
Which of the following could be another point on the line?
We have to find a point for values of x and y which gives us an identity. So
Option A:
x = -5, y = -6
Lets see
\(-6 + 16 = \frac{9}{5}(-5+10)\)
\(10 = \frac{9*5}{5}\)
\(10 = 9\) -> False
So this is not the answer.
Option B:
x = 4, y = 11
\(11 + 16 = \frac{9}{5}(4 + 10)\)
\(27 = 9*14/5\)
False
Option C:
x = 0, y = 2
\(2 + 16 = \frac{9}{5}(x+10)\)
\(\frac{90}{5} = 18\)
\(18 = 18\)
True, so (0,2) is the answer - Option C.
Celine purchased a ball of red yarn costing $2.33. She gave the cashier $7.19. How much change did the cashier give back to Celine?
Answer:
$ 4.86
Step-by-step explanation:
Subtract 7.19 and 2.33
7.19-2.33=4.86
Matthew invested $8,000 in an account paying an interest rate of 3 1/8% compounded
continuously. Parker invested $8,000 in an account paying an interest rate of 2 3/4%
compounded annually. To the nearest dollar, how much money would Parker have in
his account when Matthew's money has tripled in value?
Parker would have approximately $13,774 in his account when Matthew's money has tripled in value.
We have,
For Matthew's investment, the continuous compounding formula can be used:
\(A = P \times e^{rt}\)
Where:
A = Final amount
P = Principal amount (initial investment)
e = Euler's number (approximately 2.71828)
r = Annual interest rate (in decimal form)
t = Time (in years)
In this case,
Matthew's money has tripled,
So A = 3P.
For Parker's investment, the formula for compound interest compounded annually is used:
\(A = P \times (1 + r)^t\)
Where:
A = Final amount
P = Principal amount (initial investment)
r = Annual interest rate (in decimal form)
t = Time (in years)
We need to find t when Matthew's money has tripled in value.
Let's set up the equation:
\(3P = P \times e^{rt}\)
Dividing both sides by P, we get:
\(3 = e^{rt}\)
Taking the natural logarithm of both sides:
ln(3) = rt
Now we can solve for t
t = ln(3) / r
For Matthew's investment,
r = 3 1/8% = 3.125% = 0.03125 (as a decimal).
For Parker's investment,
r = 2 3/4% = 2.75% = 0.0275 (as a decimal).
Now we can calculate t for Matthew's investment:
t = ln(3) / 0.03125
Using a calculator, we find t ≈ 22.313 years.
Now, we can calculate how much money Parker would have in his account at that time:
\(A = P \times (1 + r)^t\)
\(A = $8,000 \times (1 + 0.0275)^{22.313}\)
Using a calculator, we find A ≈ $13,774.
Therefore,
Parker would have approximately $13,774 in his account when Matthew's money has tripled in value.
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Answer:
20,763
Step-by-step explanation:
I saw the answer after I got it wrong
lect the correct answer.
Under which condition is the sample proportion, , a point estimate of the population proportion?
A.
The sample proportion is never a point estimate of the population proportion.
B.
The sample represents a proportion of the population.
C.
The sample proportion is unbiased.
D.
The sample size, n, is small enough.
Reset Next
The correct answer is B. The sample represents a proportion of the population.
What is the sample population ?
A point estimate is a single value used to estimate a population's unknown parameter. The sample proportion (denoted by p), in the context of determining the population proportion, is a widely used point estimate. The sample proportion is determined by dividing the sample's success rate by the sample size.
The sample must be representative of the population for it to be a reliable point estimate of the population proportion. To accurately reflect the proportions of various groups or categories present in the population, the sample should be chosen at random.
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Synthetic Division to Find Zeros
if f(x)=x^3−3x^2+16x+20 and x+1 is a factor of f(x), then find all of the zeros of f(x) algebraically.
Answer:
Step-by-step explanation:
Since we know that x + 1 is a factor of f(x), we can use synthetic division to find the other factor and then solve for the remaining zeros.
We set up synthetic division as follows:
-1 | 1 -3 16 20
| -1 4 -20
|_____________
1 -4 20 0
The last row of the synthetic division gives us the coefficients of the quadratic factor, which is x^2 - 4x + 20. We can use the quadratic formula to find its roots:
x = (-(-4) ± sqrt((-4)^2 - 4(1)(20))) / (2(1))
= (4 ± sqrt(-64)) / 2
= 2 ± 2i√2
Therefore, the three zeros of f(x) are -1, 2 + 2i√2, and 2 - 2i√2.
If m of 8 = 23 degrees, find each measure. Give your reasoning. (Just need the rest of the answers.)
Use the diagrams to find the missing sides of the right triangles.-Round your results to two decimal places as needed.
ok
I need to find a
I'll find a using the Pythagorean theorem
\(\begin{gathered} \text{ c}^2=a^2+b^2 \\ \text{ a}^2=c^2-b^2 \end{gathered}\)Substitution
\(\begin{gathered} \text{ a}^2=9.5^2-7.6^2 \\ a^2\text{ = 90.25 - 57.76} \\ a^2\text{ = 32.49} \\ a\text{ = }\sqrt[]{32.49} \\ a\text{ = 5.7} \end{gathered}\)Result
a = 5.7
Swornima is an unmarried nurse in a
hospital. Her monthly basic salary is Rs
48,000. She has to pay 1% social
security tax on her income up to Rs
5,00,000 and 10% income tax on Rs
5,00,001 to Rs 7,00.000. She gets 1
months' salary as the Dashain
allowance. She deposits 10% of her
basic salary in Citizen Investment Trust
(CIT) and gets 10% rebate on her
income tax. Answer the following
questions. (i) What is her annual
income? How much tax is rebated to
her? (iii) How much annual income tax
should she pay?
To calculate Swornima's annual income and the amount of tax she should pay, let's break down the information provided:
Monthly basic salary: Rs 48,000
Social security tax rate: 1%
Income tax rate on income up to Rs 5,00,000: 0% (no tax)
Income tax rate on income from Rs 5,00,001 to Rs 7,00,000: 10%
Dashain allowance: 1 month's salary
Deposit in Citizen Investment Trust (CIT): 10%
Rebate on income tax: 10%
(i) Annual Income:
Swornima's monthly basic salary is Rs 48,000, so her annual basic salary would be:
Annual Basic Salary = Monthly Basic Salary x 12
= Rs 48,000 x 12
= Rs 5,76,000
Additionally, she receives 1 month's salary as the Dashain allowance, which we can add to her annual income:
Annual Income = Annual Basic Salary + Dashain Allowance
= Rs 5,76,000 + Rs 48,000
= Rs 6,24,000
Swornima's annual income is Rs 6,24,000.
(ii) Tax Rebate:
Swornima receives a 10% rebate on her income tax. To calculate the rebate, we need to determine her income tax first.
(iii) Annual Income Tax:
First, let's calculate the income tax for the range of income from Rs 5,00,001 to Rs 7,00,000. The tax rate for this range is 10%.
Taxable Income in this range = Rs 6,24,000 - Rs 5,00,000
= Rs 1,24,000
Income Tax in this range = Taxable Income x Tax Rate
= Rs 1,24,000 x 0.1
= Rs 12,400
Now, let's calculate the total annual income tax:
Total Annual Income Tax = Income Tax in the range Rs 5,00,001 to Rs 7,00,000
= Rs 12,400
Next, we calculate the rebate on income tax:
Tax Rebate = Total Annual Income Tax x Rebate Rate
= Rs 12,400 x 0.1
= Rs 1,240
Swornima's annual income tax is Rs 12,400, and she receives a tax rebate of Rs 1,240.
To summarize:
(i) Swornima's annual income is Rs 6,24,000.
(ii) Swornima's tax rebate is Rs 1,240.
(iii) Swornima should pay an annual income tax of R