Answer:
The given equation is 3 + 7x + 11 + 10x = y.
Simplifying the equation, we get:
y = 17x + 14
Comparing with the standard linear equation y = mx + b, we can see that:
m = 17
b = 14
Therefore, m = 17 and b = 14.
Write the letter of the definition next to the matching word as you work through the lesson.
The matching word are as follows:- center of dilation - C,corresponding angles - D,dilation - E,scale factor (of a dilation) - A,similar polygons - B respectively.
What are corresponding angles?Corresponding angles are a pair of angles that have the same relative position at the intersection of two lines when one line is crossed by a transversal.
They are located in corresponding (matching) positions in congruent or similar figures, and are congruent if the figures are similar.
center of dilation: C.The fixed point that is parallel to each point on the pre-image and the corresponding point on the picture during a dilatation
corresponding angles: D.a pair of angles in two congruent or similar figures that are in the same relative position
dilation: E. The transformation in which each point on the image lies on the same line as the corresponding point on pre-image and a fixed point called the center of dilation.
scale factor (of a dilation): in a dilation, the constant rate between the distance from the center of dilation and a point on the image and the distance from the center of dilation and the matching point on thepre-image
similar polygons: B.two or further polygons in which corresponding angles are harmonious and the lengths of corresponding sides are in proportion.
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Hello um I don’t really know what the actual like thing we are learning I just copied it down and I can’t find anywhere to learn it so I’m just gonna show a question.
1/15 = 5/8 (fractions)
A) 5,625 square ft
B) 9,000 square ft
C) 40 square ft
D) 600 square ft
Can someone please tell me the answer and also what I’m learning about? I need it before the end of the day!!
Answer:
The question you provided is a math problem involving fractions, specifically solving for an unknown quantity using a proportion. Here is how you can solve it:
1/15 = 5/8
To solve for the unknown quantity, you can use cross-multiplication, which means multiplying the numerator of the first fraction by the denominator of the second fraction and vice versa:
1 * 8 = 15 * 5
Simplifying this equation, we get:
8 = 75
This is a contradiction, so the given equation has no solution. Therefore, none of the answer choices (A, B, C, D) are correct.
I hope this helps! If you have any further questions, feel free to ask.
11) m/EFG=132°, m/CFG=x+111,
and m/EFC=x+23. Find mLEFC.
Suppose 50 rabbits are on Groff Farm… DOUBLING every year…
How many rabbits after 5 years?
How many rabbits after 10 years?
Answer:
Step-by-step explanation:
After the first year, the number of rabbits will double from 50 to 100.
After the second year, the number of rabbits will double again from 100 to 200.
This doubling process will continue for a total of 5 years, so after 5 years, the number of rabbits will be:
Number of rabbits after 5 years = 50 x 2^5 = 50 x 32 = 1600
Therefore, there will be 1600 rabbits on Groff Farm after 5 years.
Similarly, after 10 years, the number of rabbits will double 10 times:
Number of rabbits after 10 years = 50 x 2^10 = 50 x 1024 = 51200
Therefore, there will be 51,200 rabbits on Groff Farm after 10 years.
9.
Joaquin is planning to buy a new video game system. It is on sale for $350. The sales
tax in Greeley is 7%. Which expression below tells how much Joaquin will pay? (1pt)
a. $350-0.07 x $350
b. $350+ 0.07 x $350
c. 0.07 x $350
d. $350+$350 +0.07
Answer:
correct answer
c. 0.07 × $350
(2/9) of students in a school are in the sixth grade.
How many sixth graders are there if the school has 90 students?
How many sixth graders are there if the school has 27 students?
How many students are in the school if 42 of them are sixth graders?
Answer:
1. 90 students x (2/9) = 20 sixth graders
2. 27 students x (2/9) = 6 sixth graders
3. 42 sixth graders x (9/2) = 189 students
Solve the following. Find the unknown term of the proportion.
Problem:
If 3 pieces of shirts costs Php100. How much are you going to pay for 12 pieces of shirts?
Ps: kung di niyo alam yung sagot wag niyo kunin yung points :))
Answer:
Step-by-step explanation: 12 / 3 = 4, so php100 x 4 = Php400
Show how the model in problem 7 would change if
pl>lql. Draw the model, labeling p, q, and p + q.
Then write an addition equation using integers that
could represent p, q, and p + q.
Problem 7) The model labelling p, q and p + q is given in the attached. The addition equation using integers that could represent p, q, and p + q are:
(-1) + 2 = 1
Problem 8) The model would change if p > q
What is the explanation for the above response?7) Addition equation is given as:
(-1) + 2) = 1
Where ;
p = -1
q = 2
Hence,
-1 + 2 = 1
8) The model in the equation above would change if p > q
That is
|p| > |q|
⇒ p > q
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Full Question:
Although part of your question is missing, you might be referring to this full question: See attached image.
Represent the following sentence as an algebraic
expression, where "a number" is the letter x. You
do not need to simplify.
9 less than six times a number.
Algebraic expressions are useful for solving different and complex equations in mathematics, as well as for modelling real-life situations such as revenue, cost, inference, etc
The algebraic expression is: [tex]6x - 9[/tex].
What is the use of algebraic expression?To represent the sentence as an algebraic expression, we can follow these steps: Identify the variable. In this case, “a number” is x. Identify the operation. In this case, “less than” means subtraction and “times” means multiplication.
An algebraic expression is an expression that contains variables, constants and mathematical operations. Algebraic expressions are useful because they can help us solve different and complex equations.
For example, if you want to calculate the area of a rectangle with length x and width y, you can use the algebraic expression xy to represent the area.
Write the expression using the order of operations. In this case, we need to multiply six by x first, then subtract nine from the result.
Therefore, The algebraic expression is: [tex]6x - 9[/tex]
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21 20 18 15 11 ? WHAT COMES NEXT
Answer: 6
Step-by-step explanation:
21 - 1 = 20
20 - 2 = 18
18 - 3 = 15
15 - 4 = 11
11 - 5 = 6
Zoe is saving money to go on a trip to Mexico. She earns 16.75 for mowing the lawn . If Zoe mows the lawn 28 times how much money will she earn
469
do 16.75 x 28 which will equal to 469
3) The Algebros go paintballing. Mr. Kelly and Mr. Sullivan climb up and lie on the top of a shed that is 5 feet off
the ground. The others send Mr. Brust up a tree to hide and he was doing a great job picking off the competition
when he stands up and shouts "Guys....Gee.... I'm a Tree!" The guys on the shed decide to just take him out so he
doesn't give away their position. They look up at about a 65° angle of elevation and know that the tree is 40 feet in
front of them. How far will Mr. Brust fall out of the tree when they shoot him?
Mr. Brust is standing at a height of approximately 90.6 feet in the tree. When they shoot him, he will fall from this height.
How to solveLet's break down the problem and solve it step by step.
First, we'll find the height from which Mr. Brust falls, and then we'll find the total distance he falls considering the tree's height and the height of the shed.
Find the height of the tree where Mr. Brust is standing:
We can use the tangent function to find the height of the tree above the shed where Mr. Brust is hiding.
tan(θ) = opposite/adjacent
We know the angle of elevation (θ) is 65°, and the tree is 40 feet in front of the shed. So, we have:
tan(65°) = height_above_shed / 40 ft
height_above_shed = 40 ft * tan(65°)
Using a calculator, we find:
height_above_shed ≈ 40 ft * 2.14 ≈ 85.6 ft
Find the total height of the tree where Mr. Brust is standing:
Since Mr. Kelly and Mr. Sullivan are 5 feet off the ground, we need to add this height to the height_above_shed we just calculated:
total_height = height_above_shed + height_of_shed
total_height = 85.6 ft + 5 ft = 90.6 ft
So, Mr. Brust is standing at a height of approximately 90.6 feet in the tree. When they shoot him, he will fall from this height.
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What is the measure of the intercepted arc of the inscribed angle shown in the image below?
Therefore, the measure of the intercepted arc by the inscribed angle of 61 degrees is 122 degrees.
What is circle?A circle is a closed shape in geometry that is defined as the set of all points in a plane that are at a fixed distance from a given point, called the center of the circle. The distance between any point on the circle and the center is called the radius of the circle.
Given by the question.
In a circle, an inscribed angle is an angle formed by two chords of the circle that have a common endpoint on the circle. The measure of an inscribed angle is half the measure of its intercepted arc.
Let's call the intercepted arc by the inscribed angle "x". Then, the measure of the inscribed angle is 61 degrees, and we can use the formula mentioned above to find the measure of the intercepted arc:
61 = x/2
To solve for x, we can multiply both sides of the equation by 2:
122 = x
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What is the inverse of each statement below: Be sure to label your
answers as a, b, c, and d.
a.) Add 25
b.) Divide -18
c.) Subtract 3
d.) Multiply 14
The term “inverse” in mathematics generally refers to an operation that undoes or reverses another operation. However, the phrase "inverse of maths tools" doesn't really make sense because “maths tools” is not a specific mathematical operation.
What is the inverse of maths tools?Mathematical tools can refer to various instruments or techniques used in mathematics, such as calculators, rulers, compasses, graph paper, software, etc. Each of these tools has its own purpose and may or may not have an inverse operation or tool associated with it.
For example, the inverse of addition is subtraction, the inverse of multiplication is division, and the inverse of differentiation is integration. However, it's not clear what the inverse of a “maths tool” would be.
Therefore, a) The inverse of “Add 25” would be “Subtract 25.”What is the b) The inverse of “Divide -18” would be “Multiply -18.” c) The inverse of “Subtract 3” would be “Add 3.” d) The inverse of “Multiply 14” would be “Divide 14.”
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during last nights basketball game the number of points scored by the hornets was triple the number of points scored by the raiders the raiders scored 6 points how many points did the hornets score?
2
9
12
18?
Answer:
18
Step-by-step explanation:
siz times three is eighteen
In 1964, a car manufacturer introduced a new sports car that retailed for $2000. On average, the value of the car has appreciated at
1964.
11.3% per year. Using the standard form of an exponential, given below, write an equation to model the value of the car, z years after
y = ab^x
A=??
B=??
We may conclude after answering the presented question that where equation V(z) is the value of the car z years after 1964.
What is equation?An equation in mathematics is a statement that states the equality of two expressions. An equation is made up of two sides that are separated by an algebraic equation (=). For example, the argument "2x + 3 = 9" asserts that the phrase "2x Plus 3" equals the number "9." The purpose of equation solving is to determine the value or values of the variable(s) that will allow the equation to be true. Equations can be simple or complicated, regular or nonlinear, and include one or more elements. The variable x is raised to the second power in the equation "x2 + 2x - 3 = 0." Lines are utilized in many different areas of mathematics, such as algebra, calculus, and geometry.
To model the value of the car, we can use the exponential growth formula:
[tex]V(t) = V0 * (1 + r)^t\\V(t) = ab^t\\a = V0 = $2000\\b = 1 + r = 1 + 0.113 = 1.113\\V(z) = 2000 * 1.113^z\\[/tex]
where V(z) is the value of the car z years after 1964.
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Bob drove 845 miles in 13 hours.
At the same rate, how many miles would he drive in 9 hours ?
Answer:
585 miles
Step-by-step explanation:
845 miles ÷ 13 hours = 65 mph
645 mph * 9 hours = 585 miles
Elmer invested $100 into a savings account that earns annual simple interest. At the end of 3 years, he earned $15 in interest. What is the interest rate on the savings account? Round to the nearest tenth of a percent.
Answer:
To find the interest rate, we can use the formula for simple interest:
I = Prt
Where:
I = Interest earned
P = Principal (initial investment)
r = Interest rate
t = Time
We are given that P = $100, t = 3 years, and I = $15. Substituting these values, we get:
15 = 100 * r * 3
Solving for r, we get:
r = 15 / (100 * 3) = 0.05
Therefore, the interest rate on the savings account is 5%.
Compute the probability that a randomly selected person does not have a birthday on the 1st day of the month.
Answer:
0.9973 or 364/365
Step-by-step explanation:
Assuming that every day of the year is equally likely to be someone's birthday, the probability that a randomly selected person has a birthday on the 1st day of the month is 1/365, since there are 365 possible birthdays in a year.
Therefore, the probability that a randomly selected person does not have a birthday on the 1st day of the month is:
P(not on 1st day) = 1 - P(on 1st day)
P(not on 1st day) = 1 - 1/365
P(not on 1st day) = 364/365
So, the probability that a randomly selected person does not have a birthday on the 1st day of the month is 364/365 or approximately 0.9973.
a) Construct a probability distribution
b) Graph the probability distribution using a histogram and describe its shape
c) Find the probability that a randomly selected student is less than 20 years old.
d) Find the probability that a randomly selected student's age is more than 18 years
old but no more than 21 years old.
LOOK AT SCREENSHOT FOR FULL QUESTION
The probability that a randomly selected student's age is more than 18 years old but no more than 21 years old is 0.57.
What is a continuous random variable's probability?
Continuous random variables are defined as having an infinite number of possible values. A continuous random variable hence has no probability of having an accurate value.
a) In order to create a probability distribution, all potential values of the random variable must be listed along with the related probabilities. We may get the relative frequency (or probability) for each value of the random variable from the above frequency distribution:
Age Frequency Probability
16 3 0.03
17 5 0.05
18 10 0.10
19 15 0.15
20 20 0.20
21 22 0.22
22 17 0.17
Total 92 1.00
b) We can use a histogram to see the probability distribution. The likelihood is represented by the vertical axis, while the age is represented by the horizontal axis. The height of each bar in the histogram should represent the likelihood for that age, with bars for each age value.
With a peak at age 20, the distribution's shape looks to be roughly symmetrical.
c) To get the likelihood that a student chosen at random is under 20 years old, we must add the probabilities for the ages 16, 17, 18, and 19:
P(age < 20) = P(age = 16) + P(age = 17) + P(age = 18) + P(age = 19)
= 0.03+0.05+0.10+0.15
= 0.33
Consequently, there is a 0.33 percent chance that a randomly chosen student is under 20 years old.
d) To determine the likelihood that a randomly chosen student is older than 18 but not older than 21, we must add the probabilities for the ages 19, 20, and 21:
P(18 < age ≤ 21) = P(age = 19) + P(age = 20) + P(age = 21)
= 0.15 + 0.20 + 0.22
= 0.57
As a result, there is a 0.57 percent chance that a randomly chosen student will be older than 18 but not older than 21.
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41 and 51 are two side lengths of a right triangle. The three sides form a Pythagorean triple. Find the value of the third side, x. State whether it is the hyp or a leg.
Find the value of X.
The value of x such that x - 4 and 2x + 1 are angles on a line is 61
Calculating the value of xx - 4 and 2x + 1 are angles on a line.
Using the theorem of sum of angles on a line that states that:
When two angles are on a line, they add up to 180 degrees.
So we have:
x - 4 + 2x + 1 = 180
Simplifying and solving for x:
3x - 3 = 180
So, we have
3x = 183
Divide both sides by 3
x = 61
Therefore, x = 61 is the value that makes x - 4 and 2x + 1 angles on a line.
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Aniyah has 23 cups of oats in one container. She has 4 cups of oats another container. How many cups of cats does she have in total?
Answer:
27 cups of oats
Step-by-step explanation:
23
+ 4=27
Use the formula SA = 2πrh + 2πr2 to find is the surface area of the cylindrical food storage container. Use 3.14 for π. Round your answer to the nearest hundredth of a square inch.
A cylinder. The radius of the base is 8 inches and the height of the cylinder is 11 inches.
Step-by-step explanation:
SA = 2πrh + 2πr²
where;
π = 3.14
r = 8
h = 11
Slotting in those parameters, we have;
= (2 x 3 x 8 x 11) + ( 2 x 3 x 8²)
= 528 + 384
= 912 inches²
To the nearest 100th, answer becomes 900inches²
hii I NEED HELP WITH 2 and 3 WILL BE GIVING 20 points!
Part A: The slope of line p is 4, so when multiplied by the dilation factor of 2, the slope of line q is 8.
Part B: The y-intercept of line p is (0, 4). When multiplied by the dilation factor of 2, the y-intercept of line q is (0, 8).
What is a slope?A slope is a measure of how steep a line is when plotted on a graph. It is calculated by finding the ratio of the "rise" (vertical change) over the "run" (horizontal change). Slopes can be positive, negative, zero, or undefined. A positive slope is one where the line rises from left to right and a negative slope is one where the line falls from left to right.
Part A: The slope of line q can be determined by calculating the slope of line p and multiplying it by the dilation factor. The slope of line p is 4, so when multiplied by the dilation factor of 2, the slope of line q is 8.
Part B: The y-intercept of line q can be determined by calculating the y-intercept of line p and adjusting it for the dilation factor. The y-intercept of line p is (0, 4). When multiplied by the dilation factor of 2, the y-intercept of line q is (0, 8).
Line segment P'Q is created by the two points (8, 5) and (12, 8). Using the distance formula, the length of line segment P'Q can be determined. The formula for the distance between two points is (x2-x1)² + (y2-y1)². Substituting the coordinates for points P and Q into the formula, the length of line segment P'Q is calculated as (12-8)² + (8-5)²= 9. Therefore, the length of line segment P'Q is 9 units.
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Find the Volume of the rectangular prism
Answer:
421.875 ft³
Step-by-step explanation:
Since the length, width, and heigh are equal, this is a cube.
V = s³
V = (7.5 ft)³
V = 421.875 ft³
Answer:421.875 ft^3
Step-by-step explanation:
Sally opens a savings account with $9,000 that earns 7% interest per year, not compounded How much interest, to the nearest penny, will Sally earn in 7 years?
Answer: Sally will earn $4,830.00 in interest over 7 years.
Step-by-step explanation:
If the interest is not compounded, then Sally will earn simple interest, which can be calculated using the formula:
I = P * r * t
where:
I = the interest earned
P = the principal amount (initial investment)
r = the annual interest rate (as a decimal)
t = the time period, in years
In this case, we have:
P = $9,000 (the initial deposit)
r = 7% = 0.07 (the annual interest rate)
t = 7 (the number of years)
So, plugging in the values:
I = $9,000 * 0.07 * 7
I = $4,830.00
Therefore, Sally will earn $4,830.00 in interest over 7 years.
Rewrite quadratic function in standard form
Since the function is already in standard form (ax^2 + bx + c form) you don't have to change anything and simply rewrite it.
For the vertex, if you have a quadratic function in standard form -b/2a is the x value of the vertex.
-b/2a = -4/(2(2)) = -1
Since we now know the x-value of the vertex we can plug it into the function to find the corresponding y-value.
h(-1) = 2(-1)^2 + 4(-1) - 10 = -12
So, the vertex is at (-1,-12)
Circle O is shown below. Which of the statements below are correct? Choose all that are correct. A. mAC=156° B. mAC=200° C. m∠ACB=44° D. m∠BAC=58° E. m∠BAC=28° F. m∠ACB=22°
The statements that are correct are:
m∠ACB = 44° (Option B)
m∡AC = 156° (Option C)
What is the explanation for the above response?
A) m∠ACB = 44° is correct because the Circle Theorem indicates that the angle at the center is twice or double the one at the circumference.
Since, the one at the center is already 88°, thus, the one at the angle at the circumference = 88°/2 = 44°
Hence, m∠ACB = 44° (Option B) is correct.
B) m∡AC = 156° (Option C)
To get this, we need to state,
360° - 116° - 88° = 156° (Option C)
C) m∡ BAC should be determined using Alternate Segment Theorem.
According to this theorem which states that the angle that lies between a tangent c and a chord is equal to the angle subtended by the same chord in the alternate segment,
∠BAC is supposed to be equal to ∠GAC - ∠GAB
That is:
∠BAC = 90° - 44°
∠BAC = 46°
However, this is questionable because, we have proven that ∠BAO = (180-88)/2 = 46° (Isoceles Δ BOA created by shared Radii)
Thus,
∠BAC = 46° cannot be equal to ∠BAO.
Thus, the only right answers are:
Option B and
Option C.
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Full Question:
Although part of your question is missing, you might be referring to this full question: See the attached image.
help finding the area of compound shapes
Answer: what shape?
Step-by-step explanation:
More info please