The equation that represents the transformation is y = (1/4)f(x-3) + 7
Hwo to determine the equationFrom the question, we have the following parameters that can be used in our computation:
vertical compression by 1/4, horizontal shift right 3vertical shift up 7This equation applies the following transformations to the graph of y = f(x):
A vertical compression by 1/4: multiplying the output (y-value) by 1/4 scales the graph down vertically by a factor of 1/4.A horizontal shift right by 3: subtracting 3 from the input (x-value) shifts the graph right by 3 units.A vertical shift up by 7: adding 7 to the output (y-value) shifts the graph up by 7 units.Read more about transformation at
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The center field fence in a ballpark is 10 feet high and 400 feet from home plate. 400 feet from home plate. The ball is hit 3 feet above the ground. It leaves the bat at an angle of $\theta$ degrees with the horizontal at a speed of 100 miles per hour. (a) Write a set of parametric equations for the path of the ball. (b) Use a graphing utility to graph the path of the ball when $\theta=15^{\circ} .$ Is the hit a home run? (c) Use a graphing utility to graph the path of the ball when $\theta=23^{\circ} .$ Is the hit a home run? (d) Find the minimum angle at which the ball must leave the bat in order for the hit to be a home run.
he parametric equations are: \(x(t)\)= 100tcos(theta)
y(t) = \(-16t^2\) + 100tsin(theta) + 3
How to determine the parametric equations for the path of the ball, graph the ball's path for different angles, and find the minimum angle required for a home run hit in the given scenario?(a) To write the parametric equations for the path of the ball, we can use the following variables:
x(t): horizontal position of the ball at time ty(t): vertical position of the ball at time tConsidering the initial conditions, the equations can be defined as:
x(t) = 400t
y(t) = -16t^2 + 100t + 3
(b) To graph the path of the ball when θ = 15°, we substitute the value of θ into the parametric equations and plot the resulting curve. However, to determine if it's a home run, we need to check if the ball clears the 10-foot high fence. If the y-coordinate of the ball's path exceeds 10 at any point, it is a home run.
(c) Similarly, we graph the path of the ball when θ = 23° and check if it clears the 10-foot fence to determine if it's a home run.
(d) To find the minimum angle for a home run, we need to find the angle at which the ball's path reaches a maximum y-coordinate greater than 10 feet. We can solve for θ by setting the derivative of y(t) equal to zero and finding the corresponding angle.
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The Kicking Cacti and the Sprinting Stingrays met in their town's annual kickball
championship this year. They were so evenly matched that the game lasted 11 innings! The
Stingrays had 3 pitchers, and each of them pitched for the same number of innings.
How long did each of the pitchers for the Stingrays pitch?
Write your answer as a proper fraction or mixed number.
innings
Using proportions, it is found that each of the pitchers for the Stingrays pitched for \(\mathbf{\frac{11}{3} = 3\frac{2}{3}}\) innings.
This question is solved by proportions, using a rule of three.In total, the Stingrays pitched 11 innings, with 3 pitchers. Each pitcher pitched the same amount of innings, hence, 1 pitcher pitched x innings.The rule of three is:
3 pitchers - 11 innings
1 pitcher - x innings
Applying cross multiplication:
\(3x = 11\)
\(x = \frac{11}{3}\)
11 divided by 3 has result 3 with remainder 2, hence, also considering the answer as a mixed number:
Each of the pitchers for the Stingrays pitched for \(\mathbf{\frac{11}{3} = 3\frac{2}{3}}\) innings.You can learn more about proportions at https://brainly.com/question/24372153
Help please in need help help
Rewrite 4/6:1/3 as a unit rate. A: 2/1 B: 12/6 C: 2/9 D: 12/1
Answer:
2/1
Step-by-step explanation:
get the first part of each fraction to something divisible by the second part
4 · 3= 12/6
1 · 3= 3/3
12÷2= 2 3÷3= 1
2/1
Answer:
Correct answer is A 2:1
Step-by-step explanation:
When writing a unit rate the denominator is always 1
If you want to obtain a unit rate you divide both quantities by the second one.
what is a unit rate?
A unit rate means a rate for one of something. We write this as a ratio with a denominator of one. For example, if you ran 70 yards in 10 seconds, you ran on average 7 yards in 1 second. Both of the ratios, 70 yards in 10 seconds and 7 yards in 1 second, are rates, but the 7 yards in 1 second is a unit rate.
when you reject the null hypothesis that all population means are equal, why do you plot the sample means on a number line?
We plot the means on a number line to see which means are different. Plotting the sample means on a number line serves to illustrate this when the null hypothesis that all population means are equal is rejected.
This criteria, known as (alpha) in null hypothesis testing, is typically set to.05. The null hypothesis is rejected if there is less than a 5% likelihood that a result as dramatic as the sample result would occur if the null hypothesis were true. The outcome is referred to as statistically significant when this occurs.
Plotting scientific data is used to highlight correlations between variables or to visualize variance, but not all data sets need one. If there are only one or two points, it is simple to look at the numbers directly, and adding a graph adds little to nothing.
hence we plot the means on a number line to see which means are different. Plotting the sample means on a number line serves to illustrate this when the null hypothesis that all population means are equal is rejected.
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please help me smart ones
Answer:
2.05x24.6Step-by-step explanation:
Row with x:
x ⇒ 2.05xThe last row:
12 ⇒ 12*2.05 = 24.6if 5/7y=105,what is the value of y
Answer:
look at the picture i sent......
PLS HELP FAST!!!!!!!!!!!!
Which diagram shows possible angle measures of a triangle?
A triangle has angle lengths 35 degrees, 115 degrees, and 25 degrees.
A triangle has angle lengths 32 degrees, 115 degrees, and 33 degrees.
A triangle has angle lengths 35 degrees, 120 degrees, and 35 degrees.
a triangle has angle lengths 30 degrees, 120 degrees, and 20 degrees.
Answer:
A triangle has nagle 35, 120 degrees, and 35 degrees
Step-by-step explanation:
Answer:
The Triangle that has 115 32 33 or B
Step-by-step explanation:
115+32+33=180 All triangle angles measure 180.
PROOF Complete the proof.
Given BC AD, BCLDC, ADL DC
Prove ABCD is a rectangle.
A
B
D
C
In algebra, a number exists even equal to itself according to the reflexive property of equality. The equality's reflexive quality. If a is a number, then. a = a.
What is meant by Reflexive Property?In algebra, a number is always equal to itself according to the reflexive property of equality. The equality's reflexive quality. If a is a number, then. a = a.
2. AD = BC due to the congruence of a rectangle's opposite sides.
3. Due to the reflexive property of congruence, DC=DC, each segment is identical to itself.
4. ADC and BCD are right angles since any rectangle's internal angles are right angles (Definition of rectangle).
5. Since they form right angles and all right angles are congruent, ADC=BCD.
6. ADC and BCD are congruent because they have two congruent sides (AD with BC and DC with DC) and a congruent angle between them: Side Angle Postulate Side Congruence Postulate (SAS Congruence Postulate).
7. AC must match BD because Congruent Parts in Congruent Triangles must match (CPCTC).
Statement Reason
1. Rectangle ABCD Given
2. AD=BC Opposite sides of a rectangle are congruent
3. DC=DC Reflexive Property of Congruence
4. <ADC and <BCD are Definition of rectangle
right angles
5. <ADC=<BCD All right angles are congruent
6. ∆ADC=∆BCD SAS Congruence Postulate
7. AC=BD CPCTC
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what is 120 euros to dollars?
The value of euros can be converted to dollars by simply multiplying euro by 1.06 so 120 euros be 127.89 dollars.
Unit conversion is the process of converting the dimension of a given quantum between colorful units, frequently by multiplicative conversion factors that alter the value of the measured volume without altering its goods.
The sanctioned currency of 20 of the EU's 27 member countries is the euro( symbol€; law EUR)( EU). By of 2023, this group of countries — officially known as the eurozone or euro area — will have around 344 million residers. One euro is equal to one hundred cents.
The United States bone ( symbol$; law USD; frequently shortened asUS$ orU.S. Bone to separate it from other bone - nominated currencies; also known as the bone ,U.S. bone , American bone , or informally buck) is the sanctioned coin of the United States and multitudinous other nations.
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use the protractor to find the measures of the following angles
Recall the Protractor Postulate which states that:
Consider the angle AOC, notice that the numbers matched with the rays of the angle OA and OC are 0 and 50 (note that you can either of the upper or lower numbers).
Hence, the measure of angle AOC is:
\(|0-50|=|-50|=50\)The measure of angle AOC is 50⁰.
Consider the angle FOE, notice that the numbers matched with the rays of the angle OF and OE are 140 and 120.
Hence, the measure of angle FOE is:
\(|140-120|=|20|=20\)The measure of angle FOE is 20⁰.
Consider the angle COE, notice that the numbers matched with the rays of the angle OC and OE are 50 and 120.
Hence, the measure of angle COE is:
\(|50-120|=|-70|=70\)The measure of the angle COE is 70⁰.
Consider the angle EOB, notice that the numbers matched with the rays of the angle OE and OB are 50 and 120 and 30.
Hence, the measure of angle EOB is:
\(|120-30|=|90|=90\)The measure of the angle EOB is 90⁰.
Finally, consider the angle EOD, notice that the numbers matched with the rays of the angle OE and OB are 120 and 90.
Hence, the measure of angle EOD is:
\(|120-90|=|30|=30\)The measure of the angle EOD is 30⁰.
Answers:
The measure of angle AOC is 50⁰.
The measure of angle FOE is 20⁰.
The measure of the angle COE is 70⁰.
The measure of the angle EOB is 90⁰.
The measure of the angle EOD is 30⁰.
I need help with 7-9!!! Does anyone know how to help? PLEASE
Answer:
see image.
Step-by-step explanation:
For the pairs sec&csc,
tan&cot,
sin&cos
the ratios are equal IF the angles are complementary.
So like, EXAMPLE:
sin 20° = cos 70°
tan 10° = cot 80° or
sec 50° = csc 40°
^^^^these are not the answers! Just see the angles add up to 90°
So you just need to grab the angle info in the parenthesis and ADD it up and set it EQUAL TO 90°
and SOLVE for theta. See image.
E.) You're bicycle is at home and all those cheeseburgers you've been eating has made you terribly out of shape. You decide that you'll take a taxi to deliver the bad news about Loki. Assuming that a taxi costs 20 cents per tenth of a mile, how much money will you save by going to the closer superhero? Answer and show your work on the back.
Next, you’re going to research the author. Write down notes that target specific facts about Cisneros in the box below. Your notes should be helpful in understanding her biases, experiences, and knowledge. List three well-developed ideas as opposed to three simple facts in the light blue area of the box (that will be four ideas including my sample for an “A” grade). Be sure you are not copying and pasting from a website and that your words are your own. Cite your sources by putting the author’s last name or the title of the website if there is not an author. I have an example as a model.
Sandra Cisneros was born 1954 in Chicago, USA making her 49 years old, thus she was writing about the 1960-90’s. She writes all different styles of pieces most of which are for pre-teens and teens, but she also writes for adults. She has won a lot of different writing awards throughout her life (Cisnero).
Step-by-step explanation:
Solve for x.
−34(x+2)=6
Answer:
x = 37/17
Step-by-step explanation:
-34(x+2)=6
First, you want to solve the parentheses
-34x - 68 = 6
Now, you want to get x by itself
-34x - 68 = 6
+ 68 +68
-34x = 74
-- --
-34 -34
x = 37/17
Answer:
-34(x+2)=6
divide both sides by -34
x+2=6/-34
x+2=-3/17
minus 2 from both sides
x=-3/17-2
x=-3/17-34/17
x=-37/17
In Zoe's grade, there are 90 students. Currently, 90% of them are enrolled in health. How many students are enrolled in health?
Answer: 81
Step-by-step explanation:
90% is the same as 0.9
We can multiply .9 by 90 to see how many students are enrolled in health
0.9×90=81.0
Answer:
\(\huge\boxed{\sf 81\ students }\)
Step-by-step explanation:
Total students = 90
Enrolled in health:
= 90 % of 90
[Key: "of" means "to multiply" and "%" means "out of hundred"]
\(\displaystyle = \frac{90}{100} \times 90\\\\= 9 \times 9\\\\= 81\)
So, 81 students are enrolled in health.
\(\rule[225]{225}{2}\)
Which graph shows the solutions to |x − 2| = 2 ?
Answer:
I think that the answer is B.
Step-by-step explanation:
go on demos and put in the problem on the left side. and the dot should be on the number two. and in the picture you have^ . it has the same dot as demos.
Item C sold half as many times as item D. Altogether, you sold 54 of these items. How many of items C did you sell today? How many of items D did you sell?
Step-by-step explanation:
Since item C sold half of item D and what the sold altogether is 54
54/3=18
18+18= 36
item C =18
item D=36
can somebody help me please
Answer:
I think it's -2
Step-by-step explanation:
Gretta has a savings account with $6,500 in it that earns 9.5% simple interest per year. How much interest, to the nearest cent, will Gretta earn in 1 year? Give your answer in dollars.
Answer: $617.50
Step-by-step explanation:
9.5% of 6500 = 9.5*6500/100=9.5*65=617.5
So the interest is $617.5 or $617.50
Hope this helped. If you have any questions or clarifications please ask.
Thanks and please rate!
Answer:
Gretta will earn $617.50 interest
A = $7,117.50
Equation:
A = P(1 + rt)
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 9.5%/100 = 0.095 per year.
Solving our equation:
A = 6500(1 + (0.095 × 1)) = 7117.5
A = $7,117.50
The total amount accrued, principal plus interest, from simple interest on a principal of $6,500.00 at a rate of 9.5% per year for 1 years is $7,117.50.
Pleaseeeeee helpppppp!
I will mark brainliest, but pls only if you know the answer
Its Geometry A
Answer:
see explanation
Step-by-step explanation:
A base angle
B leg
C vertex angle
D leg
E base angle
F base
in any isosceles triangle there are 2 congruent legs and 2 congruent base angles.
the base angles are opposite the congruent legs
the remaining side, the base is the 3rd side of the triangle
the vertex angle is formed by the 2 congruent legs
The rates for a go-Kart course are shown.
NUMBER OF LAPS n | 1 | 2 | 3 | 4 | .
___________________________________
TOTAL COST ($) f(n) | 7 | 9 | 11 | 13 |
What is the total cost for the 15 laps?
Answer:
I am pretty late but eh
Step-by-step explanation:
1:7
2:9
3:11 and so on
proption 1:7 15:x
x=105
What does congruent mean
Answer:
If two figures have the same size and shape, then they are congruent. so if they have the same shape and size even if they are flipped or mirrored they are congruent.
Step-by-step explanation:
The term congruent is often used to describe figures like this, the pictire below. if you look up congruent shapes and look at many examples that will definitely help you understand alot more better what congruent means.
complete the following statements: 1. the organs of static equilibrium are located within two expanded chamberes within the vestibule called the
The organs of static equilibrium, also known as the maculae, are located within two expanded chambers within the vestibule called the utricle and saccule.
Utricle and saccule are filled with a gel-like substance containing tiny calcium carbonate crystals called otoliths. When the head moves, the otoliths shift and stimulate the hair cells within the maculae, which send signals to the brain regarding the body's position and movement. This allows us to maintain balance and stability, especially when standing still or moving in a straight line. Any disruptions or damage to the maculae can result in issues with balance, dizziness, and vertigo.
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what's one thing that could possibly end the whole entire world? (p.s.my most recent artwork)
Answer:
i love ur art its amazeballs and an asteroid thing
Step-by-step explanation:
I have to take your car to the shop for a weird noise the mechanic charges a flat rate of $100 for looking at your car everything in our to fix the problem write an algebra expression where p represents how much you have to pay at h is the number of hours it will take to get your car fixed
The equation of the amount of pay and the number of hours it takes to get your car fixed will be P = 50x + 100.
What is a linear equation?
A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.
You had to take your car to the shop for a weird noise. The mechanic charges a flat rate of $100 for looking at your car and $50 an hour to fix the problem.
Let P represents the amount of pay and x be the number of hours. Then the linear equation is given as,
P = 50x + 100 where p is amount
The equation of the amount of pay and the number of hours it takes to get your car fixed will be P = 50x + 100.
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In a study of cell phone usage and brain hemispheric dominance, an internet survey was e-mailed to subjects randomly selected from an online group involved with ears. There were surveys returned. Use a 0. 01 significance level to test the claim that the return rate is less than 20%. Use the p-value method and use the normal distribution as an approximation to the binomial distribution.
The statistics z is -1.878 and the p value is 0.0302
Given,
Number of random sample selected, n = 6967
Number of surveys returned, x = 1331
Estimated proportion of return rate;
p = 1331/6967 = 0.192
Significance level, ∝ = 0.01
z would represent the statistic
We investigate the assertion that the return rate is less than 20%, and the following hypotheses are tested:
Null hypothesis, p₀ ≥ 0.2
Alternative hypothesis, p₀ < 0.2
The statistics, z = (p - p₀) / √(p₀(1 - p₀)/n)
That is,
z = (0.191 - 0.2) / √(0.2(1 - 0.2)/6967) = -1.878
Using the alternative hypothesis and the following probability, we can now get the p value:
p value = p(z < - 1.878) = 0.0302
We fail to reject the null hypothesis when the p value exceeds the significance level of 0.01 and there is insufficient evidence to support the conclusion that the return rate is less than 20% at 1% of significance.
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in competitive exams are there for every correct answer and -2 marks for every incorrect answer in no marks for not attending any question class a.sara scored 24 marks .how many questions has she attempted incorrectly if she got
If Sara got 10 questions correct, the number of questions has she attempted incorrectly was 8 questions.
How to find the number of questions ?If Sara scored 24 marks and she got 10 questions correct, we can find out how many marks she scored from correct answers.
Given that each correct answer gives +4 marks:
10 questions * 4 marks/question = 40 marks
Now, if she scored a total of 24 marks, the marks deducted for incorrect answers would be:
40 marks (from correct answers) - 24 marks (total scored) = 16 marks
Since each incorrect answer results in -2 marks:
16 marks / 2 marks/question = 8 questions
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Full question is:
In a competitive exam, there are +4 marks for every correct answer and -2 marks for every incorrect answer. No marks are deducted or added for questions not attempted. Sara scored a total of 24 marks. If she got 10 questions correct, how many questions has she attempted incorrectly
for what real values of $x$ is $-4
This is a simple inequality problem involving absolute values.
The given inequality is: $-4 < |x-3|$.We need to find the range of real values of $x$ that satisfy this inequality.
First, let's consider the case when $x-3$ is positive. In this case, the absolute value of $x-3$ is simply $x-3$. So, we can write the inequality as: $-4 < x-3$
Adding $3$ to both sides, we get: $-1 < x$
This means that all values of $x$ greater than $-1$ satisfy the inequality when $x-3$ is positive.
Now, let's consider the case when $x-3$ is negative. In this case, the absolute value of $x-3$ is $-(x-3)$. So, we can write the inequality as: $-4 < -(x-3)$. Expanding the right-hand side, we get: $-4 < -x + 3$
Subtracting $3$ from both sides, we get: $-7 < -x$. Multiplying both sides by $-1$ (which reverses the inequality), we get: $x < 7$.This means that all values of $x$ less than $7$ satisfy the inequality when $x-3$ is negative. Putting both cases together, we have:$x < 7$ or $x > -1$
This is the final answer. We can express it more concisely as:
$-1 < x < 7$
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Whats volume? (In math)
In math, volume is length x width x height
Answer:
Volume is the quantity of three-dimensional space enclosed by a closed surface, for example, the space that a substance (solid, liquid, gas, or plasma) or shape occupies or contains.
Step-by-step explanation:
Which formula would be used to find the measure of angle 1? one-half(a° b°). one-half(a° "" c°). one-half(b° c°). one-half(a° "" b°).
The formula one-half(a° - b°) is derived from the fact that the exterior angle of a triangle is equal to one-half the difference between the measures of the two remote interior angles.
To find the measure of angle 1 using the formula one-half(a° - b°), we would simply plug in the known values of a° and b°, and perform the necessary arithmetic operations.
The formula that would be used to find the measure of angle 1 is one-half(a° - b°). This formula applies to a situation where angle 1 is an exterior angle of a triangle, and a° and b° are the measures of the two remote interior angles of the triangle that are adjacent to angle 1. The exterior angle of a triangle is equal to the sum of the measures of the two remote interior angles. Mathematically, this can be expressed as:
angle 1 = a° - b°.
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