Answer:
\(y = \frac{5}{2} x^{2}\)
Step-by-step explanation:
When you scale a parabola vertically, you multiply the \(x^{2}\) by what you are scaling it vertically by.
For example, say you have \(y = 8x^{2}\). That means that \(y = x^{2}\) was scaled vertically by a factor of 8.
I hope this helps!
In slope-intercept form, what is the equation of the line passing through the points (2,13)and (5,22)
Answer:
y = 3x + 7
Step-by-step explanation:
As we move from (2, 13) to (5, 22), x (the "run") increases by 3 and y (the "rise") increases by 9. Thus, the slope, m, must be m = rise / run = 9/3, or 3.
Then we have y = 3x + b and must find b. Subbing 2 for x and 13 for y, we get
13 = 3(2) + b, so that b must be 7.
The desired equation is y = 3x + 7.
abc is a right triangle with ab=ac. bisector of <a meets bc at d. prove that bc = 2ad.
Answer:
Let ac=ab=5
With this, bc= 5√2
Step-by-step explanation:
So to find ad, Let ad be x
5√2=(2)(x)
(5√2/2)= x
This proves that bc=2ad
Chloe had 200 beads.• She used 15 beads to make a Barrett.• She used all the remaining beads to make 5 bracelets.• She used the same number of beads to make each bracelet.Write an equation that can be used to find B, the number of beads Chloe used to make each bracelet?
Let B be the number of beads used to make each bracelet. Then the number of beads used to make 5 bracelets is 5B.
Number of beads to make a Barrett = 15
The sum of number of beads used to make 5 bracelets and Barett gives the total number of beads. So,
\(5B+15=200\)here's the question for is you can't see.
what is the vertex of the equation below?
y=2(x-3)>2+4
1. (2,4)
2. (-3,4)
3. (-2,4)
4. (3,4)
From \(y=a(x-h)^2+k\)
The vertex is at (h, k)
Therefore, from \(y=2(x-3)^2+4\)
The vertex is at (3,4).
Thus, the answer is 4. (3,4)
Please help me out with this no links and not stealing points
Answer: The sum of the number of angles in a polygon is (n-2) * 180, where n is the number of sides, so the sum of the angles of a 17-sided polygon is (17-2) * 180 = 2700.
Step-by-step explanation:
Which of the following is an arithmetic sequence?
0, 2, 4, 6, ...
1, 2, 4, 8, ...
1, 4, 8, 13, ...
Answer:
A
Step-by-step explanation:
an arithmetic sequence is a sequence that is increasing or decreasing by a constant number (addition)
In a classic Conan Doyle story. Sherlock Holmes solves a crime mystery by recognizing that a guard dog didn't bark. Therefore. the dog must have known the perpetrator. Holmes' reasoning goes like this: if the guard dog doesn't know a person. then it barks. The dog didn't bark. Therefore, it knew the person. Which rule of inference is being used here?
Addition. Addition
Simplification. Simplification
Conjunction. Conjunction
Modus Ponens. Modus Ponens
Hypothetical Syllogism. Hypothetical Syllogism
Disjunctive Syllogism. Disjunctive Syllogism
Modus Tollens. Modus Tollens
Resolution. Resolution
The rule of inference being used here is Modus Tollens. Modus Tollens is a valid deductive argument form that states if a conditional statement "If P, then Q" is true and the consequent Q is false, then the antecedent P must also be false.
In the given scenario, the conditional statement is "If the guard dog doesn't know a person, then it barks."
The observation that the dog didn't bark (Q is false) leads to the conclusion that the dog must have known the person (the antecedent P is false).
To know more about observation visit-
brainly.com/question/21053033
#SPJ11
if the saving rate is 1 (i.e., s = 1), we know that
If the saving rate is 1, it means that an individual or an economy saves their entire income and spends nothing. This implies that the consumption rate is 0, and all income is being saved.
In this scenario, the investment rate is equal to the saving rate, as there is no consumption spending. Therefore, the economy is investing all of its income in capital goods and not in consumption goods. This approach may result in high economic growth in the future due to the increased production capacity of the economy. However, in the short term, it may lead to a decrease in consumer demand and a decrease in output and employment in sectors producing consumer goods.
To learn more about investment : brainly.com/question/15105766
#SPJ11
in how many ways can 8 hearts be chosen if 11 cards are chosen from a well-shuffled deck of 52 playing cards?
Using combinations we know that there are (D) 6,534,385 different ways to choose nine hearts.
What are combinations?A combination in mathematics is a choice made from a group of separate elements where the order of the selection is irrelevant.The sequence of the results is irrelevant when calculating the overall outcomes of an event using combinations. We will use the formula nCr = n! / r! * (n - r)! to calculate combinations, where n denotes the total number of items and r denotes the number of things being chosen at a time.So, we know that:
12 cards must be picked in total.
Nine hearts must be picked.
Three non-hearts must be chosen in total.
There are 52 cards in all.
The total number of hearts: is 13.
Total number of non-hearts = 39
The image below can be used to determine how many ways there are to choose hearts.
A number of ways to choose hearts minus the number of ways to choose non-hearts:
N = 13C9 × 39C3
N = 13!/(9! ×4!) × 39!/(36! × 3!)
N = 6,534,385
Therefore, using combinations we know that there are (D) 6,534,385 different ways to choose nine hearts.
Know more about combinations here:
https://brainly.com/question/26852614
#SPJ4
Complete question:
In how many ways can 9 hearts be chosen if 12 cards are chosen from a well-shuffled deck of 52 playing cards? a) 715 b) 220 c) 108 d) 6,534,385 e) 117 f) None of the above.
WILL GIVE BRAINLIEST IMMEDIATELY!!! EXPLANATION+CORRECT ANSWER FOR BRAINLIEST!!!
Consider the diagram below where mSelect all of the statements that are true.
Statements and the diagram are shown in the photos.
IF YOU PUT A RANDOM ANSWER OR A LINK I WILL REPORT YOU AND EMAIL BRAINLY.
Answer:
Angle EDF= 53
Step-by-step explanation:
Supplementary angle: Angle EDC and angle EDF
which means angle EDC+ Angle EDF=180
Angle EDC show in the graph 127 degree
Angle EDG= 180-127=53Degree
Find the values of k for which y = kx + 1 is a tangent to the curve y = 2x^2 + x +3
You can
Figure A to map it onto Figure Din a single transformation."
1.answers
2.rotate
3.reflect
4.translate
5.dilate
Answer: a
Step-by-step explanation:
What is the momentum of a 2000-kg car traveling at 20 m/s?
a. O kg m'sec
b. 0.001 kg'm'sec
c. 100 kg m sec
d. 40,000 kg m sec
Answer:
D
Step-by-step explanation:
force = mass × acceleration
Answer: D
Step-by-step explanation:
FILL IN THE BLANK. Two events are said to be ________ if they can not occur at the same time.Two events are said to be _______ if the occurrence of one does not influence the probability of occurrence for the other.
Complete statement : Two events are said to be mutually exclusive if they can not occur at the same time. Two events are said to be Independent if the occurrence of one does not influence the probability of occurrence for the other.
What are Independent events?
Independent events are events for which the occurrence (or non-occurrence) of one event does not affect the probability of the other event occurring.
Two events are said to be mutually exclusive (or disjoint) if they cannot occur at the same time. In other words, if one event occurs, the other event cannot occur simultaneously.
For example, if we toss a coin, the events "getting a heads" and "getting a tails" are mutually exclusive. If we get a heads, we cannot get a tails at the same time.
Two events are said to be independent if the occurrence of one event does not influence the probability of occurrence of the other event. In other words, the probability of both events occurring together is equal to the product of their individual probabilities.
For example, if we roll a dice twice, the events "getting a 2 on the first roll" and "getting a 4 on the second roll" are independent. The probability of getting a 2 on the first roll is 1/6, and the probability of getting a 4 on the second roll is also 1/6. The probability of getting a 2 on the first roll and a 4 on the second roll is (1/6) x (1/6) = 1/36.
To learn more about Independent events, visit the link:
https://brainly.com/question/27665211
#SPJ4
what’s the slope?
50 points!! Please help
Answer:
6
Step-by-step explanation:
slope is rise/run
to get from -1 to 5 is 6 points
y axis to 1 is 1 point
6/1=6
3. 6x + 7y =7 4. 2x - y = -3
For the first graph
A = (-5, 2)
B = (5, -4)
To calculate the slope we will use the following formula
\(\begin{gathered} m=\frac{-4-2}{5-(-5)} \\ m=\frac{-6}{10} \\ m=\frac{-3}{5} \end{gathered}\)The answer would be m = -3/5
For the second graph
A = (-1, -1)
B = (3, 0)
To calculate the slope we will use the following formula
\(\begin{gathered} m=\frac{0-(-1)}{3-(-1)} \\ m=\frac{1}{4} \\ \end{gathered}\)The answer would be m = 1/4
For the third graph
In the third graph, we have a vertical slope at point x = 2
In this case the slope would be equal to infinity and the equation of the line would be equal to x = 2
\(m=\infty\)
What is the largest whole number I could be if 9 + I is larger than 28?
Answer:
20 and greater than 20
If you add 9 and 20, you get 29, which is one greater than 28.__________________________________________________________
Questions?Ask me in the comments box.
please help!!!
Find an equation for this graph.
Write the inequality statement that shows the relationship between all of the following shoe sizes: 7 ½ , 12, 10
Answer:
7.5 < 10 <1 2
Step-by-step explanation:
The order of this shows them from least to greatest using the inequality symbols.
The area of a square garden is 81 ft^2 so what is the length of each side
Answer: 9ft
Step-by-step explanation: 9•9 is 81
1. Eighty five markers were distributed evenly to a class of 23 children. The teacher kept the extras. How many did she keep
2. Shonta bought three parakeets for $8 each and a bird cage for $12. How much did she spend alltogether
1.the teacher kept 16 markers
2. shonta spent$36 in total
Step-by-step explanation:
1. 85 markers ÷ 23 children =3,696 round to 3
23 children × 3 markers each =69 markers
85 markers -69 markers =16 markers
2. $8×3 parakeets= $24 on the parakeets , adding in the $12 spent on the cage gives a total spent of: $24 parakeets+ $12 for bird cage= $36 spent
smo help me fill in the charts, will give brainliest
Answer:
In the explanation
Hope this helps!
Step-by-step explanation:
a.
1. LCM of 2 & 5 is 10
2. \(\frac{15x}{10} =\frac{12}{10}\) -> 15x = 12
3. x = \(\frac{12}{15}\) or \(\frac{4}{5}\)
b.
1. LCM of 3 & 9 is 9
2. 2x - \(\frac{6}{9}\) = \(\frac{4}{9}\) -> 2x = \(\frac{10}{9}\) -> \(\frac{18}{9} x\) = \(\frac{10}{9}\) -> x = \(\frac{10}{9}\) × \(\frac{9}{18}\) -> x = \(\frac{10}{18}\) -> x = \(\frac{5}{9}\)
3. x = \(\frac{5}{9}\)
cal d gradient B(4,-7), c(-6-5) and d two point find d gradient
Answer:
d = - 1/5
Step-by-step explanation:
slope form: m= y2-y1/x2-x1
m= -5-(-7)/-6-4
m= 2/-10
m= - 1/5
Quantitative or qualitative
help pls I need this ASAP
Answer:
1. Quantitative data
2. Quantitative data
3. Qualitative data
4. Qualitative data
5. Quantitative data
6. Qualitative data
7. Quantitative data
8. Qualitative data
9. Quantitative data
10. Quantitative data
Step-by-step explanation:
Qualitative data usually answers the question "what kind". Quantitative data answers the question "how many" (or "how much" ).
Answer:
quantitative or qualitative
Which equation is a point slope form equation for line AB? Responses y−2=−2(x+2) y−2=−2(x+6) y−2=2(x+2)
The equation in point slope form will be -
y - 2 = 2(x - 3).
What is the general equation of a Straight line?
The general equation of a straight line is -
y = mx + c[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.Other possible equations of lines are -
(y - y₁) = m(x - x₁) {Point - slope form}(y - y₁) = (y₂ - y₁) × (x - x₁)/(x₂ - x₁) {Two point - slope form}x/a + y/b = 1 {intercept form}x cos(β) + y sin(β) = L {Normal form}We have some equations of line as given in the question.
The point slope form is -
(y - y₁) = m(x - x₁)
The points are -
(3, 2) and (5, 6)
So -
m = (6 - 2)/(5 - 3)
m = 4/2
m = 2
Equation will be -
y - 2 = 2(x - 3)
Therefore, the equation in point slope form will be -
y - 2 = 2(x - 3)
To solve more questions on straight lines, visit the link below-
brainly.com/question/20400984
#SPJ1
Help me please quickly
Answer:
x ≥ 1
Step-by-step explanation:
→ As it is a shaded circle you know it ≤ or ≥
x ≥ 1
A random sample of size 36 is taken from a normal population with a mean of 50 and a standard deviation of 5. What is the sample standard deviation?
The sample standard deviation is approximately 0.83.
Sample size \(($n$)\) = 36
Population mean \(($\mu$)\) = 50
Population standard deviation \(($\sigma$)\) = 5
The sample standard deviation, denoted as \($s$\) can be estimated using the formula:
\(\[ s = \sqrt{\frac{\sum_{i=1}^{n}(x_i - \bar{x})^2}{n-1}} \]\)
where:
\($x_i$\) represents the individual data points in the sample
\($\bar{x}$\) is the sample mean
In this case, since we don't have individual data points, we can use the population standard deviation as an estimate for the sample standard deviation when the sample size is relatively large (as in this case \($n = 36$\)). This approximation is known as the standard error of the mean.
Therefore, the sample standard deviation can be approximated as:
\(\[ s \approx \frac{\sigma}{\sqrt{n}} \]\)
Substituting the given values:
\(\[ s \approx \frac{5}{\sqrt{36}} = \frac{5}{6} \] = 0.83\)
Hence, the sample standard deviation is approximately 0.83.
Learn more about sample standard deviation: https://brainly.com/question/18567452
#SPJ11
Convert the rectangle coordinates to polar coordinates where r > 0
and 0 ≤ 2 . and Convert the polar coordinates to rectangular coordinates.
please list steps on how to solve so I can solve these in the future
Answer:
(1) - C, \((3,\frac{\pi}{6})\)
(2) - B, \((0,-2)\)
Step-by-step explanation:
\(\text{Using the following conversions:}\\\boxed{\left\begin{array}{ccc}\text{\underline{Rect. to Polar:}}\\(x,y)\rightarrow(r, \theta)\\\\r=\sqrt{x^2+y^2}\\\\\theta=\tan^{-1}(\frac{y}{x})\end{array}\right} \ \ \boxed{\left\begin{array}{ccc}\text{\underline{Polar to Rect.:}}\\(r, \theta)\rightarrow(x,y)\\\\x=r\cos \theta\\\\y=r \sin\theta\end{array}\right}\)
Note that when doing these calculations, make sure your calculator is in radians mode.
Question #2:
Given:
\((\frac{3\sqrt{3} }{2} ,\frac{3}{2} ) \ \text{in} \ (x,y)\)
\((\frac{3\sqrt{3} }{2} ,\frac{3}{2} )\\\\\Rightarrow r=\sqrt{(\frac{2\sqrt{2} }{2})^2+(\frac{3}{2})^2} \\\\\Longrightarrow r=\sqrt{\frac{27}{4} +\frac{9}{4} } \\\\\Longrightarrow r=\sqrt{9}\\\\\therefore \boxed{ r=3}\\\\\Rightarrow \theta=\tan^{-1}(\frac{\frac{3}{2}}{\frac{3\sqrt{3} }{2}})\\\\\Longrightarrow \theta=\tan^{-1}(\frac{\sqrt{3} }{3})\\\therefore \boxed{\theta=\frac{\pi}{6} }\)
Thus, the correct option is C.
\(\boxed{\boxed{(3,\frac{\pi}{6})}}\)
Question #3:
Given:
\((2,\frac{3\pi}{2} ) \ \text{in} \ (r,\theta)\)
\((2,\frac{3\pi}{2} ) \\\\\Rightarrow x=(2)\cos(\frac{3\pi}{2})\\\\\Longrightarrow x=(2)(0)\\\\\therefore \boxed{x=0}\\\\\Rightarrow y=(2)\sin(\frac{3\pi}{2})\\\\Longrightarrow y=(2)(-1)\\\\\therefore \boxed{y=-2}\)
Thus, the correct option is B.
\(\boxed{\boxed{(0,-2)}}\)
Remember 1/2 is a fraction
Simplify the expression 1/2(10p - 6)+ 3 (p + 5) - 1
Answer:
8p + 11
Step-by-step explanation:
(1/2)(10p - 6) + 3(p+5) -1
(5p - 3) +3p +15 -1
8p + 11
I need help, please