Answer:
a=1, b= 7, c=0
Opens upward since a is positive(meaning it has a minimum vertex)
Y-int: (0,0)
Step-by-step explanation:
y=[tex]x^{2}[/tex]+7x
In order to find, the y-intercept, x has to be 0, so plug in 0 for x
y=[tex]0^{2}[/tex]+7(0)
y=0
So the y intercept: (0,0)
The equation form a parabola that opens up and the y intercept is at y = 0. a = 1, b = 7 and c = 0
What is a quadratic function?A quadratic function is in the form:
y = ax² + bx + c
Given that:
y = x² + 7x, hence:
a = 1, b = 7 and c = 0
The equation form a parabola that opens up and the y intercept is at y = 0.
Find out more on quadratic function at: https://brainly.com/question/1214333
Moore's law states that the maximum number of transistors that can fit on a silicon chip doubles every two years. The function f(x)= 42(1.41) to the X power model the number of transistors, in millions, that can fit on a chip, where X is the number of years since 2000. Using this model, in what year can a chip hold 1 billion transistors?
Answer:
multiply 42 m by 1.41 = 59.22
59.22 x 59.22 = 3507.0084
3507 = 3 billion
59.22 x 20 = 1 billion
Step-by-step explanation:
18.4= y-13 I have to solve for y
Answer:
y=31.4
Step-by-step explanation: Just add 18.4 to 13.
Answer:
y=31.4
Step-by-step explanation:
18.4+13
It costs Trevor $50 to have a security system installed in his house. He pays a monthly service fee plus tax of 6% of his monthly bill. After 6 months, Trevor had paid a total of $361.64 for his service fee, taxes, and his initial installation. Trevor’s monthly service fee, not including taxes, is ___.
Answer:
$49
Step-by-step explanation:
Cost of security system installation = $50
Let the monthly service cost be $x
In 6 month monthly service cost = 6*$x= $6xtax percentage = 6% of monthly service cost
hence if monthly service cost is $x
Then Tax value in terms of x is = 6% of $x = 6/100 * $x =$ 0.06x
In 6 month, Tax value in terms of x = 6 * $0.06x = $.36x_______________________________________________
Therefore total cost incurred by Trevor in 6 month including installation charges =
6 month monthly service cost + Tax value in 6 month + installation cost
Substituting value of 6 month monthly service cost , Tax value in 6 month , installation cost in above expression we have
Therefore total cost incurred by Trevor in 6 month including installation charges = $6x+ $0.36x+ $50 = $6.36x + $50
But it is given that After 6 months, Trevor had paid a total of $361.64 for his service fee, taxes, and his initial installation
Therefore total cost incurred by Trevor in 6 month including installation charges is also equal to $361.64
Hence,
$6.36x + $50 = $361.64
=> $6.36x = $361.64 - $50
=>$6.36x = $311.64
=> x = $311.64/6.36
=> x = 49.
Therefore , Trevor’s monthly service fee, not including taxes is $X which is equal to $49.
A set of art exam scores are normally distributed with a mean of 81 points and a standard deviation of 10
points. Kamil got a score of 78 points on the exam.
What proportion of exam scores are lower than Kamil's score?
You may round your answer to four decimal places.
Answer: 0.3821
Step-by-step explanation: 0.3821 of exam scores are below Kamil’s score
Answer: 0.3821
Step-by-step explanation:
Triangle ABC is a right triangle. The legs of the triangle are AB = 6 cm and BC = 12 cm. Find the measure of angle A.
Answer:
63.4°
Step-by-step explanation:
Given that AB and BC are the legs of the right triangle, then opposite to angle A is side BC and adjacent to angle A is side AB.
By definition, the tangent of angle A is:
tan(∠A) = opposite leg / adjacent leg
tan(∠A) = BC/AB
tan(∠A) = 12/6
∠A = arctan(2)
∠A = 63.4°
Which number is divisible by 3?
A 137
B 136
C 138
D 41
Answer:
C (148)
Step-by-step explanation:
All numbers divisible by 3:
The numbers equal to something divisible by 3
ex:
138=
1+3+8= 12 which is divisible by 3, so 138 is divisible by 3
Answer:
138
Step-by-step explanation:
We know that if the sum of the numbers that make up 138 is divisible by 3, then 138 is divisible by 3. Note: If you divide 138 by 3, you get 46 which is a whole number.
Express the area of the entire rectangle.
Your answer should be a polynomial in standard form.
Area =
(OK I NEED HELP AGAIN)
Answer:
[tex]\huge\boxed{A=x^2+12x+35}[/tex]
Step-by-step explanation:
The formula of an area of a rectangle:
[tex]A=lw[/tex]
l - length
w - width
We have
[tex]l=x+7\\\\w=x+5[/tex]
Substitute:
[tex]A=(x+7)(x+5)[/tex]
Use FOIL (a + b)(c + d) = ac + ad + bc + bd
[tex]A=(x)(x)+(x)(5)+(7)(x)+(7)(5)\\\\A=x^2+5x+7x+35[/tex]
combine like terms
[tex]A=x^2+(5x+7x)+35\\\\A=x^2+12x+35[/tex]
Two adjacent angles that make a straight line are called a_________
The angles that make a straight line are called linear pair of angles.
What is linear pair?A linear pair is a pair of adjacent angles formed when two lines intersect. The two angles of a linear pair are always supplementary, which means their measures add up to 180 degrees.Given are two adjacent angles.
Two adjacent angles that make a straight line are called linear pair of angles.
Therefore, the angles that make a straight line are called linear pair of angles.
To solve more questions on angles, visit the link below -
brainly.com/question/15373309
#SPJ2
Find the area of the shaded region. Round your answer to the nearest hundredth.
Answer:
86
Step-by-step explanation:
the radius of one circle is 5. the area of a circle is pi x r^2. 5 times 5 is 25. 25 times 3.14 is 78.5. since there are 4 circles, you must multiply 78.5 by 4, which is 314. Next, find the area of the square. 20 times 20 is 400. to find the area of the shaded part, subtract 314 from 400. The answer is 86.
Of the 800 particapants in a marthon, 120 are running to raise money for a cause. How many particpants out of 100 are running for a cause?
Answer:
15
Step-by-step explanation:
800/8 = 100
sooo.......
120/8 = 15
15/100
hope this helps ! :)
Today 67 students are going on a
field trip. A bus holds 50 children,
How many buses will be needed?
I know this is a little weird but the answer is 1.34 buses.
You need to divide 67 by 50.
Hope I helped and good luck!
Answer: 1.34
Step-by-step explanation:
Help ASAP please and explain tooo
Answer:
A not similar
Step-by-step explanation:
These triangles are not similar
<K would have to equal either angle E or D since angle F equals angle F
E = 50 and D = 58 and K = 49 so K does no equal E or D so they cannot be similar
What is the difference between a trapezoid and a rhombus? A) A trapezoid is a parallelogram and a rhombus is not. B) A rhombus always has 4 equal sides and a trapezoid does not. C) A rhombus always has 4 right angles and a trapezoid does not have to. D) A rhombus never has 2 sets of parallel sides and a trapezoid always does.
ASAP WILL GIVE BRAINLIEST
Answer:
b
Step-by-step explanation:
I remember doing this is school, a is wrong, c is wrong. d is wrong
Answer:
Answer:
b
Step-by-step explanation:
I remember doing this is school, a is wrong, c is wrong. d is wrong
Step-by-step explanation:
Find the 76th term of the arithmetic sequence 17, 19, 21, ...
Answer: 167
Step-by-step explanation: To find the 76th term of this arithmetic sequence, we will be using our explicit formula which is shown below.
[tex]^{a}n = ^{a}1 (n - 1)d[/tex]
Since we want to determine the 76th term, we are going
to substitute 76 in for n in our explicit formula.
Then, [tex]^{a}1[/tex] will be our first term in our sequence which is 17.
Lastly, d is our common difference or the difference between each of the terms in our arithmetic sequence which is 2.
So we have [tex]^{a} 76 = 17 + (76 - 1)(2)[/tex].
Now we have all the information we need. Just simplify from here.
Make sure to apply order of operations because this is where many
students make mistakes. Inside the parentheses first!
(76 - 1) is going to be 75.
So we have [tex]^{a} 76 = 17 + (75)(2)[/tex].
Then, we have to make sure we multiply before we add.
So (75)(2) is going to give us 150.
So we have [tex]^{a} 76 = 17 + 150[/tex].
Now just add to find that [tex]^{a} 76 = 167[/tex].
So the 76th term is 167.
Political scientists want to determine the probability of exactly 3 out of the next 5 voters they meet approving a proposal.
If the sample probability of the voters approving the proposal is 50%, the number of trials is and the number of successful trials is .
The probability that 3 out of the next 5 voters approving the proposal is
Answer:
Probability that 3 out of the next 5 voters approving the proposal is 0.3125.
Step-by-step explanation:
We are given that the sample probability of the voters approving the proposal is 50% and Political scientists want to determine the probability of exactly 3 out of the next 5 voters they meet approving a proposal.
The above situation can be represented through binomial distribution;
[tex]P(X=r) = \binom{n}{r} \times p^{r} \times (1-p)^{n-r} ; x = 0,1,2,3,.....[/tex]
where, n = number of trials (samples) taken = 5
r = number of success = exactly 3
p = probability of success which in our question is probability of
the voters approving the proposal, i.e; p = 50%
Let X = Number of voters approving the proposal
So, X ~ Binom(n = 5 , p = 0.50)
Now, Probability that 3 out of the next 5 voters approving the proposal is given by = P(X = 3)
P(X = 3) = [tex]\binom{5}{3} \times 0.50^{3} \times (1-0.50)^{5-3}[/tex]
= [tex]10 \times 0.50^{3} \times 0.50^{2}[/tex]
= 0.3125
Construct an x chart.
UCL = 12.500; LCL = 11.500
UCL = 12.017; LCL = 11.793
UCL = 12.280; LCL = 11.610
UCL = 12.375; LCL = 11.575
Answer:
or Six Sigma Quality, one can fit 6 Sigmas between UCL and LCL.
6 Sigmas can be fit between upper control limit and lower control limit.
It is a statistical process that is used to determine if the process is stable and in control or not.
Standard deviation function is the easiest way to know whether the product would be faulty or not.
Step-by-step explanation:
here is your answer let me know when you get it right and please rate me the brsainlest
Find the area and the circumference of a circle with a diameter of 17cm
Answer:
Step-by-step explanation:
d = 17 cm
r = 17/2 = 8.5 cm
Circumference of circle = πd
= 3.14 * 17
= 53.38 cm
Area of circle = πr²
= 3.14 * 8.5 * 8.5
= 226.865 cm²
Find the area. Will mark brainliest.
Answer:
a = 70
Step-by-step explanation:
a = h * b / 2
a = 10 * 14 / 2
a = 140/2
a = 70
What is an equation of the line that passes through the point (4, -3) and is
perpendicular to the line
4x +y = 3?
Answer:
y = 1/4x - 4
Step-by-step explanation:
If you put the equation in slope-intercept form y=mx+b, then you have y=-4x+3, so the slope is -4. Then take the negative reciprocal of that so you have the perpendicular slope 1/4. Plug in x, y, and, m into the equation and solve for b.
-3 = 1/4(4) + b
-3 = 1 + b
-4 = b, then rewrite the equation with the new slope and the b you found.
y = 1/4x - 4
2. The length of the side of a square is
represented by the expression 2a²b. Which
term represents the area of this square?
A. 8a3b
B. 4a3b
C. 4a4b2
D. 2a6b2
Sheila has 13 1/2 pounds of potato salad. She wants to divide the potato salad into containers, each of which holds 1 1 /4 pounds. How many containers does she need?
Answer:
This means Sheila will need at least 9 containers (you need to round up to the next container).
Step-by-step explanation:
Answer:
Sheila will need at least 9 containers
hope it right
Find the number of positive numbers less than 2020, which can be written as the sum of five consecutive positive numbers.
Integers*?
Let [tex]n[/tex] be the smallest of these five consecutive integers. Then the sum of the five consecutive integers is [tex]\frac{5(2n+4)}{2}=5n+10,[/tex] so we seek the largest positive integer [tex]n[/tex] such that [tex]5n+10<2020.[/tex] Solving this inequality, we find that [tex]n<402,[/tex] so there are [tex]\boxed{401}[/tex] such positive integers.
14 adults and 20 children attended a piano recital. If two people are selected to receive door prizes at the recital, what is the probability that both will be children? Write your answer as a fraction and a decimal rounded to the nearest hundredth.
Answer: 0.34
Step-by-step explanation:
From the question, 14 adults and 20 children attended a piano recital. This means that there are 14 + 20 = 34 people who attended the paint recital.
If two people are selected to receive door prizes at the recital, the probability of selecting the first child will be 20/34 while the second child will be 19/33. To get the probability of both being children, we have to multiply the fractions
= 20/34 × 19/33
= 380/1122
= 0.34
Melanie had 4 2/3 pounds of chopped walnuts. She used 1 1/4 pounds in a recipe. How many pounds of chopped walnuts did she have left?
Answer:
Step-by-step explanation:
To make the denominator the same on both sides you need to multiply 1/4 by three and make it 3/12 and multiply 2/3 by four to get 8/12 and then you just subtract to get 3 5/12
Answer: 3 5/12
Step-by-step explanation:
Write a quadratic function with a vertex at (-9,13).
Answer:
y = x² + 18x + 94
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (- 9, 13) and letting a = 1, then
y = (x + 9)² + 13 ← expand (x + 9)² using FOIL
= x² + 18x + 81 + 13
= x² + 18x + 94
i need your help please asap
Step-by-step explanation:
First we will calculate the total amount spent on each website so
Website A = 49.95 + 4.39 = 54.34
Website B = 47.68 + 6.95 = 54. 63
So website A is cheaper by €0.29
Find the value of x. Will mark brainliest.
Answer:
x = 8
Step-by-step explanation:
SOMEONE PLEASEEE HELP!!!
Answer:
the answeis A 6+10
Step-by-step explanation:
We have three pairs of faces, two 2×3, two 2×5, two 3×5
A = 2 ( 2×3 + 2×5 + 3×5 )
You didn't show us the choices.
Look for something like that.
Answer: 2 ( 2×3 + 2×5 + 3×5 )
I need an explanation step by step for this question. Thx
Answer:
1:5, 5, 15
Step-by-step explanation:
The original ratio of red marbles to white marbles is 6:30 and you need to know how many white marbles are expected with 3 red marbles so you have to make the # of red marbles 3 so you can divide by 2 and you'll get 15 white marble or you could've divided both sides by 6 and get the ratio of red marbles to white marbles as 1:5 and you can see that for every one red marble there is 5 white marbles.
After the dimensions of an equilateral triangle are increased by a scale factor of 2.5, the perimeter is 45 units. What were the side lengths of the original triangle?
Answer:
Original side of triangle = 6 units
Step-by-step explanation:
Given:
Perimeter = 45 units
Scale factor = 2.5 (Increase)
Find:
Original side of triangle = ?
Computation:
Original Perimeter = Perimeter / Scale factor
Original Perimeter = 45 units / 2.5
Original Perimeter = 18 units
Perimeter of an equilateral triangle = 3 (Side)
18 units = 3 (Side)
Side = 6 units
Original side of triangle = 6 units
