Answer:
2a+11b
Step-by-step explanation:
Need like terms!
3a-a
=2a
7b+4b
=11b
You have 4 hours, and 50 questions. If you have the same amount of time per question, how long will 1 question take?
Which statements are true about the graph of the function f(x) = x2 – 8x + 5? Select three options.
The function in vertex form is f(x) = (x – 4)2 – 11.
The vertex of the function is (–8, 5).
The axis of symmetry is x = 5.
The y-intercept of the function is (0, 5).
The function crosses the x-axis twice.
The equation is f(x) = x² – 8x + 5. Then the y-intercept is at (0, 5) and the function crosses the x-axis twice. Then the correct options are A, D, and E.
What is the equation of the parabola?Let the point (h, k) be the vertex of the parabola and a be the leading coefficient.
Then the equation of the parabola will be given as,
y = a(x - h)² + k
The quadratic equation is given below.
f(x) = x² – 8x + 5
Convert the equation into vertex form, then the equation will be
f(x) = x² – 8x + 5
f(x) = x² – 8x + 16 – 16 + 5
f(x) = (x – 4)² – 16 + 5
f(x) = (x – 4)² – 11
The graph of the function is given below.
From the graph, the y-intercept is at (0, 5) and the function crosses the x-axis twice.
Then the correct options are A, D, and E.
More about the equation of parabola link is given below.
https://brainly.com/question/20333425
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Expand and simplify: (2x + 5y) (3x − 2y)
Answer:
Expand:5x+3y
Simplify:6x^2+11xy-10y^2
Step-by-step explanation:
2x(3x-2y)+5y(3x-2y)
6x^2-4xy+15xy-10y^2
6x^2+11xy-10y^2
1. A fast food outlet claims that the mean waiting time in line is less than 3.8 minutes. A random sample of 60 customers has a mean of 3.7 minutes with a population standard deviation of 0.6 minute. If α = 0.01, test the fast food outlet's claim.
Answer:
There is no significant evidence to conclude that the mean waiting time is less than 3.8 minutes
Step-by-step explanation:
H0 : μ = 3.8
H1 : μ < 3.8
Test statistic :
(x - μ) ÷ s/sqrt(n)
(3.7 - 3.8) ÷ 0.6/sqrt(60)
Test statistic = - 1.29
The Pvalue from test statistic :
P(z < -1.29) = 0.0985
Reject Null if
Pvalue < α
0.0986 > 0.01 ; Hence, we fail to reject the null ;
There is no significant evidence to conclude that the mean waiting time is less than 3.8 minutes
SYTEM OF INEQUALITIES , 65 points.
HELP
Answer:
[tex]2x+3y\geq 60\\x>10[/tex]
Step-by-step explanation:
We know that she will be selling bracelets for $2 each and earrings for $3 each. That means we will have 2x+3y, where x is the number of bracelets she sells and y is the number of earrings she sells. Then we will have [tex]\geq 60[/tex] because she wants to sell at least $60 worth of earrings and bracelets. That means the amount she makes from bracelets and earrings combined has to equal 60 or more, thus we use the greater than or equal to sign.
Now we have [tex]x>10[/tex], where x is still the number of bracelets sold. She said she will sell more than 10, which means we will just have [tex]>10[/tex]. If she said she wanted to sell at least 10, then it would be [tex]\geq10[/tex].
Therefore the system of inequalities is:
[tex]2x+3y\geq60\\x>10[/tex]
Hope this helps!
Use a periodic table to calculate the applicable molar mass. Density of water is 1kg/1L.
A solution was made with 300 grams of (C3H5OH) and 500 grams of water.
What is the molarity of this solution?
Question 2 options:
0.19
0.81
10.33M
19 M
Answer:
What is the molarity of this solution is 0.81
Step-by-step explanation:
Answer option B) 0.81.
A fair coin is tossed 14 times. What is the probability of obtaining exactly 1 head? (Enter your answer as a reduced fraction or a decimal rounded to 4 places.)
Answer:
0.0009 probability of obtaining exactly 1 head
Step-by-step explanation:
For each toss, there are only two possible outcomes. Either it is a head, or it is not. The probability of a toss being a head is independent of any other toss. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
A fair coin is tossed 14 times.
Fair coin means that it is equally as likely to be heads or tails, so [tex]p = 0.5[/tex]
14 times means that [tex]n = 14[/tex]
What is the probability of obtaining exactly 1 head?
This is P(X = 1).
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 1) = C_{14,1}.(0.5)^{1}.(0.5)^{13} = 0.0009[/tex]
0.0009 probability of obtaining exactly 1 head
What is the value of the expression 10-(1/2)^4•48
Answer:
If so, order of operation is coming into play
PEMDAS
P is the parenthesis and E is the exponent..... looks we got a 2 for 1 special solve.
(1/2)4
First
The exponent is 4 which means write
1/2
4 times
1 × 1 × 1 × 1 = 1
2 × 2 × 2 × 2 = 16
So our fraction is 1/16
10 - 1/16 - 48
now we have M D which is multiplication and division what is
1/16 - 48
now we just have 10 - 3
We don't have A ( addition ) so skip it
We do have S ( subtraction )
10 - 3 = 7.
Sabendo que 12 é raíz de p(x)=x²–mx+6 determine o valor de m A)25 B)2 C)14 D)12,5 E)7,5
Answer:
b
Step-by-step explanation:
what is the equation that represents the line
Answer:
The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept.
Step-by-step explanation:
$200 at 9% compounded semiannually for 2 years
Answer:
Your answer is on the picture
Step-by-step explanation:
I need this Asap
the question below
Answer:
[tex]5x^{4}[/tex]
Step-by-step explanation:
lmk if you need an explanation :)
HELP!! Does this graph show a function?
Answer: B) Yes, the graph passes the vertical line test.
========================================================
Explanation:
Ask yourself if it is possible to draw a single straight vertical line through more than one point on the red parabola. Since such as task is not possible in this case, we consider this curve to be "passing the vertical line test". It means that any x value input leads to exactly one and only one y value output.
Triangle KLM is similar to Triangle PQR
1. You start a biology experiment with 4,500 cells. The cells are continuously growing and 2 minutes later
there are about 22583 cells. What is the rate of growth per minute?
Answer:
80.65% per minute
Step-by-step explanation:
For continous growth :
A = Pe^rt
A = amount after time, t
P = initial amount
r = growth rate
22583 = 4500 * e^r*2
22583 = 4500 * e^2r
22583 / 4500 = e^2r
5.0184444 = e^2r
Take the In of both sides
1.61312 = 2r
r = 1.61312 ÷ 2
r = 0.80656
0.80656 * 100% = 80.65%
There is a question here it is a pic
Answer:
The area would be 81.
Step-by-step explanation:
To find this answer, I multiplied 9 by 9 cm , which gave me 81, which would represent the correct area of the figure.
Answer:
81
Step-by-step explanation:
In order to find the area, multiply
A = l × w
this is the question
Answer: 127.795 in^2
Step-by-step explanation:
The area of any triangle is [tex]\frac{1}{2} \cdot \text{base} \cdot \text{height}[/tex][tex]\frac{1}{2} \cdot \text{base} \cdot \text{height}[/tex]
The surface of this pyramid is composed of three slanted triangles and the base.
Area of slanted sides (3 of them):
The base of each is 6.1 -- the sides of the bottom triangle all have the same length. The height of a slanted side is 12.2 .
Area of one slanted side is .5(6.1)(12.2) = 37.21
There are 3 identical sides, so the area of all 3 is 3 x 37.21 = 111.63 .
Area of the pyramid's base:
The base of that triangle is 6.1, and its height is 5.3, so its area is
.5(6.1)(5.3) = 16.165
The total area of all four faces is 111.63 + 16.165 = 127.795
Guided Practice
Solve the compound inequality.
3 ≤ w + 2 ≤ 7
A.
5 ≤ w ≤ 9
B.
1 ≤ w ≤ 7
C.
1 ≤ w ≤ 5
Answer:
C.
1 ≤ w ≤ 5
Step-by-step explanation:
Move all terms not containing
w
from the center section of the inequality.
Inequality Form:
1 ≤ w ≤ 5
Interval Notation:
[ 1 , 5 ]
A graph is shown with x- and y-axes labeled from 0 to 6 at increments of 1. A straight line labeled A joins the ordered pair 2, 6 with the ordered pair 5, 0. Another straight line labeled B joins the ordered pair 0, 2 with the ordered pair 6, 6.
Part A: How many solutions does the pair of equations for lines A and B have? Explain your answer. (5 points)
Part B: What is the solution to the equations of lines A and B? Explain your answer. (5 points)
Answer:
A. one B. (3, 4)
Step-by-step explanation:
1. A good graph can answer both parts (see attached image).
2. Write equations for the two lines and find a simultaneous solution.
Line A: Slope from (2, 6) to (5, 0) is [tex]m=\frac{6-0}{2-5}=\frac{6}{-3}=-2[/tex]
Using point-slope form [tex]y-y_1=m(x-x_1)[/tex]
[tex]y-6=-2(x-2)\\y-6=-2x+4\\y=-2x+10[/tex]
Line B: Slopt from (6, 6) to (0, 2) is [tex]m=\frac{6-2}{6-0}=\frac{2}{3}[/tex]
Using point-slope form, the equation for Line B is
[tex]y-2=\frac{2}{3}(x-0)\\y=\frac{2}{3}x+2[/tex]
To find the simultaneous solution, set the y's equal.
[tex]-2x+10=\frac{2}{3}x+2\\-6x+30=2x+6\\-8x=-24\\x=3[/tex]
Find y using either equation to get y = 4.
A number cube with the numbers 1 through 6 is rolled. Find the given probability
[tex]\huge\red{\mid{\underline{\overline{\textbf{ANSWER}}}\mid}}[/tex]
[tex]D)\frac{5}{6}\;is \: your \: answer[/tex]
Answer:
5/6
Step-by-step explanation:
I had this question and it was correct.
Item 6
Question 1
The box-and-whisker plot represents the numbers of gallons of water needed to fill different types of dunk tanks offered by a company.
a. What fraction of the dunk tanks require at least 500 gallons of water? Write the fraction in simplest form.
About ___
of the dunk tanks require at least 500 gallons of water.
Answer:
a) 1/2
about 50%
Step-by-step explanation:
ILL BRAINLIEST YOU IF YOU GET IT RIGHT
Which diagram shows a pair of angle measure that proves lines c and d are parallel?
Answer:
C
Step-by-step explanation:
At first glance, it seems like all the answers work. But some careful thinking allows us to find the correct answer.
For this question, we will be using the process of elimination.
First, we can eliminate D, because it does not provide any angles on line d, so we cannot prove that line c is parallel to line d.
Second, we can eliminate A. It seems that the 2 angles makes it so that lines c and d must be parallel, however, that is only true if lines a and b are parallel. Since we don't know whether or not lines a and b are parallel, we cannot prove that lines c and d are parallel, so we can eliminate this choice.
Third, we can eliminate B. Like the diagram in A, this diagram can only prove lines c and d are parallel if lines a and b are parallel, and since we don't know whether or not lines a and b are parallel, we cannot prove tat lines c and d are parallel, so we can eliminate this choice.
We are left with C, so the answer must be C.
Of course, just to make sure, we will also check diagram C. Because the 2 angles provided in the diagram are on line a and none are on line b, we do not need line a to be related to line b in any way, as such we can pretend that line b does not exist in this diagram. We can then see that lines c and d must be parallel for this diagram, or else the angles would not work, so C is correct.
Two angles whose sum is 180° are called supplementary angles. The correct option is C.
What are supplementary angles?Two angles whose sum is 180° are called supplementary angles. If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line. Those two-two angles are two pairs of supplementary angles. That means, that if supplementary angles are aligned adjacent to each other, their exterior sides will make a straight line.
When two parallel lines are cut by a transverse. The angles formed on the exterior of the parallel lines are known as the Exterior Angle.
Now, For two lines two be parallel in the given diagram the measure of the angle the exterior angle on the same side of the transverse should be supplementary to each other.
The diagram shows a pair of angle measure that proves lines c and d are parallel in option c. This is because lines c and d are parallel and a is transversal to the two lines. And the measure of the exterior angles formed on the same side of the transversal is supplementary.
Hence, the correct option is C.
Learn more about Supplementary angle here:
https://brainly.com/question/2882938
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A car accelerates from a resting position to 100 mi/hr in 7 seconds. What is the acceleration?
Elena can make 15 pizzas in 3 hours. If the number of pizzas is represented by p and time is represented by t, Write an equation that shows the total number of pizzas made in terms of time.
p = 5t
3t = 15p
p/t = 15
p = 1/5t
Answer:
p = 5t
Step-by-step explanation:
We'll check by plugging in t = 3 and p has to equal 15
p = 5t ✅
p = 5(3)
p = 15
3t = 15p ❌
3(3) = 15p
9 = 15p
p = 15/9 = 5/3
p/t = 15 ❌
p/3 = 15
p = 45
p = 1/5t ❌
p = 1/5(3)
p = 3/5
Hi I’m inno,help me with my maths question here :D
Answer:
1. 3 1/5
2. 1/4 1/5 1/6 1/7 1/8
3. (a) 32/49 (b) 7/16
4. 11/16
5.(i) 20/35 (ii) 16/28
6. 3/4 is bigger than 2/5 because if you convert then 3/4=15/20 and 2/5=8/20
hope this helps
have a good day :)
Step-by-step explanation:
Please help me with this homework
Answer:
15 ft
a^2+b^2=c^2
Show whether each value in the set {2,3,4} is a solution of the equation x + 2 = 6.
PLEASE HURRY. THIS IS DUE IN 7 MINUTES
Answer:
4
Step-by-step explanation:
Plug in each given value into the expression to see if it is true.
Set given: {2 , 3 , 4}
Equation given: x + 2 = 6
First, plug in 2 for x. When x = 2:
x + 2 = 6
(2) + 2 = 6
4 ≠ 6.
Next, plug in 3 for x. When x = 3:
x + 2 = 6
(3) + 2 =6
5 ≠ 6.
Finally, plug in 4 for x. When x = 4:
x + 2 = 6
(4) + 2 = 6
6 = 6 (True).
In the given set, only 4 complete the equation.
~
In the equation: (16)^3=2^3/2x how could you solve for x?
Answer:
x = 8
Step-by-step explanation:
16 is the same as 2^4
(2^4)³ = 2^3/2x
2^12 = 2^3/2x
as long as bases are both the same then set exponents equal
12 = [tex]\frac{3}{2}[/tex]x
3x = 24
x = 8
en un aparcamiento hay 55 vehiculos entre coches y motos. Si el total de ruedas es de 170. ¿Cuantos coches y cuantas motos hay?
Answer:
Spanish?
Step-by-step explanation:
I speak english
Please help I am stuck. This is due in one hour so please help.
Answer:
d
Step-by-step explanation:
d is correct 180-43=137
Answer:
D) m<4 = 137
Step-by-step explanation:
m<3 + 56 = 180
m<3 = 124
m<1 + 43 + 56 = 180
m<1 + 99 = 180
m<1 = 81
m<4 + 43 = 180
m<4 = 137
m<2 + <1 = 180
m<2 + 81 = 180
m<2 = 99