Answer:
The (x,y) point of the vertex is usually labelled as:
Vertex = (h, k)
h = -b / 2a
k = ah^2 + bh + c
f(x) = -3x^2 + 12x -5
a = -3 b=12 c=-5
h = -12 / -6 therefore h = 2
k = -3*2^2 + 12*2 -5
k = -12 + 24 -5 therefore k = 7
Vertex (2, 7)
Source: http://www.1728.org/quadr3.htm
Step-by-step explanation:
Two parallel lines are cut by a transversal. What is the measure of <8?
t
12
3/4 (100°)
р
5/6
78
A. 90
B. 80°
C. 100°
D. 180°
Answer:
C. 100°
Step-by-step explanation:
Line n || Line p and line t is their transversal.
Therefore,
[tex]m \angle 8 = 100 \degree \\ (corresponding \: \angle s)[/tex]
The measure of the angle ∠8 will be 100°. Then the correct option is C.
What is an angle?The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.
Two parallel lines are cut by a transversal.
Alternate angle - If two lines are parallel then the third line will make z -angle and z-angles are equal angles with the parallel lines.
The angle 4 and angle 5 are alternate angles.
∠5 = ∠4
∠5 = 100°
Vertically opposite angle - When two lines intersect, then their opposite angles are equal.
The angle 8 and angle 5 are vertically opposite angles.
∠8 = ∠5
∠8 = 100°
Thus, the measure of the angle ∠8 will be 100°.
Then the correct option is C.
More about the angled link is given below.
https://brainly.com/question/15767203
#SPJ5
Jada makes sparkling juice by mixing 2 cups of sparkling water with every 3 cups of apple juice.
How much sparkling water does Jada need if she uses 15 cups of apple juice?
HURRY
Answer:
9
Explanation:
Hope it helps.. I got it right
Answer:
You multiply the 2 by 3 to get the 6 cups of sparkling water, so you then multiply the 3 cups of apple juice by 3 to keep the ratio the same. 3 · 3 = 9. Jada uses 9 cups of apple juice.
Step-by-step explanation:
Will Give Brainleist! Plz help me on this problem
Which equation represents a line with slope 3/5 of and y-intercept of -1 ?
Answer:
y = 3/5x - 1
i think that's what's supposed to be there...
a gift box in the shape of a rectangular prism measures 8in by 8in by 10in. what is the least amount of wrapping paper needed to wrap the gift box?
Answer:
Step-by-step explanation:
The surface area of a rectangular prism is
A=2(xy+xz+yz), where x,y,z are the dimensions, in this case
A=2(8(8)+8(10)+8(10))
A=2(64+80+80)
A=2(224)
A=448in^2
So the minimum amount of wrapping paper is 448in^2
find the variable h+ 1/2 = 3 1/4
Answer:
h=2 3/4
Step-by-step explanation:
2 3/4+1/2=
you can convert 1/2 into 2/4 so they have like denominators
2 3/4+2/4= 2 5/4 which is also equal to 3 1/4
Lucy has $60,000 in a savings account that earns simple interest of 14% per year. How much will she have in her account after 5 years?
Answer:
$42,000
Step-by-step explanation:
60,000 × .14 × 5 = 42,000
The part of an expression that is being added or subtracted
The terms of a mathematical expression are parts of the expression that are connected with addition or subtraction. The factors in a mathematical expression are parts of the expression that are connected with multiplication.
I don't know what you meant but I hope this helps.
a bag has 7 red scraps, 3 orange scraps, and 5 speckled scraps. you randomly pull a scrap from the bag, keep it out, and then pull out another one.
what is the probability of getting a speckled and then not getting a orange? write answer as a fraction.
Answer:
Step-by-step explanation:
total scraps=7+3+5
Red Orange Speckeled
7 3 5
-1
7 3 4
P1=5/15
[tex]P2(1~red~ or~ 1 ~speckeled)=\frac{7}{14} +\frac{4}{14} =\frac{11}{14} \\P=\frac{5}{15} \times \frac{11}{14} =\frac{11}{42}[/tex]
what is this equation????
m=y2-y1\y2-y1
Answer:
Are you sure it ia not x2 - x1 in the denominator?
Answer:
x=2-y
Step-by-step explanation:
Root (2,0)
Vertical intercept (0,2)
8. What is m A to the nearest tenth?
A
14.1
22.9
B
50 POINTS IF YOU HELP ME!!!!!! A study of college business majors included 150 sophomores and 200 juniors. The study showed that 80 sophomores and 150 juniors had summer internships. One person from the study is selected at random. What is the probability that the person is a sophomore given that the person had a summer internship? A. 8 23 3 B. C. 8 15 23 D. 35
Answer:
= 0.3478
Step-by-step explanation:
Given:-
- The number of sophomore, S = 150
- The sophomore and had summer internship, x = 80
- The number of juniors, J = 200
- The junior and had summer internship, y = 150
Find:-
What is the probability that the person is a sophomore given that the person had a summer internship?
Solution:-
- The total sum of sophomore and junior students is N:
N = S + J
N = 150 + 200
N = 350 students.
- We will denote event A as random selection of sophomore from total.
- We will denote event B as random selection of student who had summer internship.
- We are to determine the conditional probability that a person selected is sophomore given that the person had a summer internship. That is the probability of event A given that event B has already occured.
- The conditional probability can be written as:
P ( A / B ) = P ( A & B ) / P ( B )
Where,
P ( A & B ) : The probability the person is a sophomore and had a summer internship.
P ( B ): The probability that the person selected had a summer internship.
P ( A & B ) = x / N
= 80 / 350
= 0.22857143
P ( B ) = ( x + y ) / N
= ( 80 + 150 ) / 350 = 230/350
= 0.65714286
Therefore the required probability is:
P ( A / B ) = 0.22857143 / 0.65714286
= 0.3478 ... Answer
the answer to your question is = 0.3478
Help me out thanks !!!!!!
Answer:
a = 12
Step-by-step explanation:
as C^2 = A^2 + B^2
by Pythagoras theorem
so
A^2 = C^2 - B^2
= 13^2 - 5^2
= 169- 25
144
as 12^2 is equal to 144
hence side a is equal to 12
Answer:
[tex]h^2 = p^2 + b^2 \\ {13}^{2} = {p }^{2} + {5}^{2} \\ 169 = {p }^{2} + 25 \\ 169 - 25 = {p}^{2} \\ 144 = {p}^{2} \\ \sqrt{144} = p \\ 12 = p \\ p = 12[/tex]
7
Carly has a bank account with a balance of $3,575. The account pays simple interest at a rate of
4.15%. How long will it take for the account to grow to $7000? Round to the nearest year.
Answer:
It will take 23 years for the account to grow to $7000.
Step-by-step explanation:
Simple Interest
The simple interest formula is given by:
[tex]E = P*I*t[/tex]
In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.
After t years, the total amount of money is:
[tex]T = E + P[/tex]
Carly has a bank account with a balance of $3,575.
This means that [tex]P = 3575[/tex]
The account pays simple interest at a rate of 4.15%.
This means that [tex]I = 0.0415[/tex]
How long will it take for the account to grow to $7000?
[tex]T = 7000[/tex]
The interest is:
[tex]T = E + P[/tex]
[tex]E = T - P = 7000 - 3575 = 3425[/tex]
Now we have to find t.
[tex]E = P*I*t[/tex]
[tex]3425 = 3575*0.0415*t[/tex]
[tex]t = \frac{3425}{3575*0.0415}[/tex]
[tex]t = 23.1[/tex]
Rounding to the nearest year, it will take 23 years for the account to grow to $7000.
honestly lost on these problems
Answer:
29
Step-by-step explanation:
Hope this helps
mark me brainlist
Answer:
27
Step-by-step explanation:
We know the missing angle for the triangle on the left is 63. And that is the same angle reflected to the other side. There is a right angle so its 63 + 90 = 157.
180 - 157 = 27
What is the slope of a line of best fit if its equation is y = −2x + 3?
−2
Negative 1 over 2
1 over 3
3
Answer:
-2
Step-by-step explanation:
y=m(slope)x+b(y axis)
Choose the sentence that does not have any errors in spelling or punctuation.
Someone who sells tickets is always in the ticket wagon, which is stationary in spite of its wheels.
Someone who sells tickets is always in the ticket wagon, which is stationery in spite of its wheels.
Someone, who sells tickets, is always in the ticket wagon which is stationary in spite of its wheels.
Someone, who sells tickets, is always in the ticket wagon which is stationery in spite of its wheels.
Answer: Someone who sells tickets is always in the ticket wagon, which is stationery in spite of its wheels.
Step-by-step explanation: Do usage of the comma in answers C , and D are incorrect , so that leaves us with answers A and B , in option A stationery is miss spelled so your answer would be : Someone who sells tickets is always in the ticket wagon, which is stationery in spite of its wheels.
PLEASE HELP!! Will give out brainliest!!! But also have to explain how you got the answers!! Please and thanks!!
1) Consider the piecewise
function shown on the graph, which is composed of exponential,
linear, and polynomial pieces.
h(x)
Complete the statements describing function h.
10
8
6
Over the interval [0, 3), function h is represented
4
2
by
function
-10
-8-6
4
02
-2
4
6
8
10
Function h
a continuous function.
As x approaches positive infinity,
h(x) approaches
As x approaches negative infinity,
-10
h(x) approaches
9514 1404 393
Answer:
exponentialis+∞-∞Step-by-step explanation:
Neither linear nor exponential functions have a "wiggle" in their graph, so the piece in the region x < 0 is polynomial.
The piece in the interval [0, 3] is concave upward and has increasing slope. It could be polynomial, but is most likely the exponential piece of the function.
For x > 3, the function is linear.
There are no gaps in function value where the transition is made from one piece to another, so the function is continuous.
The function tends upward at the right side of the graph. It tends downward at the left side of the graph. This tells you the sign of the infinity they tend toward matches the sign of the infinity x tends toward.
__
On the interval [0, 3], h(x) is represented by an exponential function.
H(x) is a continuous function.
As x approaches +∞, h(x) approaches +∞.
As x approaches -∞, h(x) approaches -∞.
How can you find f(4) if f(x)=7x^(2)-5
Answer:
107
Step-by-step explanation:
f(x)=7x^(2)-5
f(4) means that x=4
f(4)=7*4^(2)-5
= 7 * 16 -5
= 112 -5
= 107
ASAP will give brainliest
Question 6(Multiple Choice Worth 4 points)
(07.06) There are currently 3 people signed up for the debate club. The school will not recognize the club officially until it has more than 5 members.
Which of the following graphs includes the possible values for the number of people who still need to sign up to make the club "official?"
H>
-10-9-8-7-6-5-4-3-2-1 0 1 2 3 4 5 6 7 8 9 10
-10-9-8-7-6
-3-2-1 0 1 2 3 4 5 6 7 8 9 10
--10-9-8-7-6
1-2-1 0 1 2 3 4 5 6 7 8 9 10
OH
-10-9-8-7-6-5-4-3-2-1 0 1 2 3 4 5 6 7 8 9 10
Answer:
it should be the last one
Step-by-step explanation:
Two interior angles of a right triangle are equal. Each one measures what
What is 3r-2 ?? Algebra is not my strong suit
can somebody help me with this quickly I forgot how to do this and yeah ill mark you!
Answer:
4/11 i believe
Step-by-step explanation:
please help me. In the circle below, U is the center, VX is a diameter, and m VW = 110 degrees Use this information to fill in the blanks.
Answer:
Step-by-step explanation:
Inscribed angle → ∠VXY
(Angle included between two chords meeting at a point on circumference)
Minor arc → (arc VY)
(Arc measuring less than 180° is called as minor arc)
Semicircle → (arc VWX)
(Arc inscribed by the diameter)
m(arc VWX) = 180°
(Semicircle)
m(∠VUW) = 110°
(Central angle subtended by an arc)
What is the area of the shaded region?
-4x=24
solve da equation
Answer:
You have -4x=24.
well if you divide -4 and 24 you will get -1.6
Step-by-step explanation:
The radius of a right circular cone is increasing at a rate of 1.9 in/s while its height is decreasing at a rate of 2.2 in/s. At what rate is the volume of the cone changing when the radius is 134 in. and the height is 136 in.
Answer:
Volume of the cone is increasing at the rate [tex]9916\pi \frac{in^3}{s}[/tex].
Step-by-step explanation:
Given: The radius of a right circular cone is increasing at a rate of [tex]1.9[/tex] in/s while its height is decreasing at a rate of [tex]2.2[/tex] in/s.
To find: The rate at which volume of the cone changing when the radius is [tex]134[/tex] in. and the height is [tex]136[/tex] in.
Solution:
We have,
[tex]\frac{dr}{dt} =1.9 \:\text{in/s}[/tex], [tex]\frac{dh}{dt}=-2.2\:\text{in/s}[/tex], [tex]r=134 \:\text{in}[/tex], [tex]h=136\:\text{in}[/tex]
Now, let [tex]V[/tex] be the volume of the cone.
So, [tex]V=\frac{1}{3}\pi r^{2}h[/tex]
Differentiate with respect to [tex]t[/tex].
[tex]\frac{dv}{dt} =\frac{1}{3}\pi \left [ r^2\frac{dh}{dt}+h\left ( 2r \right )\frac{dr}{dt} \right ][/tex]
Now, on substituting the values, we get
[tex]\frac{dv}{dt} =\frac{1}{3}\pi\left [ \left ( 134 \right )^2\left ( -2.2 \right )+\left ( 136\right )\left ( 2 \right )\left ( 134 \right )\left ( 1.9 \right ) \right ][/tex]
[tex]\frac{dv}{dt} =\frac{1}{3}\pi\left [ -39503.2+69251.2 \right ][/tex]
[tex]\frac{dv}{dt} =\frac{1}{3}\pi\left [ 29748 \right ][/tex]
[tex]\frac{dv}{dt} =9916\pi \frac{in^3}{s}[/tex]
Hence, the volume of the cone is increasing at the rate [tex]9916\pi \frac{in^3}{s}[/tex].
( 3 x + 2 ) + ( − 5 x + 7 )
Answer: -2x+9
Step-by-step explanation:
(3
Answer:
It wasnt letting me answer so I put it in the comments but the answer is -2x+9
Step-by-step explanation:
Brainliest??
determine the mean of the numbers:
28 40 53 39 45
Answer:
Mean of the numbers is 41
Step-by-step explanation:
1) You add 28 + 40 + 53 +39 +45
2) Divide whatever number by 5 because that is how many numbers there are given
In this case it would 205 divided by 5 which is how I get 41
What is the answer 1/2 x 2 1/3
Answer:
7/6
Step-by-step explanation:
The batteries produced in a manufacturing plant have a mean time to failure of 30 months with a standard deviation of 2 months. I select a simple random sample of 400 batteries produced in the manufacturing plant. I test each and record how long it takes for each battery to fail. I then compute the average of all the failure times. The sampling distribution of is approximately:
Answer:
By the Central Limit Theorem, the sampling distribution is approximately normal, with mean 30 and standard deviation 0.1.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
The batteries produced in a manufacturing plant have a mean time to failure of 30 months with a standard deviation of 2 months.
This means that [tex]\mu = 30, \sigma = 2[/tex]
Sample of 400 batteries. The sampling distribution of is approximately:
So [tex]n = 400, s = \frac{\sigma}{\sqrt{n}} = \frac{2}{\sqrt{400}} = 0.1[/tex]
By the Central Limit Theorem, the sampling distribution is approximately normal, with mean 30 and standard deviation 0.1.