What is the axis of symmetry of h(x)=5x^2+40x+64
Answers
.. x = -b/(2a)
You have
.. a = 5
.. b = 40
so the axis of symmetry is
.. x = -40/(2*5)
.. x = -4
Answer:
2
Step-by-step explanation:
give me brainliest
Related Questions
The list price of a bicycle tire is $28 and the trade-discount rate is 15%. Find the net price to the nearest cent, using the complement method.
Answers
Answer: The net price to the nearest cent is $23.80.
Step-by-step explanation:
Since we have given that
List price of a bicycle = $28
Rate of trade discount = 15%
So, Amount of trade discount would be
[tex]\dfrac{15}{100}\times 28\\\\=\$4.20[/tex]
So, Amount after discount, it would be
[tex]\$28-\$4.20\\\\=\$23.8[/tex]
Hence, the net price to the nearest cent is $23.80.
The ratio of the perimeters of two similar triangles is 3:7. Find the ration of the areas! Please help, I am really not sure. And please explain well in terms that I can understand and draw a visual as well.
Answers
Intuitively, you can imagine that the triangle is simply being "scaled up" by a factor of 7/3, so the base scales up to 7/3 its original length and the height becomes 7/3 its original height.
Therefore, the new ratio is the square of the ratio of the perimeters, which is 9:49.
premier bank is planning to have a new building constructed
Answers
Let L, W, N represent the length in feet, width in feet, and number of floors (count). Then it seems we can write
.. L = W +40 . . . . . length is 40 ft more than width
.. 10LW +35000N = 1180000 . . . . . cost is based on foundation area and number of floors. (Here, we assume the 1st floor is sandwiched between the foundation at ground level and whatever it is that is 12 ft high and costs 35,000.)
.. 2(L +W) = 3*(12N) . . . . the height is 12 ft times the number of floors, and the perimeter is 3 times that.
These give rise to a quadratic equation.
.. 10L(L -40) +35000(L +(L -40))/18 = 1180000
Eliminating fractions and dividing by 10, we get
.. 9L^2 +3140L -1132000 = 0
The positive solution is
.. L = (10/9)*(-157 +√126529) ≈ 220.788
There is one solution and it is viable.
_____
The building is approximately 220.8 ft by 180.8 ft and 22.3 floors high.
Answer:
220.8 ft by 180.8 ft and 22.3 floors high.
Step-by-step explanation:
A baker has a bin filled with 30 cups of flour. His signature cake requires one and a half cups of flour. Determine which graph and which equation represent the amount of flour in the bin, F, after he bakes c signature cakes.
Answers
The equation for the flour left in the bin after baking c number of cakes is F = 30 - 1.5*c. This equation can be graphed with flour left, F, on the vertical axis and the number of cakes, c, on the horizontal axis, producing a downward sloping line.
Explanation:The subject of this question is mathematics and it focuses on linear equations and graphical representations. To answer this question, consider that the baker uses one and a half cups of flour for each cake. So, if he bakes 'c' amount of cakes, then the total flour used will be 1.5*c cups. If he started with 30 cups of flour in the bin, after making 'c' cakes, the flour remaining, F, in the bin will be given by the equation F = 30 - 1.5*c. This is a linear equation and its graph would be a line with a negative slope (because the amount of flour decreases as more cakes are baked). On the graph, the vertical axis (y-axis) could be the amount of flour left 'F', and the horizontal axis (x-axis) would be the number of cakes 'c'. The line would start from the point (0,30) (since initially, when no cakes are baked, there are 30 cups of flour) and slope downwards.
Learn more about Linear Equations here:https://brainly.com/question/32634451
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explain how you can find whether 5/6 or 5/8 is greater
Answers
next you want to compare the two fractions. Which is greater, 20/24 or 15/24? Well, 20 is greater than 15, so the answer to your question is 20/24 which is 5/6 in the simplest form!!!
final answer: 5/6
5/6 is greater than 5/8
5/6 > 5/8
PLEASE HELP PLEASE BABES!!
A bag contains 40 marbles: 12 red, 12 blue, and 16 yellow. What is the probability that a blue is randomly selected?
A) .30
B) .33
C) .40
D) .60
Answers
[tex] |\Omega|=40\\
|A|=12\\\\
P(A)=\dfrac{12}{40}=\dfrac{3}{10}=30\% [/tex]
plz help ill give you brainlist
Answers
1. formula of perimeter is: P=2(a+b), where a & b - the sides of rectangle.
2. according to the condition 2(x+(x+4))<120; ⇒ x<28
answer: D. x<28
How do you figure how far Leanne walks if she walks a speed of
3 and one third miles in two hours
Answers
3 1/3 x 2 hours = 6 2/3 total miles
What are the x- and y-intercepts of the line with equations x+2y=4?
Could someone explain this to me?
Answers
x+2y=4------------ > y=(4-x)/2
the x-intercepts is the value of X for y=0
0=(4-x)/2------------ > x=4--------------------> (4,0)
the y-intercepts is the value of y for x=0
y=(4-0)/2------------- > y=2-------------------> (0,2)
see the attached figure
Randy is 6 feet tall, and casts a 7.5 foot shadow. Find the angle of depression from the top of Randy’s head to the tip of his shadow. Round answer to the nearest tenth.
Answers
the right answer is A 38.7
At a wedding, there are 456 people spread out amongst 45 tables. There are no empty seats. The reception hall has tables that sit 12 people or 8 people. Write a system of equations that can be used to find the number of each type of table the restaurant has.
Answers
The system of equations is [tex]\[ \begin{cases} x + y = 45 \\ 12x + 8y = 456 \end{cases} \][/tex]
How did we arrive at this equation?
Let's denote the number of 12-person tables as [tex]\( x \)[/tex] and the number of 8-person tables as [tex]\( y \)[/tex]. Since there are 45 tables in total, we can express the first equation as:
[tex]\[ x + y = 45 \][/tex]
Now, considering the total number of people seated, we know that each person at a 12-person table occupies one seat, and each person at an 8-person table occupies one seat as well. The total number of people is 456. Therefore, the second equation is:
[tex]\[ 12x + 8y = 456 \][/tex]
So, the system of equations is:
[tex]\[ \begin{cases} x + y = 45 \\ 12x + 8y = 456 \end{cases} \][/tex]
These equations represent the conditions that the total number of tables is 45 and the total number of people seated is 456, with no empty seats.
Which is an odd monomial function? A.y=2x^3 B.1/x C.5x^-9 D.3
Answers
Monomy: Algebraic expression that consists of a single term or in which the terms that form it are related by the product operation.
Odd function: A function is odd if, for each x in the domain of f, f (- x) = - f (x).
The function y = 2x ^ 3 complies with both definitions.
Answer:
an odd monomial function is:
A.y = 2x ^ 3
x 5,7,9,11,13
.................................
y 14,16,18,20,22
Write the rule for the relationship between x and y
y=?
Answers
7 + 9 = 16
9 + 9 = 18
11 + 9 = 20
13 + 9 = 22
Your answer is y = x + 9
The table represents the temperature of a cup of coffee over time.
Which model best represents the data set?
A) exponential, because there is a relatively consistent multiplicative rate of change
B) exponential, because there is a relatively consistent additive rate of change
C) linear, because there is a relatively consistent multiplicative rate of change
D) linear, because there is a relatively consistent additive rate of change
Answers
temperature thrice. If you compare time=0 until time=30, you will get this table
t(10)- t(0)= 180-200= -20
t(20)-t(10)= 163-180= -17
t(30)-t(20)= 146-163= -17
t(40)-t(30)= 131- 146= -15
t(50)-t(40)= 118-131= -13
t(50)-t(40)= 107-118= -11
There is something weird about the 2nd and 3rd value because it was same -17., but there seems to be a +2 change to the difference. So, the graph would be exponential with a relatively consistent multiplicative rate of change
Answer:
A on E2020
Step-by-step explanation:
Trish is taking care of the hans family’s dogs. The hans leave 7 cans of dog food for the 3 days they’ll be away. How much food will the dogs get each day if Trish feeds them and equal amount each day?
Answers
Divide 7 by 3.
7/3= 2.333333
Or, 2 1/3.
Trish will feed the dogs 2 1/3 cans of food each day.
I hope this helps!
~kaikers
-2⁄3 a − 6 = 12 a =?????????????/
Answers
-6=12a+2/3a
-6=38/3a
3/38*-6=a
-18/38=a
a=-9/19
a=-0.47
How many ways can a person select 3 videotapes from a collection of 10 tapes?
Answers
C(10,3)=10!/(3!(10-3)!)=10!/(3!7!)=10*9*8/(1*2*3)=120
ways to select three videotapes out of 10.
A website randomly creates an initial password for people when they first sign up for an account. The password consists of five letters, and cannot include numbers or special characters. The letters of the password cannot repeat. What is the approximate probability that a password will have no vowels? What is the approximate probability that the first letter of the password will be m?
Answers
No vowels
The question actually starts right here. The preamble tells us that we can only use letters, no numbers, and no symbols. We are not asked to do anything. The first question makes no mention of there being anything special about m. It can be there or it most likely is not. This part of the problem is the first part.
First Part
I'm not going to deal with y. I will declare it to be a consonant.
There are 5 vowels. None of them can be chosen.
21 letters remain (including the m since it has not been limited in any way yet).
21 * 20 * 19 * 18 * 17
================
26 * 25 * 24 * 23 * 22
2441880 / 7893600
0.30934
Note: If your calculator has nPr on it, you can enter 21 nPr 5 to eliminate all the typing.
Second Part
No vowels and the first letter MUST be m
1 * 20 * 19 * 18 * 17/( 26 * 25 * 24 * 23 * 22)
116200/7893600 = 0.01473
Vowels and the first letter m.
1 * 25 * 24 * 23 * 22/ 7893600 = 0.03846
find the equation of parallel line:
find the equation of perpendicular line:
Answers
Note, that the answers are marked by red.
Answer:
the person on top is right.
Step-by-step explanation:
What is the midpoint between points (15,-1),(9,-5)?
Answers
.. ((15, -1) +(9, -5))/2 = ((15+9)/2, (-1-5)/2) = (12, -3)
Does the following equation represent growth or decay y=76(1.013)x
Answers
Answer:
[tex]y=76(1.013)^x[/tex]
Growth
Step-by-step explanation:
We are given an equation [tex]y=76(1.013)^x[/tex]
We need to say about growth or decay of above equation.
It is an exponential function.
[tex]y=ab^x[/tex]
Growth or decay depends on the value of b
If b>1 then function is growth
If 0<b<a then function is decay
Now, we compare the the function
[tex]76(1.013)^x\rightarrow ab^x[/tex]
[tex]b=1.013[/tex]
b>1
The value of b is greater than 1.
Hence, [tex]y=76(1.013)^x[/tex] is growth function.
if the apr on a credit card is 22.2% what is the monthly interest rate
Answers
Solution:
APR =Annual Percentage rate
It is the amount of money charged as interest on a sum that you borrow from bank.The interest can be paid monthly or annualy. If you pay the balance at the end of each month that you have borrowed from credit card ,there is no need to pay interest.To find the monthly interest rate , we just divide the value of APR by 12 .
As Yearly interest rate i.e APR on credit card = 22 .2 %
Then , Monthly interest rate = [tex]\frac{22.2}{12}= 1.85[/tex]%
“You are collecting email addresses from 74 customers per day, which is about 90% of the daily goal of emails per day.”
Answers
74 = 0.90x , where x is the daily goal of emails per day.
Dividing both sides by 0.90 gives x = 82.222. We can round down to 82 emails.
Final answer:
To find the daily email goal when 74 is 90%, we divide 74 by 0.9, leading to approximately 82.22 emails. The importance of email is underscored by the billions of users and emails sent daily, highlighting its role in business communication.
Explanation:
The student's question pertains to the calculation of a daily email collection goal based on the collection of email addresses from 74 customers, which they've stated is 90% of that goal.
To find the total daily goal, we can set up a proportion where 90% (or 0.9) of the goal equals 74 customers. We use a simple algebraic equation to solve for the total goal (G): 0.9 * G = 74. Dividing both sides by 0.9 gives us G = 74 / 0.9, which gives us the total goal as approximately 82.22 customers per day.
It's important to understand the context and relevance of emails in our daily lives. As of 2023, there are over 4.2 billion email users globally with up to 60 billion emails sent daily.
This vast number shows the significance of email communication, especially in business communication, making it a fundamental skill to manage effectively. With an average office worker receiving 120 emails daily, it becomes clear why being effective with email correspondence is crucial.
PLEASE HELP WILL GIVE 30 POINTS AND BRAINLIEST.
Write the statement for the problem in mathematical language. Use x for the tens digit and y for the unit digits in the two digit numbers.
Find the two-digit number which is greater than the product of its digits by 26
The statement is ?
The number is ?
Answers
There are thee (3) sets of numbers that satisfy this.
.. (x, y) = (3, 2) . . . . the number is 32
.. (x, y) = (5, 6) . . . . the number is 56
.. (x, y) = (9, 8) . . . . the number is 98
If you solve the equation for y, you get
.. y = 10 -16/(x -1)
so x-1 is a 1-digit factor of 16: 2, 4, 8. These give rise to the solutions above.
The measure of the space inside a geometric figure
Answers
So if u want to know what this would’ve called it would be volume hope this helps have a gr8 day/night
Which linear inequality is represented by the graph?
y < 3x + 2
y > 3x + 2
y < x + 2
y > x + 2
Answers
Answer:
y > 3x+2
Step-by-step explanation:
We have 2 points so we can find the slope
m = (y2-y1)/(x2-x1)
= (2--7)/(0--3)
= (2+7)/(0+3)
= 9/3
= 3
The y intercept is 2, so we can write the equation of the line using the slope intercept form (y=mx+b)
y = 3x+2
The line is dotted so we use either < or > (If it were solid we would use ≤ or ≥)
Since it is shaded above , y is greater than.
y > 3x+2
find the volume of the cylinder 13mm and 16mm
Answers
The volume of the cylinder is approximately 8491 mm³.
To find the volume of a cylinder, we use the formula:
[tex]\[ \text{Volume} = \pi \times \text{radius}^2 \times \text{height} \][/tex]
Given:
Radius [tex](\( r \))[/tex] = 13 mm
Height [tex](\( h \))[/tex] = 16 mm
Substitute the values into the formula:
[tex]\[ \text{Volume} = \pi \times (13)^2 \times 16 \][/tex]
[tex]\[ \text{Volume} = \pi \times 169 \times 16 \][/tex]
[tex]\[ \text{Volume} = \pi \times 2704 \][/tex]
Using an approximate value of [tex]\( \pi \)[/tex] as 3.14:
[tex]\[ \text{Volume} \approx 3.14 \times 2704 \][/tex]
[tex]\[ \text{Volume} \approx 8491.36 \, \text{mm}^3 \][/tex]
Rounded to the nearest whole number, the volume is approximately 8491 mm³, which matches option B. Therefore, the correct answer is B.
Complete Correct Question:
Find the volume of the cylinder. 13 radius 16 height
A 16,990 mm?
B. 8,491 mm3
C 4,247 mm3
0 D; 2,369 mm?
A bag contains 5 gray tiles and 2 blue tiles. Jenny reached into the bag and picked a tile randomly, and then without replacing it, picked a second tile. If you know that she picked a blue tile with her first pick, what is the probability that she picked a gray tile with her second pick? A) 1 6 B) 1 7 C) 5 6 D) 5 7
Answers
Answer:
the anwer would be c
I think that the answer is c can somebody help me out ?
Answers
tan F = 40/9 which is the third option
Explanation:
Triangle DEF is a right-angled triangle. This means that we can apply the special trigonometric function.
This means that:
tan θ = opposite / adjacent
In the given:
θ = F
opposite is DE = 40
adjacent is DF = 9
Substitute in the above equation:tan F = 40/9
Hope this helps :)
Let t[1..n] be a sorted array of distinct integers, some of which may be negative. give an algorithm that can find an index i such that 1 i n and t[i] = i
Answers
1 ≤ i ≤ n and t[i]=i.
If we need to find only the first occurrence, we can do:
for i:1 to n {
if t[i]=i then return(i)
}
If exhaustive search is required, then put the results (values of i) in an array or a linked list, return the number of values found, and the array (or linked list).