Answer:
A. opens downward; vertex (3, 11)
Step-by-step explanation:
The leading coefficient is negative (-1), so we know the parabola opens downward.
The vertex in the form ...
A(x) = a(x -h)² +k
is (h, k). Comparing to the given equation, we find (h, k) = (3, 11).
The vertex is (3, 11).
Jonas is buying a three-day supply of camping snacks. An energy bar costs $1.50, and a bag of dried
mangoes costs $3.00. Jonas plans to have 7 snacks per day and can spend up to $45.00.
If p is the number of energy bars he can buy, and m is the number of bags of mangoes he can buy,
which system of equations and inequalities can be used to represent the possible number of each
snack he can buy?
p+m
21
=
21
p+m = 45
1.5p + 3m
p> 0
m >0
1.5p + 3m < 45
p> 0
m 2 0
1.5p + 3m
3p + 1.5m
p20
m 20
p+m = 21
8p + 1.5m
p> 0
m >0
Answer:
P+m=21
1.5p + 3m < 45
p > 0
m > 0
Step-by-step explanation:
What is 10000 + 129000
Answer:
the answer would be 139000
Answer:139000
Step-by-step explanation:
Math question please help
Answer:
square feet
Step-by-step explanation:
1/2 a feet is the full square is half
The diagram shows a logo made from three circles
Answer:
3cm+2cm+5cm=10cm
%=100
10*10=100
2cm*10=20%
Step-by-step explanation:
the shaded area is width of 2 2/10 or 20/100
Answer:
33%
Step-by-step explanation:
for if u want to do it 4cm then
4+3+3=10
100π cm^2
49π cm^2
16π cm^2
49π - 16π = 33π
33/100 =33%
A linear pair of angles are adjacent and complementary
Answer:
You ugly i wanna fight on sight
Step-by-step explanation:
If you roll two fair six-sided dice, what is the probability that at least one die shows a 333?
Answer:
1/3(0.3333333333%)
Step-by-step explanation:
There are six sides, and you can only land on one at a time on each die, so there is a one-in-three chance of landing on a three.
Answer:
11/36
Step-by-step explanation:
Dont trust the other answer it is WRONG
Dove for x in the diagram below.
Find the sum of the geometric series 1−0.99+0.99^2−0.99 ^3 +...−0.99
Answer:
0.28
Step-by-step explanation:
The sum of the geometric value progression is S = 0.28
What is Geometric Progression?A geometric progression is a sequence in which each term is derived by multiplying or dividing the preceding term by a fixed number called the common ratio.
The nth term of a GP is aₙ = arⁿ⁻¹
The general form of a GP is a, ar, ar2, ar3 and so on
Sum of first n terms of a GP is Sₙ = a(rⁿ-1) / ( r - 1 )
Given data ,
Let the sequence be A = { 1 - 0.99 + 0.99² - 0.99³... - 0.99⁷⁹ }
So , A = 1 - { 0.99 - 0.99² + 0.99³... + 0.99⁷⁹ }
Let the first term of the GP be a₁ = 0.99
Now , the common ratio of GP , r = 0.99
And , the number of terms in GP = 80
And , Sum of first n terms of a GP is Sₙ = a(rⁿ-1) / ( r - 1 )
On simplifying , we get
S₈₀ = 0.99 ( 1 - 0.99⁸⁰ ) ( 1 - 0.99 )
On further simplification , we get
S₈₀ = 0.7224
So , the sum of the GP is S = 1 - S₈₀ = 0.28
Hence , the sum of GP is 0.28
To learn more about geometric progression click :
https://brainly.com/question/1522572
#SPJ3
The scale for this drawing is 3 in. = 8 ft. On the drawing, the length of the kitchen measures 7 in. What is the length of the actual Kitchen? Round your
answer to the nearest foot.
Answer:
19 feet
Step-by-step explanation:
First we must make the scale make sense, that is, it is in the same unit, therefore, we will pass 3 inches to feet, we know 1 foot is 12 inches, therefore:
3 inches * 1 foot / 12 inches = 0.25 feet
Which means that the real equivalence is 0.25: 8, now they are 7 inches, therefore:
7 inches * 1 foot / 12 inches = 0.583333
Now, we calculate the number of actual feet using the scale.
0.583333 * 8 / 0.25 = 18.66 feet
that is to say that the length of the current Kitchen is 19 feet if we round
You have a bag of marbles that has 3 blue marbles and 4 red ones. What is the chance that you pick a blue OR a red marble?
Answer:
7/7
Step-by-step explanation:
Add up the amount of the marbles in total and read what color the marble they ask for the chances of. The color of marble should go first then the total of the marbles. (they could ask for more than one color so just add up both the colors given.)
A slice of cake is a sector of a cylinder. The volume of the piece of cake is ______________cm3
Answer:
Volume of piece of cake = [tex]\frac{\theta}{360} \pi r^2h[/tex]
Volume of piece of cake = 196.42 cm³
Step-by-step explanation:
Given:
Shape of cake = cylinder
Find:
Volume of piece of cake = ?
Computation:
Volume of cake = [tex]\pi[/tex]r²h
So,
Volume of piece of cake = [tex]\frac{\theta}{360} \pi r^2h[/tex]
Where,
[tex]\theta\\[/tex] = Angle of cake cut
r = radius of cake
h = Height of cake
[tex]Volume\ of\ piece\ of\ cake =\frac{30}{360}(\frac{22}{7})(10)^2(7.5) \\\\Volume\ of\ piece\ of\ cake = 196.42[/tex]
Volume of piece of cake = 196.42 cm³
Please open the image and help me
3.
[tex]y=\sec^3x+\cot^2(2x)[/tex]
Use the chain rule:
[tex]y'=(\sec^3x)'+(\cot^2(2x))'[/tex]
[tex]y'=3\sec^2x(\sec x)'+2\cot(2x)(\cot(2x))'[/tex]
[tex]y'=3\sec^2x(\sec x\tan x)-2\cot(2x)\csc^2(2x)(2x)'[/tex]
[tex]y'=3\sec^3x\tan x-4\cot(2x)\csc^2(2x)[/tex]
4.
[tex]y=\sin(cos(3x))[/tex]
Same as before:
[tex]y'=(\sin(\cos(3x)))'[/tex]
[tex]y'=\cos(\cos(3x))(\cos(3x))'[/tex]
[tex]y'=-\cos(\cos(3x))\sin(3x)(3x)'[/tex]
[tex]y'=-3\cos(\cos(3x))\sin(3x)[/tex]
Use the diagram to find the indicated angle measures.
m<1= degrees
m<2= degrees
m<3= degrees
Please help !
Answer:
Step-by-step explanation:
its m<2=degrees
Answer:
m∠1 = 131
m∠2 = 49
m∠2 = 112
Step-by-step explanation:
Sandy does babysitting in her spare time. She gets $100 advance pay and $10 per hour for babysitting. She wants to earn enough to buy a new Iphone for $450. How many hours she needs to babysit to earn enough money to buy the Iphone?
Answer: 35 hours
Step-by-step explanation: 450-100 because of the advanced pay, then you dived 350 by ten so you get 35 hours
Answer:
Sandy needs to babysit for 35 hours to earn enough money to buy an Iphone.
Explanation:
Sandy gets $100 advance pay and $10 per hour for babysitting.
Let x denotes the number of hours then
10x + 100
Sandy wants to buy an Iphone for $450
10x + 100 = 450
Solving the above equation
10x = 450 - 100
10x = 350
x = 350/10
x = 35 hours
Therefore, Sandy needs to babysit for 35 hours to earn enough money to buy an Iphone.
joe paid 14.00 for a broard game. THis is 70% of the orginal price. What was the orginal price?
Answer:
20.00
Step-by-step explanation:
14 is 70% of X
70/100 × X = 14
X = 14 × 100/70
X = 20.00
If ItsAkelia (me) had 1M subs and M00dybear had 1M who had more?
(not real sub count but just asking)
Answer:
If you both have 1M subs then its the same, not one person has more
write an equation of a line in slope intercept form that passes through the point (-4,1) and has a slope of -3
Answer:
y+3x+11=0
Step-by-step explanation:
m=-3, x1=-4, y1=1
from m=y-y1/x-x1
-3=y-1/x-(-4)
-3(x+4)=y-1
-3x-12+1=y
y=-3x-11
y+3x+11=0
Owners of a minor league baseball team believe that a Normal model is useful in projecting the number of fans who will attend home games. They use a mean of 8500 fans and a standard deviation of 1500 fans. Using this model, answer these questions. a. Sketch and clearly label this Normal model, based on the 68-95-99.7 Rule. b. What proportion of the home games will have fewer than 6000 fans in attendance
Answer:
a) [tex] \mu -\sigma = 8500 -1500 = 7000[/tex]
[tex] \mu +\sigma = 8500 +1500 =10000[/tex]
[tex] \mu -2*\sigma = 8500 -2*1500 = 5500[/tex]
[tex] \mu +2*\sigma = 8500 +2*1500 =11500[/tex]
[tex] \mu -3*\sigma = 8500 -3*1500 = 4000[/tex]
[tex] \mu +3*\sigma = 8500 +3*1500 =13000[/tex]
On the figure attached we have the illustration for required showing the percentages and the limits for each case
b) [tex] z= \frac{6000-8500}{1500}= -1.67[/tex]
And using the normal standard table or excel we got:
[tex] P(Z<-1.67) = 0.047[/tex]
Step-by-step explanation:
For this case we have the following properties:
[tex] \mu = 8500, \sigma = 1500[/tex]
Part a
And for this case from the empirical rule we know that within one deviation from the mean we have 68% of the values , within two deviation 95% and within 3 deviations 99.7%. So then we can find the limits like this:
[tex] \mu -\sigma = 8500 -1500 = 7000[/tex]
[tex] \mu +\sigma = 8500 +1500 =10000[/tex]
[tex] \mu -2*\sigma = 8500 -2*1500 = 5500[/tex]
[tex] \mu +2*\sigma = 8500 +2*1500 =11500[/tex]
[tex] \mu -3*\sigma = 8500 -3*1500 = 4000[/tex]
[tex] \mu +3*\sigma = 8500 +3*1500 =13000[/tex]
On the figure attached we have the illustration for required showing the percentages and the limits for each case
Part b
For this case we want to find this probability:
[tex] P(X<6000)[/tex]
We can calculate the number of deviation below the mean with the z score formula given by:
[tex] z = \frac{X -\mu}{\sigma}[/tex]
And replacing we got:
[tex] z= \frac{6000-8500}{1500}= -1.67[/tex]
And using the normal standard table or excel we got:
[tex] P(Z<-1.67) = 0.047[/tex]
Micah is filling up his cone-shaped cup with water. The cup (as shown) has a diameter of 72 millimeters and a slant height of 45 millimeters. How much water can Micah fill in his cup?
Answer:
Micah can put 61072.56 ml³ of water in his cup.
Step-by-step explanation:
The volume of a cone is given by the following formula:
[tex]V = \frac{h\pi r^{2}}{3}[/tex]
In which h is the height and r is the radius.
The radius is half the diameter.
In this question:
Radius of 72/2 = 36 ml. So [tex]r = 36[/tex]
Height of 45 ml, so [tex]h = 45[/tex]
The dimensions are in ml, so the volume will be in ml³.
So
[tex]V = \frac{h\pi r^{2}}{3}[/tex]
[tex]V = \frac{45\pi*(36)^{2}}{3}[/tex]
[tex]V = 61072.56[/tex]
Micah can put 61072.56 ml³ of water in his cup.
Answer:
The answer is 11664pimm^3
Step-by-step explanation:
help ASAP! giving BRAINLIEST if awnsered correctly!
Answer:
C. (5x + 6) (5x - 6)
Step-by-step explanation:
25 is a perfect square, meaning its two factors are identical (5), and 36 is also a perfect square with two identical factors (6). With this information, we can split the expression below like this:
[tex]25x^2 - 36\\(5x ) (5x )[/tex]
Since 36 is negative, we have to have a positive 6 and a negative 6:
(5x - 6) (5x + 6)
what is the sum of this arithmetic series? 586+564+542+...+212
Answer:
Basically it's asking for the sum of 212 + 216 + 220 + ..... 586
Each number is 22 more than the previous one.
Therefore the sum will be 212 + (212+22) + (212+22*2) + (212+22*3)
the amount of numbers from 212 through 586 is 18.
Therefore we will need 212 plus 212 * 17 = 3,816 *******************
We will also need all those 22's.
We must add 22 *1 plus 22*2 plus 22*3 ..... plus 22*17
Which equals 22 + 44 + 66 + 88 ... 374
Which totals 3,366 *****************
So, we total 3,816 + 3,366 which equals 7,182
Step-by-step explanation:
[tex]\displaystyle\bf\\Sum=586+564+542+...+212\\\\Sum=212+234+256+...+586\\\\\textbf{We calculate the number of terms (n):}\\\\n=\frac{586-212}{22}+1=\frac{374}{22}+1=17+1=18\\\\\boxed{\bf~n=18~terms}\\\\Sum=\frac{n(586+212)}{2}\\\\Sum=\frac{18\times 798}{2}\\\\Sum=9\times798\\\\\boxed{\bf~Sum=7182}[/tex]
What are the roots of y = x2 – 3x – 10?
0-3 and -10
-2 and 5
X 2 and -5
3 and 10
Answer:
x = 5 x = -2
Step-by-step explanation:
y = x^2 – 3x – 10
Set the equation equal to zero
0= x^2 – 3x – 10
Factor
What 2 numbers multiply to -10 and add to -3
-5 *2 = -10
-5+2 = -3
0=(x-5) ( x+2)
Using the zero product property
x-5 = 0 x+2 = 0
x = 5 x = -2
Answer:
-2 and 5
Step-by-step explanation:
trust
Which trig function would be used to solve for x ?
Answer: sin
Step-by-step explanation:
Help meeeeeeeeeeeeeeeeeee
>_
Answer:
good news, the second one is relatively easy because it can be factored to (2x+1)(2x-3) which means that number two has solutions of -1/2 and 3/2
but for number one you have to either use the quadratic equation cause I've tried using synthetic division or just use the second equation to derive the first solutions so I tried move the graph up by two units and found that the intercepts are approximately (1+-√2)/2 or 1/2+-1/√2 for 4x^2-4x-1
Which statement is true?
(table included and answers)
Answer:
b
Step-by-step explanation:
i think the answers b
HELP ME ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing. Check ALL that apply.
Answer:
-2 & 1/3
Step-by-step explanation:
When you set the two equations equal to each other, they form to parallel, vertical lines. They cross the x-axis at -2 and 1/3. Hope this helps.
PLEASE HELP MEE :)
40 POINTS
WILL MARKE BRAINLIEST
Which would be the best name for a
function that takes the time spent
heating a kettle and returns the
temperature of the kettle?
Both of possible:-))
What is the area of the parallelogram?
7
6
5
square units
Answer:
What I think the area is 210
Step-by-step explanation:
Multiply the lengths. Hope this helps
The ratio of sailboats to dinghies in the bay was 5 to 7 If there were 70
sailboats in the bay, how many dinghies were there?
Answer:
98
Step-by-step explanation:
Let the sailboats be s and the dinghies be d.
We have that:
s : d = 5 : 7
In other words:
s / d = 5 / 7
If there are 70 sailboats, this implies that s = 70
=> 70 / d = 5 / 7
=> d = (70 * 7) / 5 = 490 / 5 = 98
There will be 98 dinghies.
plz answer fast and i will mark the branliest
Answer: 49
Step-by-step explanation:
[tex]-11\frac{2}{3}*-4\frac{1}{5}[/tex]
The first thing we are going to do is to convert to an improper fraction. To do this, you take the whole number, you multiply it by the denominator and add the numerator; all over the same denominator.
[tex]-\frac{11*3+2}{3}*-\frac{4*5+1}{5}[/tex]
Solve;
[tex]-\frac{33+2}{3}*-\frac{20+1}{5}[/tex]
[tex]-\frac{35}{3}*-\frac{21}{5}[/tex]
Now you can simply multiply numerators and denominators. Also, remember the negative signs which become positive because -*-=+
Before multiplying, it's easier to solve fractions that are being multiplied if you simplify them.
35 and 5 can be simplified.
35/5=7
5/5=1
21 and 3 can be simplified.
21/3=7
3/3=1
Leaving our multiplication as:
[tex]-7*-7[/tex]
49
