Answer:
860.29 miles
Step-by-step explanation:
just add up the miles he drove in June, July, and August, and you'll get 860.29 miles
responda as expressões 2x+3x+5x:
Answer:
[tex]\tt{}10x[/tex]
Step-by-step explanation:
[tex]\tt{}2x + 3x + 5x[/tex]
[tex]\tt{}(2 + 3 + 5)x[/tex]
[tex]\tt{}10x[/tex]
Find y when x = -3 for the following equation: y = 6x + 8 PLS HELP ASAP
Answer:
y= -10
Step-by-step explanation:
y=6(-3)+8
y=-18+8
y= -10
factor -45x^3-60x^2-20x
Answer:
-5x(3x+2)²Step-by-step explanation:
Factoring the given expression:
-45x³ - 60x² - 20x = -5x(9x² + 12x + 4) = -5x(9x² + 6x + 6x + 4) = -5x(3x(3x + 2) + 2(3x + 2))-5x(3x + 2)(3x + 2) or -5x(3x+2)²Answer:
−5x(3x+2)^2
Step-by-step explanation:
-45x^3-60x^2-20x
Factor out 5.
5(−9x^3-12x^2-4x)
Consider −9x^3-12x^2-4x. Factor out x.
x(−9x^2−12x−4)
Consider −9x^2−12x−4 Factor the expression by grouping. First, the expression needs to be rewritten as −9x^2+ax+bx−4. To find a and b, set up a system to be solved.
a+b=−12
ab=−9(−4)=36
Since ab is positive, a and b have the same sign. Since a+b is negative, a and b are both negative. List all such integer pairs that give product 36.
−1,−36
−2,−18
−3,−12
−4,−9
−6,−6
Calculate the sum for each pair.
−1−36=−37
−2−18=−20
−3−12=−15
−4−9=−13
−6−6=−12
The solution is the pair that gives sum −12.
a=−6
b=−6
Rewrite −9x^2−12x−4 as (−9x^2−6x)+(−6x−4).
(−9x^2−6x)+(−6x−4)
Factor out −3x in the first and −2 in the second group.
−3x(3x+2)−2(3x+2)
Factor out the common term 3x+2 by using distributive property.
(3x+2)(−3x−2)
Rewrite the complete factored expression.
5x(3x+2)(−3x−2)
Mr Thompson, This is my homework! Please help.
Problem 1
ax^2+bx+c is standard form(x+p)(x+q) is factored formThere's not much to say about these. You'll just have to memorize the terms. Note with standard form that the exponents decrease as you move from left to right (2,1,0).
===============================================
Problem 2
Other names for zeros are:
A) x interceptsD) solutionsThe term "root" is also applicable here.
===============================================
Problem 3
We set each piece equal to 0 and solve for x. This is the zero product property
f(x) = (x-2)(x+4)
0 = (x-2)(x+4)
(x-2)(x+4) = 0
x-2 = 0 or x+4 = 0
x = 2 or x = -4
The two x intercepts are located at (2,0) and (-4,0)
Answer: Choice C
===============================================
Problem 4
In the last problem, we found the two roots were x = 2 and x = -4
I'll let p = 2 and q = -4.
Average the roots to get (p+q)/2 = (2+(-4))/2 = -2/2 = -1
This is the x coordinate of the vertex. So h = -1
Plug this into the function to find k, which is the y coordinate of the vertex.
k = f(h)
k = f(-1)
k = (-1-2)(-1+4)
k = (-3)(3)
k = -9
The vertex is located at (h,k) = (-1, -9)
This is another way of saying the vertex is when x = -1 and y = -9
Answer: Choice C
Abdullah and Kanna are working on the same problem.
A juice box has 20% more juice in its new packaging.
The original packaging held 12 fluid ounces. How
much juice does the new packaging hold?
Whose double number line is correct?EXPLAIN YOUR THINKING!!!!!!!
Answer:
Abdullah is correct.
Step-by-step explanation:
The bottle contained originally 12 fl oz, so 12 fl oz is 100%.
The box now contains 20% more, so now it contains 120% of 12 fl oz.
120% * 12 fl oz = 1.2 * 12 fl oz = 14.4 fl oz
Also, 20% is 1/5. Abdullah divided 12 oz into 5 equal parts, and then he added one more 1/5. He interpreted the problem correctly. The amount in the new bottle is the amount of the old bottle plus 20% of that old amount.
Kanna considers the original amount to be 80%. When he adds another 20%, he is adding 1/4 of 12 which is too much. That is why he gets an incorrect answer that is to high. He interpreted the problem incorrectly. For him, the old bottle has 20% less than the new bottle. That is incorrect.
Abdullah is correct.
How do you find exact values?
Answer:
Using trigonometric identities: A trigonometric identity is a relationship between trigonometric functions that we can use to find an exact value of a trigonmetric function.Using the unit circle: The unit circle is a circle with its center at the origin and a radius of 1 unit. If we place an angle, θ, with its initial side along the positive x-axis, then the point where the angle's terminal side intersects the unit circle is (cos(θ), sin(θ)).Using reference angles: Reference angles are the smallest angle that the terminal side of an angle makes with the x-axis. As it turns out, trigonometric functions of an angle and its reference angle have the same value, except that they may have different signs.
For example, suppose we want to find the exact value of tan(405°). First, we take a look at the angle 405° on a graph with the unit circle:
in this that the reference angle of 405° is 45°. We can use the fact that tangent is positive in the first quadrant and the rule for reference angles to deduce that tan(405°) = tan(45°). Then we can use the well-known fact that tan(45°) = 1 to get that tan(405°) = 1.
Step-by-step explanation:
A charity organization is collecting change to raise money. They have collected three times as many dimes as quarters, 11 more nickels than dimes, and 2 times as many pennies as nickels. Let x represent the number of quarters. Write an expression to represent the number of dimes. Write an expression to represent the number of nickels. Write an expression to represent the number of pennies. If they have collected a total of 4,453 coins, how many of each coin have they collected? Show your work.
Answer:
x = no. of quarters
3x = no. of dimes
3x + 11 = no. of nickels
2(3x + 11) = no. of pennies
340 quarters
1020 dimes
1031 nickels
2062 pennies
Step-by-step explanation:
x = no. of quarters
3x = no. of dimes
3x + 11 = no. of nickels
2(3x + 11) = no. of pennies
x + 3x + 3x + 11 + 2(3x + 11) = 4453
x + 3x + 3x + 11 + 6x + 22 = 4453
13x + 33 = 4453
13x = 4420
x = 340 quarters
3x = 1020 dimes
3x + 11 = 1031 nickels
2(3x + 11) = 2062 pennies
Check: 340 + 1020 + 1031 + 2062 = 4453
Felicia picks 1/2 bushel of apples in 2/5 hour how many bushels of apples does Felicia pick in one hour at this rate written as a decimal
Using the triangle in the diagram, what would be the coordinate of A' if reflected over the line x=2 ? *
(0, 3)
(0, -3)
(4, -3)
(-4, 3)
A bike tire just ran over a nail, and it is losing pressure at a rate of 5% every minute. The tire pressure is currently 900 kilopascals. What will it be in 7 minutes?
9514 1404 393
Answer:
629 kilopascals
Step-by-step explanation:
The tire pressure is given by the exponential function ...
p(t) = 900·0.95^t
where t is in minutes and p is in kilopascals.
p(7) = 900·0.95^7 ≈ 629 . . . . kilopascals
Please help!! I need the answer asap
Show work!
1. James did an experiment. He started out with 640 bacteria cells. He found that the growth rate of the bacteria
cells was 5.3%. Sketch the graph that represents the situation. Label the y-intercept and the point that
represents the projected bacteria population 25 h from the time James started the experiment.
2.The function f(x) = 150(1.3)
t
represents the number of bikes sold at Peer’s Bike store in months. The graph
represents the amount of bikes sold at Cycles R Us bike store in the same time period.
Answer:
y = 2327.49 ---> 25 hrs
starting plot points (0,640) and ending (25, 2327.49)
Step-by-step explanation:
b = 640
r = 5.3% = 0.053
t = 25
y = 640 ( 1 + 0.053)^25
y = 640 ( 1.053)^25
y = 2327.49 ---> 25 hrs
starting plot points (0,640) and ending (25, 2327.49)
what is the radius of a hemisphere that has a volume of 36?
I’ll give brainless plis
Answer:
1: height is 28/3 (9 1/3)
2: Base is 25/2 (12 1/2)
3: Height is 59/4 (14 3/4)
Step-by-step explanation:
Since the formula to find the area of a pallelogram is A=base × height
I divided the area by either the Base or the height (depending which one the problem had gave me)
Therefore 147 will be divided by 15 3/4.
Then 140 5/8 will be divided by 11 1/4.
Finally 151 3/16 would be divided by 10 1/4.
Feel free to double check the math btw.
.A 15 m ladder rests against a wall at an angle of 60° with the ground. How far is the
foot of the ladde from the wall?
9514 1404 393
Answer:
7.5 m
Step-by-step explanation:
The cosine relation applies.
Cos = Adjacent/Hypotenuse
cos(60°) = (distance to wall)/(15 m)
distance to wall = (15 m)cos(60°) = (15 m)(1/2) = 7.5 m
The foot of the ladder is 7.5 m from the wall.
Thats the question please help!! emergancy
Answer:
a) 1/25
b) 4/25
Step-by-step explanation:
Plz Help! NUmber 1 and 2! Brainlist for right answer!
Answer:
1 plain plain 2 ham chips
What is the sum of k° + i°?
Answer:
we have:
k + 70° = 180°
=> k = 110°
u can see that i = 180°
=> k + i = 110° + 180° = 290°
Step-by-step explanation:
Sam’s best friend kisses her 20 times while sam’s BF kisses her 102 times
How many times was Sam kissed
Tell your reasoning ?
Answer:
122 times
Step-by-step explanation:
20+102=122
(what is this question lol)
Answer:
Well. Depending on Sam's age, she could've been kissed many times. Not just boy her bf or bestie, anyone could kiss her throughout her life time. Your question is very vague and can have many answers. But I'll take a guess and say she was kissed more than 122 times.
Step-by-step explanation:
life.
Greg studied for 12 minutes. This is 40% of the time he wants to study today. How many more minutes does Greg need to study today?
Answer:
18 More Minutes
Step-by-step explanation:
Hi,
I think I can help.
What I would first do here is try to find the value of 10% relative to the 12 minutes. If we find what 10% is we can multiply that to get 100% to find the total amount of minutes he wants to study. We can then subtract the time already studied to find our answer.
To do this we want to take the 40% we have and find 10. We can do 40/4 to find this since 40 divided by 4 is actually 10.
But if we do this we also have to do with to the number it is relating to / representing. Which is 12. (12 minutes = 40%)
So we can do :
40 / 4
=
10%
Also
12 / 4
=
3
So with this we can conclude that 10% of his total time is 3 minutes.
Now lets multiply this by 10 to get the 100% we are looking for so we can get the total amount of time he spent studying.
So :
10% x 10
=
100%
3 x 10
=
30 minutes
So his total time is 30 minutes of studying, but we have to find how many more minutes after his 12.
We can now simply take the total time and take off the time spent already to find this answer :
30 - 12
=
18 minutes
That is your answer, he needs to study 18 more minutes.
I hope this helps!
If you have any questions or concerns please comment or message me! :)
PLS HELPP! :)
What is the radius with a circumference of 122 in?
Answer:
this is the answer r≈19.42in
because you radius with a circumference of 122in
and that's your answer
Step-by-step explanation:
hope it works
solve the inequality 7x+5>2x+35
Answer:
x>7
Step-by-step explanation:
7x +5 > 2x +35
-2x -5 -2x
5x>35
x>7
Please help- pls pls
Answer:
45⁰
Step-by-step explanation:
use TanB=(3/3)
B=Tan-¹(3/3)
B=45⁰
What is the area of these shapes?
Answer: 1 number the area is 7200
Step-by-step explanation:
The points (-1, r) and (2, 3) lie on a line with slope -1.Find the missing coordinate r
Answer:
r=0
Step-by-step explanation:
1) Place point (2, 3) on graph.
2) Use the slope of -1 to go left -1 and go down -1
3) Until you get to x value of -1
What is a improper fraction and a mixed multiplication
Answer:
Step-by-step explanation:
An improper fraction is a fraction that the numerator is greater than the denominator. As for a mixed fraction, that is a whole number with a fraction next to it.
calculate the middle number between 1.5 and 7.1
Answer:
4.3
Step-by-step explanation:
Add the numbers and divide by 2 , finding the average, that is
middle number = [tex]\frac{1.5+7.1}{2}[/tex] = [tex]\frac{8.6}{2}[/tex] = 4.3
Answer:
4.3 is the answer
Step-by-step explanation:
(1.5 + 7.1 ) ÷ 2 = 4.3
Please help !!!!!!!!!
Answer:
This is some ton of work LOL
Step-by-step explanation:
A. 4/7×5/5=20/35 We multiply by 5 for A because 35÷5=7 and you need to multiply top and bottom. You can NOT forget that. We do not need to simplify something this time? 3/5X7/7=21/35. Why are we muliplying something new? figure out. no need to simplify. oBVIOUSLY 3/5 IF BIGGER
B. As usual etc...
How many of these figures have at least one vertex?
Answer:
2
Step-by-step explanation:
Vertex means point where three edges meet . Two middle figures have vertices
A membership to a movie night club costs $10 plus $2 per movie. Write the equation in slope intercept form to represent the situation
The equation in slope-intercept form is y = 2x + 10.
Option A is the correct answer.
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
Cost of membership = $10
Cost per movie = $2
The total cost for x movie.
= 10 + 2x
This can be written as,
y = 2x + 10
This is a slope-intercept form.
Where 2 is the slope.
Thus,
The equation is y = 2x + 10.
Learn more about equation of a line here:
https://brainly.com/question/23087740
#SPJ5