Answer:
[tex]-4d[/tex]
Step-by-step explanation:
We can subtract a term from another if they have the same variable. Both [tex]3d[/tex] and [tex]7d[/tex] have the variable [tex]d[/tex], so we can subtract them.
When subtracting these terms, we subtract the coefficients and keep the variable.
So:
[tex]3d - 7d = 3-7(d) = -4d[/tex]
Hope this helped!
Answer:
-4d
Step-by-step explanation:
3d - 7d
=> 3 x D - 7 x D
=> (3 - 7)(D)
=> -4 x D
=> -4d
A car is at a distance s, in miles from its starting point in t hours, given by s(t)=10t^2. Find s(2) and s(5). Find s(5)-s(2). What does this represent? Find the average rate of change from t=2 to t=5. This is the average velocity
Answer:
Average Velocity= 70 miles per hour
Step-by-step explanation:
Distance= s
Time = t
s(t)=10t^2
Putting the values
s(2) = 10 (2)^2= 10&4
s= 40
s(5) = 10 (5)^2 = 10*25
S(5)= 250
The average velocity is defined as the rate of change of speed in unit time.
So
Speed= distance/time
Velocity = Speed in a definite direction
Average Velocity= Displacement/ Time
Average Velocity= Change in distance/ Change in time
s(5) - s(2)/ t(5)- t(2)
= 250-40/5-2= 210/3= 70 miles per hour
Helppppppppp please !!!
Answer:
Hey there!
Rhianna has 1/2 of a box of pencils left after using some at school.
The bottom two boxes would be 3÷3=1.
Let me know if this helps :)
Answer:
2Step-by-step explanation:
There are 6 spaces and three are shaded
= [tex]6\div 3 = 2\\[/tex]
5. What is the slope of the line that passes through (-2, 4) and (7, 1)?
-9/5
-1/3
3
5/9
Answer:
Slope: [tex]-\frac{1}{3}[/tex]
Step-by-step explanation:
Step 1: Use slope formula to find the slope
[tex]m = \frac{y2 - y1}{x2- x1}=\frac{4-1}{-2-7}=\frac{3}{-9} =-\frac{1}{3}[/tex]
Therefore the slope of a line that passes through (-2, 4) and (7, 1) is [tex]-\frac{1}{3}[/tex]
What is the answer to this problem 30 + (16/2)
Answer:
Brainliest!
Step-by-step explanation:
30+8
=38
16/2 = 8
Answer:
38
Step-by-step explanation:
16/2 = 8
30 + 8 = 38
On the number line above, points J, K, L, and M are integers, and JK:KL:KM = 2:1:3. What is the value of KM? number line shown below
Answer:
F. 12Step-by-step explanation:
The distance between A and M i.e JM = M - J = 5-(-19)
JM = 5+19
JM = 24
If JK:KL:KM = 2:1:3
The total ratio = 2+1+3
Total ratio = 6
Dividing each length based on ratio
length JK = 2/6 * JM
JK = 1/3 * 24
JK = 8
length KL = 1/6 * JM
KL = 1/6 * 24
KL = 4
length KM = 3/6 * JM
KM = 1/2 * 24
KM = 12
Hence the value of KM is 12
Frank needs to fill juicecups for his little sister's birthday party there are 35 juice cups in each juice cup holds 12 fluid ounces the juice comes in a 1 gallon bottle how many 1 gallon bottles of juice will Frank need to purchase
Answer:
He would need 3.3 gallons
Step-by-step explanation:
1 gallon = 128 ounces
35 * 5 = 420
420 / 128 = 3.28
As of Sunday evening, José has collected 172 clothing items and Biruk has collected 1 clothing item for the clothing charity drive. José says he will collect 6 items per day. Biruk says he will collect 15 items per day. How many days from Sunday will it take until they have collected the same total number of clothing items for the charity drive?
Answer:
It will take 19 days from Sunday.
Step-by-step explanation:
You can use the equation 172 + 6d = 1 + 15d for this equation. 172 and 1 are how many items Jose and Biruk started with. 6d and 15d represent how many items they get a day. Here's how you can solve the equation:
172 + 6d = 1 + 15d
-6d -6d
172 = 1 + 9d
-1 -1
171 = 9d
÷9 ÷9
19 = d (write it as d = 19)
(When you type the answer, be sure to always put the letter first.)
a store makes a profit of $1000 in January. in February the sales are up 25%, but in March the profit is down 25%. The manager says the profit for the march is still $1000. What is his error? What is the actual profit for the march?
Answer:
The profit is 937.50$ The manager subtracted 25% from januarary's profit not march's.
Step-by-step explanation:
1000 times 25% is 1250 - 25% = 937.50
Answer:
Step-by-step explanation:
The profit is 937.50$ The manager subtracted 25% from januarary's profit, not march's.
Step-by-step explanation:
1000 times 25% is 1250 - 25% = 937.50
Plzzzzz help will give brain and points!!! Explain why a quadratic equation with a positive discriminant has two real solutions, And why a quadratic equation with a negative discriminant has no real solution, And a quadratic equation with a discriminant of zero has one real solution.
Answer:
The given equation is -2x^2 = -8x + 8
This can be rewritten as 2x^2 - 8x + 8 = 0
Here the value of a =2, b = -8 and c = 8
Discriminant = b^2 - 4ac
Now plug in the above values in the discriminant, we get
= (-8)^2 - 4*2*8
= 64 - 64
= 0
Here the discriminant is 0, so we will get one real root.
The discriminant is equal to 0, which means the equation has one real number solution.
Hope this will helpful.
Thank you.
Tarun has a few balloons with him. The number of balloons he has is MORE than 15 but LESS than 20. He gives 5 of them to Sia. What could be the number of balloons LEFT with Tarun
Answer:
No. of balloons left with Tarun is MORE than 10
but LESS than 15.
10 < No. of balloons left with Tarun <15
Step-by-step explanation:
this is problem of inequality . first we will try to write the existing condition in inequality form then apply other situation as given in the problem.
___________________________________________________
let the no . of balloons with Tarun be x
Given he has is MORE than 15 balloons
thus, in equality it can be represented as
x > 15
he has LESS than 20 balloons
x < 20
combining both we have
15 < x < 20
now he gives 5 of them to sia
so we have to subtract 5 from inequality
he has left with him x-5 , let x-5 be y
thus,
subtracting 5 from each part of inequality
15 -5 < x-5 < 20 -5
10 < x-5 < 15
10 < y <15
Thus, No. of balloons left with Tarun is MORE than 10
but LESS than 15.
There are four activities on the critical path, and they have standard deviations of 1, 2, 4, and 2 days. The standard deviation of the critical path is
Answer:
The standard deviation of the critical path = 5
Step-by-step explanation:
The formula for the standard deviation of a critical path is given as:
Standard deviation of a path
=√(sum of variances of activities on path)
Variance = (Standard deviation)²
In the above question, we are given:
Standard deviation of 1, 2, 4 and 2 days
Standard deviation of a critical path
=√(sum of variances of activities on path)
= √1² + 2² + 4² + 2²
= √1 + 4 + 16 + 4
= √25
= 5
Which fractions are equal to 2/3 ? Check all that are true. 1/3 6/9 4/6 1/6 3/2
Step-by-step explanation:
2/3=4/6=6/9
your answer is 4/6,6/9
explanation
(2/3)×2=4/6
therefore 4/6 is a multiple of 2/3
(2/3)×3=6/9
therefore 6/9 is a multiple
if we comprise 4/6 & 6/9 we get 2/3
(b) 6/9 and (c) 4/6 are equivalent to 2/3
The fraction is given as:
[tex]\mathbf{Fraction = \frac 23}[/tex]
The equivalent fractions are 6/9 and 4/6, because they can be reduced to 2/3.
The proof is as follows
[tex]\mathbf{Fraction = \frac 69}[/tex]
Divide the numerator and the denominator by 3
[tex]\mathbf{Fraction = \frac{6/3}{9/3}}[/tex]
[tex]\mathbf{Fraction = \frac{2}{3}}[/tex]
Also, we have:
[tex]\mathbf{Fraction = \frac 46}[/tex]
Divide the numerator and the denominator by 2
[tex]\mathbf{Fraction = \frac 23}[/tex]
Hence, 6/9 and 4/6 are equivalent to 2/3
Read more about equivalent fractions at:
https://brainly.com/question/17912
Which of the following graphs represent functions Circle your answers. If it is a function, state the domain
and range. If the graph is not included, make a table and graph the function by hand.
Answer:
Step-by-step explanation:
A). y = |2x - 3| + 1
Domain of function is defined by the x-values (Input values) and Range by the y-values(Output values).
From the graph,
Domain : (-∞, ∞)
Range : [1, ∞)
B). Table of the input-output values of the function,
y = x² - 2x + 1
x -2 -1 0 1 2
y 9 4 1 0 1
By graphing the function as attached,
Domain of the function : (-∞, ∞)
Range of the function : [0, ∞)
C). x² + y² = 3²
Domain of the function : [-3, 3]
Range of the function : [-3, 3]
D). x = 5
Domain of the line : [5, 5]
Range of the line : (-∞, ∞)
If $1205 is borrowed for 11 years at an annual simple interest rate of 11.3%, what is the total
amount that must be repaid rounded to the nearest cent
Answer:
$2,702.82
Step-by-step explanation:
The formula for simple interest is
I = Prt
where
I = interest amount
P = amount invested (the principal)
r = annual rate of interest
t = time in years
11.3% = 0.113 as a decimal
Now we use the formula to find the amount of interest earned.
I = $1,205 * 0.113 * 11
I = $1,497.82
The interest amount is $1,497.82.
Now we add the earned interest to the principal amount.
$1,205 + $1,497.82 = $2,702.82
Simplify the expression to a polynomial in standard form: (x−3)(x 2 −7x−2)
Answer:
-5x²+13x+6
Step-by-step explanation:
(x-3)*(2x-7x-2)
(x-3)*(-5x-2)
-5x²-2x+15x+6
-5x²+13x+6
For the given function, identify the x- and y-intercepts if any, the vertex, the axis of symmetry, and the maximum or minimum value. f(x)=−x2+25 A) There are no x-intercepts. The y-intercept is (0,25). The vertex is (0,25). The axis of symmetry is y=0. The maximum value of the function is 25. B) The x-intercepts are (−5,0) and (5,0). The y-intercept is (0,25). The vertex is (0,25). The axis of symmetry is x=0. The maximum value of the function is 25. C) The x-intercepts are (−5,0) and (5,0). The y-intercept is (0,−25). The vertex is (0,−25). The axis of symmetry is x=0. The minimum value of the function is −25. D) The x-intercepts are (−25,0) and (25,0). The y-intercept is (0,5). The vertex is (0,5). The axis of symmetry is x=0. The maximum value of the function is 5.
Answer:
B) The x-intercepts are (−5,0) and (5,0). The y-intercept is (0,25). The vertex is (0,25). The axis of symmetry is x=0. The maximum value of the function is 25.
Step-by-step explanation:
Given that the function is:
[tex]y=f(x)=-x^2+25[/tex]
It is quadratic equation, therefore we can observe that it is a parabola.
The coefficient of [tex]x^{2}[/tex] is negative, therefore it opens downwards.
That means it will have a maximum value.
This maximum value is at the vertex and where x = 0.
Also, vertex is at x intercept.
x intercept is the value of x where we have y = 0 and
y intercept is the value of y where we have x = 0
So, let us put y = 0 first.
[tex]0=-x^2+25\\ \Rightarrow x^{2} =25\\\Rightarrow x =5, -5[/tex]
Therefore x intercepts are at (5, 0) and (-5, 0)
Now, let us put x = 0,
[tex]y=0+25\\\Rightarrow y =25[/tex]
Therefore y intercept is at (0, 25).
It is the point of maximum value (which is 25) and vertex of parabola as explained above.
Kindly refer to the attached image for the graph of given function.
Therefore, correct option is:
B) The x-intercepts are (−5,0) and (5,0). The y-intercept is (0,25). The vertex is (0,25). The axis of symmetry is x=0. The maximum value of the function is 25.
Answer:
Vertex = (3,–4), y-intercept = (0,5), x-intercepts = (1,0) and (5,0), axis of symmetry is x = 3
Step-by-step explanation:
PLZ HELP HURRY PLZ Below are the data collected from two random samples of 100 members of a large travel club regarding the type of vacation they prefer: Which of the following inferences can be made based on the data? Most members prefer a beach vacation. Most members prefer a adventure vacation. More members prefer an adventure vacation and a ski vacation than a cruise vacation. More members prefer a beach vacation and ski vacation than an adventure vacation.
More members prefer a beach vacation and ski vacation than an adventure vacation.
======================================================
Explanation:
Let's go through the four answer choices to see which one is true.
Choice A is false because most members prefer a cruise, as 70+72 = 142 is the largest column sum. Choice B is false for the same reasoning as choice A.Choice C is false. We have 6+1 = 7 people who prefer adventure and 19+21 = 40 who prefer to ski, giving 7+40 = 47 people who prefer either. But this is nowhere near 142 we found back in choice A above. So more people prefer a cruise than the combined amount for adventure and ski.Choice D is true. Adding the column totals for "beach" and "ski" gives (5+6)+(19+21) = 11+40 = 51, and this exceeds the column total of "adventure (6+1 = 7).5 5/6+(-1/6)+2 2/3+(-2 2/3)
Answer:
17/3 or 5 2/3 or 5.6 repeating
Step-by-step explanation:
z
Answer:
5(5/6)+(-1/6)+2(2/3)+(-2)(2/3)
(35/6)-(1/6)+(8/3)-(8/3)
find the least common multiple which is 3
therefore 70-3+16-16
the answer is 67
A particle is moving along a projectile path at an initial height of 160 feet with an initial speed of 144 feet per second. This can be represented by the function H(t) = −16t2 + 144t + 160. What is the maximum height of the particle?
Answer:
The maximum height of the particle is 484 m.
Step-by-step explanation:
Given that,
A particle is moving along a projectile path at an initial height of 160 feet with an initial speed of 144 feet per second. This can be represented by the function :
[tex]H(t) = -16t^2 + 144t + 160[/tex] ....(1)
We need to find the maximum height of the particle. For maximum height put [tex]\dfrac{dH}{dt}=0[/tex]
So,
[tex]\dfrac{d(-16t^2+144t+160)}{dt}=0\\\\-32t+144=0\\\\t=4.5\ s[/tex]
Put t = 4.5 s in equation (1) as :
[tex]H(t) = -16(4.5)^2 + 144(4.5)+ 160\\\\H(t)=484\ m[/tex]
So, the maximum height of the particle is 484 m.
Answer:
484 feet
Step-by-step explanation:
First, look at H(t) = −16t^2 + 144t + 160 as ax^2 + bx + c
Second, write out a=, b=, c=, which are a=-16, b=144, c=160
Third, plug a, b, & c into the equation for vertex which is t= -b/(2a) or t=-144/[2*(-16)], t=4.5.
Fourth, plug t=4.5 into the original equation H(t) = −16t^2 + 144t + 160, so H(4.5)=−16((4.5)^2) + 144(4.5) + 160 = -324 + 648 +160 = 484 feet
6х + Зу = 12
solve for y
Answer:
3.
Step-by-step explanation:
Rearrange to make it easier: 6*x+3*y-(12)=0
Find like factors and eliminate them: 6x + 3y - 12 = 3 x (2x + y - 4)
So then you get 3 = 0. So y would be 3.
-ax-20=-14
solve the equation
A large ice cream distributor wants to analyze the effect of season (winter, spring, summer, fall) on daily ice cream sales in dollars. How many independent variables does the manufacturer need to include in the multiple regression model?
Answer:
4
Step-by-step explanation:
The independent variable is the variable used to explain the dependent variable.
The researcher wants to know how the seasons (independent variable) affects ice cream sales (dependent variable).
The researcher would regress ice cream sales against each season. There are four seasons, so the independent variable would be four
graph: y-3= 1/2(x+2)
Answer:
slope: 1/2
y-intercept: 4
order the following from least to greatest: 2/5, 6%, 6, -5/4, 0, 25%
Answer:
-5/4 0 6% 2/5 25% 6
Step-by-step explanation:
converting all to decimal -
.4, .06, 6, -1.25, 0, .25
Ok so we need to turn these all into the same type of number.
I'm going to turn it into decimals.
2/5 = 4/10 = 40/100 = 0.40
6%=0.06
6=6.00
-5/4 = -125/100 = -1.25
0 = 0.0
25% = 0.25
So now we order from least to greatest.
0.4, 0.06, 6, -1.25, 0, 0.25
Since -1.25 is a negative number, it goes first.
All of them except for -1.25 and 0 are positive numbers so 0 goes next.
Now you could ignore the decimal point; 40, 6, 600, 25
From least to greatest it is; 6, 25, 40, 600
So the final order from least to greatest is; -1.25, 0, 0.06, 0.25, 0.4, 6
Or; -5/4, 0, 6%, 25%, 2/5, 6
♡ Hope this helped! ♡
❀ 0ranges ❀
Plz help ASAP!!!!!! Will mark brainliest
Answer:
D. 180cubic cm
Step-by-step explanation:
volume=h*w*L
V=6*5*6
v=180
An autonomous car is programmed to travel forty kilometers at an average speed of 40 km/hr. During the first 20 km, an average speed of 40 km/hr is maintained. During the next ten kilometers, however, the car averages only twenty km/hr. To drive the remaining ten kilometers and average 40 km/hr, the autonomous car must drive
Answer:
To cover the remaining ten kilometres and average 40 km/hr, the autonomous car must drive at infinite speed (light speed)
Step-by-step explanation:
The average speed = (The total distance)/(The total time taken)
The given parameters are;
The required average speed of the autonomous car = 40 km/hr
The average speed of the car during the first 20 km = 40 km/hr
The average speed of the car during the next 10 km = 20 km/hr
Therefore, we have;
The time taken = Distance/Speed
The time taken by the car during the first 20 km = 20 km/40 km/hr = 0.5 hour
The time taken by the car during the next 10 km = 10 km/20 km/hr = 0.5 hour
Therefore, the amount of time elapsed = 0.5 hour + 0.5 hour = 1 hour
The distance covered = 30 km
Which gives;
To drive the remaining distance of 10 km the car has 0 hour left,
The speed of the remaining 10 km must therefore be 10/0 = Infinite (speed).
To cover the remaining ten kilometres and average 40 km/hr, the autonomous car must drive at infinite speed.
Explain how u can decide where to place the first digit of the answer for 6,139 / 153
Answer:
The first digit would go in the tens place.
Step-by-step explanation:
First we estimate the approximate numbers. For 6130 we estimate 6000 and for 153 we estimate almost 150.
So dividing 6000 by 150 would give 40 .
The four would go in the ten's place .
Now check by dividing
40.1 So the answer is correct. The quotient is 40.12.
[tex]153\sqrt{6139}[/tex]
612
190
153
37
The first digit would go in the tens place.
The answer is justified. We can easily decide where to place the first digit.
Step-by-step explanation:
explain how you can decide where to place the first diget in the quotiont for 6,139÷135
In the following questions, look at different ways to represent the relation given by the equation y = x2 - 1. The table below shows some values for the given equation. Find the values of a and b.
Question: In the following questions, look at different ways to represent the relation given by the equation y = x2 - 1. The table below shows some values for the given equation. Find the values of a and b.
Answer:
a= 3
b= 0
The value of a and be will be three and zero respectively.
What is an equation?The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
We are given the quadratic equation as;
y = x² - 1
From the given table;
At x = -2, y = (-2)² - 1 = 3
At x = -1, y = 0
At x = 0, y = -1
At x = 1, y = 0
Now, from the values above, we can say that the first graph is the correct one that shows some values for the given equation.
Therefore, values of a and be will be three and zero respectively.
The complete question is given below:-
In the following questions, look at different ways to represent the relation given by the
equation y = x2 - 1.
The table below shows some values for the given equation. Find the values of a and b.
a =
b =
The table is attached with the answer.
Read more about Quadratic Function Graphs at; brainly.com/question/1523847
#SPJ5
12. Rice is sold in 75 gram packs and 120 gram packs.
The masses of both packs are given correct to the nearest gram.
Calculate the lower bound for the difference in mass between the two packs.
Answer:
44g
Step-by-step explanation:
Rice is sold in 75-gram packs and 120-gram packs.
74.5 to 75.5 119.5 to 120.5
lowest possible difference = 119.5 - 75.5 = 120-75-1 = 44g
I will Give BRAINLIEST!!!!!!!!
Answer:
2nd and 4th
Step-by-step explanation:
16.50÷6=2.75
So the second one is true.
12x2.75=33
So the fourth one is true.
Answer:
The first and fourth statements are true.
Step-by-step explanation:
We know that 6 pounds of blueberries costs $16.50 so 1 pound costs 16.5 / 6 = $2.75. Therefore, the first statement is true. The second statement can't be true because this is a direct proportion. In a direct proportion, when one variable increases, the other increases as well so the price of 2.75 pounds can't be less than the price of 1 pound. The cost of 5 pounds is 2.75 * 5 = 13.75 so the third statement is false. The cost of 12 pounds will be 2.75 * 12 = 33 so the fourth statement is true. The cost of 3 pounds is 2.75 * 3 = 8.25 so the fifth statement is false.