Answer:
l
Step-by-step explanation:
3 (x - 2) = 2 (x - 3)
Answer:
x = 0
Step-by-step explanation:
Given equation to us is ,
[tex]\sf\implies 3 (x - 2 ) = 2( x - 3 )[/tex]
And we need to find out the value of x.
Step 1 : Open the parentheses :-
[tex]\sf\implies 3x - 6 = 2x - 6 [/tex]
Step 2: Put all variables on one side :-
[tex]\sf\implies 3x - 2x = -6+6 [/tex]
[tex]\sf\implies\boxed{\bf x = 0 }[/tex]
There are 24 students in a class. Three new students join the class. Work out the percentage change in the number of students in the class.
Answer:
12.5% increase
Step-by-step explanation:
To find the percentage increase ( students joined)
Take the new number minus the original amount
There are 27 students in the class after 3 joined
27 - 24 = 3
Divide by the original amount
3/24 = 1/8 = .125 = 12.5%
Answer:
12.5%
Step-by-step explanation:
Intial number = 27
Final number = 24 + 3 = 27
Percentage change :-
% change = 3/24 × 100 % change = 100/8 % Change = 25/2 % change = 12.5 %5 + 3bc =
9a + b =
cd + bc =
Answer:
You can't answer these questons
sorry
Hope This Helps!!!
Can someone help me with this math homework please!
The distance traveled depends on the amount of time Marlene rides her bike
The function f(t) = 16t represents the scenario
Answer:
options (2), (3) and (5)
Step-by-step explanation:
2.
the distance traveled depends upon the amount of time she rides her bike.
as she travels 16 miles in 1 hr. she'll ride 32 miles in 2 hrs. so all values of distance traveled by her depends upon the time she takes.
3.
yes the initial is 16 miles per hour as the output of 1hr will be 16 and that's what the initial value is 16 miles for one hour. or 16 miles per hour.
5.
f(t) = 16t represents the scenario
where f(t) will be the output of the function that is d, distance when the output is t that is time.
The Fun Committee is hosting the Annual City Festival. Jennifer is in charge of the committee and is planning a race to raise money for the Festival. The runners will earn money from donors for the number of miles they run. If the runners start at the park, run to City hall, and then run back to the park, how many total miles will each runner run? Show your work and leave your answer in simplest radical form if necessary.
Answer: [tex]6\sqrt{5}[/tex] miles
This is the same as writing 6*sqrt(5) miles
==========================================================
Work Shown:
P = park
C = city hall
Point P is at the location (10,11)
Point C is at the location (7,5)
Apply the distance formula to find the length of segment PC
[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(10-7)^2 + (11-5)^2}\\\\d = \sqrt{(3)^2 + (6)^2}\\\\d = \sqrt{9 + 36}\\\\d = \sqrt{45}\\\\d = \sqrt{9*5}\\\\d = \sqrt{9}*\sqrt{5}\\\\d = 3\sqrt{5}\\\\d \approx 6.7082039\\\\[/tex]
The exact distance between the park (P) and city hall (C) is [tex]3\sqrt{5}[/tex] miles.
This doubles to [tex]2*3\sqrt{5} = 6\sqrt{5}[/tex] miles because the runners go from P to C, then back to P again. In other words, they run along segment PC twice. This is assuming there is a straight line road connecting the two locations.
Extra info:
[tex]6\sqrt{5} \approx 13.41641[/tex] so the runner travels a total distance of roughly 13.4 miles.
College national study finds that students buy coffee from a coffee shop on average 12 times a week, I believe it may be different for UML students. I collect data from a sample of 36 UML students and find that they buy coffee on average 8 times a week, with a standard deviation of 6 days. What is the T value for this data, and can you reject the null?
Answer:
The t-value for this data is -4.
The p-value of the test is 0.0003 < 0.05, which means that the null hypothesis can be rejected.
Step-by-step explanation:
College national study finds that students buy coffee from a coffee shop on average 12 times a week, I believe it may be different for UML students.
At the null hypothesis, we test if the mean is of 12, that is:
[tex]H_0: \mu = 12[/tex]
At the alternative hypothesis, we test if the mean is different of 12, that is:
[tex]H_1: \mu \neq 12[/tex]
The test statistic is:
We have the standard deviation for the sample, so the t-distribution is used to solve this question.
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation and n is the size of the sample.
12 is tested at the null hypothesis:
This means that [tex]\mu = 12[/tex]
I collect data from a sample of 36 UML students and find that they buy coffee on average 8 times a week, with a standard deviation of 6 days.
This means that [tex]n = 36, X = 8, s = 6[/tex]
Value of the test statistic:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{8 - 12}{\frac{6}{\sqrt{36}}}[/tex]
[tex]t = -4[/tex]
The t-value for this data is -4.
P-value of the test:
Considering a standard significance level of 0.05.
Test if the mean is different from a value, so two-tailed test, with 36 - 1 = 35 df and t = -4. Using a t-distribution calculator, the p-value is of 0.0003.
The p-value of the test is 0.0003 < 0.05, which means that the null hypothesis can be rejected.
Find the area in km2. Round answer to the nearest tenth if necessary
Area of a triangle formula: 1/2 x base x height
Area = 1/2 x 2 x 3.8
Area = 3.8 square km
Answer:
The area of triangle = 3.8km²
Step-by-step explanation:
Given :-
A triangle having length of base is 2km and length of height is 3.8km.
To find :-
Area of triangle.Solution :-
We know that ,
Area of triangle = ½ × Base × height
Substitute the values.Area of triangle = ½ × 2km × 3.8km
Multiply 2km by 3.8km.Area of rectangle = ½ × 7.6km²
Divide by 2 .Area of triangle = 3.8km²
A survey asked people of different ages whether they get their news by
reading the paper. What is the probability that a person surveyed is 40 or
above, given that he or she gets the news by reading the paper? If necessary.
round your answer to the nearest percent.
Answer:
A) 60%
Step-by-step explanation:
24/40
= 0.6
0.6*100
= 60%
I really hope this is right and it helps.
A mixture contains nothing biet water and are tone in a ratio of stof 1.2. After 2oom of water is added to the mixture, the ratio of water to acetone He is 2:3. The original volume of the mixture is
Answer:
Step-by-step explanation:
PLEASE ANSWER IT CORECTLY
Answer:
Q24=A
25=B
26=A
Step-by-step explanation:
Wavelength varies inversely with frequency. Let k be the product of wavelength and frequency. Complete the table using the inverse variation relationship.
Answer:
Wavelength varies inversely with frequency.
Step-by-step explanation:
Wavelength varies inversely with frequency.
[tex]\lambda\propto \dfrac{1}{f}\\\\\lambda=\dfrac{k}{f}\\\\\lambda f=k[/tex]
Where
k is the constant and it is equal to the product of wavelength and frequency. It means when wavelength increases, the frequency decreases and vice versa.
Can someone please help with 5x-4<10
Answer:
Step-by-step explanation:
5x-4<10
or, 5x<14
or, x<14/5
so, x<2.8
[tex]\displaystyle\bf 5x-4<10\\\\5x<14\\\\\boxed{x<2,8} \\\\Answer: x<2,8\quad or \quad x\in(-\infty;2,8)[/tex]
Select the complete subject of the sentence below. Brandon planned to win the race. Brandon planned Brandon planned to win Brandon planned to win the race Brandon
Answer:
i cant even process this.
Step-by-step explanation:
If x < 0 and y < 0, what guadrant is the point (x, y) located
Answer: Third quadrant
This can be written as Q3 or QIII
This quadrant is in the southwest.
===========================================
Explanation:
There are 4 quadrants on the xy plane. They are separated by the x and y axis. Think of it like 4 separate rooms.
The first quadrant Q1 is located in the northeast where x > 0 and y > 0. Both x and y are positive together. An example point from this region would be something like (5,2)The second quadrant, Q2 or QII, is in the northwest. An example point from here is (-5,2). We can see that x < 0 and y > 0.The third quadrant (Q3) is where both x and y are negative. So x < 0 and y < 0. An example point would be (-5,-2). This quadrant is in the southwest.Finally, if x > 0 and y < 0, then we're in the southeast quadrant Q4. An example point is (5,-2)As you can see, the quadrants move in a counterclockwise fashion when going from Q1 to Q2 to Q3 to Q4.
Quadrants 1 and 4 have x,y that are the same sign together. Either they're both positive together, or they're both negative together. Quadrants 2 and 3 have x,y as opposite signs (one is positive and the other is negative).
PLZ I NEED ANSWER I GIVE BRAINLIEST TO FIRST ANSWER RIGHT
Answer:
B. Point B
Step-by-step explanation:
Rab has trouble remembering the difference between addition of a positive and
negative number and multiplication of a positive and negative number. Explain how
you could clarify the concepts for him. Use an example to back up your explanation.
Addition of a positive and negative number always means that you are going to subtract the number e. g. 4+-1 = 3. However, multiplication of a positive and negative number means the answer is always negative e. g. 5 x - 3 = - 15.
The addition of positive and negative number will always subtract with sign of maximum value.
The multiplication of positive and negative number will have a negative sign always.
AdditionConcept for the addition of positive and negative numberWhen two numbers which have different sign are added, they will always be subtracted from each other. The sign will vary accordingly.
with negative sign: when two numbers are added such that the number with negative sign has the larger value, then both numbers will get subtracted but with negative sign.Example: Consider two number -5 and 4
= -5 + 4
= -1
Here, 5 is the larger value. So, the sign comes is negative.
with positive sign: when two numbers are added such that the number with positive sign has the larger value, then both numbers will get subtracted but with positive sign.Example: consider two number 5 and -4.
= 5 + (-4)
= 1
Here, 5 is the large number. So, the sign comes is positive.
MultiplicationConcept for the multiplication of positive and negative number:When two numbers with opposite signs are multiplied, the answer is always a negative number.
Example; Consider two numbers 4 and -5.
On multiplication,
4×(-5) = -20
Thus, the multiplication of two numbers with different signs will always give a negative number.
To know more about rational and irrational numbers, here
https://brainly.com/question/5796983
#SPJ2
Finish solving the system of equations –9.5x – 2.5y = –4.3 and 7x + 2.5y = 0.8 using the linear combination method.
1. Determine which variable will be eliminated: y will be eliminated because –2.5y and 2.5y are opposite terms.
2. Add the equations together to create a one-variable linear equation: –2.5x = –3.5
3. Solve to determine the unknown variable in the equation: x = 1.4
4. Substitute the value of the variable into either original equation to solve for the other variable.
The solution to the system is (
9514 1404 393
Answer:
(x, y) = (1.4, -3.6)
Step-by-step explanation:
4. We choose to substitute into the second equation because it has positive coefficients.
7(1.4) +2.5y = 0.8
9.8 +2.5y = 0.8 . . . . simplify
2.5y = -9.0 . . . . . . . subtract 9.8
y = -3.6 . . . . . . . . . . divide by 2.5
The solution to the system is (x, y) = (1.4, -3.6)
Arrange the numbers as they appear from left to right on a horizontal number line.
2.85
-1.58
-2.5
-1.85
-2.57
-2.76
2.5
Answer:
-2.76, -2.57, -2.5, -1.85, -1.58, 2.5, 2.85
solve for x round to the nearest tenth of a degree,if necessary.
Answer:
Solution given:
Cos X=Adjacent/hypotenuse
Cos X=6.5/8.4
x=Cos-¹(6.5/8.4)
x=39.3°
The graph below shows the solution to which system of inequalities?
10-
TO
10
-10
On the unit circle, which of the following angles has the terminal point
coordinates.
A. 45
B. 135
C. 225
D. 315
Answer: C. 225
Step-by-step explanation:
pls can anyone solve this step by step
Answer:
factorize first
16x^3y^2=2×2×2×2×x×x×x×y×y
24x^2y^3=2×2×2×3×x×x×y×y×y
take common=2×2×2×x×x×y×y
=8x^2y^2 which is the write answer
The velocity of a car over five hours is given by v(t) = 60 ln(t + 1), 0 < t < 5
in kilometers per hour. What is the total distance traveled from t = 0 to t = 5?
Round your answer to the nearest whole number and do not include units.
Answer:
345
Step-by-step explanation:
The velocity of a car over five hours is given by:
[tex]\displaystyle v(t)=60\ln(t+1),\, 0 \leq t \leq 5[/tex]
And we want to find the total distance traveled from t = 0 to t = 5.
Recall that distance is the integral of the absolute value of the velocity function. Since we want to find the total distance traveled from t = 0 to t = 5, our limits of integration are t = 0 and t = 5. Hence:
[tex]\displaystyle D=\int_0^5 |\underbrace{60\ln(t+1)}_{v(t)}|\, dt[/tex]
Since v(t) ≥ 0 for all t in the interval [1, 5], we can remove the absolute value. Use a calculator:
[tex]\displaystyle D=60\left(6\ln(6)-5)=345.0334...\approx 345[/tex]
FACTOR....
x^2 + 10× - 2400 = 0
Answer:
x= -5 + 5[tex]\sqrt{97}[/tex], x= -5 - 5[tex]\sqrt{97}[/tex]
Step-by-step explanation:
Since this quadratic is set to zero, we can use the quadratic formula to solve this.
x^2 + 10x - 2400 = 0
Quadractic formula = x= -b +- [tex]\sqrt{b^2 - 4ac}[/tex] /2a
For this equation:
a= 1, b=10, c=-2400
Plug these numbers into the equation and solve.
x= -10 +- [tex]\sqrt{10^2 - 4(1)(-2400}[/tex])/2(1)
x= -10 +- [tex]\sqrt{100 + 9,600}[/tex]/2
x= -10 +- [tex]\sqrt{9,700}[/tex]/2
x= -10 +- [tex]\sqrt{2^2 * 5^2 * 97}[/tex]/2
x= -10 +- 5 * 2[tex]\sqrt{97}[/tex]/2
x= -10 +- 10[tex]\sqrt{97}[/tex] / 2
Divide by 2.
x= -5 +- 5[tex]\sqrt{97}[/tex]
Answer:
x= -5 + 5[tex]\sqrt{97}[/tex] or x= -5 - 5[tex]\sqrt{97}[/tex]
Difference between DIRECT and INDIRECT ratio?
Step-by-step explanation:
In a direct proportion, the ratio between matching quantities stays the same if they are divided. (They form equivalent fractions). In an indirect (or inverse) proportion, as one quantity increases, the other decreases. In an inverse proportion, the product of the matching quantities stays the same.
Answer:
Both direct and indirect proportion are a comparison between two quantities (usually with different units).
In a direct proportion, as one quantity increases, the other also increases.
Examples would include:
If you buy more packets, it will cost more money.
If you have further to travel it will take more time.
If more people are to be fed, more food will be need.
If more people are to be transported, more cars/buses are needed.
More petrol is needed for longer distances.
Bigger area of floor will require more tiles/paint/wood.
A longer distance will need more paces to cover.
More dresses to be made will require more material.
In a direct proportion, the ratio between matching quantities stays the same if they are divided. (They form equivalent fractions).
k
=
x
y
In an indirect (or inverse) proportion, as one quantity increases, the other decreases.
If more people share a task, it will be done in less time.
Travelling at a faster speed means a trip will take less time.
If sugar is packed in smaller packets, more packets will be needed for the same mass.
For the same amount of money, a small parcel can be sent further than a bigger parcel.
If more people are being fed, food will be used up quicker.
For a fixed amount of money, as the price of presents increases, fewer can be bought.
Walking with longer strides means fewer paces are needed.
In an inverse proportion, the product of the matching quantities stays the same.
k
=
x
×
y
A hyperbola is the graph of inverse proportion.
Step-by-step explanation:
, .
A farmer wants to fence in a rectangular plot in a large field, using a rock wall which is already there as the north boundary. The fencing for the east and west sides of the plot will cost $4 a yard, but the farmer needs to use special fencing which cost $5 a yard on the south side of a plot. If the area of the plot is to be 600 square yards, find the dimensions for the plot which will minimize the cost of the fencing.
Hello,
Let's assume x the length of the north's wall
and y the length of west side .
Area:x*y=600 ==> y=600/x
Cost: 2*y*4+5*x=8y+5x= 4800/x+5x
Minimize cost: (4800/x+5x)'=0
-4800/x²+5=0
x²=4800/5
x²=960
[tex]x=8\sqrt{15} \\\\y=5\sqrt{15} \\[/tex]
Unit Test Unit Test Active 1 2 3 4 5 6 7 CO Given fix) = 17- x2, what is the average rate of change in f(x) over the interval [1, 5]? -6, -1/2, 1/4, 1
Answer:
Step-by-step explanation:
Average rate of change is the same thing as the slope. This is a quadratic so the slope is not something that is constant like it is in a line. Here you have the x coordinates of 1 and 5; each one of these x coordinates has a y coordinate that goes with it. If we draw a line from one of these coordinates to another, that line will have a slope. That is the slope we are trying to find. Thus, we need the y coordinates that go with each of these x coordinates. To do that, plug x into the equation and do the math to find y:
Let's start with x = 1.
f(1) = [tex]17-(1)^2[/tex] so
f(1) = 16 and the coordinate is (1, 16).
f(5) = [tex]17-(5)^2[/tex] so
f(5) = -8 and the coordinate is (5, -8). Now we apply the slope formula:
[tex]m=\frac{-8-16}{5-1}=\frac{-24}{4}=-6[/tex] So the answer is -6.
Dan was thinking of a number. Dan doubles it and gets an answer of 34.7. What was the original number?
I need help with my math!!!
Answer:
The correct answer is y = | x + 6 |
What is the X and Y?