Answer:
Step-by-step explanation:
(a). 2t² - 9t + 28 = 46 ⇔ 2t² - 9t - 18 = 0
(b). (2t + 3)(t - 6) = 0
(c). t = 6
(d). 1990 + 6 = 1996
Please answer this correctly without making mistakes
Answer:
First figure out how many cups are in a gallon. 16 .
Next multiply 16×3= 48
Finally you divide price per cup or 20.16/ 48.
The cost is .42 cents per cup.
A car traveled 480 miles in 4 hours. If its speed was 12 mph faster, what distance would it have traveled in 4 hours?
Answer:
528 miles
Step-by-step explanation:
First, we need to figure out how many miles it drives in 1 hour:
480 divided by 4 = 120
now, we add 12 to 120: 120 + 12 = 132
132 x 4 = 528
hope this helped have a great day/night!! :'')
Is 319,459 divisible by 2?
yes
no
Submit
Answer:
no
Step-by-step explanation:
319,459 is not an even number
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Plzz Due today!
The table below represents a linear function f(x) and the equation represents a function g(x): (See pic)
Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x).
Part B: Which function has a greater y-intercept? Justify your answer.
Answer: The table below represents a linear function f(x) and the equation represents a function g(x): x f(x) −1 -12 0 -6 1 0 g(x) g(x) = 2x + 6 Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x).
PART B: y=mx +b is slope intercept form of linear equation where m=slope and b =y intercept
slope for line for function f(x) =-5-(-1) / -1-0 =-5+1/-1=-4/-1=4
y = 4x+b
3=4(1)+b
3=4+b
-1 =b
y=4x-1
f(x)=4x-1 slope = 4
g(x)=2x -7 slope = 2
b) y intercept for f(x) is -1
and g(x) is -7
so f(x) is having greater y intercept
The manufacturer of a certain brand of lightbulbs claims that the variance of the lives of these bulbs is 4100 square hours. A consumer agency took a random sample of 26 such bulbs and tested them. The variance of the lives of these bulbs was found to be 5900 square hours. Assume that the lives of all such bulbs are (approximately) normally distributed. Test at the 20% significance level whether the variance of such bulbs is different from 4100 square hours. a)The value of the test statistic x is 15.743; we fail to reject the null hypothesis. b)The value of the test statistic x is 32.859; we fail to reject the null hypothesis. c)The value of the test statistic y is 32.859; we reject the null hypothesis. d)The value of the test statistic is 35.976; we fail to reject the null hypothesis. e)The value of the test statistic is 15.743; we reject the null hypothesis. f)The value of the test statistic x is 35.976; we reject the null hypothesis.
Answer:
124345
Step-by-step explanation:
Use separation of variables to find, if possible, product solutions for the given partial differential equation. (Use the separation constant −λ ≠ 0. If not possible, enter IMPOSSIBLE.)
k∂^2u/∂x^2 - u = ∂u/∂t, k>0
Answer:
Following are the solution to this question:
Step-by-step explanation:
differentail equation:
[tex]yu_{xy} + u = 0..........(1)[/tex]
when [tex]u(x,y) = X(x)Y(y)[/tex]
[tex]u_x = \frac{\partial u}{\partial x} X'Y' \\\\ u_{xy} = \frac{\partial^2 u }{ \partial x\ \partial y}= X'Y'[/tex]
by substituting the value we get:
[tex]\to \int \frac{Y'}{Y} = -\lambda \int \frac{1}{y} dy\\\\[/tex]
by solving the value:
[tex]\to Y=c_3 y^{-\lambda}\\\\\therefore\ \ c_4=c_2C_3\\\\\to u(x,y) = c_4 e^{\frac{x}{\lambda}} y^{-\lambda}[/tex]
The solution of the given partial differential equation will be
[tex]u(x,y)=c_4e^\frac{x}{\lambda}y^{-\lambda}[/tex]
What is partial differential equation?The partial derivative is a way to find the slope in either the x or y direction, at the point indicated.
[tex]yu_{xy}+u=0..............................(1)[/tex]
Now if [tex]u(x,y)=X(x)Y(y)[/tex]
[tex]u_x=\dfrac{\partial u}{\partial x} X'Y'[/tex]
[tex]u_{xy}=\dfrac{\partial^2u}{\partial x\ \partial y}=X'Y'[/tex]
by substituting the value, we get:
[tex]\int \dfrac{Y'}{Y}=-\lambda\int\dfrac{1}{y}dy[/tex]
by solving the value:
[tex]Y=c_3y^{-\lambda}[/tex]
[tex]c_4=c_2c_3[/tex]
[tex]u(x,y)=c_4e^\frac{x}{\lambda}y^{-\lambda}[/tex]
Hence the solution of the given partial differential equation will be
[tex]u(x,y)=c_4e^\frac{x}{\lambda}y^{-\lambda}[/tex]
To know more about partial differential equation follow
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8. Two alarms ring simultaneously
3am in the morning. The first alarm rings every 20
minutes while the second alarm rings
every hour. What time will the two alarms
ring at the same
time for the third time?
briefly explain the advantages and disadvantages of using a repeated-measures design as opposed to an independent-measures design
Answer:
The advantages as well as drawbacks of repeated measures are described below, as opposed to individual measures.
Step-by-step explanation:
A drawback though is that the respondents would be included in the analysis for some of the circumstances throughout the trial within the replicated measurement method, while different interventions should be included in the research for varying environments throughout the independent measure model.Some other benefit of using this design would be that all assessments have always had similar participants, therefore fewer sample participants have required again for research, although the independent measure needs further respondents. Comparison to just the independent calculation, the price for the replicated calculation is higher even though the same subjects are used in the analysis for different circumstances.How many solutions exist for the system or equations graphed below
Answer:
One
Step-by-step explanation:
The solutions to a system of equations are where the lines intersect. This system will only ever intersect once, therefore there is only one solution. You can see the solution at the top right.
The number of solutions that exists for the given system of equations is one.
What does a System of Linear Equations define?Linear equations involve one or more expressions including variables and constants and the highest exponent of the variable is 1.
System of linear equations involve two or more linear equations.
Given a graph of a system of equations.
The graph consists of two lines. So they are linear functions.
A system of linear equations can have one or infinitely many solutions and no solutions at all.
Solution of a system is the intersection point of the graph.
Here there is only one intersection point.
Hence the number of solutions is 1.
Learn more about System of Equations here :
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9. The expression x(x-7)+4(x-7) is equivalent to each of the following except which choice?
(1) (x+4)(x-7)
(3) x2-28
(2) x2 – 3x – 28
(4) (x-7)(x+4)
Answer:
I the answer is number 3
x(x-7)+4(x-7)
x²-7x + 4x-28
=x²-3x-28
(x+4)(x-7)
x²-7x+4x-28
=x²-3x-28
(x-7)(x+4)
x²+4x-7x-28
=x²-3x-28
x2 – 3x – 28
the factored form is
=(x+4)(x-7)
LOGIC In an asteroid field, 75% of the asteroids are carbonaceous asteroids. There are 375,000 carbonaceous asteroids in the asteroid field. How many asteroids are not carbonaceous?
_________ asteroids are not carbonaceous.
Answer:
?
Step-by-step explanation:
375000 asteroids are not carbonaceous.
What is the percentage?The ratio of two numbers that has no dimensions is what is known as a percentage. It may be used to determine how much one number exceeds another when comparing two figures, or it is used to compare the two statistics to a uniform grid.
The information provided is:
LOGIC Seventy-five percent of the asteroids during an asteroid field are carbonaceous asteroids.
The asteroid field contains 375,000 carbonaceous asteroids.
Asteroid fields are carbonaceous asteroids and will be calculated as:
= 375000 × 3
= 1125000
The asteroids that are not carbonaceous will be
= 75% of 1125000
= 375000
Learn more about percentage, here:
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what is the slope of an equation of the line that passes through the point (3,-5) and has a slope of 0
Answer:
y=0x-5
Step-by-step explanation:
hope this helps :3
if it did pls mark brainliest
1+3 pls help me nowwwww
Answer:
4
Step-by-step explanation:
3=1+1+1,
1+1+1+1=4 :p
The area of a rectangular parking lot is 4947 m2.
If the length of the parking lot is 97 m, what is its width?
Width of the parking lot:
The perimeter of a rectangular pool is 304 m.
If the width of the pool is 68 m, what is its length?
Length of the pool:
Answer:
1. width = 51 m
2. length = 84 m
Step-by-step explanation:
So remember, the area is (length * width).
It is given that the length is 97, and the area is 4947.
So plug this into a formula:
length * width = area
97 * width = 4947
Solve using inverse operations;
97 * width = 4947
/97 /97
width = 51m
The perimeter of a rectangle can be found by doing, (2 * (length + width)).
The width is given, it is 68m. The perimeter is also given, 304m. So just form an equation using this information:
2 * ( length + width) = perimeter
2 * (length + 68 ) = 304
Distribute;
2 * ( length + 68) = 304
2 length + 136 = 304
Inverse operations;
2length + 136 = 304
-136 -136
2length = 168
/2 /2
length = 84m
Answer:
The answer for number 1 is width = 51 m
The answer for number 2 is length = 84 m
Step-by-step explanation:
Is [tex]\sqrt{103}[/tex] irrational or rational? What is your reasoning?
Answer: irrational
Step-by-step explanation:
[tex]\sqrt{103}[/tex] is an irrational number because it is not a perfect square. Irrational numbers keep on terminating, so the answer to the question is irrational.
Hope this helps you!
If x= time in minutes, y= distance in miles, and y=1/6x. How far can you run 5 points
in 3 hours? Please please help
Answer: 30 miles
Step-by-step explanation:
3 hours is 180 minutes.
y=1/6(180)
y=30 mi
2/3p+3. p=3/5
What is the Answer to what
Step-by-step explanation:
2/3p+3
where p=3/5
substitute p into 2/3p + 3
2/3(3/5) + 3
2/(9/5) + 3
10/9 + 3
10+3)/9
13/9
1 4/9
Whoever does will get brainiest. And extra points
A person can walk at a rate of 2 ½ miles per hour. How long would it take the person to walk 10 miles? *
1 point
15 minutes
4 hours
10 hours
25 hours
2. A certain map uses a scale of 1 inch equals 25 miles. How many miles are represented by 5 inches on this map? *
1 point
5
25
50
125
3. A company makes 5 blue cars for every 3 white cars it makes. If the company makes 15 white cars in one day, how many blue cars will it make? *
1 point
9
13
17
25
4. Miranda enlarged a picture proportionally. Her original picture is 4cm wide and 6 cm long. If the new, larger picture is 10 cm wide, what is its length? *
1 point
8 cm
12 cm
15 cm
20 cm
5. The practice range at a golf course charges $4.00 for a bucket of 40 golf balls. At this rate, how much will a bucket of 100 golf balls cost? *
1 point
$10.00
$10.50
$13.50
$16.00
6. A model of a park was built on a scale of 1.5 cm to 50 m. If the distance between two trees in the park is 150m, what is this distance on the model? *
1 point
0.5 cm
4.5 cm
75 cm
225 cm
7. Jerry read a 200 page book in 10 hours. At that rate, how long will it take him to read a 320 page book? *
1 point
16 hours
18 hours
24 hours
32 hours
PLEASE HELP MEEEEE!!!!!!!!!
Answer:
Value of slope is -2 and y-intercept is 1
Step-by-step explanation:
We can see that the values in the table have a linear relationship.
A linear function is a straight line written as:
y = mx+b
Here,
m is the slope and b is the y-intercept
The slope is calculated by:
[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
We can take any two consecutive pairs in the table to calculate the slope.
Taking first two input-output pairs.
(x1,y1) = (-3, 7)
(x2,y2) = (-2, 5)
Putting the values
[tex]m = \frac{5-7}{-2+3}\\m= -2[/tex]
Putting the value of m in the general form
[tex]y = -2x+b[/tex]
To find the value of b, we will put any pair of input-output (x,y) in the equation
Putting the first pair
[tex]7 = -2(-3) +b\\7 = 6 + b\\b = 7-6\\b = 1[/tex]
Hence,
Value of slope is -2 and y-intercept is 1
21947÷205 divide and check the result
Answer (3dp):
107.058
Step-by-step explanation:
(image is explanation)
13,84,85 are the last ones please help
Answer:
49,36,85
Step-by-step explanation:
c in step 4 comes from step 3... 49+36
a and b in step 3 come from step 2... in the same (you've got a - b and then 7 squared - 6 squared, so a is 49 and b is 36
Which of these points is closest to the point (7,1)?
Answer:
6,7
Step-by-step explanation:
Terdapat tiga bikar iaitu A, B dan C. Isipadu air didalam bikar C adalah dua
kali ganda isipadu air dalam bikar B. Selepas itu,
[tex] \frac{1}{4} [/tex]
daripada isipadu di dalam
bikar A dituang kedalam bikar B dan baki dituang kedalam bikar C. Isipadu
didalam bikar B dan C seterusnya masing-masing menjadi 400ml dan
1000ml. Apakah isipadu bikar A, B dan C sebelum air di dalam bikar A
dituang ke dalam bikar B dan C.
What is 50 decreased by 50%
Answer:
25
Step-by-step explanation:
50% (1/2) of 50 is 25
50-25=25
Answer:
i 100% sure it 25
Step-by-step explanation:
∠7 and angle ______ are supplementary??
a.)∠5 W
b.)∠13 K
Answer:
b angle 13
Step-by-step explanation:
I'm pretty sure
Answer:
a). ∠5
Step-by-step explanation:
both angles ∠7 and ∠5 together add up to 180°
Slope for (20,8)(9,16)?
Answer:
m=-8/11
Step-by-step explanation:
[tex]\frac{Y2-Y1}{X2-X1} =\frac{y}{x}[/tex]
[tex]\frac{16-8}{9-20} =\frac{-8}{11}[/tex]
A farmer harvested 35 acres of corn and 20 acres of beans. Animals ate 18
of the corn he originally planted. How many acres of corn did the farmer plant?
{ vowels in the word ALGEBRA}
Answer:
3 counting ALL VOWELS, or, 2 counting no double ups
Step-by-step explanation:
vowels - a, e, i, o, u
UH HELP- KAKAKAKAKAJAJ
Answer:
x=1 .................