Answer:
169 is 13^2
24 is 2(squareroot)6
15 is (squareroot)15
40 is 2(squareroot)10
Step-by-step explanation:
169 is 13^2
24 is 2(squareroot)6
15 is (squareroot)15
40 is 2(squareroot)10
Use the quadratic formula, x=−b±b2−4ac√2a, to solve the equation −2x2−6x+3=0. Match each step to the correct method for solving the equation.
Answer:
[tex]\displaystyle x=\frac{-3+ \sqrt{15}}{2}\approx0.4365\text{ or}\\x=\frac{-3-\sqrt{15}}{2}\approx-3.4365[/tex]
Step-by-step explanation:
We are given the equation:
[tex]-2x^2-6x+3=0[/tex]
And we want to solve it using the quadratic formula:
[tex]\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
First, let's identify our coefficients.
The a is the coefficient in front of the x² term, so a = -2.
b is the coefficient in from of the x term, so b = -6.
And c is the constant so c = 3.
Substitute:
[tex]\displaystyle x=\frac{-(-6)\pm \sqrt{(-6)^2-4(-2)(3)}}{2(-2)}[/tex]
Simplify. -(-6) is just 6. (-6) squared is 36. -4(-2)(3) is 24. And 2(-2) is -4. So:
[tex]\displaystyle x=\frac{6\pm \sqrt{36+24}}{-4}[/tex]
Add:
[tex]\displaystyle x=\frac{6\pm \sqrt{60}}{-4}[/tex]
Simplify the square root:
[tex]\sqrt{60}=\sqrt{4\cdot 15}=\sqrt{4}\cdot\sqrt{15}=2\sqrt{15}[/tex]
So:
[tex]\displaystyle x=\frac{6\pm 2\sqrt{15}}{-4}[/tex]
Simplify by dividing everything by 2:
[tex]\displaystyle x=\frac{3\pm \sqrt{15}}{-2}[/tex]
Move the negative in the denominator to the numerator. The plus/minus sign will not change.
[tex]\displaystyle x=\frac{-3\pm \sqrt{15}}{2}[/tex]
So, our zeros are:
[tex]\displaystyle x=\frac{-3+ \sqrt{15}}{2}\approx0.4365\text{ or}\\x=\frac{-3-\sqrt{15}}{2}\approx-3.4365[/tex]
WILL AWARD BRAINLIEST. How many gallons of water fill a tank that is 16.5 ft long, 7.5 ft wide, and 8 ft high? Assume 1 ft3 is 7.5 gallons of water.
Answer:
7,425 gallons of water
Step-by-step explanation:
Given:
A tank of,
Length = 16.5 ft
Width = 7.5 ft
Height = 8 ft
1 ft³ = 7.5 gallons of water
Required:
Gallons of water that will fill the tank
SOLUTION:
Find the volume of the tank:
Volume of the tank = length*width*height
Volume = 16.5*7.5*8 = 990 ft³
Convert 990 ft³ to gallons of water:
1 ft³ = 7.5 gallons
990 ft³ = [tex] 990*7.5 [/tex]
= 7,425 gallons of water
7,425 gallons of water will fill the tank of the given measurement.
Amount of water in tank is 7,425 gallon
Volume base question:Given that;
Sides of tank = 16.5 ft, 7.5 ft, 8 ft
1 ft³ = 7.5 gallon
Find:
Amount of water in tank
Computation:
Volume of tank = [(16.5)(7.5)(8)]
Volume of tank = 990 ft³
Amount of water in tank = [Volume of tank][7.5]
Amount of water in tank = [990][7.5]
Amount of water in tank = 7,425 gallon
Find out more information about 'Volume'.
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Two joggers left Delhi for Noida simultaneously. The first jogger stopped 42 min later when he was 1 km short of Noida and the other one stopped 52 min later when he was 2 km short of Noida. If the first jogger jogged as many kilometers as the second, and the second as kilometers as first, the first one would need 17 min less than the second. Find the distance between Delhi and Noida?
Answer:
15km
hope this helps!
What is the distance between the points A(6,5) and B(0,13)?
Stephen Curry plays for the Golden Gate Warriors and touts a 90% free throw shooting record. If he shot 12 free throws in a game, approximately how many did he miss?
Answer:
10
Step-by-step explanation:
Because it is 90% and he shots 12 how much fat away is 90 for 100 it is 10
Maggie's brother is 3 years younger than twice her age. The sum of their ages is 36. How old is Maggie? Maggie is years old.
Answer:
Maggie is 13 years old.
Step-by-step explanation:
Maggie's age is: x
Maggie's brother's age is: 2x - 3
The sum of the ages = 36
x + 2x - 3 = 36
3x - 3 = 36
3x = 39
x = 13
Answer: Maggie is 13 years old.
What is the solution to this equation?
–14x = 70
A.x = –5
B.x = 5
C.x = 84
D.x = –84
Answer:
x = − 5
Step-by-step explanation:
Divide each term by − 14 and simplify.
Answer: x =5
Step-by-step explanation:
14x/14= 70/14
X = 5
Find an equation of a line with slope m=−2/5 that contains the point (10,−5). Type your answer is slope-intercept form.
The equation of a line in slope intercept form with slope (-2/3) and point (10,-5) is y = (-2/3) - 1.
What is the slope?The slope is the rate of change of y-axis with respect to x-axis.
We know that equation of a line in slope intercept form is y = mx + b.
To find the y-intercept b we will substitute the value of m and point (x,y).
∴ The equation of the line in slope intercept form with slope -2/5 and points (10,-5) is,
-5 = -(2/5)×10 + b.
-5 = -4 + b.
b = -1.
So the given equation of the line is y = (-2/3)x - 1.
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(1+3d)9
Can someone help me find the distribute this
Answer:
D = 5
Step-by-step explanation:
1 plus 3 equals 4 plus 5 equals 9
State the domain and range and determine if its a function
Answer:
The first element of a set which is linked with the element of second set is called domain.
The element of second set is known as range.
Answer:
When functions are first introduced, you will probably have some simplistic "functions" and relations to deal with, usually being just sets of points. These won't be terribly useful or interesting functions and relations, but your text wants you to get the idea of what the domain and range of a function are. Small sets of points are generally the simplest sorts of relations, so your book starts with those.
for example
State the domain and range of the following relation. Is the relation a function? {(2, –3), (4, 6), (3, –1), (6, 6), (2, 3)}
The above list of points, being a relationship between certain x's and certain y's, is a relation. The domain is all the x-values, and the range is all the y-values. To give the domain and the range, I just list the values without duplication:
domain: {2, 3, 4, 6}
range: {–3, –1, 3, 6}
(It is customary to list these values in numerical order, but it is not required. Sets are called "unordered lists", so you can list the numbers in any order you feel like. Just don't duplicate: technically, repetitions are okay in sets, but most instructors would count off for this.)
While the given set does indeed represent a relation (because x's and y's are being related to each other), the set they gave me contains two points with the same x-value: (2, –3) and (2, 3). Since x = 2 gives me two possible destinations (that is, two possible y-values), then this relation is not a function.
Write each number as a product of primes 1. 120 2. 160
Answer:
120=2*2*2*3*5
160=2*2*2*2*2*5
Step-by-step explanation:
Answer:
Below in bold.
Step-by-step explanation:
1. 120 = 12 * 10
= 2*2*3*2*5
= 2*2*2*3*5
2. 160 = 10 * 16
= 2*5*2*2*2*2
= 2*2*2*2*2*5
Amtrail trains provide efficient, nonstop transportation between Los Angeles and San Diego. Train A leaves Los Angeles headed toward San Diego at the same time that Train B leaves San Diego headed for Los Angeles, traveling on parallel tracks. Train A travels at a constant speed of 84 miles per hour. Train B travels at a constant speed of 92 miles per hour. The two stations are 132 miles apart. How long after they leave their respective stations do the trains meet
Answer:
0.75 hour or 45 mins
Step-by-step explanation:
From the question, we are told that:
Speed of Train A = 84 miles per hour. Speed of Train B = 92 miles per hour.
Total speed travelled by both trains =
84mph + 92mph
= 176 mph
The distance between the two stations = 132 miles.
We are asked in the question to: find out how long after they leave their respective stations do the trains meet.
This means we should calculate the time
Time = Distance/ Speed
= 132 miles/176 miles per hour
= 0.75 hour
We can convert to minutes if we like
1 hour = 60 minutes
0.75 hour =
0.75 hour × 60 minutes/ 1 hour
= 45 minutes
Therefore, the trains meet after 0.75 hour or 45 minutes after they have left their respective stations.
3.88 milligrams is equal to how many centigrams?
-0.0388 centigrams
-0.388 centigrams
-38.8 centigrams
-388 centigrams
Answer:
B
0.388 centigrams :)
(True or False) ((22)3) = 25.
Answer:
22*3=66
Flase
Step-by-step explanation:
The equation ((22)3) = 25 is false.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is ((22)3) = 25.
We have to check whether the left hand side is equal to right hand side.
If the LHS and RHS are equal then the equation is true.
If not then it is false.
The value in LHS is 22×3 = 66
The value in RHS is 25
66 is not equal to 25
Hence, the equation ((22)3) = 25 is a false statement.
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Need help ASAP thanks
Answer:
total cost of all seats : 61,940
Mean : 398
Median : 280 320 400 540 850
mode: no mode
I think this is right.
Is the study experimental or observational? A sample of fish is taken from a lake and each fish is weighed to measure the effect of pollution from a nearby factory on the fish. This group is then compared to another group taken from a lake in the same county in a state park where no businesses or houses are near the lake.
Answer:
For me I think it is observational
Step-by-step explanation:
Observation is the action or process of closing observing or monitoring something or someone while
Experimenting is to perform a scientific procedure, especially in a laboratory to determine something
So from the two definition I think the answer is observation
What is 4 divided by 6
Answer:
0.666
Step-by-step explanation:
Answer: 0.6667
Shouldnt the 6 be divided by 4? If it is its 1.5
Step-by-step explanation:
The Booster Club has a goal of raising at least $300. The Club has already raised $175. The Booster Club is
sponsoring a pancake breakfast and charging $3.00 per ticket.
What inequality would represent the number of tickets (t) that the Booster Club must sell to meet its goal?
Answer:
You have got
to start thinking bee, my friend.
- Thinking bee!
- Me?
Hold it. Let's just stop
for a second. Hold it.
I'm sorry. I'm sorry, everyone.
Oan we stop here?
I'm not making a major life decision
during a production number!
All right. Take ten, everybody.
Wrap it up, guys.
Step-by-step explanation:
You have got
to start thinking bee, my friend.
- Thinking bee!
- Me?
Hold it. Let's just stop
for a second. Hold it.
I'm sorry. I'm sorry, everyone.
Oan we stop here?
I'm not making a major life decision
during a production number!
All right. Take ten, everybody.
Wrap it up, guys.
175+3t≥300 is the inequality would represent the number of tickets (t) that the Booster Club must sell to meet its goal
What is Inequality?a relationship between two expressions or values that are not equal to each other is called 'inequality.
Given that The Booster Club has a goal of raising at least $300.
The Club has already raised $175
The Booster Club is sponsoring a pancake breakfast and charging $3.00 per ticket.
175+3t≥300
One hundred seventy five plus three times t greater than or equal to three hundred.
We have used greater than or equal to in inequality because in data given atleast.
Hence, 175+3t≥300 is the inequality would represent the number of tickets (t) that the Booster Club must sell to meet its goal
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Jackson and Derek have a lemonade stand. They sell lemonade
Two bags of cereal are packed in a box. The total weight of the box and the two bags of cereal is 50.00 ounces. One bag of cereal weighs 16.03 ounces, the other weighs 18.98 ounces. How much does the box weigh?
Answer:
14.99 ounces
Step-by-step explanation:
First, find the weight of the 2 cereal bags combined:
16.03 + 18.98
= 35.01
Subtract this from 50 to find the weight of the box, since 50 ounces is the combined weight of the box and the 2 cereal bags
50 - 35.01
= 14.99
So, the box weights 14.99 ounces
Find all values if x , where |x| = 14
Answer: x=-14, x=14
Step-by-step explanation:
The absolute value makes all the values turn from negative to positive. With absolute value, you will not have a negative response. Therefore, x=-14 and x=14.
E
On a number line, suppose the coordinate of Ais 0, and AR = 15. What are the possible coordinates of the midpoint of AR?
Given :
On a number line, suppose the coordinate of A is 0, and AR = 15.
To Find :
the possible coordinates of the midpoint of AR.
Solution :
Their can be two points R which is at a distance of 15 units from the A .
One is -15 and other is 15.
Now, mid-point of A(0) and R(-15) is M (-7/2).
Also, mid-point of A(0) and R(15) is M (7/2).
Therefore, possible coordinates of the midpoint of AR is 7/2 , -7/2.
Hence, this is the required solution.
A 9-pack of markers costs $6.21. What is the unit price?
Answer:
1.449275362
Step-by-step explanation:
Answer:
$0.69
Step-by-step explanation:
Step 1:
$6.21 ÷ 9
Answer:
$0.69
Hope This Helps :)
Before each class, I either drink a cup of coffee, a cup of tea, or a cup of water. The probability of coffee is 0.7, the probability of tea is 0.2, and the probability of water is 0.1. If I drink coffee, the probability that the lecture ends early is 0.3. If I drink tea, the probability that the lecture ends early is 0.2. If I drink water, the lecture never ends early. 1) What’s the probability that I drink tea and finish the lecture early? 2) What’s the probability that I finish the lecture early? 3) Given the lecture finishes early, what’s the probability I drank coffee?
Answer:
1. Probability of drinking tea and finishing the lecture early = 0.2 * 0.2 = 0.04 or 4%
2. Probability of finishing the lecture early = 50% (0.3 + 0.2).
3. Probability of drinking coffee = 0.21 or 21% (0.7 * 0.3)
Step-by-step explanation:
a) Data and Calculations:
Probability Early Ending Expected Probability
Coffee 0.7 0.3 0.21
Tea 0.2 0.2 0.04
Water 0.1
b) The probability of drinking coffee, tea, or water is the chance that the lecturer drinks either coffee or tea or water. The combined probability of the three actions is always 1. The expected probability is the weighing of the probabilities with another event, ending the lecture early. This is obtained by multiplying their respective probabilities.
100 POINT I need answer ASAP WITH WORK PLEASE!!
Answer:
153.2 =x
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adjacent side/ hypotenuse
cos 40 = x/200
Multiply each side by 200
200 cos 40 = x/200 * 200
200 cos 40 =x
153.20888886=x
To the nearest tenth
153.2 =x
Answer:
AC = 153.2 m.
Step-by-step explanation:
cos(Ф) = adj / hyp
cos(40) = AC / 200
AC = cos(40) x 200
AC = 153.2 m
answer ASAP pic below
Savannah's balance in her checking account was –$638.57. She deposited two checks, each in the amount of $298.40. What is Savannah’s new checking account balance after the deposits?
Find the sum ( u2-6uv+5v2)+3u2+2uv
Answer:
4u2−4uv+5v2
Explanation:
Answer:
u2-6uv +5v2 +3u2+ 2uv
= 4u2 -4uv +5v2
(1 point) Consider the system
2x + y = 3
-8x + ay = -11
Find a value of a so that the system is inconsistent. If there is no such value, write none.
a =
Answer:
a=-4
Step-by-step explanation:
1) Isolate x for 2x+y=3 which will give us x=3-y/2
2) Substitute 3-y/2 in the equation -8x+ay=-11
3) Then we simplify
4) Isolate for y
5)Then we simplify in order to get -4
For Jack's lemonade recipe, 12 lemons are required to make 18 cups of lemonade. At what rate are lemons being used in lemons per cup of lemonade?