Answers
Related Questions
Identify the solution set of the inequality using the given replacement set. x < –4; {–5, –4.6, –4, –0.8, 1, 1.5}
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If you plug in -5 for x you get
[tex] - 5 < - 4[/tex]
which is not true, so it is not a solution. Therefore it is not apart of the solution set. Same for -4.6, and -4, as these values are not greater than -4. However when you substitute in -0.8 you get the solution:
[tex] - 0.8 < - 4[/tex]
which is true, and it is the same for 1 and 1.5, which is why these numbers would be considered as part of the solution set.
The number 12,570 is divisible by 2, 3, and 6. True False
Answers
Answer:
true have a amazing and blessed day god loves you
Step-by-step explanation:
Kevin is 39 years old and daniel is 3 years old.how many years will it take until kevin is only 4 times as old as daniel?
Answers
How do I find the values for a, b, and c, to complete the solution?
Answers
The values a, b, and c are: a = - 4, b = 3, c = 6
The solutions to the equation are: x = - 4 + 3√6 and x = - 4 - 3√6
Explanation:
1) First step is complete squares:
x² + 8x = 38 ← given
x² + 8x + (8/2)² = 38 + (8/4)² ← add square of the half of 8
x² + 8x + 16 = 38 + 16 ← solve the parenthesis
x² + 8x + 16 = 54 ← combine like terms
2) Second, solve the equation:
(x + 4)² = 54 ← factor the perfect square trinomial
(x + 4) = +/- √54 ← extract square root of both sides
x = - 4 +/- √54 ← subtract 4 from both sides
x = -4 +/- 3√6 ← simplify the root
x = - 4 + 3√6 and x = - 4 - 3√6 ← separate the two solutions
3) Third, compare with the solutions shown:
x = a + b√c and x = a - b√c
⇒ a = -4, b = 3, c = 6
A park in a subdivision has a triangular shape two adjacent side of the park are 433 and 520 the angle between the sides is 37 find the area of the park to the nearest square foot hint use theorem 10-8
Answers
Answer:
[tex]67750.644 ft^2[/tex]
Step-by-step explanation:
Given : A park in a subdivision has a triangular shape two adjacent side of the park are 433 and 520 the angle between the sides is 37
To Find: the area of the park to the nearest square foot
Solution:
Refer the attached figure
Area of triangle = [tex]\frac{1}{2} \times a \times b \times sin c[/tex]
a = 433
b=520
Sin c = Sin 37° = 0.6018
Area of triangle = [tex]\frac{1}{2} \times 433 \times 520 \times 0.6018[/tex]
Area of triangle = [tex]67750.644[/tex]
Hence the area of the park is [tex]67750.644 ft^2[/tex]
What is the value after 7 years of a 2014 Ford Mustang that originally costs 25000 if it depreciates at a rate of 8% per year
Answers
1. $25,000 is 100% of the cars original cost. You want to add an 8% depreciation rate per year, so you subtract 8%, to get 92%.
2. Move 92% over two decimal places to get .92, you can multiply this by the original price to find the price of the car after one year of depreciation. 25,000 * .92 = 23,000. The car cost $23,000 after the first year.
3. Repeat this process 6 more times to find the price of the car after 7 years.
The answer is $13,946.16
Answer:
The answer is 14000
Step-by-step explanation:
What is the area of a square with side lengths of 7 feet?
A.
28 ft
B.
28 ft2
C.
49 ft2
D.
49 ft
Answers
length=width=7 ft
hence;
area=length×width
area=7×7
area=49 ft²
Answer:
C.
49 ft2
Please help asap 30 pts
Answers
Which situation is best modeled by the equation 9+x=16 ?
a.You have $16
left after spending $9
and some other amount.
b.Nine friends each pay the same amount to get into a theme park, and the total is $16.
c.The price of a water bottle, $9
, was decreased by some amount to $16.
d.You pay $9
for a burger and some amount for dessert for a total of $16.
Answers
d. You pay $9 for a burger and some amount for dessert for a total of $16.
Step-by-step explanation:We have the following equation:
[tex]9+x=16[/tex]
So the variable of this equation is the amount of money. According to the statement we have that:
A burger costs $9.A dessert costs $xThe total you pay is $16If we solve this equation, we have that:
[tex]x=7[/tex]
So the dessert costs $7. Finally, you pay $16 for the burger and the dessert as follows:
You pay $9 for the burger.You pay $7 for the dessert.You pay a total amount of money = $16Answer:
You pay $9
$
9
for a burger and some amount for dessert for a total of $16
$
16
.
Step-by-step explanation:
What is the probability of flipping a coin 75 times and getting tails 35 times or fewer? Round your answer to the nearest tenth of a percent.
A. 99.7%
B. 32.2%
C. 5.3%
D. 75.6%
Answers
Let X be the number of tail when a coin is flipped n number of times. Let n is the number of times a coin is flipped. Let p be the probability of getting tail on any flip of coin.
Here as coin is fair coin the chance of getting head or tail at any flip is 1/2.
n=75, p =0.5
From given information X follows Binomial distribution with n=75 and p=0.5
The probability that getting tail 35 or fewer times is
P(X ≤ 35) = P(X=35) + P(X=34) + P(X=33) + ....+ P(X=2) + P(x=1)
The Binomial probability is calculated using probability function
[tex] P(X=k) = (nCk) p^{k} (1-p) ^{n-k} [/tex]
For given parameters n=75 and p=0.5 the probability of getting X=k is
[tex] P(X=k) = (75Ck) 0.5^{k} (1-0.5) ^{75-k} [/tex]
Using excel function to find cumulative binomial probability for x=1 to 35 is
=BINOM.DIST(35,75,0.5,1) = 0.322
The probability there will be 35 or fewer tails is 0.322
The percentage of getting 35 or fewer tails is 32.2%
40 POINTS!
Any help would be greatly appreciated!
Answers
[tex]\cos x=\sin x[/tex]
[tex]x=\dfrac{\pi}{4}+k\pi;\ k\in\mathbb{Z}[/tex]
Can someone answer for me please, if you're great at math.
The equation sin (35o) = 12/c can be used to find the length of AB. What is the length of AB? Round to the nearest tenth.
*A <35o ; CB = 12*
Answers
If sin(35) = 12/c, we can transform by multiplying both sides by c, and dividing both by sin(35) to get
c = 12/sin(35)
Evaluating using a calculator gives 20.92 units.
Find the area of this shape
Answers
A=1/2x3.6x(3.6+9)
A=1/2x3.6x12.6
A=1/2x45.36
A=22.68
Jerry played with 3 friends today, all at different times. He played with Tommy for 7/8
7start fraction, 7, divided by, 8, end fraction of an hour, then Nathan for 3/4, then Chris for 3/2
How many hours did Jerry play with his 3 friends today?
Answers
7/8 hour+ 3/4 hour + 3/2 hours; create fractions with common denominators.
7/8 + 6/8 + 12/8
25/8 = 3 1/8 hours.
Jerry played with his friends for 3 1/8 hours.
Abigail wants to measure the dimensions of a classroom to figure out how many desks can fit in the room. Which method could Abigail use to get the most accurate measurements?
Answers
Answer:
Abigail could use a 50-foot tape measure to find the length of the classroom.
A weather satellite I'm circular orbit around earth completes one orbit every 5 hours. The radius of earth is about 6,400 km and the satellite is positioned 4,700 km above the earth. How far does the satellite travel in 1 hour?
Answers
1. You have that:
- It completes one orbit every 5 hours.
- The radius of earth is about 6,400 km.
- The satellite is positioned 4,700 km above the earth.
2. Then, you must use the following formula:
S=rθ
r=6,400 km+4,700 km
r=11,100 km
3. When you substitute the values, you obtain:
S=(11,100 km x 2π)/5
S=13,949 km
The answer is:13,949 km
Pls Pls Pls Pls Pls Pls pls
Answers
David is building a sandbox for his nephew. The dimensions are 10 ft. by 8 ft. and is 1.5 ft. deep. How much sand will the box hold? Give answer in terms of cubic feet.
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So you are looking for the volume of the sand box so what you need to do is multiply the info you got. 10x8x1.5=120
so your answer would be 120 sf
Volume = 10 x 8 x 1.5 = 120 ft³
Answer: The box can hold 120 ft³ of sand.
Please Help!
A train passes by an observer in 6 seconds and over a bridge 350m long in 20 seconds. Find the speed and length of the train.
Answers
On the basis of the observer;
Speed of the train = x/6
On the basis of the bridge;
Total distance covered by any point of the train= 350+x
Speed = (350+x)/20
Equating the two expressions of speed;
x/6 = (350+x)/20
20(x) = 6(350+x)
20x = 2100+6x
(20-6)x = 2100
14x = 2100
x= 2100/14 = 150 m
Speed = x/6 = (350+x)/20 = 150/6 = 500/20 = 25 m/s.
Therefore,
Length of train = 150 m
Speed of train = 25 m/s
List the following stocks and bonds in order from lowest default risk to highest default risk:
Bond in a stable foreign government
Preferred stock
Common stock
A. foreign government bond, common stock, preferred stock
B. foreign government bond, preferred stock, common stock
C. common stock, preferred stock, foreign government bond
D. preferred stock, common stock, foreign government bond
Answers
Stocks represent part of the ownership of a corporation, but preferred stockholders get paid before the common stockholders, especially in case of insolvency of the corporation.
Therefore, the least risky investment is a bond of a foreign government, while the riskiest investment is a common stock.
Hence, the correct answer is B. foreign government bond, preferred stock, common stock.
On a scatter plot, what is the difference of a positive and negative correlation
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On a scatter plot, a positive correlation indicates an increasing relationship between two variables, represented by an upward slope. Negative correlation shows a decreasing relationship, represented by a downward slope. The strength of these relationships is determined by the correlation coefficient.
Explanation:In a scatter plot, a positive correlation and a negative correlation represent different types of relationships between two variables. A positive correlation suggests that as one variable increases, the other also increases. For example, height and weight are usually positively correlated, as the taller a person is, the more they tend to weigh.
On the other hand, a negative correlation means that as one variable increases, the other decreases. Graphically, this is represented by a downward slope from left to right. An example of this is the relationship between hours of sleep and tiredness, more hours of sleep typically correspond to less tiredness.
The strength of these correlations are determined by the correlation coefficient. A correlation coefficient closer to 1 or -1 indicates a stronger relationship, and a coefficient closer to 0 indicates a weaker relationship.
Learn more about Correlation here:https://brainly.com/question/31588111
#SPJ2
A house and a lot is appraised at $212,400. The value of the house is five times more the value of the lot. What is the house worth?
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the lot is worth $35,400
What is 10/12 equivalent to
Answers
This can be found by dividing both to and bottom by 2, thus simplifying it into 5/6.
I hope this helps!
Let me know if you have any further questions.
:)
Fifty-eight boys were asked if they play football and/or baseball. Thirty-one of them said they do not play baseball. Sixteen of them said they play football. Twenty of them said they do not play baseball or football. Match the following values to their correct places on the two-way table.
Answers
Answer:
5 play Football & Baseball; 22 don't play Football; 11 don't play baseball; 20 don't play either football or baseball. See captures attached. The missing one in your original answer + the one made in Excel.
Step-by-step explanation:
If you fill out the blanks the way explained in the answer, you can prove that the 3 sentences match perfectly. The sum of all of them totals 58.
1. Thirty-one of them said they do not play baseball.
2. Sixteen of them said they play football.
3. Twenty of them said they do not play baseball or football.
By the way, as I mentioned before, I also attached the missing image in your original question.
Have a great day!
Answer:
Here is the answer.
The graph represents the feasible region for the system:
y<=2x
x + y<=45
x <=30
Minimize the objective function P = 25x + 20y.
The minimum value =?
and occurs when x = ?
and y = ?
Answers
We have been given a system of inequalities and an objective function.
The inequalities are given as:
[tex]y\leq 2x\\ x+y\leq 45\\ x\leq 30\\[/tex]
And the objective function is given as:
[tex]P=25x+20y[/tex]
In order to find the minimum value of the objective function at the given feasible region, we need to first graph the region.
The graph of the region is shown below:
From the graph, we can see that corner points of the feasible region are:
(x,y) = (15,30),(30,15) and (30,60).
Now we will evaluate the value of the objective function at each of these corner points and then we will compare which of those values is minimum.
[tex]\text{At (15,30)}\Leftrightarrow P=25\cdot 15+20\cdot 30=975\\ \text{At (30,15)}\Leftrightarrow P=25\cdot 30+20\cdot 15=1050\\ \text{At (30,60)}\Leftrightarrow P=25\cdot 30+20\cdot 60=1950\\[/tex]
Hence the minimum value of objective function is 975 and it occurs at x = 15 and y = 30
Answer:
The minimum value =
975
and occurs when x =
15
and y =
30
Step-by-step explanation:
Edge. 2020
Colby starts with 50 bacteria in his culture and the number of bacteria doubles every 2 hours, and Jaquan starts with 80 bacteria that double every 3 hours. x= number of DAYS. Would Colby's experiment be modeled by... y=50(2)^x y=50(2)^8x or y=50(2)^12x Would Jaquan's experiment be modeled by... y=80(2)^x y=80(2)^8x or y=80(2)^12x
Answers
To model the expressions we use the exponential growth given by:
y=a(b)^nx
where:
a=initial value
b=growth factor
n=24 hours
thus Colby's experiment will be:
y=50(2)^(1/2*24*x)
y=50(2)^(12x)
N/B we multiply by 24 so as to convert days into hours
b] Jaquan's starts with 80 bacteria that double every 3 hours.
a=80, b=2
thus
y=80(2)^(1/3×24×x)
simplifying the above we get:
y=80(2)^(8x)
If a tessellation is regular, how many sides can the tessellating regular polygon have?
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I hope my answer helped you. Have a nice day!
i need help on number 3 please. i don’t think my answer is correct
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Think of the three angles as A, B, C
A = 7x-5
B = 9x-16
C = 3x+11
Adding up A,B,C will lead us to 180 degrees
A+B+C = 180
7x-5+B+C = 180 ... replace A with 7x-5
7x-5+9x-16+C = 180 ... replace B with 9x-16
7x-5+9x-16+3x+11 = 180 ... replace C with 3x+11
Now we solve for x
7x-5+9x-16+3x+11 = 180
19x-10 = 180
19x-10+10 = 180+10 ... add 10 to both sides
19x = 190
19x/19 = 190/19 ... divide both sides by 19
x = 10
Answer: 10
What is the next step in completing this construction?
Answers
• Name the point of intersection just created between the arc and circle O
• Draw a line (or segment) between points P and J
• Draw a line (or segment) between point P and the intersecting point just created on circle O.
Answer:
The next step in completing the construction is
Join P to cut arc on circle i.e join PJ.
Step-by-step explanation:
Given the construction of tangent from the external point.
we have to tell the next step in completing the construction shown in diagram.
The step for construction are
Step 1: Draw a line joining the point to center of the circle to any external point P.
Step 2: Construct the perpendicular bisector of that line .
Step 3: Place the compass on the midpoint, adjust its length to reach the point P, and draw an arc across the circle .
Step 4: Join P to cut arc on circle i.e join PJ.
The 4 step is required step to complete the construction.
Hence, the next step in completing the construction is
Join P to cut arc on circle i.e join PJ.
In how many ways can three married couples attending a concert be seated in a row of six seats if