Solve x^2 + 4x + 8 = 0
Answer:
x = -2 + 2 i or x = -2 - 2 i
Step-by-step explanation:
Solve for x:
x^2 + 4 x + 8 = 0
Subtract 8 from both sides:
x^2 + 4 x = -8
Add 4 to both sides:
x^2 + 4 x + 4 = -4
Write the left hand side as a square:
(x + 2)^2 = -4
Take the square root of both sides:
x + 2 = 2 i or x + 2 = -2 i
Subtract 2 from both sides:
x = -2 + 2 i or x + 2 = -2 i
Subtract 2 from both sides:
Answer: x = -2 + 2 i or x = -2 - 2 i
The Hernandez family orders 3 large pizzas. They cut the pizzas so that each pizza has the same number of slices, giving them a total of 24 slices. The Wilson family also orders several large pizzas from the same pizza restaurant. They also cut the pizzas so that all their pizzas have the same number of slices. For the Wilson family, the equation y = 10x represents the relationship, where x represents the number of pizzas and y represents the number of total slices. Which statements best describe the pizzas bought by the Hernandez and Wilson families? Select two options. For the Hernandez family, the equation y = 3x represents the relationship between the number of slices and number of pizzas, where x represents the number of pizzas and y represents the number of total slices. For each family, a graph of the relationship between number of pizzas, x, and number of slices, y, goes through the point (0, 0) and is a straight line. The Hernandez family’s slices are smaller than the Wilson family’s slices. If the Wilson family ordered 3 large pizzas from the same restaurant as the Hernandez family, they would have more slices than the Hernandez family after each family cut their pizzas into slices. The constant of proportionality is 10 for the Wilson family, but cannot be determined for the Hernandez family.
Answer:
B and D
Step-by-step explanation:
edge 2021
Help me please thank u
Answer:
4+3n
Step-by-step explanation:
We get the formula 4+3n because the pattern is +3 each term starting with the first term as 7. Since the first term is 7, we get 4+3n.
This applet illustrates 95% confidence intervals for samples from a normal distribution with known variance.
When taking 100 samples of size 30 or greater from a population, exactly 95 of them will create a confidence interval that contains the true population mean.
a. True
b. False
Which statement is the correct interpretation of the confidence interval in this illustration
a. The probability the true mean is between 76.08 and 83.92 is 0.95 or 95%.
b. We are 95% confident that the true mean is between 76.08 and 83.92.
Answer:
1- b. False
2 b. We are 95% confident that the true mean is between 76.08 and 83.92.
Step-by-step explanation:
Confidence Interval is the estimated value that is computed from the statistic of data which is observed. The range value is plausible for unknown parameters. To find the critical value the confidence interval value is observed through the t-value table.
A large department store is curious about what sections of the store make the most sales. The manager has data from ten years prior that show 30% of sales come from Clothing, 25% Home Appliances, 18% Housewares, 13% Cosmetics, 12% Jewelry, and 2% Other. In a random sample of 550 current sales, 188 came from Clothing, 153 Home Appliances, 83 Housewares, 54 Cosmetics, 61 Jewelry, and 11 Other. At α=0.10, can the manager conclude that the distribution of sales among the departments has changed? Enter the p-value - round to 4 decimal places. Make sure you put a 0 in front of the decimal.
Based on the information given, the null hypothesis will be that there's no difference in the distribution of current sales.
The alternate hypothesis will be that's there's a difference in the distribution of current sales.
Also, it should be noted that the test statistic is 23.0951. The p-value is 0.00003 and the conclusion is that the distribution of sales among the departments has changed.
Learn more about null hypothesis on:
https://brainly.com/question/15980493
The null hypothesis would be that there is no difference in the prevalence of current sales based on the information provided. This alternative hypothesis says there was variance in the distribution of current sales.
It is also worth noting that the test statistic is 23.0951. The p-value is 0.00003, as well as the inference, is that the sales distribution across divisions has altered.Learn more:
brainly.com/question/14578907
match the term with the definition
Answer:
1 - c
2 - a
3 - e
4 - d
5 - b
Answer: c, a, e, d, b
Step-by-step explanation:
1. Angle: (c) A figure consisting of two rays with the same endpoint.
2. Circle: (a) The set of all points in a plane that are a given distance from a point. That distance is called the radius.
3. Point: (e) A location, has no size.
4. Ray: (d) The portion of a line that starts at one point and goes off to infinity.
5. Vertex: (b) A point where two or more rays or "arms" of an angle meet.
Any help would be appreciated
Jiangsu divided 751.6 by 10 by the power of 2 and got a quotient of 0.7516. yesseinafhinks that the quotient should be7.516. Who is correct?
Answer:
yesseinafhinks
Step-by-step explanation:
Dividing by 10² is also the same thing as multiplying by 10^-2. In that case, we simply move the decimal places only 2 places back. That would give us 7.516, not 0.7516 (which is 3 times, not 2).
Identify three misconception each of any five topic's in mathematics
62 = 12.
7 x 0 = 7.
Four hundred and eight is written as 4008.
0.10 = point ten.
0.5 x 10 = 0.50.
6 -:- ½ = 3.
- 5 + 3 = -8.
4% is 0.4 as a decimal.
This year Tammy watched 60 movies. She thought that 15 of them were very good. Of the movie she watched, what percentage did she rate as very good?
Answer:
25%
Step-by-step explanation:
She watched in total 60 movies. Out of that total, she rated 15 of them as very good. Thus, she rated 15/60 or 1/4 or a quarter of them as very good.
To convert 1/4 into a percentage, simply divide them and you get 0.25. The percentage is the first two digits after the decimal, which is 25%.
I would really appreciate it if you could help me please
Answer:
Yes, triangle GYK is similar to triangle BAK.
Step-by-step explanation:
The sides of each triangle are proportional to each other.
Take the longest side of each triangle. You are comparing line AK with line KY.
The proportion is 15/25.
Now, take the shortest side of each triangle. You are comparing line KB with GK.
The proportion is 6/10.
To determine if the triangles are proportional, we can see if the two proportions are equal to each other:
15/20=6/10
3/5=6/10
Correct! 3/5 equals to 6/10. Therefore, the two triangles are similar because their sides are proportional.
Hope this helps :)
Answer:
O Yes!
Step-by-step explanation:
We would check whether the proportionality of their sides is equal
Taking proportionality
= [tex]\frac{6}{10} = \frac{15}{25}[/tex]
Cross Multiplying
6 × 25 = 15 × 10
150 = 150
So, ΔABK is similar to ΔGKY
A group of 8 students paid $48.24 for food at a picnic whats each persons share
Answer:
Each persons share is 6.03
Step-by-step explanation:
Divide the total cost by the number of students
48.24 / 8
6.03
Each persons share is 6.03
Answer:
$6.03
Step-by-step explanation:
A group of 8 students paid $48.24 for food.
Each of their shares would be divided among the 8 students.
48.24/8=6.03
Each student paid a share of $6.03.
Not sure how to answer question 4
Answer:
Option D is correct
Step-by-step explanation:
Applying the cosine theorem for triangle ABC, you would have:
cos (angle BAC) = (BA^2 + CA^2 - BC^2)/(2*BA*CA)
= (10^2 + 18^2 - 20^2)/(2*10*18)
= 24/360
=> angle BAC = ~86 deg
Hope this helps!
At which root does the graph of f(x) = (x – 5)3(x + 2)2 touch the x-axis?
-5
-2
2
5
Answer:
-2
Step-by-step explanation:
the power is 2 for (x+2) so it will touch the axis
thepower of (x-5) is 3 so it will cross the axis
the correct answer is then -2
hope this helps
Answer:
B. -2
Step-by-step explanation:
26
Ping lives at the corner of 3rd Street and 6th Avenue. Ari
lives at the corner of 21st Street and 18th Avenue. There is
a gym į the distance from Ping's home to Ari's home.
24
22
20
n
Ari (21.18)
7
x =
18
(x2 – x) + x3
mi+n
16
Avenue
14
-- ( , Jive - y) +
12
10
Where is the gym?
00
6
Ping (36)
4
2
9th Street and 10th Avenue
12th Street and 12th Avenue
0 14th Street and 12th Avenue
15th Street and 14th Avenue
2
x
4 6 8 10 12 14 16 18 20 22 24 26
Street
Corrected Question
Ping lives at the corner of 3rd Street and 6th Avenue. Ari lives at the corner of 21st Street and 18th Avenue. There is a gym 2/3 the distance from Ping's home to Ari's home. Where is the gym?
9th Street and 10th Avenue 12th Street and 12th Avenue 14th Street and 12th Avenue 15th Street and 14th AvenueAnswer:
(D)15th Street and 14th Avenue
Step-by-step explanation:
Ping's Location: (3rd Street, 6th Avenue)
Ari's Location: (21st Street, 18th Avenue)
The gym is at point P which is [tex]\dfrac{2}{3}[/tex] the distance from Ping's home to Ari's home.
That is, Point P divides the line segment in the ratio 2:1.
We use the section formula:
[tex](x,y)=\left(\dfrac{mx_2+nx_1}{m+n}, \dfrac{my_2+ny_1}{m+n}\right)[/tex]
m:n=2:1, [tex](x_1,y_1)=(3,6), (x_2,y_2)=(21,18)[/tex]
[tex]=\left(\dfrac{2*21+1*2}{2+1}, \dfrac{2*18+1*6}{2+1}\right)\\=\left(\dfrac{45}{3}, \dfrac{42}{3}\right)\\=(15,14)[/tex]
The gym is located at 15th Street and 14th Avenue.
(a) A company that makes crayons is trying to decide which colors to include in a promotional mini-box of crayons. The company can choose the mini-box colors from its collection of colors. How many mini-boxes are possible?
Complete Question
The complete question is shown on the first uploaded image
Answer:
The number of color are possible [tex]\left n} \atop }} \right. C _r = 1215450[/tex]
Step-by-step explanation:
From the question we are told that
The number of colors is r = 4
The sample size n = 75
The number of color that are possible can be mathematically evaluated as
[tex]\left n} \atop }} \right. C _r = \frac{n !}{ (n-r)! r!}[/tex]
substituting values
[tex]\left n} \atop }} \right. C _r = \frac{75 !}{ (75-4)! 4!}[/tex]
[tex]\left n} \atop }} \right. C _r = \frac{75 !}{ (71)! 4 !}[/tex]
[tex]\left n} \atop }} \right. C _r = \frac{75 *74 * 73* 72 * 71!}{ (71)! (4*3*2 *1)}[/tex]
[tex]\left n} \atop }} \right. C _r = 1215450[/tex]
what is the remainder for the synthetic division problem below 3/2-11 7
Answer:
-115.5
Step-by-step explanation:
here's ur answer I hope I was able to help you
Weekly demand for cell phones at a Best Buy store is normally distributed, with a mean of 300 and a standard deviation of 200. The supplier takes two weeks to supply a Best Buy order. Best Buy is targeting a CSL of 95 percent and monitors its inventory continuously. How much safety inventory of cell Chopra, Sunil. Supply Chain Management (What's New in Operations Management) (p. 346). Pearson Education. Kindle Edition.
Answer:
The amount of safety inventory of cell phones best buy should carry is $465.277
Step-by-step explanation:
Solution
We recall that:
The weekly demand for cell phones= 300 per week
The Standard Deviation = 200 per week
The lead time or number of weeks = 2 weeks (14 days)
Thus,
Z = 95%
= 1.645
Now,
The standard deviation of lead time = Standard deviation√ *√ lead time
Which is
= 200 * √ (2) =2.82.843
So,
The safety inventory = Z * Standard deviation of the lead time
= 1.645 * 2.82.843
$465.277
Find an equation of the plane that passes through the point P0(- 3,3,1) with a normal vector n = (1,4, -3). Which of the following equations is an equation of the plane that passes through the point P0( - 3,3,1) with a normal vector n (1,4, -3)?
a. An equation for the plane is -3x+3y + Z = 6.
b. An equation for the plane is x+ 3y +z = 19.
c. An equation for the plane is x + y+ z = 26.
d. An equation for the plane is x +4y - 3z= 6.
Take an arbitrary vector (x, y, z), which goes from the origin to some point (x, y, z) on the plane we want to find.
Subtract from this vector, the vector that points to [tex]P_0[/tex], which is (-3, 3, 1). This translates the first vector so that it starts at the point [tex]P_0[/tex] and is directed at some point (x, y, z). We get a new translated vector, (x + 3, y - 3, z - 1), which lies in the plane.
The normal vector to the plane is orthogonal to every vector in the plane. So taking the dot product of any vector in the plane with the normal to the plane will always result in 0. We use this to find the plane's equation:
[tex]\vec n\cdot((x,y,z)-P_0)=(1,4,-3)\cdot(x+3,y-3,z-1)=0[/tex]
[tex]\implies(x+3)+4(y-3)-3(z-1)=0[/tex]
[tex]\implies x+4y-3z=6[/tex]
and so the answer is D.
"Find the surface area of the following shapes. Round to the nearest tenth if necessary." Is this correct? (Bold Mikado is my work.)
Answer:
360 cm^2
Step-by-step explanation:
First find the area of the bottom
10*10 = 100
The find the area of one of the triangular shapes
A = 1/2 bh since it is a triangle
A = 1/2 ( 10)*13 = 65
Since there are 4 triangles ( 1 for each side), multiply by 4
4*65 = 260
Add the areas together
260+100 = 360
Help needed ASAP please !!!!
Answer:I believe that it is A but i am not fully sure
Step-by-step explanation:
helppppppppppppppppppppppppp
please see the attached picture...
Hope it helps...
Good luck on your assignment.....
Answer:
The answers are
Step-by-step explanation:
7 X -3 = -21
24/ -12= -2
Kenneth had $5. He spent g cents everyday. How much money he left afterone week? (a) Give you answer in cents (b) Give your answer in dollars.
Answer:
answer in cents = (500 - 7g ) cents
answer in dollars = ((500 - 7g)/100 ) dollar
Step-by-step explanation:
Money with Kenneth = $5
we know that 1 dollar = 100 cents
Money with Kenneth in cents= 5*100 = 500 cents
Money spent in 1 day = g cents
Money spent in 1 day in dollar = g /100 dollar
(a) Give you answer in cents
One week has 7 days
money spent in 7 days = Money spent in 1 day*7 = g*7 = 7g cents
Money left with Kenneth after one week= total money Kenneth had in cents - money spent in 7 days = (500 - 7g ) cents
(b) Give you answer in cents dollars
One week has 7 days
money spent in 7 days in dollars = Money spent in 1 day*7 = g/100*7 = 7g/100 cents
Money left with Kenneth after one week= total money Kenneth had in dollars - money spent in 7 days = (5 - 7g/100 ) dollar
= ((500 - 7g)/100 ) dollar
Solve the linear equality 4x-7 <5
Answer:
X<3
Step-by-step explanation:
4x-7 <5
4x < 5+7
4x < 12
X < 12/4
X < 3
Hope this helps..
Good Luck!
The population of a city has increased by 35% since it was last measured. If the current population is 29,700 , what was the previous population?
Answer:
19305
Step-by-step explanation:
We simply take the percentage of 29700 to find how many people were added.
29700(0.35) = 10395 <== so 10395 people have been added
Subtract it from the current:
28700 - 10395 = 19305 people before.
A test consists of 580 true or false questions. If the student guesses on each question, what is the standard deviation of the number of correct answers? Round the answer to the nearest hundredth.
Answer:
12.04
Step-by-step explanation:
Because the questions are true and false, that is, there are only two answer options, therefore, you have a success probability = 1/2 = 0.5
The standard deviation can be calculated as follows:
Standard Deviation = (n*p* (1-p)] ^ (1/2)
replacing we have:
SD = (290 * (1-0.5)] ^ (1/2) = 12.04
That is, the standard deviation is 12.04
anyone know the answer for this
Answer:There you go X is the middle, a only brother, b only sister.
a X =11
b X =9
a b X =14 (20-6)
a b 2x=20
X=6
So 6 in the middle, 6 on the outside, 5 only brothers, 3 only sisters. let me know if I missed anything but we have a total of 20, 6 with none, 11 with brothers and 9 with sisters
Step-by-step explanation:
Levi would like to use a credit card to make a $3000 purchase. He is considering two credit options. The first requires
a down payment of $1000 followed by monthly payments of $125. The second requires a down payment of $1300
followed by monthly payments of $110. The two options accumulate the same amount of interest and require the
same number of monthly payments.
What is the amount of interest for this loan?
Answer:
The amount of interest for this loan is 16.6%.
Step-by-step explanation:
Since Levi will make a purchase for $ 3000 with your credit card, you should explore the two options you have:
-On the one hand, a down payment of $ 1000, with fees of $ 125.
-on the other, a down payment of $ 1,300, with fees of $ 110.
In both cases, the fees are the same, and the interest too. Therefore, to determine the amount of installments and interest, the difference between the down payment of one option and the other must be taken and divided by the difference between the value of the installments of either option.
Thus, the difference of the down payment of 300 (1300 - 1000) must be divided by 15 (125 - 110). This yields a result of 20 (300/15), with which that will be the total of quotas until both have paid the same amount of money.
Thus, given that 1300 + 110 x 20 = 3,500, and that 1000 + 125 x 20 = 3,500, in both cases the total value to be paid is $ 3,500. Since 500 is 16.6% of 3000, the total purchase interest will be 16.6%.
6• 2hen+3pens-5anchors
Answer:
[tex]180[/tex]
Step-by-step explanation:
[tex]6 \times 2 \times 3 \times 5[/tex]
[tex]12 \times 15[/tex]
[tex]=180[/tex]
Steps to solve:
6 * 2 + 3 - 5
~Multiply
12 + 3 - 5
~Add
15 - 5
~Subtract
10
Best of Luck!
A biker’s speed is 1.5 times faster than a walker’s. They started simultaneously from the same point and in 1.5 hours the distance between them was 12.5 miles. What are their speeds?
Answer:
Biker = 25 mph
Walker = 16⅔ mph
Step-by-step explanation:
Distance = rate × time
If x is the walker's speed and y is the biker's speed, then:
1.5 y − 1.5 x = 12.5
y = 1.5 x
Solve the system of equations.
1.5 y − y = 12.5
0.5 y = 12.5
y = 25
x = 16⅔