Answer:
a = -2; b = 5
Step-by-step explanation:
Expanding the right side of the given equation, we have ...
x^2 -4x +9 = x^2 +2ax +a^2 +b
Comparing coefficients, we see ...
-4 = 2a . . . . . coefficient of x term
9 = a^2 +b . . . constant term
The first of these tells us ...
-2 = a . . . . divide by 2
The second of these tells us ...
9 = (-2)^2 +b . . . substitute for a
5 = b . . . . subtract 4
The values of a and b are (a, b) = (-2, 5).
Answer:
a=-2
b=5
Step-by-step explanation:
type this on mathswatch and you will get it right
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
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.
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
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.
Which statements are true? Check all that apply. All rectangles are squares. All rhombi are parallelograms. All squares are rhombi. All trapezoids are parallelograms. No trapezoid is a rectangle.
Answer:
All rhombi are parallelograms.
All squares are rhombi.
No trapezoid is a rectangle.
"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
The exchange rate at a post office is £1 = 1.77 euros How many euros will you get with £280
Answer:
495.6 Euros
Step-by-step explanation:
If 1 pound equals 1.77 euros we can set up a proportion that;
[tex] \frac{1 pound}{1.77 euros} [/tex]
This proportion would be equal to the new amount;
[tex] \frac{280 pounds}{x euros} [/tex]
This means that
[tex] \frac{1 pound}{1.77 euros} = \frac{280 pounds}{ x euros} [/tex]
So;
[tex]280 pounds*1.77 euros / 1 pound[/tex]
Pounds cancel out; and so you have
[tex]280 * 1.77 euros[/tex]
giving you as performed on a calculator;
495.6 euros.
Hope this helps
Answer:
495.6 euros.
Step-by-step explanation:
For each pound we get 1.77 euros so:
it is 280 * 1.77
= 495.6 euros.
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
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:
Please answer this correctly. I want genius,expert or ace people to answer this correctly
Answer:
6 times.
Step-by-step explanation:
There is a 1/9 chance you pick the orange one. If you pick 54 times, you can expect to pick the orange marble 6 times.
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!
Any help would be appreciated
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!
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
g Consider a 1 × n floor to be covered by 1 × 1 tiles that come in three different colors(Blue, Red, Green) and 1 × 2 tiles that come in 2 different colors (orange, white). Find a recurrence relation for the number of the ways the floor can be tiled. (Just find the recurrence relation together with an appropriate number of initial terms. Do not solve the recurrence)
Answer:
[tex]f(n) = 3f(n - 1) + 2f(n - 2)[/tex], if [tex]n \geq 2[/tex].
[tex]f(0) := 1[/tex], [tex]f(1) := 3[/tex]
Step-by-step explanation:
Let [tex]f(n)[/tex] be the number of different tiling of [tex]1 \times n[/tex] floor. We can divide all possible tiling of floor [tex]1 \times n[/tex] into five not overlapping groups by color of last cell in the row (Blue, Red, Green, Orange, White).
The number of tiling [tex]1\times n[/tex] floor such that last cell in row is Blue is exactly f(n - 1) because we can throw away last [tex]1\times 1[/tex] tile and cover the rest [tex]1\times (n - 1)[/tex] cells in f(n - 1) ways. Similarly for Red and Green.
The number of tiling [tex]1\times n[/tex] floor such that last cell in row is Orange is exactly f(n - 2) because we can throw away last [tex]1\times 2[/tex] tile and cover the rest [tex]1\times (n - 2)[/tex] cells in f(n - 2) ways. Similarly for White.
So we get recurrent relation:
[tex]f(n) = 3f(n - 1) + 2f(n - 2)[/tex], if [tex]n \geq 2[/tex].
Now we should define the initial conditions.
[tex]f(0) := 1[/tex] because there is only one empty tiling.
[tex]f(1) := 3[/tex] because we can place Blue, Red or Green tile.
This completely define our recurent sequence because the depth of reccurence is 2.
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
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%.
Deanna's Quiz Scores
Use the dot plots to answer the question
has quiz scores that are less variable and
typically higher
80 82 84 86 88 90 92 94 96 98 100
Amy's Quiz Scores
.
.
.
..
80 82 84 86 88 90 92 94 96 98 100
Answer:
1.90.93
2.90.27
Step-by-step explanation:
Answer:
one above correct
Step-by-step explanation:
1st - 90.93
2nd-90.27
A tree that is 40 feet tall casts a 30 foot shadow. At the same time another tree casts a 20 foot shadow. How tall is the second tree?
Answer:26 2/3 feet
Step-by-step explanation:40/30 = 4/3
(26 2/3) / 20= 4/3
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
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.
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
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
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.
(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]
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
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.
Help needed ASAP please !!!!
Answer:I believe that it is A but i am not fully sure
Step-by-step explanation:
In a large university, 70% of the students live in the dormitories. A random sample of 110 students is selected for a particular study.The probability that the sample proportion of students living in the dormitories falls in between 0.6 and 0.8 equals a.0.9780 b.0.9318 c.0.9365 d.1.6450
Answer:
The correct option is (a) 0.9780.
Step-by-step explanation:
According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.
The mean of this sampling distribution of sample proportion is:
[tex]\mu_{\hat p}=p[/tex]
The standard deviation of this sampling distribution of sample proportion is:
[tex]\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}[/tex]
As the sample selected is quite large, i.e. n = 110 > 30, the central limit theorem can be applied to approximate the sampling distribution of sample proportion by a Normal distribution.
The mean and standard deviation are:
[tex]\mu_{\hat p}=p=0.70\\\\\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}=\sqrt{\frac{0.70(1-0.70)}{110}}=0.044[/tex]
Compute the probability that the sample proportion of students living in the dormitories falls in between 0.60 and 0.80 as follows:
[tex]P(0.60<\hat p<0.80)=P(\frac{0.60-0.70}{0.044}<\frac{\hat p-\mu_{\hat p}}{\sigma_{\hat p}}<\frac{0.80-0.70}{0.044})[/tex]
[tex]=P(-2.27<Z<2.27)\\\\=P(Z<2.27)-P(Z<-2.27)\\\\=0.98840-0.01160\\\\=0.9768\\\\\approx0.9780[/tex]
*Use a z-table.
Thus, the probability that the sample proportion of students living in the dormitories falls in between 0.60 and 0.80 is approximately equal to 0.9780.
The correct option is (a).
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: