Answer:
Step-by-step explanation:
a = 5, b = -7 c = 1
[tex]x=\frac{-b\pm\sqrt{{b^2-4ac}}}{2a}\\=\frac{-(-7)\pm\sqrt{{(-7)^2-4(5)(1)}}}{2(5)}\\\\=\frac{{7}\pm\sqrt{{49-20}}}{10}\\\\\\=\frac{{7}\pm\sqrt{{29}}}{10}\\\\[/tex]
so
[tex]x_1=\frac{7+\sqrt{29}}{10}\\x_2=\frac{7-\sqrt{29}}{10}[/tex]
115 km 10 hm what is that answer
Answer:
115 km. 10= 1 hm
115 km= 1150 hm
Step-by-step explanation:
mark me brainliest!!
Please answer quick and show work !
The price of a bicycle that ms. motyka wants to buy is $282. How much will she pay for the bicycle if there is a 4% sales tax.
Answer: $293.28
Step-by-step explanation:
We know that 282 is the 100% price tag on the bicycle. And there is a 4% tax applied to the 282. So we need to find out how much is 4% of 282.
282/100% = x/4% (we don’t know how much is 4% so its represented by X.
do a cross over where you end up with this:
282 (4) = x (100) we want to have X on its own as it represents the 4% to which we are looking for the amount in dollars. So you end up with this:
282 (4) /100 = x
solve the multiplication first and then divide.
1128/100 = x
11.28 = x
so now we know 4% of 282 is $11.28 so we add it to know how much does this person pay.
$282 + $11.28 = $293.28
12. The weight of 7 chocolate bars in grams are 131, 127,125,127,133,129 and 127
Find the Range of the data. *
(1 Point)
125
127
8
O 129
13. Find the sum of *
Answer:
The range is from 125 to 133.
Step-by-step explanation:
That's the lowest and highest the weights go, therefore the range is from 125 and anything in between up to 133.
The bar graph shows your cell phone data usage for five months. A vertical bar graph, titled Cell Phone Data Uses. The vertical axis is labeled Gigabytes. The horizontal axis is labeled Month. For May, the bar height is 0.9. For June, the bar height is 1.85. For July, the bar height is 3.82. For August, the bar height is 2.19. For September, the bar height is 1.24. Describe how the outlier affects the mean. 4 / 10000 Word Limit it makes it higher. Question 2 Use the data to answer the statistical question, "How much cell phone data do you use in a month?" gigabytes
The outlier of the cell phone data usage has its value to be relatively higher or lower than other values
The outlier would make the mean higherYou use 1.85 gigabytes of data monthlyHow to determine the outlier
From the bar graph, we have the following entries:
May = 0.9
June = 1.85
July = 3.82
August = 2.19
September = 1.24
The outlier of the dataset is 3.82.
This is so because it is relatively higher and far from other data elements
So, the outlier would make the mean higher
How much cellphone data you used monthlyThe outlier affects the mean, but it does not affect the median.
So, we calculate the median.
When the dataset is arranged, we have:
0.9, 1.24, 1.85, 2.19, 3.82
The middle value is 1.85.
This represents the median.
Hence, you use 1.85 gigabytes of data monthly
Read more about outliers at:
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Answer: How funny, I was answering this to.
Step-by-step explanation: I do not know this yet but somone is answering RN
What do you already know about stem-and-leaf plot?
Answer:
A stem and leaf plot, or stem plot, is a technique used to classify either discrete or continuous variables.
Step-by-step explanation:
Help meeeeeeee pleaseeeee
Answer:
Step-by-step explanation:
Answer:
y=2x
Step-by-step explanation:
12 is 60, percent of what number?
x = 20
Step-by-step explanation:Hi there !
12 .........60%
x............100%
x = 12×100/60
= 1200/60
= 20
Good luck !
could you pls help with question 2
Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
Exact Form:
x
=
1
3
Decimal Form:
0.3
this is the first one I'm not to good with area
7. Two measures of two angles of a triangle are 68° and 70°. Explain how to find the measure of the third angle.
+
Three parrots A,B and Cwere parroting "hello" once every 3 minutes, 4 minutes and 5 minutes respectively. If three of the starts parroting at 7.00 a.m.,when will they parrots together again
What is the equation of the given line in standard form?
–6x + 7y = –17
–6x + 11y = –13
–11x + 6y = –13
–6x +11y = 13
Answer:
-6x + 11y = 13
Step-by-step explanation:
the equation in slope-intercept form is:
from the two points we can find the slope, 2-(-1) / 1.5-4)
slope = 6/11
y-intercept can be found by using a point and the slope:
-1 = 6/11(-4) + b
-1 = -24/11 + b
b = 1 2/11 or 13/11
so we have:
y = 6/11x + 13/11
if we multiply everything by 11 we get:
11y = 6x + 13
subtract 6x from each side to get:
-6x + 11y = 13
can you look at this please
what is the value of a? What is the value of b?
Answer:
[tex]\huge\boxed{a=36;\ b=-9}[/tex]
Step-by-step explanation:
[tex](6x-3)(6x+3)=ax^2+b\qquad|\text{use}\ (a-b)(a+b)=a^2-b^2\\\\(6x)^2-3^2=ax^2+b\\\\6^2x^2-9=ax^2+b\\\\36x^2-9=ax^2+b\Rightarrow a=36;\ b=-9[/tex]
The Cleveland City Cable Railway had a 14-foot-diameter pulley to drive the cable. In order to keep the cable cars moving at a linear velocity of 16 miles per hour, how fast would the pulley need to turn (in revolutions per minute)? (1 mi = 5,280 ft. Round your answer to the nearest tenth.)
Answer:
32.0 rpm
Step-by-step explanation:
16 mi/h = (16 mi)(5280 ft/mi)/(60 min) = 1408 ft/min
One revolution is a distance of ...
C = πd
C = π(14 ft) ≈ 43.98 ft
So the number of revolutions per minute is ...
(1408 ft/min)/(43.98 ft/rev) = 32.01 rev/min
The pulley needed to turn at 32.0 rpm.
In Tanzania, Helen invested TZS X300,000 in the shares of company X and TZS X550,000 in the shares of company Y. After a year, she sold all the shares of both companies for TZS X400,000 and TZS X700,000 respectively. What is her profit from company X?
The profit from selling the shares in company X given the selling price and the purchase price is TZS X100,000.
What is the profit from the purchase?Profit is the total selling price less the purchase price. A profit is earned when the selling price is greater than the cost price. If this is not the case, a loss is earned.
Profit = TZS X400,000 - TZS X300,000 = TZS X100,000
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Bobby is reading a new book about dragons and wizards. He reads 1/5 of a chapter every night
before bed. There are 15 chapters in the book. How many days will it take Bobby to finish the
book?
Answer:
75 nights
Step-by-step explanation:
= 15 ÷ 1/5
= 15 × 5/1
=15×5/1 = 75
PLEASE HELP!!!!
For 13–17, use the table at right. The table gives the populations of Toledo, Ohio, and Lexington, Kentucky, during the last three U.S. Censuses.
Answer:
13)2000 per year
14)a_n = 350000 - 2000(n - 1)
15)3000 per year
16)a_n = 200000 + 3000(n - 1)
17)when when the number of years is more than 31 years, Lexington's population will be greater than toledo.
Step-by-step explanation:
13) From the table, the population of toledo is 350,000 in 1980 and 330000 in 1990.
Thus,population change from 1980 to 1990 is; 350000 - 330000 = 20000
Similarly, from 1990 to 2000, population went from 330000 to 310000. Change in population is; 330000 - 310000 = 20000
In both cases we see that in 10 years interval, the change is 20000 each.. Thus, for 1 year, change in population = 20000/10 = 2000 per year
14) The population of toledo after 1980 can be expressed using arithmetic progression. Formula is;
a_n = a + (n - 1)d
Where;
a is population in 1980
n is number of years after 1980
d is change in population per year.
Since the population decreases each year, then d will be negative. Thus;
Thus;. a_n = 350000 - 2000(n - 1)
15)From the table, the population of lexington is 200,000 in 1980 and 230000 in 1990.
Thus,population change from 1980 to 1990 is; 230000 - 200000 = 30000
Similarly, from 1990 to 2000, population went from 230000 to 260000. Change in population is; 260000 - 230000 = 30000
In both cases we see that in 10 years interval, the change is 30000 each.. Thus, for 1 year, change in population = 30000/10 = 3000 per year
16) like earlier stated The population of Lexington after 1980 can be expressed using arithmetic progression. Formula is;
a_n = a + (n - 1)d
Where;
a is population in 1980
n is number of years after 1980
d is change in population per year.
a_n = 200000 + 3000(n - 1)
17) we want to find the years in which the population of Lexington will be more than that of toledo.
This simply means the inequality is;
200000 + 3000(n - 1) > 350000 - 2000(n - 1)
Deduct 200000 from both sides;
200000 - 200000 + 3000(n - 1) > 350000 - 200000 - 2000(n - 1)
3000(n - 1) > 150000 - 2000(n - 1)
Add 2000(n - 1) to both sides to get;
3000(n - 1) + 2000(n - 1) > 150000
3000n - 3000 + 2000n - 2000 > 150000
5000n - 5000 > 150000
5000n > 150000 + 5000
5000n > 155000
n > 155000/5000
n > 31
Thus,when when the number of years is more than 31 years, Lexington's population will be greater than toledo.
What is the product of (4^-2)(4^-1)
What is the percent of a hot dog? To show the price went down, use a negative number. 2000: $250 and 2015: $2.00
Answer:
The percentage of the hot dog decreased by 20%
Step-by-step explanation:
20% of 2.50 is 50 cents, meaning that the price went down by 50 cents.
Hope this helps!
Use synthetic division to solve (3x^4+6x^3+2x^2+9x+10)/(x+2) What is the quotient?
Answer: = ( x + 1) (3x^2 - 3x + 5)
Step-by-step explanation:
U juss cancel the comon facor x + 2
( x + 1) (x + 2) (3x^2 - 3x + 5)/ x + 2
and get ( x + 1) (3x^2 - 3x + 5)
Answer:
B --> 3x^3+2x+5
Step-by-step explanation:
For edge
Question Help
The table shows median annual earnings for women and men with various levels of education. Assuming the difference in the table remains constant over a 40-year
career, approximately how much more does a man with a bachelor's degree earn than a man with a high school education?
High
School
Associate's Bachelor's Professional
Only
degree Only degree Only Degree
Women $21,513 $39,520 $49,577 $80,335
Men $40,460 $50,792 $66,245 $119,119
A man with a bachelor's degree earns more than a man with a high school education over a 40-year career. ws
9514 1404 393
Answer:
$1,031,400
Step-by-step explanation:
A man with a high-school education earns $40,460 per year. A man with a bachelor's degree earns $66,245. The difference between these salaries is ...
$66,245 - 40,460 = $27,785 . . . per year
Then in 40 years, the difference in earnings comes to ...
(40 yr)($27,785/yr) = $1,031,400
A man with a bachelor's degree earns $1,031,400 more than a man with a high-school education over a 40-year career.
A. 44
B. 112
C. 32
D. 35
Answer:
A. 44
Step-by-step explanation:
The area of a trapezoid is [tex]\frac{b_1+b_2}{2} * h[/tex], where b_1 and b_2 are the top and bottom bases, and h = height. We are given the bases as 8 and 14, and the height as 4.
[tex]\frac{8+14}{2} *4[/tex] [tex]\frac{22}{2} *4[/tex] [tex]11*4[/tex] [tex]44[/tex]Therefore, the answer is A. 44.
At the local nursery, 1/6 of the plants for sale are flowers and another 5/12 of them are
bushes. What fraction of the plants for sale are either flowers or bushes?
Write your answer as a fraction or as a whole or mixed number.
9514 1404 393
Answer:
7/12
Step-by-step explanation:
The fraction that is flowers or bushes is the sum of the fraction that are flowers and the fraction that are bushes:
flowers + bushes = 1/6 + 5/12 = 2/12 + 5/12 = 7/12
7/12 are either flowers or bushes.
Which is the graph of the linear inequalityx-2y> -6?
Answer:
4th graph (in bottom right corner)
Step-by-step explanation:
First, convert the given equation into slope-intercept form.
Given :-
1/2x - 2y > -6
-2y > -1/2x - 6
2y < 1/2x + 6
y < 1/4x + 3
As the < sign indicates, the line will be dotted and the solution set will be towards the origin in this case.
The correct option is the 4th graph (in bottom right corner)
ANSWER PLEASEEEEEEEEEEEEEEE
Answer:
2.75
Step-by-step explanation:because you subtracted 3 1/2 and6/8 and that’s your answer. If this is a big grade do not listen to me,if it’s not then go ahead and see if you got it write.
9+8+1=9+1+8
A. True
B. False
Answer:
true
Step-by-step explanation:
both sides have the same numbers and signs
Answer:
true........its the same thing
QUICKEST ANSWER GETS BRAINLIEST If you work more than 40 hours a week, then you are paid time and a half (1.5) for all hours over 40. If you work 46 hours this week, how much
did you earn if you are paid 9.25 an hour.
a
370
b
453.25
435.25
425.50
Answer:
I think its D 425.50
Step-by-step explanation:
If you do 46 times 9.25 it should be the answer
Write and equation for each line
To find the equation of all the lines, we must:
1. Find the slope
Choose any two pointsSubstitute the coordinates into the slope formulaSolve for the slope.2. Find the y-intercept by looking at the graph
Finding the equation of the green line:
Step-1: Choose any two points on the line
Chosen points: (0, 4) and (-4, 0)Step-2: Review the slope formula
[tex]\rightarrow \text{Slope = m} = \frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]Where:
x₁ = x coordinate of the first pointx₂ = x coordinate of the second pointy₁ = y coordinate of the first pointy₂ = y coordinate of the second pointStep-3: Substitute the coordinates into the slope formula.
[tex]\rightarrow \frac{y_{2} - y_{1} }{x_{2} - x_{1} } = \text{Slope of green line}[/tex][tex]\rightarrow \frac{0 - 4 }{-4 - 0 } = \text{Slope of green line}[/tex][tex]\rightarrow \frac{-4 }{-4} = \text{Slope of green line}[/tex][tex]\rightarrow 1 = \text{Slope of green line}[/tex]Step-4: Find the y-intercept of the green line
The y-intercept is the intersection of the line on the y-axis. Looking at the graph, we can tell that the intersection of the y-axis made by the green line is 4.
[tex]\text{y-intercept} = 4[/tex]Step-5: Create the equation
Slope intercept form: y = (m)x + (b) [m = slope; b = y-intercept]Equation of green line: y = (1)x + (4) [m = 1; b = 4]Equation of green line: y = x + 4Finding the equation of the yellow line
The yellow line is a vertical line intersecting (1,0). Since the y-coordinate is 0, the equation will be:
x = x coordinate of (1,0)The x coordinate of (1,0) is 1.
x = 1Finding the equation of the blue line
Step-1: Choose any two points on the line
Chosen points: (0, 4) and (2, 0)Step-2: Substitute the coordinates into the slope formula.
[tex]\rightarrow \frac{y_{2} - y_{1} }{x_{2} - x_{1} } = \text{Slope of green line}[/tex][tex]\rightarrow \frac{0 - 4 }{2 - 0 } = \text{Slope of green line}[/tex][tex]\rightarrow \frac{-4}{2} = \text{Slope of green line}[/tex][tex]\rightarrow -2 = \text{Slope of green line}[/tex]Step-3: Find the y-intercept of the green line
Looking at the graph, we can tell that the intersection of the y-axis made by the blue line is 4.
[tex]\text{y-intercept} = 4[/tex]Step-4: Create the equation
Slope intercept form: y = (m)x + (b) [m = slope; b = y-intercept]Equation of green line: y = (-2)x + (4) [m = -2; b = 4]Equation of green line: y = -2x + 4I have started doing it, but I am not sure what to do next....
Answer:
a) x=1/2
b) x=x
Step-by-step explanation:
a) x(1)=1/2
a) x=1/2
b) x(1)=x^0
b) x=x^0
b) x=x times 1
b) x=x
Explain how this graph demonstrates how the equation y = mx can be derived from the two points (1, m) and (x, y).
The equation y = mx of the graph is a linear equation
The linear equation that demonstrates the relationship on the graph is y = mx
How to determine the equation from the graphThe points on the graph are given as:
(1, m) and (x, y)
Start by calculating the slope (M)
[tex]M = \frac{y_2 -y_1}{x_2 -x_1}[/tex]
So, we have:
[tex]M = \frac{y - m}{x - 1}[/tex]
The linear equation is then calculated as:
[tex]y = M(x - x_1) + y_1[/tex]
This gives
[tex]y = \frac{y - m}{x- 1}(x - 0) + 0[/tex]
[tex]y = \frac{y - m}{x- 1}(x)[/tex]
Cross multiply
[tex]yx-y = yx - mx[/tex]
Evaluate the common terms
[tex]-y =- mx[/tex]
Divide both sides by -1
y = mx
Hence, the equation of the graph is y = mx
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The circumference of frisbee is 12.56 inches. What is the frisbee’s radius?
30 points please show work thank you!!
Diameter = cirumference / pie(3.14)
Radius = Diameter/ Radius
Radius is 2 inches
The radius of the frisbee with a circumference of 12.56 inches is 2 inches
Formula for circumference
C = 2πr
Where
C is the circumference
r is the radius
π is constant (i.e pi)
How to determine the radius
From the question given above, the following data were obtained:
Circumference (C) = 12.56 inPi (π) = 3.14 Radius (r) =?C = 2πr
12.56 = 2 × 3.14 × r
12.56 = 6.28 × r
Divide both side by 6.28
r = 12.56 / 6.28
r = 2 inches
Therefore, we can conclude that the radius of the Frisbee is 2 inches
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