Answer:
b
Step-by-step explanation:
The roots of f(x) = 2x^2
+ 8x + 13 are
and
The vertex of the parabola is
at
Answer:
( 2 , − 5 )
Step-by-step explanation:
What is the cost of a shirt? What is the cost of a soda?
Answer:
Soda = $4 Shirt = $18
Step-by-step explanation:
s- soda
h - shirt
2s+2h = 44 → 2
h + 3h = 30 → 1
1 * 2
2h + 6h = 60 →3
3 - 2
4h = 16
h = $4
s = $18
Find the distance between the given points. Round to the nearest tenth. 5,-2 and 1,2.
Answer:
[tex]4\sqrt{2}[/tex]
Step-by-step explanation:
Use the distance equation
[tex]\sqrt{(x1-x2)^2+(y1-y2)^2}[/tex]
insert values (5,-2)=(x1,y1) and (1,2)=(x2,y2)
[tex]\sqrt{(5-1)^2+((-2)-2)^2}[/tex]
[tex]\sqrt{16+16}[/tex]
[tex]4\sqrt{2}[/tex]
Hope that helps :)
A person places $3090 in an investment account earning an annual rate of 3%,
compounded continuously. Using the formula V = Pet, where V is the value of the
account in t years, P is the principal initially invested, e is the base of a natural
logarithm, and r is the rate of interest, determine the amount of money, to the
nearest cent, in the account after 11 years.
Answer:
$4298.10
Step-by-step explanation:
Using the relation :
V = Pe^rt
P = 3090 ; r = 3% = 0.03 ; t = 11 years
V = 3090 * e^(0.03 * 11)
V = 3090 * e^0.33
V = 3090 * 1.3909681
V = 4298.0915
Amount in the investment after 11 years will be $4298.10
If each quadrilateral below is a rectangle, find the missing measure.
please help :(
Answer:
m<JMK = 54
m<JKH = 63
m<HLK = 90
m<HJL = 27
m<LHK = 63
m<JLK = 27
Step-by-step explanation:
1. Solve for m<JMK
It is given that (<HMJ) and (<JMK) form line (HK), meaning that they are supplementary angles. Thus, their degree measures add up to (180), using this one can form the following equation,
(<HMJ) + (<JMK) = 180
126 + (<JMK) = 180
(<JMK) = 54
2. Solve for m<JKH
It is given that the figure is a rectangle, one of the properties of a rectangle is that diagonals are congruent, and the diagonals bisect each other. This means that segments (JM) and (MK) are congruent. Hence, the triangle (JMK) is an isoceles triangle. Therefore, one can use the base-angles theorem, which states that (<MJK) is congruent to (<JKH). Since the sum of angle measures in any triangle is (180), one can form the following equation,
(<JMK) + (<MJK) + (<JKH) = 180
54 + 2(<JKH) = 180
<JKH = 63
3. Solve for m<HLK
As per its definition, the corner angles in a rectangle are always (90) degrees, this property is applicable for the given rectangle. Thus, (<HLK) = 90 degrees.
4. Solve for m<HJL
To solve for this angle, one can use similar logic as they did to solve for (<JKH). Form the following equation and solve,
(<HMJ) + (<HJL) + (<JHK) = 180
126 + 2(<HJL) = 180
(<HJL) = 27
5. Solve for m<LHK
The vertical angles theorem states that when two lines intersect, the opposite angles are congruent. One can apply this theorem here and say (<JMK) = (<HML). Then, to solve for this angle, one can use the same logic that they used to solve for (<JKH) and (<HJL). Form the equation and solve,
(<HML) +(<LHK) + (<HLJ) = 180
54 + 2(<LHK) = 180
<LHK = 63
6.Solve for m<JLK
To solve for this angle, one can use the same logic that they used to solve for (<LHK). Form the equation and solve,
(<LMK) + (<JLK) + (HKL) = 180
126 + 2(<JLK) = 180
<JLK = 27
Hanna wants to estimate the number of eels in a lake
9
It costs only $0.25 per hour to play at Cybernet Cafe, but
there is a one-time membership fee of $25.00. Which
equation could you use to find the total cost D, in dollars,
of playing for n number of hours? Please give explanation and dont just put anything down for points
A D = 25n + 2500
B D = 0.25n + 25
с
D
n = + 25
0.25
Dn= 0.250D + 25)
Step-by-step explanation:
Fixed Cost = $25 membership fee
Variable Cost = $0.25 per hour of play
Given n is the number of hours played and D is the total cost,
D = Fixed cost + variable cost($0.25 x n hours)
[tex] = 25 + 0.25n[/tex]
How many solutions does the system of linear equations represented in the graph below have?
A
No Solution
B
One Solution
C
Infinitely many solutions
D
None of the above
Answer:
No solution
Step-by-step explanation:
They must intersect to have one solution. For infinite many solutions, the lines would be on top of each other.
Use Guauss-jordan elimination to solve the following system of equations.
3x + 5y = 7
6x - y = -8
Answer:
(-1,2)
Step-by-step explanation:
Write out the system in a matrix
3 5 7
2(6 -1 -8 ) Multiply row two by five and add to row one.
1 0 -1 Multiply row 1 by -6 and add it to row two.
6 -1 -8
1 0 -1
0 -1 -2 Multiply bottom row by -1
1 0 -1
0 1 2
x=-1, y=2
In the 2009 NFL regular season, quarterback Drew Brees of the New Orleans Saints had an average of 293 passing yards per game with a
standard deviation of 74 yards. Between which two values do you expect the middle 95% of his performances to be?
Your answer:
0 0 and 515
219 and 367
O 0 and 415
145 and 441
Clear answer
Answer:
Drew Christopher Brees (/briːz/;[1] born January 15, 1979) is a former American football quarterback who played in the National Football League (NFL) for 20 seasons.[2] A member of the New Orleans Saints for most of his career, Brees is the NFL leader in career pass completions, career completion percentage, and regular season passing yards, along with being second in career touchdown passes and career pass attempts. He also holds the record of consecutive games with a touchdown pass, breaking the feat held by Johnny Unitas for 52 years.
Whoever can answer c please help me this is for a grade
pyramid A: 16 + [tex]8\sqrt{5[/tex]
pyramid B: 400 + [tex]8\sqrt{125[/tex]
pyramid A: 4 by 4= 16 cm.
with a height of 1 and length of 2, we use pythagorean theorem to find height of other surfaces to be square root of 5. area of triangle is 1/2 bh
square root of 5 multiplied by 4 and divided by 2 is 2 root 5
multiply this by 4 sides total for 8 root 5
Add the 8 root 5 to 16
To find pyramid B: use ratio of 25:1 and multiply 16 by 25 to find 400, and root 5 to 125
simplify |x+3| if x>5
Answer:
[tex]x > 3[/tex]
Step-by-step explanation:
[tex] | x + 3 | where \: x \: not \: equal \: to \: 5 \: and \: greater \: than \: 5 \\ [/tex]
[tex]x + 3 > 5[/tex]
[tex]x > 5 - 2[/tex]
[tex]x > 3[/tex]
Ella has a part-time job selling cupcakes at a cart in the park. She is paid $25 for a shift plus a fee of $0.25 for each cupcake she sells. A) Write and equation that can be used to solve for the total amount, t, Ella earns for working a shift in the park and selling c cupcakes. Ella works a shift and earns $38. B. Use the equation you wrote for part A to solve for the number of cupcakes Ella sold during her shift. Show your work. In the summer, the average number of cupcakes sold during a weekday shift is 36 and the average number of cupcakes sold during a weekend shift is 62. Ella has been given the choice to work a regular schedule of 3 weekday shifts each week or 2 weekend shifts each week. C. Explain which schedule will allow Ella to earn $300 more quickly. Support your answer with mathematical evidence, and state which shift Ella should choose.
9514 1404 393
Answer:
A) t = 0.25c +25
B) c = 52
C) 3 weekday shifts
Step-by-step explanation:
A. The amount Ella earns is $0.25 per cupcake, so for c cupcakes, that is ...
0.25c
In addition, she is paid $25, so her total amount she is paid is ...
t = 0.25c +25
__
B. In order to earn $38, the number of cupcakes sold must be ...
38 = 0.25c +25
13 = 0.25c . . . . . . subtract 25
52 = c . . . . . . . . . multiply by 4
Ella sold 52 cupcakes to earn $38.
__
C. On one of the average weekdays, Ella could be expected to earn ...
t = 0.25(36) +25 = 34
Then for 3 weekday shifts, her earnings would be 3($34) = $102. (It would take Ella 3 weeks to earn $300.)
On one of the average weekend shifts, Ella could be expected to earn ...
t = 0.25(62) +25 = 40.50
Then for 2 weekend shifts, her earnings would be 2($40.50) = $81. (It would take Ella 4 weekends to earn $300.)
Ella would earn $300 more quickly by working weekday shifts.
Mary takes out a loan for $ 5 , 000 at a simple interest rate of 3.5 % to be paid back in 36 monthly installments. What is the amount of her monthly payments?
the marked price of an article is 35% more than that of cost price.If the article is sold allowing 15% discount,profit becimes Rs.200.Find the MP and Cp of the article.
Answer:
B
Step-by-step explanation:
Is figure B a scale copy of Figure A ?? Yes Or No
Answer:
No
Step-by-step explanation:
Figure A has an horizontal length of 2 units and a vertical length of 2 units.
Figure B has an horizontal length of 9 units and a vertical length of 7 units
Thus:
Horizontal length of Figure B / Horizontal length of figure A = 9/2
Horizontal length of Figure B / Horizontal Length of Figure A = 7/2
Thus,
9/2 ≠ 7/2
This implies that their corresponding lengths are not corresponding to each other. Therefore, Figure B is not a scale copy of Figure A.
what is the common denominator for 3/5 and
what is the common dneominter for 5/8
Answer:
The common denominator would be 40
Step-by-step explanation:
The scatter plot shows the average price of a major-league baseball ticket from 1997
to 2006.
Use the points (2001, 17.60) and (2002, 18.75) to write the slope-intercept form of equation for the line of fit Baseball Ticket Prices shown in the scatter plot.
Line of Fit:_________
b. Use your equation to tell the price of a ticket in 2009. Is this extrapolation or interpolation?
Answer:
a) y = [tex]\frac{23}{20}[/tex] x + 13
b) ticket price in 2009 would be $23.35 by extrapolation
Step-by-step explanation:
Somebody please help!!!
I believe it's 2/3
Hope that helps
Consider the following problem: a box with an open top is to be constructed from a square piece of cardboard, 3 feet wide, by cutting out a square from each of the four corners and bending up the sides. Find the largest volume that such a box can have. (a) Draw several diagrams to illustrate the situation, some short boxes with large bases and some tall boxes with small bases. Find the volume of each configuration. Does it appear that there is a maximum volume
Answer:
) See annex
b) See annex
x = 0,5 ft
y = 2 ft and
V = 2 ft³
Step-by-step explanation: See annex
c) V = y*y*x
d-1) y = 3 - 2x
d-2) V = (3-2x)* ( 3-2x)* x ⇒ V = (3-2x)²*x
V(x) =( 9 + 4x² - 12x )*x ⇒ V(x) = 9x + 4x³ - 12x²
Taking derivatives
V¨(x) = 9 + 12x² - 24x
V¨(x) = 0 ⇒ 12x² -24x +9 = 0 ⇒ 4x² - 8x + 3 = 0
Solving for x (second degree equation)
x =[ -b ± √b²- 4ac ] / 2a
we get x₁ = 1,5 and x₂ = 0,5
We look at y = 3 - 2x and see that the value x₂ is the only valid root
then
x = 0,5 ft
y = 2 ft and
V = 0,5*2*2
V = 2 ft³
find the root of 51 and 21
Answer: the root of 51 is 7.141 and the root of 21 is 4.583
Step-by-step explanation:
1. (G.SRT.8) Using the given triangle below, determine the value of
X.
A 42
B. 56°
C. 48
D. 37
18
27
Answer:
(A). 42°
Step-by-step explanation:
In ΔBCD, the measure of ∠D=90°, the measure of ∠B=22°, and DB = 44 feet. Find the length of BC to the nearest tenth of a foot.
Answer: 47.5 ft
Step-by-step explanation:
since this is a right triangle, you can use trig to solve for x:
cos 22° = [tex]\frac{44}{x}[/tex] (cos = adjacent/hypotenuse)
x * cos 22° = 44
x = [tex]\frac{44}{cos 22}[/tex] (plug into calc)
x = 47.5 ft
ZABD and ZDBC are supplementary angles.
What is the measure of x?
X = [?]°
7D
110%
AK
>C
C С
B
Angles are not drawn to scale.
Enter
Answer:
Measure?
Step-by-step explanation:
Could u like explains more pls?
Answer:
x=70°
Step-by-step explanation:
x+110=180 linear pair
x=180-110=70
Solve the equation 4(c-3) = 8
What are the two ways to start solving this equation? Choose BOTH ways.
1. Use the distributive property to get 4c- 12 = 8
2. Use the distributive property to get 4c - 3 = 8
3. Add 3 to both sides to get 4c = 11
4. Divide both sides by 4 to get c - 3 = 2
5. Subtract 4 from both sides to get c - 3 = 4
Answer:
Use the distributive property to get 4c-12=8
Divide both sides by 4 to get c-3=2
Step-by-step explanation:
Determine whether y= 1 is a solution to 10 = y-9.
Answer:
y = 19
Step-by-step explanation:
19-9=10
y = 19
No, it cannot equal one because if it did the answer would be -8. If you add 10 and 9 it is equal to 19, which means that y=19.
Please help this is super confusing
it's 26 because u count the squares in the poygon
Cooper weights 20 pounds. When he is an adult dog, he will weigh about 315% of his current weight. Write 315% as a fraction and a decimal.
Answer:
3.15 and 3 3/20
Step-by-step explanation:
315 ÷ 100 = 3.15
3.15 = 3 3/20
Please mark me brainlest
Easy math question, many points!
Answer:
The picture isnt loading......
Step-by-step explanation:
Simplify (10^-2/
10^3)^-1
0 -100,000
1
10
1
1
10
100,000
DONE
Answer:
huh?
Step-by-step explanation:
Answer:
the answer is D. 100,000.
Step-by-step explanation:
I'm a very big brain specimen.