9514 1404 393
Answer:
(d) 8
Step-by-step explanation:
Corresponding sides are proportional.
ED/EG = EC/EF
(6x +3)/17 = (8x -1)/21
21(6x +3) = 17(8x -1)
126x +63 = 136x -17
80 = 10x . . . . . . . . . . . add 17-126x
8 = x . . . . . . . . . . divide by 10
Sike this system of equations by graphing . First graph the equations and then type the solution y=7/2x+3 y=-x-6
Answer:
I’ve got the graphs for both equations below.
With y = 7/2x + 3
y = -x-6
I used substitution with simultaneous equations and got x = -2 and y = -4 :)
Help plssss??????????
Answer:
x = 93
Step-by-step explanation:
The measure of a straight line is 180°. So,
x + 87 = 180
Subtract 87 from both sides.
x = 93
I hope this helps! Feel free to ask any questions!
Answer:
Step-by-step explanation:
87° + x° = 180°
x° = 180° - 87°
x° = 93°
Three friends share 4 packs of Expo Markers.
How much of the pack will each friend
receive?
Answer:
1 1/3
Step-by-step explanation:
4/3 = 1 1/3
I GIVE BRAINIEST!
Someone please help me with question one through four
1.) Reduction
As you can see Triangle A was reduced in size as a result of Triangle B
2.) Enlargement
Square A is much smaller than square B, making this an enlargement
3.) Enlargement
The quadrilateral shown here gets larger with quadrilateral B
4.) Reduction
This object gets vividly smaller as shown on the graph, making it a reduction
Divide the equation.
Answer:
3y+3
Step-by-step explanation:
I hope this works
If the company were to issue an annual zero-coupon bond with a maturity of 2 years and a par value of $1,000, what would be the arbitrage-free price of that bond?
Answer:
Step-by-step explanation:
[tex]\text{here is the missing text:} \\ \\ \text{ Suppose a company issues an annual coupon bond with a maturity of 2 years,} \\ \\ \text{ price of $950 \ par \ value \ of $1,000, and coupon rate of 5\% They also issue an}[/tex]
[tex]\text{ annual zero-coupon bond with a maturity of 1 year, price of $900, \ and \ par \ value \ of \ $1,000.}[/tex]
[tex]\text{To determine the 1-year spot rate using the 1-year zero bond.} \\ \\ FV = PV \times (1 + S_1) \\ \\ 1+ S_1 = \dfrac{FV}{PV} \\ \\ 1 + S_1 = \dfrac{1000}{900} \\ \\ S_1 = 11.11\%[/tex]
[tex]\text{PV of the 2-year bond = 950} \\ \\ Annual coupon = 1000 \times 5\% = \$50 \\ \\ \\ 950 = \dfrac{50}{(1+S_1) }+ \dfrac{(50+1000)}{(1+S_2)^2} \\ \\ 950 = \dfrac{50}{1.1111}+ \dfrac{1050}{(1+S_2)^2} \\ \\ \dfrac{1050}{(1+S_2)^2}=950 -45\\ \\ \dfrac{1050}{(1+S_2)^2}=905 \\ \\ (1+S_2)^2 = \dfrac{1050}{905} \\ \\ 1 + S_2= \sqrt{(1.16022)} \\ \\ S_2 = 7.714\%[/tex]
[tex]\text{the arbitrage-free price of the 2-year bond}= \dfrac{1000}{(1+0.07714)^2} \\ \\ = \mathbf{\$861.90}[/tex]
Two vertices of a right triangle have coordinates (3, 7) and (3, 10). The segment that connects these points is a leg of the triangle. Which set of coordinates for the third vertex would create a right triangle? (4, 4) (8, 7) (4,8) O (78)
Answer:
(8,7)
Step-by-step explanation:
Find the horizontal perpendicular to the vertical
Answer:
(8,7) Is what I got from k 12 if that's where you got the question
Hope this helps! Have a blessed day!A school district currently has 12,000 students. Based on declining enrollment figures, the number of students in the school district is expected to decline by 5% each year. Which of the following functions represents the number of students,
S
, in the school district after
n
years?
Answer:
Step-by-step explanation:
[tex]\text{Since the enrollment decreases every year this is exponential decay of the form}\\ \\ F=Ir^t\\ \\ F=12000(1-.05)^t\\ \\ S(n)=12000(0.95)^n[/tex]
I need help figuring this problem out
Answer:
1. 28
2. 53
Step-by-step explanation:
1. The angle CFD is a straight line, this means that the measure is 180. This means, using the angle addition postulate, you can set up the equation [tex]180=x+152[/tex]. Then, subtract 152 from both sides to get [tex]x=28[/tex].
2. The question states that the two angles are complementary. This means that they summate to 90 degrees. So using the angle addition postulate again, you can set up the equation, [tex]90=x+37[/tex]. Finally, subtract 37 from both sides to get [tex]x=53[/tex].
Read carefully and choose the name of the student who made the correct statement ..... HELPPP
Answer: pretty sure lily is right
Step-by-step explanation:
Answer:
Louis is right
Step-by-step explanation:
it looks like she spent about 15$ on coffee one week
905=5a please help me i don't know what this is
Step-by-step explanation:
905÷5=5a÷5
there for a=181
What is the height?
Assuming that 6.8 means the area of the triangle, the height would be 1.94.
If this is incorrect, please, don't refrain to tell me. Thank you.
Please help, will mark brainliest.
9514 1404 393
Answer:
a) x = {-1, 3, 4}
b) (0.472, 13.128)
c) (3.528, -1.128)
d) x < 0.472 U x > 3.528
e) 0.472 < x < 3.528
Step-by-step explanation:
This is a cubic (odd degree) function with a positive leading coefficient, so it will be increasing until the first turning point, and after the last turning point. It will be decreasing between the turning points.
a) A graph shows the zeros to be x = -1, x = 3, x = 4.
b) A graph shows the local maximum to be approximately (0.472, 13.128). The x-coordinate of this point is exactly 2-√(7/3).
c) The local minimum is about (3.528, -1.128). Its x-coordinate is exactly 2+√(7/3).
d) As stated above, the increasing intervals are (-∞, 0.428) ∪ (3.528, ∞).
e) The decreasing interval is (0.428, 3.528).
_____
Additional comments
The sum of odd-degree term coefficients is the same as the sum of coefficients of even-degree terms, so you know one of the roots is -1. Factoring that out gives the quadratic x^2 -7x +12 = (x -3)(x -4), so the other two roots are 3 and 4.
The derivative is 3x^2 -12x +5 = 3(x -2)^2 -7, so its roots (turning points of f(x)) are 2±√(7/3).
I find a graphing calculator can show me the roots and turning points easily.
Can someone please help me with 1,2 please
Answer:
1) This HAS a right angle
2) This is an obtuse triangle
Step-by-step explanation:
1)
4² + 3² = 5²
16 + 9 = 25
25 = 25 ✅
2)
5² + 6² = 8²
25 + 36 = 64
61 ≠ 64 ❌
Since c is bigger, this is an obtuse triangle
(PLEASE HELP ME ASAP‼️)
Andrea spins the arrow on the spinner one time.
What is the probability that the arrow will land on a part of the circle that has a star?
Answer:
1
Step-by-step explanation:
I really can't give you a step-by-step
Work out the value of x. The diagram is not drawn to scale.
Answer:
-3
Step-by-step explanation:
6x+26+6x+36+5x+10+3x-10+4x+10=0
=24x=-72
=-3
For each triangle, check all that apply.
Triangle A
Triangle B
Triangle C
13
14
les
7
12
14
14
14
ard
Scalene
Isosceles
Equilateral
Scalene
Isosceles
Equilateral
Scalene
Isosceles
Equilateral
Answer:
A Scalene
B Isosceles
C Equilateral
Explanation: Interior angles are all different To see why this is so, imagine two angles are the same. The triangle would then be an Isosceles triangle, which has two sides the same length. Similarly, if all three angles are the same, it would be an equilateral triangle and all three sides would be the same length.
BRAINLIEST! ANSWERS on here are all wrong please very desperate will give anything for correct answer. Thanks
Answer: 1.C 2.B 3.C
Step-by-step explanation:
I don't get it please help me and please clarify your explanations , thank you sm
Answer:
a1=12
a6=12
a5=20
a3=20
a4=15
a2=15
as=94
Step-by-step explanation:
it is asking for each of the areas
I'm assuming As stands for areas summed
Answer:
a1=a6=lb=3×4=12
a5=a3=lb=5×3=15
a4=a2=lb=5×4=20
As=12×2+15×2+20×2=a1+a2+a3+a4+a5+a6=24+30+40= 94
WILL GIVE BRAINLIEST
Answer:
the height is 15
Answer:
B) 15
Step-by-step explanation:
Volume of a cone formula:
V = πr²(h/3)
D/2 = r
10/2 = r
r = 5
393 = (3.14)5²(h/3)
393 = 78.5(h/3)
h = 15.02
h = 15
WILL GIVE BRAINLIEST Which expression is equivalent to x + 11?
A. 11x
B. 11 + x
C. 11 - x
D. - x + 11
Answer:
11+x because the equation is reversabel.
Step-by-step explanation:
WILL GIVE BRAINLIEST
the distance between the 2 points is 10
A scientist began a study with a sample of 1,500 bacteriaHe noticed that the number of bacteria in the sample after t days can be modeled by the equation P = 1, 500 * 5 ^ t In this equation, what does 5 ^ t represent?
a.The number of bacteria increases by 5 bacteria each day.
B. The number of bacteria increases by a factor of t each day for 5 days.
C.The number of bacteria increases by a factor of 5 each day.
D.The number of bacteria increases by t bacteria after 5 days.
Answer:d
Step-by-step explanation:
plz i am clueless ...pic below..
Answer:
b
Step-by-step explanation:
what does 1/7 times 1/7=?
Answer:
1/49
hope it hepled:))))))))))
[tex]\frac{1}{7} *\frac{1}{7} =\frac{1*1}{7*7} =\frac{1}{49}[/tex]
Find the mean of the data in the pictograph below
Answer:
3.5
Step-by-step explanation:
14 wands
14/4=3.5
Answer:
30 wands in total
--------------------------------
30 divided by 4 is 7.5
--------------------------------
Your answer is [7.5 Wands]
Step-by-step explanation:
Need help please I'm not sure if I'm right
Answer:
58
Step-by-step explanation:
The angles inside a triangle always sum to 180°. We already have a 32° angle and a 90° - totalling 122° - and when we add x°, we'd like the sum to be 180°. So x must be 180 - 122 = 58.
Answer:
58
Step-by-step explanation:
The total should be 180 degrees. We know the the top angle is 32 degrees and the bottom left is 90 degrees because it has a square there. So 32+90=122. If we subtract 122 from 180 we are left with 58 degrees so x=58
How many cars would be needed to fit $$ passengers?
find the unit price if a dozen apples cost $4.80
Answer:
0.40 cens
Step-by-step explanation:
Pls help no links 1. 5/8_____7/8 2. 5/8_____2/8 3. 3/4_____5/6 4. 4/6_____4/8 5. 2/6_____2/4
6. 2/3_____1/3 7. 2/3_____2/4 8. 1/4_____2/4 9. 3/6_____3/8 10. 2/4_____3/4
P.S pls don't give me any links
Answer:
(7/8 - 4/5)^2 = 9/
1600
= 0.005625
Step-by-step explanation:
Subtract: 7/
8
- 4/
5
= 7 · 5/
8 · 5
- 4 · 8/
5 · 8
= 35/
40
- 32/
40
= 35 - 32/
40
= 3/
40
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(8, 5) = 40. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 8 × 5 = 40. In the next intermediate step the fraction result cannot be further simplified by canceling.
In words - seven eighths minus four fifths = three fortieths