Answer:A)
A shape has four sides if and only if it's a quadrilateral.
Step-by-step explanation:
If a conditional statement and its converse are both true, then the statement is a biconditional statement. Biconditional statements can be written using the phrase “if and only if.” For example, a polygon is a hexagon if and only if it has six sides.
Which of the following rules describes the function graphed below?
Output = Input
Output = 2 • Input − 1
Output = Input + 2
Output = 3 • Input − 2
Answer:
Output= 3 • Input - 2
Step-by-step explanation:
x | y
3 • x - 2
--------------
1 | 1
2 | 4
3 | 7
4 | 10
Answer: last option - output=3 · input - 2
Step-by-step explanation:
Can anyone help me out here?
Answer:
J. 19.7
Step-by-step explanation:
SOH(sine = opposite side/hypotenuse) CAH TOA
sin 80° = RS/20
=> 0.985 = RS/20
=> RS = 20 × 0.985 = 19.7
What is the approximate circumference of a circle that has a center at (6,2) and passes through the point (20,2)? (Use 3.14 as an approximation for pi)
answers : 126,88,63,44
Answer:
C = 88
Step-by-step explanation:
So, we know that the circle passes thru the point (20,2), and it's center is (6,2).
The general definition of a circle's radius is the distance from the center to any point on the circle!
Vertically, these points are the same - so if we just subtract 20 from 6 we know the distance between the center and this point on the circle!
[tex]20 - 6 = 14\\r=14[/tex]
Anyhow, we now know that the radius is 14. and the equation for a circle's circumference is as follows:
[tex]r2\pi \\or\\d\pi[/tex]
Insert the values into the equation....
[tex]C = 3.14(14)(2)\\C=87.92[/tex]
87.92 ≈ 88.00
Have a nice day, fam. Spread The Love <3
The base and height of a triangle are 9 yards and 10 yards respectively. Find the area of the triangle.
Answer:
45
Step-by-step explanation:
1/2×9×10
since the formula says half base times height, so therefore
Area =45
Triangle UVW has a perimeter of 11.5 units. Solve for y.
Answer:
The answer for y is 4 units
Step-by-step explanation:
The obvious question to ask in this situation is, “how many miles does Joseph travel on Mondays”? To compute, we each distance: 3 + 6 + 6 = 15.
Joseph travels 15 miles on Mondays.
Another way to work with this situation is to draw a shape that represents Joseph’s travel route and is labeled with the distance from one spot to another.
Notice that the shape made by Joseph’s route is that of a closed geometric figure with three sides (a triangle) (see figure 2). What we can ask about this shape is, “what is the perimeter of the triangle”?
Perimeter means “distance around a closed figure or shape” and to compute we add each length: 3 + 6 + 6 = 15
Our conclusion is the same as above: Joseph travels 15 miles on Mondays.
However, what we did was model the situation with a geometric shape and then apply a specific geometric concept (perimeter) to computer how far Joseph traveled.
Answer:
4 units
Step-by-step explanation:
An investor wants to invest up to $100,000 as follows:
X amount into a Certificate of Deposit (CD) that yields an expected annual return of 1% with a risk index of 1,
Y amount into a Bond with an expected annual return of 3% and a risk index of 4,
Z amount into a Stock with an expected annual return of 7% and a risk index of 8.
The investor’s objective is to maximize the total expected annual return of the investment.
However, to be prudent, the investor requires that:
The fraction of the total investment in X must be at least 20%.
The fraction of the total investment in Z must not exceed 50%.
The combined portfolio risk index must not exceed 5.
Required:
a. Set up this investment problem as a linear program, which has 3 variables, 3 basic constraints, and 4 special constraints.
b. Use an LP software to find the maximum expected annual return in dollars and the dollar values of X, Y, and Z for this best investment.
c. From the software solution, show the values of the dual variables for the four special constraints.
Answer:
a-The Linear Model is as follows:
[tex]X+Y+Z\leq 100,000\\{0.001X}\geq 20\\{0.001Z}\leq 50\\0.00001X+0.00004Y+0.00008Z\leq5\\X\geq0\\Y\geq0\\Z\geq0[/tex]
b-The values are
X=$33,333.33
Y=$16,666.67
Z=$50,000.00
Leading to a total expected return of $4333.33.
c-The values of constraints are as follows
X+Y+Z=33333.33+16666.67+50000=100,000
X=33%, Y is 16.67% and Z is 50%
Risk component of X is 0.33
Risk component of Y is 0.66
Risk component of Z is 4.00
Step-by-step explanation:
a
From the conditions, the first special constraint is the total amount which is that the sum of investments must not be more than the total available amount of $100,000 so
[tex]X+Y+Z\leq 100,000[/tex]
The second special constraint is that the percentage of X must be at least 20% So
[tex]\dfrac{X}{100,000}\times100 \geq20\\\dfrac{X}{1000} \geq20\\{0.001X}\geq 20[/tex]
The third special constraint is that the fraction of total investment of Z must not exceed 50% So
[tex]\dfrac{Z}{100,000}\times100 \leq50\\\dfrac{Z}{1000}\leq 50\\0.001Z\leq50[/tex]
The fourth special constraint is that the combined portfolio risk index must not exceed 5 so
[tex]\dfrac{X}{100,000}\times1+\dfrac{Y}{100,000}\times4+\dfrac{Z}{100,000}\times8\leq5\\0.00001X+0.00004X+0.00008Z\leq5[/tex]
As the investments cannot be negative so three basic constraints are
[tex]X\geq0\\Y\geq0\\Z\geq0[/tex]
The maximization function is given as
[tex]f(X,Y,Z)=\dfrac{X}{X+Y+Z}\times1\%+\dfrac{Y}{X+Y+Z}\times3\%+\dfrac{Z}{X+Y+Z}\times7\%\\f(X,Y,Z)=\dfrac{X}{X+Y+Z}\times0.01+\dfrac{Y}{X+Y+Z}\times0.03+\dfrac{Z}{X+Y+Z}\times0.07[/tex]
b
By using an LP solver with BigM method the solution is as follows:
X=$33,333.33
Y=$16,666.67
Z=$50,000.00
Leading to a total expected return of $4333.33.
c
The values of constraints are as follows
X+Y+Z=33333.33+16666.67+50000=100,000
X=33%, Y is 16.67% and Z is 50%
Risk component of X is 0.33
Risk component of Y is 0.66
Risk component of Z is 4.00
320÷÷((11−9)32(11−9)32) x 8 =
320÷((11−9)32(11−9)32) x 8
320÷((352-288)(352-288) x 8
320÷(64 x 64) x 8
320÷4096 x 8
0.078125 x 8
0.625
Answer:0.625
Find the value of x in the triangle shown below.
a. x=80
b. x=48
c. x= 32
d. x=12
Answer:
solution given:
by using Pythagoras law:
h²=p²+b²
x²=8²+4²
x=√80units
please help me In exponents we have to write
Answer:
1. -3/13
2. (simplified) 8 / (exponential form) 2^3
3. 1265625/16384
4. 5
Step-by-step explanation:
no need for explanation just try the app Photo math (no space in the photo and math)
como usar a camera frontal do nokia?
Answer:
Toque para cambiar a la cámara frontal.
Step-by-step explanation:
am i correct if not pelase hep
Answer:
Step-by-step explanation:
12 feet
14. The Manilow family paid their electric bill using balanced billing all last year. The monthly
payment was m dollars. At the end of the year, the electric company told them they used more
electricity than they were billed for, and they owed d dollars. Express the value of the electricity
used by the Manilows last year algebraically.
Z
Answer:
12mx
Step-by-step explanation:
Given that
The monthly payment was m dollars
And, they used more electricity
We need to determine the value that should be expressed in algebraically
The Monthly payment is m dollars
Using balance billing, it would be mx dollars
So, the equation is
= mx × 12
= 12mx
hence, the same would be relevant and considered too
If m\angle A=(6x+10)^{\circ}∠A=(6x+10) ∘ and m\angle B=(4x+30)^{\circ}∠B=(4x+30) ∘ , then find the measure of \angle B∠B.
A=6 × + 10=88555%__/455
Ill give brain just helpppp
Answer:
Hey, gm!
Step-by-step explanation:
With what? Let me know :)
Have a nice day <3
Use the rules for long divisions to divide 262by9
Answer: 29. 1
Step-by-step explanation:
Find the volume of the figure to the nearest tenth.
Answer:
150.8
Step-by-step explanation:
[tex]v = \frac{4}{3} \pi \:{r}^{2} \\ v = \frac{4}{3} \pi \:{6}^{2} \\ v = 150.8[/tex]
Hopefully this'll help you out!
b. If the radius of a circle is r сm, what
is the measure of its circumference?
Answer:
[tex]2 \times \pi \: \times r[/tex]
is the circumference of the circle
Answer:
Step-by-step explanation:
If the radius of a circle is r cm then
circumference = 2πr
Not sure if this is the answer?
Answer:
x = 16
Step-by-step explanation:
Based in the tangent-secant theorem, we have the following equation showing the relationship between the secant and the tangent:
(2 + x)*2 = 6²
4 + 2x = 36
Subtract 4 from both sides
2x = 36 - 4
2x = 32
Divide both sides
2x/2 = 32/2
x = 16
13.) In 1990, a radio costs $25. Now,
the radio costs $5. What is the
percent of change?
Answer:
Step-by-step explanation:
80% of 25 = 5
because 10% of 25 = 2.5
and then 10 x 8 = 80
so 2.5 x 8 = 20
25 - 20 = 5
therefore, the percentage change is 80%
GIVE BRAINLIEST
hope this helped,
-cheesetoasty
The queen of hearts, queen of diamonds, queen of spades, and queen of clubs are taken out of a deck of cards. They are to be put in 3 places on a table. In how many different ways can they be placed in the 3 spots?
Answer:
Hello There!!
Step-by-step explanation:
The answer is 52.
hope this helps,have a great day!!
~Pinky~
Find the area of the figure.
PLS I NEED HELP FAST!
55 ft
base + base2 / 2 x h
PLZ HELP I WILL MARK BRAINLIEST
Answer:
Image wont load can you explain the problem to me through comments pls?
Step-by-step explanation:
The vertices of a quadrilateral are M(-1,1), N(1,-2),O(5,0), and P(3,3).
Which statement describes quadrilateral MNOP?
Quadrilateral MNOP is a rhombus, but not a square.
Quadrilateral MNOP is a rectangle.
Quadrilateral MNOP is a trapezoid.
Quadrilateral MNOP is a parallelogram, but not a rectangle
Answer:
Quadrilateral MNOP is a rectangle.
Step-by-step explanation:
Quadrilateral MNOP is a parallelogram, but not a rectangle.
What is a rhombus?
A rhombus is a quadrilateral with all equal sides but angles not right angles. Diagonals of a rhombus intersect at 90°.
M(-1,1), N(1,-2),O(5,0), and P(3,3)
MN=√13
NO=√20
OP=√13
PM=√20
This means opposite sides are equal.
Slope of MN = -2/3
Slope of NO=2
The Slope of MN * The Slope of NO =-4/3 ≠ -1
This means the angle between adjacent sides is not equal to 90°
This means MNOP is not a rectangle
The Slope of MO = -6
The Slope of NP = 2/5
The Slope of MO * The Slope of NP =-12/5 ≠ -1
This means diagonals do not intersect at right angles.
This means MNOP is not a rhombus.
Slope of MN = -2/3
Slope of OP = -2/3
Slope of MN =Slope of OP
Similarly, Slope of MP =Slope of NO
So, quadrilateral MNOP is a parallelogram, but not a rectangle.
Thus, quadrilateral MNOP is a parallelogram, but not a rectangle.
To get more about rhombus visit:
https://brainly.com/question/20627264
SOLVE
270.6 is 16 1/2% OF WHAT NUMBER?
WILL GIVE BRAINLIST
X
X
X
X
X
X
X
Answer:
approximately
1623.6
Step-by-step explanation:
16 1/2%=.165 which is approximately equal to 1/6, so we can just multiply the original number by 6.
Maria had $3,500 and invested it into an account with an annual
interest rate of 1.2%. If her investment were compounded monthly,
write an eqaution to find the value of her investment after t years.
Answer:
FV= $3,716.32
Step-by-step explanation:
Giving the following information:
Initial investment (PV)= $3,500
Interest rate (i)= 1.2% compounded monthly
First, we need to determine the monthly nominal interest rate:
Monthly interest rate= 0.012/12= 0.001
Now, to calculate the future value after 't' months, we need to use the following formula:
FV= PV*(1 + i)^t
For example, for 60 months:
FV= 3,500*(1.001^60)
FV= $3,716.32
The veterinarian’s practice had dog and cats clients. The number of dog clients was 5/6 of the number of cat clients. If the total number of clients was 924, how many dog clients and how many cat clients did the veterinarian have?
Answer:
Dog Clients = 770
Cat Clients = 154
Step-by-step explanation:
1) We are given 5/6 and the number 924. To find the total dog clients, we need to multiply 5/6 by 924 = 770.
2) To find the cat clients, we subtract the dog clients (770) from the total amount of clients, which gives us 154
DE is a midsegment of ABC . Find the value of x.
Answer:
if from a to e is 6 un, then x maybe 6 un as well
Step-by-step explanation:
Jessica records the number of winners at a Dunga teacher booth at the town fair as shown in the table if there is 750 contestants on Monday how many should Jessica expect to a Dunka teacher
PLEASE HELP ME TO ANSWER THIS QUESTION.
A right pyramid PQRST has a rectangular base QRST. Given
that W is the midpoint of QS and RT, the lengths of QT = 8 cm,
TS = 6 cm and point P is vertically above point W, calculate
(a) PT, in cm, if PW = 12 cm
(b) the value of < PTR [angle PTR]
THANK YOU!!!
Answer:
(a) PT = 13 cm
(b) <PTR = [tex]39.7^{o}[/tex]
Step-by-step explanation:
(a) Applying the Pythagoras theorem to QST, we have;
[tex]QS^{2}[/tex] = [tex]ST^{2}[/tex] + [tex]QT^{2}[/tex]
= [tex]6^{2}[/tex] + [tex]8^{2}[/tex]
[tex]QS^{2}[/tex] = 36 + 64
100
QS = [tex]\sqrt{100}[/tex]
= 10
QS = 10 cm
Since QS = TR, then;
WT = [tex]\frac{1}{2}[/tex] TR
= [tex]\frac{1}{2}[/tex] x 10
WT = 5 cm
Thus, applying Pathagoras theorem to PWT;
[tex]PT^{2}[/tex] = [tex]PW^{2}[/tex] + [tex]WT^{2}[/tex]
= [tex]12^{2}[/tex] + [tex]5^{2}[/tex]
= 144 + 25
[tex]PT^{2}[/tex] = 169
PT = [tex]\sqrt{169}[/tex]
= 13
PT = 13 cm
(b) To determine <PTR, TR = 10 cm. Apply the required trigonometric function;
Cos θ = [tex]\frac{adjacent}{hypotenuse}[/tex]
Cos θ = [tex]\frac{10}{13}[/tex]
= 0.7692
θ = [tex]Cos^{-1}[/tex] 0.7692
= 39.7179
θ = [tex]39.7^{o}[/tex]
Therefore, <PTR = [tex]39.7^{o}[/tex]
2. Ask. Which of the following statements should occur?
A. x = 6:
B. x <3:
C. x> 0:
D. x ^ 2 x:
F. Leave the question unanswered