0.55
Hope this helps :)
Answer: 0.55
This is the answer... hope this will help y'all. If I'm wrong, please tell me. Thanks ☺️
What is the area of the rectangle?
Answer:
60cm^2
Step-by-step explanation:
5 * 12 = 60cm^2
the train traveled at an average speed of 48 miles per hour for the first 2 hours and at 60 miles an hour for the next hours. What was the train's average speed for the 6-hour trip? ( Average speed equals total miles divided by total time.)
Answer: 56 mph
Step-by-step explanation:
48 miles x 2 hours = 96 miles
60 miles x 4 hours = 240 miles
240 + 96 = 360 total miles
360 / 6 (hours) = 56 mph
Find the exact values of the six trigonometric functions for angle e in standard position if a point with the coordinates (-6, 6) lies
on its terminal side.
13
Note: A value such as = can be entered as sr3/2.
Answer:
tan e = -1
cot e = -1
sin e = √2/2
cosec e = √2
cos e = -√2/2
sec e = -√2.
Step-by-step explanation:
6/6- is the tangent of e so tan e = -1.
cot e = 1/tan e = -1.
The hypotenuse of the triangle containing angle e = √(-6)^2 + (6)^2 ( By the pythagoras theorem) and = √72 = 6√2.
Therefore sin e = 6/6√2
= 1/√2
= √2/2
cosec e = 1 ./ sin e = √2.
cos e = -6 / 6√2
= -√2/2.
sec e = 1/cos e = -√2.
What catapulted object hit the ground first?
Catapult A:
h(x)= -16x^2+64x+17
Catapult B:
time- 0,0.5,1.0,1.5,2.0,2.5,3.0,3.5
height- 28,48,60,64,60,48,28,0
Answers:
Object from Catapult B
They reached the ground at the same time
Object from catapult A
It went up but then never came down
Answer:
Object from Catapult B
Step-by-step explanation:
The question is on time of flight in falling objects
Given catapult A: h(x)= -16x^2+64x+17, find the height the object will reach at time 2.0
substitute value x=2 in h(x)= -16x^2+64x+17;
h(2)= -16 × (2)² +64 ×2 +17
h(2) = -16×4 + 145
h(2)= 81
However with catapult B at t=2.0 the height reached will be 60
Solution
Catapult A object will attain h=81, when t=2.0
Catapult B object will attain h=60, when t=2.0
Thus Object from Catapult B will hit the ground first because it covered a lesser distance compared to the object from catapult A
^^^^^^^^^^^^^^^^^^^^
The answer is:
The correct option is:
A) $74.55
Why?To calculate how much does Sonya pay for the four pairs altogether, we need to calculate the original price after the 50% discount and the taxes.
Calculating we have:
[tex]PriceAfterDiscount=35*50(percent)=35*\frac{50}{100}\\\\35*\frac{50}{100}=35*0.5=17.5[/tex]
We have that before the tax, the price of the shoes was $17.5, then, calculating the price after the taxes, we have:
[tex]AfterTaxes=17.5(1+6.5(percent))=17.5(1+\frac{6.5(percent)}{100})\\\\AfterTaxes=17.5(1+\frac{6.5(percent)}{100})=17.5*(1+0.065)\\\\AfterTaxes=17.5*(1+0.065)=17.5*1.065=18.637[/tex]
So, we have that the price after discount and the taxes is $18.637 per each pair of shoes.
Hence, the price for the four pairs of shoes will be:
[tex]TotalPrice=4*18.637=74.548=74.55[/tex]
Have a nice day!
What is the value of x?
x=______units
Answer:
x = 12 unitsStep-by-step explanation:
ΔQTR and ΔRTS are similar (AAA). Therefore the corresponding sides are in proportion:
[tex]\dfrac{RT}{TS}=\dfrac{TQ}{RT}[/tex]
We have
[tex]RT=x,\ TS=9,\ TQ=16[/tex]
Substitute:
[tex]\dfrac{x}{9}=\dfrac{16}{x}[/tex] cross multiply
[tex]x^2=(9)(16)\\\\x^2=144\to x=\sqrt{144}\\\\x=12[/tex]
what does 5q + 5q equal
Answer:
10q
Step-by-step explanation:
How many 4-letter passords can be made using the letters A thought Z if...
a) Repetition of letters is allowed?
b) Repetition of letters is not allowed?
Answer:
a.)The total 4-letters passwords when repetition of letters is allowed are 456976
b.)The total 4-letters passwords when repetition of letters is not allowed are 358800
Step-by-step explanation:
Some situations of probability involve multiple events. When one of the events affects others, they are called dependent events. For example, when objects are chosen from a list or group and are not returned, the first choice reduces the options for future choices.
There are two ways to sort or combine results from dependent events. Permutations are groupings in which the order of objects matters. Combinations are groupings in which content matters but order does not.
How many 4-letter passwords can be made using the letters A throught Z if...
a)Repetition of letters is allowed?
There are only 26 possible values for each letter of the password (The English Alphabet consists of 26 letters). The total 4-letters passwords when repetition of letters is allowed are [tex]26^{4} =456976[/tex]
b) Repetition of letters is not allowed?
If repetition of letters is not allowed, we can only choose 4 letters out of 26. Using the permutation equation [tex]nP_{k} =\frac{n!}{(n-k)!}[/tex]
The total 4-letters passwords when repetition of letters is not allowed are [tex]26P_{4} =\frac{26!}{(26-4)!}=26.25.24.23=358800[/tex]
.
When repetition of letters is allowed, there are 456,976 possible 4-letter passwords that can be made using the letters A through Z. When repetition of letters is not allowed, there are 358,800 possible passwords that can be made.
Explanation:a) When repetition of letters is allowed, we have 26 choices for each of the 4 positions in the password. Therefore, the number of 4-letter passwords that can be made is 26 * 26 * 26 * 26 = 456,976.
b) When repetition of letters is not allowed, the number of choices for the first position is 26. For the second position, there are 25 choices left, since we can't repeat the letter used in the first position. Similarly, for the third position, there are 24 choices, and for the fourth position, there are 23 choices. Therefore, the number of 4-letter passwords that can be made without repetition is 26 * 25 * 24 * 23 = 358,800.
Learn more about 4-letter passwords here:https://brainly.com/question/19866551
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A news station in Oregon recorded that the low temperatures for 5 days were –3, –2, 2, 2, and 6. What was the average temperature for those days?
Answer:
Average = 1
Step-by-step explanation:
Let us define the average first:
Average is calculated by adding up all the values and then dividing the sum by total number of values.
The formula for average may be written as:
[tex]Average = \frac{Sum}{count}[/tex]
In the following case,
Sum of numbers = -3-2+2+2+6 = 5
Count = 5
So,
Average = 5/5
=> Average = 1
Answer:
the answer is 1
Step-by-step explanation:
Sum of numbers = -3-2+2+2+6 = 5
Count = 5
So,
Average = 5/5
=> Average = 1
I don’t know how to do this
first off, let's recall that supplementary angles are just two sibling angles that add up to 180°.
so we have ∡T and ∡S, but we also know that ∡T = 3∡S, namely T = 3S.
[tex]\bf T+S=180\implies \stackrel{T}{3S}+S=180\implies 4S=180\implies S=\cfrac{180}{4}\implies S=45 \\\\\\ T=3S\implies T=3(45)\implies T=135[/tex]
Which is the graph of y=[x]-2
the last one on the right
Plz help in solving these 2 questions with steps and explanation!!
Answer:
[tex]\large\boxed{Q1:\ x=2\ or\ x=5}\\\boxed{Q2:\ x=1-\sqrt{21}\ or\ x=1+\sqrt{21}}[/tex]
Step-by-step explanation:
[tex]\text{Use the quadratic formula:}\\\\ax^2+bx+c=0\\\\\text{If}\ b^2-4ac<0,\ \text{then the equation has}\ \bold{no\ solution}\\\\\text{If}\ b^2-4ac=0,\ \text{then the equation has one solution}\ x=\dfrac{-b}{2a}\\\\\text{If}\ b^2-4ac>0,\ \text{then the equation has two solutions}\ x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\==========================================[/tex]
[tex]\bold{Q1}\\\\x^2-7x+10=0\\\\a=1,\ b=-7,\ c=10\\\\b^2-4ac=(-7)^2-4(1)(10)=49-40=9>0\\\\\sqrt{b^2-4ac}=\sqrt9=3\\\\x_1=\dfrac{-(-7)-3}{2(1)}=\dfrac{7-3}{2}=\dfrac{4}{2}=2\\\\x_2=\dfrac{-(-7)+3}{2(1)}=\dfrac{7+3}{2}=\dfrac{10}{2}=5\\\\========================================[/tex]
[tex]\bold{Q2}\\x^2-2x=20\qquad\text{subtract 20 from both sides}\\\\x^2-2x-20=0\\\\a=1,\ b=-2,\ c=-20\\\\b^2-4ac=(-2)^2-4(1)(-20)=4+80=84>0\\\\\sqrt{b^2-4ac}=\sqrt{84}=\sqrt{4\cdot21}=\sqrt4\cdot\sqrt{21}=2\sqrt{21}\\\\x_1=\dfrac{-(-2)-2\sqrt{21}}{2(1)}=\dfrac{2-2\sqrt{21}}{2}=1-\sqrt{21}\\\\x_2=\dfrac{-(-2)+2\sqrt{21}}{2(1)}=\dfrac{2+2\sqrt{21}}{2}=1+\sqrt{21}[/tex]
Answer:
Step-by-step explanation:
x^2 - 7x + 10 = 0 can be factored as follows: (x - 5)(x - 2). Note that -5x -2x combine to -7x, the middle term of this quadratic, and that (-5)(-2) = +10, the constant term. Setting each of these factors = to 0 separately, we get:
x = 5 and x = 2.
x^2 - 2x = 20 should be rewritten in standard form for a quadratic equation before you attempt to solve it: x^2 - 2x - 20 = 0. This quadratic is not so easily factored as was the previous one. Let's use the quadratic formula:
-b ± √(b²-4ac)
x = --------------------
2a
Here, a = 1, b = -2 and c = -20, so the discriminant b²-4ac = (-2)^2 - 4(1)(-20), or 4 + 80, or 84. 84 has only one perfect square factor: 4·21. Because the discriminant is +, we know that this equation has two real, unequal roots.
They are:
-(-2) ± √(4·21) 2 ± 2√21
x = ---------------------- = ----------------- = 1 ± √21
2(1) 2
Can you use Pythagorean Theorem to find the missing side? Why or why not?
No. You cannot use the Pythagorean theorem to find the missing side, because you can only use The Pythagorean theorem when you are dealing with a right triangle.
g(x) to g(x)=-[x]+3 what is the domain of g(x)?
Final answer:
The domain of the function g(x) = -[x] + 3 is all real numbers because the floor function is defined for all real numbers.
Explanation:
The given function is g(x) = -[x] + 3. To determine the domain of g(x), we look for the set of all input values (x) that the function can accept.
The square brackets around x indicate that we are dealing with the floor function, which takes a real number and rounds it down to the nearest integer.
Since the greatest integer function is defined for all real numbers, the only restriction we have is when the function involves division by zero.
Since the process of rounding down to the nearest integer is defined for all real numbers, the domain of g(x) is all real numbers, which is expressed as ∞ < x < ∞ or –∞ < x < ∞.
The volumes of two similar figures are 27 mm3 and 1331 mm3. If the surface area of the smaller figure is 18 mm2, what is the surface area of the larger figure?
Answer:
242 mm²
Step-by-step explanation:
Given 2 similar figures with
ratio of sides = a : b, then
ratio of areas = a² : b² and
ratio of volumes = a³ : b³
Here the ratio of volumes = 27 : 1331, hence
ratio of sides = [tex]\sqrt[3]{27}[/tex] : [tex]\sqrt[3]{1331}[/tex] = 3 : 11, thus
ratio of areas = 3² : 11² = 9 : 121
let x be the surface area of the larger figure then by proportion
[tex]\frac{18}{9}[/tex] = [tex]\frac{x}{121}[/tex] ( cross- multiply )
9x = 18 × 121 ( divide both sides by 9 )
x = [tex]\frac{18(121)}{9}[/tex] = 2 × 121 = 242
The surface area of the larger figure is 242 mm²
I Need Help Pwease :->
******************************
Answer:
Area: 135 ft^2
Perimeter: 50 ft
Step-by-step explanation:
area:
take the rectanle so length 12 x 9 = 108 so that is the length of the rectangle and now we need to find that of the triangle left over
subract 18 - 12 = 6 so that is the base of the trianle and we know the side length is 9 so plus it in A = (9)(6)/2
A = 54/2
A = 27
add 27 + 108 to get the total area
135
perimeter:
18 + 9 + 11 + 12 = 50
For this case we have that by definition, the perimeter of the trapezoid is given by the sum of its sides:
[tex]p = 9 + 18 + 11 + 12\\p = 50[/tex]
So, the perimeter is 50ft
On the other hand, the area is given by:
[tex]A = \frac {1} {2} (b_ {1} + b_ {2}) * h[/tex]
Where:
[tex]b_ {1}:[/tex] It is the largest base
[tex]b_ {2}:[/tex] It is the minor base
h: It's the height
Substituting the values:
[tex]A = \frac {1} {2} (18 + 12) * 9\\A = \frac {1} {2} (30) * 9\\A = \frac {1} {2} (270)\\A = 135[/tex]
So, the area of the trapezoid is [tex]135 \ ft ^ 2[/tex]
Answer:
the perimeter is 50ft
the area of the trapezoid is [tex]135 \ ft ^ 2[/tex]
F(x)=(1/4)^x+1 graph
Answer:
Step-by-step explanation:
Solve
-2x+8=14
3
-11
-3
11
Answer:
-3
Step-by-step explanation:
-2x+8=14
Subtract 8 from each side
-2x+8-8=14-8
-2x = 6
Divide by -2
-2x/-2 = 6/-2
x = -3
-2x + 8 = 14
Step 1: Bring 8 to the right side of the equation. To do this subtract 8 to both sides (this is the opposite of addition and will cancel 8 from the left side)
-2x + (8 - 8) = 14 - 8
-2x + 0 = 6
-2x = 6
Step 2: Isolate x by dividing -2 to both sides (division is the opposite of multiplication and will cancel -2 from the left side)
-2x/-2 = 6/-2
x = -3
Check:
Plug -3 where you see x and solve
-2(-3) + 8 = 14
6 + 8 = 14
14 = 14...............................Correct!
Hope this helped!
Yumi is determining the seating arrangement for a big dinner party.circular tables will seat 8 guests and rectangular tables can seat 10 guests write and inequality that describes the situation let X=# of a circular tables let y =# of rectangular tables
a symmetrical distribution can help one calculate:
A. different probabilities
B. right angles
C. surface area
D. polynomials
Answer:
A. different probabilities
Can please help me with this
given the parent function f(x)=x^2 describe the graph of y=(x-5)^2-2
Step-by-step explanation:
Shift to the right 5 units and down 2 units.
Which fraction goes in the blank to make the comparison true?
Circle the letter of the correct answer
5/8<_________. A:5/8 B:4/8 C:6/8 or D:1/8
Blake chose A as the correct answer. How did he get that answer?
C is the correct answer. Good luck!
Please answer right away
For this case we have that by definition of trigonometric relations that, the sine of an angle is equal to the opposite leg to the angle on the hypotenuse. So:
[tex]Sin (36) = \frac {5} {x}[/tex]
Clearing x:
[tex]x = \frac {5} {sin (36)}\\x =\frac {5} {0.58778525}\\x = 8.517887564 [/tex]
Rounding off we have to:
[tex]x = 8.51[/tex]
Answer:
Option D
For the last 10 years, Megan has made regular semiannual payments of $1,624.13 into an account paying 1.5% interest, compounded semiannually. If, at the end of the 10 year period, Megan stops making deposits, transfers the balance to an account paying 2.3% interest compounded monthly, and withdraws a monthly salary for 5 years from the new account, determine the amount that she will receive per month. Round to the nearest cent.
a.
$616.39
b.
$615.21
c.
$39,079.25
d.
$39,154.16
Answer:
the answer is A.616.39
Step-by-step explanation:
Megan can withdraw $615.21 per month for 5 years from the new account.
Option B is the correct answer.
What is an equation?An equation contains one or more terms with variables connected by an equal sign.
Example:
2x + 4y = 9 is an equation.
2x = 8 is an equation.
We have,
To solve this problem, we need to use the formula for the future value of an annuity:
[tex]FV = P [(1 + r/n)^{n\times t} - 1]/(r/n)[/tex]
where:
P = payment per period
r = interest rate per period
n = number of compounding periods per year
t = number of years
FV = future value of the annuity
First, we can calculate the future value of Megan's semiannual payments after 10 years:
P = $1,624.13
r = 1.5%/2 = 0.0075 (semiannual interest rate)
n = 2 (semiannual compounding periods)
t = 10 years
So,
[tex]FV = 1,624.13 \times[(1 + 0.0075/2)^{2\times10} - 1]/(0.0075/2)[/tex]
= $21,070.58
Next, we need to calculate the future value of this amount when transferred to the new account:
r = 2.3% / 12 = 0.00191667 (monthly interest rate)
n = 12 (monthly compounding periods)
t = 5 years (60 months)
FV
[tex]= $21,070.58 \times (1 + 0.00191667)^{60}[/tex]
= $24,526.41
Finally, we need to calculate the monthly payment Megan can withdraw for 5 years from this account, assuming the balance is depleted at the end of the 5 years:
P = ?
r = 2.3% / 12 = 0.00191667 (monthly interest rate)
n = 12 (monthly compounding periods)
t = 5 years (60 months)
Using the formula for the present value of an annuity:
[tex]P = FV \times (r/n) / [(1 + r/n)^{n\timest} - 1][/tex]
[tex]= $24,526.41 \times (0.00191667) / [(1 + 0.00191667)^{60} - 1][/tex]
= $615.21
Therefore,
Megan can withdraw $615.21 per month for 5 years from the new account.
Learn more about equations here:
https://brainly.com/question/17194269
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If alpha and beta are the zeroes of the polynomial f(x)=x2- p(x+1) - c show that (alpha+1) (Beta +1) = 1-c
Answer:
see explanation
Step-by-step explanation:
Given
f(x) = x² - p(x + 1) - c
= x² - px - p - c ← in standard form
with a = 1, b = - p and c = - p - c
Given that α and β are the zeros of f(x), then
α + β = - [tex]\frac{b}{a}[/tex] and αβ = [tex]\frac{c}{a}[/tex], thus
α + β = - [tex]\frac{-p}{1}[/tex] = p , and
αβ = [tex]\frac{-p-c}1}[/tex] = - p - c
-----------------------------------------------------------
(α + 1)(β + 1) ← expand factors
= αβ +α + β + 1 ← substitute values from above
= - p - c + p + 1
= - c + 1 = 1 - c ← as required
Final answer:
By applying Vieta's formulas to the given polynomial, we can determine that the product (α + 1)(β + 1) equals 1 - c.
Explanation:
Given the polynomial f(x) = x2 - p(x + 1) - c, whose zeroes are alpha (α) and beta (β), we can use the relationship between the coefficients of a polynomial and its zeroes to find the value of (α + 1)(β + 1). According to Vieta's formulas for a second-degree polynomial ax2 + bx + c = 0, the sum of its roots (-b/a) is equal to α + β, and the product of its roots (c/a) equals αβ.
For this specific polynomial, a = 1, b = -p, and c = -c. Thus, we have:
α + β = p
αβ = -c
Now, let's calculate (α + 1)(β + 1):
(α + 1)(β + 1) = αβ + α + β + 1 = (-c) + (p - 1) + 1 = 1 - c
I NEED THE ANSWER FAST!!!!
Answer:
I think it’s 28 but I’m not sure
(sorry if it’s wrong)
Step-by-step explanation:
26. Pete drives 150 meters in 18 seconds. What is his speed in meters per second?
a. 8 m/s
b. 8.3 m/s
c. 8.3 m/s north
d. none of the above
All you have to do is divide 150 by 18 and that will get you how many meters Pete drives per second
150 ÷ 18
8.3333333333333333333
so...
8.3 m/s (B)
Hope this helped!
~Just a girl in love with Shawn Mendes
Speed is defined as quotient of distance and time.
[tex]
s=\frac{d}{t}=\frac{150}{18}=8.33\dots
[/tex]
Speed is a scalar value therefore we cannot determine its vector. Speed with vector is known as velocity and that is where we specify its vector because velocity is a vector value.
So the answer is 8.3 m/s.
Hope this helps.
r3t40
The length of a rectangle is 5 units and its width is 4 units. What is the approximate length of the diagonal of the rectangle?
A) 5 units
B) 6.4 units
C) 8.5 units
D) 9 units
Answer:
b
Step-by-step explanation:
using pythagoras theorem:
d=(5^2+4^2)^1/2
=6.4 units
Answer:
The approximate length of the diagonal of the rectangle = 6.4 units ⇒ B
Step-by-step explanation:
* Lets revise the properties of the rectangle
- The rectangle has 4 sides
- Each two opposite sides are parallel and equal in length
- It has for right angles
- Its two diagonals are equal in length
- The diagonal divide the rectangle into two congruent right triangles
* Now lets solve the problem
∵ The length of the rectangle = 5 units
∵ The width of the rectangle = 4 units
∵ The diagonal of the rectangle with the length and the width formed
right triangle, the length and the width are its two legs and the
diagonal is its hypotenuse
- To find the length of the hypotenuse use Pythagoras theorem
∵ Hypotenuse = √[(leg1)² + (leg2)²]
∴ The length of the diagonal = √[5² + 4²] = √[25 + 16] = √41
∴ The approximate length of the diagonal of the rectangle = 6.4 units
Allison pays all her bills using her bank's online bill pay. This is considered to be what type of electronic banking service?
Answer:
Transactional service
Step-by-step explanation:
If Allison pays all her bills using her bank's online bill pay, it will be considered as transactional service which is a type of electronic banking service.
A transaction involves paying a supplier for its services provided or any goods delivered.
Here the services used will include electricity, water, internet, gas, etc for which the bills are paid. Therefore, the correct answer is transactional service.
Answer:
Transaction service
Step-by-step explanation: