Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{6 \: \% \: }}}}}[/tex]
Step-by-step explanation:
Given
Principal ( P ) = N 245
Interest ( I ) = N 117.60
Time ( T ) = 8 years
Rate = ?
Finding the rate percent :
[tex] \boxed{ \sf{rate = \frac{interest \: \times 100}{principal \times time} }}[/tex]
plug the values
⇒[tex] \sf{ \frac{117.60 \times 100}{245 \times 8} }[/tex]
Calculate
⇒[tex] \sf{ \frac{11760}{1960} }[/tex]
⇒[tex] \sf{6 \: \%}[/tex]
Hope I helped!
Best regards!!
Hoses A and B spout water at different constant rates, and hose A can fill a certain pool in 6 hours. Hose A filled the pool alone for the first 2 hours and the two hoses, working together, then finished filling the pool in another 3 hours. How many hours would it have taken hose B, working alone, to fill the entire pool
Answer:
18 hours
Step-by-step explanation:
Let the volume of the pool be x. Since pipe A filled the pool in 6 hours, the rate of pipe A = x / 6.
Let the rate of pipe b be y, Hose A filled the pool alone for the first 2 hours, this means that the volume filled in the 2 hours is x/6(2 hours) and the two hoses, working together, then finished filling the pool in another 3 hours for the 3 hours the volume filled is x/6(3) + y(3). hence the total time is:
x/6(2) + x/6(3) + y(3) = x
x/3 + x/2 + 3y = x
Multiply through by 6:
2x + 3x + 18y = 6x
5x + 18y = 6x
18y = x
y = x/18
The rate of pipe B is x/18, this means it would take pipe B 18 hours to full the pool alone
At what speed does the pitcher's arm rotation in degrees-s?
Answer:
7000 degrees per sec
Step-by-step explanation:
If the arm goes 7 degrees per ms to get how many degrees it goes per sec, just multiply by 1000.
what is 1/8(3d-12)=1/4(d+5)
Answer:
d=22
Step-by-step explanation:
9 is 15% of what amount?
Answer:
0.9 is 15% of 6
work:
0.15 x 6 = 0.9
Hope this helps!
cosA×cos2A+sinA×sin2A=cos (2A-A)
Answer:
csc
A
, as desired!
Step-by-step explanation:
cos
2
A
sin
A
+
sin
2
A
cos
A
,
=
cos
2
A
cos
A
+
sin
2
A
sin
A
sin
A
cos
A
,
=
cos
(
2
A
−
A
)
sin
A
cos
A
,
=
cos
A
sin
A
cos
A
,
=
1
sin
A
,
=
csc
A
, as desired!
The mapping diagram shows a functional relationship Complete the statements f(4) is Domain Range f(x) = 4 when x is.
Answer:
f(4) is 1/2
f(x)= 4 when x is 8
The complete statements would be as:
function f(4) is 1/2 and function f(x) = 4 when domain x is 8.
What are the domain and range of the function?The domain of the function includes all possible x values of a function, and the range includes all possible y values of the function.
We have been given that the mapping diagram shows a functional relationship.
To determine the value of f(4)
As per the given functional relationship,
If the value of the domain is 4 then the value of the respective range would be 1/2.
Therefore, the function f(4) would be 1/2.
To determine the value of x, when f(x) = 4
As per the given functional relationship,
If the value of the range is 4 then the value of the respective domain would be 8.
Therefore, x would be 8 if function f(x) = 4 .
Hence, the complete statements would be as:
f(4) is 1/2 and f(x) = 4 when x is 8.
Learn more about the domain and the range here:
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-7 + 9(2d - 3w) use w = 5 and d = 2
Answer:
-106
Step-by-step explanation:
[tex] - 7 + 9(2d - 3w) \\ w = 5 \\ d = 2[/tex]
Substitute the given values for w and d into the equation.
[tex] - 7 + 9(2(2) - 3(5)) \\ [/tex]
Follow the PEDMAS order of operation
[tex] - 7 + 9(4 - 15) \\ - 7 + 9( - 11) \\ = - 7 + ( - 99) \\ = - 7 - 99 = - 106[/tex]
Convert the following:
4 quarts is equivalent to
0 liters (rounded to the hundredth)
Answer:
3.79 liters
Step-by-step explanation:
2 quarts equals 1.89 so 2×2 = 3.79
5. Find the point X on CF that is of the distance from C to F. C is -4 F is 5 -7-6-5-4-3-2-1 0 1 2 3 4 5 6 7 A) -2.2 B) 0.5 C) -1.8 D) -3
Correct Question: Find the point X on CF that is ⅕ of the distance from C to F.
*See attachment below for the numberline.
Answer:
A.) -2.2
Step-by-step explanation:
Given that C on the numberline = -4,
F on the numberline = 5
The distance from point C (-4) to point F (5) = |-4 - 5| = |-9| = 9
We are told that point X on CF, = ⅕ of the distance from point C to F. That is, X on the numberline is ⅕ of 9 = ⅕*9
⅕*9 = 9/5 = 1.8
This means, the coordinate of point X, from point C = coordinate of C + 1.8 = -4 + 1.8 = -2.2.
Therefore, the coordinate of X that is ⅕ of the distance from point C to F is -2.2.
*em janeiro foram produzidos 818,4 litros de leite * em fevereiro 771,1 litros de leite *em março 815,2 litros de leite *em abril 784,5 litros de leite *em maio 803,4 litros de leite * em junho 742,9 litros de leite Agora responda: a)Quantos litros de leite foram produzidos EM MÉDIA, por mês? b)Quantos litros de leite, em média, foram produzidos diariamente no mês de janeiro?
Answer:
ifk
Step-by-step explanation:
tdf
Explain how to use friendly percents to find 35% of 80
Answer:
You can use friendly percents to find 35% of 80 by writing 35% as 25% + 10%. 25% of 80 is 80 divided by 4, which is 20. 10% of 80 is 80 divided by 10, which is 8. 20 + 8 = 28. So 35% of 80 is 28.
Step-by-step explanation:
I just did the test!!! And plus its a sample answer !!!
Tim's phone service charges $27.22 plus an additional $0.15 for each text message sent per month. If Tim's phone bill was $30.97, which equation could be used to find how many text messages, x, Tim sent last month? A. $0.15x + $27.22 = $30.97 B. $27.22x - $0.15 = $30.97 C. $27.22x + $0.15 = $30.97
Answer:
A) $27.22 + $0.15x = $30.97
Step-by-step explanation:
Answer:
The answer would be A. $0.15x + $27.22 = $30.97
Step-by-step explanation:
Probe that:
[tex] \sec \alpha \sqrt{1 - \sin( {}^{2} ) } \alpha = 1[/tex]
Step-by-step explanation:
[tex] \sec \alpha \sqrt{1 - \sin ^{2} \alpha } = 1[/tex]Prove the LHS
Using trigonometric identities
That's
[tex] \cos ^{2} \alpha = 1 - \sin^{2} \alpha [/tex]Rewrite the expression
We have
[tex] \sec \alpha \sqrt{ \cos^{2} \alpha } [/tex][tex] \sqrt{ { \cos }^{2} \alpha } = \cos \alpha[/tex]So we have
[tex] \sec \alpha \times \cos \alpha [/tex]Using trigonometric identities
[tex] \sec \alpha = \frac{1}{ \cos \alpha } [/tex]Rewrite the expression
That's
[tex] \frac{1}{\cos \alpha } \times \cos \alpha [/tex]Reduce the expression with cos a
We have the final answer as
1As proven
Hope this helps you
What is the area of 6 ft and 5 ft
Answer:
15
Step-by-step explanation:
Can anyone find the slope of this line (lots of points reward)
Answer:
(-5,1)
Step-by-step explanation:
i dont really know but might be right
Answer:
-1/2
Step-by-step explanation:
Find two points on the line
(0,-5) and (2,-6)
Using the slope formula
m = (y2-y1)/(x2-x1)
= (-6 - -5)/( 2-0)
( -6+5)/( 2)
-1/2
Point A is at (-6,8) and Point B is at (0,0.5) pint M is at the midpoint of point A and B
Answer:
Midpoint = (-3, 4.25)
Step-by-step explanation:
[tex]\mathrm{Midpoint\:of\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)\\\\\left(x_1,\:y_1\right)=\left(-6,\:8\right),\:\left(x_2,\:y_2\right)=\left(0,\:0.5\right)\\\\=\left(\frac{0-6}{2},\:\frac{0.5+8}{2}\right)\\\\= (\frac{-6}{2} , \frac{8.5}{2} )\\\\Simplify\\\\=\left(-3,\:4.25\right)[/tex]
A line with a slope of 3 passes through (2,5). Which choice is an equation of this line? Please help
Answer:
Top right.
Step-by-step explanation:
So we want a line with a slope of 3 and passes through (2,5).
To do so, we can use the point-slope form.
The point-slope form is:
[tex]y-y_1=m(x-x_1)[/tex]
m is the slope and x₁ and y₁ is an ordered pair.
Thus, let m be 3, y₁ be 5, and x₁ be 2. Thus:
[tex]y-5=3(x-2)[/tex]
Our answer is the top right :)
Answer:
Answer:
Top right.
Step-by-step explanation:
So we want a line with a slope of 3 and passes through (2,5).
To do so, we can use the point-slope form.
The point-slope form is:
m is the slope and x₁ and y₁ is an ordered pair.
Thus, let m be 3, y₁ be 5, and x₁ be 2. Thus:
Our answer is the top right :)
Step-by-step explanation:
p = q/4 -r solve for q
Answer:
4(p+r) = q
Step-by-step explanation:
p = q/4 -r
Add r to each side
p+r = q/4 -r+r
p+r = q/4
Multiply each side by 4
4(p+r) = q/4*4
4(p+r) = q
Please answer these questions and the photo is above and please show the simple work
I'm not going to answer the questions for you. Instead I will give you stuff taht will help you solve the problems.
A negative divided/multiplied by another negative will be positive
A negative divided/multiplied by a positive will be negative
Good luck with your math hw! If you need more help, just comment!
What is an algebraic expression for each word phrase? a. 11 more than twice a number x b. 2 less than the quotient of 5 and a number x c. The product of 4 and the sum of a number x and 8
Answer:
a.) 11>2x.
b.) 2<5÷x.
c.) 4(x+8).
The word phrases into an algebraic expression will be 2x + 11, 5/x - 2, and 4(x + 8).
How to convert the sentence into an expression?The act of converting a specified statement into an expression or equation is known as a sentence-to-equation transformation.
Convert all the word phrases into an algebraic expression. Then we have
a. 11 more than twice a number x. Then we have
⇒ 2x + 11
b. 2 less than the quotient of 5 and a number x. Then we have
⇒ 5/x - 2
c. The product of 4 and the sum of a number x and 8. Then we have
⇒ 4(x + 8)
The word phrases into an algebraic expression will be 2x + 11, 5/x - 2, and 4(x + 8).
More about the conversion of sentences into equation link is given below.
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Can you help me out?
Answer:
Eight X plus sixty equals one hundred fifty-six
why isn’t 3/4 a integer? answer asap pls
Answer: integer's are whole numbers so a fraction,decimal and negitive numbers aren't integer's
Step-by-step explanation:
Match each pair of points with the approximate distance between them. Round your answer to the nearest tenth. Answers: 7.07, 5.1, 2, 2.83, 5.39, 13.15, 12.5 What to match them to: (3,-1) and (5,4), (2,3) and (4,5), (-5,7) and (8,5), (-2,4) and (3,-1)
(3, -1) -> (5, 4) = 5.38516 or 5.39 units
(2, 3) -> (4, 5) = 2.82843 or 2.83 units
(-5, 7) -> (8, 5) = 13.1529 or 13.15 units
(-2, 4) -> (3, -1) = 7.07107 or 7.07 units
The correct matching of the pair of points and the distance between them would be:
(3, -1) → (5, 4) = 5.39 units(2, 3) → (4, 5) = 2.83 units(-5, 7) → (8, 5) = 13.15 units(-2, 4) → (3, -1) = 7.07 unitsHow to find the distance ?The distance between two points in a 2-dimensional Cartesian plane is given by the Euclidean distance formula, which is a direct application of Pythagoras' theorem.
The distance between the points are therefore:
(3,-1) and (5,4):
Distance = √[(5 - 3)² + (4 - (-1))²] = √[(2)² + (5)²]
= √[4 + 25] = √[29]
= 5.39
(2,3) and (4,5):
Distance = √[(4 - 2)² + (5 - 3)²] = √[(2)² + (2)²]
= √[4 + 4] = √[8]
= 2.83
(-5,7) and (8,5):
Distance = √[(8 - (-5))² + (5 - 7)²] = √[(13)² + (-2)²]
= √[169 + 4] = √[173]
= 13.15
(-2,4) and (3,-1):
Distance = √[(3 - (-2))² + ((-1) - 4)²] = √[(5)² + (-5)²]
= √[25 + 25]
= √[50]
= 7.07
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Question 3 (5 points)
(-1) + 5 -(-6) - 5 =
A) -3
B) 0
C) 5
D) -2.
Answer:
5
Step-by-step explanation:
-1+5+6-5
-1-5+5+6
-6+11
5
2d - 15 =3 pls answer ASAP and with corrections
Answer: d=9
Step-by-step explanation:
2d -15 = 3 Add 15 to both sides
+ 15 +15
2d = 18 Divide both sides by 2
d = 9
Answer:
d=9
Step-by-step explanation:
collecting like terms
2d=3+15
2d=18
d= 9
∠1 and ∠2 are vertical angles. If the measure of ∠2 is 105°, find the measure of ∠1.
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{105°}}}}}[/tex]
Step-by-step explanation:
Given, < 2 = 105°
To find : < 1
When two lines interest the angles formed opposite to each other are called vertically opposite angles. Vertically opposite angles are always equal to each other.
So,
<1 = 105 °
Hope I helped!
Best regards!
Answer:
[tex]\Huge \boxed{\angle 1 = 105 \° }[/tex]
Step-by-step explanation:
[tex]\angle 1[/tex] and [tex]\angle 2[/tex] are vertical angles.
[tex]\angle 2= 105 \°[/tex]
Vertical angles are equal in measure.
[tex]\angle 1= \angle 2[/tex]
[tex]\angle 1= 105 \°[/tex]
[tex]( \frac{1}{2} {a}^{2} + \frac{1}{2} ab - {b}^{2} )[/tex]
Answer:
[tex]\frac{1}{2}[/tex] (a + 2b)(a - b)
Step-by-step explanation:
Assuming you require the expression to be factored
Given
[tex]\frac{1}{2}[/tex] a² + [tex]\frac{1}{2}[/tex] ab - b² ← factor out [tex]\frac{1}{2}[/tex] from each term
= [tex]\frac{1}{2}[/tex] (a² + ab - 2b²) ← factor the quadratic
Consider the factors of the coefficient of the b² term(- 2) which sum to give the coefficient of the ab- term (+ 1)
The factors are + 2 and - 1, since
2 × - 1 = - 2 and 2 - 1 = + 1, thus
a² + ab - 2b² = (a + 2b)(a - b) and
[tex]\frac{1}{2}[/tex] a² + [tex]\frac{1}{2}[/tex] ab - b² = [tex]\frac{1}{2}[/tex](a + 2b)(a - b)
I plugged in 4 for the derivative function but I’m getting the wrong answer?
Answer:
8.6615988
Step-by-step explanation:
f(x) = 3 sin (x) / ( 1 + cos x)
To find the derivative bottom * d/ dx top - top d/dx bottom all over the bottom squared
d/dx = 3 ( ( 1 + cos x) cos x - sin x( - sin x)) / ( 1 + cos x) ^2
= 3 ( cos x + cos ^2 x + sin ^2 x) / ( 1 + cos x) ^2
= 3 ( 1 + cos x) / ( 1 + cos x) ^2
= 3 / ( 1 + cos x)
Let x = 4
3 / ( 1 + cos 4)
Assuming x is in radians
3/.346356
8.6615988
Four more than the product of 19 and a number
4+(19x)
four plus 19 and a number
Answer:
19+4x
Step-by-step explanation:
We can write an expression:
19x+4x
"Four more": +4x
product of 19 and a number: 19x
Three equivalent ratios are shown on the graph. On a coordinate plane, points (1, 0.5), (2, 1), and (5, 2.5) are plotted. Starting on one of the plotted points, how can you plot more equivalent ratio points? Move up one and right one and one-half. Move up one and one-half and right three. Move up two and right three. Move up one-half and right two
Answer:
Move up one half and right two.
Step-by-step explanation:
trust
Answer:
move on up one and right two
Step-by-step explanation: