1 ) Watts =E * I = 110 * 5 = 550 watts =.55 KW
2) I = Watts / e = 1100 / 110 = 10 amperes
3) 1 horsepower = 33000 ft/lbs per minute
HP = ( 2000 * 1000) / (33000 *4) = 15.1515 hp
4) cost = (10 * 100 / 1000) *11 * $0.10 = $1.10
5) This answer will be incorrect because you have not stated the power factor of the motor.
va = I * E = 7.5 * 240 = 1800
2 hp = 2 * 746 watts = 1492 watts
If the motor had a 1.0 power factor (it doesn't) the efficiency would be
efficiency = output / input = 1492 / 1800 = 82.888 %
6) I = watts / E =1000 / 120 = 8.333 amps
7) 1 = watts / E = 1000 / 240 = 4.1616
8) Kw-hr = (2 * 24 * 365 ) / 1000 = 17.52
cost = kw-hr * $0.03 = 17.52 * $0.03 = $0.5256
9) efficiency = (115 * 240) / (2400 * 12) = 95.8333 %
10) KW = (I^2 * R) / 1000 = (20^2 * 5) / 1000 = 2
the current required is 10 amperes.
To calculate the current required for a device rated at 1,100 watts operating at 110 volts, we use the formula P = IV, where P is power in watts, I is current in amperes, and V is voltage in volts.
Rearranging the formula to solve for current, we get I = P / V. Plugging in the given values, we have:
I = 1,100 W / 110 V
Thus, the current required is 10 amperes.
Evaluating a Step Function Using the Function Rule!
HELP!
ANSWER
[tex]g(2) = 3[/tex]
[tex]g( - 2) = - 4[/tex]
[tex]g(5) = 5[/tex]
EXPLANATION
The given step function have constant y-values on certain interval.
To find g(2), we plug x=2 into
g(x) =3, because 2 belongs to the interval
2≤x<4
This implies that
[tex]g(2) = 3[/tex]
To find g(-2), we substitute x=-2 into g(x)=-4, because x=-4 belongs to
-3≤x<-1
This implies that,
[tex]g( - 2) = - 4[/tex]
Similarly,
[tex]g(5) = 5[/tex]
because x=5 belongs to the interval,x≥4
Answer:
g(2)=3,
g(-2)=-4,
g(5)=5
Step-by-step explanation:
g(2) means find the value of function g(x) when x=2
from given restriction we see that x=2 lies withing [tex]2 \leq x <4[/tex]
corresponding function value is 3
Hence g(2)=3
-------
g(-2) means find the value of function g(x) when x=-2
from given restriction we see that x=-2 lies withing [tex]-3 \leq x <-1[/tex]
corresponding function value is -4
Hence g(-2)=-4
-------
g(5) means find the value of function g(x) when x=5
from given restriction we see that x=5 lies withing [tex]x \geq 4[/tex]
corresponding function value is 5
Hence g(5)=5
Find the value of the missing angle for the following oblique triangle.
a = 123 in A = 67.7° B = 54.2°
Find the value of the missing angle for the following oblique triangle.
C = 58.1°
The value of missing angle C for the Oblique triangle is [tex]58.1^{0}[/tex]
In given oblique triangle, angle A is [tex]67.7^0[/tex] and angle B is [tex]54.2^0[/tex].
What is Oblique triangle?
An oblique triangle is any triangle that is not a right triangle. It could be an acute triangle (all three angles of the triangle are less than right angles) or it could be an obtuse triangle (one of the three angles is greater than a right angle).
As we know that, Sum of all angles of a triangle is [tex]180^0[/tex].
A + B + C =[tex]180^0[/tex]
[tex]67.7^0 + 54.2^0 + C = 180^0[/tex]
[tex]C = 180^0 - 121.9^0[/tex]
[tex]C = 58.1^0[/tex]
Thus, the missing angle C of oblique triangle is [tex]58.1^0[/tex].
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Find the slope m of the line that passes through points (20, 66) and (30, 96)
The slope is 3/1 or 30/10.
Explanation:
You subtract 96 and 66 which equals 30. Then you subtract 30 and 20 which then equals 10. Then you simplify it which then equals 3/1
What is the answer to this question
Answer:
Step-by-step explanation:
[tex]\text{4250 cm} \dfrac{1 m}{100 cm}=42.50m[/tex]
the answer is 42.5 meters
what is greater 8/10 or 80/100
Answer:
They are equal
Step-by-step explanation:
8/10 is 80% of 10 and 80/100 is 80% of 100
What is the value of P for the following triangular prism?
36 cm
36 mm
10.8 cm
14.55 cm
Answer:
10.8 cm
Step-by-step explanation:
we know that
The perimeter of the triangular face is equal to the sum of its sides
P=a+b+c
we have
a=28 mm=28/10=2.8 cm
b=4 cm
c=4 cm
substitute the values
P=2.8+4+4=10.8 cm
Answer:
10.8 cm
Step-by-step explanation:
what is 6 to the power of -1 as a fraction?
Answer:
1/6
Step-by-step explanation:
Since anything to a negative power is 1/(a^b) where the original was a^-b, we get 6^-1 is 1/6.
6^(-1) = 1 / 6
How to work out fractions of numbers?The process of how to work out of the fractions as multiplications to each other is the simple 1:
Multiply the numeratorsMultiply the denominatorsWrite the new numerator over the new denominatoSince anything to the negative power is 1/(a^b)
where the original were a^-b,
we get 6^-1 is 1/6.
How do you learn fractions?
In this we have to learn to add, or subtract, or multiply, and divide fractions or use these operations to solve the problems. Students need the clear-cut model of the fraction in order to come the grips with all the arithmetic operations. The shift of the emphasis by the multiple.
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F(x)=x^2 what is g (x)
ANSWER
[tex]g(x) = (4 {x)}^{2} [/tex]
EXPLANATION
We were given that,
[tex]f(x) = {x}^{2} [/tex]
Let
[tex]g(x) = a \times f(x)[/tex]
Or
[tex]g(x) = a {x}^{2} [/tex]
The point (1,16) is on the graph of g(x), hence it must satisfy its equation:
This implies that,
[tex]a {(1)}^{2} = 16[/tex]
[tex]a = 16[/tex]
We substitute the value of 'a' to get,
[tex]g(x) = 16 {x}^{2} [/tex]
Or
[tex]g(x) = (4 {x)}^{2} [/tex]
The correct choice is B.
......................
I think the answer is December
Answer:
D
Step-by-step explanation:
First Rhonda makes a 20% down payment. 20% of $85 is:
0.20 × $85 = $17
So what's left is:
$85 - $17 = $68
So the number of monthly payments at $8 per month is:
$68 / 8 = 8.5
Rounding up, it will take 9 months to make all the payments. If her father's birthday is on the third Sunday of June, she needs to make her ninth and final payment on June 1. So her first monthly payment needs to be 8 months before that, or October 1.
Answer is D.
Given: △ABC is equilateral. The radius of each circle is r.
Find AB
Answer:
AB = (2+2√3)r
Step-by-step explanation:
All three sides of an equilateral triangle equals 60° each.
Given that the circles are equal and are inscribed in a triangle, the angle bisectors pass right through the center of the circle present in front of that angle.
For example a figure has been attached with the answer, where angle bisectors make a triangle with center of the circle and a perpendicular projection of the center on side AB.
Finding AB:
Let us divide the side AB into three parts. One is the line joining the center of the two circles which is = 2
Then we have two equal parts, each joining one vertices with the center of the circle.
Let us assume that there is a point P on the side AB which forms a line segment PO₁ ⊥ AB.
We have the right angled triangle APO₁. Angle A = 30° PO₁ = r
let the base AP = x
We know that tan 30° = perp/base
1/√3 = r/x
=> x = √3 r
Hence Side AB = √3 r + 2r + √3 r
AB = (2+2√3)r
2/16 = _/8
Fill in the blank to make the fractions equivalent.
Step-by-step explanation:
It's easy. Just line up the denominators, and then say what's 16 divided by 2, 8, and then do the same thing for the numerators. Which is 2 divided by 2 and that equals 1. 1 is your answer.
Who know how did this? (need to complete the task)
So, you would reflect it over the y-axis first. (x,y)->(-x,y) and get A’ (1,2) B’ (2,6) C’ (4,4). Then, you rotate 90 degrees clockwise (x,y)->(y,-x). So, A”(2,-1) B” (6,-2) C” (4,-4). Hope this helps.
Answer:
Step-by-step explanation:
A(-1, 2), B(-2, 6), C(-4, 4)
You got the reflection part correct.
A'(-1, -2), B'(-2, -6), C'(-4, -4)
To rotate 90° clockwise, apply the following transformation:
A(x, y) = A(y, -x)
A"(-2, 1), B"(-6, 2), C"(-4, 4)
write an equation for the parabola with a vertex at the origin and focus (2,0)
Check the picture below.
so is horizontal parabola, meaning the squared variable is the "y". It has a "p" distance of 2 units, let's notice that it opens to the right, meanign "p" is positive.
[tex]\bf \textit{parabola vertex form with focus point distance} \\\\ \begin{array}{llll} \stackrel{\textit{we'll use this one}}{4p(x- h)=(y- k)^2} \\\\ 4p(y- k)=(x- h)^2 \end{array} \qquad \begin{array}{llll} vertex\ ( h, k)\\\\ p=\textit{distance from vertex to }\\ \qquad \textit{ focus or directrix} \end{array} \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} h=0\\ k=0\\ p=2 \end{cases}\implies 4(2)(x-0)=(y-0)^2\implies 8x=y^2\implies x=\cfrac{1}{8}y^2[/tex]
Which of the following values would complete the ordered pair of the paint is on the graph of f(x)=-2x+3? (-1, ____). -4, 0,1, 5
ANSWER
5
EXPLANATION
The given function is
f(x)=-2x+3
We want to find the corresponding value of x=-1
We substitute x=-1 to obtain
f(-1)=-2(-1)+3
We multiply to get;
f(-1)=2+3
We now add to obtain:
f(-1)=5
The last choice is correct
Write(3-7i)-(-11+5i) as a complex number in standard form
The answer would be 14-12i. Hope this helps! Please mark brainliest! Thanks v much! :)
Write a story problem and solve: 1/7 divided by 4
Answer:
There are 1/7 cookies in the cookie jar. I give 4 to my friends. How many are left?
Step-by-step explanation:
Suppose f(x)=x+2 Find f(-3)
x
The answer is negative one
Answer:
x = -3
-3+2 = -1
-1 = f(x)
Pls help ASAP
Write the ratio of corresponding sides for the similar triangles and reduce the ratio to lowest terms
answer is B) 3/9= 4/12 = 1/3
Answer:
the Ratio between the small and big triangles is that of b. [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
We can solve this ratio problem by using the Rate of Change formula as shown below,
[tex]\frac{y2-y1}{x2-x1}[/tex]
In this situation y would be the smaller triangle and x would be the larger triangle. Since all the values are given to use we can just plug those values in and solve for the rate of change / ratio.
[tex]\frac{4-3}{12-9} = \frac{1}{3}[/tex]
So the rate of change or ratio between the small and big triangles is that of [tex]\frac{1}{3}[/tex]
I hope this answered your question. If you have any more questions feel free to ask away at Brainly.
The center of a regular polygon is the center of the
circle
circumscribed
inscribed
included
Click on the correct answer.
Answer:
There are 2 correct answers. See below.
Step-by-step explanation:
The center of a regular polygon is the center of an inscribed and a circumscribed circle.
The center of a regular polygon is the center of the circumscribed circle, which touches all the vertices of the polygon equally.
The center of a regular polygon is considered the center of the circumscribed circle. This is the circle that touches all the vertices (corners) of the polygon. When dealing with a regular polygon, which has all sides and angles equal, the center of this polygon is also the center of the circle that encloses it. This special circle is known as the circumscribed circle or circumcircle. The center is equidistant to all vertices of the polygon. The centroid of a polygon, which is the geometric center where all the corner points balance evenly, is analogous to the center of the circumscribed circle in regular polygons.
What is the simplified expression for 6(2(y+x))?
Answer:
12y+12x
Step-by-step explanation:
6(2(y+x))
=6(2y+2x)
=12y+12x
Answer:
12x+12y
The peeps below explained it enough! just here to give them a chance for B:)
Calculate the median 5,10,12,4,6,11,13,5
For this case, we have by definition that, the median of a set of numbers is the average number in the set, after the numbers have been ordered from lowest to highest. If there is an even number in the set, the median is the average of the two middle numbers.
So, the given set is:
{4,5,5,6,10,11,12,13}
Since there are 8 numbers, the set is even. Then we find the average of the two numbers in the middle:
[tex]\frac {6 + 10} {2} = \frac {16} {2} = 8[/tex]
The median is 8
ANswer:
8
What is the length of the short leg in the 30-60-90 triangle shown below?
Answer:
Correct option is:
B. 5
Step-by-step explanation:
The triangle is a right angled triangle.
Let a be a angle adjacent to 90°
then, tana=Side opposite to angle a/Side adjacent to angle a which is not the hypotenuse
Here, Let a=60°
[tex]tan60\°=\dfrac{5\sqrt{3}}{Length\ of\ short\ leg}[/tex]
[tex]\sqrt{3}=\dfrac{5\sqrt{3}}{Length\ of\ short\ leg}[/tex]
⇒ Length of short leg=5
Hence, Correct option is:
B. 5
Find the percent of change in altitude if a weather balloon moves from 50 ft to 95 ft. Describe the percent of change as an increase or decrease. Round to the nearest tenth if necessary.
Answer:
90% increase.
Step-by-step explanation:
Percent change in altitude = (difference in altitude * 100) / original altitude
= (95-50) * 100 / 50
= 90%.
Answer:
Percent of change in altitude = 90 %
Since the altitude increases from 50 ft to 95 ft the change is positive.
Step-by-step explanation:
Initial altitude, = 50 ft
Final altitude, = 95 ft
Increase in altitude = 95 - 50 = 45 ft
Percentage increase
[tex]=\frac{45}{50}\times 100=90\%[/tex]
Percent of change in altitude = 90 %
Since the altitude increases from 50 ft to 95 ft the change is positive.
complete the table of values for y=3-2x
Step-by-step explanation:
Here is a table.
To complete the table of values for the equation y = 3 - 2x, we substitute different x values into the equation to get the corresponding y values. Thus, values for y will depend on the chosen x values.
Explanation:The equation given is y = 3 - 2x. To complete the table of values for this equation, you need to substitute different values of x into the equation and solve it to get the corresponding y-values. For example, if x = 0, then y = 3 - 2(0) = 3. Following this process, you can generate a large number of points that satisfy the equation and represent these as a table of x and y values.
Below is an example of how the table might look:
For x = -2, y = 3 - 2(-2) = 3 + 4 = 7For x = -1, y = 3 - 2(-1) = 3 + 2 = 5For x = 0, y = 3 - 2(0) = 3 = 3For x = 1, y = 3 - 2(1) = 3 - 2 = 1For x = 2, y = 3 - 2(2) = 3 - 4 = -1Learn more about Equations here:https://brainly.com/question/18577777
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true or false: the equation tan^2x+1=sec^2x
ANSWER
True
EXPLANATION
The given trigonometric equation is:
[tex] { \tan}^{2} x + 1 = { \sec}^{2} x[/tex]
We take the LHS and simplify to arrive at the RHS.
[tex]{ \tan}^{2} x + 1 = \frac{{ \sin}^{2} x}{{ \cos}^{2} x} + 1[/tex]
Collect LCM on the right hand side to get;
[tex]{ \tan}^{2} x + 1 = \frac{{ \sin}^{2} x + {\cos}^{2} x}{{ \cos}^{2} x} [/tex]
This implies that
[tex]{ \tan}^{2} x + 1 = \frac{1}{{ \cos}^{2} x} .[/tex]
[tex]{ \tan}^{2} x + 1 = {( \frac{1}{ \cos(x) }) }^{2} [/tex]
[tex]{ \tan}^{2} x + 1 = { \sec}^{2} x[/tex]
This identity has been verified .Therefore the correct answer is true.
Final answer:
The equation tan²(x) + 1 = sec²(x) is true and is derived from the fundamental Pythagorean trigonometric identity.
Explanation:
The statement tan²(x) + 1 = sec²(x) is true. This is based on a well-known trigonometric identity from mathematics.
In trigonometry, the Pythagorean identity for tangent and secant states that:
tan²(x) + 1 = sec²(x)
Which comes from the primary Pythagorean identity:
sin²(x) + cos²(x) = 1
by dividing each term by cos²(x) and recognizing that:
tan(x) = sin(x)/cos(x) and sec(x) = 1/cos(x).
what is the factored form of x3-1
[tex]
x^3-1=x^3-1^3 \\
(x-1)(x^2+2x+1)=\boxed{(x-1)(x+1)(x+1)}
[/tex]
Hope this helps.
r3t40
The lateral area of a right prism having a perimeter of 25 inches and a height of 5 inches is?
Answer:
The lateral area is [tex]LA=125\ in^{2}[/tex]
Step-by-step explanation:
we know that
The lateral area of a right prism is equal to
[tex]LA=PH[/tex]
where
P is the perimeter of the base of the prism
H is the height of the prism
in this problem we have
[tex]P=25\ in[/tex]
[tex]H=5\ in[/tex]
substitute
[tex]LA=(25)(5)=125\ in^{2}[/tex]
Help Please!! I am not sure what to do?
Answer:
10 < [tex]\sqrt{111}[/tex] < 11
Step-by-step explanation:
The square root of 111 is approximately 10.536.
A number smaller than this is 10.
A number larger than this is 11.
can someone please check if this is right? i would appreciate it!!
ANSWER
B,C,E
EXPLANATION
The given exponentiial expression is
[tex] {7}^{8} \times 7 = {7}^{8 + 1} = {7}^{9} [/tex]
The expression that simplify to
[tex] {7}^{9} [/tex]
are all equivalent to the above expression.
A
[tex] {7}^{3} \times {7}^{3} = {7}^{3 + 3} = {7}^{6} [/tex]
B
[tex] \frac{ {7}^{18} }{ {7}^{9} } = {7}^{18 - 9} = {7}^{9} [/tex]
C
[tex]( {7}^{3} )^{3} = {7}^{3 \times 3} = {7}^{9} [/tex]
D
[tex] {7}^{4} + {7}^{5} = {7}^{4} (1 + 7) = 8( {7}^{4} )[/tex]
E.
[tex] {7}^{4} \times {7}^{5} = {7}^{4 + 5} = {7}^{9} [/tex]
Therefore options B, C and E are all equivalent to the given expression.
Im so confuse in this one please help me ty
Answer:
16.67
Step-by-step explanation:
3x² - 10 = 40
3x² = 40 + 10
x² = 50
x = 50 / 3
x = 16.67
Answer:
±5√6 / 3
Step-by-step explanation:
3x² - 10 = 40
3x² = 50
x² = 50/3
x = ±√(50/3)
x = ±5 √(2/3)
Writing in proper form:
x = ±5 (√2 / √3) × (√3 / √3)
x = ±5√6 / 3