For this case we have by definition, that the electrical power is given by:
[tex]P = I ^ 2 * R[/tex]
Where:
P: It's the power
I: It's the current
R: It's the resistance
Clearing the current:
[tex]I ^ 2 = \frac {P} {R}\\I = \pm \sqrt {\frac {P} {R}}[/tex]
We choose the positive value:
[tex]I = \sqrt {\frac {500} {25}}\\I = \sqrt {20}\\I = 4.47A[/tex]
ANswer:
Option A
True or false? Based only on the given information, it is guaranteed that AD= CD
Answer:
True
Step-by-step explanation:
Based on Angle-Angle-Side, you would have two congruent triangles and those two sides are equal/congruent.
It is true, from the given information only we can say that AD = CD.
What is Congruency?In geometry, two figures or objects are congruent if their shape and size are same.
What is AAS criterion of Congruency?If two angles and a side which does not come between these two angles is congruent with two angles and a side which does not come between these two of another triangle, then the triangles are said to be congruent by AAS criterion.
In the given question
∠ABD = ∠CBD ( Given)
∠BAD = ∠BCD (Right angles)
BD = DB (Common side of both triangles)
Δ ABD ≅ Δ CBD (AAS criterion)
The two triangles are congruent hence AD = CD.
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C’E’D is a dilation imagine of CED. Which is the correct description of the dilation
Answer:
An enlargement with scale factor 2
Step-by-step explanation:
C’E’D is a dilation imagine of CED
It's enlargement so scale factor must be greater than 1
SF = 4/2 = 2
Answer
An enlargement with scale factor 2
An enlargement with scale factor 2
What is dilation?A dilation in mathematics is a function f from a metric space M into itself that, for any locations x, y in M, fulfills the identity d=rd, where d is the distance between x and y and r is some positive real number. Such a dilatation is a resemblance of the space in Euclidean space.
Given
C’E’D is a dilation imagine of CED
It's enlargement so scale factor must be greater than 1
SF = 4/2 = 2
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If x = -2 and y = 12, thеn 2(3х3 + 2у2) =
ОАО
о в 12
о с 48
ооо
oo 96
Answer: [tex]=528[/tex]
Step-by-step explanation:
You have this expression:
[tex]2(3x^3 + 2y^2)[/tex]
You already know that the value of the variable "x" is:
[tex]x=-2[/tex]
And the value of the variable "y" is:
[tex]y=12[/tex]
Therefore, you can substitute the value of the variable "x" and the value of the variable "y" into the expression.
Then you get:
[tex]2(3(-2)^3 + 2(12)^2)=2(-24+288)=2(264)=528[/tex]
Answer:
528
Step-by-step explanation:
2(3х³ + 2у²)
Where x = -2 and y = 12 which means whenever you sees x, put -2 in replacement and y put 12
So we solve;
2(3x³ + 2y²), x = -2, y = 12
2[3(-2)³ + 2(12)²]
2[3(-8) + 2(144)]
2[-24 + 288]
open the bracket by multiplying by 2
-48 + 576
combine
528
A square is cut in half on the diagonal, creating two equal triangles. each triangle has an area of 0.32 square units. what is the side length, in units, of the original square?
Answer:
0.8
Step-by-step explanation:
Let's say s is the side length of the square. When the square is cut diagonally, each triangle has a base of s and a height of s.
Area of a triangle is:
A = ½ bh
Given A = 0.32, b = s, and h = s:
0.32 = ½ (s)(s)
0.64 = s²
s = 0.8
The side length of the square is 0.8 units.
The side length, in units, of the original square is 0.8 units.
What is the side length?
A square is a two-dimensional shape that is made up of four equal sides. The diagonal is a straight line that divides the square into two right triangles.
The area of a triangle = 1/2 x base x height
0.32 = 1/2 x s²
0.32 x 2 = s²
0.64 = s²
s = √0.64
s = 0.8 units
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What’s the answer?????
You are given that all three sides of both the triangles are "approximately equal"
This means the answer is D. SSS (Side-Side-Side)
It can't be A. because S-A-S means side-angle-side and these are not the "givens"
It can't be B. because A-S-A means angle-side-angle and these are not the "givens"
It can't be C. because A-A-A means angle-angle-angle and these are not the "givens"
Hope this helped!
~Just a girl in love with Shawn Mendes
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Solve and type in a different form by using the given theorems of logarithms.
Answer:
log₁₀(M) + log₁₀(N)
Step-by-step explanation:
The rules of logarithms tell you ...
log(ab) = log(a) +log(b) . . . . . base of logarithms the same in each case
When your log is log₁₀ and a=M and b=N, this becomes ...
log₁₀(MN) = log₁₀(M) + log₁₀(N)
_____
Some functions are not always written with their arguments in parentheses. I believe it avoids ambiguity to put function arguments in parentheses, so I have done that here. It appears your answer form may want you to write ...
log₁₀M+log₁₀N . . . . . I don't recommend this form
Convert 50 kilogram to pounds. (The conversion factor from kilogram to pound is 2.2046.) A. 52.2 lb. B. 110.2 lb. C. 22.6 lb. D. 47.8 lb.
Answer: (B) = 110.2
50*2.2046 = 110.23
Estimate the average rate of change between x = 0 and x = 2 for the function shown.
Answer:
[tex]m=5[/tex]
Step-by-step explanation:
The average rate of change m of a function is calculated using the following formula
[tex]m=\frac{f(x_2)-f(x_1)}{x_2-x_1}[/tex]
In this case we look for the average exchange rate between [tex]x = 0[/tex] and [tex]x = 2[/tex].
Therefore we must find [tex]f(2)[/tex] and [tex]f(0)[/tex]
You can see in the graph that when [tex]x = 2[/tex] then [tex]y = 11[/tex]
therefore [tex]f(2) = 11[/tex]
You can see in the graph that when [tex]x = 0[/tex] then [tex]y = 1[/tex]
therefore [tex]f(0) = 1[/tex]
Finally
[tex]m=\frac{f(2)-f(0)}{2-0}[/tex]
[tex]m=\frac{11-1}{2-0}[/tex]
[tex]m=\frac{10}{2}[/tex]
[tex]m=5[/tex]
The estimate of the average rate of change of the function given in the graph above is calculated as: 5.
What is the average rate of change of a function?The average rate of change of a function is the ratio of the change in the function's output values to the corresponding change in its input values over a specified interval.
The average rate of change = f(b) - f(a) / b - a.
Given the function in the graph above, we see that:
a = 0, then f(a) = 1
b = 2. then f(b) = 11
Plugin the values into the formula:
Average rate of change = 11 - 1 / 2 - 0
= 10/2
= 5
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Timothy built a base for a circular tabletop. The base can support a tabletop with a radius of at least 6 inches, but not more than 23 inches. What is the smallest possible area of the tabletop that will fit on Timothy’s table base? Round the answer to the nearest whole square inch. What is the largest possible area of the tabletop that will fit on Timothy’s table base? Round the answer to the nearest whole square inch.
Answer:
The smallest possible are of the tabletop is 113 in²The largest possible area of the tabletop is 1,662 in²Explanation:
1) What is the smallest possible area of the tabletop that will fit on Timothy’s table base?
The statement that the base can support a tabletop with a radius of at least 6 inches means that the radius has to be 6 inches or more, i.e. the smallest possible radius is 6 inches.
a) Area of a circle: A = π r²
The smallest area is given by the smallest radius, which we have just stated that is 6 in.
b) Calculations:
With that A = π (6 in)² = 36π in² ≈ 113.10 in².
Round the answer to the nearest whole square inch: 113 in²
2) What is the largest possible area of the tabletop that will fit on Timothy’s table base?
The statement that the base can support a tabletop with a radius no more than 23 inches means that the radius has to be 23 inches or less, i.e. the largest possible radius is 23 inches.
a) Area of a circle: A = π r²
The largest area is given by the largest radius, which we have just stated that is 23 in.
b) Calculations:
With that A = π (23 in)² = 529 π in² ≈ 1,661.9 in².
Round the answer to the nearest whole square inch: 1,662 in².
Answer is 113 for the first then 1662 for the second
Step-by-step explanation:
Suppose you were a sales representative for the video and wanted to convince stores to stock more copies. Which graph would you use? Why?
a.
Graph B, because it indicates a more marked increase in sales.
b.
Graph A, because it indicates how many viewers had better results with the video.
c.
Graph A, because it indicates a more marked increase in sales.
d.
Graph B, because it indicates how many viewers earned a million.
The graph of which equation includes the points (0, 10) and (10, 11)?
y = 10x + 11
y = x + 10
y= 1/10x + 10
y = 1/10x + 11
Answer:
y=1/10x +10
Step-by-step explanation:
when we replace the x in this equation with numbers representing x in the points given, we are going to end up with the points that represents y in the question.
Answer:
C. [tex]y=\frac{x}{10} +10[/tex]
Step-by-step explanation:
Here we are given two points from which the line passes through . hence we use the two point form to evaluate the equation of line.
The two points are
(0,10) and (10,11)
the two point formula is
[tex]\frac{y-y1}{x-x1} = \frac{y2-y1}{x2-x1}[/tex]
Here x1=0, x2=10, y1=10, y2=11
Now we keep these values in the two point form formula given above
[tex]\frac{y-10}{x-0} = \frac{11-10}{10-0}\\\frac{y-10}{x} = \frac{1}{10}\\y-10=\frac{x}{10}\\y=\frac{x}{10}+10[/tex]
Hence our third option is correct.
Find the number of real number solutions for the equation. x2 + 5x + 7 = 0 0 cannot be determined 1 2
Answer:
0
Step-by-step explanation:
For a quadratic of the form
ax² +bx +c = 0
The "discriminant" is the expression ...
b² -4ac
For this equation, we have a=1, b=5, c=7, so the discriminant is ...
5² -4·1·7 = -3
When the discriminant is negative there will be two distinct complex roots to the equation, and no real roots.
_____
When the discriminant is zero, there will be one real root with multiplicity 2; when it is positive, there will be two distinct real roots.
What is the equation of the parabola with focus (-1,-1) and directrix y=1?
Answer:
B
Step-by-step explanation:
Given focus as (h,k) and directrix as y = mx + b, the equation of a parabola is given as:
[tex]\frac{(y - mx - b)^2}{m^2 +1}=(x - h)^2 + (y - k)^2[/tex]
Hence, from the given focus & directrix, we have:
h = -1
k = -1
m = 0
b = 1
We can plug them into the formula and arrange to get:
[tex]\frac{(y - mx - b)^2}{m^2 +1}=(x - h)^2 + (y - k)^2\\\frac{(y - (0)x - 1)^2}{0^2 +1}=(x - (-1))^2 + (y - (-1))^2\\\frac{(y-1)^2}{1}=(x+1)^2+(y+1)^2\\y^2-2y+1=x^2+2x+1+y^2+2y+1\\-2y-2y=x^2+2x+1\\-4y=x^2+2x+1\\y=-\frac{1}{4}x^2-\frac{1}{2}x-\frac{1}{4}[/tex]
B is the correct answer.
Please help?? ASAP!!!???
Answer: 1.9
Step-by-step explanation:
[tex]f(x)=\dfrac{14}{7+2e^{-0.6x}}\\\\\\f(3)=\dfrac{14}{7+2e^{-0.6(3)}}\\\\\\.\qquad =\dfrac{14}{7+2e^{-1.8}}\\\\\\.\qquad =1.9\qquad \quad need\ to\ use\ a\ calculator\ after\ replacing\ x\ with\ 3[/tex]
Given that f(x) = x^2 + 6x – 2, g(x) = x – 7, and h(x) = x + 4
find each function. (f + g)(x)
Answer:
(f+g)(x) = x^2 + 7x -9
Step-by-step explanation:
(f + g)(x) = f(x) + g(x)
= (x^2 + 6x – 2) + (x – 7)
= x^2 + 7x -9
This graph shows Matt's progress as he walks in the direction of Grandma's house:
Nathan walks at a rate of 4 miles per hour. Who travels at a faster rate, Matt or Nathan? How do you know this?
Please explain the answer
Random answer gets reported.
Nathan is walking faster than Matt.
Step-by-step explanation:The graph shows that for every hour, Matt walks 3 miles, since it goes to the right 1 and up 3 over and over again. This means Matt's speed is 3 miles per hour.
4 miles per hour is greater than 3 miles per hour, so Nathan is walking at a faster speed.
BRAINLIEST !!!!!which of the coordinates are not of th vertices of the feasible region for the system of inequalities
y≤4,,x≤5,x+y>6
a(2,4)
b(0,6)
c(5,4)
d(5,1)
Answer:
C (5,4)
Step-by-step explanation:
if we know that y cannot be greater then for by looking at the first inequality then we can eliminate B. The second inequality does not further eliminate anything and the only option that is left that also corresponds to the third inequality is c because 5+4>6, 9 >6
hope this helps and please mark brainliest :)
Three parts of yellow paint are mixed with 4 parts of red paint to make orange paint Zahid has 75 ml of yellow paint and 120ml of red paint what is the maximum amount of orange paint he can make
Answer:
175ml of orange paint
Step-by-step explanation:
3/4 = 75/x
3 × 25 = 75 so...
4 × 25 = 100 so...
75 + 100 = 175ml of orange paint
I have a math final tomorrow and I don’t know how to do this. Someone please help!
Need help with this math question
Answer:
The measure of angle x is [tex]m\angle x=84\°[/tex]
Step-by-step explanation:
we know that
The inscribed angle is half that of the arc it comprises.
so
[tex]m\angle x=\frac{1}{2}(168\°)=84\°[/tex]
How do you know that this function is odd or even? { (1,2),(4,7),(-1,2),(0,4),(-4,7)}
Answer:
The function is even.
Step-by-step explanation:
Compare it to the definition of an odd function or an even function.
Odd function: if (x, y) is in the relation, then (-x, -y) is also in the relation. (The function is symmetrical about the origin.)
Even function: if (x, y) is in the relation, then (-x, y) is also in the relation. (The function is symmetrical about the y-axis.)
__
The first point listed is (1, 2). If this function is odd, we expect to find (-1, -2). There is none such.
If this function is even, we expect to find (-1, 2). That is the third point listed, so it is possible this function is even. Comparing the other points to their even-function counterparts shows all of them match the definition of an even function.
Can someone please help me with this math question involving transformation
Answer:
X+ 6
Y+ 1
Step-by-step explanation:
The image of point A after the reflection along the x-axis the is A(-5,-2).
When this point was translated the new point became A(1, -1). The is means the translation from (-5, -2) to (1, -1) can be given by:
for the x-coordinate
-5 + x = 1
x =6
for the y-coordinate;
-2 + y =-1
y = -1 + 2
= 1
Answers are
x + 6 and
y + 1
Answer:
x+6 y+1
Step-by-step explanation:
in a certain pentagon, the interior angles are a,b,c,d,e where a,b,c,d,e are integers strictly less than 180. ("Strictly less than 180" means they are "less than and not equal to" 180.) If the median of the interior angles is 61 and there is only one mode, then what are the degree measures of all five angles?
Answer:
least to greatest: {61, 61, 61, 178, 179}
Step-by-step explanation:
If the third-largest angle is 61°, the smallest three angles cannot be larger than 183°. Since the total of all angles must be 540°, and the total of the largest two cannot be greater than 179°×2 = 358°, the sum of the smallest three must be at least 540° -358° = 182°.
So, the possible sets of angles with the smallest 3 totaling 182° or 183° are (in degrees) ...
{60, 61, 61, 179, 179} . . . . two modes
(61, 61, 61, 178, 179} . . . . . one mode -- the set you're looking for
Answer:
61,61,61,178,179
Step-by-step explanation:
your welcome. :)
The Gonzales family drove 300 miles on the first day of their vacation and 250 on each day after that. If d represents the number of days they drove after the first day, which expression gives the total distance driven?
250d + 300
250 + 300d
250 + d + 300
Answer:
250d + 300
Step-by-step explanation:
What is the sum of the areas of circle C and circle D?
7 units
14 units
49 units
98 units
Help Please
Answer:
D
Step-by-step explanation:
Circle C and D both have a radius of 7. So the sum of their areas is:
A = π(7)² + π(7)²
A = 98π
Answer: The correct option is
(D) 98π units².
Step-by-step explanation: We are given to find the sum of the areas of circle C and circle D.
From the figure, we note that
both the circle s C and D have equal radii given by
r = 7 cm.
Also, we know that the area of a circle with radius r units is given by
[tex]A=\pi r^2.[/tex]
Therefore, the sum of the area of circle C and D is given by
[tex]S=2A=2\pi r^2=2\times \pi\times7^2=2\times49\pi=98\pi~\textup{sq. units}.[/tex]
Thus, the required sum of the areas is 98π units².
Option (D) is CORRECT.
Andrew paid an agency 10% of his first year's rent for finding him an apartment. His rent is $1,800 per month.
$216
$900
$1,800
$2,160
Answer:
D. $2,160
Step-by-step explanation:
$1800 per month * 12 months = $21,600
10% of $21,600 = 0.1 * $21,600 = $2,160
Answer:
$2,160
Step-by-step explanation:
There are 12 months in a year
1800 *12 = 21600
He pays 21600 per year in rent
He pays the agency 10%
21600 * 10%
21600*.10
2160
He pays the agency 2160
Jenny watched 27 movies that she thought were very good. She watched 45 movies over the whole year. Of the movies she watched, what percentage did she think were very good?
if we take 45 as the 100%, what is 27 off of it in percentage?
[tex]\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 45&100\\ 27&x \end{array}\implies \cfrac{45}{27}=\cfrac{100}{x}\implies \cfrac{5}{3}=\cfrac{100}{x} \\\\\\ 5x=300\implies c=\cfrac{300}{5}\implies c=60[/tex]
Answer:
if we take 45 as the 100%, what is 27 off of it in percentage?
Step-by-step explanation:
The perimeter of a rectangle is 16 inches. The equation that represents the perimeter of the rectangle is
Answer:
16 in = 2W + 2L
Step-by-step explanation:
The equation for the perimeter of this rectangle is
P = 16 in = 2W + 2L.
Without knowing the value of either W or L, we can do no more at this point.
Identify whether the figure has plane symmetry, symmetry about an axis, or neither.
There's no axis of symmetry in a house, no way to rotate it a little bit without changing it. There is plane symmetry, two different ways, the one shown in the last choice, and one through the center of the front and back.
Answer: Plane symmetry only, last choice
Answer: C) plane symmetry and symmetry about an axis
Step-by-step explanation: Please see the image below!
Theo started to solve the quadratic equation (x + 2)2 – 9 = –5. He added 9 to both sides and the resulting equation was (x + 2)2 = 4. Next, he took the square root of each side. Which was the resulting equation of that step?
Answer:
[tex]x+2=\pm2[/tex]
Step-by-step explanation:
He started with [tex](x+2)^2-9=-5[/tex].
He add 9 to both sides and the resulting equation was
[tex](x+2)^2=4[/tex]
Next, he took the square root of each side.
The resulting equation of this step is:
[tex](x+2)=\pm \sqrt{4}[/tex]
[tex]x+2=\pm2[/tex]
The required equation is:
[tex]x+2=\pm2[/tex]
Answer:x + 2 = ±2
Step-by-step explanation:
on edge