Answer:
The formula is [tex]R =\frac {V}{I}[/tex]
Step-by-step explanation:
The formula V = I R shows the relationship between voltage, current, and resistance.
It is given by the Ohm's law.
According to this law, at constant temperature, the current flows in any conductor is directly proportional to the potential difference applied.
V = I R
where, V is the potential difference, I is the current and R is the resistance.
The resistance is given by
[tex]R = \frac{V}{I}[/tex]
Answer:
R = V over I
Step-by-step explanation:
A 2km long stretch of road needs to be resurfaced. The width of the road is 8.3m. Model this stretch of road as a rectangle.Work out the area of road that needs to be resurfaced in metre squared. Resurfacing this road costs £30 per square metre What is the total cost to resurface this road?
1 km = 1000 meters
2 km = 2 x 1000 = 2,000 meters
Area = length x width
Area = 2,000 x 8.3 = 16,600 square meters
Cost:
Multiply total area by cost per square meter:
16,600 x 30 = £498,000
Are these relations a function? Yes or no.
{(–1,5), (2, -1),(4,3), (9,-4), (11, 1)}
Function is a set of ordered pairs where there cannot be same x-values or repetitive domain in a set.
For example below below:
{(1,1),(2,3),(3,3),(4,5)}The following relation is a function since there are no same x-values in a set.
{(1,1),(1,2),(2,2),(4,8)}The following relation is not a function since there are same two x-values which is D = {1} or (1,1) and (1,2) both have same domain. Thus, not making the relation a function.
From the question, the relation is a function because in a set of ordered pairs, there aren't any same x-values.
Answer
Yes, the following relation is a function.Find the missing side!!
Answer:
the answer to the question is 12cm
help?- Plot and connect the points A (-4, 4), B (-1, 1), C (-6, 1), and find the length of BC.
A.
4 units
B.
2 units
C.
6 units
D.
5 units
Answer:
BC= 5 units
Step-by-step explanation:
A 95% confidence interval is (70,110). what is the margin for error? A. 19 B.38 C.20 D.40
Answer:
C.20
Step-by-step explanation:
Confidence interval concepts:
A confidence interval has two bounds, a lower bound and an upper bound.
A confidence interval is symmetric, which means that the point estimate used is the mid point between these two bounds, that is, the mean of the two bounds.
The margin of error is the difference between the two bounds, divided by 2.
In this question:
Lower bound: 70
Upper bounf: 110
Margin of error:
[tex]M = \frac{110 - 70}{2} = \frac{40}{2} = 20[/tex]
Thus the correct answer is given by option C.
.........................
Answer:
The literals are; a, b, and c
The constants are; c, and 3
The variables are; x, and y
Step-by-step explanation:
The literals (numbers) are letters which represent numbers in an expression or equation, and to which mathematical operations, including, addition, subtraction, division, and multiplication can be applied
The given equation is a·x² + b·x + c - y + 3 = 0
The literals are;
'a', 'b', and 'c'
The constants are the values that remain the same always in an equation and does not change
The constants are;
'c', and '3'
The variables are the values that vary in relation to one another
The variables are;
'x', and 'y'
Solve the following system of equations using all three methods. Must show your work. 4x + y = 2 3x - 3y = 9
Part A: Solve by graphing.
Part B: Solve by substitution.
Part C: Solve by elimination.
Describe the process and steps you used to solve each method.
Answer:
Step-by-step explanation:
you do part a
Equation 1: 4x+y=2
Equation 2: 3x-3y=9
b
Divide equation 2 by 3
x-y=3
add y to both sides
x=3+y
Sbustitute this into equation 1
4(3+y)=2
12+4y+y=2
5y= -10
y= -2
Plug this into equation 1
4x-2=2
x=1
Part c.
Equation 1: 4x+y=2
Equation 2: 3x-3y=9
divide equation 2 by 3
x-y=3
add the two equations
(x-y)+(4x+y)=2+3
5x=5
x=1
Plug this into equation 1
4(1)+y=2
4+y=2
y= -2
For part a just create a table and graph it
Solve the following system graphically.
y < - x
y =< x - 2
Upload one solution of the system and your graph
Answer:
a solution of the system is the point that satisfies both the equations
(1, -1) is a solution of the system
help on this please
Find < Z
Answer:
150°
Step-by-step explanation:
2x+x+90=180
3x=90
x=30
z= 180-x = 180-30 = 150°
The sum of the interior angle measures of a convex polygon with n sides is given by the expression 180n–360 . Factor the expression.
Answer: 180(n-2)
You use the distribution rule to factor
The distribution rule is a(b+c) = a*b+a*c
f(2) if f(x) = (x + 1)2.
Answer:
6
Step-by-step explanation:
f(2) = (2 + 1)2
(3)2
6
Answer:
6
Step-by-step explanation:
f(2) = (2+1)*2, f(2) = 3*2 = 6
NEED HELP PLS!!!
In circle B with \text{m} \angle ADC= 81m∠ADC=81, find the \text{m} \angle ABCm∠ABC.
Write an equation of the parabola that passes through the point (46, - 150) and has x-intercepts - 4 and 56 . Then find the average rate of change from x= -4 to x=6.
An equation is y =
The average rate of change is
Answer:
6w83ywytahausjsshshfwgwyee
Find the area of the circle. Leave your answer in terms of pi
Answer:
4.84 pi
Step-by-step explanation:
[tex]area = \pi \times {r}^{2} [/tex]
Answer:
484pim^2(d)
Step-by-step explanation:
pir^2
pi(22)^2
484pi
1. A zoo has an Asian elephant that weighs 6 tons. The elephant got sick and lost 1450 pounds. What is the elephants new weight in tons? 2. In a package of balloons, the ratio of purple balloons to green balloons is 3 to 4. What could be the total number of balloons in the package? 3. The ratio of red flowers to yellow flowers in a field is 5 to 7. If there are 392 yellow flowers in the field, how many red flowers are there?
Answer:
1. The new weight of elephant is 5.342 tones.
3. The number of red flowers are 280.
Step-by-step explanation:
1. weight of elephant = 6 tons
weight lost = 1450 pounds
As , 1 pound = 0.000454 ton
So, 1450 pounds = 0.658 ton
The new weight of elephant is
= 6 - 0.658 = 5.342 tones
3.
red flower to the yellow flower is 5 : 7
Number of yellow flowers = 392
Let the red flowers are R.
So,
[tex]\frac {5}{7}=\frac{R}{392}\\\\R = 280[/tex]
The point (5,-12) lies on the terminal side of an angel theta in standard position. Find the exact value of cot theta. Express the answer as a fraction reduced to the lowest term
Answer:
[tex]cot\theta=-\frac{5}{12}[/tex]
Step-by-step explanation:
We are given that the point (5,-12) lies on the terminal side of an angle theta in standard position.
We have to find the exact value of [tex]cot\theta[/tex].
Let
Point (x,y)=(5,-12)
[tex]r=\sqrt{x^2+y^2}[/tex]
Substitute the values
[tex]r=\sqrt{5^2+(-12)^2}[/tex]
[tex]r=\sqrt{169}=13[/tex]
We know that
[tex]cot\theta=\frac{x}{y}[/tex]
Using values
[tex]cot\theta=-\frac{5}{12}[/tex]
What is the measure of RPQ
Answer:
239
Step-by-step explanation:
SP is the diameter so Arc RP is supplementary to Arc SR
[tex]31 + x = 180[/tex]
[tex]x = 149[/tex]
Arc PQ is supplementary to Arc SQ so
[tex]90 + x = 180[/tex]
[tex]x = 90[/tex]
Arc Addition:
[tex]149 + 90 = 239[/tex]
Which of the two data sets shown in the box
plots below has the greater mean?
Answer:
Step-by-step explanation:
Remember that the mean is average
Ex. Set A
Add then divide by the 8
What value of x would make the inequality true?
2x + 5.5 < 20
A) 19/2
B) 9/4
Part two
What other value of x would make the same inequality true?
2x + 5.5 < 20
C) 5
D) 7.25
Giving brainlest!!!
Answer:
whats?
Step-by-step explanation:
Answer:
19/2 and 7.25
Step-by-step explanation:
1.
19/2=9.5
2×9.5+5.5=
19+5.5=
24.5
24.5 <20
verified
2.
2×7.25+5.5<20
14.50+5.5 <20
20 <20
verified
please mark as brainliest answer
expand (y+1)(y-4) !!!!!!
Answer:
Step-by-step explanation:
y^2 - 4y + y - 4
y^2 - 3y - 4
The parabola described by the equation -1/16(x-3)^2 + 4 = y has the directrix at y=8. What is the focus of the parabola?
Answer:
(3, 0)
Step-by-step explanation:
A parabola is the locus of a point such that the distance from a fixed line called directrix and the distance from a fixed point called focus is constant.
The equation of a parabola with a vertex at (h, k) with axis of symmetry parallel to the y axis is given as:
[tex]4p(y-k)=(x-h)^2[/tex]
The directrix is at y = k - p, and focus is at (h, k + p).
Given an equation -1/16(x-3)^2 + 4 = y, expressing it in standard form is:
[tex]-\frac{1}{16}(x-3)^2+4=y\\\\(y-4)= -\frac{1}{16}(x-3)^2\\\\-16(y-4)=(x-3)^2\\\\[/tex]
Comparing with the standard form:
The center = (h, k) = (3, 4)
Also, -16 = 4p
p = -4
Directrix is at y = k - p = 4 - (-4) = 8
Directrix is at y = 8
The focus is at (h, k + p) = (3, 4 + (-4)) = (3, 0)
The focus is at (3, 0)
Determine whether the given triangles are congruent
Answer:
Yes they are congruent and it is explained below
Step-by-step explanation:
There are 5 postulates when testing for congruency and they are;
SSS, SAS, ASA, AAS and HL.
S represents side
A represents angle
H represents hypotenuse
L represents leg
Now, in this our question, we can see that the 3 angles and the three sides of both triangles are equal to each other.
Thus, we can make use of SSS postulate whereby we say the 3 sides of the first triangle are equal to the 3 sides of the second triangle.
Thus, they are congruent.
8. The Oklahoma Museum of Natural History claims that on average, a square foot of grass contains 3.1 x 10^3 blades of grass. The soccer field has an area of 1.148 x 10^5 square feet. How many blades of grass are on the entire soccer field?
Answer:
3.5588 x 10⁸
Step-by-step explanation:
(3.1 x 10³) (1.148 x 10⁵) = (3.1 x 1.148) (10³ x 10⁵)
= 3.5588 x 10⁸
9514 1404 393
Answer:
3.6×10^8
Step-by-step explanation:
Your calculator or spreadsheet can multiply these numbers for you and give you the answer in scientific notation.
(3.1×10^3)×(1.148×10^5) = (3.1×1.148)×10^(3+5) = 3.5588×10^8
The supplied numbers have 2 and 4 significant digits, so rounding of the answer to 2 significant digits is appropriate.
about 3.6×10^8 blades of grass are on the entire soccer field
(n+t) divided by 4 i need the answer please
Answer:
[tex]\frac{n+t}{4}[/tex]
Step-by-step explanation:
(n+t) divided by 4
The equation would be [tex]\frac{n+t}{4}[/tex]
Hope this helps
Answer:
(n+t)/4
Step-by-step explanation:
Which expression is equivalent to 24 1/3? A. 2 square root 3 B. 2(3 square root 3) C.2 squareroot 6 D 2(3 square root 6) (look at image please)
Answer: Its B
Explanation: took the quiz
[tex]\longrightarrow{\pink{ B. \:2\sqrt[3]{3} }}[/tex]
[tex]\sf \bf {\boxed {\mathbb {STEP-BY-STEP\:\:EXPLANATION:}}}[/tex]
[tex]= {24}^{ \frac{1}{3} } [/tex]
[tex] = \sqrt[3]{24} [/tex]
[tex] = \sqrt[3]{2 \times 2 \times 2 \times 3} [/tex]
[tex] = \sqrt[3]{ ({2})^{3} \times 3} [/tex]
[tex] = 2\sqrt[3]{3} [/tex]
[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35♛}}}}}[/tex]
Which expression is equivalent to this quotient?
[tex]\frac{1}{x+5} \\\frac{x+3}{5x+15}[/tex]
A factory puts 2,000 picture frames in each shipment. How many picture frames will the
factory put in 2 shipments?
picture frames
Please help! What is the division problem represented by this model?
Answer:
the answer is 42/100
42 blocks are shaded out of 100
Choose the methods of solving quadratic equations
Completing the Square
Factoring
Square Root Method
Area Formula
Simplifying
Cross Multiplication
Guess and Check
Quadratic Formula
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 this quadratic equation using the quadratic formula.
x2 + 8x - 5 = 0
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 this quadratic equation using the quadratic formula.
2x2 - 2x = 1
Answer:
Factoring square root method quadratic formula completing the square method . x1=3+(check)3 and x2=3-(check)3 .
Step-by-step explanation:
Have an amazing day<3 thirty percent chance this is right 70 it’s wrong
the average length of string a and string d is 10x cm. the average length of string b and string c is 8x cm . the average length of strings b , c , d is 6x cm . find the length of string a in terms of x
Answer:
[tex]a = 18x[/tex]
Step-by-step explanation:
Given
[tex]\frac{1}{2}(a + d) = 10x[/tex]
[tex]\frac{1}{2}(b + c) = 8x[/tex]
[tex]\frac{1}{3}(b + c+d) = 6x[/tex]
Required
The value of (a)
We have:
[tex]\frac{1}{2}(a + d) = 10x[/tex] --- multiply by 2
[tex]\frac{1}{2}(b + c) = 8x[/tex] --- multiply by 2
[tex]\frac{1}{3}(b + c+d) = 6x[/tex] --- multiply by 3
So, we have:
[tex]\frac{1}{2}(a + d) = 10x[/tex]
[tex]a + d = 20x[/tex]
[tex]\frac{1}{2}(b + c) = 8x[/tex]
[tex]b + c = 16x[/tex]
[tex]\frac{1}{3}(b + c+d) = 6x[/tex]
[tex]b + c + d= 18x[/tex]
Substitute [tex]b + c = 16x[/tex] in [tex]b + c + d= 18x[/tex]
[tex]16x + d = 18x[/tex]
Solve for d
[tex]d = 18x - 16x[/tex]
[tex]d = 2x[/tex]
Substitute [tex]d = 2x[/tex] in [tex]a + d = 20x[/tex]
[tex]a + 2x = 20x[/tex]
Solve for (a)
[tex]a = 20x - 2x[/tex]
[tex]a = 18x[/tex]
