Answer:
4000
Step-by-step explanation:
Davila can job 400 feet in 8 min
What is the domain restriction of this expression?
(m-7)/(4m-20)
Answer:
m ≠ ____.
Answer:
m ≠5
Step-by-step explanation:
We cannot divide by zero, so the denominator cannot equal zero. That is the only restriction on the domain.
4m-20 ≠ 0
Add 20 to each side
4m-20+20 ≠20
4m ≠20
Divide each side by 4
4m/4 ≠20/4
m ≠5
Answer:
m ≠ 5
——
Step-by-step explanation:
Make the equation equal to zero.
4m - 20 = 0
Solve for the restriction.
4m - 20 = 0
Add 20 to both sides.
4m = 20
Divide both sides by 4.
m = 5
Answer:
m ≠ 5
Find the fifth roots of 243(cos 260° + i sin 260°).
Answer:
z1=3 cos (52 + i sin 52)
z2 =3 cos (124 + i sin 124)
z3 = 3 cos (196 + i sin 196)
z4 =3 cos (268 + i sin 268)
z5= 3 cos (340 + i sin 340)
Step-by-step explanation:
To find the fifth roots of 243 (cos 260° + i sin 260°).
z ^ 1/5 = r^1/5 ( cis ( theta + 360 *k)/5) where k=0,1,2,3,4
So the first root of 243 (cos 260° + i sin 260°)
is z1 = 243^1/5 ( cis ( 260 + 360 *0)/5)
3 cis ( 260/5)
= 3 cis (52)
= 3 cos (52 + i sin 52)
The second root of 243 (cos 260° + i sin 260°)
is z2 = 243^1/5 ( cis ( 260 + 360 *1)/5)
3 cis ( 620/5)
= 3 cis (124)
= 3 cos (124 + i sin 124)
The third root of 243 (cos 260° + i sin 260°)
is z3 = 243^1/5 ( cis ( 260 + 360 *2)/5)
3 cis ( 980/5)
= 3 cis (196)
= 3 cos (196 + i sin 196)
The fourth root of 243 (cos 260° + i sin 260°)
is z4 = 243^1/5 ( cis ( 260 + 360 *3)/5)
3 cis ( 1340/5)
= 3 cis (268)
= 3 cos (268 + i sin 268)
The fifth root of 243 (cos 260° + i sin 260°)
is z5 = 243^1/5 ( cis ( 260 + 360 *4)/5)
3 cis ( 1700/5)
= 3 cis (340)
= 3 cos (340 + i sin 340)
What are examples of self-reliant and how are you self-reliant?
I need to hear from other peers, thank you:)
What is m∠C?
Enter your answer in the box.
Answer:
angle C is 60 degrees
Step-by-step explanation:
First you would solve for X
once you have that plug it in angle C
2(30)=60
Answer:
60°
Step-by-step explanation:
∠B is a right angle and all right angles are 90°, so if ∠B = 3*x then to find x you divid 3 by 90 to get x because 3*x = 90 once you do that you get 30 so x=30 then to find ∠C you just multiply 2 by 30 which gives you 60 which means the measure of ∠C = 60°
hope this helps :D
A student bought a truck with a down payment of 4000 and monthly payments of $250 for four years. What was the total cost of the truck
can someone help me please and thank you
Find the ratio of the two similar sides that both dimensions are given.
The smaller triangle aide that is 4 units is the similar side of the larger triangle given as 8 units.
8 / 4 =2, this means the larger triangle is 2 times the size of the smaller triangle, which also means the smaller triangle is 1/2 the size of the larger triangle.
X on the smaller triangle is 1/2 11 units which equals 5.5 units.
Y is 2 times 3, which equals 6 units.
x = 5.5
y = 6
How many soccer players that are getting paid around the world are there???
Answer for 15 points! PLZ be correct info!!!
Write 4/9, 5/9, and 6/9 as decimals. What pattern do you see? Use the pattern to predict the decimal form of 7/9 and 8/9
The commission Gary earns is proportional to the cost of the shoes he sellis. Gary earns $15 in commission for every S150 worth of shoes that he sells. Which equation gives the total commission, C Gary will earn based on the cost, s, of the shoes he sels?
Answer:
15x + 150
Step-by-step explanation:
Someone please help.
ABC has vertices A(0,6) B(4,6) C(1,3). Sketch a graph of ABC and use it to find the orthocenter of ABC. Then list the steps you took to find the orthocenter including any necessary points or slopes you had to derive.
Answer:
Step-by-step explanation:
It's solved by grafic method
Can someone help me with these 2 problems plz
*Help ASAP Please! Studying for finals and I'm stuck on this question!*
5. Find the measure, to the nearest tenth, of the diagonal of a rectangle with dimensions 14 cm by 6 cm.
A) 16.3 cm
B) 12.6 cm
C) 15.2 cm
D) 4.5 cm
Answer: C
Step-by-step explanation:
A rectangle has 90° angles. So, the diagonal cuts the rectangle into two right triangles where the length (base) and the width (side) are the legs of the right triangle and the diagonal is the hypotenuse. Thus, the Pythagorean Theorem can be used: (leg a)² + (leg b)² = (hypotenuse)²
14² + 6² = hypotenuse²
196 + 36 = hypotenuse²
232 = hypotenuse²
√232 = √hypotenuse²
15.23 = hypotenuse
How many ways can the letters be arranged?
TJKL
A) 10 ways
B) 16 ways
C) 18 ways
D) 24 ways
TJKL - different letters
for the first place you have 4 letters to choose from
for the second place you have 3 letters to choose from
for the third place you have 2 letters to choose from
for the last place you have only one letter
Therefore your answer is:
[tex]\boxed{4}\cdot\boxed{3}\cdot\boxed{2}\cdot\boxed{1}=24\to\boxed{D)}[/tex]
Use the table below to answer this question:
x y
−3 −3
0 3
1 5
Find the average rate of change for the given function from x = −3 to x = 1.
2
−3
−1
−2
Answer:
2
Step-by-step explanation:
We can find the average rate of change by using the formula
rate of change = (y2-y1) /(x2-x1)
= (5-3)/(1-0)
= 2/1
=2
Answer:
A. 2
Step-by-step explanation:
average rate of change from x1 to x2 is
[f(x2) - f(x1)]/(x2 - x1)
Here we have x1 = -3; f(x1) = -3; x2 = 1; f(x2) = 5
average rate of change from x1 to x2 =
= [f(x2) - f(x1)]/(x2 - x1)
= [5 - (-3)]/(1 - (-3))
= 8/4
= 2
If Nelson invests $5,000 for 4 years and earns $600, what is the simple interest rate?
Simple interest rate = 3%.
Since the given invested amount = $5000, number of years of investment = 4 years, interest earned = $600. 600 = 5000 × R × 4, 600 = 20000R, Dividing both sides by 20000, we get 0.003 which is 3%.
Answer:
3
Step-by-step explanation:
the trip to omaha to salt lake city interstate 80 is about 1516 kilometers. at 90 km perhour the trip would take about
A cube has a volume of 1/8. If the cube holds 24 of these sugar cubes, what is the total volume of the box?
Answer:
the answer is 3 in.3
Step-by-step explanation:
So the correct answer Is A, but can you explain how you get that answer?
The first thing to notice is that the smaller triangle on the left is equilateral, because of the same single tickmarks on each of the three sides. For any equilateral triangle, each interior angle is 60 degrees as you have marked it on the drawing.
Once you determine that, you would solve for the 120 degree angle (60+120 = 180). Afterward, solve the equation 120+x+x = 180 to find that x = 30. The equation 120+x+x = 180 refers to adding up the three angles of the smaller triangle on the right side (with angles 120, x, x). The two missing angles are both x due to the fact that this triangle is isosceles.
Answer:
Step-by-step explanation:
Since ∆ABC is equilateral, all of its angles would be the same (60°). Since a line is 180°, the other part of ∠C is 120°. Since we also know that △BCD is isosceles, we know that angles ∠B and ∠D are equal. If a triangle is 180°, and we already know that ∠C is 120°, we can do 180-120, which is 60°. If angles ∠B and ∠D are equal, we can do 60/2=30. Therefore, ∠D is 30°.
Lynne used 3 over 8 cup of flour and over 3 cup of sugar in a recipe.What number is a common denominator for 3 over 8 and 1 over 3
Answer: The common denominator for 3/8 and 1/3 is 24
Step-by-step explanation:
3/8 and 1/3 can be multiplied by each other in the numerator and denominator: 3/8(3/3) = 9/24 and 1/3(8/8) = 8/24
In the figure below, if BE is the perpendicular bisector of AD , what is the value of x?
Answer:
x = 10Step-by-step explanation:
Since BE is perpendicular bisector AE=EDSubstituting we have:3x + 5 = x + 25 solving for x x = 10Jenna bought a bike for $200. The value of the bike decreases by 5% each year. Write an equation to model the situation.
This is an exponential function. Since each year the value of the bike decreases by 5%, each year, the value of the bike is 100%-5%=95% of it's original value. So after x years, the value of the bike would be 200(0.95)^x.
Answer:
(200 - (200 x 5 / 100))^Y
Step-by-step explanation:
As the initial value of the bike is $200, that would be a fixed number in our equation. Each year, this will lose 5% of its value, therefore, it would be another fixed value in it. Then, we have to exponentiate it by the number of years that have passed since the initial value (Y). As a result, the equation to model the situation would be this one:
(200 - (200 x 5 / 100))^Y
Is b perpendicular to a? Justify your answer.
Set up the equation: 2x+37+3x+y=180 ⇒ 4x+y=143
2x+y+3y-21=180 ⇒2x+4y=201.
Solving for x and y, you get that y=37, thus making x=26.5
Now, for b to be perpendicular to a, 2x+37 must equal 90.
2*26.5+37=90, so b is perpendicular to a.
Whether 'b' is perpendicular to 'a' is determined by their dot product. If the dot product of 'b' and 'a' is zero, then 'b' is perpendicular to 'a'. However, without knowing the specific components of these vectors, a precise computation can't be made.
Explanation:In mathematics, particularly in vector algebra, vectors are said to be perpendicular or orthogonal if their dot product is zero. This is because the dot product of two vectors encapsulates the angle between them, defined as A·B = |A||B|cos(θ), where θ is the angle. If θ is 90 degrees (indicating the vectors are perpendicular), cos(θ) becomes 0, thus the dot product should be zero.
Therefore, to determine whether 'b' is perpendicular to 'a', we need to compute their dot product. If their dot product equals zero, then we can conclusively say that 'b' is perpendicular to 'a'. Beyond this, you'd need to provide the components of vectors 'a' and 'b' for a specific computation.
Learn more about Perpendicular Vectors here:https://brainly.com/question/35891441
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Give the equation of the line in slope-intercept form that has the slope of 5 and goes through the point (0, -3).
Answer:
y=-3x+5
-3 is y ntercept
Function g is transformed to obtain function h as shown.
(x)=4g(x+5)
A.
The graph of h is the graph of g vertically stretched by a factor of 4 and shifted 5 units to the left.
B.
The graph of h is the graph of g vertically shrunk by a factor of 4 and shifted 5 units to the right.
C.
The graph of h is the graph of g vertically stretched by a factor of 4 and shifted 5 units to the right.
D.
The graph of h is the graph of g vertically shrunk by a factor of 4 and shifted 5 units to the left.
Answer:
A
Step-by-step explanation:
The transformation is [tex]h(x)=4*g(x+5)[/tex].
4*g(x+5) means g(x) is vertically shifted by a factor if 4 by multiplying the entire function by 4. The values increase and are stretched (not shrunk to smaller).g(x+5) means the input x is increased by 5 each time. This results in a horizontal shift left on the graphThe answer is A. The graph of h is the graph of g vertically stretched by a factor of 4 and shifted 5 units to the left.
Answer: A for plato users
Could someone help I can’t get this one
Statement Reason
1. AB = CD, AD = CB 1. Given
2. AC = AC 2. Reflexive Property
3. ΔADC ≅ ΔCBA 3. SSS
4. ∠1 = ∠4 4. CPCTC
5. DC || AB 5. Alternate Interior Angles Converse Thm
Triangle STU is dilated to form new triangle VWX. If angle S is congruent to angle V, what other information will prove that the two triangles are similar? Side ST is congruent to side VW. Angle T is congruent to angle V. Side US is congruent to side XV. Angle U is congruent to angle X.
Answer:
(D)
Step-by-step explanation:
Two triangles are similar if it satisfies the following properties:
1) Corresponding angles are congruent.
2) Corresponding sides are all in same proportion.
Here, ΔSTU and ΔVWX are given, where ∠S is congruent to ∠V.
To prove these two triangles similar, we need one more corresponding angle to be congruent.
And from all the options, (d) Angle U is congruent to angle X. will help in proving ΔSTU and ΔVWX similar triangles.
Therefore, (d) is correct.
Answer:
d)Angle U is congruent to angle X.
Step-by-step explanation:
Justin is a software salesman. His base salary is 1900
, and he makes an additional 50
for every copy of English is Fun he sells.
Let P
represent his total pay (in dollars), and let N
represent the number of copies of English is Fun he sells. Write an equation relating P
to N
. Then use this equation to find his total pay if he sells 27
copies of English is Fun.
Answer:
3250 is your total; p = 50n + 1900 is your equation.
Step-by-step explanation:
"p" represents total pay; "n" represents the number of copies he sells.
Base salary is 1900, and each copy sold gives him an extra 50
p = 50n + 1900 is your equation.
If he sells 27 copies. Plug in 27 for n
p = 50n + 1900
p = 50(27) + 1900
Simplify. Remember to follow PEMDAS. First, multiply, then add.
p = 50(27) + 1900
p = 1350 + 1900
p = 3250
~
On mars,your weigh is about 1/3 of your weigh on earth. If a fifth grader weighs 96 pounds on earth,about how much would they weigh on mars
Answer:
32
Step-by-step explanation:
You just have to find out whats 1/3 of 96
just divided 96 by 3 to get 32
Jon is looking into a $4250 vacation package that is offered for 25% off. There is a 9% resort fee added on to the total. How much will the vacation cost Jon?
Answer:
3187.59
Step-by-step explanation:
Add 4250 - 25% + 9% and u should have this exact answer
- The one guy who has a F in math
PLEASE NEED HELP!
:"3
Answer:
Option 2
Step-by-step explanation:
When completing a proof, the statements and reasons should be directly connected. Since the reason listed next to the missing statement is Def of Complimentary Angles, the statement must be about angles adding to 90 degrees. The definition of Complimentary Angles is that two angles add to 90. This means option 2 is the answer.