Answer:
-5/2
Step-by-step explanation:
Since they are both parallel they have the same rate of change. this means they have the same slope
Final answer:
Since line w is parallel to line v, which has a slope of -5/2, the slope of line w is also -5/2.
Explanation:
When two lines are parallel, they have the same slope. In this case, the slope of line w will be the same as the slope of line v.
Therefore, the slope of line w is -5/2.
The question asks about the slope of two parallel lines. By definition, parallel lines have the same slope. Given that line v has a slope of -5/2, and line w is parallel to line v, the slope of line w must also be -5/2. Therefore, line w, being parallel to line v, has a slope of -5/2.
Which helps to establish a negative credit history?
O Make payments on or before the due date.
O Never miss a payment.
O Pay Sif the full amount with the first monthly statement.
O Pay less than the minimum amount due.
Answer:
D: Pay less than the minimum amount due.
Step-by-step explanation:
Name the property shown by each statement and which is associative or commutation or simply
Answer:
The associative property states that you can add or multiply regardless of how the numbers are grouped. By 'grouped' we mean 'how you use parenthesis'. In other words, if you are adding or multiplying it does not matter where you put the parenthesis. Add some parenthesis any where you like!.
The Commutative property states that order does not matter. Multiplication and addition are commutative.
hope this helps please mark brainliest!
U. AD-3
3. One of the acute angles in a right triangle has a measure of 34.6°. What is the measure of the other acute
angle?
a. 145.40
c. 55.4°
b. 34.6°
d. 90°
Solution:
Given that,
One of the acute angles in a right triangle has a measure of 34.6°
The sum of the three angles of a triangle is always 180 degrees.
Also, that the measure of a right angle is always 90 degrees
Let "x" be the other acute angle
Therefore,
x + 90 + 34.6 = 180
x + 124.6 = 180
x = 180 - 124.6
x = 55.4
Thus the measure of other acute angle is 55.4 degrees
Answer:
Yes, what the other person said
Step-by-step explanation: basically you subtract 90.0 - 34.6
Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in standard form.
3, -13, and 5 + 4i
f(x) = x4 - 8x3 - 12x2 + 400x - 1599
f(x) = x4 - 200x2 + 800x - 1599
f(x) = x4 - 98x2 + 800x - 1599
f(x) = x4 - 8x3 + 12x2 - 400x + 1599
Answer:
third option
Step-by-step explanation:
Given f(x) has zeros x = a, x = b, then
the factors are (x - a), (x - b) and the polynomial is the product of the factors.
Complex zeros occur as conjugate pairs, thus
5 + 4i is a zero then 5 - 4i is a zero
The zeros are x = 3, x = - 13, x = 5 + 4i, x = 5 - 4i, thus the factors are
(x - 3), (x - (- 13)), (x - (5 + 4i)), (x - (5 - 4i)), that is
(x - 3), (x + 13), (x - 5 - 4i), (x - 5 + 4i)
= (x - 3), (x + 13), ((x - 5) - 4i), ((x - 5) + 4i)
The polynomial is the product of the factors
f(x) = (x - 3)(x + 13)((x - 5) - 4i)((x - 5) + 4i) ← expand factors in pairs
= (x² + 10x - 39)((x - 5)² - 16i²) → i² = - 1
= (x² + 10x - 39)(x² - 10x + 25 + 16)
= (x² + 10x - 39)(x² - 10x + 41) ← distribute
= [tex]x^{4}[/tex] - 10x³ + 41x² + 10x³ - 100x² + 410x - 39x² + 390x - 1599 ← collect terms
= [tex]x^{4}[/tex] - 98x² + 800x - 1599
Answer:
The third option
Step-by-step explanation:
Consider the given statement. At least one gift in the bag is wrapped.
For each statement below, determine whether it is a negation of the given statement is True or False.
At least one gift in the bag is not wrapped.
Not every gift in the bag is wrapped.
Every gift in the bag is wrapped.
None of the gifts in the bag are wrapped.
Answer:
The negation to the given statement "At least one gift in the bag is wrapped - true" is " At least one gift in the bag is not wrapped" - False
At least one gift in the bag is not wrapped - False Not every gift in the bag is wrapped-True Every gift in the bag is wrapped-False None of the gifts in the bag are wrapped-FalseStep-by-step explanation:
Given statement is At least one gift in the bag is wrapped is true
The negation to the given statement is " At least one gift in the bag is not wrapped" - False
To determine whether the statement is a negation of the given statement is True or False :
At least one gift in the bag is not wrapped - False Not every gift in the bag is wrapped-True Every gift in the bag is wrapped-False None of the gifts in the bag are wrapped-False(a) How far does a car travel if it moves at 52 miles per hour for 3.5 hours?
Answer:
182 miles
Step-by-step explanation:
52 times 3.5=182
The Answer is 182 miles
When multiplying 52 by 3.5 you'll get 182 as the product
The sum of two numbers is 141. One number is 37 more than the other. Find the numbers
Answer:
104
Step-by-step explanation:
x+37=141
subtract 37 from both sides
-37=141-37
x= 104
Step-by-step explanation:
x = First number
x + x + 37 = 141 (Because we know that the 2nd number is 37 more than the first, we can just say x + 37.)
2x + 37 = 141 (Combine like terms.)
2x = 104 (Subtract 37 from both sides.)
x = 52 (Divide 2 from both sides.)
Now we know that the first number is 52. Now we just add the 37 to 52 to find the second number.
37 + 52 = 89 = Second number
Proof: 52 + 89 = 141
In order to solve the following system of equations by subtraction, which of
the following could you do before subtracting the equations so that one
variable will be eliminated when you subtract them?
4x – 2y = 7
3x – 3y=15
A. Multiply the top equation by 1/3
B. Multiply the top equation by 3 and the bottom equation by 4.
C. Multiply the top equation by-3 and the bottom equation by 2.
D. Multiply the top equation by 15 and the bottom equation by 7.
Answer:
B
Step-by-step explanation:
B produces the term 12x that cancels out after subtraction.
In order to eliminate one variable by subtracting, you should multiply the top equation by -3 and the bottom equation by 2. In doing so, this will make the coefficients of y equal and opposite, allowing this variable to be eliminated when the two equations are added together.
Explanation:The question relates to the method of solving a system of linear equations by subtraction. In order to eliminate one variable when subtracting these equations, we would need to manipulate the equations such that the coefficients of one variable are exact opposites. Hence, the objective is to make the coefficients of y, -2 and -3, opposite each other.
To achieve this, the correct answer is C. Multiply the top equation by -3 and the bottom equation by 2.
By performing these multiplications we'll have:
-12x + 6y = -21.
6x - 6y = 30.
Now, if we add these two equations, we'll be able to eliminate the y variable and can proceed to solve for x.
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How many tens are in 50,000
The distance between two cities on a map is 4 1/2 inches. The actual distance between the two cities is 24 miles.
What is the scale used on the map?
If the scale on a different map of the same area is 1/4 inch = 1 mile, how many inches separate the same two cities?
Answer:
1 inch : 5⅓ miles
6 inches
Step-by-step explanation:
Map : Actual
4½ : 24
1 : 24/4.5
24 ÷ 9/2 = 24 × 2/9 =
1 inch on map represents an actual distance of 16/3 miles in actual
16/3 = 5⅓ miles
Map : Actual
¼ inch : 1 mile
X inch : 24
¼×24 = 6 inches
Answer: 3/16 inches : 1 mile
6 inches
Step-by-step explanation:
[tex]\dfrac{\text{Model}}{\text{Actual}}:\dfrac{4\frac{1}{2}\ inches}{24\ miles}\div\dfrac{24}{24}=\dfrac{\frac{3}{16}}{1}\quad \longrightarrow \quad \large\boxed{\dfrac{3}{16}\ inches:1\ mile}\\[/tex]
[tex]\dfrac{\text{Model}}{\text{Actual}}:\dfrac{\frac{1}{4}\ inches}{1\ mile}=\dfrac{x}{24\ miles}\\\\\\\text{Cross Multiply}:\quad \dfrac{1}{4}\bigg(24\bigg)=x\\\\.\qquad \qquad \qquad \qquad \quad \quad \large\boxed{6=x}[/tex]
Suppose the diameter of a circle is \color{green}{6}6start color green, 6, end color green units. What is its circumference?
Answer:
C = 6pi units
or
C is approximately 18.84 units
Step-by-step explanation:
The circumference of a circle is given by
C = pi *d
The diameter is 6 units
C = 6*pi units
If we approximate pi by 3.14
C = 6*3.14
C = 18.84 units
Is 4/6 is farther from 1/2
Answer: Yes
sdizjaoijf
What is it I really need to know please
Answer:
12
Step-by-step explanation:
Just take 35 and subtract 23.
what is 2 and 1 4th times 1 and 1 half
Answer:
3 3/8
Step-by-step explanation:
Fill in the blank to make a true equation. (-9)(___) = 36 A. - 4 B. 4 C. 6 D. - 6
Answer:
Option A, -4
Step-by-step explanation:
Step 1: Make an equation to represent the problem
(-9)(x) = 36
Step 2: Solve for x by dividing both sides by -9
-9x / -9 = 36 / -9
x = -4
Answer: Option A, -4
pLeAsE hElP! HuRrY!
Solve for A:
14a < 112
A.) a < -8
B.) a > 8
C.) a > -8
D.) a < 8
4-2y+3=-9
What is y?
y = 8
hope this helps :)
The wholesale price for a pair of shoes is $8.50. A certain department store marks up the wholesale price by 90%. Find the price of the pair of shoes in the department store. Round your answer to the nearest cent, as necessary.
Answer:
$16.15
Step-by-step explanation:
The wholesale price:
$8.50Selling Price:
$8.50 + 90% = $8.50 *1.9 = $16.15Pair of shoes sold for $16.15 in the store
The department store marks up the wholesale price by 90%, equating to $7.65. Adding this to the original wholesale price of $8.50, the retail price of the shoes in the department store is $16.15.
Explanation:To calculate the retail price of the shoes in the department store, we need to add the markup value to the original wholesale price. The markup is 90% of the wholesale price. Therefore, we calculate 90% of $8.50, and then add that to the original price.
To find 90% of $8.50, we multiply $8.50 by 90/100. This gives us $7.65. This is the markup value.
We then add this markup value to the original wholesale price. So, $8.50 + $7.65 = $16.15.
The price of the pair of shoes in the department store is therefore $16.15.
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−4 5/9+8/9+ 0+0+0+0+0+0+0+0=
Answer:
-3.66666666668
Step-by-step explanation:
The zero's you do not have to add because they have to content or value.
-4 5/9 into improper = 31/9 = -4.55555555556
8/9 = 0.88888888888
ADD
[tex]\left\begin{array}{ccc}-4.55555555556\\+\\0.88888888888\end{array}\right\\---------[/tex]
-3.66666666668
Hope this helps you!
Have a good night! :)
Answer:
-3.66666666668
Step-by-step explanation:
Alyssa and Gabriel play the following game. Alyssa rolls a die. If she rolls a 1, 2, or 3, Gabriel gives Alyssa $4. If Alyssa rolls a 4 or 5, Gabriel gives Alyssa $1. However, if Alyssa rolls a 6, she gives Gabriel $12.
a) Determine Alyssa's expectation.
b) Determine Gabriel's expectation.
11.3 #12
Answer:
Part a) Alyssa's expectation is equal to $0.33
Part b) Gabriel's expectation is equal to -$0.33
Step-by-step explanation:
we know that
The expected value is the probability of winning multiplied by the value you get when you win, plus the probability of losing multiplied by the value you get when you lose (which is negative as it is a loss).
Part a) Determine Alyssa's expectation
we know that
1) If Alyssa rolls a 1, 2, or 3, Gabriel gives Alyssa $4
The probability is 3/6
so
we have
[tex]\frac{3}{6}(4)=\$2[/tex]
2) If Alyssa rolls a 4, or 5, Gabriel gives Alyssa $1
The probability is 2/6
so
we have
[tex]\frac{2}{6}(1)=\$0.33[/tex]
3) if Alyssa rolls a 6, she gives Gabriel $12
The probability is 1/6
so
we have
[tex]-\frac{1}{6}(12)=-\$2[/tex] ---> is negative because is a loss
therefore
Alyssa's expectation is equal to
[tex]\$2+\$0.33-\$2=\$0.33[/tex]
Part b) Determine Gabriel's expectation
we know that
1) If Alyssa rolls a 1, 2, or 3, Gabriel gives Alyssa $4
Is a loss for Gabriel
The probability is 3/6
so
we have
[tex]-\frac{3}{6}(4)=-\$2[/tex] ---> is negative because is a loss
2) If Alyssa rolls a 4, or 5, Gabriel gives Alyssa $1
Is a loss for Gabriel
The probability is 2/6
so
we have
[tex]-\frac{2}{6}(1)=-\$0.33[/tex] ---> is negative because is a loss
3) if Alyssa rolls a 6, she gives Gabriel $12
Is a win for Gabriel
The probability is 1/6
so
we have
[tex]\frac{1}{6}(12)=\$2[/tex]
therefore
Gabriel's expectation is equal to
[tex]-\$2-\$0.33+\$2=-\$0.33[/tex]
The expected outcomes for both Alyssa and Gabriel from the game are $0. This is calculated using the probabilities of each outcome and their respective gains or losses.
Explanation:In the game between Alyssa and Gabriel, we are to calculate the expected outcomes for both players. To calculate the expectation, we will weigh the possible outcomes ($4, $1, -$12 for Alyssa and -$4, -$1, $12 for Gabriel) by their probabilities.
The dice has six faces, so the probability for each outcome is determined by the number of corresponding faces divided by six. Let's calculate the expectation for both:
Alyssa's expectation: (1/2 * $4) + (1/3 * $1) - (1/6 * $12) = $2 - $2 = $0. Gabriel's expectation: -(1/2 * $4) - (1/3 * $1) + (1/6 * $12) = -$2 + $2 = $0.
So, both Alyssa and Gabriel have an expected gain of $0 from this game.
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Helppppppppppppppppppp
An art supply store typically sells bottles of green paint for every 9 bottles of aqua paint. How many bottles of aqua paint does it sell when it sells 30 bottles of green paint?
Final answer:
The store sells 270 bottles of aqua paint when it sells 30 bottles of green paint.
Explanation:
To find out how many bottles of aqua paint the store sells when it sells 30 bottles of green paint, we can set up a proportion. Since the store sells 9 bottles of aqua paint for every 1 bottle of green paint, we have the ratio 9/1. We can set this equal to the unknown quantity, x, over 30 (the number of green paint bottles).
9/1 = x/30
Next, cross multiply to solve for x. Cross multiplying gives us:
9 * 30 = 1 * x
Simplifying this equation gives us:
270 = x
Therefore, the store sells 270 bottles of aqua paint when it sells 30 bottles of green paint.
lily can travel 60 miles in 1.5 hours. If her speed is reduced by 5 mph,how har can she travel in 3 hours
Answer:
110
Step-by-step explanation:
Answer:
105 miles
Step-by-step explanation:
first we have to find her speed before it is reduced
so
60/1.5
thats equal to 40
she can travel 40 mph
reduce that by 5 so her speed is now 35mph
35*3=105
-4x + 26 = -2 whats x?
Answer:
The value of x is equal to 7
Step-by-step explanation:
if -4x + 26 = -2
-4x = -2 - 26
-4x = - 28
Divide both sides by -4, then we will have
x = -28/-4
x = 7
Steps to solve:
-4x + 26 = -2
~Subtract 26 to both sides
-4x + 26 - 26 = -2 - 26
~Simplify
-4x = -28
~Divide -4 to both sides
-4x/-4 = -28/-4
~Simplify
x = 7
Best of Luck!
9 yd
12 yd
What is the length of the hypotenuse?
Answer:
Hi there!
The correct answer will be 15 yd
Step-by-step explanation:
There are two ways you can go about solving this problem
Method One: Pythagorean Theorem
a^2 + b^2 = c^2 then all you have to do is plug in the values
(12)^2 + (9)^2 = c^2 you should get c^2 = 225 then you square root both sides and you get c = 15
Method Two: Pythagorean Identities
This triangle represents a 3,4,5 triangle
All the sides just tripled so that means the hypotenuse is 5*3 which equals 15
Write an equivalent expression for x + x + x + 2x + x
Answer:
6x
Step-by-step explanation:
x + x + x + 2x + x
Simplify the equation
4x + 2x
6x
Hope this was useful to you!
the retail cost of a computer is 22% more than its wholesale cost. what is the whole sale cost?
Answer:5
Step-by-step explanation:
you do it
Find, to the nearest degree, the angle of elevation of the sun when a person 170 cm tall casts of shadow 220 cm long.
Trigonometry
Answer:
Θ = 52°
Step-by-step explanation:
Once you've set up the triangle, you can see that the adjacent side is 170 cm and the opposite side is 220 cm.
tanΘ = [tex]\frac{220}{170}[/tex]
Θ = tan-1 (220/170)
Θ = 52°
The angle of elevation of the sun when a person 170 cm tall casts of shadow 220 cm long is 37.694°.
What is trigonometry?Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.
A person 170 cm tall casts of shadow 220 cm long.
Then the angle will be
[tex]\rm tan \theta = \dfrac{Perpendicular }{Base}[/tex]
We have
Perpendicular = 170 cm
Base = 220 cm
Then
[tex]\rm tan \theta = \dfrac{170}{220}\\\\\\ \theta \ \ \ \ = tan^{-1} \dfrac{170}{220}\\\\\\\theta \ \ \ \ = 37.694^o[/tex]
More about the trigonometry link is given below.
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The sum of two consecutive integers is one less than three times the smaller integer. Find the two integers.
The small number is 2.
The large number is 3.
Step-by-step explanation:
Let the two consecutive numbers be x and x+1.
x be the small integer.x+1 be the large integer.The sum of these two consecutive integers = small integer + large integer
The sum of these two consecutive integers is x+x+1 = (2x+1)
It is given that,
The sum of two consecutive integers is one less than three times the smaller integer.This means that, (2x+1) is one less than three times the smaller integer.Here, the small integer is represented as x.Therefore, it can determined that :
(2x+1) = 3x-1
Keeping x term on one side and constants on other side,
3x-2x = 1+1
x = 2
Therefore, the small number is 2 and the large number is x+1 = 3.
Use the quadratic formula to solve the equation
Answer:
=3
=2
Step-by-step explanation:
12−5+6=0
using the Quadratic Formula where
a = 1, b = -5, and c = 6
=−±2−4‾‾‾‾‾‾‾‾√2
=−(−5)±(−5)2−4(1)(6)‾‾‾‾‾‾‾‾‾‾‾‾‾‾√2(1)
=5±25−24‾‾‾‾‾‾‾√2
=5±1‾√2
The discriminant 2−4>0
so, there are two real roots.
Simplify the Radical:
=5±12
=62=42
which becomes
=3
=2
hope this helps :)