Answer: 0.3
Step-by-step explanation:
\(\frac{3}{10}\) = 0.3
Solve the system of equations-y = -1 and -51 - 3y = -15 by combining the equations
Answer:
No solution
Step-by-step explanation:
-y = -1
-51 - 3y = -15
-3y = -15 + 51
-3y = 36
y = -12
y = 1
y = -12
No solution
Help
Identify the equation that represents a quadratic relationship
y =4x^2
y =4x^4
y =4x^3
y =4
The equation that represents a quadratic relationship is y = 4x^2. Option A.
A quadratic relationship is a mathematical relationship where the variable y is a function of the variable x raised to the power of 2. In other words, it is an equation in which the highest power of the variable is 2.
Let's analyze the given equations:
1. y = 4x^2: This equation represents a quadratic relationship because the variable x is raised to the power of 2. The term 4x^2 indicates that the relationship between x and y is quadratic.
2. y = 4x^4: This equation represents a quartic relationship, not a quadratic relationship. The variable x is raised to the power of 4, which indicates a higher degree relationship than quadratic.
3. y = 4x^3: This equation represents a cubic relationship, not a quadratic relationship. The variable x is raised to the power of 3, indicating a higher degree relationship.
4. y = 4: This equation represents a linear relationship, not a quadratic relationship. It is a constant equation where y is always equal to 4, regardless of the value of x. In a quadratic relationship, the variable x should have a power of 2. Option A.
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Find the product: 5(2x2 + 4x + 3)
Answer:
10x^2+20x+15
Step-by-step explanation:
5(2x^2+4x+3)
u distributed it and u get
10x^2+20x+15
Answer: I am pretty sure it is 115+20x
Step-by-step explanation: You have to do distributive Property
10 times 10+ 20x+15
100+20x+15
115+20x
PLEASE HELP WILL MARK BRAINLIEST ANSWER!!
Step-by-step explanation:
translation = changing the origin of the graph
moving the graph left right up or down
first image is the normal graph y=x
second image is the graph translated up by 4 to y=x+4
dilation = change in how narrow or spread out the graph gets
compare first image to third
third image is y=3x
see how it become a steeper slope
rotation = moving around the centre point
i think u know that
so with the change to y and x being 17x and 17y
the answer is
What is a reasonable amount of miles on a used car that you are planning on purchasing?
A. 100,000
B. 80,000
C. 30,000
D. 130,000
Answer:
D.
Step-by-step explanation:
It's the most miles.
Mount Everest is over 2.9 × 10 4 feet tall. In standard form, that is
Answer:
29000 feet
Step-by-step explanation:
Move decimal points 4 places to the right.
i will give brainly if you find x (no silly answers pls)
Answer:
Maybe 3 because 2*9=x+15
So 18=x+15
So x=3
Am not sure
Answer:
3 because 2*9=x+15
So 18=x+15
So x=3
Step-by-step explanation:
Bob packs 13 pounds of nuts in bags. Each bag has 1/4 pound of nuts. Which equation shows the number of bags Bob packed with all the nuts?
13 × 1/4 = 52
13 ÷ 1/4 = 52
13 ÷ 1/4 = 14/4
13 × 1/4 = 13/4
The equation for the bag with all nuts is 13 / ( 1/4 ) = 52 bags
Given data ,
Bob packs 13 pounds of nuts in bags.
Each bag has 1/4 pound of nuts
Now , the number of bags = pounds of nuts / pounds of nuts in each bag
A = 13 / 1/4
On simplifying the equation , we get
A = 52 bags
Hence , the number of bags is 52 bags
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I know this might be hard but I'm struggling hope you can help..!
Answer:
4. -35. -1/26. 1/27. 48. 09. undefinedStep-by-step explanation:
Use of slope formula:
m = (y2 - y1)/(x2 - x1)4.
m = (7 - 4)/(1 - 2) = 3/-1 = -35.
m = (-2 - 0)/(3 - (-1)) = -2/4 = -1/26.
m = (5 - 3)/(5 - 1) = 2/4 = 1/27.
m = (3 - 0)/(3.5 - 4.25) = 3/0.75 = 48.
m = (3/4 - 3/4)/(5 - 2) = 09.
m = (2 - 3)/(7.5 - 7.5) = -1/0 = undefined7).
2. Hot Text: For each graph, choose the correct sentence to describe the graph.
The graph represents a proportional relationship.
The graph does not represent a proportional relationship.
a. The graph represents a proportional relationship.
b. The graph does not represent a proportional relationship.
c. The graph does not represent a proportional relationship.
d. The graph represents a proportional relationship.
What is a proportional relationship?A proportional relationship is a relationship in which a constant ratio between the output variable and the input variable exists.
The equation that defines the proportional relationship is a linear function with slope k and intercept zero presented as follows:
y = kx.
Hence graphs a and d represent proportional relationship, as they have intercepts at the origin.
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How would you do this problem on a ti-84 calculator? Or could you do this by hand and get the answer.
The answer is supposed to be -64/17, but I don't know how to get that answer.
Step-by-step explanation:
(R○R)(x) = (5 - 2((5 - 2x)/x))/((5 - 2x)/x)
we simply put the original R function into the places of x.
so,
(R○R)(-6) = (5 - 2((5 - 2×-6)/-6))/((5 - 2×-6)/-6) =
= (5 - 2((5 + 12)/-6))/((5 + 12)/-6) =
= (5 - 2×17/-6)/(17/-6) =
= (5 + 17/3)/(17/-6) = (15/3 + 17/3)/(17/-6) =
= 32/3 / 17/-6 = -6×32 / (3×17) =
= -2×32 / 17 = -64/17
Answer:
-64/17
Step-by-step explanation:
Same person here who answered previous question.
(R · R)(-6)
This basically means R(R(-6))
Now, R(-6) = (5 + 12)/-6 = -17/6
Put that value again, in (5 - 2x)/x = (5 + 34/6)/(-17/6)
= (64/6)/(-17/6) = -64/17
So, the answer is correct.
If you have any questions, please leave a comment.
Otherwise, cheers
Write an equation of the line using function notation.
Slope 0; through (−3,−2)
The equation of the line is f(x)=
The equation of the line having slope 0 and passing through (-3,-2) is f(x) = -2.
Any horizontal line has the same y-value for every point on the line. We are given that the line passes through the point (-3,-2). This means that f(-3) = -2, since the y-value of the point (-3,-2) corresponds to the value of the function at x = -3.
This is because no matter what x-value we plug into the function, the output (y-value) will always be -2. Therefore, the equation of the line in function notation is f(x) = -2.
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Which of the following is
closest to 13/16
Answer:
You don't have any listed but 0.8125 is 13/16 decimal form. 12/16, 13/13, 13/14 are all really close numbers to 13/16.
A recipe says that 3½ cup of
flour is needed to make 1
cake. How much flour is need
to make 6 cakes?
Answer:
21 cups of flour
Step-by-step explanation:
3.5 * 6 = 21
How many times larger is the volume of Figure B than Figure A?
Answer:
k
Step-by-step explanation:
what are the first five terms of the recursive sequence
Answer: Choice D
9, 30, 93, 282, 849
============================================================
Explanation:
The notation \(a_1 = 9\) tells us that the first term is 9
The notation \(a_n = 3*(a_{n-1})+3\) says that we multiply the (n-1)st term by 3, then add on 3 to get the nth term \(a_n\)
So if we wanted the second term for instance, then we'd say
\(a_n = 3*(a_{n-1})+3\\\\a_2 = 3*(a_{2-1})+3\\\\a_2 = 3*(a_{1})+3\\\\a_2 = 3*(9)+3\\\\a_2 = 27+3\\\\a_2 = 30\\\\\)
If we want the third term, then,
\(a_n = 3*(a_{n-1})+3\\\\a_3 = 3*(a_{3-1})+3\\\\a_3 = 3*(a_{2})+3\\\\a_3 = 3*(30)+3\\\\a_3 = 90+3\\\\a_3 = 93\\\\\)
and so on.
The terms so far are: 9, 30, 93
You should find the fourth and fifth terms are 282 and 849 respectively if you keep this pattern going.
Therefore, the answer is choice D
Simplify the expression 5x2+6x+4+x2+x
.
Thank You!
The simplified solution of the expression 5x²+6x+4+x²+x is 6x²+7x+4.
The given expression is 5x²+6x+4+x²+x
Simplifying the given expression
5x²+6x+4+x²+x
Firstly, put the similar terms together
5x²+x²+6x+x+4
Adding the similar terms
6x²+7x+4
∵ The expression cannot be solved further, 6x²+7x+4 is the final solution.
Therefore, the simplified solution of the expression 5x²+6x+4+x²+x is 6x²+7x+4.
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Jill runs 3/4 of a mile, and
Amy runs 2/3 of a mile.
How far did Jill and Amy
run combined?
Answer:
1 1/5 mile
Step-by-step explanation:
3/4 + 2/3 = 9/12 + 8/12 = 17/12 = 1 1/5
Use >,<, or = to solve
the inequality below.
4/5 1/2
Answer:
4/5 > 1/2
Step-by-step explanation:
4/5 1/2
\/
4/5 -> 8/10
1/2 -> 5/10
\/
8/10 > 5/10
\/
4/5 > 1/2
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Answer:
4/5>1/2
Step-by-step explanation:
To get the answer, we first convert each fraction into decimal numbers. We do this by dividing the numerator by the denominator for each fraction as illustrated below:
4/5 = 0.8
1/2 = 0.5
Then, we compare the two decimal numbers to get the answer.
0.8 is greater than 0.5.
Therefore, 4/5 is greater than 1/2
Superman and the Hulk are playing baseball. The Hulk throws a fast ball to Superman and it is hit straight up in the air. Hulk is standing 60.5 feet from Superman when the ball is hit. Assuming the ball never comes back down ( rememberSuperman just hit it), write a model that represents the angle of elevation (from Hulk's perspective) as a function of the height of the ball.
The tangent of the angle of elevation, is the ratio of the height of the ball
to the distance between the Hulk and Superman.
Response:
\(The \ angle \ of \ elevation, \ \theta,\ as \ a \ function \ of \ height, \ h \ is \ \underline{ \theta = tan^{-1}\left( \dfrac{h}{60.5} \right)}\)
What type of function can be used to model the angle of elevation of the ball?The given parameters are;
The distance the Hulk throws the fastball to Superman = 60.5 feet
The direction Superman hits the ball = Straight up
Required:
The angle of elevation of the ball from the Hulk's perspective.
Solution:
Let, h, represent the height of the ball, and let, θ, represent the angle of
elevation of the ball, from trigonometric ratios, we have;
\(tan(\theta) = \mathbf{\dfrac{Opposite \ side \ to \ angle \ \theta }{Adjacent \ side \ to \ angle \ \theta}}\)
The side opposite to the angle θ from the Hulk's perspective is the
height, h, of the ball = h
The adjacent side = Distance between Hulk and Superman = 60.5 feet
Therefore;
\(tan(\theta) = \mathbf{ \dfrac{h}{60.5}}\)
Which gives;
\(The \ angle \ of \ elevation, \ \underline{ \theta = tan^{-1}\left( \dfrac{h}{60.5} \right)}\)Learn more about trigonometric ratios here:
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Question is in the image
Answer:
0.16
Step-by-step explanation:
6,357 + 18,219 + 15,205 = 39,781
6,357 ÷ 39,781 = 0.1597
rounded to nearest hundredth its 0.16
A biologist measured the lengths of hundreds of cuckoo bird eggs. Use the relative frequency distribution below to answer the questions that follow.
A. What percent of the group of eggs was less than 24.75 mm long?
B. What is the probability that one of the eggs selected at random was at least 21.75 mm long but less than 24.75 mm long?
Using the frequency table, it is found that:
a) 99.2% of the group of eggs were less than 24.75 mm long.
b) 0.471 = 47.1% probability that one of the eggs selected at random was at least 21.75 mm long but less than 24.75 mm long.
The frequency table gives the percentage of cuckoo bird eggs with the associated lengths.
For example, 0.8% of eggs have lengths between 18.75 and 19.75 millimetres.Item a:
0.8% of eggs were more than 24.75 mm.Thus, 100 - 0.8 = 99.2% were less than 24.75 mm long.
Item b:
37.9% between 21.75 and 22.75 mm.28.5% between 22.75 and 23.75 mm.10.7% between 23.75 and 24.75 mm.In total:
\(37.9 + 28.5 + 10.7 = 47.1\)
47.1% of the eggs are in these lengths, thus, 0.471 = 47.1% probability that one of the eggs selected at random was at least 21.75 mm long but less than 24.75 mm long.
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Prove that "If α is an ordinal and β ∈ α, then β is an ordinal" ?
If α is an ordinal and β ∈ α, then β satisfies all three properties of an ordinal. Therefore, β is also an ordinal.
To prove the statement "If α is an ordinal and β ∈ α, then β is an ordinal," we need to demonstrate that if α is an ordinal and β is an element of α, then β satisfies the three properties of an ordinal:
Well-Ordering: Every element of β is strictly well-ordered by the membership relation ∈. This property holds because α is an ordinal and satisfies the well-ordering property, and β being an element of α inherits this property.
Transitivity: For any two elements γ and δ in β, if γ ∈ δ and δ ∈ β, then γ ∈ β. Since β is an element of α and α is transitive, the transitivity property carries over to β.
Trichotomy: For any two elements γ and δ in β, either γ ∈ δ, δ ∈ γ, or γ = δ. Again, this property is inherited from α, as β is an element of α.
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Please help urgent thank you math helpers
You would need approximately 225 mL of the 70% alcohol mixture to obtain the desired 55% solution.
To find out how much of the 70% alcohol mixture you need to obtain a 55% solution, we can set up an equation based on the principle of mixing concentrations.
Let's assume you need "x" mL of the 70% alcohol mixture.
First, we'll determine the amount of alcohol in the 10% alcohol mixture:
Alcohol in 10% mixture = 10% of 75 mL
= (10/100) × 75 mL
= 7.5 mL
Next, we'll determine the total amount of alcohol in the desired 55% solution:
Alcohol in 55% solution = 55% of (75 mL + x mL)
We want the amount of alcohol in the 55% solution to be equal to the sum of the alcohol in the 10% mixture and the alcohol in the x mL of the 70% mixture.
Therefore, we can set up the equation:
Alcohol in 55% solution = Alcohol in 10% mixture + Alcohol in 70% mixture
55% of (75 mL + x mL) = 7.5 mL + 0.7x mL
Now, let's solve for "x" to find the amount of the 70% alcohol mixture needed:
0.55 × (75 mL + x mL) = 7.5 mL + 0.7x mL
41.25 mL + 0.55x mL = 7.5 mL + 0.7x mL
0.55x mL - 0.7x mL = 7.5 mL - 41.25 mL
-0.15x mL = -33.75 mL
x mL = (-33.75 mL) / (-0.15)
x mL ≈ 225 mL
Therefore, you would need approximately 225 mL of the 70% alcohol mixture to obtain the desired 55% solution.
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Helppp pleasee!!
In your own words, write a definition for sales tax.
2) If you buy a meal from a restaurant that costs $15.00, and the tax is 7%, how much do you pay in taxes?
- Explain in detail, the steps you would take to solve this sales tax question.
The value of the tax for the meal is $1.05.
What Is a Sales Tax?The government levies a consumption tax known as a sales tax on the purchase of goods and services. At the point of sale, a standard sales tax is imposed, collected by the shop, and paid to the government.
Depending on the regulations in that country, a business may be responsible for sales taxes in that jurisdiction if it has a presence there, which can be a physical site, an employee, or an associate.
Given the cost of the meal = $15.00
and rate of tax = 7%
converting the rate of tax into decimal form,
rate of tax = 7% = 7/100
rate of tax = 0.07
amount of tax = cost x rate of tax
amount of tax = 15 x 0.07
amount of tax = $1.05
Hence the amount of tax is $1.05.
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225 ft2
81 ft2
Three squares are joined below at their vertices to form a right triangle. Find X, the side
length of the square marked in the diagram.
12 feet
144 feet
48 feet
17.5 feet
Answer:
12 ft
Step-by-step explanation:
we know the areas of the 2 top squares.
the area of a square is simply the square of its side length.
=>
81 ft² means side length is 9 ft.
225 ft² means side length is 15 ft.
these are also 2 of the sides of the right triangle.
the third side we get by using Pythagoras :
c² = a² + b²
with c being the side opposite of the 90 degree angle.
so,
225 = 81 + x²
as x is also the third side of the triangle.
=> 144 = x²
x = 12 ft
1 of 3
F
Find the equation of the line that passes through (1,3) and is perpendicular to
y = 2x + 3.
Leave your answer in the form y = mx + c
Answer:
y = -1/2x + 3.5
Step-by-step explanation:
The gradients of perpendicular lines multiply to make -1. The gradient of the line given is 2, so 2 multiplied by something gives us -1. 2 × -1/2 = -1. The gradient of the perpendicular line is -1/2
y = -1/2x + c
Now we can substitute x = 1 and y = 3 into the equation:
3 = -1/2(1) + c3 = -1/2 + cc = 3 + 1/2c = 3 1/2 or 3.5 or 7/2The equation of the line is y = -1/2x + 3.5
Hope this helps!
a shopkeeper buys 25 cricket balls at a total cost of $150
a) He sells them for $8 each. What was his profit percentage?
b) He sells them for $5. What is his percentage loss?
a)
150 ÷ 25 = 6
meaning each ball cost him 6 bucks, and then he sells the for 8 or namely 2 bucks extra.
if we take 6 to be the 100%, what is 2 off of it percentage?
\(\begin{array}{ccll} amount&\%\\ \cline{1-2} 6&100\\ 2&x \end{array}\implies \cfrac{6}{2}=\cfrac{100}{x}\implies 3=\cfrac{100}{x} \\\\\\ 3x=100\implies x=\cfrac{100}{3}\implies x=33.\overline{3}\)
b)
well, we know each cost him 6 bucks, if he sells them for 5, he's losing 1 buck, so if take 6 to be the 100, what is 1 off of it in percentage?
\(\begin{array}{ccll} amount&\%\\ \cline{1-2} 6&100\\ 1&x \end{array}\implies \cfrac{6}{1}=\cfrac{100}{x}\implies 6=\cfrac{100}{x} \\\\\\ 6x=100\implies x=\cfrac{100}{6}\implies x=16.\overline{6}\)
a) He sells them for $8 each his profit percentage is (133.33 - 100)%
= 33.33 %.
b) He sells them for $5 each his percentage loss is (100 - 83.33)%
= 16.66%
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, A shopkeeper buys 25 cricket balls at a total cost of $150.
∴ The selling price of 1 cricket ball is = (150/25) = $6.
Now, He sells them for $8 each so his profit percentage is,
= (8/6)×100%.
= 33.33 %
If he sells them for $5 his percentage loss is,
= (5/6)×100%.
= 16.66%.
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9(2n+1) help please brooooooo
Answer:
18n + 9
Step-by-step explanation:
Distribute 9 into the expression.
9*2n = 18n
9*1 = 9
18n + 9
For each image, determine if you have enough information to find the missing lengths. If so, find them. If not, explain why. 1. DE is parallel to AC. Find the lengths of DE || AC AC and AD. B 2 D t 5 E 6
The length of AC is 12.5 and the length of AD is 3.
What are triangles?A triangle is a three-sided polygon because it has three edges and three vertices. The most important attribute of a triangle is the sum of its internal angles to 180 degrees
Given triangle ABC,
and D is a point on AB and E is a point on AC,
and forms a triangle ADE,
and DE is parallel to AC,
taking ΔABC and ΔBDE
∠B = ∠B (common angle)
because DE is parallel to AC, so corresponding angles are equal,
so ∠A = ∠D
and ∠C = ∠E
ΔABC ≈ ΔBDE (triangles are similar)
since both triangles are similar the ratio of their corresponding sides is equal,
AB/BD = AC/DE = BC/BE
given BD = 2, BE = 4, DE = 5 and EC = 6
BC = EC + BE = 4 + 6
BC = 10
AC/DE = BC/BE
AC = 5(10/4)
AC = 12.5
and AB/BD = BC/BE
AB = 2(10/4)
AB = 5
AD = AB - BD
AD = 5 - 2
AD = 3
Hence AC = 12.5 and AD = 3.
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The figure is in image.