Answer:30,000
Step-by-step explanation:
5 or more is greater 4 or you give it a rest
pls do 12-17!! im struggling. will give brainliest + 62 points
Answers (all in complete sentence):
12. A linear function because it goes at a constant rate of change.
13. A linear function because it goes at a constant rate of change.
14. A nonlinear function because it doesn’t go at a constant rate of change.
15. a. The missing y-value is 4.20 that makes the table represent a linear function.
b. y=1.4x is a linear funcation that represents the cost y of x pounds of seeds.
16. The table represents a nonlinear function because the change in the wavelength, x divided by the change in the frequency, y is not constant. Also, when the points from the table are plotted on a graph, they do not form a straight line.
17. The table represents a nonlinear function because the change in the height, x divided by the change in the steps, y is not constant. Also, when the points from the table are plotted on a graph, they do not form a straight line.
Hope this helps and answers your questions :)
Find the surface area of the triangular prism.
A drawing of a triangular prism. The base is a right triangle with a base of 4 centimeters, a height 3 centimeters, and a third side of 5 centimeters. The height of the prism is 10 centimeters.
The surface area is ___
square centimeters.
The surface area of the \(132cm^2.\)
What is the Total Surface Area of a Triangular Prism?The surface area of a triangular prism is also referred to as its total surface area. The total surface area of a triangular prism is the sum of the areas of all the faces of the prism. A triangular prism has three rectangular faces and two triangular faces. The rectangular faces are said to be the lateral faces, while the triangular faces are called bases. If the bases of a triangular prism are placed horizontally, they are referred to as the top and the bottom (faces) of the prism, respectively.
Surface area of given triangular shaped prism
= 2 ×area of right angle triangle + area of3 rectangles
= 2(1/2 ab)+(ah+bh+ch)
=(3 cmx4 cm) +(3cm×10 cm +4cm×10cm+5cm×10cm)
=\(12 cm^2 +30cm^2+40cm^2+50cm^2=132cm^2\)
Volume of prism = Area of base × height
=> V=( 1/2 ab) × height= 1/2 × 3 cm×4cm× 10 cm =\(60 cm^3\)
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Match to the correct one
Answer:
1. b_ 2. a_ 3. c_ 4. d
Step-by-step explanation:
1 is b mainly because it is marked that way. Your picture doesn't show all of d so not really sure about it, but I used the process of elimination. Picture c is side angle side b/c of the vertical angles.
1. 15/25=45/x
2. 6/25=x/30
3. 2.5/6=x/9
4. 6/7=x/40
1)
\(\frac{15}{25} = \frac{45}{x}\\15x = 45 \cdot 25\\15x = 1125\\x = 75\)
2)
\(\frac{6}{25} = \frac{x}{30} \\25x = 30 \cdot 6\\25x = 180\\x = \frac{36}{5}\)
3)
\(\frac{2.5}{6} = \frac{x}{9}\\6x = 2.5 \cdot 9\\6x = 22.5\\x = 3.75\)
4)
\(\frac{6}{7} = \frac{x}{40}\\7x = 40 \cdot 6\\7x = 240\\x = \frac{240}{7}\)
The length of a rectangle is 10 times its width. If the area of the rectangle is 52 yd2, find its approximate width.
Answer: approximate width= 5.2 yd
Step-by-step explanation:
30% of ________ peaches is 6 peaches. * how do you get this
Answer:
20
Step-by-step explanation:
30% of 'something' equals 6.
Translated into math, that is
(.30)N = 6
N = 6/0.30
N = 20
whats in between -2 and 3
What is the slope of a line perpendicular to the line whose equation is x + 2y = 14.
Fully reduce your answer.
Answer:
1/2
Step-by-step explanation:
x+2y=14
2y=-x+14
y=-1/2x+7
slope is -1/2
find the opposite of -1/2 for perpendicular slope
therefore your answer is POSITIVE 1/2
The slope of a line perpendicular to the line whose equation is x + 2y = 14 is 1/2.
What is the slope?The slope is the ratio of the vertical changes to the horizontal changes between two points of the line.
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
where (x₁, y₁) and (x₂, y₂) are the two points that you are trying to find the slope between.
We are given that line perpendicular to the line whose equation is x + 2y = 14.
Therefore,
x+2y=14
Solving for standard form;
2y = -x + 14
y = -1/2x + 7
Then the slope is -1/2
Since the opposite of -1/2 for perpendicular slope
therefore, the slope of a line perpendicular to the line whose equation is x + 2y = 14 is 1/2.
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3. For his birthday, Fernando purchased
5, 2-liter sodas. There is approximately 1
quart in 0.95 liters. How many quarts of
sodas are there?
There are 10.53 quarts in 5, 2-liter sodas Fernando purchased.
If Fernando purchased 5 2-liter sodas, this means that he has 10 liters in total of sodas with him.
If there exists 1 quart in 0.95 liters, then there will exist, say, x quarts in 10 liters. We can create an equation from this so that...
1 quart = 0.95 litersx quarts = 10 litersIf you cross multiply, you have that
1 quart * 10 liters = x quarts * 0.95 liters
x quarts = (1 quart * 10 liters) / 0.95 liters
x quarts = 10/0.95
x quarts = 10.53
This means that there are 10.53 quarts in 10 liters of soda that Fernando purchased.
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Solve the differential.f"(x)=3xGiven f'(0)=3 and f(1)=4
Given:
\(f^{^{\prime}^{\prime}}(x)\text{ =3x}\)Solving the differential equation:
\(\begin{gathered} \int f^{\prime}^{\prime}(x)\text{ dx= }\int3x\text{ dx} \\ f^{\prime}(x)\text{ = 3}\frac{x^2}{2}+c_1 \end{gathered}\)Applying the initial value f'(0) = 3
\(f^{\prime}(x)\text{ = }\frac{3}{2}x^2\text{ + 3}\)Integrating further:
\(\begin{gathered} \int f^{\prime}(x)dx\text{ = }\int\frac{3}{2}x^2\text{ dx + 3}\int dx \\ f(x)\text{ = }\frac{3}{2}\frac{x^3}{3}\text{ + 3x + c} \\ f(x)\text{ = }\frac{1}{2}x^3\text{ + 3x + c} \end{gathered}\)Applying the initial value f(1) =4
\(\begin{gathered} 4\text{ = }\frac{1}{2}(1)^3\text{ + 3\lparen1\rparen + c} \\ 4\text{ = }\frac{1}{2}\text{ + 3 + c} \\ Solving\text{ for c} \\ c\text{ = 4-}\frac{1}{2}\text{ -3} \\ c\text{ = }\frac{8-1-6}{2} \\ c=\text{ }\frac{1}{2} \end{gathered}\)Hence, the solution is:
\(f(x)\text{ = }\frac{1}{2}x^3\text{ + 3x + }\frac{1}{2}\)Which number is the smallest? 4.4 ⋅ 10−5, 3.99 ⋅ 10−6, 2.6 ⋅ 102, 1.85 ⋅ 103
Answer:
3.99 10-6
Step-by-step explanation:
This is simply the answer because if you multiply them all out this equation is the smallest number
Answer:
3.99*10^-6
Step-by-step explanation:
Anything taken to a negative power is going to be smaller than the original number because x^-y=1/(x^y). So since 3.99*10^-6 is smaller than 4.4*10^-5, the former is the answer.
The counting number just before C5F sixteen is
the counting number just before C5F16 is 3,072.
Jane and johnny are running a race. Jane's speed is 1/4 that of Johnny's.
What is Johnny's speed compared to Jane?
Explain.
25%
50%
150%
400%
The right response is 400%. In other words, Johnny moves at four times the pace of Jane.
We must compare the speeds of Johnny and Jane in relation to one another in order to get their ratio. According to the issue, Jane moves at a pace that is 1/4 that of Johnny. In other words, Jane moves at a speed that is one-fourth that of Johnny.
We may compare the speeds as a fraction to figure out the ratio:
Johnny's speed divided by Jane's speed equals 4/1.
This indicates that Johnny is moving at a speed that is four times that of Jane. We can express Johnny's speed as 400% of Jane's speed in percentage terms.
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Can anyone help please?
Answer:
h(t) = -16t(t-6)
h(2) = 128
Step-by-step explanation:
h(t) = -16t² + 96t
h(t) = -16t(t-6)
t = 3
h(2) = -16(2)(2 - 6)
h(2) = 128
A 14-foot ladder is set up 4 feet from the base of a building. How far up the building does the ladder reach? Round your answer to the nearest tenth of a foot.
A 13.4 feet
B 14.6 feet
C 16.5 feet
D 18.0 feet
Answer:
A
Step-by-step explanation:
help meeeeeee!!!!!!!!!
y=x^2-2x+7
i need help finding the axis of symmetry,the domain, the y-intercept and x intercept
The axis of symmetry is at x = 1, the domain is (-∞, +∞), the y-intercept c is at 7 and x intercept is not applying .
Explain about the features of parabolic function?A parabolic function is one that satisfies the formula f(x) = ax2 + bx + c and, when represented graphically in two dimensions, has the shape of a parabola. Any quadratic equation with just a second degree in x is the equation for a parabolic function.
The following characteristics define a basic parabola:
The y-axis, a symmetry axis, is where it is symmetric.At the origin, marking the minimal turning point, y has its minimum value. It is sometimes referred to as the parabola's vertex.The parabola's arms are infinitely long.Thus, from the given graph the value are obtained as:
the axis of symmetry is at x = 1, the domain is (-∞, +∞), the y-intercept c is at 7 and x intercept is not applying .Know more about parabolic function
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one card is drawn from a pack of 52cards each of the 52 cards being equally likely to be drawn. what is the probability that the card drawn is a king?
The probability of drawing a king from a standard deck of 52 cards is 1/13.
In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.
To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).
The total number of possible outcomes is 52 because there are 52 cards in the deck.
The favorable outcomes, in this case, are the four kings.
Therefore, the probability of drawing a king is given by:
Probability = (Number of favorable outcomes) / (Number of possible outcomes)
= 4 / 52
= 1 / 13
Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.
This means that out of every 13 cards drawn, on average, one of them will be a king.
It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.
Each draw is independent, and the probability of drawing a king is constant.
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Use the symbols <,> or = to compare the decimals 56.72 and 5.672
Answer:
>
Step-by-step explanation:
its because 56.72 is greater than 5.672
Answer:
56.72 > 5.672
Step-by-step explanation:
> means greater than
< means less than
so 56.72 is greater than (>) 5.672
5. How can you use the Distributive Propery
factor the expression 6x + 15?
Answer:
3(2x+5)
Step-by-step explanation:
Since the GCF of 6 and 15 is 3, you should take out the 3 from both parts of the equation.
the function f(x)=(4x-8)^2 is the image of g(x)=x^2 after a set of transformations have occurred. which of the following describes the transformation that occurred to g(x)
The transformations that occurred to g(x) are horizontal stretch by a factor of 4 and a down translation by 4 units
How to describe the transformation that occurred to g(x)?The equation of the functions are given as
f(x)= (4x - 8)^2
g(x) = x^2
Start by stretching the function g(x) horizontally by a scale factor of 4
This is represented as
g'(x) = g(4x)
So, we have
g(4x) = (4x)^2
This gives
g'(x) = (4x)^2
Next, we translate the function down by 8 units
This is represented as
f(x) = g'(x - 8)
So, we have
f(x) = (4x - 8)^2
Hence, the transformations that occurred to g(x) are horizontal stretch by a factor of 4 and a down translation by 4 units
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Select the correct answer from each drop-down menu.
Three students used factoring to solve a quadratic equation.
12 + 171 + 72 = 12
Jordan's Solution
Keith's Solution
Randall's Solution
12 +177 + 72 = 12
(* +8)(x + 9) = 12
12 + 173 + 72 = 12
12 +177 +60 = 0
(1 +5)(+12) = 0
12 +177 + 72 = 12
12 + 171 = -60
*(x +17) = -60
= -60
1 +8 = 12
and
I +9 = 12
+5 = 0
and
1 +12 = 0
and
1 +17
-60
The equation was solved correctly by
. The solutions of the equation are
Answer:
Keith solve the equation correctly
Step-by-step explanation:
x² + 17x + 72 = 12 ( subtract 12 from both sides )
x² + 17x + 60 = 0 ← in standard form
Consider the factors of the constant term (+ 60) which sum to give the coefficient of the x- term (+ 17)
The factors are + 12 and + 5 , since
12 × 5 = 60 and 12 + 5 = 17 , then
(x + 12)(x + 5) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 12 = 0 ⇒ x = - 12
x + 5 = 0 ⇒ x = - 5
The solutions of the equation are x = - 12, x = - 5
What’s the answer? Worth 20 pts!!
The correct statement regarding whether we can prove that the lines are parallel is:
Yes. Alternate Interior Angles Converse.
What are alternate interior angles?Alternate interior angles happen when there are two parallel lines cut by a transversal lines.
The two alternate exterior angles are positioned on the inside of the two parallel lines, and on opposite sides of the transversal line, and they are congruent.
The red sectors represents that the angles are alternate interior angles for the problem, hence the correct option is given as follows:
Yes. Alternate Interior Angles Converse.
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what’s the quotient of -15b^5+18b^3/3b
This is the quotient of (-15b^5 + 18b^3) divided by 3b. The expression simplifies to -5b^4 + 6b^2.
To find the quotient of the expression (-15b^5 + 18b^3) divided by 3b, we can perform the division by simplifying each term separately.
First, let's divide -15b^5 by 3b:
(-15b^5) / (3b) = -15/3 * b^5/b = -5 * b^(5-1) = -5b^4
Next, let's divide 18b^3 by 3b:
(18b^3) / (3b) = 18/3 * b^3/b = 6 * b^(3-1) = 6b^2
Now, we have simplified each term individually. The resulting expression is:
-5b^4 + 6b^2
This is the quotient of (-15b^5 + 18b^3) divided by 3b. The expression simplifies to -5b^4 + 6b^2.
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PLEASE HELP
speed and velocity
due by 12pm
i will give a lot of points and brainliest
show work!
Answer:
My teacher doesnt even know this
Given the graph of the function f(x) shown below, find the average rate of change of the function f(x) on the interval [5,15].
Step-by-step Expression;
- Given; The function f(x) on the interval [ 5,15]
- To find the average rate of change of the function f(x)=?
x = 5 , y = 15,
I can't solve it anymore,please can you solving?
What expression is equal to 7x(2+3)
Answer:
14x+21x if thats an option
Step-by-step explanation:
where are the answer choices?
Simplify 6(4x - 3) show work plz
Answer:
24x-18
Step-by-step explanation:
To simplify this we will need to use the distributive property
we can start with
6*4x=24x
then we can do
6*3=18
and since their is a negative sign in the middle that is what we do, so it will be
24x-18
Can I please have brainliest :)
\(\huge\text{Hey there!}\)
\(\large\text{Simplify 6(4x - 3)}\)
\(\large\text{DISTRIBUTE}\downarrow\)
\(\large\text{6(4x - 3)}\)
\(\large\text{6(4x) + 6(-3)}\)
\(\large\text{6(4x) = 24x}\)
\(\large\text{6(-3) = -18}\)
\(\large\text{\bf = 24x - 18}\)
\(\boxed{\boxed{\large\text{Answer: \bf \huge 24x - 18 }}}\huge\checkmark\)
\(\text{Good luck on your assignment and enjoy your day!}\)
~\(\frak{Amphitrite1040:)}\)
What is the range of h
The Bainters want to know how much they would pay on their
loan each year as well as how much they would pay on their loan
after 5 years, 10 years, 15 years, and 30 years. They also want to
determine how much they would pay in interest on their loan
when they repay the entire loan.
What are the amounts?
Your answer should include (remember to show or explain your
calculations)
the total amount paid in loan payments after 1 year
the total amount paid in loan payments after 5 years
the total amount paid in loan payments after 10 years
the total amount paid in loan payments after 15 years
the total amount paid in loan payments after 30 years
the total amount of interest paid on the loan when it is
repaid
The total amounts paid are displayed in the image below:
What is an Interest Rate?The amount of interest due each period expressed as a percentage of the amount lent, deposited, or borrowed is known as an interest rate.
The total interest on a loaned or borrowed sum is determined by the principal amount, the interest rate, the frequency of compounding, and the period of time the loan, deposit, or borrowing took place.
How to calculate interest rates
Using S.I:
Simple Interest: The formula for simple interest is I = P x R x T, where I is the interest, P is the principal amount, R is the rate of interest, and T is the time period.
For example, if you borrow $1,000 at a simple interest rate of 5% per year for 3 years, the interest would be calculated as follows: I = $1,000 x 5% x 3 = $150.
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