Answer: f(-1)=-13
Step-by-step explanation:
f(0) = -5
f(n) = f(n - 1) + 8
f(0) = f(0 - 1) + 8
-5 =f(-1) + 8
f(-1)=-13
Solve for x.
33 ÷ x = 3
Answer: 99
you do 33x3=99
33/99=3
Step-by-step explanation: hope this helps!!
a video posted on the internet is becoming very popular, and the total number of views is increasing by 30% every hour. if the video currently has 11,882 views, how many views will it have in 3 hours
Answer:26105 rounded
Step-by-step explanation: if not rounded 26104.754
Write an equation for each line. m=0 and the y -intercept is (0,-2) .
The equation of a line with slope = 0 and y-intercept = (0,-2) is: y = -2
What is the equation of a line to the curve?A line's equation has the standard form ax + by + c = 0. Here, the variables are x and y, the coefficients are a and b, and the constant term is c.It is a first-order equation with the variables x and y.The coordinates of the point on the line shown in the coordinate plane are represented by the values of x and y.Now,
Given:
Slope of the given line = 0Coordinates of the y-intercept = (0,-2)To find: Equation of the line
Finding:
Now, we know that the slope-point form method to find the equation of a line, requires only two things: slope of the line and coordinates of the y-intercept.
The equation so given by the method: y = mx + c, where
m = slope of the line
c = y-intercept
On substituting the given values in the above equation, we get:
=> y = 0x - 2, which the required equation of the line.
Hence, The equation of a line with slope = 0 and y-intercept = (0,-2) is: y = -2.
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100 POINTS + MARKING BRAINLEIST
Triangle DEF was rotated 90 degrees about the origin to form congruent triangle LMN. Hence, EF ≅ MN.
What are congruent triangles?Two triangles are said to be congruent if they have the same shape and their corresponding sides are also equal. Therefore, their corresponding angles would also be congruent.
Rotation, reflection and translation produces congruent triangles.
Hence:
Triangle DEF was rotated 90 degrees about the origin to form congruent triangle LMN. Hence, EF ≅ MN.
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Tom delivers papers on a rural route from his car. If he throws a paper from a height of 4 feet, and it lands 15 feet from the car, at what angle of depression did he throw the paper to the nearest degree?
The angle of depression, at which Tom threw the paper is 14.93°
In this question,
Tom throws a paper from a height of 4 feet, and it lands 15 feet from the car.
We need to find the angle of depression, at which he threw the paper.
Consider the following diagram.
Let the θ be the angle of depression, at which he threw the paper.
Consider the tangent of angle θ.
⇒ tan(θ) = 4/15
⇒ θ = [tex]tan^{-1}(\frac{4}{15} )[/tex]
⇒ θ = 14.93°
Therefore, the angle of depression, at which Tom threw the paper is 14.93°
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Are these two like terms or not like terms
NEED HELP ON THIS PLEASE!!!
i think its the last one
Translate the sentence into an inequality.
The difference of twice a number and 5 is less than 30.
Use the variable y for the unknown number.
the inequality is
2y-5<30
Answer:
I think it's 2y - 5 < 30
Step-by-step explanation:
Line MS is perpendicular to line OP. If M(-6,8), O(k+3,-20), P(13,k-2) and S(-2,5) find k
The value of the variable k must equal to - 2 such that the line segment MS is perpendicular to the line segment OP.
What is the value of a variable associated with line segments perpendicular to each other?
According to analytical geometry, two lines are perpendicular to each other if the product of their slopes are equal to - 1. Slopes can be determine by secant line formula:
m₁ = (5 - 8) / [- 2 - (- 6)]
m₁ = - 3 / 4
m₂ = [(k - 2) - (- 20)] / [13 - (k + 3)]
m₂ = (k + 18) / (10 - k)
(- 3 / 4) · [(k + 18) / (10 - k)] = - 1
(- 3 / 4) · (k + 18) = - (10 - k)
- 3 · (k + 18) = - 4 · (10 - k)
- 3 · k - 54 = - 40 + 4 · k
7 · k = - 54 + 40
7 · k = - 14
k = - 2
The value of the variable k must equal to - 2 such that the line segment MS is perpendicular to the line segment OP.
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HABITS
9 of Mind
Make Sense of Problems Explain how using
basic facts can help you find 10 x 20 x 30 x 40 mentally. I need to get my homework done
The result of the multiplication is 24,000.
How to multiply any number with 10?Multiplication is simply repeated addition, and it is a crucial skill to master.
What occurred if we multiply by ten? 4 * 10 equals 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + What does this add up to? It adds up to 40. Take a look at that. We have a 4 and a 0 just at end.While multiplying whole digits by ten, surely add a 0 to a end of the number to get the answer. 5 * 10 equals a 5 with a 0 just at end: 50. 3 * 10 equals 30 (a 3 with such a 0 at the end).For the given multiplication;
= 10 x 20 x 30 x 40
This could be written in the terms of 10.
= 10 x 2 x 10 x 3 x 10 x 4 x 10
Simply count the 10 and put the same number of zero after 1 and multiply remaining.
= 2 x 3 x 4 x 10000
= 24 x 10,000
Now, put the same number of zero after the number 24.
= 240,000
Therefore, the given multiplication is solved using simple mental maths.
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The correct question is -
Explain how using basic facts can help you find 10 x 20 x 30 x 40 mentally.
A shop owner sold 27 books on Friday. This was 9 more than the number of books he sold on Thursday. Identify an equation and its solution that shows the number of books he sold on Thursday.
x − 9 = 27; 36 books
x + 27 = 36; 9 books
x + 9 = 27; 18 books
9x = 27; 3 books
The expression that shows the number of books he sold on Thursday is x + 9 = 27; 18 books
How to determine the equation and the solution?The given parameters are
Friday sales = 27
Friday sales = 9 more than the number of books he sold on Thursday.
Let the number of books he sold on Thursday be x
So, we have
Friday = 9 + x
This gives
27 = 9 + x
Rewrite as
x + 9 = 27
Solve
x = 18
Hence, the expression that shows the number of books he sold on Thursday is x + 9 = 27; 18 books
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Evaluate the quantity one third raised to the second power times one third raised to the zero power end quantity all raised to the second power. one over 81 one over 27 one over 243 one over nine
The required simplified value of the quantity is 1 / 81. Option A is correct.
Given that,
To determine the simplified value of the quantity one-third raised to the second power times one-third raised to the zero power end quantity all raised to the second power.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
According to the question,
= [(1 / 3)² + ( 1 / 3)⁰]²
Simplification,
= (1 / 3)²°²
= (1 / 3)⁴
= 1⁴ / 3⁴
= 1 / 81 (since 3⁴ = 81)
Thus, the required simplified value of the quantity is 1 / 81. Option A is correct.
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Express 0.55555... as a fraction in
simplest form.
Answer:
11/20
Step-by-step explanation:
help, please :) I APPRECIATE IT
of a number is 16. What is the number?
First, write an equation to describe the situation.
Answer: 40
Step-by-step explanation:
ok, so the unknown number is x
2/5(x)=16
multiply by the reciprocal, which is 5/2 to cancel out the 2/5
so your new equation is x=16*5/2
you should get 40
iddddkkkkk pleasse help
The statement which is given in option (b) is correct. Further, 25 glasses can be filled out from the 2 containers of fruit juice each held 64 ounces.
Given that, 2(64)-5g = 3 and we have to conclude the best situation from the four options given which satisfy this equation.
2(64)-5g = 3 means, the result of taking out 5 times g from the product of 2 and 64 equals to 3 in the end.
So, out of the four statement given option (b) shows the current statement i.e., Daniel had 2 containers of fruit juice. Each container held 64 ounces. How many ounces did Daniel pour in each glass, g, if he had 3 ounces left when he finished pouring?
Therefore, option (b) is correct.
Let's proceed to solve this question further, we get
The number of glasses g will be simply equal to
2(64)-5g = 3
128-5g = 3
128-3 = 5g
125 = 5g
125/5 = g
25 = g
So, There will be 25 glasses can be filled out from the 2 containers of fruit juice each held 64 ounces.
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HELP!!
Whats 2 to the power of 3 x 2 to the power of 5
Answer: 256
how do i get to it??
Answer:
(2x2x2)*(2x2x2x2x2) so 8x32 = 256
Step-by-step explanation:
Answer: Simplify {2}^{3}2
3
to 88.
8x\times {2}^{5}
8x×2
5
2 Simplify {2}^{5}2
5
to 3232.
8x\times 32
8x×32
3 Simplify.
256x
Step-by-step explanation: hope this helps!!!!
8x + 5 = 29; x = 3
how does that work?
Answer:
You substitute the x with the number.
8(3)+5=29 so 8*3 is 24 + 5 is 29
Step-by-step explanation:
Divide. State any restrictions on the variable. 3x-6/12 x-24 ÷ x²5 x+6 / 3 x² - 12
The division of given rational expression [tex]\frac{3x-6}{12x-24}\div \frac{x^2+5x+6}{3x^{2} -12}[/tex] is [tex]\frac{3(x-2)}{4(x+3)}[/tex] provided x ≠ -3
In this question,
we have been given a complex rational expression [tex]\frac{3x-6}{12x-24}\div \frac{x^2+5x+6}{3x^{2} -12}[/tex]
We need to find the division of given rational expression.
We rewrite given rational expression as,
[tex]\frac{\frac{3x-6}{12x-24}}{\frac{x^2+5x+6}{3x^{2} -12}}\\\\\\= \frac{3x-6}{12x-24}\times \frac{3x^2-12}{x^2+5x+6}[/tex]
First we simplify the quadratic expression x² + 5x + 6
x² + 5x + 6
= x² + 3x + 2x + 6
= x(x + 3) + 2(x + 3)
= (x + 3)(x + 2)
And the simplified form of quadratic expression 3x² - 12 would be,
3x² - 12
= 3(x² - 4)
= 3(x² - 2²)
= 3(x + 2)(x - 2)
So, the given rational expression would be,
[tex]\frac{3x-6}{12x-24}\div \frac{x^2+5x+6}{3x^{2} -12} \\\\\\ = \frac{3x-6}{12x-24}\times \frac{3x^2-12}{x^2+5x+6}\\\\\\=\frac{3(x-2)}{12(x-2)}\times \frac{3(x+2)(x-2)}{(x+3)(x+2)}[/tex]
[tex]\\\\=\frac{3}{12}\times \frac{3(x-2)}{(x+3)}\\\\\\=\frac{3(x-2)}{4(x+3)}~~~~~~~~~~~~~(provided~~x\neq -3)[/tex]
Therefore, the division of given rational expression [tex]\frac{3x-6}{12x-24}\div \frac{x^2+5x+6}{3x^{2} -12}[/tex] is [tex]\frac{3(x-2)}{4(x+3)}[/tex] provided x ≠ -3
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can you use the multiplication property of inequality to solve 8m>-1/10?can you use the division of property to solve -9/2 >3/2?explain your reasoning
a) Yes, by multiplying both sides by 1/8.
b) The inequality is false, thus, there is nothing to solve.
can you use the multiplication property of inequality to solve 8m>-1/10?Yes, you can.
There is a property that says that if you perform the same operation (multiplicating by 1/8 in this case) in both sides, then the truth value of the inequality does not change.
8m > -1/10
So, if we multiply both sides by 1/8, we will get:
8m/m > -1/(10*8)
m > -1/80
The inequality is solved.
can you use the division of property to solve -9/2 >3/2?There is nothing to really solve here, as you can see, the inequality says that a negative number is larger than a positive number, so the inequality is clearly false, and thus, there is nothing to solve.
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A Florida orange juice plant started producing a juice blend, it must be within 0.78 fluid ounces of the advertised 32 fluid ounces on the label. If x represents the volume, write an equation to model the maximum and minimum volumes and determine the minimum volume in a bottle.
|x - 32| = 0.78
|x + 32| = 0.78
|x - 0.78| = 32
|x + 0.78| = 32
The equation to model the maximum and minimum volumes is given by |x - 32| = 0.78
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let x represent the volume of the orange juice in the bottle. it must be within 0.78 fluid ounces of the advertised 32 fluid ounces, hence:
|x - 32| = 0.78
The equation to model the maximum and minimum volumes is given by |x - 32| = 0.78
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3) What is the perimeter of the figure
below?
Please show how you solved it.
Answer:
Multiply 2 by 9, and then 2 by 11, and add it up all together. 18+22=40
Step-by-step explanation:
Write an equation for each line. m=-5 and the y -intercept is (0,-7) .
The equation of the line for given values is y = -5x - 7.
Given a point and a slope, how do you build an equation for a line?When you know the slope of the line to be investigated and the provided point is also the y intercept, you may utilize the slope intercept formula, y = mx + b. (0, b). The y value of the y intercept point is denoted by the symbol b in the formula.
The standard equation of straight line is y = mx + c.
Given m = -5 and y - intercept is -7
So, the equation of the line becomes y = -5x - 7
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Write the specified type of proof.
two-column proof
Given: CB bisects ∠A B D and ∠A C D .
Prove: Δ A B C ≅ ΔD B C
ΔABC ≅ ΔDBC under angle-side-angle (ASA) condition.
What precisely is meant by a triangle's congruency?Two triangles are considered to be congruent if their three corresponding sides are equal and their three corresponding angles are equal in size.These triangles can be decided to move, rotated, flipped, and turned to appear identical.If they are repositioned, they will coincide.Two triangles are congruent if they satisfy all five congruence conditions.They are side-side-side (SSS), side-angle-side (SAS), angle-side-angle (ASA), angle-angle-side (AAS), and right angle-hypotenuse-side (RHS).So,
To prove: ΔABC ≅ ΔDBC
BC = BC = (common:given)∠BCA = BCD = (Given: CB bisects ∠C)∠CBA = CBD = (Given: CB bisects ∠B)Then, ΔABC ≅ ΔDBC under angle-side-angle (ASA) condition.
(Refer the table shown below)
Therefore, ΔABC ≅ ΔDBC under angle-side-angle (ASA) condition.
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Choose the letter of the word or phrase that best completes each statement.
a. ratio
b. proportion
c. means
d. extremes
e. similar
f. scale factor
g. AA Similarity Post.
h. SSS Similarity Theorem
i. SAS Similarity Theorem
j. midsegment
k. dilation
I. enlargement
m . reduction
A(n) ____?____ is a comparison of two quantities using division.
A ratio is a comparison of two quantities using division.
Ratio is defined as the comparison of two quantities. It is the relationship between two quantities, normally expressed as the quotient of one divided by the other. The ratio between quantities a and b can be expressed using the ":" symbol, a : b or as a fraction, a/b.
example:
1. There are 3 girls for every 5 boys in a class.
Then, the ratio of girls to boys can be written as
3 : 5 or 3/5.
2. In a basket filled with 30 pieces of two kinds of fruits, apples and oranges, 20 are apples and the rest are oranges.
Then, the ratio of apples to oranges can be written as
20 : 10 or 20/10.
When simplified,
2 : 1 or 2/1.
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How do I solve this equation 3.2x+12=48
Answer:11.25
Step-by-step explanation: first subtract 12 from both sides then you would have 3.2x=36
and then divide both sides by 3.2 which is x=11.25
Answer: x=11.25
Step-by-step explanation: 48-12> 36> 3.2x=36> divide 36 by 3.2> x= 11.25
Hope this helped
Lin ordered 250 pens and 250 pencils to sell for a theatre club fundraiser. the pens cost 11 cents more than the pencils. if lin's total order costs $42.50, find the cost of each pen and pencil.
Using algebraic expression and equation, each pen costs 14 cents while each pencil costs 3 cents.
An algebraic expression is a number, variable, or the combination of both and operational symbols. On the other hand, an equation is the equality of two expressions separated by "=".
Given that the pens cost 11 cents more than the pencils, we can express this as:
x = 11 + y
where x = cost of each pen (cents)
y = cost of each pencil (cents)
If Lin ordered 250 pens and 250 pencils and the total order costs $42.50, we can express that as:
250x + 250y = $42.50
Substitute the value of x in this equation and solve for y.
250x + 250y = $42.50
250(11 + y) + 250y = 4250 cents
2750 + 250y + 250y = 4250
500y = 1500
y = 3
cost of each pencil = 3 cents
x = 11 + y
x = 11 + 3
x = 14
cost of each pen = 14 cents
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find the equation of the line shown
A salad dressing is made by mixing lemon juice and vinegar in the ratio 4:3 Vicky makes 700 ml of the salad dressing. How much lemon juice does she use? Give your answer in millilitres (ml).
Answer:
400 ml of lemon juice
Step-by-step explanation:
We know that there are 700 ml of salad dressing, and the ratio of lemon juice to vinegar is 4:3. We know that therefore, there are 7 equal parts. To find how many ml are in one part, we divide 700 by 7, which gives us 100. Then we can multiply that answer by 4 to find how many ml of lemon juice and 3 to find how many ml of vinegar.
100 x 4 = 400
Therefore, Vicky uses 400 ml of lemon juice.
A
hippopotamus
lost 400 pounds over 8 months. What is the
's average change in weight per month?
Answer:50 pounds a month
Step-by-step explanation:400 divided by 8=50pounds
