Considering that 160,000 is the y-intercept of the function, it's significance is given by:
the initial population at the time of the estimation.
What is the y-intercept of a function f(x)?The y-intercept is f(0), that is, the value of y when x = 0, which is interpreted as the initial value of the function.
Researching this problem on the internet, it is found that f(0) = 160,000, hence the significance of 160,000 in the function is given by:
the initial population at the time of the estimation.
More can be learned about the y-intercept of a function at https://brainly.com/question/27979095
#SPJ1
A rectangular school yard has a perimeter of 294 meters. Its area is 5,162 square meters. What are the dimensions of the school yard?
The dimensions of the school yard is 58 m and 89 m.
What is rectangle ?A rectangle is a polygon with four sides , It has opposite sides parallel and equal.
It is given that
A rectangular school yard has a perimeter of 294 meters
Perimeter of a rectangle is given by
P = 2(Length +Breadth)
294 = 2( L+B)
147 = L+B
Area of a rectangle is given by
L*B = 5162
B = 5162/L
L + 5162/L =147
L² -147L +5162 = 0
L² -58L - 89L+5162 = 0
L(L-58) -89(L-58)
L = 58 , 89
The dimensions of the school yard is 58 m and 89 m.
To know more about Rectangle
https://brainly.com/question/15019502
#SPJ1
2
A B
-10-9-8
5
Point A
Point B
Point C
Point D
6
ch point on the number line represents the product (-4)(-2)(-1)?
8
012
9
10
C D
5 6 7 8 9 10
59:3
We can actually deduce here that the point on the number line that represents the product (-4)(-2)(-1): -8.
What is number line?Number line is actually known to be a horizontal or vertical line that is graduated with both negative and positive numbers. A number line is known to have both negative and positive numbers.
We see here that if we multiply out the brackets, (-4)(-2)(-1) = (8)(-1) = -8.
Thus, the answer is -8.
See attached image.
Learn more about number line on https://brainly.com/question/24644930
#SPJ1
the area of an issoseles triangle is 240 if the base is 24cm find the length of each sides
Answer:
Both of the two unknown sides of the triangle are 23.32 cm
Step-by-step explanation:
"Isosceles" means that the triangle has two equal sides. It is quite symmetrical. If we draw in the height, the base will be cut right in half by it. See image.
First use area formula:
A = 1/2bh
to find the measure of the height (Area and base were both given)
Then use the Pythagorean Theorem to solve for the hypotenuse, which is the side of the triangle. See image.
There are 15 men and 21 women in a club. One man and one female are to be selected at random to represent the club. How many different pairs are there?
Someone please help me with this one, thanks
There are 315 number of different pairs
How to determine the number of pairs?The given parameters are:
Men = 15
Women = 21
The number of different pairs is calculated as:
Pair = Men * Women
So,we have:
Pair = 15 * 21
Evaluate
Pair = 315
Hence, there are 315 different pairs
Read more about combination at:
https://brainly.com/question/11732255
#SPJ1
The function h(x) is a transformation of the square root parent function,
f(x)=√x. What function is h(x)?
-5
5
-5-
h(x)
f(x)
K
I
5
The function h(x) is a transformation of the square root parent function,
f(x)=√x. The function is h(x) A: √x+5.
What is Transformations?Transformations come in the form;
y =√(x-h) +k,
where h is responsible for left-right movements, and k is responsible for up-down movements.
From the graph, we can see that f(x) is simply the parent square root function, √x.
To translate a function right by p units and up by q units, the function becomes
g(x) = f(x -p) +q
(p, q) = (5, 0)
To get h(x), there is a translation of 5 units to the left, which can be represented by a value of h = -5.
h(x) = f(x + 5) +0
h(x) = √(x+ 5)
Hence, The function h(x) is a transformation of the square root parent function, f(x)=√x. The function is h(x) A: √x+5.
Learn more about function here:
https://brainly.com/question/2253924
#SPJ1
The sum of 8 and a number is less than 15. Which of the following
inequalities expresses the solution?
The inequality which expresses the solution to the task is; x < 7.
Which inequality expresses the solution to the graph?According to the task content; The sum of 8 and a number is less than 15. Therefore, it follows that;
let
The unknown number = x
sum of 8 and a number:
8 + x
sum of 8 and a number is less than 15:
8 + x < 15
x < 15 -8
x < 7.
Ultimately, the required inequality is; x < 7.
Read more on inequalities;
https://brainly.com/question/24372553
#SPJ1
Marcia bought a car for £34500 and sold it for £29700. what was her percentage loss?
can i have an explanation please :)
Answer:
cost of car = 34500
selling price = 29700
amount of loss = 34500 - 29700 = 4800
loss percentage = (loss amount ÷ cost price ) * 100
= 13.913 ≈ 14% loss
Use the given graph to determine the limit, if it exists.
The limit [tex]\lim_{x \to \ 3^{+} } _f(x)[/tex] is equal to -3 for the function whose graph is being shown in the question.
Given Graph of a function.
If we see the graph carefully then we can find that it is not a straight linear means it is not the graph of a linear function. From x=-10 to -3 the range is from 4 to -2 and from 3 onwards it is a straight line at y=-3. means when we put the value of x in the function equal to or less than 3 then we gets different answers than the values equal to or greater than 3 gives.
Because the graph is linear from x=3 onwards so the limit of the function will be -3.
Hence the limit [tex]\lim_{x \to \ 3^{+} } f(x)[/tex] is equal to -3.
Learn more about functions at https://brainly.com/question/10439235
#SPJ10
By rounding to 1 significant figure, estimate the answers to these questions:
a)346 × 904
b) 2451 × 988
c)3204 × 7756
Answer:
a) 270000
b) 2000000
c) 24000000
Step-by-step explanation:
For a)
346 to 1 s.f is 300
904 to 1 s.f is 900
300 × 900 = 270000
For b)
2451 to 1 s.f is 2000
988 to 1 s.f is 1000
2000 × 1000 = 2000000
For c)
3204 to 1 s.f is 3000
7756 to 1 s.f is 8000
3000 × 8000 = 24000000
Hope this helped and have a good day
HEEEEEEEELLLLLLLPPPPPPPPPPPPPPPPPPPPPPPPPPPPPp
Answer:
6
Step-by-step explanation:
This problem centers on recognizing the relationship between fractions and repeating decimals.
Note the following:
[tex]\frac{1}{3}=0.33333333333333333333333333333333333333333333333...[/tex]
or more simply [tex]\frac{1}{3}=0.\bar{3}[/tex]
This means that [tex]2\frac{1}{3}=2.\bar{3}[/tex]
Going back to the original expression, [tex]3\frac{2}{3}+2.\bar{3}[/tex] simplifies to [tex]3\frac{2}{3}+2\frac{1}{3}[/tex]
Next, adding mixed numbers. For adding mixed numbers, whole number parts and fractional parts can be added separately (this is because of the associative and commutative properties of addition)... because
[tex]3\frac{2}{3}+2\frac{1}{3}[/tex] means the same thing as
[tex](3+\frac{2}{3})+(2+\frac{1}{3})[/tex]
Changing the order, we can write it as
[tex]3+2+\frac{2}{3}+\frac{1}{3}[/tex]
Adding the whole number parts, 3+2 is 5.
Next, adding the fraction parts:
For adding fractions, one must have a common denominator (the bottom part of the fraction must be the same). Once they are the same, the denominator just sort of "hangs out" until the end without changing, and the numerators (the tops) are added together.
Fortunately, the denominators are already the same. So, add the numerators, and the denominator will stay as a 3.
[tex]\frac{2}{3}+\frac{1}{3}[/tex]
[tex]\frac{1+2}{3}[/tex]
[tex]\frac{3}{3}[/tex]
It is important to recognize that any fraction* where the number on the top matches the number on the bottom, the fraction is equivalent to 1.
*(except if the number we're talking about is zero)
So, the fraction parts added together, are equivalent to 1, and the whole number parts added were equal to 5. Returning to our expression...
[tex]3+2+\frac{2}{3}+\frac{1}{3}[/tex]
[tex]5+\frac{3}{3}[/tex]
[tex]5+1[/tex]
[tex]6[/tex]
What is the intermediate step in the form (x+a)^2=b as a result of completing the square
for the following equation? 4x^2+64x+467=15
The intermediate step in the following equation is (4x + 16)² = - 196
What is an Equation ?An Equation is the mathematical statement formed when two algebraic expressions are equated using an equal sign.
The given equation is
4x² +64x+467 = 15
4x² + 2 * 2x *16 + 256 -256 +467 = 15
(4x + 16)² +211 = 15
(4x + 16)² = - 196
Therefore the intermediate step in the following equation is
(4x + 16)² = - 196
To know more about Equation
https://brainly.com/question/10413253
#SPJ1
Trigonometric ratios apply only to right triangles and not to oblique triangles.
true
false
Answer:
[tex]\fbox {True}[/tex]
Step-by-step explanation:
Trigonometric ratios apply to only right triangles, and not to oblique triangles. There various ratios of angles less than or equal to 90 degrees is taken.
Step-by-step explanation:
hope you can understand
Can anyone help me with this it would be great.
Answer:
11. The student put 24 as the diameter instead of the radius.
12. 48 pi
Step-by-step explanation:
The formula for the circumference of a circle is c = pi x diameter.
However, the question says that the radius is 24m, not the diameter.
To fix it, all you need to to is double the radius to get 48m for the diameter.
48 x pi = 48 pi
Answer:
The error is that he made the radius a diameter.The circumstances is 150.8571428 mStep-by-step explanation:
π = 22/7 or 3.14
Circumference= diameter × 22 / 7
= 2 × radius × 22 / 7
= 2 × 24 × 22/ 7
= 48 × 22 / 7
= 48 / 1 × 22 / 7
= 1056 / 7
= 150.8571428 m
a tree surgeon reduces the height of a beech tree by 32%.
the tree is now 4.42m tall.
how tall was it before it was reduced?
Let original Hieght be X
reduction = 32% = 32/100 X
new hieght = 4.42 m
now, 4.42 = X + 32/100 X
4.42 = 132/100 X
X = 4.42 * 100 / 132
X = 3.34 m
Original Hieght = 3.34 m
In a given year, a marketing firm has the following costs: $560,000 in wages and salaries paid to employees; $74,000 in rental payments for office space; and $83,000 for office supplies, advertising, and utilities. In addition, Andrew, the owner of the firm, works for the firm full time (and is not paid a salary, since he receives the firm's profits). If he did not work for the marketing firm, Andrew could earn $130,000 per year working as a marketing manager for another firm.
Accounting profit when revenue is 700,000 is $-17,000 and economic profit is $-147,000.
Accounting profit when revenue is 750,00 is $33,000 and economic profit is $-97,000
Accounting profit when revenue is 800,000 is $83,000 and economic profit is $-47,000.
Accounting profit when revenue is 850,000 is $133,000 and economic profit is $3000
What is economic and accounting profit?Accounting profit is total revenue less total explicit cost. Economic profit is accounting profit less implicit cost
Explicit cost = $560,000 + $74,000 + $83,000 =$717,000
Implicit cost = 130,000
Accounting profit when revenue is 700,000: 700,000- 717,000 = $-17,000
Economic profit = $-17,000 - $130,000 = $-147,000
Accounting profit when revenue is 750,000: 750,000- 717,000 = $33,000
Economic profit = $33,000 - $130,000 = $-97,000
Accounting profit when revenue is 800,000: 800,000 - 717,000 = $83,000
Economic profit = $83,000 - $130,000 = $-47,000
Accounting profit when revenue is 850,000: - 717,000 = $133,000
Economic profit = $133,000 - $130,000 = $3000
Here is the complete question:
For each possible amount of total revenue, fill in the accounting profit and economic profit of the marketing firm.
700,000
750,000
800,000
850,000
To learn more about profit, please check: https://brainly.com/question/26181966
#SPJ1
Practice B
Study the graph below and answer the following questions.
100
80
No. of Face Shields Sold
60
40
20
Face Shields Sold by Ms. Lopez
Monday Tuesday Wednesday
Thursday
Days
1. On what days did she sell the same number of face shields?
2. On what day's did she set more than 60 face shields?
3. How many face shields did she sell in 5 days?
4. How many more face shields did she sell on Thursday than on Friday?
What inference can you make if Ms. Lopez will sell face shield the whole week?
Friday
Answer:
Where did the writer go in holiday
4. What is the slope of the line that passes through the points (2, 7) and (6, 21)? Answer may be in decimal
point. Someone please please help I would really appreciate it
Answer:
About 3.5
Step-by-step explanation:
To get slope, you essentially need to find the rise (the y values) over run (the x values). You'll most likely see the formula for slope written like this:
[tex] \frac{y2 - y1}{x2 - x1} [/tex]
Thankfully, you have the values you need to solve the problem!
x1 = 2
x2 = 6
y1 = 7
y2 = 21
So plugging these numbers in, we get:
[tex] \frac{(21) - (7)}{(6) - (2)} \\ \\ \frac{14}{4} \\ \\ 3.5 [/tex]
[EDIT: I misread 6 as 5. Answer has been updated!]
Ms. Kilicoglu wants to buy a total of 45 volleyballs and basketballs. She has $435 to spend. Each volleyball costs $8 and each basketball costs $11. How many of each type of ball can she purchase?
An equation is formed when two equal expressions. Ms. Kilicoglu will buy 20 volleyballs and 25 basketballs.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Let x be the number of volleyballs and y be the number of basketballs. Therefore, the total number of balls can be written as,
x + y = 45
x = 45 - y
Each volleyball costs $8 and each basketball costs $11. Also, Ms. Kilicoglu has only $435, therefore,
8x + 11y = 435
8(45 - y) + 11y = 435
360 - 8y + 11y = 435
3y = 75
y = 25
Substitute the value of y in the first equation,
x + y = 45
x + 25 = 45
x = 20
Hence, Ms. Kilicoglu will buy 20 volleyballs and 25 basketballs.
Learn more about Equation:
https://brainly.com/question/2263981
#SPJ1
f(x)=x²-3x-2 is shifted 4 units left. The result is g(x). What is g(x)?
A. g(x)=(x-4)² - 3(x-4)-2
B. g(x)=x²-3x+2
C. g(x) = (x+4)² - 3(x+4) - 2
D.g(x) = (x+4)² - 3x-2
Answer:
c
Step-by-step explanation:
left is in brackets and opposite sign so left is plus right is minus
A social club has 500 members.
If 62% of members are male, what percentage are female?
Answer:
[tex]\huge\boxed{\sf 38\%}[/tex]
Step-by-step explanation:
Total members = 500
Total percentage = 100%
Percentage of male members = 62%
Percentage of female members:= 100% - male members
= 100% - 62%
= 38%
[tex]\rule[225]{225}{2}[/tex]
Answer:
310 members or 38% are female
Step-by-step explanation:
100% - 62%male = 38% female
or (62 × 500) ÷ 100 = 310 females
The length of the rectangle is 4 more than the width. The area of the rectangle is 45
square centimeters. Identify the length and width of this rectangle.
Answer:
You need 2 numbers whose product is 45 and whose difference is 4.
so the length is 9 and the width is 5.
Hope this helps.
Todd is 3 years older than his brother Jack. If Jack is x years old and Todd is y years old, write a rule that relates their ages over time. When Jack is 28 years old, how old will Todd be?
A rule that relates their ages over time is given by y = x+3 , When Jack is 28 years , Todd will be 31 years old.
What are Variables ?Variables are generally alphabets that are used to denote the unknown values in any process or equation.
If Jack is x years old
Todd is y years old
Todd is 3 years older than his brother Jack.
a rule that relates their ages over time is given by
y = x+3
When Jack is 28 years old
Todd will be
y = 28+3
y = 31 years
Therefore Todd will be 31 years old.
To know more about Variables
https://brainly.com/question/15078630
#SPJ1
find the value of a from the following 1. tan3a=cot2a
The value of a is 14.
What is Trigonometry?
The branch of mathematics concerned with specific functions of angles and their application to calculations.
Given:
tan3a=cot2a
tan 3a= tan (90- 2a)
On comparing
3a= 90- 2a
5a= 90
a= 14
Hence, the value of a is 14.
Learn more about trigonometry here:
https://brainly.com/question/12537661
#SPJ1
Please help! Evaluate the following expression:
4+ (8x √9) ÷ (2+4)
A. 6
B. 28/6
C. 8
D. 15/6
Answer:
the answer to the question is C) 8
Point A lies outside of plane P, how many lines can be drawn parallel to plane P that pass through point A.
The number of lines that can be drawn parallel to plane P that passes through point A is 1.
How to depict the information?From the information given, we are told that Point A lies outside of plane P. It should be noted that when a line is drawn from a point to another, it can only be one.
Therefore, the number of lines that can be drawn parallel to plane P that passes through point A is 1.
Learn more about parallel lines on:
https://brainly.com/question/24607467
#SPJ1
Help I need this today before 12:50pm
1.
Answer:
<B ≅ <F
<C ≅ <G
<D ≅ <H
<A ≅ <E
Explanation:
Little tick marks are used to show that two sides are the same length (congruent). You can use just one tick mark, two or three, or more -- just as long as you use the same number on sides that are equal.
You make the little rounded sweep in the angle and then use tick marks to show which angles are the same size (have the same measure -- are congruent).
2.
Answer: x = 8 and y = 19
Explanation:
Triangle MLN ≅Triangle SRT
Therefore, each angle and side measure of one triangle are equal to the corresponding angle and side of the other triangle.
<M ≅ <S
<S= 93 (Given)
<M=93
<N=63 (Given)
Line segment ML ≅ Line segment SR
Line segment ML = 43
Line segment SR = 3x + y
Now, we need to find the values of x and y.
43 = 3x + y
<M+<N+<L=180 (Interior angles measure of a triangle is always 180)
93+63+z=180
156+z=180
z= 24
24 is the measure of <R.
<R=3x
24=3x
x=8
Now if we plug in the 8, the value of x, into our equation above,
43=3x+y
43=3(8)+y
43=24+y
43-24=y
19=y
3.
Answer:
<K ≅ <M
<J ≅ <N
<Q ≅ <P
<L≅ <L
Explanation:
Because all four interior angles are congruent to each other, these two quadrilaterals are equal to each other. Additionally, the side measurements of one shape are equal to the corresponding measurements of the other shape.
4.
Answer: What must be true about these two triangles is that triangle ABC and triangle DEF are equilateral triangles.
Explanation: This means that the measurement of all sides is equal and the measurement of all angles is also equal.
Which of the equations have only 1 solution -5x+12=5x-5
Answer:
in the pic...
Step-by-step explanation:
Hope it Helps!!!
Use the function f(x) = 4x² - 7x - 15 to answer the questions.
Part A: Completely factor f(x). (2 points)
Part B: What are the x-intercepts of the graph of f(x)? Show your work. (2 points)
Part C: Describe the end behavior of the graph of f(x). Explain. (2 points)
Part D: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part B and Part C to draw the graph.
Step-by-step explanation:
Part A:
4x² - 7x - 15
a, b, c = 4, -7, -15
ac = -60
factors that add up to -7 and multiply to -60 are (-12, 5)
rewrite equation
(4x² - 12x) + (5x - 15)
factor out GCF from both groups
4x(x - 3) + 5(x - 3)
(4x+5)(x-3)
Part B:
Using the factored form from the previous part we can set both factors equal to 0 to solve for x.
4x+5 = 0
4x = -5
x = -5/4
x-3 = 0
x = 3
the two x-intercepts are -5/4 and 3
Part C:
Since the leading coefficient is positive, the right side of the function will be going up or to positive infinity as x goes towards positive infinity. Since the degree is even both sides go in the same direction so on the left side it also goes towards positive infinity as x goes towards negative infinity.
Can you help me graph and list the (Zeros, Maximums, Minimums, Asymptotes)
The zero of the function is at 33.69 degree , the graph is plotted and attached with the answer.
What is a Function ?A function is a law that relates a dependent variable and an independent variable with each other
It is given that
y = 2tan (x - π/2) +3
To find the zeroes of a function that function has to be equated to zero.
2tan (x - π/2) +3 = 0
2tan (x - π/2) = -3
tan (x - π/2) = -3/2
x - 90 = -56.31
x = 33.69 degree
The zero of the function is at 33.69 degree
For finding the maxima /minima
the derivative is
dy/dx = 2 sec² (x - π/2)
the point at which the slope is zero is substituted in the second derivative to find maxima/minima
d²y/dx² = 4 sec² (x - π/2) tan (x - π/2)
if the value is negative then it is a maxima and if it is positive it is a minima.
The vertical asymptote is found by finding the values that make the function undefined
x = 0+ πn
No horizontal or oblique asymptote
To know more about Function
https://brainly.com/question/12431044
#SPJ1
The table above shows some values of the linear function F. Which of the following defines F? A) f(n) = n-3 B) f(n) = 2n-4 C) f(n) = 3n-5 D) f(n) = 4n-6
Answer:
3n - 5
Step-by-step explanation:
f(n) = 3n - 5. Works for all of them