Answer:
the original population was 425
Step-by-step explanation:
Answer:
425
Step-by-step explanation:
Let the original population of blackbirds be x.
Original population decreases by New population
100 24 76
x 24 323
Now we can make an expression like this.
100 ⇒ 76
x ⇒ 323
And now let us use cross multiplication and solve for x.
Let us solve it now.
323 × 100 = 76x
32300 = 76x
425= x
In triangle RST, m∠R > m∠S + m∠T. Which must be true of triangle RST? Check all that apply.
m∠R > 90°
m∠S + m∠T < 90°
m∠S = m∠T
m∠R > m∠T
m∠R > m∠S
m∠S > m∠T
Answer:
Step-by-step explanation:
Wrong
m∠R > m∠T
Correct
m∠S + m∠T < 90°
m∠S = m∠T
m∠R > m∠S
m∠S > m∠T
Answer:
Correct Answers:
m∠R > 90°
m∠S + m∠T < 90°
m∠R > m∠T
m∠R > m∠S
Wrong Answers:
m∠S = m∠T
m∠S > m∠T
Step-by-step explanation:
Finished on assignment. Found error is last response! Updated 7/2022
There is a basketball court. A basketball, who never misses takes a random shot at the basket. What is the probability that the ball will go into the basket
Answer:
100% probability or 1/1
Step-by-step explanation:
This is because since the basketball NEVER misses, there is no chance the the ball will not go inside the basket, leaving room for only the ball to GO inside the basket. Hope this helps!! :D
Given the function f(x) = x² + 8x + 12, determine the average rate of change of
the function over the interval -10 < x < -2.
The average rate of change of a (continuous) function f(x) over an interval [a, b] is given by the so-called difference quotient,
[tex]\dfrac{f(b)-f(a)}{b-a}[/tex]
Here we have f(x) = x² + 8x + 12 and the interval is [-10, -2], so the ARoC of f(x) on this interval is
[tex]\dfrac{f(-2) - f(-10)}{-2 - (-10)} = \dfrac{0 - 32}8 = \boxed{-4}[/tex]
An investment group compares returns on an account against the function represented in the table, where x is the time in years and f(x) is the total return on investment.
Which describes the function over the interval given in the table?
a decreasing quadratic function
an increasing quadratic function
a decreasing exponential function
an increasing exponential function
The function over the interval is an increasing exponential function.
What is quadratic function?A quadratic function is" a polynomial function with one or more variables in which highest exponent of variable is 2".
The complete question is
An investment group compares returns on an account
against the function represented in the table, where x is the
time in years and f(x) is the total return on investment.
Which describes the function over the interval given in the
table?
х
a decreasing quadratic function
an increasing quadratic function
a decreasing exponential function
an increasing exponential function
0
5
f(x)
10,000
12,201.90
14,888.64
22,167.15
10
20
A decreasing quadratic function is the vertex of the parabola lies on the axis parabola. So, time in years change does not give maximum total return on investment.
For increasing quadratic equation, the graph increasing at one side of the axis and decreases at other side.
For, Exponential function
When the exponential function then it shows total return on investment is not maximum.
When the exponential function is increasing it shows time goes, total return on investment is maximum.
Hence, the exponential function is increasing.
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Need help and a better understanding
On a biased dice the probably of getting a 6 is 4/5 the dice is rolled 500 times estimate how many 6s would be riled
Answer:
400
Step-by-step explanation:
4/5×500
=400 6s would be riled
79=11x+13
Solve each equation by using the properties of equality and justify each step
Solution: X=6
Detailed explanation:
In this problem we're asked to find "x" or the unknown.
The first step is to subtract 11x from both sides.
[tex]---\mapsto\boldsymbol{-11x+79=13}[/tex]
Next, subtract 79 from both sides.
[tex]---\mapsto\boldsymbol{-11x=-66}[/tex]
To finish this off, divide both sides by -11.
[tex]---\mapsto\boldsymbol{x=6}[/tex]
Voila! There's our answer!
Cheers!! ^-^___________________
Hope I helped. Best wishes.
Reach far. Aim high. Dream big.
___________________
[tex]\large\green\longrightarrow \tt \large \:79 \: = \: 11x \: + \: 13[/tex]
[tex]\large\green\longrightarrow \tt \large \:79 \: - \: 13 \: = \: 11x[/tex]
[tex]\large\green\longrightarrow \tt \large \:66 \: = \: 11x[/tex]
[tex]\large\green\longrightarrow \tt \large \: \frac{ \cancel{66} \: \: ^{ \pink6} }{ \cancel{11}} \: = \: x \\ [/tex]
[tex]\large\green\longrightarrow \tt \large \:6 \: = \: x[/tex]
Hence , the value of x is 6
The market value of a home is $180,000. The assessment rate is 55%. What is the assessed value of the home?
Answer:
$99 000
Step-by-step explanation:
[tex](180000)(\frac{55}{100} )=99000[/tex]
Hope this helps
A circle has a diameter with endpoints (-7, 1) and (-3, 7).
What is the equation of the circle?
r2 = ( x - 3) 2 + ( y + 4) 2
r2 = ( x + 3) 2 + ( y - 4) 2
r2 = ( x + 5) 2 + ( y - 4) 2
r2 = ( x - 5) 2 + ( y + 4) 2
Answer: (C) r² = (x+5)²+(y-4)²
Solution:-
The given endpoints are (-7,1) and (-3,7)
so the center will be at the mid point of the line connecting these two points.
hence, center ={ (-7+-3)/2, (1+7)/2 }
hence, C= (-5,4)
so, the equation of the circle is:-
⇒ (x-(-5))²+(y-4)²=r²
or, (x+5)²+(y-4)²=r²
Help!! Please and thank you!
It is clear that T lies on the perpendicular bisector of NP. See the explanation below.
Given that M (X,Y) is the midpoint of NP
X thus = (5+1)/2
= 3
Y = (7+1)/2
= 4
Hence, we have M (3,4)
Consequent on the above:
Slope TM (m') = (4-2) / (3-6) = - 2/3
Slope of NP (m) = (7-1) / (5-1) = 6/4 = 3/2
M' = -1/m
Hence
TM ⊥ NP; and NP ⊥ TM
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The average hourly salary of workers in a warehouse is $14.50 with a standard deviation of $1.75. the shaded area of which curve represents the probability of the hourly salary being between $11 and $16.25?
Answer:
where is the question Skidoo
this is just a statement
Which statement describes the graph?
<-10
10-
-10+
10
OA. The graph crosses the y-axis at (0, -5), decreasing from x = -10 to
x= -2 and increasing from x= -2 to x = 10.
B. The graph crosses the y-axis at (0, -5), decreasing from x = -10 to
x = 0 and remaining constant from x = 0 to x = 10.
C. The graph crosses the y-axis at (-6, 0), decreasing from x= -10 to
x = -2 and remaining constant from x=-2 to x = 10.
OD. The graph crosses the y-axis at (0, -5), decreasing from x = -10 to
x= -2 and remaining constant from x=-2 to x= 10.
Correct answer is option D.
The graph crosses the y-axis at (0, 5), increasing from x = -10 to x = 2 and remaining constant from x = 2 to x = 10.
What is Increasing Function?A function f(x) is said to be increasing on an interval I if for any two numbers x and y in I such that x < y, we have f(x) ≤ f(y).
For this case, the first thing you should observe is that you have a different function in two distinct intervals.
We have then:
For [-10, 2]:
The linear function has a positive slope, therefore it grows and cuts the y-axis at the point (0, 5)
For [2, 10]:
We have a constant function whose equation is:
y = 5
Thus, the correct Answer is:
D. The graph crosses the y-axis at (0, 5), increasing from x = -10 to x = 2 and remaining constant from x = 2 to x = 10.
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What should be added to (-10) to get (+10)
Answer:
20
Step-by-step explanation:
-10 + 20 = +10
Answer:
[tex]\fbox {20}[/tex]
Step-by-step explanation:
Let the required term be x
Then :
x + (-10) = 10x - 10 = 10x = 10 + 10x = 20Which of the following are solutions to the equation below?
4x^2 + 4x + 1 = 9
Check all that apply
Answer:
Option B and D
Step-by-step explanation:
Subtract 9 from both sides :
4x² + 4x - 8 = 0
Divide both sides by 4 :
x² + x - 2 = 0
Factorise using factorisation method :
x² - x + 2x -2 = 0
x(x - 1) +2(x-1) = 0
(x+2)(x-1) = 0
Solve for x
x +2 = 0 OR x - 1 = 0
x = -2 OR x = 1
Answer will be Option B and D
Hope this helped and have a good day
Answer:
option b. –2 and d. 1 are correct.
*For detailed explanation refer to the attachment
Create three probability problem, Solve the problems.
Question:
A fair die is tossed.
Find the probability of obtaining an even number
Answer:
sample space=(1,2,3,4,5,6)
number of favourable outcomes=3
Event A= (outcome is even)
= (2,4,6)
Total number of outcomes=6
Thus, P(even number)=3/6
=1/2
Question 2:
A drawer contains 10 identical handkerchiefs of which 2 are white, 5 are blue, and 3 are pink. A handkerchief is drawn at random. what is the probability that it is white or pink?
Answer:
total number of outcomes=10
P(the handkerchief is white or pink)=2+3/10
=5/10
=1/2
helen rolls a dice and flips a coin.
calculate the probability
Answer:
1/12
Step-by-step explanation:
dice rolling=1/6
coin flipping=1/2
Hence probability=1/6×1/2
Answer:
Dice roll = 1/6
Coin flip = 1/2
The graph shows two lines, A and B:
Based on the graph, which statement is correct about the solution to the tC system of equations for lines A and B?
O (3, 4) is the solution to both lines A and B.
© (3, 4) is the solution to line A but not to line B.
O (0, 2) is the solution to both lines A and B.
O (0, 2) is the solution to line A but not to line B.
Answer:
the answer is (3,4) is the solution to line A but not to line b
Describe the transformations of the graph of y=5 times 2^x-2+3 as compared to the graph of y=2^x
the transformations used are:
Dilation of scale factor 5.Shift of 2 units to the right.Shift of 3 units up.Which transformations are used?
We start with the function:
[tex]f(x) = 2^x[/tex]
And we have the transformed function:
[tex]g(x) = 5*2^{x-2} + 3[/tex]
Bow, let's start with the original function f(x). If first we apply a vertical dilation of scale factor 5, then we have:
g(x) = 5*f(x).
Then we apply a shift of 2 units to the right, so we have:
g(x) = 5*f(x - 2)
Then we apply a shift of 3 units up, so we have:
g(x) = 5*f(x - 2) + 3
Replacing f(x) by the actual function:
[tex]g(x) = 5*2^{x-2} + 3[/tex]
Then the transformations used are:
Dilation of scale factor 5.Shift of 2 units to the right.Shift of 3 units up.If you want to learn more about transformations:
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$10,000 is invested at 7% annual interest which is compounded continuously what is the balance after eight years with no deposits or withdrawals are made
Answer:
$17,506.73
Step-by-step explanation:
Continuous Compounding Formula
[tex]\large \text{$ \sf A=Pe^{rt} $}[/tex]
where:
A = Final amountP = Principal amounte = Euler's number (constant)r = annual interest rate (in decimal form)t = time (in years)Given:
P = $10,000r = 7% = 0.07t = 8 yearsSubstitute the given values into the formula and solve for A:
[tex]\sf \implies A=10000e^{(0.07 \times 8)}[/tex]
[tex]\sf \implies A=10000e^{0.56}[/tex]
[tex]\implies \sf A=17506.725...[/tex]
Therefore, the value of the account after 8 years is $17,506.73 to the nearest cent.
help me solve this problem please.
-11, -6, -7 and -6.1 are the answers
The inequality is r lesser than or equal to -6
Factorise: 6 x2+ 7x -3
[tex] \:❏ \: \: \LARGE{\rm{{{\color{orange}{6 {x }^{2} \: + \: 7x \: - 3}}}}}[/tex]
Factorize the equation by breaking down the middle term.[tex] \large \blue\implies \tt \large \: 6 {x }^{2} \: + \: 7x \: - 3[/tex]
Let’s identify two factors such that their sum is 7 and the product is -18.Sum of two factors = 7 = 9 - 2
Product of these two factors = 9 × (-2) = 18
Now, split the middle term.[tex]\large \blue\implies \tt \large \:6 {x}^{2} \: + \: 9x \: - \: 2x \: - \: 3[/tex]
Take the common terms and simplify.[tex] \: \\ \large\blue\implies \tt \large \:3x(2x \: + \: 3)\: -1(2x \: + \: 3)[/tex]
[tex] \\ \large\blue\implies \tt \large \:(3x \: - \:1 ) \quad \: (2x \: + \: 3) \: = \: 0[/tex]
Thus, (3x - 1) and (2x + 3) are the factors of the given quadratic equation.
Solving these two linear factors, we get[tex]\large\blue\implies \tt \large \:x \: = \: \frac{1}{3} \: \: , \: \: \frac{ - 3}{2} \\ [/tex]
[tex] {6x}^{2} + 7x - 3 \\ \\ {6x}^{2} + 9x - 2x - 3 \\ \\ ( {6x}^{2} + 9x) - (2x + 3) \\ \\ 3x(2x + 3) - 1(2x + 3) \\ \\ (3x - 1)(2x + 3).[/tex]
The table lists the average monthly cost to workers for family health insurance for various years.
a) Use a graphing calculator to fit a regression line to the data.
b) Predict the average monthly cost to workers for family health insurance in 2021, and compare the value with $510.37, which
is obtained using the points (1,338) and (4,385).
c) Find the correlation coefficient for the regression line, and determine whether the line fits the data closely.
Answer:
5 dollars :)
Step-by-step explanation:
ig
Rsm question please explain
The question is in the picture
A triangle is a three-edged polygon with three vertices. ΔAKE and ΔCKP are congruent.
What is a triangle?A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angle of a triangle is always equal to 180°.
In ΔABC, since AB≅BC, therefore, the triangle will be an isosceles triangle, and the measure of ∠A ≅ ∠C, using the base angle theorem.
Now In ΔAKE and ΔCKP,
∠A ≅ ∠C {Proved above}
∠AKE ≅ ∠CKP {Given}
AK ≅ KC {Given }
Since two angles and a side of the triangle are equal, therefore, we can write the two triangle are congruent using the Side-angle-side or Angle-Side-Angle congruence.
Hence, ΔAKE and ΔCKP are congruent.
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The equation y = 180 + 5x represents the amount a school club will pay a T-shirt company for custom T-shirts, where x represents the number of T-shirts purchased and y represents the total cost in dollars. The equation y = 10x represents the club’s income from selling the T-shirts, where y represents the money earned in dollars and x represents the number of T-shirts sold. Assuming that the club members sell all the T-shirts they purchase, when will the club make a profit? The following graph represents this situation:
Answer:
36 TSHIRTS is the number for minimum profit
Step-by-step explanation:
Y = Y
180 + 5X = 10X
180 = 10X - 5X
180 = 5X
X = 180/5
X = 36
Which of the following best describes how the y values are changing over each interval?
X
1
23
3
4
5
y
2
4
8
16
32
O They are increasing by 2 each time.
O They are increasing by 4 each time.
They are being multiplied by 2 each time.
O They are being multiplied by 4 each time.
Answer:
They are being multiplied by 2 each time.
Step-by-step explanation:
The X values are going up by 1 and every time X goes up by 1, Y doubles. So (1,2) goes to (2,4) and then (3,8) etc.
Function h is a transformation of the parent exponential function. Which statement is true about this function?
As x approaches positive infinity, approaches 0.
As x approaches negative infinity, approaches positive infinity.
As x approaches positive infinity, approaches positive infinity.
As x approaches negative infinity, approaches negative infinity.
The statement that is true about this function is C. As x approaches positive infinity, h(t) approaches positive infinity
Calculations and Parameters
Given that we have:
The domainThe rangeThe functionTherefore, when x approaches to negative infinity,
[tex]\lim_{x \to \infty} h(x)[/tex]
= 2^(-∞-5)
= 2^(-∞)
= 1/2^∞
=0
Also, as x approaches negative infinity, function h(x) approaches 0.
Then when x approaches to positive infinity,
[tex]\lim_{x \to \infty} h(x)[/tex]
2^(∞-5)
= 2^(∞)
= ∞
Therefore, As x approaches positive Infinity, h(x) approaches positive infinity.
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1. ABCD is a square with side length 12 cm.
a) Find the exact area of the shaded
[2 MARKS]
b) Find the area, correct to 2 decimal places. Use =3.142. [1 MARK]
region. [Leave your answer in terms of #]
NOT
A
6
с
I
Answer:
Exact Area of shaded region = 141.39cm²
Step-by-step explanation:
Quadrant of a circle - Quadrant refers to the four quarters in the coordinate plane system. Each of the four sections is called a quadrant. When it comes to circle, the quarter of a circle is called a quadrant, which is a sector of 90°.
area of circle =πr²
area of quadrant of a circle = πr²/4
where r is the radius of the circle.
In the given figure there are 2 types of quadrants of circle are present
one with radius AB (bigger )
another with radius AB/2 (smaller)
Now area of quadrant having radius = AB
⇒ π(AB) ²/4
here AB is the side of square
so AB = 12cm
substituting this in the area of quadrant formula
area of bigger quadrant = π(12²)/4
area₁ = 144×π/4
area₁ = 144×3.142/4
area₁ = 113.112cm²
now area of smaller quadrant = π(AB/2) ²/4
area ₂ = π(6) ²/4
area ₂ = 36π/4
area ₂ = 9×π
area ₂ = 28.278cm²
Now it is clear from the given figure,
area of shaded region is = area₁ - area₂ +2×area₂
= 113.112cm² - 28.278cm² + 2× 28.278cm²
= 113.112cm² + 28.278cm²
= 141.39cm² (answer)
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A rectangular prism has a square base with a width of 6 and a volume of 360 cm3. If a square pyramid has a base with the same width and height, what is the volume of the pyramid? Round to the nearest tenth.
The volume of the square pyramid is the one-third of the square prism with same height and base area. Then the volume of the pyramid will be 120 cubic cm.
What is the volume of the pyramid?Suppose the base of the pyramid has length = L units, width = W units, slant height = K units, and the height of the pyramid is of H units.
Then the volume of the pyramid will be
V = (L × B × H) / 3
The volume of the square prism will be
V = (L × B × H)
Then the volume of the square pyramid is the one-third of the square prism with same height and base area.
[tex]\rm V_{pyramid} = \dfrac{V_{prism} }{3}[/tex]
A rectangular prism has a square base with a width of 6 and a volume of 360 cm³.
If a square pyramid has a base with the same width and height.
Then the volume of the pyramid will be
V = 360 / 3
V = 120 cubic cm
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A girl travels from garage a for 59km ti garage b on a bearing of 037degree and then turn right through 90degree and travels for 119km to garage c what is the bearing frim c from a if ac is 138km
The bearing from C to A of the given travel path is gotten as; 100.63°
How to calculate the bearing?From the bearing image attached, we can use trigonometric ratios to get;
tanx = opp/adj
x = 53 + θ ---------- eqn(1)
opp = 119
adj = 59
Thus;
tan x = 119/59
tan x = 2.0169
x = tan⁻¹(2.0169)
x = 63.63°
From eqn (1), we have;
θ = x - 53
θ = 63.63 - 53
θ = 10.63°
Thus, the bearing from C to A = 90 + 10.63 = 100.63°
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Five siblings decide to buy their father a birthday present that costs b dollars, splitting the cost evenly amongst themselves. In terms of B, how much money does each sibling save by buying the gift as a group rather than alone?
A = b/25
B = b/5
C = 4b/5
D = 4b
Answer: b/5
Step-by-step explanation:
They divide the total by 5 to get the cost each person has to pay
