Answer:
So I'm assuming we need the denominator to be 0. The only number that will satisfy this is -8.
x = -8.
Step-by-step explanation:
The reason is we need the denominator to be 0. The only way is -8 + 8 which is 0.
In 1970, the population of a small town was 4,200. The population is decreasing at a rate of 2.4% per year. Which of the following shows an exponential decay function to find the quarterly decay rate?The population is decreasing by how much percent per quarter?
Answer:
a. y = 4,200 [tex]0.976^{4t}[/tex]
b. 9.2%
Step-by-step explanation:
Given the information:
The intinital value: 4,200 The population is decreasing at a rate of 2.4% per year=> the base number of the exponential function is:
100% - 2.4% = 97.6% = 0.976
Let t is quarter
Let y is the population
=> the following shows an exponential decay function to find the quarterly decay rate is:
y (t)= 4,200 [tex]0.976^{4t}[/tex]
b. The population is decreasing by how much percent per quarter?
Let t = 0 we have: y(0) = 4,200 [tex]0.976^{4*0} = 4200[/tex]
Let t = 1 we have: y(1) = 4,200 [tex]0.976^{4*1} = 3811[/tex]
=> the decreasing percentage is:
= (y(0) - y(1)) / y(0)*100%
= (4200 - 3811) / 4200 *100%
= 389/4200*100%
= 9.2%
The expoenetial function that represents the quarterly decay is y = 4200(0.994)^4t.
The population is decreasing by 0.4% every quarter.
What is the exponential function that determines the rate of decrease every quarter?The formula that can be used to determine the rate of decrease every quarter is:
FV = P(1 - r/m)^tm
FV = Future value P = Present value of the population = 4,200R = rate of decrease = 2.4%m = number of compoundingt = number of yearsy = 4200( 1 - 0.024/4)^4t
y = 4200(1 - 0.006)^4t
y = 4200(0.994)^4t
To learn more about future value, please check: https://brainly.com/question/18760477
Complementary angles mean all 3 angles equal how many degrees?
Answer:
Two Angles are Complementary when they add up to 90 degrees (a Right Angle)
Step-by-step explanation:
Please mark Brainliest :)
9. A. if 23n=11112, find n
Answer:
23n=11112
n=11112÷23
...n=483.13
The value of n in the equation ( 23n = 11112 ) rounded to the nearest tenth is 483.1.
What is an Equation?An equation is simply a mathematical formula that expresses the equality of two expressions, using the equals sign as a connection between them.
Given the data in the question;
23n = 11112n = ?We simply divide both sides by 23
23n = 11112
23n/23 = 11112/23
n = 11112/23
n = 483.1
Therefore, the value of n in the equation ( 23n = 11112 ) rounded to the nearest tenth is 483.1.
Learn more about equations here: brainly.com/question/14686792
#SPJ2
There are 42 students 21 are in 7th grade 14 are in 8th 7 are in ninth whats the probability of an eighth grader winning
Answer:
The probability of an eighth grader winning is 1/3
Step-by-step explanation:
Total no. of students = 42
Number of students in 7th grade = 21
Number of students in 8th grade = 14
Number of students in 9th grade = 7
Probability of event = [tex]\frac{\text{Favorable outcomes}}{\text{Total outcomes}}[/tex]
So,the probability of an eighth grader winning= [tex]\frac{14}{42}=\frac{2}{6}=\frac{1}{3}[/tex]
Hence The probability of an eighth grader winning is 1/3
Fine the measure of z.
A.70
B.80
C.83
D.87
Answer:
A
Step-by-step explanation:
Answer:A-70
Step-by-step explanation:
180-110=70
A Triangle has angles of 37 and 25 degrees. What is the measurement of the third angle?
Answer:
x =118
Step-by-step explanation:
The sum of the angles of a triangle are 180 degrees. Let the unknown angle be x
37+25 +x = 180
Combine like terms
62+x = 180
Subtract 62 from each side
62+x-62 = 180-62
x =118
Manny observed a Northern Gannet, a deep diving seabird, hovering at a height of 10 meters above the ocean surface. The bird then dove into the water, diving to a depth of 16 meters before coming to the surface. The dive can be modeled by a quadratic function, y = x2 – 10.3x + 10, where x represents the time the dive lasted in seconds and y represents the height of the bird in meters. Use the graphing calculator to graph the equation. After how many seconds did the bird surface? Round your answer to the nearest tenth. seconds
Answer:
9.2 seconds
Step-by-step explanation:
got it right on edg 2020
What is the value of y ? 25=y+20
Answer:
y = 5
Step-by-step explanation:
25 = y + 20
y = 25 - 20
y = 5
hope it helps!
Answer:
y = 5
Step-by-step explanation:
Let's start!
Our equation for today is 25 = y + 20.
First we need to subtract 20 from each side,
25 = y + 20
-20 -20
We get,
5 = y
So our answer is 5!
(Or y = 5)
NICE JOB EVERYONE!
Which statements about the figure are true? Select two options.
The perimeter of the triangle is 19 units.
TU ≅ TS
PU ≅ TU
The length of line segment PR is 13 units.
The length of line segment TR is 10 units.
Complete Question
The circle is inscribed in triangle PRT. A circle is inscribed in triangle P R T. Points Q, S, and U of the circle are on the sides of the triangle. Point Q is on side P R, point S is on side R T, and point U is on side P T. The length of R S is 5, the length of P U is 8, and the length of U T is 6. Which statements about the figure are true?
Answer:
(B)TU ≅ TS
(D)The length of line segment PR is 13 units.
Step-by-step explanation:
The diagram of the question is drawn for more understanding,
The theorem applied to this problem is that of tangents. All tangents drawn to a circle from the same point are equal.
Therefore:
|PQ|=|PU|=8 Units
|ST|=|UT| =6 Units
|RS|=|RQ|=5 Units
(b)From the above, TU ≅ TS
(d)Line Segment |PR|=|PQ|+|QR|=8+5=`13 Units
Answer:
b & d
Step-by-step explanation:
i took the edge test !
simplify the complex fraction 2 3/4 divided by 1 1/8
Answer:
2 3/4 divided by 11/8 would be 2.
Factor the numerator and denominator and cancel the common factors.
I hope that this was helpful :3
STAY SAFE!! :)
Which type of statement had the form If A, then B
A. Deductive
B. False
C. Conditional
D. True
The answer is conditional. I had this question and got it right have a great day
2x^2-12x+16 factor completely
Answer:
2 (x-4) (x-2)
Step-by-step explanation:
2x^2-12x+16
Factor out a 2
2( x^2 -6x +8)
Now we factor the inside term
What multiplies to 8 and add to -6
-4*-2 =8
-4+-2 = -6
2 (x-4) (x-2)
What shapes can you use to model the log and the board
3/2 x 63 = how many?
Simplify the expression.
Exact Form:
189/2
Decimal Form:
94.5
Mixed Number Form:
94 1/2
Answer: 189 or 94.5
Step-by-step explanation:
divide 3/2 because he fashion is division so 3/2 is 1.5 then multiply 1.5 by 63 and you get 94.5
can anyone help
3c+5=23
Answer: c = 6
To solve for c in the equation you see here,
our goal is to get c by itself.
Our first step will be to isolate the term
containing c which in this problem is 3c.
To isolate 3c, we have to get rid of the +5 by
subtracting 5 from both sides of the equation.
On the left, the +5 and -5 cancel out
and we are simply left with 3c.
On the right, 23 - 5 simplifies to 18.
Now we have 3c = 18.
To get c by itself, since it's being multiplied by 3,
we just divide both sides of the equation by 3.
On the left, the 3's cancel and we are left with c.
On the right, 18/3 simplifies to 6.
So our answer is c = 6.
The linear parent function, f(x) = x, is transformed to g(x) = 2x + 7. Which
statement correctly compares the graphs of the functions?
The graph of g(x) = 2x + 7 is a vertical shift of the graph of f(x) = x by 7 units upward.
Explanation:The linear parent function, f(x) = x, is transformed to g(x) = 2x + 7. The transformation is a vertical shift of 7 units upward and a horizontal stretch by a factor of 2. To compare the graphs of the functions, we can plot a few points and observe the differences. For example, if we consider x = 0, for the parent function f(x) = x, the output is f(0) = 0. However, for the transformed function g(x) = 2x + 7, the output is g(0) = 7. This shows that all the y-values of the transformed function are 7 units higher than the corresponding y-values of the parent function. Therefore, the statement that correctly compares the graphs of the functions is that the graph of g(x) is a vertical shift of the graph of f(x) by 7 units upward.
Learn more about Linear transformations here:https://brainly.com/question/35061121
#SPJ12
Final answer:
The function g(x) = 2x + 7 has a steeper graph than f(x) = x due to a larger slope and is also shifted upward by 7 units.
Explanation:
The linear parent function f(x) = x is transformed to g(x) = 2x + 7. When comparing the graphs of the two functions, we notice that g(x) is a transformed version of f(x). Specifically, the graph of g(x) has a slope of 2, which is a steeper incline than the parent function f(x), which has a slope of 1. Additionally, g(x) has a vertical shift upwards by 7 units. Therefore, the statement that correctly compares the two graphs would indicate that g(x) is steeper and shifted 7 units up from the graph of f(x).
Milk & Cookies is an ice cream sandwich stand.
Use the following bar chart to find Milk & Cookies' total profit from July through September.
The total profit from July through September is -$1 if Milk & Cookies is an ice cream sandwich stand.
What is a bar chart?It is defined as the depiction of numerical data in a graph using a bar with space.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
As we can see in the bar graph,
Milk & Cookies is an ice cream sandwich stand.
Total profit from July through September = (+2) + (+2) + (-5)
= -$1
Thus, the total profit from July through September is -$1 if Milk & Cookies is an ice cream sandwich stand.
Learn more about the bar chart here:
https://brainly.com/question/15507084
#SPJ2
Without the bar chart data, the exact total profit for Milk & Cookies' from July through September cannot be calculated. Normally, you would add the monthly profits to find the total profit for the quarter.
Explanation:To determine Milk & Cookies' total profit from July through September, we would need to examine the provided bar chart that lists profits for each month. However, since the actual bar chart data is not included in the question, we cannot calculate the exact total profit.
In a typical situation, you would add the profit of each month: Profit in July + Profit in August + Profit in September to find the total profit for that quarter.
If the total profits for July, August, and September are positive when added together, then Milk & Cookies has made a profit over these months.
If the sum is zero, the business broke even, and if the sum is negative, the business incurred a loss during that period. The profits from the bar chart are essential to conduct this analysis.
Write an exponential function in the form y=ab^xy=ab x that goes through points (0, 5) and (8, 1280)
Answer:
[tex] a =5[/tex]
Now we can use the info from the second point and we have:
[tex] 1280 = 5 b^8 [/tex]
We can divide 5 in both sides and we got:
[tex] 256 = b^8[/tex]
And using an exponent 1/8 in both sides we got:
[tex] (256)^{1/8} = b[/tex]
[tex] b = 2[/tex]
And then our model would be given:
[tex] y= 5 (2)^x [/tex]
Step-by-step explanation:
For this case we have two points given (0,5) and (8,1280). And we want to find a function given by this general expression:
[tex] y= ab^x [/tex]
And using the first point given we have:
[tex] 5 = a b^0 [/tex]
[tex] a =5[/tex]
Now we can use the info from the second point and we have:
[tex] 1280 = 5 b^8 [/tex]
We can divide 5 in both sides and we got:
[tex] 256 = b^8[/tex]
And using an exponent 1/8 in both sides we got:
[tex] (256)^{1/8} = b[/tex]
[tex] b = 2[/tex]
And then our model would be given:
[tex] y= 5 (2)^x [/tex]
Final answer:
To write an exponential function that passes through (0, 5) and (8, 1280), we first use the point (0, 5) to find that a = 5. Then, using the point (8, 1280), we solve for b, finding b = 2. Thus, the required exponential function is[tex]y = 5.2^x.[/tex]
Explanation:
To write an exponential function in the form y=ab^x that goes through the points (0, 5) and (8, 1280), we need to solve for a and b.
Step 1: Use the First Point (0, 5)
Substitute x = 0 and y = 5 into the equation:
5 = a · [tex]b^0[/tex]
Since any number raised to the power of 0 is 1, we find:
a = 5
Step 2: Use the Second Point (8, 1280)
Substitute x = 8, y = 1280, and a = 5 into the equation:
1280 = 5 ·[tex]b^8[/tex]
To solve for b, divide both sides by 5:
256 = [tex]b^8[/tex]
Finding the 8th root of both sides gives:
b = 2
Step 3: Write the Exponential Function
Now that we have a = 5 and b = 2, the exponential function is:
y = 5·[tex]2^x[/tex]
Plz I need this answer thank you
Answer:
w=10.25
P=900
Step-by-step explanation:
You need to substitute those original numbers and see they dont work
Wich x makes the statement 7+5 (x-3)=22 a true statement (URGENT)
A. X=4
B. x=5
C. X=6
D. X=7
Answer:
The answer would be C.) x = 6
Step-by-step explanation:
7+5 (4-3) = 12
7+5 (5 -3) = 17
7+5 (6-3) = 22
7+5 (7-3) = 27
The length of a football field is 300 feet (excluding the end zones). The diagonal is about 316.2 feet. What is the width of the football field, rounded to the nearest foot?
Answer:
w = 100 ft
Step-by-step explanation:
A football fields is of rectangular shape, and for that shape, we know the length (300 ft) and one diagonal (316,2 ft). To determine the width we have to understand that diagonal, length and a width form a right triangle, and in a right triangle we can apply Pytagoras theorem. Therefore:
d(diagonal)² = l² + w² where l is the length and w the width
d² = l² + w² ⇒ d² - l² = w²
w² = ( 316,2)² - (300)² ⇒ w² = 99982,44 - 90000
w² = 9982,44
w = √9982,44
w = 99,91 ft
Rounded to the nearest foot
w = 100 ft
A worker at a mill is loading 5 pound bags of flour into boxes to deliver to a local warehouse. Each box holds 16 bags of flour. If the warehouse orders 4 tons of flour how many boxes are needed to fulfill the order ?
Answer:
100 boxes are needed to fulfill the order
Step-by-step explanation:
In this question, we are concerned with calculating the number of boxes that are needed to fulfill an order.
Each of the boxes contain 16 bags of flour and each of these bags weigh 5 pounds. What this means is that each of the boxes will have a net weight of 5 * 16 = 80 pounds
Mathematically, 1 ton is the equivalent of 2,000 pounds. Hence, 4 tons is the equivalent of 4 * 2000 = 8,000 pounds
Thus, the number of boxes needed will be 8,000/80 = 100 boxes
Write this in standard form. Six hundred twenty-nine and eleven hundredths
Answer:
629.11
Step-by-step explanation:
Six hundred twenty-nine and eleven hundredths
Hundreds | Tens | Ones | Tenths | Hundredths
Fill in the above place value chart
Hundreds (100) | Tens (10) | Ones (1) | Tenths (0.1) | Hundredths (0.01)
6 2 9 . 1 1
Multiply each value in the chart by their respective number above it.
6 (100) + 2 (10) + 9 (1) + 1 (0.1) + 1(0.01)
600 + 20 + 9 + 0.1 + 0.01
Add
629.11
Hope this helps :)
The function F(x) is described below.
Fx) = 3x + 2
What is the value of F(5)?
O A. 10
B. 15
C. 17
D. 21
Answer:
C. 17
Step-by-step explanation:
f(x)= 3x+2
f(5)= 3(5) + 2
f(5)= 15+2
f(5) = 17
i will mark brainliest to whoever will aswer this
2+2=_______?????
Answer:
4
Step-by-step explanation:
It because when you count on your hands from 2 go up 2 more you get 4
Need Help ASAP I have no calculator!!!
50x2x45x50=
Answer:
The answer is 225,000.
Step-by-step explanation:
Hope this Helps!!!
Answer:
225000
Step-by-step explanation:
Jared is going to plant 20 small plants around the edge of a circular garden
that is 8 feet in diameter. If he spaces the plants evenly, how much distance
will be between the plants? (Round to the nearest hundredth)
Blank 1:
Answer:
1 every 2.5 feet
Step-by-step explanation:
20 divided by 8 20 being the plants 8 being the length gives u 2.5
Rounding to the nearest hundredth, the distance between each plant will be approximately 1.26 feet.
To find the distance between each plant when they are evenly spaced around the edge of the circular garden, we can use the formula for the circumference of a circle:
[tex]Circumference (C) = \pi * diameter[/tex]
Rounding to the nearest hundredth, the distance between each plant will be approximately 1.26 feet.
Given that the diameter of the circular garden is 8 feet, we can calculate the circumference:
[tex]C = \pi * 8[/tex]
Now, let's calculate the circumference:
[tex]C = \pi * 8[/tex]
[tex]C = 3.14 * 8[/tex]
[tex]C = 25.12 feet[/tex]
Now, since there are 20 plants evenly spaced around the circumference, we can divide the circumference by 20 to find the distance between each plant:
[tex]Distance between plants = Circumference / Number of plants[/tex]
[tex]Distance between plants =25.12 / 20[/tex]
[tex]Distance between plants = 1.256 feet[/tex]
Complete correct question:
Jared is going to plant 20 small plants around the edge of a circular garden
that is 8 feet in diameter. If he spaces the plants evenly, how much distance
will be between the plants? (Round to the nearest hundredth)
What volume of water is needed to dilute 10.0 mL of 2.0 M HCl to make a 0.25 M HCl solution?
A. Enough to make 50. ml of solution
B. Enough to make 60. mL of solution
C. Enough to make 70. mL of solution
D. Enough to make 80. mL of solution
Answer:
D. 80 mL
Step-by-step explanation:
Given:
- 10.0 mL of HCL
- 2.0 M HCl
- .25 M HCl
1) Convert mL to L
10 mL/1000 mL = .01 L
2) Find # of moles of HCl
2.0 M HCl = (x/.01 L)
x = .02 mol HCl
3) Find volume needed to make .25 M HCl
.25 M = .02 mol HCl/ y
y = .08 Liters
4) Convert Liters to mL
.08 L * 1000 mL = 80 mL
Answer: 80 mL (D)
Little Tommy built a train out of LEGOS. One-sixth of the train was made with blue blocks, 5/8 of the train was made with red blocks and the remaining five blocks were yellow.
How many LEGO blocks long was Tommy's train?
Answer:
24 blocks long
Answer:
24 blocks.
Step-by-step explanation:
[tex]\frac{1}{6} +\frac{5}{8} =5[/tex] blocks
[tex]\frac{8}{48} + \frac{30}{48}=\frac{38}{48}\\\\ \frac{48}{48} -\frac{38}{48} =\frac{10}{48}[/tex]
[tex]\frac{10}{48}[/tex] is 5 blocks
You can use ratios to find out how many blocks for each color now. (I'm too lazy)
Blue blocks: 4 blocks
Red blocks: 15 blocks
Yellow blocks: 5 blocks
4+15+5=24 blocks in total.
En un polinomio P(x,y), homogéneo y completo en "x" e "y", la suma de los grados absolutos de todos sus términos es 420. ¿Cuál es su grado de homogeneidad?
Answer:
the degree of homogeneity is 20.
Step-by-step explanation:
In a polynomial P (x, y), homogeneous and complete in "x" and "y", the sum of the absolute degrees of all its terms is 420. What is its degree of homogeneity?
A homogeneous polynomial is one in which all monomials have the same degree.
This is an example of a homogeneous polynomial of degree 4 (the degree of all monomials is 4):
x ^ 4 + 3x ^ 3y + 2x ^ 2y ^ 2 + xy ^ 3 + 8y ^ 4.
As you can see, the sum of the exponents of the variables x, y in each monomial is 4.
And the number of terms is 5, that is, it is the degree of homogeneity plus 1.
In relation to the sum of the absolute degrees of all monomials or terms it will be: 4 + 4 + 4 + 4 + 4 = 4 * 5 = 20.
In general, you can say that the sum of the absolute degrees in a homogeneous polynomial will be the degree of each monomial by the number of terms = degree * (degree + 1)
Calling n, the degree of our polynomial, it must be fulfilled:
n (n + 1) = 420
=> n ^ 2 + n = 420
=> n ^ 2 + n - 420 = 0
Factoring:
(n + 21) (n - 20) = 0
=> n = -21 and n = 20.
Only the positive value makes sense, therefore n = 20.
In other words, the polynomial is of the form (excluding the coefficients):
x ^ 20 + x ^ 19 y + x ^ 18 y ^ 2 + x ^ 17 y ^ 3 + .... x ^ 3 y ^ 17 + x ^ 2y ^ 18 + xy ^ 19 + y ^ 20
That polynomial has 21 terms.
So the sum of the degrees will be 20 * 21 = 420, as required in the statement.
Therefore, the degree of homogeneity is 20.