Answer:
p = 4Step-by-step explanation:
A quadratic equation has equal/repeated solutions when a discriminant (Δ) is equal 0.
The formula of a discriminant (Δ) of equation
[tex]ax^2+bx+c=0\\\\\Delta=b^2-4ac[/tex]
We have the equation
[tex]4x^2+8x+p=0\to a=4;\ b=8;\ c=p[/tex]
substitute
[tex]\Delta=8^2-4\cdot4\cdot p=64-16p\\\\\Delta=0\iff64-16p=0[/tex]
subtract 64 from both sides
[tex]-16p=-64[/tex]
divide both sides by (-16)
[tex]\dfrac{-16p}{-16}=\dfrac{-64}{-16}\\\\p=4[/tex]
A town has a population of 2000 and grows at 3.5% every year. To the nearest year, how long will it be until the population will reach 3900?
Answer:
27 years.
Step-by-step explanation:
2000->100%
?->3.5%
=70 people growth each year
3900-2000=1900[expected growth]
70-per year
1900-?
1900*1/70=27.1
=27.|1
27 years
It will take 9 years for the town's population to reach 3900.
What is an exponential function?"An exponential function is a function of form f (x) = a^(x), where a is the base."
Exponential growth function:f(x) = a×(1+r)^x
where,
f(x) = exponential growth function
a = initial amount
r = growth rate
x = number of time intervals
For given situation,
initial population: a = 2000,
growth rate r = 3.5/100
⇒ r = 0.035
f(x) = 3900
We need to find the nearest year to reach the population 3900.
i.e., to find value of x(years)
Using the exponential growth function,
⇒ 3900 = 2000(1 + 0.035)^x
⇒ 3900/2000 = (1.035)^x
⇒ 1.95 = (1,035)^x
⇒ [tex]x=log_{1.035} 1.95[/tex]
⇒ x = 19.41
⇒ x ≈ 19
Therefore, it will take 19 years to reach 3900.
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Can's box of chocolates is a rectangular prism. The dimensions are 10 inches by 5 inches by 8 inchesEach chocolate in the box is 2 inches by 2 inches by 2 inches. How many chocolates are in Cam's box
Answer:
I think 50 (not too sure)
Step-by-step explanation:
First find the volume of the Chocolate Box which is 400. (10 · 5 · 8)
Then find the volume of each chocolate which is 8. (2 ·2 ·2)
Then divide 400 by 8 to see how many chocolates can fit.
400 ÷ 8 = 50
And that's how I got the answer! Hope that helped! <3
drag each item to its correct place es de monomios
Answer:
Step-by-step explanation:
-2x
Grado : 1
Coefficiente : -2
Parte literal : x
x²y⁴:
Grado : 2+4 = 6
Coefficiente : 1
Parte literal : x²y⁴
in which of these situations do the quantities combine to make 0? A. A dolphin swims 20 feet straight down from the surface. It then rises 20 feet to return to the surface. B. Scott earns $20 at his family's garage sale. He then earns $20 walking dogs for his neighbors. C. Travis receives $10 from a friend to pay for a concert ticket. He then spends $20 on tickets for his friend and himself. D. A scuba diver drops 30 feet below sea level. He then swims 30 feet across the ocean floor.
Answer:
A. A dolphin swims 20 feet straight down from the surface. It then rises 20 feet to return to the surface.
Step-by-step explanation:
It goes down 20 then up 20
-20 + 20 = 0
Answer:
Answer A
Step-by-step explanation:
This is the correct option as you are going feet down and then 20 feet back up. So basically, an equation that would represent this is -20+20=0.
5. It is a method of describing a set, in words.
A. Roster Notation
C. Set Builder Notation
B. Listing Method
D. Verbal Description Method
Answer
There are two common ways of describing or specifying the members of a set: roster notation and set builder notation. These are examples of extensional and intensional definitions of sets, respectively
Which expressions are equivalent to 3x + 3(x + y)?
Choose all answers that apply:
A 6x + 3y
B 3(x + x + y)
C 3ay
Answer:
A and B
Step-by-step explanation:
3x+3(x+y)
3x+3x+3y
6x+3y
B
3(x+x+y)
3x+3x+3y
6x+3y
Her friend comes to the rescue and brings 15 more cups of chocolate chips! How many more muffins will they be able to make with the additional chocolate chips?
Answer:
Not enough context.
Step-by-step explanation:
Please give us the full question. How many chocolate chips in a muffin?
Select all polynomials that have (x + 2) as a factor.
Choose all answers that apply:
A A(x) = x^3– 3x^2 – 10x
B B(x)= x^3+ 5x^2 + 4x
C C(x)= x^3 – 2x^2 – 13x – 10
D D(x) = x^3– 6x² + 11x- 6
Answer:
A. (x) = x^3– 3x^2 – 10xx) / (x - 5) x (x + 2) YES
B. (x)= x^3+ 5x^2 + 4x / x (x + 1) (x + 4) NO
C. (x)= x^3 – 2x^2 – 13x – 10 x / (x - 5) (x + 1) (x + 2) Yes
D. (x) = x^3– 6x² + 11x- 6 / x = (x - 3) (x - 2) (x - 1) NO
Step-by-step explanation:
The solution is:;
A. (x) = x^3– 3x^2 – 10xx) / (x - 5) x (x + 2)
C. (x)= x^3 – 2x^2 – 13x – 10 x / (x - 5) (x + 1) (x + 2),
are the polynomials that have (x + 2) as a factor.
What are Polynomials?Polynomials are sums of k-xⁿ terms, where k can be any number and n can be any positive integer.
3x+2x-5, for example, is a polynomial.
EXPLANATION
We want to find which of the given polynomials has (x + 2) as a factor.
To do this, we have to equate (x + 2) to 0 and solve for x:
(x + 2) = 0
x = -2
Now, substitute that into each of the polynomials. If (x + 2) is a factor of a polynomial, the polynomial will become 0 after the substitution is made.
A. (x) = x^3– 3x^2 – 10xx) / (x - 5) x (x + 2) YES
B. (x)= x^3+ 5x^2 + 4x / x (x + 1) (x + 4) NO
C. (x)= x^3 – 2x^2 – 13x – 10 x / (x - 5) (x + 1) (x + 2) Yes
D. (x) = x^3– 6x² + 11x- 6 / x = (x - 3) (x - 2) (x - 1) NO
Hence, The solution is:;
A. (x) = x^3– 3x^2 – 10xx) / (x - 5) x (x + 2)
C. (x)= x^3 – 2x^2 – 13x – 10 x / (x - 5) (x + 1) (x + 2),
are the polynomials that have (x + 2) as a factor.
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Juliet prepares cupcakes for a party. The recipe calls for 21 tablespoons of flour, but she only has a teaspoon to measure the flour. She uses 3 teaspoons of flour for each 1 tablespoon in the recipe. At this rate how many teaspoons of flour are required to make the cupcakes?
Answer:
63 teaspoons
Step-by-step explanation:
if 3 teaspoons equals 1 tablespoon and you need 21 tablespoons of flour the 21X3=63 so it requires 63 teaspoon measures to make the cupcakes
The data represented by the following stem-and-leaf plot range from
to
2189
3 504
4 127
5 36
A. 29; 53
B. 28; 56
C. 28; 53
D. 29, 56
SUBMIT
Answer:
28;56
Step-by-step explanation:
According to the stem-and-leaf plot, the range of the data represented by the stem-and-leaf plot is 63.
To determine the range of the data represented in stem and leaf plot, we need to look at the smallest and largest values. The smallest value is obtained by taking the smallest leaf in the plot, which is 36, and adding it to its corresponding stem (5). So, the smallest value in the data set is 536.
Next, we look for the largest value, which is found at the bottom of the last stem. In this case, the last stem is 5, and the largest leaf is 9. Therefore, the largest value in the data set is 599.
Now that we have the smallest and largest values, we can calculate the range by subtracting the smallest value from the largest value:
Range = Largest Value - Smallest Value
Range = 599 - 536
Range = 63
So, the answer is Answer: C. 28; 53
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Triangle CDA is the image of triangle ABC after a 180° rotation around the midpoint of segment AC. Triangle ECB is the image of triangle ABC after a 180° rotation around the midpoint of segment BC.
Answer:ABCD and ABEC are parallelograms because they both have a pair of parallel lines.
DCE AND CEB are congruent angels
1. How can you tell the difference between the pre-image and image when only given the coordinates or a picture?
Answer:You need To tell them apart, they will usually be defined separately.
Step-by-step explanation:
What is the decimal equivalent of 23/9
A. 25
B. 0.39
C. 2.39
D. 2.55
2.55
To find a decimal you need to divide y and x (y/x)
What I did was I divided 23/9 and got 2.55555555556. And 2.55 is closest to 2.55555555556.
If 2KL=KL+MN, then KL=MN
Choose the definition, theorem, or postulate that justifies the statement.
A. Subtraction Property of Equality
B. Definition of Midpoint
C. Segment Addition Postulate
D. Symmetric Property (of= or≅)
E. Reflexive Property (of= or≅)
F. Transitive Property (of= or≅)
G. Definition of Congruence
H. Substitution Property
I. Addition Property of Equality
J. Multiplication Property of Equality
K. Division Property of Equality
Answer:
a. subtraction property of equality
Step-by-step explanation:
Finance Application. Tony earned $8.25 per hour at his after school job. Each week he earned $80. Write and solve an equation to show how many hours he worked each week.
Answer:
9.6969 hours
Step-by-step explanation:
8.25x = 80
x = 9.6969 hours
Please help, due in 6 hrs (will mark brainliest and giving 85 points) will ask seperate question for the 85 points
Answer: If I'm being honest I only know parts A and B.
A. (4, 19) and (7, 7).
B. 4/1 or just 4.
Step-by-step explanation:
B. From point (7, 7) to (6, 11) is up 4 and left 1, rise over run is how you write the slope so it would be written as 4/1. Depending on you're teacher you can just put 4 and it can be correct, so, 4/1 or just 4.
Identify the number of terms in this polynomial.
5k^5+7k-2
Answer:
cuatro terminos
Mrs. Wright sold t-shirts for $12.00, which was a 30% markup from what she paid for each. How much did Mrs. Wright pay for each t-shirt originally? (remember to round to the nearest hundredth so it looks like money
Answer:
She originally paid $3.60
Step-by-step explanation:
She originally paid for them $3.60 before the markup of 30%.
We can use this equation [tex]12 x 0.3 = 3.60[/tex] to confirm our answer. We also add a zero at the end because we are using units of money.
In a lab, a substance was heated by 48 Degrees Celsius over a period of 8 hours at a constant rate. what was the change in temperature each hour?
Answer: The change in temperature each hour was 6 degrees celsius.
Step-by-step explanation: 48 divided by 8 = 6
A man starts out on a trip driving his car at a constant rate of 48 mph. A man riding a motorcycle starts out on the same route 1.5 hours later, traveling at a constant rate of 64 mph. How long will the car have been traveling when the motorcycle catches up?
Answer:
6 hours
Step-by-step explanation:
answer this question
will give brainliest
Which of the following is the name for a substance made of two or more types of atoms that are not chemically bonded together? (2 points)
Compound
Mixture
Solute
Molecule
(who wants to talk and whatever)
Answer:
the correct answer i think is mixture
Step-by-step explanation:
I dont get the question
Siguiendo la ley de los signos ¿qué signo obtenemos al multiplicar dos signos iguales?
•Suma?
•Menos?
•Positivo?
•Negativo?
Answer: Si se multiplica un número positivo por uno negativo, el resultado tiene signo negativo. Si se multiplican dos números con signos iguales, el resultado tiene signo positivo
Step-by-step explanation:
PLS ANSWER HELP
Thanks
50+ Points!
Solve the equation.
5^-9×325+(-42÷-14)
Answer:
−6347653.25 or 3.0001664, not my style of math but it is definitely one of the two.
Step-by-step explanation:
−1953125 x 325 + 3
−6347656.25 + 3 = −6347653.25
Answer:
3.0001664
Step-by-step explanation:
.
Dan has already written 27 pages,and he expects to write 1 page for every additional hour spent writing . After spending 21 hours writing this week ,how many pages will Dan have written in total ?
Answer:
48 pages total
Step-by-step explanation:
hope this helps
Solve the inequality:
u^2 > 8u + 33
Answer:
u<−3 or u>11
Step-by-step explanation:
u2=8u+33
u2−(8u+33)=8u+33−(8u+33)(Subtract 8u+33 from both sides)
u2−8u−33=0
(u+3)(u−11)=0(Factor left side of equation)
u+3=0 or u−11=0(Set factors equal to 0)
u=−3 or u=11
1. Miles and Simon do chores to earn an allowance from their parents. Miles has $120 saved and gets a $10 allowance per week. His brother Simon has $75 saved but he does more chores so he gets $15 a week. What is the solution and how did you find it?
How long will it take for them both to have the same amount saved?
How much will they both have when they have the same amount?
Answer:
120 +10w = 75 + 15w, w=weeks, found by adding savings to rate times and unknown variable of weeks and setting equal to each other. 9 wks, $210
Step-by-step explanation:
120 +10w = 75 + 15w
120-75= - 10w+15w
45=5w
45/5=9
9 weeks
120 + 90 = 75 + 135
210= 210
Will mark brainliest if correct!!!
(Evaluate 3 + 11t - 9u when t = 9 and u = 11)
Answer:
the answer is 3
Step-by-step explanation:
3 plus 99 minus 99
Answer:
3
Step-by-step explanation:
11 x 9=99
9x11=99
99+3=102
102-99=3
twice the number is equal to 15 more than 5 times the number. What is the number
Answer:
35 answer
Step-by-step explanation:
I hope it help