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Answer:
no solution
Step-by-step explanation:
The two lines are parallel, so do not intersect. There is no solution.
In a certain region, about 11% of a city's population switches from phone service provider APP to phone service provider BPP each year, and about 5% of the populaton switches from BPP to APP each year. Show the system of linear equations that models this migration pattern to calculate the new amounts of the population with each service provider. In 2018, there were 1.75 million customers of APP and 2.05 million customers of BPP. Find the predicted number of customers for each provider in 2022. Round to the nearest hundredth of a million when reporting the populations.
Answer:
The predicted number of customers for APP in 2022 is of 1.37 million, and of BPP is of 2.59 million.
Step-by-step explanation:
Exponential function:
An exponential function has the following format:
[tex]y(t) = y(0)r^t[/tex]
In which [tex]y(0)[/tex] is the initial value and r is the rate of change.
11% of a city's population switches from phone service provider APP to phone service provider BPP each year, and about 5% of the populaton switches from BPP to APP each year.
This means that each year, the BPP amount increases by 11 - 5 = 6%, and the APP decreases by 6%. So the equations are:
BPP:
[tex]B(t) = B(0)(1 + 0.06)^t[/tex]
[tex]B(t) = B(0)(1.06)^t[/tex]
APP:
[tex]A(t) = A(0)(1 - 0.06)^t[/tex]
[tex]A(t) = A(0)(0.94)^t[/tex]
In 2018, there were 1.75 million customers of APP and 2.05 million customers of BPP.
This means that [tex]A(0) = 1.75, B(0) = 2.05[/tex]
Thus
[tex]B(t) = 2.05(1.06)^t[/tex]
[tex]A(t) = 1.75(0.94)^t[/tex]
Find the predicted number of customers for each provider in 2022.
2022 - 2018 = 4, so we have to find A(4) and B(4).
[tex]B(4) = 2.05(1.06)^4 = 2.59[/tex]
[tex]A(4) = 1.75(0.94)^4 = 1.37[/tex]
The predicted number of customers for APP in 2022 is of 1.37 million, and of BPP is of 2.59 million.
Determine the solution for the following equation: [tex](8x-8)^{\frac{3}{2} }=64[/tex]
a - x=3
b - x=5
c - 13
d - 65
Answer:
[tex]\text{A. }x=3[/tex]
Step-by-step explanation:
Recall the exponent property [tex]a^{b^c}=a^{(b\cdot c)}[/tex]. Therefore, we can square both sides of the equation to get rid of the fraction in the exponent:
[tex]((8x-8)^{\frac{3}{2}})^2=64^2,\\(8x-8)^{\frac{3}{2}\cdot2}=64^2,\\(8x-8)^3=4096[/tex]
Take the cube root of both sides:
[tex]8x-8=16[/tex]
Add 8 to both sides:
[tex]8x=24[/tex]
Divide both sides by 8 to isolate [tex]x[/tex]:
[tex]x=\frac{24}{8}=\boxed{3}[/tex]
the polynomial whoes zeroes are 5 and 4 is
Answer:
If -5 and 4 are the zeroes of the polynomial, Then , (X+5) and (X-4) are the factors of the polynomial. This is the required polynomial.
Hope this answer is right!!
A patient needs 0.5L of ½ NS over 120 minutes. What is the flow rate in mL/hr?
Answer:
250mL/1hr
Step-by-step explanation:
0.5L over 120 minutes
0.25L over 60 minutes
250mL over 60 minutes
What is a half of 25% of 0.2 0f 200?
Answer: 5
Step-by-step explanation:
Data: Half of 25% of 0.2 of 200=x
Step one, Find 0.2 of 200
0.2=20%
20% of 100=20 so 20% of 200=40
Reason: 0.2 is another way of writing 20% so you can find 20% of 200 with a shortcut. basically since 20% of 100 is 20 and 200 is 100x2 you can just multiply 20x2 to get 20% of 200, which is 40.
Step two, Find 25% of 40
40/4=10 which means 4x10=40
10=25% of 40
Reason: Since percent is based of 100, we know that multiplying 25 by 4 will get us 100 so all we need to go to find 25% of something it divide it by 4. 40/4 is 10 so 10 would be 25% of 40(0.2 of 200)
Step three, Find half of 10
10/2=5
Reason: To find the half of anything, you insert the number(x) into here 'x/2' or just divide it by two, it's the same thing. And since 10/2 is 5 half of 10 is 5.
So, half of 25% of 0.2 of 200 is 5
I hope this helps!
Hello, could you help me understand how to solve this question. Thank you. Also could you explain what does "How does this ratio compare to the scale factor?"
Answer:
Step-by-step explanation:
I think the quotient of the ratio is the scale factor.
C'A' / CA = 8/4 = 2
So since the scale factor is 2 it means that the triangle on the right has dimensions that are twice those of the triangle on the left.
If you need more, let me know.
Which of the following expressions is equivalent to 4 to the negative 3rd power
?
Answer:
[tex]4 ^{-3}[/tex]
or
[tex]\frac{1}{4^3}[/tex]
or
[tex]\frac{1}{64}[/tex]
Step-by-step explanation:
four to the negative power of 3 is = 4⁻³
Step-by-step explanation:
The answer is A (the first one). 4 to the negative 3rd power is 4^-3
A tree was 14 3/8 inches tall when it was first planted. Two years later, the tree was 21 1/8 inches tall. how much did the tree grow in the two years
Answer:
In two years, the tree grew 27/4in.
Step-by-step explanation:
21 1/8 - 14 3/8 = 27/4in.
hope it helped :)
mark me brainliest!
The width of a rectangle is 2 less than twice its length. If the area of the rectangle is 72 cm, what is the
length of the diagonal?
The length of the diagonal is
cm.
Give your answer to 2 decimal places.
Answer:
Step-by-step explanation:
W=2L-2
A=72
LW=72
L(2L-2) = 72
2L^2 -2L= 72
2L^2 -2L-72=0
L^2 - L -36 = 0
L= -5.52 or 6.52(neg # not a solution)
W=11.04
L=6.52
DIAG = [tex]\sqrt{11.04^2+6.52^2}[/tex] = 12.82
~~~~~~~~~~~~~~
What is the line of symmetry for the parabola whose equation is y = -x2 + x + 3?
x = -1
x = -1/2
x = 1/2
Answer:
[tex]x = \frac{1}{2}[/tex]
Step-by-step explanation:
Given
[tex]y = -x^2 + x + 3[/tex]
Required
The line of symmetry
This is calculated using:
[tex]x= -\frac{b}{2a}[/tex]
Where:
[tex]y = ax^2 + bx + c[/tex]
So, by comparison:
[tex]a = -1[/tex] [tex]b = 1[/tex] [tex]c = 3[/tex]
So, we have:
[tex]x = -\frac{1}{2 * -1}[/tex]
[tex]x = -\frac{1}{-2}[/tex]
[tex]x = \frac{1}{2}[/tex]
1/2 is correct, the formula to use is x= - b/2a :)
Activity 2 Direction: Complete the proof. Given: V is the midpoint of |E, angle| cong angle E Prove: V is the midpoint of GR Proof: Statements 1. V is the midpoint of IE, 21 2. 3. 4. AGVI ARVE 5. 6. V is the midpoint of GR Q3 Week No.9 Competency E R Reasons Definition of Midpoint E 1. 2. 3. Vertical Angle Theorem 5. CPCTC 6. 5 Code: M8GE-Illh-1, M8GE-Illi-j-1 Activity 3 Direction: Fill in the missing statements and reasons. Given: GA bisects angle G; overline GA perp L overline D Prove: overline GL cong overline GD Proof: Statements 1. GA bisects 4G 2 . 3 . 4. ZGAL and angle GAD are right angles 5 . 6. overline GA cong overline GA; 7. Delta GAL cong Delta GAD; 8. overline GL cong overline GD L D Reasons Bisector 1. 2. Definition of Angle 3. Given 4 . 5. All right angles are congruent. 6. 7 . 8.
Answer:
[tex]1.\ Given[/tex]
[tex]2.\ IV \cong VE[/tex]
[tex]3.\ \angle GVI \cong \angle RVE[/tex]
[tex]4.\ ASA\ congruence[/tex]
[tex]5.\ GV \cong VR[/tex]
[tex]6.\ Proved[/tex]
Step-by-step explanation:
Given
See attachment for right question format
Required
Complete the blanks
1. V is the [tex]midpoint[/tex] of |E, [tex]\angle I \cong \angle E[/tex] ---- This statement was stated in the question.
So, the reason is Given
2. Midpoint means halfway. So, we can fill the statement column with:
[tex]IV \cong VE[/tex] --- because V is the midpoint of IV and VE
or [tex]GV \cong VR[/tex] --- because V is the midpoint of GV and VR
3. Vertical angle are congruent. So, the statement is:
[tex]\angle GVI \cong \angle RVE[/tex] which means that angles at V are congruent
4. We have:
[tex]\triangle GVI \cong \triangle RVE[/tex] because
[tex]\angle GVI \cong \angle RVE[/tex] --- congruent angles (A)
[tex]IV \cong VE[/tex] ---- congruent sides (S)
[tex]\angle GIV \cong \angle REV[/tex] --- congruent angles (A)
The above implies that: [tex]\triangle GVI \cong \triangle RVE[/tex] because of ASA congruence
5. CPCTC is true here because GV and VR are corresponding sides of triangles GVI and RVE. ---- [tex]\triangle GVI \cong \triangle RVE[/tex]
Hence, both sides are congruent ----[tex]GV \cong VR[/tex]
6. The given statement has been prived
Engineers must consider the diameters of heads when designing helmets. The company researchers have determined that the population of potential clientele have head diameters that are normally distributed with a mean of 6.6-in and a standard deviation of 1.1-in. Due to financial constraints, the helmets will be designed to fit all men except those with head diameters that are in the smallest 0.8% or largest 0.8%.1. What is the minimum head breadth that will fit the clientele?
2. What is the maximum head breadth that will fit the clientele?
Answer:
1. The minimum head breadth that will fit the clientele is of 3.95-in.
2. The maximum head breadth that will fit the clientele is of 9.25-in.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 6.6-in and a standard deviation of 1.1-in.
This means that [tex]\mu = 6.6, \sigma = 1.1[/tex]
1. What is the minimum head breadth that will fit the clientele?
The 0.8th percentile, which is X when Z has a p-value of 0.008, so X when Z = -2.41.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-2.41 = \frac{X - 6.6}{1.1}[/tex]
[tex]X - 6.6 = -2.41*1.1[/tex]
[tex]X = 3.95[/tex]
The minimum head breadth that will fit the clientele is of 3.95-in.
2. What is the maximum head breadth that will fit the clientele?
The 100 - 0.8 = 99.2nd percentile, which is X when Z has a p-value of 0.992, so X when Z = 2.41.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]2.41 = \frac{X - 6.6}{1.1}[/tex]
[tex]X - 6.6 = 2.41*1.1[/tex]
[tex]X = 9.25[/tex]
The maximum head breadth that will fit the clientele is of 9.25-in.
Consider the optimization problem of maximizing Cobb–Douglas production function: Q = 20 K1/2 L1/2, subject to cost constraint: K + 4L = 64.
a/ Use the method of Lagrange multipliers to find the maximum value of the production function;
b/ Estimate the change in the optimal value of Q if the cost constraint is changed to K + 4L = 65, and state the new maximum value of the production function.
Answer:
bsjsisisos9ss9w9s9s9
giải phương trình vi phân: y" - 5y' + 6y = 6x + 7
Неоднородное ДУ второго порядка. Детали в аттаче.
Question 31 of 50
An electrician charges (1) an initial fee of $20 and then $30 per hour. Which linear equation represents this if (h) represents hours?
f = 20h + 30
f=30h + 20
f = 50h
Answer:
ok so if it is 30 dollars per hour so 30h plus 20 so
f=30h+20
Hope This Helps!!!
me ayudan plissssssss
Answer:
73.74°
Step-by-step explanation:
sin Ф = opposite/hypotenuse
sin Ф = 24/25
[tex]sin^{-1}[/tex] (24/25) = 73.74
√45 is the distance between which of the following complex numbers?
Step-by-step explanation:
we don't see the complex numbers.
so, we cannot check their distances.
a suspicion, though.
sqrt(45) a distance between 2 complex numbers is
sqrt(a² + b²).
so,
a² + b² = 45
a nice combination of whole square numbers would be 6 and 3.
6² + 3² = 36 + 9 = 45
if that is the case, then that would mean one of the following committed numbers
6 + 3i
3 + 6i
-6 + 3i
6 - 3i
-6 - 3i
-3 + 6i
3 - 6i
-3 - 6i
one of these numbers must be the result of the subtraction of the 2 provided complex numbers.
remember
(a + bi) - (c + di) = a-c + (b-d)i
Do you guys know this
Answer:
Kindly check attached picture
Step-by-step explanation:
The expected graph is attached in the picture below :
Since additional fee is charged on only luggage exceeding 50 pound weight :
The inequality is :
Additional fee applied to :
Weight > 50
Hence x our arrows starts from 50 to the right of the number line
Right angle Trigonometry, please help me solve and explain!
Answer:
theta = arctan 8/5 = 58 degrees
Step-by-step explanation:
The tangent function relates the angle theta to the two side lengths 5 and 8:
tan theta = 8/5 We need to find the angle, theta.
Using a calculator with the inverse tangent funtion built-in, we find that the angle theta is
theta = arctan 8/5 = 58 degrees.
Your answer in part (b) read "one and one- fourth" is called a mixed number since it has a whole number part and a fraction part. What does the word "and" indicate in the name of this fraction?
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Answer:
the end of the whole number and the beginning of the fraction
Step-by-step explanation:
The word "and" means the whole part and the fractional part should be considered together as having a value equal to their sum. It signifies the separation between the whole-number part and the fractional part.
__
It has the same meaning as when used in a decimal mixed number:
1.2 = "one and two tenths"
Find the oth term of the geometric sequence 9, -18,36,...
Pls helpllllll
Step-by-step explanation:
oth term ? please check.
a system of regular payments for when something bad happens
a. Directly b. Reasonable c. Insurance
d. Tuition
the answer is b. insurance
i need help with this qnq
Answer:
The answer is 50km
Step-by-step explanation:
This is because IGH = TUV so IG = TU which is 50 kilometers.
Find HG and HI. Pleaseeee help :/
What is the sum of 1/4 and 1/2?
Answer:
Thw sum of 1/4 and 1/2 is 3/4
Step-by-step explanation:
You have to put them in common like terms so
1/4 + 1/2 = ?
1/4 + 2/4 = 3/4
1/4 + 1/2
(1 + 1*2)/4
3/4
I hope it's help you...
Mark me as brainliest...
The graph of the function f(x) = 4 over 5 square root x is shown. What is the domain of the function?
Answer:
all real numbers greater than or equal to 0
Step-by-step explanation:
The domain of the function is whatever the input (in this case, x) can be. As you cannot take the square root of a negative number, x cannot be negative. Because you can take the square root of 0 (which is 0), x can be anything postive or 0, meaning anything greather than or equal to 0. The domain is all real numbers greater than or equal to 0.
A random sample of 21 desktop PCs is selected. The mean life span is 6.8 years with a standard deviation of 2.4 years. Construct a 95% confidence interval for the mean life span of all desktop PCs. Assume that the life spans of all desktop PCs are approximately normally distributed (a) (5.85, 7.75) (b) (1.68, 3.12) (c) (5.60, 8.00) (d) (5.71, 7.89) (e) (5.77, 7.83)
Answer:
(d) (5.71, 7.89)
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 21 - 1 = 20
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 20 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.086
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.086\frac{2.4}{\sqrt{21}} = 1.09[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 6.8 - 1.09 = 5.71 years
The upper end of the interval is the sample mean added to M. So it is 6.8 + 1.09 = 7.89 years
So the confidence interval is (5.71, 7.89), and the correct answer is given by option b.
ou are setting up a part-time business with an initial investment of $21,000. The unit cost of the product is $11.60, and the selling price is $20.00. (a) Find equations for the total cost C (in dollars) and total revenue R (in dollars) for x units.
Answer:
Total Cost, C(x) = 21000 + 11.60x
Revenue, R(x) = 20(x)
Step-by-step explanation:
Given the investment, which is fixed cost = $21000
Per unit cost of product = $11.60
Selling price = $20
Total cost is the sum of fixed cost and the variable cost:
Thus, TC = FC + VC
Let the number units = x
C(x) = 21000 + 11.60x
Now the total revenue:
R(x) = 20(x)
Will mark brainliest if CORRECT
Answer:
For every 7 hair bands there will be 4 ribbons
7 hair bands →→ 4 ribbons
14 hair bands →→ 8 ribbons
21 hair bands →→ 12 ribbons
etc.
Which phrase describes the variable expression z+ 8?
O A. z increased by 8
O B. The quotient of 8 and z
C. The product of 8 and z
D. z decreased by 8
SUB
9514 1404 393
Answer:
A. z increased by 8
Step-by-step explanation:
When a positive value is added, the original value (z) is increased.
z + 8 ⇔ z increased by 8