Answer:
y=\(\frac{1}{4}\)x+4
Step-by-step explanation:
slope-intersection form: y=ax+b (a=slope, b=y-intersection)
slope is given as 1/4
y=1/4 x +b
substitute (8,6) to solve b,
6=1/4 * 8 + b
b=4
Answer:
the formula for the slope y = mx + b - 4 = ( - 3/4) (8) + b
Given that the polynomial function has the Given zero, find the other zeros. f(x)=x^3-2x^2-11x+52; -4
ANSWER
The other two zeros are
• 3 + 2i
,• 3 - 2i
EXPLANATION
If the zeros of a polynomial are x1, x2, x3... the polinomial function can be written in a factored form,
\(P(x)=(x-x_1)(x-x_2)(x-x_3)\ldots\)Hence, if we know that one of the zeros of f(x) is -4, that means that (x + 4) is a factor. Thus, we can divide the polynomial by that factor,
So f(x) is,
\(f(x)=(x+4)(x^2-6x+13)\)To find the other two zeros now we just have to find the zeros of the second factor (x² - 6x + 13), which is much easier because we can simply use the quadratic formula,
\(\begin{gathered} ax^2+bx+c=0 \\ x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a} \end{gathered}\)In this case a = 1, b = -6 and c = 13,
\(x=\frac{6\pm\sqrt[]{6^2-4\cdot1\cdot13}}{2\cdot1}\)\(x=\frac{6\pm\sqrt[]{36-52}}{2}\)\(x=\frac{6\pm\sqrt[]{-16}}{2}\)Note that the number under the radical is negative. Therefore the other two zeros are not real - in other words, in the real numbers set this function has only one zero: -4.
In the complex number set we know that i² = -1, so we can replace the minus sign under the radical by i²,
\(x=\frac{6\pm\sqrt[]{16i^2}}{2}\)And solve the square root,
\(x=\frac{6\pm4i}{2}\)We can distribute the denominator into the sum/subtraction,
\(x=\frac{6}{2}\pm\frac{4i}{2}\)And we get that the other two zeros are,
\(\begin{gathered} x_2=3+2i \\ x_3=3-2i \end{gathered}\)This agrees with the complex conjugate root theorem, which states that
1. Malik has $30,000 in a savings account that earns 8% annually.
The interest is not compounded. How much total money will he
have in 2 years after collecting the interest?
a. How much simple interest did Malik receive?
$
b. How much total money does Malik have after the 2 years?
$
Step-by-step explanation:
I= prt
I= 30000×8%×2
I= 4800
total = 30000+4800
=34800
Помогите пожалуйста!!
Задумали чесло умножили его на 5 из результата вычли 12 и получили 38. Какое число задумали?
Решить с помощью уровнения
Помогите пожалуйста!!
Answer:
good question it is very hard question
The spinner is divided into six congruent sections what is the probability the spinner will not land on odds
The probability that the spinner will not land on an odd number can be determined by calculating the ratio of the number of even sections to the total number of sections on the spinner.
The spinner is divided into six congruent sections, indicating that each section has an equal probability of being landed upon. To find the probability of not landing on an odd number, we need to determine the number of even sections on the spinner.
Since there are six sections in total, we can observe that three of them would be considered odd numbers (1, 3, and 5), while the remaining three sections would be even numbers (2, 4, and 6). Therefore, the number of even sections is three.
To calculate the probability, we divide the number of favorable outcomes (not landing on an odd number, which is three even sections) by the total number of possible outcomes (all six sections).
Thus, the probability of the spinner not landing on an odd number can be expressed as 3/6, which simplifies to 1/2 or 0.5. In other words, there is a 50% chance that the spinner will not land on an odd number.
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The cost of belonging to a gym can be modeled by C(m) = 54m + 49.50, where C(m) is the total cost for m
months of membership. State the meaning of the slope and y-intercept of this function with respect to the costs
associated with the gym membership.
Step-by-step explanation:
First, we can define the input and output. One way of defining a relationship between x and y values is y=ax+b, with y being the output, a being the slope, b being the y-intercept, and x being the input. We can tell that, in our equation, we have
C(m) = 54 * m + 49.50. This matches up perfectly with our equation, with C(m) matching up with y and m with x. Therefore, C(m) is the output while m is the input.
Now that we know that, we can find the slope and y-intercept. The slope is what we multiply the input value with -- in this case, it's 54. The slope means that for each increase of 1 in the input, the output increases by the slope. In this case, for each increase of 1 month, the cost increases by 54.
The y-intercept is what we add the slope * input to in order to get the output. Here, we have y = ax + b. We add 49.50 at the end to a (54) * x (m), so we can say that 49.50 is our y-intercept. This means that when the input value is 0, this is our output value. Here, we can say that as m = 0,
C(m) = 54m + 49.50
C(m) = 54*0 + 49.50
cost = 49.50
At school basketball games you can buy 3 sodas and 2 pretzels for $4.80 or you
can buy 1 soda and 1 pretzel for $2.00.
Write system equation that represents the situation:
Solve the system using your graph calculator.
A) soda: $0.20 pretzels: $1.80
B) soda: $0.80 pretzels: $1.20
C) soda: $2.88 pretzels: $1.92
D) soda: $0.50 pretzels: $0.50
Answer:
B) soda: $0.80 pretzels: $1.20
Step-by-step explanation:
system of equations:
3s+2p=4.80
1s+1p=2.00
solve:
-2(1s+1p=2.00) = -2s-2p=-4.00
3s+2p=4.80
-2s-2p=-4.00
1s=0.80
3(0.80)+2p=4.80
2.40+2p=4.80
2p=2.40
p=1.20
Find the area of the shaded region
On solving the provided question we can say that - surface area of the following figure cuboid will be - 148cm²
what is surface area ?An indication of the overall space occupied by an object's surface is its surface area. A three-dimensional shape's surface area is the total amount of space that surrounds it. A three-dimensional shape's entire surface area is known as its surface area. The surface area of a cuboid with six rectangular faces may be calculated by adding the areas of each face. As an alternative, you may use the formula below and name the box's dimensions as follows: Surface (SA) = 2lh + 2lw + 2hw. Surface area is a measurement of the entire amount of space filled by a three-dimensional shape's surface (a three-dimensional shape is a shape that has height, width, and depth).
Total Surface Area = 2(lw + bw + lb)
Total Surface Area = \(2(24 + 30 + 20)\)
Total Surface Area = \(148cm^2\)
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On solving the provided question we can say that - surface area of the following figure cuboid will be - 148cm²
what is surface area ?
An indication of the overall space occupied by an object's surface is its surface area. A three-dimensional shape's surface area is the total amount of space that surrounds it. A three-dimensional shape's entire surface area is known as its surface area. The surface area of a cuboid with six rectangular faces may be calculated by adding the areas of each face. As an alternative, you may use the formula below and name the box's dimensions as follows: Surface (SA) = 2lh + 2lw + 2hw. Surface area is a measurement of the entire amount of space filled by a three-dimensional shape's surface (a three-dimensional shape is a shape that has height, width, and depth).
Total Surface Area = 2(lw + bw + lb)
Total Surface Area = - 148cm²
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Can someone pls help me find the area of this please
12.56
Step-by-step explanation:
A = π x r^2
r =2
2^2 = 4
π × 4 = 12.56
A cell phone is in the shape of a rectangular prism, with a length of 4 inches, a width of 2 inches, and a height of 1 inch. What is the volume of the cell phone?
Answer:
8
Step-by-step explanation:
V=whl=2·1·4=8
Volume = width times length times height = 2 x 1 x 4 =8
I hope this helps!!
PLSSSS HELP REALLY DESPERATE!!!!❤️
Answer:which one..?
Step-by-step explanation:
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1.) c= 180-64
=116
b=64
d=100
e=65
2.) a=39
b=122
c=69
(3c) to the power of 0/ (c to the power of -3 d to the power of 5) whole square
Using exponents, the given expression is equal to 1 / (c ^ (-3d) ^ 5) ².
Given expression is as follows: (3c )^ 0 / (c ^ (-3d) ^ 5) ²
We know that anything to the power 0 is 1 So, we get:
(3c)0/(c^(-3d)^5)²= 1/(c^(-3d)^5)²
.In other words, the expression can be written as
(1/c-3d5) * (1/c-3d5) = (1/c² - 6d5/c³ + 9d²25/c4).
This is because when we multiply 1/c^(-3d)^5 with 1/c^-3d^5, we will get
(1/c² - 6d5/c³ + 9d²25/c4) by using the formula
(a+b)² = a² + b² + 2ab.
Therefore, the answer is 1/(c^(-3d)^5)².
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Shawn wrote down the activities for his day on Saturday. In which situation will his activity result in a final value of zero? *
A. Shawn places four quarters in a jar of quarters which contains four quarters.
B. In the morning, Shawn added six hard candies to a jar which contained four hard candies. By the end of the day he ate ten candies from this jar.
C. Shawn starts out on the ground and then climbs ten feet on a ladder.
D. Shawn travels east ten feet and then travels south ten feet.
NO SCAM LINKS
Answer:
B
Step-by-step explanation:
B. In the morning, Shawn added six hard candies to a jar which contained four hard candies.
So he had 10 candies.
By the end of the day he ate ten candies from this jar.
Now he had 10-10 = 0, zero candies.
Answer:
B
Step-by-step explanation:
A 4+4=8
B 10-10=0
C 10'
D 10'E 10'S
Annie can walk 1/2 of a mile in 1/4 of an hour. How many miles can she walk in 2 1/2 hours if she walks at the same constant speed?
Answer:
She can walk 5 miles in 2 1/2 hours.
Step-by-step explanation:
1/4 of an hour means that 4/4 is 1 hour. If she can walk 1/2 of a mile in 1/4 of an hour, then 1/2 + 1/2 + 1/2 + 1/2 = 1 hour. 1/2 + 1/2 + 1/2 + 1/2 = 2 hours. To get 1/2 of an hour from 1/4 you need to add 1/4 by itself to get 1/2, so you have to add 1/2 + 1/2 to get 5 miles in 2 1/2 hours.
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I hope this helped you!
Answer:
She can walk 5 miles in 2 1/2 hours.1/4 of an hour means that 4/4 is 1 hour. If she can walk 1/2 of a mile in 1/4 of an hour, then 1/2 + 1/2 + 1/2 + 1/2 = 1 hour. 1/2 + 1/2 + 1/2 + 1/2 = 2 hours. To get 1/2 of an hour from 1/4 you need to add 1/4 by itself to get 1/2, so you have to add 1/2 + 1/2 to get 5 miles in 2 1/2 hours.
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Step-by-step explanation:
Find the missing angle.
Round to the nearest tenth.
B = 50°
b = 8
a = 10
A = [?]"
Answer:
73.2
Step-by-step explanation:
acellus
Answer:
The answer is 73.2 for Acellus people
Step-by-step explanation:
(x+3)(x-3)(3x+2) can you work this out please
Answer: 3x^3 + 2x^2 −27x −18
Step-by-step explanation below.
(x+3)(x−3)(3x+2)
=((x+3)(x−3))(3x+2)
=((x+3)(x−3))(3x)+((x+3)(x−3))(2)
=3x3−27x+2x2−18
=3x3+2x2−27x−18
Hope this helps!
Problem: Power Output. In each case, find your average power in watts. Assume that riding a bike burns 100 Calories per mile. If you ride at a speed of 20 miles per hour, what is your average power output, in watts?
The average power output of a bike rider at a speed of 20 miles per hour is 556 W
Given, Riding a bike burns 100 Calories per mile. Speed of riding a bike is 20 miles per hour. Power is a measure of the rate at which work is done over time.
Therefore, the formula for average power is given by,
P = W/t
Where, P is power, W is work and t is time.
Now, We know that riding a bike burns 100 Calories per mile, but we have to find out the work done.
So, work done = 100 Calories × distance traveled= 100 × 1.609 × 1000 = 160900 J
Time taken = distance/speed= 1.609/20 = 0.08045 hours
Putting values in the formula of power, we get,
P = W/t= 160900/0.08045= 1999999.9 J/hour
Converting hour to seconds,1 hour = 3600 seconds1 J/s = 1 watt1 J/hour = 1 / 3600 watt
Therefore, power = 1999999.9 / 3600= 555.5556 watts (approx)
Therefore, the average power output of a bike rider at a speed of 20 miles per hour is 556 W (approx). Answer: 556
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$10.00/8 slices is it a unit rate
no, its not a unit rate
the median age of the u.s. population in 1980 was 30.0 years. in 1991, the median age was 33.1 years. (a) what does it mean for the median age to rise? a rising median age in a population usually indicates that the population is becoming younger. a rising median age in a population usually indicates an aging population. a rising median age in a population usually indicates that more babies are being born. a rising median age in a population usually indicates a dying population. a rising median age in a population usually indicates that people are dying at a younger age. correct: your answer is correct. (b) give reasons why the median age could rise. (select all that apply.) the median age could rise due to an increase in deaths over time. the median age could rise due to a decrease in births over time. the median age could rise due to an increase in births over time. this trend could be observed if there were an increased lifespan and thus a decreased number of deaths. this trend could be observed if there were an increased lifespan and an increased number of deaths. incorrect: your answer is incorrect.
The options A,B,C are incorrect because the rise of population increase median also increases.
what is median ?
In statistics, the median is the middle value of a dataset when the values are arranged in order. Specifically, if the dataset has an odd number of values, the median is the middle value. If the dataset has an even number of values, the median is the average of the two middle values. The median is a measure of central tendency that is less affected by extreme values (outliers) than the mean.
Given by the question:
(a) A rising median age in a population usually indicates an aging population.
(b) The median age could rise due to a decrease in births over time, and this trend could be observed if there were an increased lifespan and thus a decreased number of deaths.
(c) In what ways might a rising median age affect a society? (Select all that apply.)
These are just a few examples, and the effects of a rising median age can be complex and varied depending on the specific circumstances of a society.
Therefore, The options A,B,C are incorrect because the rise of population increase median also increases.
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Solve the linear equation: 5 - x = (x/2)
Hi
5-x = (x/2)
5 = (x/2) +x
10 = x+2x
10 = 3x
10/3 = x
let's check :
5- 10/3 = 15/3 -10/3 = 5/3
(10/3) /2 =10/3 * 1/2 = 10/6 = 5*2/3*2 = 5/3
The first term of a sequence is 4.
1. Choose a growth factor and list the next 3 terms of a geometric sequence.
2. Choose a different growth factor and list the next 3 terms of a geometric sequence.
1. The sequence is 2, 8, 16, 32.
2. The sequence is 4, 16, 64, 256.
What is Sequence?A grouping of numbers in a specific order is known as a sequence. On the other hand, a series is described as the accumulation of a sequence's constituent parts.
For example, 3, 7, 11, 15, ... is a sequence as there is a pattern where each term is obtained by adding 4 to its previous term.
Given:
The first term of a sequence is 4.
1. let the common ratio 2.
Then, second term= 4 x 2= 8
third term = 8 x2 =16
fourth term = 16 x 2= 32
So, the sequence is 2, 8, 16, 32..
2. let the common ratio 4.
Then, second term= 4 x 4 = 16
third term = 16 x 4 = 64
fourth term = 64 x 4 = 256
So, the sequence is 4, 16, 64, 256.
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Nico uses a uniform probability model for an experiment using a deck of 40 cards. there are 10 blue cards, 10 red cards, 10 green cards, and 10 yellow cards in the deck. cards will be drawn one at a time and then replaced in the deck before another card is drawn. he uses the probability model to determine the probability of drawing a green card or a red card. what is p(green or red)? enter your answer as a simplified fraction in the box.
Answer:
1/2
Step-by-step explanation:
Since there are 40 cards in total and 10 cards for each colour...the probability of drawing either a green card or red card will be 20/40 since there a are 20 green and red cards combined
Therefore the probability is 1/2
Answer:
1/2
Step-by-step explanation:
Le Test a MoNdoo
Complete the following statement. Sales tax is an every day example of where______are used.
Answer:
Percent
Step-by-step explanation:
Sales tax is an additional amount of money you pay based on a percentage of the selling price of goods and services that are purchasd
What is the FV of $100 invested at 7% for one year (simple interest)? O $107 O $170 O$10.70 $10.07 k
The FV is $107 for the simple interest.
The formula to calculate simple interest is given as:
I = P × R × T
Where,I is the simple interest, P is the principal or initial amount, R is the rate of interest per annum, T is the time duration.
Formula to find FV:
FV = P + I = P + (P × R × T)
where,P is the principal amount, R is the rate of interest, T is the time duration, FV is the future value.
Given that P = $100, R = 7%, and T = 1 year, we can find the FV of the investment:
FV = 100 + (100 × 7% × 1) = 100 + 7 = $107
Therefore, the FV of $100 invested at 7% for one year (simple interest) is $107.
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Write an equation that represents the line.
use exact numbers.
Answer:
y = - 1/2x - 3.5
Step-by-step explanation:
it is possible to have a highly reliable measure of a concept that is at the same time not valid.
It is possible for a measure to be highly reliable but not valid.
How to find if it is possible to have a highly reliable measure of a concept that is at the same time not valid?Reliability refers to the consistency and stability of measurements, indicating that the measure produces consistent results over multiple administrations or across different raters.
On the other hand, validity refers to the extent to which a measure accurately assesses the intended construct or concept.
A measure can be reliable if it consistently produces the same results, even if those results do not accurately reflect the concept being measured.
For example, if a thermometer consistently shows a temperature reading that is consistently 5 degrees higher than the actual temperature, it is reliable (consistent) but not valid (accurate).
In research, it is crucial to strive for measures that are both reliable and valid to ensure accurate and meaningful results.
However, it is important to recognize that reliability and validity are separate properties, and a measure can have one without the other.
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(16/81×2/3) in lowest form
⚠️Pythagorean Theorem⚠️
‼️Urgent Help‼️
Find NX. PLs help with this problem !
Answer:
It i 5.Because it is Equlitrial triangle
explain what probability is
Answer:
Probability tells you the likelihood of an event happening
Please help meeee!!!!!!!!
Answer:
n = 17.5
Step-by-step explanation:
4*17.5 = 70
70 - 5 = 65
115 + 65 = 180
Have a nice day!
Answer:
17.5
Step-by-step explanation:
115+(4n-5) are a linear pair.
115+(4n-5)= 180
minus 115
4n-5=65
plus 5
4n=70
divide by 4
n= 17.5