Answer:
x = 4, y = 12
Step-by-step explanation:
xy = -16
y = x + 8
substitute y = x + 8 into xy = -16
x(x + 8) = -16
x^2 +8x + 16 = 0
x = 4
sub x = 4 into y = x + 8
y = 4 + 8
y = 12
A person invested \$5,600$5,600 in an account growing at a rate allowing the money to double every 6 years. How long, to the nearest tenth of a year would it take for the value of the account to reach \$72,500$72,500?
Answer:
22.2 years
Step-by-step explanation:
Doubling formula is given as:
P(t) = Po × (2)^t/k
Where
Po = Initial amount invested = $5600
P(t) = Amount after time t = $72500
k = Time it takes to double = 6 years
t = Time in years = ??
Hence:
72500 = 5600 × (2)^t/6
Divide both sides by 5600
72500/5600 =( 5600 × (2)^t/6)5600
12.946428571 = (2)^t/6
Take the In of both sides
In 12.946428571 = In (2)^t/6
In 12.946428571 = t/6 In (2)
Divide both sides by In 2
In 12.946428571/In 2 = t/6
3.6944822628 = t/6
Cross Multiply
t = 6 × 3.6944822628
t = 22.166893577 years
Approximately
t = 22.2 years
Therefore, it would take 22.2 years
Simplify:-
[tex]x {}^{2} - 5x + 6 \div x {}^{2} +3x - 10 \\ [/tex]
Guys help me please.
Step-by-step explanation:
[tex] = {x}^{2} \div {x}^{2} + 3x - 5x + 6 - 10 \\ = 1 - 2x - 4 \\ = - 2x - 4 + 1 \\ = - 2x - 3 \\ = - 1(2x + 3)[/tex]
HI,HOPE THAT IS HELPFUL.
A monument outside city hall has dimensions as shown in the figure below. If one gallon of paint can cover 202 ft^2 , how many gallons of paint must be bought in order to paint the monument? Assume that the base of the monument cannot be painted and that paint can be bought only by the gallon.
Answer:
10 gallons
Step-by-step explanation:
Area of one rectanglular side
10 * 44 = 440
Area of trangular one triangular "roof"
(1/2)10 * 9 = 45
Total area = 4(440 + 45) = 1,940
---------------------------
Paint needed
1940 / 202 = 9.6
10 gallons
Write a polynomial function in standard form
-6,0,0,2
2) Julie wants to purchase swim lessons for her son. There are four different stores that offer swim lessons. Based on the lowest cost per minute, which store has the BEST deal ?
Store A: $25 for a 45 minute lesson, Store B: $30 for a 1 hour lesson, Store C: $45 for a 1.5 hour lesson, and Store D: $80 for three 1 hour lessons
Store C offers the best deal
Based on the lowest cost per minute, Store C has the best deal. It charges $45 for a 1.5 hour lesson, which works out to $0.30 per minute. The other stores charge more per minute: Store A charges $0.56 per minute, Store B charges $0.50 per minute, and Store D charges $0.40 per minute for each of the three 1 hour lessons.
Store A has the highest cost that is $0.56 per minute
Next Store B comes in the 2nd place which costs around $0.50 per minute.
After that Store D charges at the rate of $0.40 per minute.
Store C offers the best deal which is $0.30 per minute.
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Jayden was excited to get his test back for his
parents to sign He scored a 105%. He
received the extra 5 points for showing his work.
Which decimal represents his test score?
Answer:
1.05
Step-by-step explanation:
100% is 1.0, therefore 105% will be 1.05.
Explanation:
Think of 105% as 105.0%
Now remove the percent sign to get 105.0
Lastly, move the decimal point two spots to the left to get to 1.05
Percentages that are over 100% convert to decimal values larger than 1; on the flip side, percentages that are under 100% are between 0 and 1.
More Examples:
76% = 0.76
18% = 0.18
255% = 2.55
Ms. Marcus estimates that 330 people will attend the school play. There was an actual total of 400 people who attended the school play. Find the percent of error.
Answer:
17.5%
Step-by-step explanation:
Subtract one value from the other. (i does not matter the sign)
400 − 330 = 70, so his error is 70
Now find the Percentage Error:
Divide by the exact value and make it a percentage:
70/400 = 0.175 = 17.5%
make a 10 by 10 grid and show a model of 52%
Answer:
Step-by-step explanation:
52% would be 100% - 48%. If you do make a 10 by 10 grid, you would shade half the grid (e. g., share the lower 5 rows of 10 squares each) PLUS shade 2 more white squares, for a total of 52 shaded squares.
During a sale at the market, steaks sold for $2 and watermelons sold for $1.50. Declan spent $10 and bought a total of 6 steaks and watermelons. How many of each did he buy?
Answer:
Step-by-step explanation:
During a sale at the market, steaks sold for $2 and watermelons sold for $1.50. Declan spent $10 and bought a total of 6 steaks and watermelons. How many of each did he buy?
Let us represent
Steaks = x
Water melons = y
Our system of equations is given as:
x + y = 6.. Equation 1
x = 6 - y
During a sale at the market, steaks sold for $2 and watermelons sold for $1.50.
$2× x + 1.5 × y = $10
2x + 1.5y = 10... Equation 2
Substitute
2(6 - y) + 1.5y = 10
12 - 2y + 1.5y = 10
12 - 10 = 2y - 1.5y
2 = 0.5y
y = 2/0.5
y = 4
Meant this question sorry.
A survey was given to a random sample of 195 residents of a town to determine whether they support a new plan to raise taxes in order to increase education spending. Of those surveyed, 117 respondents said they were in favor of the plan. Determine a 95% confidence interval for the proportion of people who favor the tax plan.
Answer:
(0.5415 ; 0.6785)
Step-by-step explanation:
Sample size, n = 195
Number of samples who werw in favor, x = 117
Phat = 117 / 195 = 0.609 = 0.61
The confidence interval :
Phat ± Margin of error
Margin of Error = Zcritical * √(phat(1-phat)/n)
Zcritical at 95% = 1.96
1 - phat = 1 - 0.61 = 0.39
Margin of Error = 1.96 * √((0.61*0.39)/195) = 0.0685
Confidence interval :
Lower boundary : 0.61 - 0.0685 = 0.5415
Upper boundary : 0.61 + 0.0685 = 0.6785
(0.5415 ; 0.6785)
480 over 840 turning it into the lowest term
Answer:
The fraction 480/840 can be reduced to its lowest terms by dividing the numerator and denominator of the fraction by their greatest (highest) common factor (divisor), gcf (hcf, gcd). This results in a reduced fraction of 4/7.
Step-by-step explanation:
What is the equation of the circle?
Also no links please
Answer:
(x - 3)^2 + (y + 2)^2 = 2^2.
What is the center of a circle (x y) with the equation (x + 3)^2 + (y − 5)^2 = 16
Step-by-step explanation:
the center of the circle is (−3,5) and radius is 16 =
If r || s, then which angles must be congruent (geometry)
Order these numbers from least to greatest.
8 17/20
222/25
8.859
8.73
Answer:
8.73, 8 17/20, 8.859, 222/25
Hope this helps!
these ar the numbers and i need the ratio
thank you!
help me please its due tomorrow !!!!!!!!!!
help please
ill get in trouble!!!!
Answer:
1:3
Step-by-step explanation:
Express in the form 1: n.
Give n as a decimal.
16 : 12
You start driving west for 5 miles, turn left, and drive south for another 8 miles. At the end of driving, what is your straight line distance from your starting point? Round to the nearest tenth of a mile.
Answer: 9.4
Step-by-step explanation: plug it into Pythagorean Theorem equation
The straight line distance from your starting point if You start driving west for 5 miles, turn left, and drive south for another 8 miles is 9.4 miles.
What is the right-angled triangle?A triangle whose one is 90 degrees is considered a right-angled triangle. Pythagoras' theorem is applied only to the right-angled triangle.
Given:
The distance to the west, W = 5 miles,
The distance to the south, S = 8 miles,
As it will make a right-angle triangle, so by using Pythagoras' theorem the hypotenuse will be the straight line distance from the starting,
Straight Distance = [tex]\sqrt{W^2 + S^2}[/tex]
Substitute the values,
Straight Distance = [tex]\sqrt{5^2 + 8^2}[/tex]
Straight Distance = 9.4 miles
Therefore, the straight line distance from your starting point if You start driving west for 5 miles, turn left, and drive south for another 8 miles is 9.4 miles.
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Solve using the quadratic formula. Show all work. Write each solution in simplest form. No decimals.
The slope of a line that is perpendicular to y = -1 is not defined.
True
False
Answer:
True
Step-by-step explanation:
TRUE. y = -1 is a horizontal line. A line perpendicular to this horizontal line is a vertical line whose slope is not defined.
What are the first 3 triangular numbers?
The depiction of numbers as an equilateral triangle organized in a series is known as a triangular number sequence. These numerals follow a 1, 3, 6 order.
Explain the term triangular numbers?A number that may be expressed as the sum of the initial n positive integers is referred to as a triangular number.
For instance, the fact that 6 may be expressed as 1+2+3, being sum of the initial three positive integers, indicates that it is a triangular number. If one takes the sum of the initial positive integer to be the first element, then sum of the earliest two positive integers to be the second element, then so on, triangular numbers comprise a sequence. In this scenario, n signifies the position of such a triangular number with in sequence if a number equals the sum of the initial n positive integers. Triangles can be formed from triangular numbers.Thus, the first three triangular numbers 1, 3, 6.
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PLEASE HELP!!! WILL MARK AS BRAINLISTS!!!
PLEASE HELP!!! WILL MARK AS BRAINLISTS!!!
PLEASE HELP!!! WILL MARK AS BRAINLISTS!!!
PLEASE HELP!!! WILL MARK AS BRAINLISTS!!!
PLEASE HELP!!! WILL MARK AS BRAINLISTS!!!
PLEASE HELP!!! WILL MARK AS BRAINLISTS!!!
PLEASE HELP!!! WILL MARK AS BRAINLISTS!!!
PLEASE HELP!!! WILL MARK AS BRAINLISTS!!!
The limit is x---->4-
The negative show that x approaches from the left
Now
As x approaches 4 from the left ... Means This number should be less than 4 (<4) but really close to 4.
Let's pick a Number
Say 3.99
Substitute this... You have
3.99/3.99-4
3.99/-0.01
If we choose x to be 3.999
we will have
3.999/-0.001
Notice the pattern... As x approaches 4 from the left... This limit will approach NEGATIVE INFINITY
Why?
As you approach 4 from the left... 3.9,3.99,3.999... You notice that the denominator becomes negative and EXTREMELY SMALL... and when you divide by an extremely small Number..... You'll get a relatively HUGE VALUE(You can try this... Use a calc... Divide any number of choice by a very small number... say.. 0.0000001.... You'll get a huge result
In our case... The denominator is negative... So it Will Approach a very Huge Negative Number
Hence
Answer.. X WILL APPROACH NEGATIVE INFINITY.
Vertical asymptotes are the zeroes of the denominator of a function
The denom. is x-4
Equate to zero to get the asymptote
x-4=0
x=4
Hence... There will be a vertical asymptote at x=4.
Have a great day!
Answer: -3
Step-by-step explanation: x divided by x = 1 and 1 - 4 = -3
Somebody please help
Answer:
22 in OR B
Step-by-step explanation:
Solve 345°=
Please help me ASAP
the due date of my assignment is tomorrow
The answer to ur question is 1
Chelsea wants to determine the number of people in her school who read news reports on the Internet daily. She asks five people in her language arts class. Which improvements could Chelsea make to her sample to increase the validity of the results
The three choices are increase the sample size, pick individuals from various grade levels and in all language arts classes, pick the fourth student.
what is sample size?
The number of observations utilized to calculate estimates for a given population is referred to as the sample size. From the population, a sample size was chosen. The term "sample size" describes the number of subjects or observations that make up a study. n is typically used to represent this number.
The three choices are increase the size of the sample, pick individuals from various grade levels and in all language arts classes, pick the fourth student.
It's important to take into account the following data:
The sample size should be raised in order to boost the result validity, The students should be chosen from among the various grade levels and For all language kinds, a student should be chosen every fourth student.
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Can somebody help me solve this equation? Thanks.
Answer:
15w^2
Step-by-step explanation:
The reason being is note how it says portrait, so assume the shape of a square, because it says 3 inches on all sides, and it also mentioned 1.5 times w, so in turn, 15w^2
Refer to the attached image.
Please help me on this :/
Answer:
4. obtuse
5. right
6. obtuse
6. acute
Step-by-step explanation:
4. not a triangle, 2+4 = 6
5. 100 + 576 = 26^2 -> right
6. 8, 16 < 36 -> obtuse
7. 43.6 > 42.25 -> acute
Please hurry its timed
The correct option regarding the high tide and the low tide is given as follows:
B. high tide at 6 a.m. and 6 p.m., depth of 28 ft.
low tide at 12 midnight and 12 noon, depth of 20 ft.
What is the definition of the cosine function?The cosine function is defined as follows:
g(x) = acos(bx+c)+d.
The coefficients have these following roles:
a: amplitude.b: The period is of 2π/B.c: phase shift.d: vertical shift.The amplitude for this problem is of 4, with a vertical shift of 24, hence the low and high tides are given as follows:
Low: -4 + 24 = 20 ft.High: 4 + 24 = 28 ft.The function is reflected over the x-axis, due to the multiplication by the negative number, hence the low tide is at midnight.
The period of the function is given as follows:
2π/(π/6) = 12 hours.
Thus the low tide also happens at noon, meaning that option B is correct.
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What is the value of v?
Answer: v = 100
Step-by-step explanation:
v+15 = v-37 + v-48
v + 15 = 2v - 85
85 + 15 = 2v - v
100 = v