Answers
Related Questions
In 2000 the population of a city was 588292 people. in 2002 the population of the city increased to 599656, what is the population in 2008
Answers
((599,656 - 588,292) / 588,292) * 100 = 1.93%
Applying the rate every two years, here's what get:
2000: 588,292
2002: 599,656
2004: 611,240
2006: 623,047
2008: 635,082
Which of the following represents a physical change to matter?
A. combustion of carbon to form carbon dioxide B. rusting C. melting a stick of butter D. separating hydrogen gas from water,
Answers
What Is The Value Of n So That The Expression
X² + 12 x + n Is A Perfect Square Trinomial ?
( 1 Point )
A . 36
B . 36
C . 72
D . 144,
Answers
Given is the expression, x² + 12x + n
It says to find value of 'n' that converts it into a Perfect Square Trinomial.
A perfect square trinomial is a quadratic expression which has a single root with multiplicity 2. i.e. it is of the form :- x² + 2bx + b² = (x + b)²
On comparing it with the given expression, we get :-
So 2b = 12 and n = b²
b = 6
and so b² = 6² = 36.
⇒ n = 36
Hence, x² + 12x + 36 = (x + 6)² i.e. n = 36 is the final answer.
In the figure, TU is tangent to the circle at point U. Use the figure to answer the questions.
(a) Describe the relationship among the lengths of the segments formed by the secant, RT, and the tangent segment, TU. You may used words and/or an equation.
(b) Suppose RT = 9 in. and ST = 4 in. Is it possible to find the length of TU? If so, show how to find the length. If not, explain why not.
Thanks in advance. I appreciate the help. I'm still not that good at questions like this one.
Answers
[tex]rs \times st = tu {}^{2} [/tex]
(b)
yes it is possible the formula is in part a, but we're given just the side rt and st, not rs, but not to worry we can get rs with subtraction. we can do 9-4=5 for rs. now we can plug in our values to find tu
[tex]5 \times 4 = tu {}^{2} [/tex]
simplify with algebra
[tex] \sqrt{20} = tu[/tex]
FINAL ANSWER
[tex]2 \sqrt{5} = tu[/tex]
The lengths of segments in the circle are determined by the tangent-secant theorem. Given RT = 9 inches and ST = 4 inches, we can use this theorem to find that TU will be approximately 8.06 inches.
Explanation:In this complex geometry problem involving circles and tangents, there are several relationships at play. You're looking at a circle that has a secant, RT, and a tangent, TU, creating several segments within the figure.
(a) According to the tangent-secant theorem, the squared length of the tangent segment is equal to the difference in the squared lengths of the entire secant and its external part. This can be expressed mathematically as TU² = RT² - ST².
(b) We can use this theorem with the given lengths for RT and ST to find the length of TU. Plugging in, we get TU² = 9² - 4² = 65. The length of TU is the square root of this, which is approximately 8.06 inches.
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The length of a rectangle is 2 ft longer than its width. if the perimeter of the rectangle is 32 ft , find its area.
Answers
Final answer:
To find the area of the rectangle, first solve for the width using the perimeter formula. The width is found to be 7 ft. Then calculate the length as w + 2, which is 9 ft. The area is the product of length and width, resulting in 63 square feet.
Explanation:
To solve this problem, we need to set up equations based on the information given about the rectangle's dimensions and the perimeter.
Step 1: Define Variables
Let w be the width of the rectangle in feet. Consequently, the length l will be w + 2 feet, since the length is 2 feet longer than the width.
Step 2: Perimeter Equation
The perimeter (P) of a rectangle is given by 2(l + w). We can use the perimeter given (32 ft) to create an equation: 2(w + w + 2) = 32.
Step 3: Solve for w
Combine like terms and divide both sides by 2 to find w:
4w + 4 = 32
w = 7 ft.
Step 4: Find l
The length is w + 2, which is 7 ft + 2 ft = 9 ft.
Step 5: Calculate Area
The area of a rectangle is l × w. Therefore, the area is 9 ft × 7 ft = 63 square feet.
The velocity of a 150 kg cart changes from 6.0 m/s to 14.0 m/s. What is the magnitude of the impulse that acted on it?
(Points : 1)
900 kgm/s
1,200 kgm/s
3,000 kgm/s
2,100 kgm/s
Answers
Triangle ABC has vertices at A(3, 8) , B(11, 8) , and C(7, 12) . Triangle FGH has vertices at F(8, 4) , G(16, 4) , and H(12, 8) . Which sequence of transformations shows that triangle ABC and triangle FGH are congruent? Select each correct answer. Translate triangle ABC down 4 units, and then translate triangle ABC right 5 units. Translate triangle FGH down 4 units, and then translate triangle FGH left 5 units. Translate triangle FGH up 4 units, and then translate triangle FGH left 5 units. Translate triangle ABC down 4 units, and then translate triangle ABC left 5 units.
Answers
A - (3, 8)
B - (11, 8)
C - (7, 12)
vertices of ΔFGH
F - (8, 4)
G - (16, 4)
H - (12, 8)
after a translation the size nor shape of the triangle changes, every point of the triangle moves the same distance in the same direction.
if we take point A and F
x coordinates of A = 3 and F = 8
the change that has happened can be noted as 'm'
3 + m = 8
m = 5
this means that the point has moved 5 units to the right
y coordinates of A = 8 and F = 4
change that happened is 'n'
8 + n = 4
n = -4
this means that point has moved 4 units downwards
Therefore the correct answer is Translate triangle ABC down 4 units, and then translate triangle ABC right 5 units
This the answer hope it helps!!
Matt's Ice Cream Shoppe has 7 cups of sprinkles to use on sundaes for the rest of the day. If each sundae is served with
1/8
cup of sprinkles, how many sundaes can they serve?
Answers
Answer: Matt's Ice Cream Shoppe can serve 56 Sundaes
Hope this helps
| |
U
The number of sundaes they can serve with 7 cups of sprinkles is 56.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given that, Matt's Ice Cream Shoppe has 7 cups of sprinkles to use on sundaes for the rest of the day.
Number of sundaes = Total quantity of sprinkles/Number of cups of sprinkles in each serving
= 7÷ 1/8
= 7×8
= 56
Therefore, the number of sundaes they can serve with 7 cups of sprinkles is 56.
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Solve 3x - 4 ≤ 2 or 2x + 11 ≥ -1.
Answers
3x <= 6
x <= 2
2x+ 11 >= -1
2x >= -11
x >= -5.5
Solution is -5.5 =< x <= 2 .
In interval notation that is [-5.5, 2]
Answer:
[All reals]............
What is the sum of the geometric series rounded to the nearest whole number?
A.4
B.0
C.2
D.3
Answers
Answer:
Option A. [tex]4[/tex]
Step-by-step explanation:
we know that
The sum of a geometric series is equal to
[tex]Sum=a(\frac{1-r^{n}}{1-r})[/tex]
where
a is the first term
r is the common ratio
n is the number of terms
In this problem we have
[tex]a=2,r=0.5,n=16[/tex]
substitute the values
[tex]Sum=2(\frac{1-0.5^{16}}{1-0.5})=4[/tex]
ALGEBRA 2 FOR JIMTHOMPSON!
Answers
(a) Let x be the variable. The variable will stand for the number of additional minutes used (in addition to the minutes built into the default plan). For example, if x = 10, then Allegra used 10 additional minutes on top of what her plan allows. If x = 0, then Allegra simply pays the $65 without any extra charge.
(b) The equation is 0.10x+65 = 73.40; the 65 represents the fixed cost of 65 dollars per month regardless of how many additional minutes you use. Then you add on 0.10x on top of that to get the total 0.10x+65, which is set equal to 73.40 as this is the given bill for this particular month.
(c) Solve the equation from part (b) to get...
0.10x+65 = 73.40
0.10x+65-65 = 73.40-65
0.10x = 8.40
0.10x/0.10 = 8.40/0.10
x = 84
(d) Allegra used 84 additional minutes as this is the solution to the equation mentioned in part (b) and solved in part (c). To check the answer, simply replace x with that value
0.10x+65 = 73.40
0.10x*84+65 = 73.40
8.4+65 = 73.40
73.40 = 73.40
The answer checks out
====================================
Problem 2
P = principal (amount deposited)
i = interest only
r = interest rate in decimal form
t = time in years
We are given the following:
i = 2800
r = 0.04 (decimal version of 4%)
t = 3.5
and we want to solve for P
i = P*r*t
2800 = P*0.04*3.5
2800 = P*0.14
2800 = 0.14P
2800/0.14 = 0.14P/0.14
20000 = P
P = 20000
Andrea should deposit $20,000 into the account (to earn $2,800 after 3.5 years; where the interest rate is 4%)
====================================
Problem 3
|4x-8| - 3x = 6x+2
|4x-8| - 3x+3x = 6x+2+3x
|4x-8| = 9x+2
4x-8 = 9x+2 or 4x-8 = -(9x+2)
4x-8 = 9x+2 or 4x-8 = -9x-2
9x-4x = -8-2 or 9x+4x = -2+8
5x = -10 or 13x = 6
x = -10/5 or x = 6/13
x = -2 or x = 6/13
The two possible solutions are:
x = -2 or x = 6/13
However, x = -2 does not work since
|4x-8| - 3x = 6x+2
|4(-2)-8| - 3(-2) = 6(-2)+2
|-8-8| + 6 = -12+2
|-16| + 6 = -10
16 + 6 = -10
22 = -10
which is false
Luckily, x = 6/13 does work and I'll leave that as an exercise to have you check it.
In short, the only answer is x = 6/13
how is the graph of y=-1/2(5)^x-3 translated from the graph of y=1/2(5)^x
Answers
The transformation of [tex]y = -\frac12(5)^{x-3[/tex] to [tex]y = \frac12(5)^{x[/tex] is reflection across the x-axis followed by a shift to the left by 3 units
Describing the transformation of f(x) to g(x).
From the question, we have the following parameters that can be used in our computation:
[tex]y = -\frac12(5)^{x-3[/tex]
[tex]y = \frac12(5)^{x[/tex]
Rewrite them as
[tex]f(x) = -\frac12(5)^{x-3[/tex]
[tex]g(x) = \frac12(5)^{x[/tex]
From the above, we have that
f(x) is first reflected across the x-axis
This is represented by the loss of negative factor in g(x)
Then f(x) is shifted left by 3 units
This is represented by the loss of -3 in g(x)
Hence, the transformation of f(x) to g(x) is reflection across the x-axis followed by a shift to the left by 3 units
Which rigid transformation does NOT result in a reversed orientation of the original image? Justify your answer
Answers
Hope that helped :)
D) T(x,y) = (x, y - 2); The transformation slides the original image a given distance in a given direction. Is the CORRECT answer
Find the volume of a cone?
Answers
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Hope this helps!
Megan predicts she will sell 42 glasses of lemonade this weekend. If Megan actually sold 58 glasses of lemonade, what was Megan's percent error? Round your answer to the nearest tenth of a percent.
Answers
Megan's percent error is approximately 27.6%.
Megan's percent error can be calculated by finding the absolute difference between her predicted value and actual value, dividing that by the actual value, and then multiplying by 100 to get a percentage.
Calculate the absolute difference:
|58 - 42| = 16.
Find the percent error:
(16 / 58) × 100 ≈ 27.6%.
Arnold's company reimburses his expenses on food, lodging, and conveyance during business trips. The company pays $40 a day for food and lodging and $0.50 for each mile traveled. Arnold drove 400 miles and was reimbursed $2600. Part A: Create an equation that will determine the number of days x on the trip (3 points) Part B: Solve this equation justifying each step with an algebraic property of equality. (6 points) Part C: How many days did Arnold spend on this trip? (1 points)
Answers
Part A. We now know that the total cost of the miles the company have to pay to Arnold is $200. We also know the company pays him $40 a day for food and lodging. So let [tex]x[/tex] represent the number of days of Arnold's business trip:
[tex]y=40x+200[/tex]
where
[tex]y[/tex] is the amount the company will reimburse Arnold after [tex]x[/tex] days.
[tex]x[/tex] is the number of days.
Part B. We know that the amount the company will reimburse Arnold is $2600, so [tex]y=2600[/tex]. Lets replace that value in our equation and solve for [tex]x[/tex] to find the number of days:
[tex]y=40x+200[/tex]
[tex]2600=40x+200[/tex]
The first thing we are going to do to solve our equation is subtract 200 to both sides using the subtraction property of equality:
[tex]2600-200=40x+200-200[/tex]
[tex]2400=40x[/tex]
Next, we are going to divide both sides of the equation by 40, using the division property of equality, to find the value of [tex]x[/tex]:
[tex] \frac{2400}{40} = \frac{40x}{40} [/tex]
[tex]60=x[/tex]
Finally, we can use the reflexive property of equality to get:
[tex]x=60[/tex]
Part C. We can conclude that Arnold spend 60 days in his business trip.
the hoop rotates through qan angle of 3/2 pie radian in 1 second how many revolutions does the hoop make in 1 minute
Answers
so, we know it does 3/2 π in 1 second, how many π does it do in 60 seconds(1 minute) ?
[tex]\bf \begin{array}{ccll} radians&seconds\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ \frac{3\pi }{2}&1\\\\ r&60 \end{array}\implies \cfrac{\frac{3\pi }{2}}{r}=\cfrac{1}{60}\implies \cfrac{\frac{3\pi }{2}}{\frac{r}{1}}=\cfrac{1}{60}[/tex]
[tex]\bf \cfrac{3\pi }{2}\cdot \cfrac{1}{r}=\cfrac{1}{60}\implies \cfrac{3\pi }{2r}=\cfrac{1}{60}\implies \cfrac{3\pi \cdot 60}{2}=r\implies 90\pi =r\\\\ -------------------------------\\\\ \textit{how many times }2\pi \textit{ goes into }90\pi ?\qquad \cfrac{90\pi }{2\pi }\implies 45[/tex]
simple interest = P × r × t
Joe borrowed $900 from Sam for six months. How much will Sam earn if he charges Joe a simple interest rate of 4 percent?
Answers
Answer:
$18.
Step-by-step explanation:
We have been given that Joe borrowed $900 from Sam for six months. The interest rate charged by Sam is 4%.
We will use Simple interest formula to solve our given problem.
[tex]I=PrT[/tex], where,
[tex]I=\text{Simple interest}[/tex],
[tex]P=\text{Principal amount}[/tex],
[tex]r=\text{Interest rate in decimal form}[/tex],
[tex]T=\text{Time in years}[/tex].
Let us convert our given rate in decimal form.
[tex]4\%=\frac{4}{100}=0.04[/tex]
12 months = 1 year.
1 month = 1/12 year.
6 months = 6/12 year = 1/2 year = 0.5 year.
Upon substituting our given values in simple interest formula we will get,
[tex]I=900*0.04*0.5[/tex]
[tex]I=900*0.02[/tex]
[tex]I=18[/tex]
Therefore, Sam will earn $18 if he charge Joe a simple interest rate of 4 percent.
Jane and Ron have combined annual gross earnings of $31,850. What is the
maximum amount they should consider spending for the purchase of a
house?
a. $79,625
b. $53,000
c. $31,850
d. $63,700
ANSWER ASAP WITH EXPLANATION
Answers
Mrs. McDonnell is making 25 paper cones to fill with popcorn for her daughter's birthday party. 4 inches 7 inches Find the volume of one paper cone if the diameter is 4 inches and the height is 7 inches. Round your answer to the nearest cubic inch.
Answers
The formula for the volume of a cone is V=(1/3)πr²h. Substituting our information we have:
V=(1/3)(3.14)(4/2)²(7)
We divide the diameter by 2 because the radius is half of the diameter. This gives us:
V=1/3(3.14)(28) = 29.306 ≈ 29in³
The volume of one paper cone if the diameter is 4 inches and the height, is 7 inches is equal to 29in³.
We have given that,
Mrs. McDonnell is making 25 paper cones to fill with popcorn for her daughter's birthday party.
The volume of one cone would be 29 in³.
What is the formula for the volume of a cone?The formula for the volume of a cone is V=(1/3)πr²h.
Substituting our information we have:
V=(1/3)(3.14)(4/2)²(7)
We divide the diameter by 2 because the radius is half of the diameter. This gives us:
V=1/3(3.14)(28)
V= 29.306
V≈ 29in³
Therefore the volume of one paper cone if the diameter is 4 inches and the height, is 7 inches is equal to 29in³.
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Sam cut a flat wooden board into fourths. He used three of the pieces as backgrounds for posters. He used equal pieces of the leftover board as backgrounds for 5 photos. What fraction of the original board did he use for each photo background? Enter your answer in the boxes.
Answers
If you used 3 of these, you are left with 1/4.
Out of the 1/4 leftover, you create 5 equal-sized pieces.
1/4 divided by 5.
1/4 x 1/5 = 1/20 of the original board for each.
The amplitude of y = -3sin(x) is _____.
Answers
Amplitude: A = 3
For this case what you can do are two methods to find the amplitude.
Method 1:
Graph the function to see the zero-peak behavior of the function.
Method 2:
A = absolute value (-3)
A = 3
Note:
Using method 1 we see that the zero-peak amplitude is 3.
Answer:
A = 3
John wants to build a corral next to his barn. He has 300 feet of fencing to enclose three sides of his rectangular yard.
a. What is the largest area that can be enclosed?
b. What dimensions will result in the largest yard?
Answers
x = width
300 - 2x = long
The area will be:
A = (x) * (300 - 2x)
A = 300x - 2x²
We look for the maximum area, for this, we derive:
A '= 300 - 4x
We match zero:
0 = 300 - 4x
x = 300/4 = 75
Therefore, the width is:
x = 75 feet
The length is:
300 - 2x = 300 - 2 (75) = 300-150
150 feet
Answer:
Part A:
The maximum area will be:
A = (150) * (75) = 11250 square feet
Part B:
The dimensions are:
Length = 150 feet
width = 75 feet
Line VW is to be drawn on the graph such that it is perpendicular to line . If the coordinates of point W are (–1, y), what is the value of y?
Y=
Answers
Since the lines are to be perpendicular, that means that their slopes must be negative reciprocals of each other.
First we find the slope of line ST. The formula for slope is:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Substituting our coordinates (using point T as point 2 and point S as point 1), we have:
[tex]m=\frac{2-0}{5--5}=\frac{2-0}{5+5}=\frac{2}{10}=\frac{1}{5}[/tex]
Since the slope of line VW must be the negative reciprocal of 1/5, it would be -5/1=-5.
The coordinates of V are (-2, 0). Using V as point 1 and W as point 2, in our slope formula for this line we have:
[tex]-5=\frac{-2-y}{0--1}=\frac{-2-y}{0+1}=\frac{-2-y}{1}=-2-y \\ \\-5=-2-y[/tex]
Add 2 to both sides:
-5+2=-2-y+2
-3=-y
Divide both sides by -1:
-3/-1=-y/-1
3=y
The value of y is 3
Further explanationSolving linear equation mean calculating the unknown variable from the equation.
Let the linear equation : y = mx + c
If we draw the above equation on Cartesian Coordinates , it will be a straight line with :
m → gradient of the line
( 0 , c ) → y - intercept
Gradient of the line could also be calculated from two arbitrary points on line ( x₁ , y₁ ) and ( x₂ , y₂ ) with the formula :
[tex]\large {\boxed {m = \frac{y_2 - y_1}{x_2 - x_1}} }[/tex]
If point ( x₁ , y₁ ) is on the line with gradient m , the equation of the line will be :
[tex]\large {\boxed {y - y_1 = m ( x - x_1 )} }[/tex]
Let us tackle the problem.
Firstly , we will calculate the gradient of the line that passes through the point S( -5 , 0 ) and T( 5 , 2 ) .
[tex]m_{ST} = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m_{ST} = \frac{2 - 0}{5 - (-5)}[/tex]
[tex]m_{ST} = \frac{2}{10}[/tex]
[tex]\large {\boxed {m_{ST} = \frac{1}{5} } }[/tex]
Next , we will calculate the gradient of the line that passes through the point V( 0 , -2 ) and W( -1 , y ) .
[tex]m_{VW} = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m_{VW} = \frac{y - (-2)}{-1 - 0}[/tex]
[tex]\large {\boxed {m_{VW} = \frac{y + 2}{-1} } }[/tex]
The conditions of the line perpendicular to each other will satisfy the following formula.
[tex]m_{ST} \times m_{VW} = -1[/tex]
[tex]\frac{1}{5} \times \frac{y + 2}{-1} = -1[/tex]
[tex]\frac{y + 2}{-5} = -1[/tex]
[tex]y + 2 = -5 \times -1[/tex]
[tex]y + 2 = 5[/tex]
[tex]y = 5 - 2[/tex]
[tex]\large {\boxed {y = 3} }[/tex]
Learn moreInfinite Number of Solutions : https://brainly.com/question/5450548System of Equations : https://brainly.com/question/1995493System of Linear equations : https://brainly.com/question/3291576Answer detailsGrade: High School
Subject: Mathematics
Chapter: Linear Equations
Keywords: Linear , Equations , 1 , Variable , Line , Gradient , Point
HELP!!! Which of the following completes the statements of proof?
Answers
Also:
angle 3=angle 1
angle 3+angle 4 = 180 degrees
angle 1+angle 4 = 180 degrees
A police officer earned $932 a week last year. What was his yearly salary?
A. $50,328
B. $49,396
C. $47,532
D. $48,464
Answers
52 week = 932 x 52 = $48 464 (Answer D)
__________________________________________
Note:
__________________________________________
1 yr = 52 wk ;
($ 932 / wk) * (52 wk) = $ 932 * 52 = $ 48, 464 ;
__________________________________________
→ which is: Answer choice: [D]: " $ 48, 464 " .
__________________________________________
Medal to correct answer!!
A game of "Doubles-Doubles" is played with two dice. If a player rolls doubles, the player earns 3 points and gets another roll. If the player rolls doubles again, the player earns 9 more points. How many points should the player lose for not rolling doubles in order to make this a fair game?
3/5
27/35
9/10
1
Answers
The probabilities are the following:
one double= 5/36
two doubles =1/36
no doubles = 1/6
The formula will be,
12/36 + 5[(3-x)/36] - (5)(x/6) = 0
x=27/35
The answer will be 27/35
Step-by-step explanation:Probability is the number of outcomes out of total outcomes present or the extent to which something is likely to happen. In the given problem there are two dices which means there are total 36 outcomes because each dice has 6 sides. So the probability of the given case will be
Probability of getting two doubles on both dice = 1/36
Probability of getting just one double = 5/36
Similarly
Probability of getting no doubles on both dice is = 5/6.
So in order to find the probability we add the products of the probabilities and solve:
12/36 + 5*(3-x)/36 - 5*x/6 = 0
x = 27/35
Which simply means the player should lose 27/35 points for not rolling a double.
to compute how one currency compared to another you must use the
1. negotiated rate
2.exchange rate
3. agreement rate
or 4.bartered rate
im guessing its the exchange rate right ?,
Answers
Find the solution set. (x+9) (x+9) = 0
Answers
Answer:
The solution set is [tex]x=-9[/tex]
Step-by-step explanation:
we have
[tex](x+9)(x+9)=0[/tex]
we know that
[tex](x+9)(x+9)=x^{2}+18x+81[/tex]
so
[tex]x^{2}+18x+81=0[/tex]
The formula to solve a quadratic equation of the form [tex]ax^{2} +bx+c=0[/tex] is equal to
[tex]x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}[/tex]
in this problem we have
[tex]x^{2}+18x+81=0[/tex]
so
[tex]a=1\\b=18\\c=81[/tex]
substitute in the formula
[tex]x=\frac{-18(+/-)\sqrt{18^{2}-4(1)(81)}} {2(1)}[/tex]
[tex]x=\frac{-18(+/-)\sqrt{0}} {2}[/tex]
The radicand is equal to zero, therefore, the solution has only one real solution
[tex]x=\frac{-18} {2}=-9[/tex]
FUNCTIONS! HELP! Math!
Answers
As the x values go to negative infinity, the function's values go to positive infinity
Put another way, as x gets larger in the negative direction, y gets larger in the positive direction. Imagine there is a point on the blue curve that is free to move around as long as it stays on the blue curve the entire time. If you slide this point to the left, then it will eventually head upward infinitely as you move along the left-most branch.