Answer: -5
Step-by-step explanation:
Answer:
-5 is the correct answer
in 1980, the population of a city was 5.2 million. by 1992 the population had grown to 7.6 million. type the rate at which the population of the city was growing as an integer or reduced fraction. million per year
The rate at which the population of the city was growing was an average of 1.5 million people per year, which can be expressed as an integer or reduced fraction as 3/2.
To break this down further, this means that the city's population was increasing by an average of 416,666 people each month or 14,053 people each day.
This is an impressive rate of growth, especially when considering that the city was already quite large at 5.2 million people. This growth can be attributed to a number of factors, including high levels of immigration, a strong economy, and a booming job market.
Moreover, the growth in population can be seen as a testament to the city's quality of life and its ability to attract new residents.
The population of the city in 1980 was 5.2 million and by 1992 it had grown to 7.6 million. This shows that the rate at which the population of the city was growing was an average of 1.5 million people per year, which can be expressed as an integer or reduced fraction as 3/2.
To learn more about population, click here:
https://brainly.com/question/18415071
#SPJ4
a car sale, cars are selling at the rate of cars per day, where x is the number of days Since the sale began. How many cars will be sold during the first 7 days of the sale? 9. During 12 X+1
During the first 7 days of the sale, the number of cars sold can be calculated by substituting x = 7 into the given equation, resulting in 96 cars.
The rate of car sales is given by the equation f(x) = 12x + 1, where x represents the number of days since the sale began. To find the number of cars sold during the first 7 days of the sale, we need to evaluate the function f(x) for x = 1, 2, 3, 4, 5, 6, and 7 and sum up the values.
For x = 1, f(1) = 12(1) + 1 = 13 cars.
For x = 2, f(2) = 12(2) + 1 = 25 cars.
For x = 3, f(3) = 12(3) + 1 = 37 cars.
For x = 4, f(4) = 12(4) + 1 = 49 cars.
For x = 5, f(5) = 12(5) + 1 = 61 cars.
For x = 6, f(6) = 12(6) + 1 = 73 cars.
For x = 7, f(7) = 12(7) + 1 = 85 cars.
To find the total number of cars sold during the first 7 days, we sum up these values: 13 + 25 + 37 + 49 + 61 + 73 + 85 = 343 cars.
Therefore, during the first 7 days of the sale, 343 cars will be sold.
To learn more about function, click here: brainly.com/question/11624077
#SPJ11
y=-3x
6x-y=9 solve in substitution method
Answer:
x = 1
y = -3
Step-by-step explanation:
We will take our equation and substitute it, giving us:
6x - (-3x) = 9
Since there are two negatives We make it a positive. 6x + 3x = 9.
9x = 9
x = 1
Then we substitute, we will get 6 - y = 9.
6 = 9 + y
y = -3
We can now check this, substituting we get:
6 - (-3) = 9
6 + 3 = 9
Everything checks out.
Ariana solved the equation as shown. Explain her error and correct the solution.
9x² - 144= 0
9x² = 144
x² = 16
√ x² = √ 16
x=+8
4. Judy is paddling in a kayak at a speed of 5 km/h relative to still water. The river's current is moving North at 3 km/h a. Draw a vector diagram and use it to determine her resultant velocity relative to the ground if she paddles in the opposite direction to the current b. If Judy is paddling perpendicular to the current and the river is 800 meters wide, what distance will she travel to reach the other side?
The distance she will travel is equal to the width of the river.
a. To determine Judy's resultant velocity relative to the ground when she paddles in the opposite direction to the current, we can draw a vector diagram.
Let's represent Judy's velocity relative to still water as a vector pointing south with a magnitude of 5 km/h. We can label this vector as V_w (velocity relative to still water).
Next, we represent the river's current velocity as a vector pointing north with a magnitude of 3 km/h. We can label this vector as V_c (velocity of the current).
To find the resultant velocity, we can subtract the vector representing the current's velocity from the vector representing Judy's velocity relative to still water.
Using vector subtraction, we get:
Resultant velocity = V-w - V-c = 5 km/h south - 3 km/h north = 2 km/h south
Therefore, when Judy paddles in the opposite direction to the current, her resultant velocity relative to the ground is 2 km/h south.
b. If Judy is paddling perpendicular to the current and the river is 800 meters wide, we can calculate the distance she will travel to reach the other side.
Since Judy is paddling perpendicular to the current, the current's velocity does not affect her horizontal displacement. Therefore, the distance she will travel is equal to the width of the river.
To learn more about resultant velocity
https://brainly.com/question/4945130
#SPJ11
Alan and Bree are taking a keyboarding test. The tables show the number of words they type over time, and the numbers of mistakes they make
Mistakes
Alan's Typed
Words
5
10
Time
(seconds)
6
12
2
4
6
18
15
20
8
Mistakes
Bree's Typed
Words
9
Time
(seconds)
8
3
6
18"
16
9
27
36
24
32
12
Who makes mistakes at a faster rate? Explain using ratios.
Select the answers from the drop-down lists to correctly complete the sentences.
Answer:
Bree does
Step-by-step explanation:
83.63 - 2.89 × (4.9 - 2.9)2 A. 72.07 B. 50.43 C. 1,046.56 D. 49.31 Please help
Answer:
A would be the anwser
Step-by-step explanation:
Answer: A. 72.07
Step-by-step explanation: Plato
distance between a(3,9) b(-10,4)
Answer:
√194 i think
Step-by-step explanation:
Answer:
\(\boxed {d = \sqrt{194}}\)
Step-by-step explanation:
Use the Distance Formula to help you find the distance between the two given points:
\(d = \sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}}\)
First point: \((x_{1}, y_{1})\)
Second point: \((x_{2}, y_{2})\)
-Substitute the two given points onto the formula:
First point: \((3, 9)\)
Second point: \((-10, 4)\)
\(d = \sqrt{(-10 - 3)^{2} + (4 - 9)^{2}}\)
-Then, you solve for the distance:
\(d = \sqrt{(-10 - 3)^{2} + (4 - 9)^{2}}\)
\(d = \sqrt{(-13)^{2} + (-5)^{2}}\)
\(d = \sqrt{169 + 25}\)
\(\boxed {d = \sqrt{194}}\) (since the number cannot be square rooted, the number will stay the same)
Therefore, the distance is \(\sqrt{194}\).
I need this done today please help, thank you!! (Show the math steps to find the critical numbers, and show your number line.)
How many grams is 3200 milligrams? A. 2.5 g B. 3 g C. 3.2 g D. 3.5 g
Answer:
C. 3.2g
Step-by-step explanation:
Mark Me Brainliest?
Answer:
3200mg is C; 3.2g
Vincent saves $8 each week. How much does he save in a year?
$56
$60
$416
$2960
Answer:
$416
Step-by-step explanation:
weeks in a year is 52 weeks
52×8=416$
a manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 433 gram setting. it is believed that the machine is underfilling or overfilling the bags. a 301 bag sample had a mean of 431 grams with a variance of 324 . assume the population is normally distributed. a level of significance of 0.02 will be used. specify the type of hypothesis test.
The type of hypothesis test to be used in this scenario is a one-sample t-test with a two-tailed alternative hypothesis.
The problem is asking to conduct a hypothesis test to determine whether the bag filling machine works correctly at the 433 gram setting.
The hypothesis test would involve a null hypothesis (H0) and an alternative hypothesis (Ha).
The null hypothesis is typically the hypothesis of "no effect" or "no difference" and is denoted as H0. In this case, the null hypothesis would be that the mean weight of potato chips in the bags filled by the machine at the 433 gram setting is equal to 433 grams. Therefore, the null hypothesis would be:
H0: μ = 433
The alternative hypothesis (Ha) is the hypothesis that we want to test, and it is denoted as Ha. In this case, the alternative hypothesis would be that the mean weight of potato chips in the bags filled by the machine at the 433 gram setting is not equal to 433 grams. Therefore, the alternative hypothesis would be:
Ha: μ ≠ 433
To conduct the hypothesis test, we would need to calculate the test statistic and compare it to the critical value. Since the sample size is large (n=301) and the population variance is unknown, we would use a t-test with a level of significance of 0.02.
If the calculated t-value falls outside the critical t-value, we would reject the null hypothesis and conclude that the bag filling machine does not work correctly at the 433 gram setting.
If the calculated t-value falls within the critical t-value, we would fail to reject the null hypothesis and conclude that there is not enough evidence to suggest that the bag filling machine does not work correctly at the 433 gram setting.
Learn more abou hypothsis test at https://brainly.com/question/24212565
#SPJ11
Solve for a. 1/4(20−4a)=6−a 0 all real numbers −1 no solution
Answer:
No solution
Step-by-step explanation:
=> \(\frac{1}{4} (20-4a) = 6-a\)
=> \(\frac{1}{4} *4(5-a) = 6-a\)
=> \(5-a=6-a\)
Adding a to both sides
=> \(5-a+a=6-a+a\)
=> 5 ≠ 6
So, this equation has no solution.
Taner wants to run a total of 6 kilometers between last week and this week. How far does Taner need to run this week to reach his goal?
Taner will only need to run 3 km this week to complete his 6 km running goal.
Describe the fractional number in detail:If we require a definition, we may start by saying that fractional numbers are numbers that symbolize one or possibly more portions of a unit that has been subdivided into equal parts.
To determine the fractional numbers, two whole numbers (including fraction terms) are separated by a horizontal line (the fraction line). The denominator just below line must be different from zero, whereas the numerator well above line may be any whole number.Given that, Taner's overall running goal is 6 km (including last week and this week)
So,
Taner's 2-week goal is 6 kilometres.
Now,
Taner's goal for the week is 3 kilometres = (6/2).
As the Taner completed 3 km of running last week. Taner can achieve his objective this week by running just 3 miles.
Know more about the fraction
brainly.com/question/78672
#SPJ1
PLEASE HELP!!!
The phrases exponential growth and exponential decay appear quite often in media reports these days, referring to environmental, technological, and scientific changes.
In your own words, how would you describe exponential growth and exponential decay to someone unfamiliar with these phrases?
Answer: ( No need for explanation due to it being a mathematical word/essay sort of problem )
The term “ exponential growth “ can refer to a very rapid increase in numbers while the term “ exponential decay “ refers to very rapid decrease in number.
You can tell by the second word in the exponential
Growth = Rising
Decay = Falling
Thus the answer to your problem is,
The term “ exponential growth “ can refer to a very rapid increase in numbers while the term “ exponential decay “ refers to very rapid decrease in number.
What D
Evaluate each expression for the giver
3x² when x is 10
Answer:
3x²
= 3(10)²
= 3(100)
= 300
Step-by-step explanation:
heart and star pls <3 brainliest will be appreciated <3(っ◔◡◔)っ -{ elyna s }-a circle with diameter $2$ is translated $5$ units. what is the perimeter of the region swept out by the circle?
The perimeter of the region swept out by the circle during translation is 2π units.
When a circle is translated, its shape remains the same, but its position in space changes. The perimeter of the region swept out by the circle during translation will be the same as the perimeter of the circle itself.
Given:
Diameter of the circle = 2 units
Translation distance = 5 units
Calculate the radius of the circle.
Radius (r) = Diameter / 2
r = 2 / 2
r = 1 unit
Calculate the perimeter of the circle.
Perimeter of a circle (P) = 2 x π x r
P = 2 x π x 1
P = 2π units
Therefore, the perimeter of the region swept out by the circle during translation is 2π units.
To know more about perimeter follow
https://brainly.com/question/32228528
#SPJ12
i have a 92.45% in math class right now as my grade, and i got an 82% and 95% on both my finals which are worth 35 percent of my grade, what is my grade for the class
Step-by-step explanation:
92.45 % is worth .65 of your grade
(82 + 95)/2 is worth .35 of your grade
92.45 * .65 + (82 + 95)/2 * .35 = 91.1 %
The base of a solid right pyramid is a square with an edge length of n units. The height of the pyramid is n − 1 units.
The correct option is C. One-third n²(n − 1) units³ = ⅓ n²(n-1) units³; volume of the pyramid.
What is referred as the solid right pyramid?A right pyramid is one that has the upper end straight just above centroid of a base. A regular pyramid is thus a subset of a right pyramid.
As, per the given question;
Edge Length = n units
Height of the pyramid = n - 1 units
The formula for volume of a solid right pyramid is;
Volume = ⅓Ah
Where, A is the area of the base.
h is the height of the pyramid
Since, pyramid has the square base;
Calculate the area;
Area, A = edge × edge
A = n × n
A = n²
Put the value of area in volume;
Volume = ⅓Ah
Substitute n² at A and n - 1 at h.
Solve the expression;
Volume = ⅓ × n² × (n - 1)
Volume = ⅓n²(n-1).
Therefore, the volume of the solid right pyramid is calculated as V = ⅓n²(n-1) units³.
To know more about the solid right pyramid, here
https://brainly.com/question/4151950
#SPJ9
The complete question is -
A solid right pyramid has a square base with an edge length of n units. The height of the pyramid is n minus 1 units.
Which expression represents the volume of the pyramid?
A. One-third n(n − 1) units³
B. One-third n²(n − 1)² units³
C. One-third n²(n − 1) units³
D. One-third n³(n − 1) units³
hi I need help solving for X, it says assume that lines which appear tangent are tangent
ANSWER :
A. 15
EXPLANATION :
Recall the secant-secant formula :
\((\text{ whole secant})\times(\text{ external part})=(\text{whole secant})\times(\text{external part})\)That will be :
\((8+19)\times8=(x+9)\times9\)Solving for x :
\(\begin{gathered} 27\times8=9x+81 \\ 216=9x+81 \\ 216-81=9x \\ 135=9x \\ 9x=135 \\ x=\frac{135}{9}=15 \end{gathered}\)The information in the table was compiled from a survey of state park users’ Participation in various outdoor activities.Note that the table is in thousands. If a number on the table is 5.2,that means 5,200 people.
According to the information, the group of people over 60 who use the camping is 28.1% (option C).
How to find what percentage corresponds to the group of people over 60 who used the park campsite?To find the percentage that corresponds to the group of people over 60 years of age who used the park camping, we must consider the total number of people 60 years of age or older who were included in the survey. In this case we can infer that there were 21,000 people. On the other hand, the group that used the camping was 5,900. So the percentage would be:
5,900 * 100 / 21,000 = 28.09Based on the above, we can infer that the correct answer is B.
Learn more about percentages in: https://brainly.com/question/28998211
#SPJ1
The volume of the rectangular pyramid below is 1056 units. Find the value of x.
Answer:
x = 12 unit
Step-by-step explanation:
volume = lwh/3
1056 = (12 × x × 22) / 3
1056 = 264x /3
1056 × 3 = 264x
3168 = 264x
x = 3168 / 264
x = 12
Please help and include scratch thank you.
Hence, the value of y is 23 when x = 7.
Describe equation?
A mathematical equation is a formula that uses the equals symbol (=) to denote the equality of two expressions.
A formula would be 3x - 5 = 16,
for instance. We may determine the value of the variable x by solving this equation: x = 73.
The slope-intercept representation of the equation can be used to determine the equation of a line running through the points (x1, y1) and (x2, y2):
y - y1 = m(x - x1) (x - x1)
where m is the line's slope. The following formula can be used to determine the line's slope:
m = (y2 - y1) / (x2 - x1) (x2 - x1)
Now put the x and y value in this:
slope of the line using the points (1, 5) and (3, 11):
m = (11 - 5) / (3 - 1) = 6 / 2 = 3
We can use the slope of the line to determine the equation of the line now that we know it:
y - y1 = m(x - x1) (x - x1)
y - 5 = 3(x - 1) (x - 1)
y - 5 = 3x - 3 = 3x + 2
In light of this, the equation for the line connecting points (1, 5) and (3, 11) is y=3x+2
To determine the value of y for x = 7, we can utilize the equation of the line we discovered earlier:
y = 3x + 2
y = 3(7) + 2
y = 21 + 2
y = **23**
Graph calculation given below:
To know more about equation visit:
brainly.com/question/2965798
#SPJ1
what is the full answer to pie
Answer:
\(\pi\)= 3.1415926...= c/d
Step-by-step explanation
Pie is infinite so there is no simple answer.
circumference divided by the diameter = pie
a factory makes rods by cutting plastic pipes that are 4 feet long into 7 equal sized rodshow long is each rod?what is the total length of 15 rods?
As a fraction, length of the 15 rods = 8 4/7 feet
As decimal, length = 8.57 feet
Explanation:initial length pipes = 4 feet
Dividing the length of the pipe into 7:
\(\begin{gathered} length\text{ }of\text{ each rod = }\frac{initial\text{ length}}{7\text{ parts}} \\ length\text{ }of\text{ each rod }=\frac{4}{7}\text{feet} \end{gathered}\)length of 15 of those rods:
\(\begin{gathered} \text{length = 15 }\times\text{ length of each rod} \\ \text{length = 15 }\times\text{ }\frac{4}{7} \end{gathered}\)\(\begin{gathered} length\text{ of 15 rods = }\frac{60}{7} \\ Total\text{ length of 15 rods = 8}\frac{4}{7}\text{ or 8.57 f}eet \end{gathered}\)
A diving board has an area of 10 square feet. Its perimeter is 22 feet. What are the
dimensions of the diving board?
Answer:
Step-by-step explanation:
Three vertices of parallelogram PQRS are show: Q(8, 5), R(5, 1), S(2, 5)
Place statements and reasons in the table to complete the proof that shows that parallelogram PQRS is a rhombus.
\(PQRS\) is a rhombus since \(\overline{QR} \cong \overline{RS}\) and \(m\angle R \neq 0^{\circ}\), \(m\angle R \neq 90^{\circ}\) and \(m\angle R \neq 180^{\circ}\). \(\blacksquare\)
How to demonstrate that a given figure represents a rhombus
In this question we must prove that a given parallelogram is a rhombus. A rhombus is quadrilateral with four sides of equal length and two pairs of angles of equal measure, different to each other. We must demonstrate that \(\overline {QR} \cong \overline {RS}\) and \(m\angle R \neq 90^{\circ}\) and \(m\angle R \neq 0^{\circ}\) and \(m\angle R \neq 180^{\circ}\) by geometric and algebraic definitions and theorems:
\(Q(x,y) = (8,5)\), \(R(x,y) = (5,1)\), \(S(x,y) = (2,5)\) Given\(QR = \sqrt{(5-8)^{2}+(1-5)^{2}} = 5\) Pythagorean theorem/Line segment length formula\(RS = \sqrt{(2-5)^{2}+(5-1)^{2}} = 5\) Pythagorean theorem/Line segment length formula\(QR = RS\) (2) and (3)\(\overrightarrow {QR} \,\bullet\,\overrightarrow{RS} = (-3)\cdot (-3) + (-4)\cdot (4) = -7\) Dot product\(\theta = \cos^{-1}\left(\frac{\overrightarrow{QR}\,\bullet\,\overrightarrow{RS}}{QR\cdot RS} \right) = \cos^{-1}\left(-\frac{7}{25} \right) \approx 106.260^{\circ}\) Dot product\(\overline{QR} \cong \overline {RS}\) (4) and (6)\(PQRS\) is a rhombus. (6) and (7)/Result\(PQRS\) is a rhombus since \(\overline{QR} \cong \overline{RS}\) and \(m\angle R \neq 0^{\circ}\), \(m\angle R \neq 90^{\circ}\) and \(m\angle R \neq 180^{\circ}\). \(\blacksquare\)
To learn more on rhombuses, we kindly invite to check this verified question: https://brainly.com/question/4165249
Estimate the answer by first converting each number into scientific notation
and rounding the decimal part to the nearest whole number. Write your answer
in scientific notation.
0.00000397 x 520, 400,000
a) 2 x 10²
b) 2 x 103
3 points
c) 2 x 104
d) 2 x 105
The value of the expression 0.00000397*520400000 is equal to
2*\(10^{4}\)+66 or 2066.
Given an expression be 0.00000397*520400000.
We are required to first convert each number into scientific notation
and round the decimal part to the nearest whole number.
Expression is basically a combination of numbers, fraction, coefficients, symbols that are usually not found in equal to form. We can find its value by putting the value of variable present in it or simply solving the numbers and symbols.
0.00000397*520400000=397/\(10^{8}\) * 5204*\(10^{5}\)
=(397*5204)/\(10^{3}\)
=2,065.988
=2066
=2*1033
=2*(\(10^{4}\)+33)
=2*\(10^{4}\)+66
Hence the value of the expression is equal to 2*\(10^{4}\)+66 or 2066.
Learn more about expression at https://brainly.com/question/723406
#SPJ1
Ignore the chosen answer mark thing I clicked on it by accident
Answer:
It's the one you clicked!
Step-by-step explanation:
It is 22.5 or 22 \(\frac{1}{2}\)
because
5/2 simplified is 2.5
2.5 x 9 = 22.5
hope this helps :)
At gameplay you can buy a Xbox one for $150 and each game to go with it would cost $24 or you can buy a PlayStation 4 for $180 and each game for $20. Write an equation to determine how many games would need to be purchased for the cost to be equal
Answer:
it depends how many games you want. If you want 1 game for the xbox then its $174 but if you want a ps4 with a game then its $200. I would go with the xbox.