Anyone know this geometry question?
Kali earns $8 per hour. She worked x hours on both Monday and Tuesday. She also worked 5 hours on Thursday. The expression which represents Kali’s earnings for the week is shown.
Image in screenshot!
Which number should go into the box to complete the expression?
It is given that:
Kali earns $ 8 per hour.
This means that if she works for n hours then this earning for n hours will be given by: $ 8n
She works x hours on both Monday and Tuesday.
This means that the earning of x hours is: $ 8x
and hence the earning for both Monday and Tuesday is:$ 2(8x)
She also worked for 5 hours on Thursday.
Hence, the earning for Thursday is: 5×8=40
The total earning of the week is given by:
2(8x)+5(8)
The two lines, P and Q, are graphed below: Line P is drawn by joining ordered pairs negative 8,15 and 6, negative 12. Line Q is drawn by joining ordered pairs 4,16 and negative 9,10 Determine the solution and the reasoning that justifies the solution to the systems of equations
Answer:
[tex]\text{Solution: }\left(-\dfrac{2654}{435},\dfrac{1644}{145}\right)[/tex]
Step-by-step explanation:
Line P is drawn by joining ordered pairs (-8,15) and (6,-12)
Using two point formula of line. Find equation of line P
[tex]\dfrac{y-15}{x-(-8)}=\dfrac{-12-15}{6-(-8)}[/tex]
[tex]\dfrac{y-15}{x+8}=\dfrac{-27}{6+8)}[/tex]
[tex]\dfrac{y-15}{x+8}=\dfrac{-27}{14}[/tex]
[tex]y=\dfrac{-27}{14}(x+8)+15[/tex]
[tex]y=\dfrac{-27}{14}x+\dfrac{-27}{14}\times 8 + 15[/tex]
[tex]y=\dfrac{-27}{14}x-\dfrac{3}{7}[/tex]
[tex]\text{Equation of line P:}y=\dfrac{-27}{14}x-\dfrac{3}{7}[/tex]
Line Q is drawn by joining ordered pairs (4,16) and (-9,10)
Using two point formula of line. Find equation of line Q
[tex]\dfrac{y-16}{x-4}=\dfrac{10-16}{-9-4}[/tex]
[tex]\dfrac{y-16}{x-4}=\dfrac{-6}{-13}[/tex]
[tex]\dfrac{y-16}{x-4}=\dfrac{6}{13}[/tex]
[tex]y=\dfrac{6}{13}(x-4)+16[/tex]
[tex]y=\dfrac{6}{13}x-\dfrac{6}{13}\times 4 + 16[/tex]
[tex]y=\dfrac{6}{13}x+\dfrac{184}{13}[/tex]
[tex]\text{Equation of line Q:}y=\dfrac{6}{13}x+\dfrac{184}{13}[/tex]
Using graphing find solution of system of equation.
We draw the line on graph and see the intersection point.
Please see the attachment of the line.
Answer:
(−2, 4), because it is the point of intersection of the two graphs
Step-by-step explanation:
BECAUSE
What is the length of a garden hose that is stretched diagonally corner-to-corner across a yard that measures 72 meters long and 60 meters wide? Round to the nearest meter.
Here, we need to find the length of the hose which is diagonally placed in the rectangular garden.
The length is given as = 72 meters
The width is given as = 60 meters
We will use Pythagoras theorem here.
Hypotenuse² = Perpendicular² + Base²
Hypotenuse² = 72² + 60²
Hypotenuse² = √8,784 meters²
Hypotenuse = 93.72 meters
Thus, the length of diagonal hose will be = 93.72 meters
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Which one of the following statements is true?
A. If f is continuous on (a, b), then f attains an absolute maximum value and f attains an absolute minimum inside the interval (a, b).
B. If f '(x) > 0 on the interval (a, b), then f is decreasing on the interval
(a, b).
C. If f and g are increasing on the interval (a, b), then f + g is increasing on (a, b).
D. None of the above.
What is the approximate area of the shaded sector in the circle below
A ________ sample is a sample in which each member of the population has a known, nonzero, chance of being selected for the sample.
A random sample is a subset of a population where every individual has an equal and known chance of being selected, providing a representative segment for study.
A random sample is a sample in which each member of the population has a known, nonzero, chance of being selected for the sample. This means that in a random sample, every individual in the larger population has an equal opportunity to be included. There are various methods to achieve a random sample, such as simple random sampling, stratified sampling, or using random digit dialing. Random samples are crucial because they tend to be representative of the population, thereby allowing the results of studies to be generalizable.
A ball is thrown downward from the top of a 190-foot building with an initial velocity of 21 feet per second. the height of the ball h after t seconds is given by the equation h equals negative 16 t squared minus 21 t plus 190. how long after the ball is thrown will it strike the ground?
The ball hits the ground after approximately 4.16 seconds.
To find the time at which the ball strikes the ground, we need to determine when h(t) = 0. Given the equation for height:
[tex]\[ h(t) = -16t^2 - 21t + 190 \][/tex]
we can set h(t) to 0 and solve for t:
[tex]\[ -16t^2 - 21t + 190 = 0 \][/tex]
Using the quadratic formula, we can find the roots of this equation:
[tex]\[ t = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} \][/tex]
where a = -16 , b = -21, and c = 190. Plugging in the values, we get:
1. Find the discriminating value [tex]\( \Delta = b^2 - 4 \times a \times c \)[/tex]:
[tex]\[ \Delta = (-21)^2 - 4 \times (-16) \times 190 = 441 + 12160 = 12601 \][/tex]
2. Calculate the roots:
[tex]\[ t = \frac{-(-21) \pm \sqrt{12601}}{2 \times -16} \\ \[ t = \frac{21 \pm \sqrt{12601}}{-32} \][/tex]
Since we're interested in the positive value (representing the time when the ball hits the ground), we'll only consider the root with the "minus" sign:
[tex]\[ t = \frac{21 - \sqrt{12601}}{-32} \approx \frac{-21 + \sqrt{12601}}{32} \approx \frac{21 - \sqrt{12601}}{32} \][/tex]
Using a calculator, let's approximate the result:
[tex]1. Compute \( \sqrt{12601} \approx 112.24 \),\\2. Then calculate \( 21 + 112.24 \approx 133.24 \),\\3. Divide by 32 to get \( t \approx \frac{133.24}{32} \approx 4.16375 \).[/tex]
Rounding to a more readable result, we can say that the ball hits the ground after approximately 4.16 seconds.
Frank owns 300 acres of land. If he divides the land into 1/2 acre plots, how many plots will he have?
Find 2004-04-02-04-00_files/i0340000.jpg. Round the answer to the nearest tenth.
A.
46.1°
B.
47.2°
C.
54.9°
D.
79.0°
George purchased a new car with the special 2.9% financing. If the car's price was $19,999 and he financed it for five years, find his monthly payment.
A. $357.46
B. $358.47
C. $199.99
D. $343.25
Correct Answer is B which is $ 358.47 for monthly payment
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Graph the function f(x) = x3 – 3x – 2. Based on the graph, which value for x is a double root of this function? a.–2 b.–1 c.1 d.2
Answer:
B) -1
Step-by-step explanation:
Kevin and randy muise have a jar containing 68 coins, all of which are either quarters or nickels. the total value of the coins in the jar is $13.40. how many of each type of coin do they have?
Kevin and Randy have 50 quarters and 18 nickels.
Explanation:To solve this problem, we can set up a system of equations. Let's use the variables x for the number of quarters and y for the number of nickels. We can then write two equations based on the given information:
Equation 1: x + y = 68 (the total number of coins is 68)
Equation 2: 0.25x + 0.05y = 13.40 (the total value of the coins is $13.40).
We can start by solving Equation 1 for x in terms of y:
x = 68 - y. Now we can substitute this expression for x into Equation 2:
0.25(68 - y) + 0.05y = 13.40
Simplifying, we get 17 - 0.25y + 0.05y = 13.40.
Combining like terms, we have 0.20y = 3.60.
Dividing both sides by 0.20, we find y = 18. Plugging this value back into Equation 1, we can solve for x:
x + 18 = 68
x = 68 - 18 = 50.
Therefore, Kevin and Randy have 50 quarters and 18 nickels.
find its area. w(-2,0). x(-3,3). y(2,0),z(1,3)
Assume that the starting point of a path in such a grid is labeled the origin ≡ (0,0). the destination is the point (m,n). in other words, there are (n+1) streets in the x direction and and (m+1) streets in the y direction; and any portion of of any of these streets can be used to reach the destination. find the total number of distinct paths; assuming that all streets are available.
what is the measure of AB
Suppose 20 rabbits are taken to an island. the rabbit population then triples every year. the function f(x)
This question is about exponential growth and the rabbit population on an island.
Explanation:The subject of this question is Mathematics. Specifically, it involves exponential growth and a function that represents the rabbit population on the island over time. Let's define the function f(x) to represent the population of rabbits at year x.
Based on the information given, the initial population is 20 rabbits. The population triples every year, which means that for each year x, the population is f(x) = 20 * 3^x.
For example, after 1 year, the population would be f(1) = 20 * 3^1 = 60 rabbits. After 2 years, the population would be f(2) = 20 * 3^2 = 180 rabbits, and so on.
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Claire says the area of a square with a side length of 100 centimeters is greater than the area of a square with a side length of 1 meter. Is she correct? Explain
Which of following equations is equivalent to the slope formula?
THE FIRST ANSWER GETS BRAINIEST The total height of the Statue of Liberty and its pedestal is 153 feet more than the height of the statue. Write and solve an equation to find the height h (in feet) of the statue.
WRITE THE EQUATION !!
The complete question is :
The total height of the Statue of Liberty and its pedestal is 305 feet. This is 153 more than the height of the statue. Write and solve an equation to find the height h (in feet) of the statue.
Question says 153, so we add 153 with the height of the statue
The total height of the Statue of Liberty = Height of the statue + 153
305 = h + 153
To find out h we subtract 153 on both sides
305 - 153 = h + 153 - 153
h = 152
The height of the statue = 152 ft
The height of the statue is 152 feet.
Let's call the height of the statue "h" in feet. According to the problem, the total height of the Statue of Liberty and its pedestal is 305 feet, and this is 153 more than the height of the statue. So, you can write the equation as:
Total Height = Statue Height + Pedestal Height
305 feet = h + 153 feet
Now, to find the height "h" of the statue, you can isolate it on one side of the equation. To do that, subtract 153 feet from both sides of the equation:
305 feet - 153 feet = h
152 feet = h
So, the height of the statue is 152 feet.
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The complete question is:
The total height of the Statue of Liberty and its pedestal is 305 feet. This is 153 more than the height of the statue. Write and solve an equation to find the height h (in feet) of the statue.
Trip bought an ice cream cone that is 4 inches tall with a radius of 2 inches the cone has a mass of about 3 ounces when empty after it is filled with ice cream and topped with a Hemisphere of ice cream with a radius of 2 inches it has a mass of 35 ounces what is the density of the ice cream use 3.14 for pie round your answer to the nearest thousand your answer will be in ounces per cubic inches
A tangent-tangent angle intercepts two arcs that measure 124 and 236. what is the measure of the tangent-tangent angle?
Answer:
the measure of the tangent-tangent angle is 56 degrees.
Step-by-step explanation:
apex
Bryant collects a set of 20 data representing the lengths of worms he found in the garden. The variance of the set of measurements is 36. What is the standard deviation from the mean? _____ millimeters
What is the value of x
You and a friend go to the movies and split the cost of the movie tickets and snacks. you pay the bill. you tell your friend he owes only $9 because you owe him $4 from the last time you went to the movies. how much was the total bill
Luis makes $23.10 per hour at his job for the first 40 hours he works each week. if he works more than 40 hours, then luis makes $34.65 per hour. if luis works 46 hours in one week, how much does he earn?
a. $1,062.60
b. $1,097.25
c. $1,131.90
d. $1,593.90 please select the best answer from the choices provided a b c d
The correct option is (C)