Answer:
13.7 ft²
Step-by-step explanation:
The figure is made up of two regular shapes.
1. A semi-circle of 3.6 ft
radius = 3.6/2 = 1.8 ft
Area = 1/2 × 3.14 × 1.8²
= 5.0868 ft²
2. A triangle
Area = 1/2 × base length × height
= 1/2 × 3.6 × 4.8
= 8.64 ft²
Area of the irregular shape = 5.0868 + 8.64
= 13.7268 ft²
To the nearest tenth = 13.7 ft²
The area of the irregular figure is 13.7 ft² to the nearest tenth.
What is the area of the triangle?The area of the triangle is defined as the product of half the base and the height of the triangle.
The area of the triangle = 1/2 x b x h
Given that vertex opposite the semi-circle side is bi-sected by a horizontal line labeled 4 point 8 feet between the semi-circle diameter side and the opposing triangle.
A semi-circle of 3.6 ft
The radius = 3.6/2 = 1.8 ft
Then Area = 1/2 × 3.14 × 1.8²
= 5.0868 ft²
Now triangle area is
Area = 1/2 × base length × height
= 1/2 × 3.6 × 4.8
= 8.64 ft²
Area of the irregular shape = 5.0868 + 8.64
= 13.7268 ft²
To the nearest tenth 13.7 ft²
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A quadratic. equation will always have an irrational solution since there is a square root in the quadratic formula. True or False?
Answer:
False
Step-by-step explanation:
If the square root can be simplified to a rational number the solution will not be irrational.
Answer:
False
Step-by-step explanation:
Consider reducible quadratic equations. They have rational solutions.
Which number is closest to
68?
9
64
8
34
Answer:
64
Step-by-step explanation:
What does x equal in the following examples?
4x+6. And. 2x+4
Answer:
-2
Step-by-step explanation:
hope -2 is equal for x in both expression
What is a requirement of the data in order for us to be allowed to control for individual variability?.
Statistics help present data precisely and draw meaningful conclusions. While presenting data, one should be aware of using adequate statistical measures.
Readers are generally interested in knowing the variability within the sample, descriptive data should be precisely summarized with SD. The use of SEM should be limited to computing CI which measures the precision of population estimate. Journals can avoid such errors by requiring authors to adhere to their guidelines.
Studying the entire population is time and resource-intensive and not always feasible; therefore studies are often done on the sample, and data are summarized using descriptive statistics. These findings are further generalized to the larger, unobserved population using inferential statistics.
For example, to understand the cholesterol levels of the population, the cholesterol levels of the study sample, drawn from the same population are measured.
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a cart weighing 190 pounds rests on an incline at an angle of 32°. what is the required force to keep the cart at rest? round to the thousandths place. a). 161.129 pounds
b). 148.502 pounds
c). 104.771 pounds
d). 100.685 pounds
Required force to keep the cart at rest ≈ 190 pounds × 0.52992 ≈ 100.685 pounds.
The required force to keep the cart at rest can be calculated using the equation: Force = Weight × sin(angle). Given that the weight of the cart is 190 pounds and the angle of the incline is 32°, we can plug these values into the equation:
Force = 190 pounds × sin(32°)
Using a calculator, we find that sin(32°) is approximately 0.52992. Therefore: Force ≈ 190 pounds × 0.52992 ≈ 100.685 pounds
Rounding to the thousandths place, the answer is approximately 100.685 pounds. Therefore, the correct answer is option d) 100.685 pounds.
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if x^2 = 25 then x=5 why is this statement wrong ?
Answer:
no because that symbol don't stand for multiply
Solve the equation and justify the steps used to solve.
9s=-54
Answer:
9s=-54
s=-54/9
s=-6
Step-by-step explanation:
please give me brainlest and follow me
f y varies inversely as x and x = 6 when y = 15, what does y equal when x = 9? PLEASE HELP ITS A TIMED TEST
Answer:
y = 10 when x = 9
Step-by-step explanation:
y = k/x
Where,
k = constant of proportionalty
Find k when x = 6 when y = 15
y = k/x
15 = k/6
Cross product
15 * 6 = k
k = 90
what does y equal when x = 9?
y = k/x
= 90/9
y = 10
y = 10 when x = 9
Choose the true statement about the graph of 3x ≥ 6.
Answer:
2x (>) or (<) or = to 13
Step-by-step explanation:
10. Which point is the solution for this System of equation?
Answer:
Through substitution, you plug the second equation into the first equation, which would be: 2x + x - 3 = 3. Then combine like terms, which would be: 3x = 6. Divide both sides by 3 to get: x = 2. Now use this x-value in the first equation: 2 (2) + y = 3 ; 4 + y = 3. Now combine like terms, once again, to get y = -1. Therefore the solution to this system of equations is (2,-1) To verify, you will get 3 if you plug in the respective values in to the first equation.
help pleaseee i can’t get it right
The compositions between functions f(x) = 3 · x - 2 and g(x) = x + 1 are f[g(x)] = 3 · x + 1 and g[f(x)] = 3 · x - 1, respectively.
How to use composition between two functions
Let be f(x) and g(x) functions, there is a composition of the form f[g(x)], when the independent variable of function f is substituted by function g. That is to say:
f ° g(x) = f [g(x)]
First, define functions f(x) and g(x):
f(x) = 3 · x - 2
g(x) = x + 1
Second, perform the required compositions and simplify the expressions:
f[g(x)] = 3 · (x + 1) - 2
f[g(x)] = 3 · x + 1
g[f(x)] = (3 · x - 2) + 1
g[f(x)] = 3 · x - 1
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6. A solution containing 80% chicken broth is to be mixed with water to
make 200L containing 60% chicken broth. How much of each should be
mixed?
x = amount of the 80% broth
y = amount of water with 0% broth
keeping in mind that water has no broth in it, so 0% of broth, let's plug in those percentages in decimal format to see how much each one has.
what's 80% of "x"? well (8/100) * x = 0.80x.
what's 0% of "y"? well hell is just 0.
what's 60% of 200? well anyhow is just 120.
\(\begin{array}{lcccl} &\stackrel{liters}{quantity}&\stackrel{\textit{\% of liters that is}}{\textit{broth only}}&\stackrel{\textit{liters of}}{\textit{broth only}}\\ \cline{2-4}&\\ \textit{80\% Sol'n}&x&0.80&0.80x\\ water&y&0.00&0\\ \cline{2-4}&\\ mixture&200&0.60&120 \end{array}~\hfill \begin{cases} x + y = 200\\\\ 0.80x+0=120 \end{cases} \\\\[-0.35em] ~\dotfill\\\\\)
\(\stackrel{\textit{using the 2nd equation}}{0.8x=120}\implies x=\cfrac{120}{0.8}\implies \boxed{x=150~liters} \\\\\\ \stackrel{\textit{using the 1st equation}}{150 + y = 200}\implies y=200-150\implies \boxed{y=50~liters}\)
Hii i rlly need help pls help me quicklyyy
ill give brainliest or best or whatevrrrr
1. The first measurement is 15.708
2. The radius would be half of the distance across the drain, or half of the diameter. Half of 3.8cm, or 3.8cm / 2 is 1.9cm.
The diameter is . . .
d = 2r
d = 2 × 5inch
d = 10 inch
The radius is . . .
r = 5 inch
The circumference is the distance around the drain, or if you trace the entire circle. The formula to find the circumference of a circle is 2 multiplied by pi and the radius of the circle, or C = 2(pi)r. Here, we just found the radius, so the circumference is 2 * pi (which is approximately 3.14) * 1.9cm, or approximately 11.9cm!
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A tether ball is attached to the top of a 15-foot pole. Maddy holds the ball 3 feet off the ground and 4 feet from the pole. How long is the rope that the tether ball is attached to?
Answer:
15.52 ft
Step-by-step explanation:
the length of the rope can be determined using Pythagoras theorem
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypotenuse
√15² + 4²
= √225 + 16
=√ 241
= 15.52 ft
Answer:
the answer is b the square root of 160
Step-by-step explanation:
i did it on the assignment
places a and b are 80 km apart from each other on a highway. a car starts from a and another from b at the same time.if they move in same direction they meet in 8hrs and if they move towards each other they meet in 1 hr 20mins . find the speed of cars
(CLASS 10 MATHS: PAIR OF LINEAR EQUATIONS IN 2 VARIABLE)
Answer: 10 kmph [kilometres per hour]
A cube is placed on top of a cuboid, as shown in the diagram, to form a solid. 1 8 cm The cube has edges of length 5 cm. The cuboid has dimensions 8 cm by 7 cm by 6 cm. Work out the total surface area of the solid. 5 cm 6 cm 7 cm
The total surface area of the solid is 442 cm²
In the given diagram, a cube of edge 5 cm is placed on the top of a cuboid of dimensions 8 cm × 7 cm × 6 cm to form a solid. We are to find out the total surface area of the solid. Surface area of the cube = 6a² = 6 × (5)² = 6 × 25 = 150 cm² where a is the edge of the cube.Surface area of the cuboid = 2 (lb + bh + hl) = 2 (8 × 7 + 7 × 6 + 6 × 8) = 2 (56 + 42 + 48) = 2 (146) = 292 cm²Total surface area of the solid = surface area of the cube + surface area of the cuboid (as the cube is placed on the top of the cuboid) = 150 + 292 = 442 cm².
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If an additional worker can produce an additional 20 units of output which can be sold for $4 per unit, what is the maximum wage that this perfectly competitive firm should pay to hire this worker?.
The maximum wage that this perfectly competitive firm should pay to hire this worker = $80
The options for this question
A) $80 minus the firm's profit markup
B) It depends on what the going wage rate is in the labor market.
C) $80
D) There is insufficient information to answer the question.
now, we need to find the maximum wage that this perfectly competitive firm should pay to hire this worker
given that
the additional worker can produce an additional 20 units of output and that can be sold for$4 per unit
maximum wage = additional units × sold per unit
= 20 × 4 = 80
the maximum wage = $80
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Are the mean and median close to the same value or very different from one another? What does this tell you about the data?
The relationship between the mean and median can provide information about the shape of the distribution and the presence of outliers.
Explaining mean and medianThe mean and median can be either close to the same value or very different from one another, depending on the distribution of the data.
If the data is approximately symmetric, with no extreme values, then the mean and median will be close to each other. In this case, the data is evenly distributed around the central tendency of the data, so both measures provide a similar representation of the central value.
However, if the data is skewed, with one tail longer than the other, or if there are extreme values (outliers) present in the data, then the mean and median will be different.
In this case, the mean is pulled in the direction of the skew or outliers, while the median remains unaffected.
As a result, the mean may not provide an accurate representation of the central tendency of the data.
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(c) (i) A rod has length 2.9 m, correct to 1 decimal place. What is the upper bound for the length of the rod? (ii) Will the rod fit completely in the box? Give a reason for your answer.
Answer: (i) The upper bound for the length of the rod can be found by rounding up to the nearest decimal place. Since the length of the rod is 2.9 m, correct to 1 decimal place, we round up to 3.0 m. Therefore, the upper bound for the length of the rod is 3.0 m.
(ii) Without knowing the dimensions of the box, it is not possible to determine if the rod will fit completely inside it. The length of the box, as well as the width and height, would need to be known in order to determine if the rod will fit.
Step-by-step explanation:
the mean salary of professional baseball players is $2.46 million with a standard deviation of 0.32. a new player is hired with a salary of $2.65 million. what is the z-score of this salary?
The z-score for the new player's salary is 0.59375
The z-score is a measure of how many standard deviations a value is from the mean. To find the z-score for a salary of $2.65 million, we can use the following formula:
z = (x - μ) / σ
where:
x = the salary of the new player ($2.65 million)
μ = the mean salary of professional baseball players ($2.46 million)
σ = the standard deviation of the salary ($0.32 million)
Plugging in the values, we get:
z = ($2.65 million - $2.46 million) / $0.32 million
z = ($0.19 million) / $0.32 million
z = 0.59375
Therefore, the z-score for the new player's salary is 0.59375. This means that the new player's salary is 0.59375 standard deviations above the mean salary of professional baseball players.
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PLZZ HELP ASAP
Order these numbers from least to greatest
Answer:
1.4722, 2.901, 2.9, 2.91
Step-by-step explanation:
7. A house painting company charges $350 plus $10 per hour. Another painting company charges $300 plus $15
per hour.
a) How long is a job for which both companies will charge the same amount? Write an equation first, then solve.
b) What will that cost be?
6 hours long is a job for which both companies will charge the same amount and the cost will be $410.
a) Let 'x' stand for the number of hours required to complete the task.
350 + 10x = 300 + 15x
350-300=15x-10x
50=5x
x=6
Thus both the companies will charge the same for a task that takes 6hours.
b) The price will be 350+10(6) =
=350+60
= $410
How to simplify algebraic expression?
Finding a simplified version of an expression is the act of simplifying it. In order to factor or simplify the phrase, we also need to know how to combine like terms and factor a number in addition to the order of operations.
You gather the variables with the same degree that are like terms, or together. The constant terms should be separated to provide simplification.
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HELPPP PLEASEE!!!DONT ANSWER IF YOU DONT KNOW!!
Answer:
-4
Step-by-step explanation:
How do you calculate energy consumption with example?
Energy consumption is the amount of power used over time, measured in watt-hours (Wh) or kilowatt-hours (kWh). It is calculated by multiplying the power (measured in watts) by the time for which it is used.
To calculate energy consumption, you will need to know the amount of power being used and the time over which it is being used. Power is typically measured in watts (W), and energy is the product of power and time, so energy consumption is the number of watts used multiplied by the number of hours for which they are used.
For example, let's say you want to calculate the energy consumption of a light bulb that uses 60 W of power and is left on for 4 hours. The energy consumption would be:
Energy consumption = 60 W * 4 hours = 240 Wh (watt-hours)
This is the amount of energy that the light bulb used over the 4-hour period.
You can also convert watt-hours to other units of energy, such as kilowatt-hours (kWh). To do this, you would divide the watt-hours by 1,000. In the example above, the energy consumption would be 0.240 kWh.
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OPTIONS ARE: f(x)= 6 , f(x)= -5 , f(x)= -12 , f(x)= 1
Answer:
f(x) = 6 when x = -3
Step-by-step explanation:
Looking at the problem, it gives you two scenarios to get f(x):
1) When x is less than 0, multiply x by -2.
2) When x is greater than or equal to 0, multiply x by 4.
As defined by the question, x = -3. Since -3 is less than 0, you would go to scenario 1, which multiplies x (-3) by -2, giving you 6.
given 3x+2y=8 what equation represents the line parallel to the given equation and passes through the point (-2,5).
Answer:
y = -3/2 x + 2
Step-by-step explanation:
3x + 2y = 8
2y = -3x + 8
y = -3/2 x + 4
slope of given line = m = -3/2
Parallel lines have equal slopes.
Slope of parallel line through point (-2, 5), m = -3/2.
y = mx + b
m = -3/2
y = -3/2 + b
point: (-2, 5)
5 = (-3/2)(-2) + b
5 = 3 + b
b = 2
Equation: y = -3/2 x + 2
In order to solve the following system of equations by subtraction, which of
the following could you do before subtracting the equations so that one
variable will be eliminated when you subtract them?
4x – 2y=7
3.x – 3y = 15
A. Multiply the top equation by 15 and the bottom equation by 7.
B. Multiply the top equation by 1/3.
O C. Multiply the top equation by 3 and the bottom equation by 4.
D. Multiply the top equation by-3 and the bottom equation by 2.
4x – 2y=7
3x – 3y = 15
we want to keep y by eliminating the x
so we will Multiply the top equation by 3 and the bottom equation by 4.
we will get
12x - 6y = 21
12x - 12y = 60
we subtract the equations
12x - 6y - 12x - (-12y) = 21 - 60
6y = -39 and so on
The AID Parcel Service wants to build a new distribution center in Charlotte. The center needs to be in the vicinity of Inerstate-77 and Intersatate-85 interchanges, and the Charlotte International Airport. The coordinates of these three sites and the number of weekly packages that flow to each are as follows:
I-77 I-85 Airport
X=16 X=35 X=40
Y=28 Y=10 Y=18
W=26,000 W=12,000 W=10,000
Determine the best site location using the center-of-gravity technique
Subject - Logistics management
Using the center-of-gravity technique, the best site location for the new distribution center in Charlotte is determined to be at coordinates (X, Y) = (27.92, 19.08).
The center-of-gravity technique is used to find the optimal location for a facility based on the distribution of demand. In this case, we will calculate the weighted average of the coordinates (X, Y) of the three sites, with the weights being the number of weekly packages flowing to each site.
To calculate the X-coordinate of the center of gravity, we use the formula:
Xc = (X1 * W1 + X2 * W2 + X3 * W3) / (W1 + W2 + W3)
Similarly, for the Y-coordinate:
Yc = (Y1 * W1 + Y2 * W2 + Y3 * W3) / (W1 + W2 + W3)
Substituting the given values:
Xc = (16 * 26000 + 35 * 12000 + 40 * 10000) / (26000 + 12000 + 10000) ≈ 27.92
Yc = (28 * 26000 + 10 * 12000 + 18 * 10000) / (26000 + 12000 + 10000) ≈ 19.08
Therefore, the best site location for the new distribution center in Charlotte is approximately at coordinates (X, Y) = (27.92, 19.08) based on the center-of-gravity technique.
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The equation for line c can be written as y= – 3/7x+4. Perpendicular to line c is line d, which passes through the point (2,4). What is the equation of line d?
Answer: \(\text{y} = \frac{7}{3}\text{x}-\frac{2}{3}\)
This is the same as writing y = (7/3)x - 2/3
=======================================================
Explanation:
The given equation is in y = mx+b form
m = -3/7 = slope
b = 4 = y intercept
Flip the fraction for the slope to get -7/3, and flip the sign from negative to positive to get 7/3
The original slope is -3/7 and the perpendicular slope is 7/3. These two slopes multiply to -1.
We want the perpendicular line to go through \((\text{x}_1,\text{y}_1) = (2,4)\\\\\)
We'll use the point-slope form to get...
\(\text{y} - \text{y}_1 = \text{m}(\text{x}-\text{x}_1)\\\\\text{y} - 4 = \frac{7}{3}(\text{x}-2)\\\\\text{y} - 4 = \frac{7}{3}\text{x}+\frac{7}{3}(-2)\\\\\text{y} - 4 = \frac{7}{3}\text{x}-\frac{14}{3}\\\\\text{y} = \frac{7}{3}\text{x}-\frac{14}{3}+ 4 \\\\\text{y} = \frac{7}{3}\text{x}-\frac{14}{3}+ \frac{12}{3} \\\\\text{y} = \frac{7}{3}\text{x}+\frac{-14+12}{3} \\\\\text{y} = \frac{7}{3}\text{x}-\frac{2}{3} \\\\\)
This equation has a slope of 7/3 and y intercept of -2/3.
Which comparison is correct?
A. -9 > 4
B. -6 > -5
C. -2 > -7
D. 7 < 3
The correct comparison is C. -2 > -7. the inequality of the -2 is greater then -7.
What is inequality?Inequality refers to the state of being unequal or not equal in some respect. It can refer to various forms of disparities or differences, such as differences in income, wealth, education, opportunities, health, or social status, among others. Inequality can occur between individuals, groups, communities, or nations, and it can be caused by various factors, such as discrimination, historical legacies, social structures, policies, or economic systems. Inequality is often considered a social problem because it can lead to social tension, unrest, and injustice, as well as undermine economic growth and human development.
Option A (-9 > 4) is incorrect because -9 is a smaller value than 4, so it is false.
Option B (-6 > -5) is also incorrect because -6 is a smaller value than -5, so it is false.
Option D (7 < 3) is incorrect because 7 is a larger value than 3, so it is false.
Therefore, option C (-2 > -7) is the correct comparison because -2 is a larger value than -7, so it is true.
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