Answer:
A)
x + 7 < 5
Shows inequality
The correct inequality that represents the solutions on the given number line is C) [tex]\( x - 5 > 2 \).[/tex]
To find the correct inequality, we need to determine which one corresponds to the shaded portion of the number line. The shaded portion indicates the set of all [tex]\( x \)[/tex] values that satisfy the inequality.
Let's analyze each option:
A) [tex]\( x + 7 \leq 5 \)[/tex]
If we solve this inequality, we get:
[tex]\( x \leq 5 - 7 \)[/tex]
[tex]\( x \leq -2 \)[/tex]
This inequality would be represented by a number line shaded to the left of -2, including -2 itself. This does not match the given number line, which is shaded to the right of a point.
B) [tex]\( x + 3 \geq 1 \)[/tex]
Solving this inequality, we get:
[tex]\( x \geq 1 - 3 \)[/tex]
[tex]\( x \geq -2 \)[/tex]
This inequality would be represented by a number line shaded to the right of -2, including -2 itself. However, the inequality sign in the question is non-inclusive, which means -2 itself should not be shaded. This does not match the given number line, which has a shaded circle at the starting point of the shaded region, indicating inclusivity.
C) [tex]\( x - 5 > 2 \)[/tex]
Solving this inequality, we get:
[tex]\( x > 2 + 5 \)[/tex]
[tex]\( x > 7 \)[/tex]
This inequality would be represented by a number line shaded to the right of 7, not including 7 itself. This matches the given number line, which shows the shaded region starting just to the right of 7 (indicated by an open circle at 7).
D) [tex]\( x - 1 \leq 1 \)[/tex]
Solving this inequality, we get:
[tex]\( x \leq 1 + 1 \)[/tex]
[tex]\( x \leq 2 \)[/tex]
This inequality would be represented by a number line shaded to the left of 2, including 2 itself. This does not match the given number line, which is shaded to the right of a point and has an open circle at the starting point of the shaded region.
Therefore, the correct answer is C)[tex]\( x - 5 > 2 \)[/tex], as it accurately describes the shaded region on the given number line.
Find the mean, median, mode, and range of the data set after you perform the given operation on each
data value.
9,7, 12, 13, 9, 3; add 5
(1 pa
mean: 8.8, median: 9, mode: 9, range: 10
mean; 8.8, median: 9, mode: 9, range: 5
mean: 13.8, median: 14, mode: 14, range: 5
mean: 13.8, median: 14, mode: 14, range: 10
Answer:
mean= 8.8
median= 9
mode= 9
range= 10
ANSWER: A
Step-by-step explanation:
Please help me on number 3, 4 and 5 Trigonometry! Please show your work
Answer:
15
Step-by-step explanation:
14^2 + 6^2 = H^2
196 + 36 = H^2
232 = H^2
*Square root both sides*
About 15 = H
Also: H means hypotheses
Write the absolute value equations in the form
x−b
=c (where b is a number and c can be either number or an expression) that have the following solution sets:
a
Two solutions: x=2, x=14.
Answer:
|x - 8| = y + 6
Step-by-step explanation:
The vertex of the equation must be somewhere on the line x = 8, because it is the average of the answers.
If the slope of x is 1, then the vertex is (8, -6)
Plug that into the equation and you get Ix - 8I = y + 6
Answer:
lx-8l=6
RSM said It was right
Step-by-step explanation:
What is the rate of change and initial value for the linear relation that includes the points shown in the table? x y 2 3 4 5 6 7 8 9 Initial value: 1, rate of change: 2 Initial value: 1, rate of change: 1 Initial value: 2, rate of change: 2 Initial value: 3, rate of change: 2
Final answer:
The rate of change is 1 and the initial value is 1.
Explanation:
The table shows the points (2, 3), (4, 5), (6, 7), and (8, 9). To find the rate of change, we can calculate the difference in y-coordinates and divide by the difference in x-coordinates for any two points. Let's take the points (2, 3) and (4, 5) as an example:
The difference in y-coordinates is 5 - 3 = 2.
The difference in x-coordinates is 4 - 2 = 2.
The rate of change is 2 / 2 = 1.
To find the initial value, we can look for the y-coordinate when x is 0 or when the equation is of the form y = mx + b. In this case, the initial value is 1.
NEED HELP AS AS SOON AS POSSIBLE
Answer:
c
Step-by-step explanation:
trust me
Answer:
it is the 3rd one
Step-by-step explanation:
I did this question
Which best describes the line of reflection
Answer:
Option 3
Step-by-step explanation:
The line between the two shapes is 6 units away from the first B point.
Identify the 16th term of a geometric sequence where a1 = 4 and a8 = −8,748... How do I find the value of r????
Answer:
r = -3
16th term: -516560652
Step-by-step explanation:
Let's use the formula for a geometric sequence:
[tex]a_n=a_1r^{n-1}[/tex], where [tex]a_n[/tex] is the nth term, [tex]a_1[/tex] is the first term, and r is the common ratio
Here, we know the first term is 4. To find r, let's plug in 8 for n and -8748 for [tex]a_n[/tex]:
[tex]a_n=a_1r^{n-1}[/tex]
-8748 = 4 * [tex]r^{8-1}[/tex]
-8748 = 4 * [tex]r^7[/tex]
[tex]r^7[/tex] = -2187
r = -3
So we know that the common ratio is -3. Now, we want to find the 16th term, so n = 16:
[tex]a_n=a_1r^{n-1}[/tex]
[tex]a_{16}=a_1*(-3)^{16-1}=4*(-3)^{17}=-516560652[/tex]
Answer:
r = -3
16th term: -516560652
Step-by-step explanation:
Let's use the formula for a geometric sequence:
, where is the nth term, is the first term, and r is the common ratio
Here, we know the first term is 4. To find r, let's plug in 8 for n and -8748 for :
-8748 = 4 *
-8748 = 4 *
= -2187
r = -3
I need help on this can someone help me
Answer:
Answer is 63
Answer is rounded to the nearest tenth place.
Step-by-step explanation:
[tex]area \: of \: sector \: = \frac{theta}{360} \times \pi \: {r}^{2} \\ here \: theta \: = 72 \: degrees \: and \\ radius \: = 10 \\ on \: substituting \: the \: values \: in \: the \: formula \\ area \: of \: sector \ = \frac{72}{360} \times \pi \: {10}^{2} \\ \: \: = \frac{1}{5} \times 100\pi \\ = 0.2 \times 100 \times \pi \\ = 62.83 \\ are \: of \: sector \: is \: approximately \: \\ equal \: to \: 63[/tex]
HAVE A NICE DAY!
THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.
Which of the following pair of right triangles cannot be proven to be congruent? Select all that apply.
seth painted the figure at the right on his wall how many square inches of paint did he use
Answer:
there isn't enough information
Step-by-step explanation:
Need help ASAP please and thank you
Answer:
[tex]-3m^{12}{n^{6} }[/tex]
Step-by-step explanation:
To begin simplifying this, we can first divide the coefficients, giving us:
[tex]\frac{-3m^{5}n^{4} }{m^{-7} n^{-2} }[/tex]
We know that when dividing exponents, this means we need to subtract the exponent on the denominator from the numerator. This gives us:
[tex]\frac{-3m^{5+7} n^{4+2} }{1}[/tex]
Now, simplifying this gets:
[tex]-3m^{12}{n^{6} }[/tex]
Find the solutions of the quadratic equation 3x^2 + 9x + 17 = 0
The solutions of the quadratic equation 3x² + 9x + 17 = 0 are x₁ = (-9 + √(123)i) / 6 and x₂ = (-9 - √(123)i) / 6, where "i" represents the imaginary unit.
To find the solutions of the quadratic equation 3x² + 9x + 17 = 0, we'll use the quadratic formula:
x = (-b ± √(b² - 4ac)) / 2a.
Here, a = 3, b = 9, and c = 17. We'll plug these values into the formula and simplify the expression step-by-step.
Step 1: Calculate the discriminant (Δ) using the formula Δ = b² - 4ac.
Δ = (9)² - 4 * 3 * 17
Δ = 81 - 204
Δ = -123
Step 2: Substitute the values of a, b, and Δ into the quadratic formula.
x = (-9 ± √(-123)) / 2 * 3
Step 3: Since the discriminant (Δ) is negative, the quadratic equation has no real solutions. Instead, it has two complex solutions.
Step 4: Simplify the expression under the square root.
x = (-9 ± √(-123)) / 6
Step 5: Now, we deal with the square root of a negative number, which is denoted by "i" in the complex number system. √(-123) = √(123)i.
Step 6: Substitute the value of √(-123) back into the equation.
x = (-9 ± √(123)i) / 6
Step 7: Divide both the real and imaginary parts by 6 to get the two complex solutions.
x₁ = (-9 + √(123)i) / 6
x₂ = (-9 - √(123)i) / 6
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Final answer:
The quadratic equation 3x^2 + 9x + 17 = 0 has no real solutions because the discriminant is negative. The solutions are complex numbers and can be expressed as x = -3/2 ± √(123)/6 × i.
Explanation:
To find the solutions of the quadratic equation 3x^2 + 9x + 17 = 0, we will use the quadratic formula, which is x = (-b ± √(b^2 - 4ac)) / (2a) for a quadratic equation of the form ax^2 + bx + c = 0. In our case, a = 3, b = 9, and c = 17. Plugging these values into the formula gives:
x = (-(9) ± √((9)^2 - 4(3)(17))) / (2(3))
x = (-9 ± √(81 - 204)) / 6
x = (-9 ± √(-123)) / 6
Since the discriminant (the part under the square root, b^2 - 4ac) is negative, the equation has no real solutions. Instead, the solutions are complex numbers:
x = (-9 ± √(-123)i) / 6
The final solutions can be expressed as:
x = -3/2 ± √(123)/6 × i
Question 2
2. Liliana is renting a beach house for a family vacation. The house charges a $75 cleaning fee plus $95 per night. If Liliana wants to spend a maximum of $645 on the rental, which inequality represents “n”, the number of nights can she afford to rent the beach house?
a. n ≤ 6
b. n ≥ 6
c. n < 5
d. n > 5
A. n ≤ 6
May I have brainliest please? :)
Y = -6x+5 -2x + y =5
Answer:
Y=18x
Step-by-step explanation:
You have to add 6x plus 5 and you get 11x then you have to subtract 2x from that 11x to get 9x then you have to add 4 plus 5 and you get 9 and add 9x +9 and you get 18x. So Y=18x
If i am wrong i am sorry i am just trying to help but tell me whether i am right or wrong.
621/87 can anybody help me
Answer:
621/87=7.13793103448
Step-by-step explanation:
I divided it and got this answer
Answer: 621 divided by 87 is 7 with the remainder of 12.
Step-by-step explanation:
Mr. Whittaker’s science class uses tide gauges to measure annual variations in water levels at different parts of a river, and then compares those variations to the average annual trend. Matea recorded that the water level in one part of the river fell 1.05 millimeters per year for 2.48 years. This data will be compared to the average annual trend, which shows the water level rising 1.8 mm/year. Which number represents the rate at which the water level fell? Which number should the rate be multiplied by to find the total variation in water level?
I got the correct answers! :)
The rate at which the water level fell is 1.05 mm/year. To find the total variation in water level, multiply this rate by 2.48 years, giving a total variation of 2.604 mm.
Explanation:In Mr. Whittaker's science class, Matea recorded that the water level in one part of the river fell by 1.05 millimeters per year. This number - 1.05 millimeters - represents the rate at which the water level fell each year. To find the total variation in water level over the 2.48 years, you would multiply the rate (1.05 mm/year) by the time (2.48 years). So, the solution would be: 1.05 mm/year * 2.48 years = 2.604 mm. This results in a total variation of 2.604 millimeters over the 2.48 years. This total variation can now be compared to the average annual trend which is a rise of 1.8 mm/year.
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Kiley is replacing the top of a circular table with glass. The circumference of the table is between 6.28 feet and 12.56 feet. According to the graph, what is the range of areas of round glass she might need?
Radii, Circumferences, and Areas
Circumference (feet). Area (square feet).On a coordinate plane, the x-axis is labeled Radius (feet). A line representing the circumference goes through (0, 0), (1, 3.14), and (2, 12.56). A curve line representing the area goes through (0, 0), (1, 3.14), and (2, 12.56).
3.14 feet squared to 12.56 feet squared
1 foot squared to 2 feet squared
1 foot squared to 4 feet squared
3.14 feet squared to 6.28 feet squared
Answer:
The range of areas is 3.14ft^2- 12.56ft^2
Step-by-step explanation:
I don't know which graph the question is referencing but I found the range of areas this way
first I found out what the range of radius would be
since the circumference is pi*diameter
So to find the diameter I did the individual areas divided by pi
6.28/3.14=2
12.56/3.14=4
So the range of diameters is 2 to 4 this means the range of radius's are 1 to 2
Since area of a circle is r^2*pi
This means the range of areas is
1^2*3.14=3.14
2^2*3.14=12.56
So the range of areas is 3.14ft^2 to 12.56ft^2
Answer:
B
Step-by-step explanation:
sorry this doof was being confusing
Express the height of the tree in terms of trigonometric ratios.
A) 50tan90°
B) 50sin90°
C) 90sin50°
D) 90tan50°
Can anybody show me the steps to answering this question? 7x - 2z = 4 - xy
(solve for x)
Answer: 2z+4/y+7
Step-by-step explanation:
We are trying to solve for x
7x-2z=4-xy
Add xy to both sides:
7x-2z+xy=-xy+4+xy= xy+7x-2z=4
Then you add 2z to both sides:
xy+7x-2z+2z=4+2z
xy+7x=2z+4
Then you factor out variable x
x(y+7)=2z+4
You divide both sides by y+7
x(y+7)/y+7= 2z+4/y+7
Which we would get x=2z+4/y+7
Like terms are those terms that are having the same variables, also the variables are of the same order as well. The value of the x can be written as (4 + 2z)/(7 + y).
What are Like terms?Like terms are those terms that are having the same variables, also the variables are of the same order as well.
for example, 25x and 5x are like terms; 30xy and 7xy are like terms, 9x³ and 4x² are not like terms, etc.
7x - 2z = 4 - xy
Bring like terms together,
7x + xy = 4 + 2z
Take x as common from the left side of the equation,
x(7 + y) = 4 + 2z
x = (4 + 2z)/(7 + y)
Hence, the value of the x can be written as (4 + 2z)/(7 + y).
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Use the bar graph to find the experimental probabily of the events.
A. The experimental probabily of spinning a number greater than 3 is ___
B. The experimental probability of spinning an odd number is ___
Answer:
A. 2/5
B. 3/5
Step-by-step explanation:
Express the product of 500 and 400 in scientific notation
Answer:
A
Step-by-step explanation:
Scientific Notation
The scientific notation for the product of 500 and 400 is 20 × [tex]10^4[/tex] and this can also be written as 2.0 × [tex]10^4[/tex]. So, options A and D are correct.
How to represent in Scientific notation?This is a way of writing very large numbers or very small numbers in the form of a number multiplied by a power of 10.In general form: a × [tex]10^b[/tex] where a is called as coefficient and b is called the exponent and 10 is the base. Where b is a positive integer for very large numbers and b is a negative integer for very small numbers.Calculating the product:Given numbers are 500 and 400
Their product is 500 × 400 = 200000
This is a large number.
So, the power of 10 is positive and the scientific notation is written as:
200000 = 20 × [tex]10^4[/tex]
= 2.0 × [tex]10^5[/tex]
Therefore, options A and D are correct. The product of 500 × 400 = 20 × [tex]10^4[/tex] = 2.0 × [tex]10^5[/tex].
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I’m pretty sure it’s x=9, but I want to be sure.
Answer:
x=9
Step-by-step explanation:
3 ^ (x-4) = 243
Rewrite 243 as a power of 3
3 ^ (x-4) =3^5
Since the bases are the same, the exponents are the same
x-4 =5
Add 5 to each side
x-4+4 = 5+4
x=9
The diameter of a circle is 14 inches. Find the circumference.
Use 22/7 or 3.14 for π.
Please show work! I will give brainliest!
Answer:
43.96 inches
Step-by-step explanation:
when you have the diameter of a circle, you just multiply it by pi and you will get the answer. since your diameter is 14, you multiply it by 3.14 and you will get 43.96 inches
Using π as 3.14, the circumference of the circle with a diameter of 14 inches is approximately 43.96 inches. This level of precision is suitable for most practical applications.
To find the circumference (C) of a circle, you can use the formula C = πd, where d is the diameter. In this case, the diameter is given as 14 inches.
Given the options of using either 22/7 or 3.14 for π, let's use 3.14 for this calculation.
C = 3.14 × 14
≈ 43.96 inches
Therefore, the circumference of the circle is approximately 43.96 inches when using π as 3.14. This means that if you were to wrap a string around the edge of the circle, it would take nearly 43.96 inches of string to complete one full loop.
It's important to note that using 22/7 for π is another approximation and yields a slightly different result, but for most practical purposes, 3.14 is accurate enough.
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The stained glass window below is a semicircle. What is the distance around the window to the nearest hundredth of an inch? Use 3.14 for π.
The distance around the window is 92.52 inches.
What is a semicircle?A semicircle is a one-dimensional locus of points that forms half of a circle. It is a circular arc that measures 180°. It has only one line of symmetry.
Given that, The stained-glass window is semicircular and the bottom edge of the window is 36 in.
We get that, diameter of the window = 36 in
radius = 18 in
Circumference of semicircle = r(2+π)
= 18(2+3.14)
= 92.52 in
Hence, The distance around the window is 92.52 inches.
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The volume of a cube is 343 centimeters cubed. Whats the area of its base?
Answer:
49
Step-by-step explanation:
If the volume of a cube is 343 cubic centimeters, then the length of one of the edges must be 7, because 7^3=343. If the side length is 7, then the area of the square base is 7^2=49 square centimeters. Hope this helps!
please answer all the questions
Answer:
Step-by-step explanation:
30-3024-30181-16248Hunk travelled 540 km at an average speed of 90 km/h. If Tim
completed the same amount of distance with 1 hour and 30 min less
than Hunk, what was Tim's average speed for the whole journey?
km/h
Answer: 120 km/h
Step-by-step explanation:
Hi, to answer this question, first, we have to calculate Hunk's time spent on his travel.
Speed rate = distance /time
Time = distance /speed = 540/ 90 =6 hours
Now, since Tim completed the same amount of distance with 1 hour and 30 min less (1.5) we have to subtract 1.5 hours to Hunk's time to calculate Tim’s time:
6-1.5 = 4.5 hours
Tim's speed rate = distance /time
s = 540/4.5 = 120 km/h
Feel free to ask for more if needed or if you did not understand something.
Photo is above. Show work thank you. Questions at bottom.
Mary wants to make a box. She starts with a piece of cardboard whose length is 15 centimeters and width is 10 centimeters. Then she cuts 4 congruent squares with sides of 3 centimeters at the four corners and folded at the broken lines to make a box.
1) what is the surface area of the box?
2) What is the volume of the box?
3) Explain how you determined the surface area and volume.
Answer:
surface are: 300 cm2
volume: 450cm3
Step-by-step explanation:
Hi, to answer this question we have to apply the next formulas:
Surface area of a box = 2wl + 2hw + 2 lh
Where w is the width of the box, l is the length of the box, and h is the height of the box.
The top sides and bottom have only length and width, since there is no top side, the surface area is equal to the outer 5 surfaces.
S = wl + 2hw + 2 lh
Replacing with the values given:
S = (15x10)+ 2(3x10)+ 2(15x3)
S = 150+60+90=300 cm2
For the volume we simply apply:
Volume of a rectangular prism: length x width x height
V = 15x10x3 = 450cm3
Feel free to ask for more if needed or if you did not understand something.
2.3 THINK: Florida Part 2
77
In 1840, the population of Florida was about 54,500. Between 1840 and 1860,
the population grew exponentially, increasing by about 60% each decade.
The number of decades can be calculated when estimating population.
1. How many decades are represented between 1840 and 1850?
2. How many decades are represented between 1840 and 1860?
Reply as 1-2
Answer:
1). 1 decade
2). 2 decades
Step-by-step explanation:
Number of years in decade = 10 years
1). When we are calculating the population of Florida between 1840 to 1850,
Number of years between 1850 and 1840 = 1850 - 1840
= 10 years
So number of decades between 1840 and 1850 = [tex]\frac{10}{10}[/tex] = 1 decade
2). Number of years between 1840 and 1860 = 1860 - 1840
= 20 years
Therefore, number of decades between this gap = [tex]\frac{20}{10}=2[/tex] decades
What is the slant height x of the square pyramid?
The figure shows a square pyramid. The slant height is shown as a dashed line perpendicular to the base edge and is labeled as x. The length of the lateral edge is 8 meters. The lateral edge makes a 60 degree angle with the base edge
Enter your answer in the box. Express your answer in radical form.
x = m
Answer:
4√3
Step-by-step explanation:
sorry that I was late I just taken it sorry
Prisms are 3-D shape with triangles and a base. The value of x from the diagram in radical form is 4√3
SOH CAH TOA identityFrom the given figure, we are to find the value of "x". To do this, we will use the identity
Given the following parameters
slant height = 8m
Opposite side = x
Determine the value of "x"
Sin 60 = x/8
x = 8 sin60
x = 8 * √3/2
x = 4√3
Hence the value of x from the diagram in radical form is 4√3
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