Answers
The expression that correctly shows the number sentence - the square of the sum of 6 plus b is greater than 10 - is option (a) - [tex](6+b)^{2} > 10[/tex]
A mathematical statement made up of a relational symbol (=, >, <, etc.) and of two expressions is called a number sentence is . An equation is a number sentence whose relational symbol is the equal sign.
The given number sentence is an example of mathematical expressions in one variable.
Here, the variable given is 'b'.
According to the question,
The sum of 6 plus b can be represented as = 6 + b
And, the square of the sum of 6 plus b can be represented as = [tex](6+b)^{2}[/tex]
This value is greater than 10.
This means, [tex](6+b)^{2} > 10[/tex]
All other expressions are wrong interpretations of the given number sentence.
The correct answer is option (a) - [tex](6+b)^{2} > 10[/tex]
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Related Questions
Pls solve and show each step
Thx
Answers
The perimeter of triangle MNO is given as follows:
17.2 in.
What are similar triangles?Similar triangles are triangles that share these two features listed as follows:
Congruent angle measures, as both triangles have the same angle measures.Proportional side lengths, which helps us find the missing side lengths.Applying the Pythagorean Theorem, the side length x of triangle MNO is given as follows:
x² = 4² + 6²
x² = 52
x = square root of 52
x = 7.2 in.
Hence the perimeter of triangle MNO is given as follows:
4 + 6 + 7.2 = 17.2 in.
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A couple of two-way radios were purchased from different stores. Two-way radio A can reach 3 miles in any direction. Two-way radio B can reach 6.44 kilometers in any direction.
Part A: How many square miles does two-way radio A cover? Use 3.14 for π and round to the nearest whole number. Show every step of your work. (3 points)
Part B: How many square kilometers does two-way radio B cover? Use 3.14 for π and round to the nearest whole number. Show every step of your work. (3 points)
Part C: If 1 mile = 1.61 kilometers, which two-way radio covers the larger area? Show every step of your work. (3 points)
Part D: Using the radius of each circle, determine the scale factor relationship between the radio coverages. (3 points)
Answers
Answer:
don't copy this word for word, but here's the answers and reasons you can use
also mark me brainliest if this helps pls
Step-by-step explanation:
Part A:
The area covered by a circle is given by the formula:
A = πr^2
where r is the radius of the circle.
For two-way radio A, the radius is 3 miles. So we have:
A = π(3)^2
A ≈ 28.27 square miles
Therefore, two-way radio A covers approximately 28 square miles.
Part B:
For two-way radio B, the radius is 6.44 kilometers. However, the formula for the area of a circle uses the squared value of the radius, so we need to square 6.44:
A = π(6.44)^2
A ≈ 130.23 square kilometers
Therefore, two-way radio B covers approximately 130 square kilometers.
Part C:
To compare the two areas, we need to convert the area covered by two-way radio A to kilometers:
1 mile = 1.61 kilometers
So 3 miles is equivalent to:
3 miles x 1.61 kilometers/mile = 4.83 kilometers
The area covered by two-way radio A in square kilometers is:
A = π(4.83)^2
A ≈ 73.03 square kilometers
Comparing the areas, we see that two-way radio B covers the larger area.
Part D:
The scale factor relationship between the radio coverages is the ratio of their radii. Using the given conversion factor, we can convert the radius of two-way radio A to kilometers:
3 miles x 1.61 kilometers/mile = 4.83 kilometers
So the scale factor relationship is:
4.83 km (radius of two-way radio A) / 6.44 km (radius of two-way radio B)
= 0.75
This means that the coverage area of two-way radio B is approximately 0.75 times the coverage area of two-way radio A.
Given that A couple of two-way radios were purchased from different stores. Two-way radio A can reach 3 miles in any direction. Two-way radio B can reach 6.44 kilometers in any direction.
A) two way radio A can cover 28 square miles. (using area of circle)
B) two way radio B can cover 132 square kilometer. (using area of circle)
C) Area of coverage of radio B is more.
D) Using the radius of each circle, the scale factor relationship between the radio coverages of A and B is 3:4.
Area of a circle is given by the formula [tex]\pi r^2[/tex].
A) radius of radio A = 3 miles
Area of coverage = [tex]\pi r^2 = 3.14 *3*3 = 28.26[/tex] sq miles
B) radius of radio B = 6.44 km
Area of coverage = [tex]\pi r^2 = 3.14 *6.44*6.44 = 130.22[/tex] sq km
C) 1 mile = 1.61 km
1 sq mile = 1.61 km * 1.61 km = 2.5921 sq km
Area of coverage of radio A = 28.26 sq miles = 28.26 *2.5921 = 73.25 sq km
On comparison, area of coverage of radio B is more.
D) 1 mile = 1.61 km
radius of radio A = 3 * 1.61 = 4.83 km
scalar factor relationship between radio A and B = [tex]\frac{4.83}{6.44} = 3:4[/tex]
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Is this figure a polygon? Explain.
Answers
Answer: No.
Step-by-step explanation:
A polygon is a closed shape with no curved side. We see four curved sides in this shape, so this figure is not a polygon.
find the area of the faces of the prism
Answers
Answer:
I think it's 90
Step-by-step explanation:
multiply base x height (9x5)
which = 45
and then multiply that by 2
which = 90
i hope this helped.
SPAM AND ILL DELETE UR ANSWER! GIVING 72 POINTS! PLEASE HELP ME!!! What conclusion can be determined from the dot plot below? A dot plot showing five dots above 9, six dots above 10, three dots above 11, and one dot above 12. (3 points) The number of observations is 10. The median of the data set is 10. The mean of the data set is 15. The range of the data set is 12.
Answers
Answer:
The conclusion that can be determined from the dot plot is that:
The number of observations is 15, as there are 5+6+3+1=15 dots in total.
The median of the data set is 10, as it is the middle value when the data is arranged in order.
The mean of the data set cannot be determined from the dot plot.
The range of the data set is 12, as it is the difference between the highest value (12) and the lowest value (9) in the data set.
Hope this Helps!
The number of observations is 15, as there are 5+6+3+1=15 dots in total.
The median of the data set is 10, as it is the middle value when the data is arranged in order.
The mean of the data set cannot be determined from the dot plot.
The range of the data set is 12, as it is the difference between the highest value (12) and the lowest value (9) in the data set.
help me it due in 30 min
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Answer:
(geometry) A parallelogram having all sides of equal length
I need help this is due today
Answers
Which of the following tables represents a linear relationship that is also proportional?
x −1 2 5
y −1 0 1
x −2 −1 0
y −1 0 1
x −2 −1 0
y −4 −2 0
x −4 −2 1
y −2 0 3
please be frl!!
Answers
Answer:
x -2 -1 0
y -4 -2 0
Here, y = 2x.
This linear relationship is also proportional.
Please Help Me This is due today
Answers
Answer:
A
Step-by-step explanation:
the formula is A=πr2!!! So since diameter is 10, 10/2 = 5 that means 5 is the radius, 5^2 = 25, 25*π = 78.54
Your welcome!
The area of this figure = _______ m2.
a right triangle with long side of 11 meters, short side of 7 meters
5.0
38.5
18.0
77.0
Answers
Answer:
area=38.5 m^2
Step-by-step explanation:
11×7=77
77÷2=38.5
area=38.5m^2
Please answer the question
Answers
Answer:
the water tower is 143 3/4 feet
Step-by-step explanation:
5ft 9in height
4ft silhouette
Convert 9in to ft = 9/12 so height = 5 9/12 = 23/4
Ratio of height to silhouette is (23/4) / 4
X = 100 the height of the building
Set up a proportion (23/4)/4 = X/100
X = 143 3/4 ft
Darrel has 200 cm2 of wrapping paper. Which object below can be wrapped with the least amount of paper left over?
Answers
The answer should be C, please tell me if I'm wrong.
Answer:
C
Step-by-step explanation:
Ok yea
The dot plot below represents how long it takes students in an 8th grade math class to get to school every morning. please help me
Answers
Answer:
40
Step-by-step explanation:
Highest Value in the data set - Lowest Value in the data set = Range, so...
45 minutes - 5 minutes = 40 minutes
PLEASE HELP! DUE TODAY
Answers
Answer: Count all the sides and the answer will be 4.5+2+2+4+5.5+1.5+1+7.5, which is equal to 26.5 (I think, I didn’t use a calculator)
The perimeter of the figure shown on the coordinate plane is 56 units.
What is Perimeter?Perimeter of a straight sided figures or objects is the total length of it's boundary.
Given is a figure.
Perimeter of a figure is the total length of the boundary.
We have to find the length of each of the sides and then add it to get the perimeter.
Each line on the coordinate plane represents 2 units.
Perimeter adding the sides from the bottom, we get,
Perimeter = 2 + 3 + 11 + 8 + 4 + 4 + 9 + 15
= 56 units
Hence the perimeter of the figure is 56 units.
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2-step equation(explination need please and thank you )
x-4/3>10
Answers
Answer:
x > 7.5
Step-by-step explanation:
1. Multiply the reciprocal of 4/3 to both sides (3/4)
- x> 10/1 x 3/4
- x >30/4
2. Simplify the equation:
- x > 30/4
- x > 7 2/4
7 2/4 - 7.5
ANSWER = x > 7.5
A line on a graph is represented with the equation y= -3x-9. What is the equation for the image of this line after a reflection over the mirror line y=x ?
Answers
Answer:
O y=-1/3x-3 is the answer i think
WILL GIVE BRAINLIESTT!! 13 Points! HURRYYY! Madison is monitoring the temperature over several hours.
Loook at pic attachment.
Her data are shown in the table. She draws a line of best fit with the equation y = -6.2x + 64, where x represents the hour and y represents the temperature.
Describe the meaning of the slope and y-intercept in this context
A. The slope applied to this situation is the temperature drops 6.2 degrees per hour. The y-intercept means at hour 0 (start of recording data), it was a temperature of 64 degrees
B. The slope applied to this situation is the temperature drops 6.2 degrees per hour The y-intercept means at hour 1, it was a temperature of 6.2 degrees
C. The slope applied to this situation is the temperature drops 64 degrees per hour. The y-intercept means at hour 0, it was a temperature of 6.4 degrees
D. The slope applied to this situation is the temperature drops 6.2 degrees per 2 hours. The y-intercept means at hour 2, it was a temperature of 64 degrees
Answers
Answer:
Step-by-step explanation:
The correct answer is A.
In the context of this situation, the slope of -6.2 means that the temperature drops 6.2 degrees for every hour that passes. The negative sign indicates that the temperature is decreasing over time.
The y-intercept of 64 means that at hour 0 (the start of recording data), the temperature was 64 degrees. This is the initial value of the temperature, before any time has passed.
The slope and y intercept describes that
The slope applied to this situation is the temperature drops 6.2 degrees per hour. The y-intercept means at hour 0 (start of recording data), it was a temperature of 64 degrees.
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the
change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
We have,
The line of best fit with the equation y = -6.2x + 64, where x represents the hour and y represents the temperature.
As, we know that the slope shows the rate of change of one quantity with respect to another quantity.
Here, the slope -6.2 tells us that the temperature drops 6.2 degrees per hour.
and, the y intercept tells us that at 0 hour the temperature is 64 degree.
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Solve below pls show work
Answers
Answer:
i believe its 90cm^2
Step-by-step explanation:
20x3/4=15 (reduce side 1)
8x3/4=6 (reduce side 2)
6x15=90 (multiply the sides to find the area)
solve systems using elimination (x + 5y= 28) ( -x - 2y = -13)
Answers
srry this needs to be 20 chars long for me to post it
Answer:
5
Step-by-step explanation:
5y=28-x
x=-2y+13
5y=28+2y-13
5y=15+2y
3y=15
y=5
Covert the following fractions to decimals using long division:
Answers
Answer:
Step-by-step explanation:
1. 0.4
2. 0.33
3. 0.78
4. 0.82
Answer:
1. 0.4
2. 0.33.....
3. 0.78
4. 0.82
Step-by-step explanation:
1)2÷5
2)1÷3
3)7÷9
4)9÷11
Of the students at Milton Middle School, 216 are girls. If 60% of the students are girls, how many total students are there at Milton Middle school?
you will be the brainliest
Answers
Answer:
360
Step-by-step explanation:
x*60/100=216
60x=21600
x=21600/60
x=360
360 students are thee in Milton Middle School.
Step-by-step explanation:Number of girls in Milton Middle School = 216
Percentage of girls in Milton Middle School = 60%
From the above information we can know that 216 = 60% of Milton Middle School.
1% of students in the school = 216/60
= 3.6
100% of students in the school = 3.6 * 100
= 360 students
Or
Total number of students in Milton Middle School = 216/60 * 100
= 216/6 * 10
= 36 * 10
= 360 students
Please mark my answer as the BRAINLIEST. Plsssssssssssssssss
Hope my answer helps you.
:)
Which angle is complementary to CFD?
Answers
Answer:
Step-by-step explanation:
Pls solve with all steps shown
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Answer:
just do 4in + 2.5 and 5 + 2.5
Step-by-step explanation:
4+2.5=6.5 and 5 + 2.5=7.5
When the fraction below is written as a decimal, how many digits are in the smallest sequence of repeating digits?
1/11
A. 0
B. 1
C. 2
D. 3
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Answer:
Step-by-step explanation:
D
Find the probability of neither showing
multiple of 3 nor multiple of 4 on the second die
Answers
Answer:
the probability of neither showing a multiple of 3 nor a multiple of 4 on the second die is 17/36, or approximately 0.4722
Step-by-step explanation:
To find the probability of neither showing a multiple of 3 nor a multiple of 4 on the second die, we need to first determine the sample space of possible outcomes.
The sample space of rolling two dice is given by all possible pairs of numbers from 1 to 6, which has a total of 6 x 6 = 36 possible outcomes.
Out of these 36 possible outcomes, there are 12 outcomes where the second die shows a multiple of 3 (namely 3, 6, and 9), and 9 outcomes where the second die shows a multiple of 4 (namely 4 and 8).
However, we must note that there are two outcomes where the second die shows both a multiple of 3 and a multiple of 4, namely (3,4) and (6,4). We need to subtract these two outcomes from our total count.
Therefore, the number of outcomes where the second die shows a multiple of 3 or a multiple of 4 or both is 12 + 9 - 2 = 19.
The number of outcomes where the second die does not show a multiple of 3 or a multiple of 4 is the complement of the above count, which is 36 - 19 = 17.
Therefore, the probability of neither showing a multiple of 3 nor a multiple of 4 on the second die is 17/36, or approximately 0.4722.
Need help ASAP will give Brainliest to the first one that answers
Answers
Answer:
Veggies = 700
Fruit = 300
Carbs = 500
Protein = 500
Veggies is 700
Carbs is 500
Fruits is 300
A plane intersects a right rectangular pyramid. The base of the pyramid has a length that is twice its width. Which of the following shapes could describe the intersection of the plane and the pyramid?
Responses
a square
a triangle
a trapezoid
a non-square rectangle
a non-regular pentagon
Answers
Answer: CCCCCCCCC
Step-by-step explanation:
The equation y=2000x represents the number of miles, y, that the satellite Space Explorer flies in x hours. Find the rate of change.
Answers
Answer: 2000 miles in 1 hour.
write 1 half and two thirds as fractions with denominators of 6. Then add the renamed fractions. Write the answer as a mixed number
Answers
Answer:
Step-by-step explanation:
1/2 = 3/6 (1x3 and 2x3 to make the denominator 6) 2/3 = 4/6 (2x2 and 3x2 to make the denominator 6) 3/6 + 4/6 equas 7/6. 7/6 equals 1 1/6 as a mixed number
Question Solve for x. −43x+16<79 Drag and drop a number or symbol into each box to correctly complete the solution. Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse. x Response area Response area
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Answer:
Step-by-step explanation: