We start with
[tex]\sqrt{2x+4}=16[/tex]
Since both sides of the equality are positive, we can square them to get
[tex]2x+4=256[/tex]
Subtract 4 from both sides and then divide both sides by 2:
[tex]2x+4=256 \iff 2x=252\iff x=126[/tex]
Answer:
x=126
Step-by-step explanation:
-10+16÷(-2)+7
please help!
AC =
Round your answer to the nearest hundredth.
65
Answer:2.96
Step-by-step explanation:
What is 922 divided by 26 with a remainder
Answer:
20.0434
Step-by-step explanation:
A paint can has a radius of 4 inches and a height of 15 inches. What is the volume of the paint can? Round to the nearest
tenth. Use 3.14 for
cubic inches
Answer:
Step-by-step explanation:
Shape of the can is cylinder
r = 4 in
h = 15 in
Volume =πr²h
= 3.14* 4 * 4 * 15
=753.6 cubic inches
- 7х — бу = 4
= – 3y + 8
×=
y=
the cost of a train ticket increases by 10% to £19.25 what was the original cost
100% : 110%
x : 19.25
(cross multiply)
answer: 17.5
hope this helps
Fill in the blanksFor any line graphed on a coordinate plane, similar prove that the slope of the line is the same between any pair of points that lie on the line.
Blank 1
Squares, right triangles , or circle
Blank 2
never ,sometime, always
Answer: right triangles
always
Step-by-step explanation:
Answer:
right triangles
Always
Step-by-step explanation:
Slope is rise/run which is the same for all two points on the line. The right triangles are formed using two points on the line
The correlation coefficient that models the relationship between the amount of time Jason spends working out and the amount of weight he loses is −0.9547. What is the correct interpretation of this number?
Answer:
The correlation coefficient is close to -1. There is a strong negative correlation between the amount of time spent working out and the amount of weight lost.
Step-by-step explanation:
I did it on USATestprep. -0.9547 is close to -1. This indicates a strong negative correlation. When the workout time increases, Jason's weight decreases.
Final answer:
The correlation coefficient of -0.9547 indicates a strong and inverse relationship between the amount of time Jason spends working out and the amount of weight he loses.
Explanation:
The correlation coefficient that models the relationship between the amount of time Jason spends working out and the amount of weight he loses is -0.9547. This negative correlation coefficient indicates a strong and inverse relationship between the two variables. It means that as the amount of time Jason spends working out increases, the amount of weight he loses decreases.
there are 3 basketball leagues.Each league has 8 teams.each team has 13 players.how many players are in all 3 leagues?
a.200
b.312
c.450
d.150
Answer:
312
Step-by-step explanation:
its easy
The diameter of a circle is 8 kilometers. What is the circle's circumference?Use 3.14 for
Circumference: pi x diameter
8 x 3.14 = 25.12
Therefore, the circumference of the circle is 25.12 kilometers.
The circumference of a circle with a diameter of 8 kilometers is 25.12 kilometers.
Explanation:The formula to calculate the circumference of a circle is C = πd, where d is the diameter. In this case, the diameter is given as 8 kilometers. So, we can substitute this value into the formula:
C = 3.14 x 8 = 25.12 kilometers
Therefore, the circumference of the circle is 25.12 kilometers.
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The rectangle below was enlarged using a scale factor.
A rectangle with width 1.6 centimeters is enlarged to a rectangle with length 25 centimeters and width 8 centimeters.
What is the area of the original rectangle?
8 cm²
20 cm²
25 cm²
40 cm
Answer:
A. 8 cm²
Step-by-step explanation:
You can find the length of the original rectangle with ratios:
1.6 : x
8 : 25
Using this, we get:
25/(8/1.6)=x
25/5=x
x=5
Then we multiply length by width.
5*1.6=8
The original rectangle had an area of 8 cm²
The area of the original rectangle is 40 cm².
Explanation:To find the area of the original rectangle, we need to know its original length. Since we are given the width and scale factor, we can calculate the original length. If the new width is 8 cm and the scale factor is 25/1.6, then the original length would be 1.6 × (25/1.6) = 25 cm. Therefore, the area of the original rectangle is length × width = 25 cm × 1.6 cm = 40 cm².
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A worker's wage (w) is directly proportional to the number of hours (h) worked. If $71.25 is earned for working 5 h, how much is earned for working 23 h?
Answer:
The amount earned is $327.75
Step-by-step explanation:
If the workwr working for 5h gets $71.25, then his working for 1 hour could be said to be x.
5h = $71.25
1h = x; cross multiplying would result in
x= [tex]\frac{($71.25*1)}{5h}[/tex]
x= $14.25 which is the pay for 1h
Therefore for 23 h the worker would earn
23* 14.25 = $327.75
The function f(x)is graphed above. Which of the graphs below represents the function g(x)=(x+1)^2
Answer:
The function g(x) = (x + 1)² is represented by the graph Y
Step-by-step explanation:
The question presents the graph of the function x² above
Therefore, for a function f(x) = x² at x = 0 y = 0
For function g(x) = (x + 1)² when x = 0 g(x) = 1 Satisfied by graph W and Y
Also we have g(x) = (x + 1)² = x² + 2·x + 1 or g(x) = f(x) + 2·x + 1
We find the minimum of the graph by differentiating and equating to zero as follows;
[tex]\frac{\mathrm{d} (x + 1)^{2}}{\mathrm{d} x} = 2x +2 = 0[/tex]
Therefor, the minimum is at x = -1 satisfied by only graph Y
Hence the graph that represents the function g(x) = (x + 1)² is the graph Y.
Mr. Alvarez makes a walkway out of three summer slabs he uses 14 ft.³ of cement to make the walkway each square slab has a volume of 4 ft.³ how many cubic feet of cement is the middle slab
Answer:
6 ft³
Step-by-step explanation:
In this case, there are two square slabs and a rectangular cement slab in the middle. If each of the square slabs has a volume of 4 ft.³ and all three slabs have a total volume of 14 ft.³, then the middle slab has a volume of:
[tex]V = 14 - 4 -4\\V=6ft^3[/tex]
The middle slab has a volume of 6 ft³.
Answer:
6
Step-by-step explanation:
cuse i just got it right on iready
Please help me out on this !
how long did it take the airplanes to reach 12,000 ft?
Answer:it didnt
Step-by-step explanation:
How many solutions can be found for the linear equation?
(3x +12) - 1 - (4x + 16)
A)no solutions
B)one solution
C)two solutions
D)infinitely many solutions
Solve 6 +5(m + 1) = 26.
Answer:
m = 3
Step-by-step explanation:
First, distribute the 5 to the values inside the parentheses.
6 + 5m + 5 = 26
Combine like terms: 5m + 11 = 26
Then, you want to isolate the variable so you subtract 11 from both sides because what you do on one side must be done to the other.
5m + 11 - 11 = 5m
26 - 11 = 15
5m = 15
Then divide both sides by 5.
5m / 5 = m
15 / 5 = 3
m = 3
Answer:
m=3
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation
i need help with this thank you in advance
Answer:
The answer is D.
Explanation:
(70)^ 1/2 = 8.366600265
√70 = 8.36600265
in the figure below ac and bd are diameters of circle p, what is the arc measure of bdc in degrees?
The arc measure BDC that subtend the angle at the center P of the circle is 213 degrees
How to find an angle of an arc in a circle?The arc measure of angle BDC is as follows;
AC and BD are the diameter of the circle.
∠BPD ≅ ∠APD
Therefore,
4k + 159 = 2k + 153
4k - 2k = 153 - 159
2k = -6
k = -6 / 2
k = -3
4(-3) + 159 = 147°
∠BPD ≅ ∠APD = 147°
Hence,
∠BPA ≅ ∠CPD = 33°
arc BDC = 33 + 147 + 33 = 213 degrees
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Staceys family is moving from Seattle, Washington to Houston, Texas. The distance from Seattle to Houston is 2,430. They have decided to drive 220 miles before lunch and 185 miles after lunch during each day of travel. What is the number of days they will they need to travel from Seattle to Houston.
Answer:
6 days :D
Step-by-step explanation:
So first you need to find out how much they drive each day : 185+220=405
Then you divide 405 with 2430 to find out how many days they need to travel..which is 6.
Francesca's window store made a mosaic for the community center. The mosaic had a 6 × 6 array of different color square tiles. If each tile is 2 1 4 ft long, what is the area of the whole mosaic?
The correct value of the length of a side = 2¼ ft
Answer:
area of the whole mosaic = 182.25 ft²
Step-by-step explanation:
We are told it has a 6 x 6 array of different colour square tiles.
Which means it has 6 x 6 = 36 square tiles.
Area of square = L²
Where L is length of side
Now, since length of one tile is 2¼ ft long.
Thus, area of one square tile = (2¼)²
= 81/16 ft²
Since there are 36 tiles,
Thus ;
Total area ; 81/16 x 36 = 182.25 ft²
Final answer:
The area of one tile in the mosaic is 5.0625 ft², and because there are 36 tiles in the mosaic, the total area is 182.25 ft². Mosaics are an ancient and durable art form requiring significant skill to create, especially when using small tesserae.
Explanation:
Francesca's window store created a mosaic for the community center that consisted of a 6 × 6 array of square tiles. To find the area of the whole mosaic, we need to calculate the area of one tile and then multiply it by the total number of tiles in the array.
Firstly, we have been given that each tile is 2 1/4 ft in length. Since the tiles are square, the area of one tile will be (2 1/4 ft) × (2 1/4 ft). In decimal form, 2 1/4 ft is equal to 2.25 ft. The area of one tile is therefore:
2.25 ft × 2.25 ft = 5.0625 ft²
Since there are 36 tiles (6 tiles in each direction), the total area of the mosaic will be:
5.0625 ft² × 36 = 182.25 ft²
Mosaics require considerable skill and time to create, especially when they employ tiny tesserae. As seen throughout history, mosaics have been used to decorate many surfaces, such as those in Francesca's example. The durability and artistic value of mosaics continue to make them a popular choice for artistic expression in structures like the community center.
I need to learn how to write algebraic equations. For example:
Three less than sixty divided by a number is twenty-three
Answer:
(60-3)/n = 23
Step-by-step explanation:
Micaiah places coins in the order of penny, nickel, dime, penny, nickel, dime, and so on, as shown, so that each row contains one more coin than the previous row. What is the total value in cents of all coins in the 12th row?
Answer: 64 total cents in the 12th row
Step-by-step explanation:
Answer:
64
Step-by-step explanation:
There is 64 total cents in the 12th row. We can figure this out by adding a nickel, a dime, and a penny. So, this gives us 1 + 5 + 10, which equals 16. The 12th row consists of 4 sets of 3 consecutive coins, so we take 16 and multiply it by four. So the final answer is 64.
The proportions of multiple samples of registered voters who vote are normally distributed, with a mean proportion of 0.38 and a standard deviation of 0.0485. What is the probability that a sample chosen at random has a proportion of registered voters who vote between 0.37 and 0.39
Answer:
B. 17%
Step-by-step explanation:
The probability that a sample chosen at random has a proportion of registered voters who vote between 0.37 and 0.39 is given by the z-score and P ( 0.37 < x < 0.39 ) = 16.32 %
What is a z-score?The relationship between a value and the mean of a set of values is expressed numerically by a Z-score. The Z-score is computed using the standard deviations from the mean. A Z-score of zero indicates that the data point's score and the mean score are identical.
The Z-score is calculated using the formula:
z = (x - μ)/σ
where z: standard score
x: observed value
μ: mean of the sample
σ: standard deviation of the sample
Given data ,
Let the probability that a sample chosen at random has a proportion of registered voters who vote between 0.37 and 0.39 be P ( A )
Now , the mean of the sample μ = 0.38
The standard deviation σ = 0.0485
And , z₁ = 0.37 and z₂ = 0.39
So , P ( A ) = P ( 0.37 < x < 0.39 )
On simplifying , we get
z = (x - μ)/σ
z₁ = ( 0.37 - 0.38 ) / 0.0485
z₁ = -0.206
z₂ = ( 0.39 - 0.38 ) / 0.0485
z₂ = 0.206
So , P ( 0.37 < x < 0.39 ) = P ( -0.206 < z < 0.206 )
On further simplification of the z-score , we get
P ( 0.37 < x < 0.39 ) = 0.5816045 - 0.4183955
P ( 0.37 < x < 0.39 ) = 0.1632
Hence , the probability is 16.32 %
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6 (2+g) =24 help me please
Answer:
g=2
Step-by-step explanation:
6(2+g)=24
Expanding the parentheses:
12+6g=24
Subtracting 12 from both sides:
6g=12
Dividing both sides by 6:
g=2
Hope this helps!
Answer:
g=2
Step-by-step explanation:
1. Distribute the left-hand side:
12+6g=24
2. Subtract 12 from both sides:
12-12+6g=24-12
= 6g=12
3. Divide both sides by 6:
g=2
How do i graph y=x+2, y=2,x=4
Answer:to graph y=2 go to the y axis and go to positive 2 and make a horizontal straight line. And to graph x=4 go to the x axis and go to positive 4 and make a vertical straight line.
and to graph y=x+2 make a dot on (0,2) and (-2,0) then make a line thru them using a ruler or straight object. (also i seriously recommend using desmos to graph online its super easy to use :) )
Answer:
Please just give me points
Step-by-step explanation:
I really need points so plss someone give some!
factor 8x^2-24 by taking out the gcf
Since 24 = 8*3, we can factor out the GCF 8 like so
8x^2 - 24 = 8*x^2 - 8*3 = 8(x^2-3)
This is using the distributive property.
what is 9x10 and what is 3x10?
Answer:
90 and 30
Step-by-step explanation:
Answer:90 and 30
Step-by-step explanation:
9x10=90
3x10=30
Write an expression in simplest form for the perimeter of a right triangle with leg lengths of 3a cubed and 4a cubed
Answer:
106.4622 [tex]a^{3}[/tex]
Step-by-step explanation:
Given the information:
A right triangleLeg lengths of [tex](3a)^{3}[/tex] and [tex](4a)^{3}[/tex]Use the pytagon theory to find the hypotenuse of the triangle
[tex]a^{2} + b^{2} = c^{2}[/tex]
<=>[tex]((3a)^{3}) ^{2} + ((4a)^{3}) ^{2} = c^{2}[/tex]
<=>[tex](3a)^{6} + (4a)^{6} = c^{2}[/tex]
<=> [tex]c^{2} = 4285a^{6}[/tex]
Take the square root of both sides
<=> c = 69.4622 [tex]a^{3}[/tex]
=> expression in simplest form for the perimeter of a right triangle is:
[tex](3a)^{3}[/tex] + [tex](4a)^{3}[/tex] + 69.4622 [tex]a^{3}[/tex]
= 27[tex]a^{3}[/tex] + 64[tex]a^{3}[/tex] + 69.4622 [tex]a^{3}[/tex]
= 106.4622 [tex]a^{3}[/tex]