According to the information we can infer that the number is 16. So, 6 - 16 is 10.
What number does complete the operation correctly?Let's assume the number is represented by 'x'.
According to the given information, six less than a number is equal to ten. This can be expressed as:
x - 6 = 10To find the value of 'x', we can add 6 to both sides of the equation:
x - 6 + 6 = 10 + 6This simplifies to:
x = 16According to the information we can conclude that the number is 16. So, 6 - 16 is 10.
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If the expression 9x + (4 – 3x) + 7is simplified completely, how many terms will the expression contain?
Answer: 2 terms
Step-by-step explanation:
There are two terms because
One is __x the other is the constant
9x + 4 - 3x + 7
6x + 4 - 7
6x - 3 has two terms
If the given mathemtical expression is simplified completely, the expression would contain 2 terms.
How to simplify the expression?
Given this expression: 9x + (4 – 3x) + 7
Remove the brackets : 9x + 4 - 3x + 7
Add similar terms: 6x + 11
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A ladder that is 20 feet long leans against the wall of a building such that its base makes a 62 degree angle with the ground. Determine the height, h, that the ladder reaches up the wall. Round your answer to the nearest tenth of a foot.
Answer:
17.7 ft
Step-by-step explanation:
A ladder that is 20 feet long leans against the wall of a building such that its base makes a 62 degree angle with the ground. Determine the height, h, that the ladder reaches up the wall. Round your answer to the nearest tenth of a foot.
We solve using the Trigonometric function of sin
sin = Opposite/Hypotenuse
Opposite = Height = ?
Hypotenuse = Length of the ladder = 20 ft
Hence:
sin 62 = h/20 ft
Cross Multiply
h = sin 62 × 20 ft
h = 17.658951857 ft
Approximately = 17.7 ft
Please help thank you
Answer:
Step-by-step explanation:
Jared wrote the equation as,
k + (k + 1) + (k + 2) = 4k
Solution for k will be,
3k + 3 = 4k
4k - 3k = 3
k = 3
For k = 3, consecutive numbers will be → 3, 4, 5
Jared did not get the correct answer.Solution to this equation is k = 3, giving 3, 4, and 5 as three integers. However, 3 and 5 are not even integers. He should have used the equation k + (k + 2) + (k + 4) = 4k, which gives k = 6 and the correct answer is 6, 8, 10.
You have a 3-gallon and a 5-gallon jug that you can fill from a fountain of water. The problem is to fill one of the jugs with exactly 4 gallons of water. How do you do it?
Answer:
See below
Step-by-step explanation:
Fill the 5 and pour into the 3 ....this will leave 2 gal in the 5 bucket
empty the 3 bucket and put that 2 gallon in to it.....
then fill the 5 bucket again......pour 1 gallon into the 3 gallon bucket to fill it....then there will be 4 gallons left in the 5 bucket
Given the functions, f ( x ) = x - 8 and g ( x ) = x2 x - 1, perform the indicated operation. when applicable, state the domain restriction. ( fg )( x )
(fg)(x)= x³ - 7x² - 9x + 8
domain is (-∞,∞)
Given: f(x)= x-8, g(x)= x² +1x - 1
To find (fg)(x) we multiply f(x) and g(x)
(fg)(x) = f(x) * g(x)
(fg)(x)= (x-8) (x²+x-1)
(fg)(x)= x³ + x² - x - 8x² - 8x +8
(fg)(x)= x³ - 7x² - 9x + 8
we know, domain for all cubic function is set of all real numbers
domain is (-∞,∞)
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it takes you 45 minutes to drive the 30 miles from your house to the mall. How long will it take you drive the 75 miles to the beach?
Answer:
45/30 = 1.5 minutes per mile
75 * 1.5 = 112.5 minutes (1 hour 52.5 minutes)
Step-by-step explanation:
Answer:
1 hour and 52.5 minutes
Step-by-step explanation:
double the miles and minutes then half both of them
Draw a visual model to show how many tiles she will use. Then explain how you can use your visual model to find the area of the enterway
A grid representing the floor plan of the entryway with tiles arranged in a square pattern. Each square represents one tile.Visual model
By counting the number of squares in the grid, we can determine the total number of tiles used. To find the area of the entryway, we multiply the number of tiles by the area covered by each tile. The area covered by each tile can be determined by measuring the length and width of a single tile and multiplying them together.
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Scott has a blue front of the new deck his building with dimension 7.5” x 4.5”. The actual deck will have dimensions 20’ x 12’. What is the scale
The scale of the drawing is given as follows:
1 : 4.5.
How to obtain the scale of the drawing?The scale of the drawing is obtained applying the proportions in the context of this problem.
The scale is defined as the division of the drawn length by the actual length.
The lengths are given as follows:
Drawn length: 20 inches.Actual length: 7.5 feet = 7.5 x 12 = 90 inches.90/20 = 4.5, hence the scale of the drawing is given as follows:
1 : 4.5.
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Evaluate the expression using x = –1 and y=3. (6x4y3)
Answer:
6(-3)*4(3)*3
-12 *12 *3
-144*3
-432
Answer: -432
Step-by-step explanation:
Ashvin want to replace the carpet in your living room and hallway with laminate flooring.
Find the total area of the hallway and living room.
Answer:
I’m sorry but you need to edit this question, it is incomplete.
Step-by-step explanation:
I see nothing, if there is supposed to be an image attached, please i attach it again, tnx!
I could help you though
I really need help with this question :)
Answer:
here you go.
Step-by-step explanation:
The diagonal is the hypotenuse of a rectangular triangle.
So:
d2=l2+w2
132=169=(x+7)2+x2=x2+14x+49+x2→
2x2+14x−120=0→x2+7x−60=0
A simple quadratic equation resolving into:
(x+12)(x−5)=0→x=−12orx=5
Only the positive solution is useable so:
w=5andl=12
1. What number is 1.23 x 10^6 without scientific notation?
The number 1.23 x 10⁶ without scientific notation is 12,30,000.
Scientific Notations:Scientific notation is a way to display extremely big or extremely small numbers in a more understandable way. We are aware that full numbers can go on forever, but we are unable to write such enormous figures on paper.
We use positive exponents for base 10 when expressing any huge integers in scientific notation. For example:
500000 = 5 x 10⁵, where 5 is the positive exponent.
We use negative exponents for base 10 when expressing any small integers in scientific notation. For example:
0.00005 = 2 x 10⁻⁵, where -5 is the negative exponent.
Here we have
The number 1.23 x 10⁶
We need to write the given number without scientific notation
In the given number the exponent of 10 = 6 and positive
Then we need to move the decimal place 7 places to the right or multiply the given decimal number with 1000000
Therefore,
1.23 x 10⁶ = 1.23 × 1000000 = 12,30,000.
Hence,
The number 1.23 x 10⁶ without scientific notation is 12,30,000.
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Find the length of the missing side
Answer:
43.7378554573
Step-by-step explanation:
use pythagoream thereom :D
What is the 50th term in the sequence 12, 24, 36, 48, 60
Answer:
Step-by-step explanation:
They are the multiply of 12 so it means 12×50=600
Answer:
60
Step-by-step explanation:
he is right 60
evaluate begin inline style sum from n equals 3 to 7 of end style left parenthesis n squared plus 2 n right parenthesis .
The sum of the given expression from n = 3 to 7 is 241.
The given expression is to be evaluated from n = 3 to 7. The given expression is,begin{align*}\sum_{n=3}^{7} (n^2 + 2n)\end{align*}Now, we can substitute the values of n and add them up to evaluate the expression. So, the sum of the expression is, \begin{align*}\sum_{n=3}^{7} (n^2 + 2n) &= (3^2 + 2 \cdot 3) + (4^2 + 2 \cdot 4) + (5^2 + 2 \cdot 5) \\&\qquad+ (6^2 + 2 \cdot 6) + (7^2 + 2 \cdot 7)\\&= 9 + 20 + 35 + 72 + 105\\&= \boxed{241}.\end{align*}.
Mathematical statements are called expressions if they have at least two terms that are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations. As an illustration, the phrase x + y is one where x and y are terms with an addition operator in between. There are two sorts of expressions in mathematics: numerical expressions, which only contain numbers, and algebraic expressions, which also include variables.
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can someone explain this??
Answer:mark me a brainiest pls
that is a linear function search it up on Google youl get the answer from there
(L2) The Circumcenter Theorem states that the circumcenter of a triangle is equidistant from each _____.
(L2) The Circumcenter Theorem states that the circumcenter of a triangle is equidistant from each vertex of the triangle.
The Circumcenter Theorem is a fundamental concept in geometry that states that the circumcenter of a triangle is equidistant from each of its vertices. In other words, the circumcenter is the point where the perpendicular bisectors of the sides of a triangle intersect.
The circumcenter plays a crucial role in the geometry of triangles, as it is the center of the circumcircle, which is the circle that passes through all three vertices of the triangle.
The circumcircle has several important properties, such as the fact that the length of the circumcircle's circumference is equal to twice the length of the triangle's longest side.
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336,765=3,14×0.55×(l+0.55) please help
Answer:
l = 194999.45
Step-by-step explanation:
I'm going to assume that you meant 3.14 by 3,14.
336,765 = 3.14 × 0.55 × (l + 0.55)
336,765 ÷ (3.14 × 0.55) = l + 0.55
(336,765 ÷ (3.14 × 0.55)) - 0.55 = l
l = 194999.45
When a stone is dropped in a pond, ripples are formed and travel in concentric circles away from where the stone was dropped. The relationship between the time and area of the circles was analyzed and is shown in the computer output.
What is the equation of the least-squares regression line? A B C or D? (answers in pictures)
The equation of the least-squares regression line is y = 9.6x - 2.4. The equation of the least-squares regression line can be determined by looking at the provided computer output.
In the output, the slope of the line is given by the coefficient of the "time" variable, which is 9.6. The intercept of the line is given by the constant, which is -2.4. Therefore, the equation of the least-squares regression line is y = 9.6x - 2.4.
To understand this further, the equation of the least-squares regression line is used to model the relationship between time and the area of the circles formed by the ripples.
The slope of the line (9.6) represents the rate at which the area of the circles increases with respect to time. The intercept of the line (-2.4) represents the starting point of the area of the circles (i.e., the area of the circles when time is equal to zero).
By using this equation, one can predict the area of the circles formed by the ripples at any given time.
This type of analysis is useful in various fields, such as physics and engineering, where the relationship between variables needs to be modeled and predicted.
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A six-faced die numbered 1,2,3,4,5 and 6 is thrown. what is the probability of getting a number not less than 5
Answer:
Ther are 6 values we can choose out of so the denominator is going to be 6.
If 5 is include then the chances are 2/6 which is 1/3
Or if 5 is not included then ot is 1/6
the answer choices are 1/3 or 1/6
If f(y-5)=3y²-4y-10, find f(2)
Answer:
29
Step-by-step explanation:
What we do here is that we plug in 2 here like a puzzle.
f(2-5) = f(-3)
So, when we plug in 2 to the function, we get a f(-3)
Nowe take f(-3)
= 3(-3)²-4(-3)-10
= 3(9)+12-10
= 27+12-10
= 29
if you construct 98 confidence interval for the population mean instead of 95% confidence internal and sample size is larger for 98%, but with everything else being the same the ocnofindec einervtal would:
Constructing a 98% confidence interval with a larger sample size would result in a wider, yet more precise interval compared to a 95% confidence interval with a smaller sample size.
If you construct a 98% confidence interval for the population mean instead of a 95% confidence interval and the sample size is larger for the 98% interval, with everything else being the same, the confidence interval would:
1. Be wider than the 95% confidence interval:
A higher confidence level (98% vs. 95%) requires a wider interval to capture the true population mean with greater certainty.
2. Be more precise due to the larger sample size:
A larger sample size provides more information about the population, which generally leads to a more precise estimate of the population mean.
To summarize, constructing a 98% confidence interval with a larger sample size would result in a wider, yet more precise interval compared to a 95% confidence interval with a smaller sample size.
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Solve the inequality 7(2x + 5) < 3(4x – 1). Write your solution in algebraic form, interval notation, and graphed on a number line.
The solution for the given inequality is :
x < -19
In interval notation it is:
(-∞, -19)
And the graph can be seen in the image below-
How to solve the inequality?Here we have the following inequality:
7*(2x + 5) < 3*(4x - 1)
To solve it, we need to isolate x in one of the sides of the inequality. Doing that we will get:
14x + 35 < 12x - 3
14x - 12x < -3 - 35
2x < - 38
x < -38/2
x < -19
This is the solution, written in interval form it is:
(-∞, -19)
And to graph this, we need to graph an open dot at x = -19 (which means that x = -19 is not a solution) and a line that goes to the left, it will be something like in the image below.
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PLEASE SOMEONE HELP ME PLEASE
Answer: 1735 3/10
Step-by-step explanation:
Expand and simplify
√5 (√10+ √2)
A forest covers 37,000 acres. A survey finds that 0.3% of the forest is old-growth trees. How many acres of old-growth trees are there?
Answer:
111
Step-by-step explanation:
37000x0.3 percent is 111
On the same coordinate plane, mark all points (x, y) that satisfy each rule.
y = -3 -X
Show Graph!!!
100 Points!!!!!
Answer:
y=3x-2
For plotting graph we have to put some x values in above equation then we get y Ans
when x=0,y=-2
when x=1,y=1
when x=2,y=4
when x=-1, y=-5
when x=-2, y=-8
Step-by-step explanation:
Answer:
y=3x-2
Step-by-step explanation:
Which linear equation has no solution?
Answer:
4x+7=3x+7
Step-by-step explanation:
4x+(7-7)=3x+(7-7)
4x=3x
In a circle, an angle measuring 2.4 radians intercepts an arc of length 24.4. Find the radius of the circle to the nearest
The radius of the circle is approximately 10.17 units (rounded to two decimal places).
To find the radius of the circle, we need to use the formula that relates the central angle to the length of the arc and the radius of the circle. The formula is given as:
arc length = radius x central angle
In this case, the arc length is given as 24.4 and the central angle is given as 2.4 radians. Substituting these values in the formula, we get:
24.4 = r x 2.4
Solving for r, we get:
r = 24.4 / 2.4
r ≈ 10.17
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