[tex]|2x+1|=10\\2x+1=10 \vee 2x+1=-10\\2x=9 \vee 2x=-11\\x=4.5 \vee x=-5.5[/tex]
Answer:
[tex]x= \dfrac 92~~\textbf{or}~~x = -\dfrac{11}2\\\\[/tex]
Step-by-step explanation:
[tex]\underline {\textbf{Absolute value rule: }}\\\\\textbf{If}~ |a| = b~ \textbf{then} ~a =b~ \textbf{or}~ a =-b \\\\\underline{\textbf{Solution;}}\\\\\textbf{Given that,}\\\\~~~~~~~|2x+1| = 10\\\\\implies 2x +1 = 10~~~~~~\textbf{or} ~~~~~~~~~~~2x+1 = -10\\\\\implies 2x = 10-1~~~~~~\textbf{or}~~~~~~~~~~~2x = -10-1\\\\\implies 2x = 9~~~~~~~~~~~~~\textbf{or}~~~~~~~~~~~2x = -11\\\\\implies x= \dfrac 92~~~~~~~~~~~~~~\textbf{or}~~~~~~~~~~~x = -\dfrac{11}2\\\\[/tex]
PLEASE HELP
State the coefficient of the variable and the exponent on the variable for this expression: x/5 (this is supposed to be vertical but I don't know how to do that)
For the given relation, the coefficient is (1/5) and the exponent is 1.
Which are the coefficient and the exponent of the variable?For a relation of the form:
[tex]y = a*x^n[/tex]
a is the coefficient and n is the exponent.
In this case, we have:
[tex]y = \frac{x}{5}[/tex]
This can be rewritten to:
[tex]y = \frac{1}{5}*x^1[/tex]
So we can see that the coefficient is (1/5), and the exponent is 1.
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Instructions: Given the figure, what is the
angle of rotational
symmetry?
Rotation:
o
Answer:
The angle of rotational symmetry is 4
im a senior trying to graduate my school has me in the wrong classes i have adhd and i was supposed to be in diffrent classes but anyways i need help bad its due tn at 12 and if i dont get them in i dont graduate
Step-by-step explanation:
hope you can send the questions again because your question is to long to answer everything. I answered 1,2,3,4
Can someone pls help me with this
The length has [tex]\frac{3.5}{0.5}=\boxed{7}[/tex]
The width has [tex]\frac{2.5}{0.5}=\boxed{5}[/tex]
The height has [tex]\frac{1.5}{0.5}=\boxed{3}[/tex]
PLSS ANSWER MY QUESTION
IN THE PICTURE
☞ NONSENSE ANSWER REPORT ☜
☞ WRONG ANSWER REPORT ☜
☞CORRECT ANSWER ☜ ➣ brainlist or follow
Answer:
1) Area of frame: [tex]140cm^2[/tex] ; Area of picture: [tex]40cm^2[/tex] ; Total Area: [tex]180cm^2[/tex].
2) Area 1 = [tex]48cm^2[/tex] ; Area 2 = [tex]12cm^2[/tex] ; total area = [tex]60cm^2[/tex] [first answer line : [tex]60cm^2[/tex]]
Step-by-step explanation:
1. So to answer this question, you have to find the inner photo area first (which you will then subtract from the overall rectangle area to get the photo frame area).
To find area, you multiply length x width. For this question, there are not enough measurements given to initially multiply length and width. So, assuming that the photo is centered on the frame and the frame width is consistent along all sides, you find the difference between the overall length (12) and the picture length (5).
12 - 5 = 7
The leftover area (outside of the picture) is 7 cm (half of seven on both sides), so one side can be assumed to be : 3.5 cm
this means that 15 cm - 3.5 cm of both sides lengths (difference between the two lengths given) is the height of the photo, 15 - 3.5(2) = 8
So, the dimensions/measurements of the photo are 5 cm by 8 cm.
This means that the inner photo area is 40 (5 x 8) cm
The area of the frame will be the area of the total rectangle [12 x 15] - the inner photo area [40]. [ (12)(15) - 40 ]
[180 - 40] = 140 cm
(area is measured in squared units, so the area of the frame should be written as [tex]140cm^{2}[/tex] ; and the area of the photo should be written as [tex]40cm^{2}[/tex])
The total area is the entire area of the rectangle: (12)(15) = 180. (This should be written as [tex]180cm^2[/tex])
--------------------------------------
2) Finding the area of a shape that isn't a simple rectangle is easier if you separate the shape into smaller rectangles. I will separate the two rectangles into 4 x 12 and 2 x 6 [6 cm would be the remaining side length if you remove the length of 4].
{you can separate the shape in multiple ways, so my answer is only one answer to this problem out of other splits.}
as mentioned, the area is length x width.
4 x 12 = 48.
2 x 6 = 12. Once again, you should write area in squared units.
(the area 1 should be written as [tex]48cm^{2}[/tex] ; the area 2 should be written as [tex]12cm^2[/tex])
you can combine the separated areas (add them) to find the total area. 48 + 12 = 60.
(the total area should be written in squared units also, so the total area should be written as: [tex]60cm^2[/tex])
The area of the figure is [tex]60cm^2[/tex]
A Pythagorean triple is a set of three positive integers a, b, and c that satisfy the equation a² + b² = c².
The numbers 3, 4, and 5 are a Pythagorean triple because 3² + 4² = 5². Pythagorean triples are usually written in parentheses, such as (3, 4, 5) .
You can determine other Pythagorean triples by multiplying every number in (3, 4, 5) by the same positive integer. This creates similar triangles where the number you multiplied every triple by is the scale factor.
To create Pythagorean triples that are not similar to a triangle with side lengths of 3, 4, and 5, follow these steps.
Choose two positive integers, m and n, where m>n .
Determine a using a=m2−n2 .
Determine b using b=2mn .
Determine c using c=m2+n2
.
Write the triple (a, b, c) .
a. What Pythagorean triple results when m = 3 and n = 2? Explain.
b. Determine two other Pythagorean triples by multiplying every triple in part a by the same number.
c. Choose your own values for m and n. What Pythagorean triple results? Explain.
Answer:
Step-by-step explanation:
(3k,4k,5k)
sea k=2
la terna es:
(6,8,10)
sea k=5
la terna sería:
(15,20,25)
What is the value of n?
A. 69
B. 20
C. 29
D. 49
Answer:
[tex] \pink{\boxed{{\colorbox{white}{Answer}}}}[/tex]
C. 29
Step-by-step explanation:
[tex] \pink{\boxed{{\colorbox{white}{- MsTiyana}}}}[/tex]
Which expression is equivalent to -1/2 (1/4 x - 3/8). SHOW WORK
Hey there!
-1/2 (1/4 * - 3/8)
= -1/2(1/4)(-3/8)
= -1/2(-3/32)
= 3 / 64
Therefore, your answer should be:
3/64
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Suppose you make $1500 at your summer job and you decide to invest this money in a savings account that
pays interest at an annual rate of 5.5% compounded continuously. How many dollars will be in the account
after 5 years?
Answer:
$1912.50
Step-by-step explanation:
5.5% of $1500 is 82.50
so 82.50×5(years)
=412.5 + 1500
=1912.50
Answer:
You will need this formula
Total = Principal * e ^ (rate * years)
where 'e' equals 2.718281828459
Total = 1,500 * 2.718281828459 ^ (.055 * 5)
Total = 1,500 * 2.718281828459 ^ (.275)
Total = 1500 * 1.31653067486762
Total = 1,974.80
formula www.1728.org/rate2.htm
Calculator located here: https://www.1728.org/compint.htm
Step-by-step explanation:
3. The diagonal of a rectangular field is 169 m. Ifthe ratio of the length to the width is 12:5, find the: (a) (b) dimensions; perimeter of the field.
The dimensions of the rectangle are length 156 m and a width of 65m, and a perimeter P = 442m
How to find the dimensions of the rectangle?For a rectangle of length L and width W, the diagonal is:
[tex]D = \sqrt{L^2 + W^2}[/tex]
Here we know that the diagonal is 169m.
And the ratio of the length to the width is 12:5
This means that:
W = (5/12)*L
Replacing all that in the diagonal equation:
[tex]169 = \sqrt{((5/12)^2*L^2 + L^2} \\\\169^2 = (25/144)*L^2 + L^2 = ( 25/144 + 1)*L^2\\\\\frac{169}{\sqrt{25/144 + 1} } = L = 156[/tex]
So the length is 156 meters, and the width is:
W = (5/12)*156 m = 65m
Finally, the perimeter is:
P = 2*(L + W) = 2*(156 m + 65m) = 442m
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write the equation representing the number of children in your family
Answer:
0+4
Step-by-step explanation:
What is the area of the hexagon?
5m
4 m
4 m
12 m
5m
60 m ²
120 m 2
106 m ²
68 m 2
Answer:
68 square meters
Step-by-step explanation:
The hexagon is made up of two trapezoids. Use the formula to find the area of each trapezoid then add those two areas together.
Area of a trapezoid (add the two bases together, multiply by the height then divide by 2):
[tex]A = \frac{1}{2} (b_{1}+b_{2})h[/tex]
Top trapezoid:
[tex]A = \frac{1}{2} (5 + 12)4\\A = \frac{1}{2} (17)4\\A= \frac{1}{2} (68)\\A = 34[/tex]
Bottom trapezoid (identical to the top trapezoid):
[tex]A = \frac{1}{2} (5 + 12)4\\A = \frac{1}{2} (17)4\\A= \frac{1}{2} (68)\\A = 34[/tex]
Add the areas together:
34 + 34 = 68
In a triangle ABC, if angle A = 53 degree and Angle C=45 degree then find the value of Angle B is:
Answer:
69
It wont always be easy, but always try to do what ' s right!
In a world of worriers, be the warrior!
When nothing goes right, go left.
Which action will help increase a low FICO score?
A.
reducing credit card balances
B.
holding payment on bills
C.
applying for credit more frequently
PLEASE HELP "What is the value of x in the triangle" (15 Points)
Answer:
The answer is B.) 3
Step-by-step explanation:
Answer:
jesse got right
Step-by-step explanation:
branliest.
What's the most effective method for controlling inventory ? a ) Electronically , by reviewing billing receipts b ) Electronically , by checking recent orders Oc ) Visually , by looking at discarded packaging d ) Visually , by looking at what's on the shelf
Answer:
a ) Electronically , by reviewing billing receipts
Step-by-step explanation:
The main purpose of controlling inventory is to make sure that the optimal amount of products are being kept.
Therefore, option A is correct.
The probability of rain on the last day of July is 95 % . If the probability remains constant for the first seven days of August , what is the probability that it will rain at most two of those seven days in August ? Find the Mean , Standard Deviation , and Variance .
The probability that it rains at most 2 days is 0.00005995233 and the variance is 0.516
The probability that it rains at most 2 daysThe given parameters are:
Number of days, n = 7Probability that it rains, p = 95%Number of days it rains, x = 2 (at most)The probability that it rains at most 2 days is represented as:
P(x ≤ 2) = P(0) + P(1) + P(2)
Each probability is calculated as:
[tex]P(x) = ^nC_x * p^x * (1 - p)^{n - x}[/tex]
So, we have:
[tex]P(0) = ^7C_0 * (92\%)^0 * (1 - 92\%)^{7 - 0} = 0.00000002097[/tex]
[tex]P(1) = ^7C_1 * (92\%)^1 * (1 - 92\%)^{7 - 1} = 0.00000168821[/tex]
[tex]P(2) = ^7C_2 * (92\%)^2 * (1 - 92\%)^{7 - 2} = 0.00005824315[/tex]
So, we have:
P(x ≤ 2) =0.00000002097 + 0.00000168821 + 0.00005824315
P(x ≤ 2) = 0.00005995233
Hence, the probability that it rains at most 2 days is 0.00005995233
The meanThis is calculated as:
Mean = np
So, we have:
Mean = 7 * 92%
Evaluate
Mean = 6.44
Hence, the mean is 6.44
The standard deviationThis is calculated as:
σ = √np(1 - p)
So, we have:
σ = √7 * 92%(1 - 92%)
Evaluate
σ = 0.718
Hence, the standard deviation is 0.718
The varianceWe have:
σ = 0.718
Square both sides
σ² = 0.718²
Evaluate
σ² = 0.516
This represents the variance
Hence, the variance is 0.516
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nate spent 3/8 of his money on clothes .he spent £510 on clothes.calculate how much money he had left over?
Answer:
£850
Step-by-step explanation:
We can compute the left-over amount by comparing that to the amount spent.
__
setupWritten as ratios, we have ...
spent : left-over = 3/8 : 1 -3/8 = 3/8 : 5/8 = 3 : 5
Writing this using fractions, we have ...
left-over / spent = 5 / 3
solutionSolving for left-over gives ...
left-over = spent × (5/3) = £510×5/3 = £850
Nate had £850 left over.
_____
Additional comment
Nate's money totaled £510 +850 = £1360.
The fraction spent is £510/£1360 = 3/8, as required.
I really need help with this
SUPER EASY POINTS, i also need some clarification on this question... would i be correct?
Answer:
[tex]\bf \sf \dfrac{1}{3}[/tex]
Explanation:Take points: (6, 2), (3, 1)
[tex]To \ find \ proportionality = \sf \dfrac{y_2-y_1}{x_2-x_1}[/tex]
Insert values
[tex]\rightarrow \sf \dfrac{1-2}{3-6}[/tex]
Simplify
[tex]\rightarrow \sf \dfrac{-1}{-3}[/tex]
Cancel out the negatives
[tex]\rightarrow \sf \dfrac{1}{3}[/tex]
Answer:
B) [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
When y varies directly with x, the relationship is [tex]y=kx[/tex] where [tex]k[/tex] is the constant of proportionality. Hence, [tex]k=\frac{y}{x}[/tex].
So, your answer would not be correct because you did [tex]\frac{x}{y}[/tex] instead of [tex]\frac{y}{x}[/tex], so the correct option would be the reciprocal, or [tex]\frac{1}{3}[/tex].
PLEASE HELP ME. QUAD has coordinates Q(-4, 9), U(2, 3), A(-3, -2), and D(-9, 4). Prove that quadrilateral QUAD is a
rectangle.
Check the picture below.
[tex]~\hfill \stackrel{\textit{\large distance between 2 points}}{d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}}~\hfill~ \\\\[-0.35em] ~\dotfill\\\\ Q(\stackrel{x_1}{-4}~,~\stackrel{y_1}{9})\qquad U(\stackrel{x_2}{2}~,~\stackrel{y_2}{3}) ~\hfill QU=\sqrt{[ 2- (-4)]^2 + [ 3- 9]^2} \\\\\\ ~\hfill \boxed{QU=\sqrt{72}} \\\\\\ U(\stackrel{x_1}{2}~,~\stackrel{y_1}{3})\qquad A(\stackrel{x_2}{-3}~,~\stackrel{y_2}{-2}) ~\hfill UA=\sqrt{[ -3- 2]^2 + [ -2- 3]^2} \\\\\\ ~\hfill \boxed{UA=\sqrt{50}}[/tex]
[tex]A(\stackrel{x_1}{-3}~,~\stackrel{y_1}{-2})\qquad D(\stackrel{x_2}{-9}~,~\stackrel{y_2}{4}) ~\hfill AD=\sqrt{[ -9- (-3)]^2 + [ 4- (-2)]^2} \\\\\\ ~\hfill \boxed{AD=\sqrt{72}} \\\\\\ D(\stackrel{x_1}{-9}~,~\stackrel{y_1}{4})\qquad Q(\stackrel{x_2}{-4}~,~\stackrel{y_2}{9}) ~\hfill DQ=\sqrt{[ -4- (-9)]^2 + [ 9- 4]^2} \\\\\\ ~\hfill \boxed{DQ=\sqrt{50}}[/tex]
now, let's take a peek at that above, DQ = UA and QU = AD, so opposite sides of the polygon are equal.
Now, let's check the slopes of DQ and QU
[tex]D(\stackrel{x_1}{-9}~,~\stackrel{y_1}{4})\qquad Q(\stackrel{x_2}{-4}~,~\stackrel{y_2}{9}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{9}-\stackrel{y1}{4}}}{\underset{run} {\underset{x_2}{-4}-\underset{x_1}{(-9)}}} \implies \cfrac{9 -4}{-4 +9}\implies \cfrac{5}{5}\implies \cfrac{1}{1}\implies 1 \\\\[-0.35em] ~\dotfill[/tex]
[tex]Q(\stackrel{x_1}{-4}~,~\stackrel{y_1}{9})\qquad U(\stackrel{x_2}{2}~,~\stackrel{y_2}{3}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{3}-\stackrel{y1}{9}}}{\underset{run} {\underset{x_2}{2}-\underset{x_1}{(-4)}}} \implies \cfrac{3 -9}{2 +4}\implies \cfrac{-6}{6}\implies \cfrac{-1}{1}\implies -1[/tex]
keeping in mind that perpendicular lines have negative reciprocal slopes, let's notice that the reciprocal of 1/1 is just 1/1 and the negative of that is just -1/1 or -1, so QU has a slope that is really just the negative reciprocal of DQ, those two lines are perpendicular, thus making a 90° angle, and their congruent opposite sides will also make a 90°, that makes QUAD hmmm yeap, you guessed it.
help me with this please
Answer:
1/12 more red rice then white rice
Step-by-step explanation:
3/4 = 0.75
2/3 = 0.666666....
Clearly Red rice is more but it will be difficult to state how much more in decimal form so we must use fraction form :
3/4 = 9/12
2/3 = 8/12
So there is 1/12 more red rice then white rice
Hope this helped and have a good day
In a recent season in a basketball league, a certain player made 746 field goals, which was 48.9% of the shots he tried. How many shots did he try?
Answer:
I don't no ok ok ok ok ok ok ok ok ok
All of the following are irrational except _____.
The number that is not irrational is [tex]1.\overline{45}[/tex]. The correct option is the second option [tex]1.\overline{45}[/tex]
Irrational numbersFrom the question, we are to determine which of the given options is not irrational
Irrational numbers are the set of real numbers that cannot be expressed in the form of a fraction, p/q, where p and q are integers.
[tex]1.\overline{45}[/tex] is a repeating decimal and it can be expressed as a fraction
[tex]1.\overline{45} = \frac{144}{99}[/tex]
∴ [tex]1.\overline{45}[/tex] is not an irrational number. It is a rational number
The other options cannot the expressed as a fraction.
Hence, the number that is not irrational is [tex]1.\overline{45}[/tex]. The correct option is the second option [tex]1.\overline{45}[/tex]
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i need helppp with this question
Answer:
2
Step-by-step explanation:
g/5 - h is equal to 20/5 - 2
equal to 20 divided by 5 is equal to 4(20÷5=4)
then 4minus h which is 4- 2 =2
therefore the answer is 2
I hope this helps you
Last month David and Mary saved some money in a ratio of 3:5. This month they saved an additional $154 together, and David now has three times as much money as he had last month and Mary has two times as much as she had last month. How much money did they save last month?
Answer:
David: $42Mary: $70Step-by-step explanation:
The two relations can be translated to a system of linear equations in two variables. These can be solved in any of the usual ways.
__
setupLet d and m represent the amounts David and Mary saved last month, respectively.
The first relation tells us
d/m = 3/5 ⇒ 5d = 3m ⇒ 5d -3m = 0
The second relation tells us that adding 3 times what David had last month to 2 times what Mary had last month will give a total that is 154 greater than the sum of their funds last month.
d +m + 154 = 3d +2m ⇒ 2d +m = 154
__
solutionWe can add 3 times the second equation to the first to eliminate m.
(5d -3m) +3(2d +m) = (0) +3(154)
11d = 462 . . . . . . . . simplify
d = 42 . . . . . . . . . divide by 11
Using the second equation, we can find Mary's savings:
m = 154 -2d
m = 154 -2(420 = 70
David saved $42 last month; Mary saved $70.
Lamar is considering two loans
Which loan will have the lowest total payback?
Answer:
Loan A will have the lowest total paycheck because the total of the principal than the same total for loan B
a 2 gallon container of window cleaner costs $11.52. what is the price per cup?
Answer:
$0.36
Step-by-step explanation:
To convert between gallons, quarts, pints, and cups it can be helpful to memorize this:
2 Cups in a Pint
2 Pints in a Quart
4 Quarts in a Gallon
We can work backwards using this, finding that there are 4 quarts in a gallon, 8 pints in a gallon, and 16 cups in a gallon.
Since we have 2 gallons, we must multiply the number of cups by 2 to get 32 cups in 2 gallons.
Now we can solve for the price per cup by dividing the cost of all 2 gallons by how many cups are in it (32.)
$11.52 / 32 = $0.36
That is the answer
- Kan Academy Advance
If (1, 0) is an ordered pair of the function F(x), which of the following is an
ordered pair of the inverse of F(x)?
If the ordered pair (1, 0) represents the function F(x), then the ordered pair (0, 1) represents the inverse of F(x). Option A is correct.
What is a function?A connection between independent variables and the dependent variable.is defined by the function.
The complete question is
"If (1,0) is an ordered pair of the function f(x), which of the following is an ordered pair of the inverse of f(x)?
A. (0,1)
B. (0,0)
C. (1,0)
D. (1,1)"
Functions help to represent graphs and equations. A function is represented by the two variables one is dependent and another one is an independent function.
The relation between them is shown as y if dependent and x is the independent variable.
If the ordered pair (1, 0) represents the function F(x), then the ordered pair (0, 1) represents the inverse of F(x).
F(x)∈ (1, 0)
F⁻¹(x)∈(0, 1)
Hence, option A is correct.
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Find the area of a regular polygon with 6 sides that has a side length of 6 inches and an apothem of 4 inches.
Area = [?]in2
Answer:
see the attachment photo!