The value of the expression is 0 without calculation.
We have to find the exact value of
sin 26° - cos 26°
From the trigonometric function we know that:
cos (90°-Ф) = sinФ and,
sin(90° -Ф) = cosФ
By this, we have an expression that,
=sin 26° - cos 64°
=sin 26° - cos (90° - 26)
=sin 26° - sin 26°
=0
Therefore the value of sin 26° - cos 64° =0.
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only number 13 solve for x plspls
In the given diagram, the value of x is 16
Calculating anglesFrom the question, we are to determine the value of x
In the given diagram, we can observe that (6x + 20)° and 4x° form a linear pair,
Thus, we can write that
(6x + 20)° + 4x° = 180°
Now, we will solve for x
(6x + 20)° + 4x° = 180°
6x + 20 + 4x = 180
10x = 180 - 20
10x = 160
x = 160/10
x = 16
Hence, the value of x is 16
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The cost y (in cents) of producing x gallons of Ectoplasm hair gel is given by the cost equation y2 − 10xy = 200. Evaluate dy dx at x = 1. (Round your answer to two decimal places.)
The value of dy/dx at x = 1 is mathematically given as
dy/dx=5-1.8898i
This is further explained below.
What is the value of dy/dx at x = 1 ?Generally, Given that cost y of producing x gallons ag an implicit evaluation
y^2-10 x y=200
Differentiate the above equation as
[tex]\begin{aligned}&2 y y^{\prime}-10 y-10 x y^{\prime}=0 \\&y^{\prime}(2 y-10 x)=10 y \\&y^{\prime}=\frac{10 y}{2 y-70 x}=\frac{5 y}{y-5 x}\end{aligned}[/tex]
when x=1, substitute in the given equation to get y value
y^2-10 y=200
or
y=5+13.2288i
y=5−13.2288i
y represents the cost and hence cannot be negative Hence practical solution for y is y=5+13.2288i substitute in the ' y ' equation to get [tex]$\frac{d y}{d x}$ at $x=1$[/tex]
when x=13 y=5+13.2288i
Hence
d y/d x at x=1 will be
dy/dx[tex]=\frac{5(5+13.2288i)}{5+13.2288i-5}[/tex]
[tex]dy/dx=\frac{25+66.144}{13.2288i}[/tex]
dy/dx=5-1.8898i
In conclusion, the value of dy/dx at x = 1 i
dy/dx=5-1.8898i
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Olivia counted thirty blue cars, ten red cars, and forty white cars in the parking lot. What is the ratio of white cars to blue cars, according to Olivia’s count?
3 to 4
1:4
4:1
43
Answer: I say 4/3 the fraction so your answer is D
Explanation: Because its white cars to blue cars the problem is whats equivalent to the ratio 40 to 30, 4:1 is not the same as 40 to 30 neither
is 1:4 or 3 to 4 So its D. :)
Use the distributive property to multiply (3w + 5)(–2w – 7).
-6w^2+31w+35
6w^2-21w-35
-6w^2-31w-35
6w^2-21w+30
Answer:
[tex]=-6w^2-31w-35[/tex]
Step-by-step explanation:
Apply Foil.
[tex]\left(3w+5\right)\left(-2w-7\right)=3w\left(-2w\right)+3w\left(-7\right)+5\left(-2w\right)+5\left(-7\right)[/tex]
[tex]=3w\left(-2w\right)+3w\left(-7\right)+5\left(-2w\right)+5\left(-7\right)[/tex]
[tex]=-6w^2-31w-35[/tex]
28+92/46-17+90
can you solve this for me
thanks
a certain ceiling is made up of tiles.every square mater of ceiling requries 10.75 tiles.fill in table with the missing values
Table is attached below-
1) 1 m² = 10.75 tiles
2) 10 m² = 107.5 tiles
3) 9.3 m² of tiles = 100 tiles
4) a m² = 10.5a tiles
We have been given that
Every square meter of ceiling requires 10.75 tiles.
we have find missing values in the table.
We know,
1 square meter of ceiling = 10.75 tiles. ...(i)
1. Therefore, the number of tiles corresponding to 1 square meter of ceiling is 10.75.
Multiply both sides by 10.
10×1 square meter of ceiling = 10×10.75 tiles.
10 square meter of ceiling = 107.5 tiles.
2. Therefore, the number of tiles corresponding to 10 square meter of ceiling is 107.5.
Divide both sides by 10.75 in (i).
(1/10.75) square meter of ceiling = 1 tile.
Multiply both sides by 100.
(100/10.75) square meter of ceiling = 100 tiles.
On approximating the value, we get
9.3 square meter of ceiling = 100 tiles.
3. Therefore, the square meters of ceiling corresponding to 100 tiles is about 9.3.
Multiply both sides by a in (i).
a×1 square meter of ceiling = a×10.75 tiles.
a square meter of ceiling = 10.75a tiles.
4. Therefore, the number of tiles corresponding to a square meter of ceiling is 10.75a.
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Dave took an exam with 40 questions. He answered 32 correctly. What
was his grade for the exam? Write the grade as a percent.
www
% (Round to the nearest percent as needed.)
Step-by-step explanation:
40 = 100%
1% = 100%/100 = 40/100 = 0.4
how many % are 32 ?
as many % as 1% (0.4) can fit into 32 :
32 / 0.4 = 80%
his grade was 80%.
Use braces to write the members of the set, or state that the set has no members.
The integers between 2 and 6 (not inclusive)
A.
{3, 4, 5}
{3, 4, 5}
B.
{3, 4, 5, 6}
C.
{2, 3, 4, 5}
D.
{2, 3, 4, 5, 6}
Answer: A. {3, 4, 5}
Explanation:
Write out the whole numbers from 2 to 6 to get 2,3,4,5,6
But we erase the first and last values since we aren't including those endpoints. So we end up with 3,4,5
Percent change from 10,000 to 10,200
Question 2 of 10 Suppose a population consists of 5000 people. Which of the following numbers of members of the population being surveyed could result in a sample statistic but not a parameter ? A. Both 50 and 5000 B. 50 C. Neither 50 nor 5000 D. 5000
Out of the population being surveyed, the one that could result in a sample statistic but not a parameter is; B: 50
What is the Sample Statistic?
A sample statistic is a piece of information you get from a fraction of a population.
A parameter is a number describing a whole population (e.g., population mean), while a statistic is a number describing a sample (e.g., sample mean).
Now, we are told that a population consists of 5000 people. This means that the sample statistic could be the sample mean which could be 50 but certainly not 5000 as the sample statistic can't be same as the population.
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Divide -3 1/7 divided 7 2/6. Explain each step you used to find the quotient.
Answer:
-3/7
Step-by-step explanation:
[tex]-3\frac{1}{7} / 7 \frac{2}{6}[/tex]
[tex]-3 \frac{1}{7} = \frac{-22}{7}[/tex]
[tex]7\frac{2}{6} = 7\frac{1}{3} = \frac{22}{3}[/tex]
[tex]\frac{\frac{-22}{7} }{\frac{22}{3} }[/tex][tex]= \frac{-22}{7} * \frac{3}{22} = \frac{-3}{7}[/tex]
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Using the Pythagorean Theorem, it is found that the length of AB is of 8.54 units, considering that BC = 3 and that AC = 8.
What is the Pythagorean Theorem?The Pythagorean Theorem relates the length of the legs [tex]l_1[/tex] and [tex]l_2[/tex] of a right triangle with the length of the hypotenuse h, according to the following equation:
[tex]h^2 = l_1^2 + l_2^2[/tex]
For this triangle, we have that:
The length of AB is the hypotenuse.BC = 3(|-1 - (-4)| = 3) is one side.AC = 8(4 - (-4) = 8) is the other side.Hence the length of AB is given as follows:
h² = 3² + 8²
h² = 73
h = sqrt(73)
h = 8.54 units.
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4 is subtracted from the square of a number.
Answer: x^2-4
Step-by-step explanation: I can only assume that is the answer given the limited prompt. Please comment and let me know if that is the desired answer or if you need more help. (X = a number ^2 = squared -4 = 4 is subtracted)
Choose all degrees of rotation that will carry the regular pentagon onto itself.
A. 72°
B. 90°
C. 108°
D. 144°
E. 216°
Answer:
A. 72°
D. 144°
E. 216°
Step-by-step explanation:
I just answered this.
in short : we rotate each vertex on a circle arc. the center of that circle being P.
so, at the end of every 1/5 of the circle arc there is a vertex of the polygon.
therefore, with every 1/5 of a full circle rotation we move the pentagon visually onto itself.
that is starting at
360/5 = 72°
and then every additional 72°
144°
216°
288°
360°
so, A, D and E are correct
Solve for x:
-12 = 1/2(6x - 12)
Answer:
x = -2
Step-by-step explanation:
-12 = 1/2(6x - 12) Multiply everything inside the parentheses by 1/2
-12 =1/2(6x) - (1/2)(12)
-12 = 3x - 6 Add 6 to both sides of the equation
-6 = 3x Divide both sides by 3
-2 = x
Check:
Plug -2 in for x and see if statement is true
-12 = 1/2(6x - 12)
-12 = 1/2[(6)(-2) - 12] Simplify inside the brackets
-12 = 1/2(-12 -12)
-12 = 1/2 (-24)
-12 = -12
What number should be added to -28 to make the sum 0? (5 points) 28 -28 27 0
Answer:
28
Step-by-step explanation:
-28 + 28 = 0
Calculator is showing a result of 78.987625. What is this to 2 decimal places
Answer:
78.99
Step-by-step explanation:
Rounding to the 2nd decimal place the number 78.987625
Write down everything upto and including the 2nd decimal: 78.98
Check out the next digit. If >= 5, then increase the 2nd decimal digit above by 1, if not leave it as is.
For 78.987625 the digit next to the 2 decimal digit is 7 so we increase 78.98 to 78.99
Use the above table to determine how much is paid toward mortgage loan every month?
Group of answer choices
$675.00
$591.67
$121.74
$365.22
Answer:
$675.00
Step-by-step explanation: The chart says it all
the side of a square is 9in. what is the perimeter?
Answer:
36in
Step-by-step explanation:
A square has four sides. If the length of one is 9 inches, then we multiply it by four to get 9*4 = 36in as our perimeter.
FINAL ANSWER: 36in
David and John own 37-1/2 acres of land. David owns 3/5 and John owns 2/5 of the land. They decide to section it off into ¾ acre lots to rent out as garden space for people who do not have garden space at their homes. The price for the entire summer for the rent of each lot is $50. Since there is no water supply to water the gardens, David and John have asked their renters if they would like a 100-gallon water tank or a 70-gallon water tank. 60% of the renters chose 100 gallons and 40% chose 70 gallons. David calculated that they would need to fill each tank 2 times and the cost of a gallon of water is $.05.
The total spent amount on water is $220
The total area is 37.5=75/2
The number of lots is 75/2/3/4=50 nos
Total rent is 50×50=2500
So 3/5 will go to david 2500×3/5=1500
2/5 will go to john 2500×2/5=1000
So 60% Renters choose 100 gallons
Total renters is 50
60% renters is 50×60%=30 nos
40% renters choose 70 gallons
40% of 50 is 20 nos
The tank fills twice
100×30+70×20=4400 to be filled
Per gallon cost is $0.05
So the total cost is 4400×0.5=$220
So they spent $220 on water
A fraction shows part of a whole. This entire may refer to a place or a group of places.A fraction can be a portion or section of any quantity out of a whole, where the whole can be number of any value.To learn more about fraction visit:
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solve the compound inequality 2x>-10 and 9x<18
Answer:
x = 1
Step-by-step explanation:
2 x [tex]x[/tex] = 10
10 > -10
9 x [tex]x[/tex] = 9
9 < 18
A piece of rope 20 feet long is cut from a longer piece that is at least 32 feet long. The remainder is cut into four pieces of equal length. Describe the length of each of the four pieces.
Answer:
3
Step-by-step explanation:
32 - 20 = 12
12/4 = 3
This assumes that by remainder they mean they twelve feet left over and not the twenty feet removed. This is likely what it means.
Find the domain and range for the function shown in the graph given below.
What is the domain?
(Type your answer in interval notation.)
***
Answer:
Domain: [-20, 20]
Range: [-30, 5]
Step-by-step explanation:
The domain is the set of x values and the range is the set of y values.
A square rug lies in the middle of a rectangular room. There are 6 feet of uncovered floor on 2 sides of the rug and 2 feet of uncovered floor on the other 2 sides. Find a polynomial expression for the area of the rootn in terms of ×, the side length of the rug.
The polynomial expression for the area of the room is f(x) = x^2 + 16x + 48.
Here, we are given that the side of the length of the rug = x
Now, the square rug is placed on the rectangular room such that on 2 sides the uncovered floor is 6 meters.
This means that the length of the 2 opposite sides of the rectangle will be (x + 6 + 6) = (x + 12)
Similarly, there is 2 feet of uncovered floor on the other 2 sides, which means that the length of other two opposite sides is- (x + 2 + 2) = (x + 4)
Kindly refer to the diagram below for a better clarity of how we found out the sides.
Now, the area of a rectangle = Length × Breadth
Thus, area of the room = (x + 12) (x + 4)
= x^2 + 4x + 12x + 48
= x^2 + 16x + 48
Thus, the polynomial expression for the area of the room is f(x) = x^2 + 16x + 48
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A sale at a store is 15%. If the sale price after
the discount is $35.70. What was the original
price of the sweatshirt (S)?
Answer:
$42.00
Step-by-step explanation:
Let x = the original cost of the sweatshirt
x - .15x = 35.70 We don't know the original cost so we will call it x. I know that we are taking 15 off of this number to get the sale's price. 15% means per 100, so as a fraction this would be 15/100. To make this a decimal, I would divide 15 by 100 to get .15
x - .15x = 35.70 Combine the like terms
.85x = 35.70 This is say that 85% if the original price is the sale price of 35.70
Divide both sides of the equation by .85 and we get x = 42.00
Check:
42 - .15(42) = 35.70
42 - 6.30 = 35.70
The amount of money earned varies directly as the number of hours worked. After working 14 hours, Joe earned $119. How
much would Joe earn for working 20 hours?
Joe earned $140 for working 20 hours
To determine the value of a single unit from a specified multiple, use the unitary technique. How to determine the value of one pen, for instance, if the cost of 40 pens is Rs. 400. The unitary approach can be used to complete it. Additionally, after determining the value of a single unit, we can multiply that value by the number of units needed to determine the value of the additional units. The concept of ratio and proportion is mostly applied using this way.
Joe worked 14 hours and earned = $119
Joe worked for 1 hour and earned = $ 119/ 14
Joe worked for 20 hours and earned = $ 119/ 14 x 20
= 4140
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[IMC 2014 Q23] A sector of a disc is removed by
making two straight cuts from the circumference
to the centre. The perimeter of the sector has the
same length as the circumference of the original
disc.
What fraction of the area of the disc is removed?
Answer:
Well the IMC 2014 is
IMC 2014 + hMc
I sent an attachment
2d+\sqrt[3]{-45d} d=75
Answer:
Given d = 75, respectively,
135
Step-by-step explanation:
[tex]2\left(75\right) = 2 \cdot 75\\= 150\\\\\sqrt[3]{-45\left(75\right)}\\\left(75\right)=75\\\sqrt[3]{-45\cdot \:75}\\45\cdot \:75=3375\\\sqrt[3]{-3375}\\\sqrt[3]{-3375}=-\sqrt[3]{3375}\\-\sqrt[3]{3375}\\-\sqrt[3]{15^3}\\\sqrt[3]{15^3}=15\\=15\\\\=150-15\\=135[/tex]
6.1 Define the term inflation.
Answer:
the action of inflating something or the condition of being inflated.
"the inflation of a balloon"
ASTRONOMY
(in some theories of cosmology) a very brief exponential expansion of the universe postulated to have interrupted the standard linear expansion shortly after the Big Bang.
2.
ECONOMICS
a general increase in prices and fall in the purchasing value of money.
"policies aimed at controlling inflation"