Answer:
x = 10Step-by-step explanation:
What is answer to X/2 - X/5 = 3
x/2 - x/5 = 3
(3/10)x = 3
x = 3 : 3/10
x = 3 * 10/3
x = 10
-------------
check
10/2 - 10/5 = 3
3 = 3
the answer is good
Give the domain and range.
a. domain: {3, 0, 3), range: {3, 0}
b. domain: {-3, 0, 3), range: {0, 3}
c. domain: {3, 0,3), range:{-3.0}
d. domain: (3, 0, 3), range: {0,3}
Given:
The graph.
To find:
The domain and range of the graph.
Solution:
The three points on the graph are (-3,3), (0,0) and (3,3).
We know that, domain is the set of input values or x-values. So,
Domain = {-3,0,3}
We know that, Range is the set of output values or y-values. So, elements for range are 3,0,3. But a set contains only distinct elements. So, consider 3 once in range.
Range = {0,3}
Therefore, the correct option is b.
How much space will a cylindrical water tank occupy if its height is 100 cm and its diameter is 30
find the volume
Answer:
volume of a cylindrical water tank = 70,650cm³
Step-by-step explanation:
volume of cylinder, V = πr²h
where π = 3.14
h = 100cm
r = ?
given is diameter = 30cm
r = d/2 = 30/2 = 15cm
substituting the values in the formula,
V = 3.14 * 15² * 100
= 3.14 * 225 * 100
= 70,650cm³
Answer:
How much space it would take up: 706.86 square centimeters of floor space and extend vertically to a height of 100 cm
Volume: 706,500 cm³
Step-by-step explanation:
How much space it would take up:
To determine the space occupied by a cylindrical water tank in a room, we need to consider its dimensions and the area it covers on the floor.
The diameter of the tank is given as 30 cm, which means the radius is half of that, 15 cm.
To calculate the space it occupies on the floor, we need to find the area of the circular base. The formula for the area of a circle is A = πr², where A is the area and r is the radius.
A = π(15 cm)²
A = π(225 cm²)
A ≈ 706.86 cm²
So, the circular base of the tank occupies approximately 706.86 square centimeters of floor space.
The height of the tank is given as 100 cm, which represents the vertical space it occupies in the room.
Therefore, the cylindrical water tank would take up 706.86 square centimeters of floor space and extend vertically to a height of 100 cm in the room.
Volume:
To calculate the volume of a cylindrical water tank, we can use the formula V = πr²h, where V is the volume, r is the radius, and h is the height.
First, we need to find the radius by dividing the diameter by 2:
Radius = 30 cm / 2 = 15 cm
Now we can calculate the volume:
V = π(15 cm)²(100 cm)
V = 3.14 * 225 cm² * 100 cm
V = 706,500 cm³
Therefore, the cylindrical water tank will occupy a volume of 706,500 cm³ or 706.5 liters.
In parallelogram QRST,
What is
n/Q=33°.
m/T?
In parallelogram QRST, if n/Q=33°, m∠T = 33°.
Why is m∠T = 33° in the parallelogram?In a parallelogram, opposite angles are congruent. When opposite angles are congruent, it means that the angles located on opposite corners of a shape are equal in measure. This is true for several types of shapes, including parallelograms, rectangles, and squares.
Since we know that ∠Q has a measure of 33°, the opposite angle (∠T) will also have the same measure. Therefore, m∠T = 33°.
Congruent opposite angles are important in geometry because they allow us to determine other angles or side lengths of a shape through the use of angles relationships and congruence.
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21.7.3 Quiz: Intersecting Lines and Proofs
Which pairs of angles in the figure below are vertical angles?
Check all that apply.
R
P
T
D
B
The pairs of angles that are vertical angles in the figure are R and T.
In the figure provided, vertical angles are formed by the intersection of two lines. Vertical angles are always congruent (equal in measure) to each other.
Looking at the given options:
R and T are vertical angles because they are formed by the intersection of lines.
P and D are not vertical angles. They are adjacent angles formed by the intersection of lines, but they are not directly opposite each other.
Therefore, the pairs of angles that are vertical angles in the figure are:
R and T
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At a party, if 1/5 of one sheet
cake is uneaten and Tom eats
1/6 of the uneaten cake, what
fraction of the original cake
did Tom eat?
Answer:
Step-by-step explanation:
He eats 1/6 or 1/5 of the original cake.
All you need to do to get the answer is multiply the denominators.
1/5 * 1/6 = 1/30
If there was something in the numerators. you would multiply them too.
So suppose the two fractions were 3/5 and 2/7
The answer would be 3 * 2 / 5 * 7 = 6 / 35
General rule
When multiplying two fractions, multiply numerator * numerator / (denominator * denominator).
A loan of $25,475 is taken out at 4.6% interest, compounded annually. If no payments are
made, after about how many years will the amount due reach $37,500? Round to the
nearest year.
Please helpppp
Answer:
It will take 9 years
Step-by-step explanation:
use formula A=P(1+ r/n)^nt
37,500= 25,475(1+.046/1)^1*x
37,500/25,475=1.046^x
1.47203= 1.046^x
try out different numbers for x and use whole number since it asks for the nearest year
1.046^8 = 1.43302 and 1.046^9 = 1.4989
so we know its inbetween
8 and 9 to figure out one is the closest whole number try raising it to the power of 8.5 and if it passes 1.47203 then its 9, if it doesnt then its 8
1.046^8.5 = 1.46561
1.46561< 1.47203
since 1.046561 is lower than 1.47203 its safe to assume that the year is between 8.5-8.99 thus we can round up to 9
Rewrite the expression by combining like terms.
3x^2 + y + 2y^2 + 4y^2
Answer:
3x^2 + 7y^2
Step-by-step explanation:
3x^2 + y + 2y^2 + 4y^2 = 3x^2 + 7y^2
One rectangle is "framed" within another. Find the area of the shaded region if the "frame" is 1 unit wide. 5 7
The area of the Shaded region, when the frame is 1 unit wide, is 20 square units.
The area of the shaded region when one rectangle is framed within another and the frame has a width of 1 unit, we need to calculate the difference between the areas of the outer rectangle and the inner rectangle.
the dimensions of the outer rectangle as length and width, and the dimensions of the inner rectangle as length' and width'. Based on the information provided, the length and width of the outer rectangle are 5 and 7 units, respectively.
The dimensions of the inner rectangle can be found by subtracting twice the width of the frame (1 unit) from the dimensions of the outer rectangle:
Length' = length - 2 * frame width = 5 - 2 * 1 = 3 units
Width' = width - 2 * frame width = 7 - 2 * 1 = 5 units
Now we can calculate the areas of the outer and inner rectangles:
Area of the outer rectangle = length * width = 5 * 7 = 35 square units
Area of the inner rectangle = length' * width' = 3 * 5 = 15 square units
Finally, to find the area of the shaded region, we subtract the area of the inner rectangle from the area of the outer rectangle:
Area of shaded region = Area of outer rectangle - Area of inner rectangle = 35 - 15 = 20 square units
Therefore, the area of the shaded region, when the frame is 1 unit wide, is 20 square units.
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Find the missing dimension.
Answer:
1.66
Step-by-step explanation:
a = b*h
5.833 = 5*h
5.833/5 = h
1.166 = h
------------------------------------------
check work:
b*h = a
5 * 1.166 = 5.833
True
Answer:
1.66
Step-by-step explanation:
I did this already in my math class
the perimeter of a triangle is 32 feet. One side of the triangle is 11 feet longer than the second side. The third side is 9 feet longer than the second side. Find the length of each side.
Answer:
One side - 15 feet
Second side - 4 feet
Third side - 13 feet
Step-by-step explanation:
Let's call the sides A B and C, respectively.
We know that:
A = B + 11
C = B + 9
and that
A + B + C = 32
Please note that we have 3 equations and 3 unknowns. We can solve this, we'll use substitution.
A + B + C = (B + 11) + B + (B + 9) = 32
3B + 20 = 32
3B = 12
B = 4
The sides have lengths of 4+11 = 15, 4 and 4+9 = 13. This is in fact a proper triangle (because the shorter sides add up to more than the longer side).
The price of a new car was £12,500
It is reduced to £11,625
Work out the percentage reduction.
well, the reduction in value is £12500 - £11625 = £875.
if we take 12500 to be the 100%, what is 875 off of it in percentage?
\(\begin{array}{ccll} amount&\%\\ \cline{1-2} 12500 & 100\\ 875& x \end{array} \implies \cfrac{12500}{875}~~=~~\cfrac{100}{x} \\\\\\ \cfrac{100}{7}=\cfrac{100}{x}\implies 100x=700\implies x=\cfrac{700}{100}\implies x=7\)
Answer: El porcentaje de reducción exacto es de: 7%, con esto el precio de descuento es de €875.
Which is the quotient of 6 ÷ 1 3 ? A. 1 2 B. 2 C. 18 D. 24
Answer:
C.18
Step-by-step explanation:
I'm guessing you meant 1/3
Answer:
C. 18
Step-by-step explanation:
i did the test
5
Select the correct answer.
If the domain of the function, f, is restricted to x 20, which function is the inverse off?
f(x) = 91² - 12, 20
O A. q(z) = √2+1
√√2-12
3
OB. h(z)
OC. p(z) = √2-12
c.
9
√2+12
D. g(x)
O D.
The inverse of the function f(x) = 9x²- 12 is p(x) = √(x + 12)/9
How to find the inverse of the function?Given that the domain of a function f is restricted to x ≥ 0, we need to find the inverse of the function
f(x) = 9x²- 12 for x ≥ 0.
To find the inverse of the function, we proceed as follows.
f(x) = 9x²- 12
Let f(x) = y
So, we have that
y = 9x²- 12
Adding 12 to both sides of the equation, we have that
y + 12 = 9x²- 12 + 12
y + 12 = 9x²
Dividing both sides by 9, we have that
(y + 12)/9 = 9x²/9
(y + 12)/9 = x²
Taking square root of both sides, we have that
√x² = √(y + 12)/9
x = √(y + 12)/9
Now, replacing x with y, we have that
x = √(y + 12)/9
y = √(x + 12)/9
Replacing y with f⁻¹(x), we have that
f⁻¹(x) = √(x + 12)/9
So, the inverse is p(x) = √(x + 12)/9
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14x + 11 > -227 I NEED HEP
Answer: \(x < -27.7142857\)
Step-by-step explanation:
First, you move 11 to the right side, resulting in 14x > -338
Then you divide -388 by 14, which is 27.7142857, so the final statement is
\(x < -27.7142857\)Could you give me the brainiest please if I am right?
Answer:
x > -17
Step-by-step explanation:
1. You would subtract 11 from both sides. Like this (14x + 11 - 11 > -227-11)
2. Simplify it (14x > -227 - 11)
3. Next, you would subtract -227 by 11 which will give you -238 (14x > -238)
Isolating the X:
1. Divided both sides by 14 (14x/14) and (-238/14)
2. Simplify the fraction (x > -238/14)
3. You would have to find the GCF of the numerator and the denominator (x > -17 · 14/1 · 14)
4. You factor out and cancel the GCF (x > -17)
once you are satisfied with a model based on historical and , you should respecify the model using all the available data. multiple choice fit statistics holdout period evaluations diagnostic statistics analytical evaluation
Once you are satisfied with a model based on historical and diagnostic statistics you should respecify the model using all the available data.
As long as the data is pertinent and trustworthy, it is a good practice to incorporate all of the data available when constructing a statistical model. As more data reveals more information about the underlying relationships in the data, using more data can frequently result in a model that is more accurate and stable.
But it's vital to remember that the optimal model might not necessarily result from using all the data. Some of the data may be noisy or contain inaccuracies, which could make the model less accurate or stable. Before fitting the model in such circumstances, it could be required to carefully clean and preprocess the data. If a model is fit using the data, it should be evaluated using diagnostic statistics and validation techniques to ensure that it is a good fit and is able to predict future outcomes. If the model does not perform well, it may be necessary to refit the model using different specifications or a different modeling technique.
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Ms. Chung drives the same distance to go to work every Monday through Friday. On Saturday she drove g the distance she drives to work. The distance she drove on Saturday was 0.9 miles. Part A: In the first box, enter an equation to represent the distance, d, that Ms. Chung drives to work. Part B: In the second box, enter the distance Ms. Chung drives to work.
A) The algebraic expression will be 12d + 7 = 91
B) He drives 7 miles per day to work.
For 11 days straight, Ms. Chung drove the same distance every day going to and coming from work.
The distance she drove on Saturday was; 0.9 miles.
The number of miles she drives per day:
84 miles/12
= 7 miles per day
Let the number of miles she travels be day = d
12d + 7 = 91 miles
12d + 7 = 91
12d = 91 - 7
12d = 84
d = 84/12
d = 7 miles per day
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4x^{2}+16y^{2}-24x+64y+36=0
The center is:
The vertices are:
The foci are:
For the given equation,4x²−y²−24x−4y+28=0.The center is (h,k)=(3,−2), vertex (h+a,k)=(4,−2) and (h−a,k)=(2,−2), foci is (h+c,k)=(5.23,−2) and (h−c,k)=(0.77,−2)
What is the equation?An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.
It is given that, the equation of the hyperbola is,
4x²−y²−24x−4y+28=0
Comparing the equation with the standard equation we get,
Center (h,k)=(3,−2)
Vertex (h+a,k)=(4,−2) and (h−a,k)=(2,−2)
Foci (h+c,k)=(5.23,−2) and (h−c,k)=(0.77,−2)
Asymptotes y=2x−8 and y=−2x+4
Thus, for the given equation,4x²−y²−24x−4y+28=0.The center is (h,k)=(3,−2), vertex (h+a,k)=(4,−2) and (h−a,k)=(2,−2), foci is (h+c,k)=(5.23,−2) and (h−c,k)=(0.77,−2)
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Jane has been practicing sewing, and she wants to make a rectangular blanket to give as a gift to her best friend. So that the blanket is not too small, Jane decides the blanket will have an area of approximately 40 square feet, or 5,760 square inches. She also wants the blanket to be 18 inches longer than it is wide to have room to embroider her friend's name along one edge.
To the nearest tenth of an inch, what is the width of the blanket?
The width of the blanket to the nearest tenth of an inch is approximately 67.4 inches.
What is width in rectangle ?
In a rectangle, the width refers to the measurement of the shorter side of the rectangle, which is perpendicular to its length.
Let x be the width of the blanket in inches. Then the length of the blanket is x + 18 inches.
The area of the blanket is given by:
Area = Length x Width
5760 sq inches = (x + 18) inches * x inches
Expanding the right-hand side and solving for x, we get:
\(x^2 + 18x - 5760 = 0\)
We can solve this quadratic equation using the quadratic formula:
\(x = (-b \pm \sqrt{(b^2 - 4ac)}) / 2a\)
where a = 1, b = 18, and c = -5760. Plugging in these values, we get:
\(x = (-18 \pm \sqrt{(18^2 - 4(1)(-5760))}) / 2(1)\)
\(x = (-18 \pm \sqrt{(18^2 + 23040)}) / 2\)
x ≈ 67.42 or x ≈ -85.42
Since the width cannot be negative, the width of the blanket to the nearest tenth of an inch is approximately 67.4 inches.
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What should be subtracted from – 9876 to obtain – 9512?
Answer:
\(\huge\boxed{\bf\:-364}}\)
Step-by-step explanation:
Let's take the missing number as 'x'.
Now, x subtracted from - 9876 gets you – 9512.
Then,
- 9876 - x = – 9512
- x = – 9512 + 9876
- x = 364
x = - 364
\(\rule{150pt}{2pt}\)
9(3x+6)-6(7x-3)=12 solve and check
What is the inverse of the function f(x)= -1/2 (x+3)
Answer:
-2x-3
Step-by-step explanation:
See the image below:) you can use the app photo math, you just take a picture of the problem and it gives you the answer and explains the steps.
woman bought 1.8 kg of chicken and 1.6 kg of meat. The chicken cost N5.40 and the meat cost #6.40. If she had bought 2.4 kg of chicken and 2 kg of meat, how much would she have had to pay?
The amount the women would pay for 2.4 kg of chicken and 2 kg of meat in total is $15.2
What is the unit price?The meaning of unit price is a price quoted in terms of so much per agreed or standard unit of product or service
Given that, a woman bought 1.8 kg of chicken and 1.6 kg of meat. The chicken cost $5.40 and the meat cost $6.40,
We need to find, if she had bought 2.4 kg of chicken and 2 kg of meat, how much would she have had to pay,
To find the same, we will first find the unit price of each,
Unit price = total price / total quantity
Since, 1.8 kg of chicken costs $5.40,
Therefore, 1 kg will cost = 5.40 / 1.8 = $3
Similarly,
If 1.6 kg of meat costs $6.40,
Therefore, 1 kg will cost = 6.40 / 1.6 = $4
Now, to find the cost of 2.4 kg of chicken and 2 kg of meat, we will multiply the unit prices to the required quantities,
Therefore,
2.4 kg of chicken will cost = 2.4 x 3 = $7.2
2 kg of meat will cost = 2 x 4 = $8
In total, she had to pay = 8+7.2 = $15.2
Hence, the amount the women would pay for 2.4 kg of chicken and 2 kg of meat in total is $15.2
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2. The population of a town was 7,250 in 2014
and 7,375 in 2015. What was the percent
increase from 2014 to 2015 to the nearest
tenth of a percent?
A) 1.5%
B) 1.6%
C) 1.7%
D) 1.8%
E) 2.0%
E
The percentage change of the population is P = 1.7 %
Given data ,
To calculate the percent increase from 2014 to 2015, we need to find the difference between the two population values, divide it by the initial value, and then multiply by 100 to get the percentage.
Population increase = 7,375 - 7,250 = 125
Percent increase = (Population increase / Initial population) * 100
Percent increase = (125 / 7,250) * 100 ≈ 1.7241
Rounding to the nearest tenth of a percent, the percent increase is approximately 1.7%.
Hence , the percentage change is P = 1.7 %
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Ahmed multiplies 8 by 1.15. Which number he is trying to find?
Answer:
9.2
Step-by-step explanation:
8×1.15 = 9.2
I think..
Question:
Ahmed multiplies 8 by 1.15. Which number is he trying to find?
______________________________________________
Solution:
On multiplying 8 by 1.15, we get,
= 8 * 1.15
= 1¹ . 1⁴ 5
* 8
9 . 2 0
To the power 1 and 4 show that 1 and 4 carried over.
Hence the number he is trying to find is 9.20 or 9.2.
Ayuda operaciones y respuesta es para ahora
The perimeter of the given window is 48 centimeter.
From the given figure,
Perimeter of window = 2(Length+Breadth)
= 2(10+14)
= 2×24
= 48 centimeter
Perimeter of house = 2(Length+Breadth)
= 2(37+35)
= 2×72
= 144 centimeter
Perimeter of roof = 2(Length+Breadth)
= 2(37+5)
= 2×42
= 84 centimeter
Therefore, the perimeter of the given window is 48 centimeter.
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Evaluate m-+ (m + p) + 2t if m= 3,1 = 10, and p = 2.
(A) 3
(B) 48
(C) 12
(D) 6.693
Answer:
The answer is A.
Step-by-step explanation:
Put in all the numbers given to us:
m = 3
t = 10
p = 2
3-10^2/(3+2)+2*10 = 3
6x^2+7+x-x^2 what is this ?
Answer:
5x^2 + x + 7.
Step-by-step explanation:
6x^2 + 7 + x - x^2
= (6x^2 - x^2) + (x + 7) // Rearranging the terms
= 5x^2 + x + 7
So, 6x^2 + 7 + x - x^2 simplifies to 5x^2 + x + 7.
how do i solve for x
Answer:
55
Step-by-step explanation:
If x=yand yz, which statement must be true
On the given statement, the transitive property is applicable. Thus option A is correct option.
According to the statement
we have to find that the which statements are true in the form of given statement.
So, For this purpose, we know that the
A property is called transitive property, if x, y and z are the three quantities, and if x is related to y by some rule, and y is related to z by the same rule, then we can say x is related to z by the same rule.
And the given equation is
x=y and y = z
from this it is clear that the x= z.
then transitive property is perfect for this.
So, On the given statement, the transitive property is applicable. Thus option A is correct option.
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Disclaimer: This question was incomplete. Please find the full content below.
Question:
If x=y and y = z, which statement must be true
A. Transitive property applicable here
B . Associative property applicable here
C . Distributive property applicable here
D . Identity property applicable here
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which weight is greater than 5,000 lbs.
Answer:
6000 lbs is greater then 5000!
Step-by-step explanation: