6.0000000001
Ans right
How do I answer this question pls help me
Answer:
14.7 quarts
Step-by-step explanation:
Use the given equivalence figures to write a proportion. Solve the proportion for the unknown value.
__
quarts/liters = x/14 = 1/0.95 . . . . . the conversion is given as 1 qt = 0.95 L
Multiply by 14 to find x.
x = 14(1/0.95) ≈ 14.7
There are about 14.7 quarts in 14 liters.
_____
Additional comment
You are given a value in liters (14 liters) and asked for the equivalent in quarts. That means you want to change the units from liters to quarts. To do that, you can multiply the given value (14 liters) by a conversion factor that has quarts in the numerator and liters in the denominator. That is what the fraction 1/0.95 is in the above. You will note that units of liters cancel in this equation.
[tex](14\text{ liters})\times\dfrac{1\text{ quart}}{0.95\text{ liter}}=\dfrac{14}{0.95}\text{ quarts}\approx14.7\text{ quarts}[/tex]
This rule, "use a conversion factor that divides by the units you don't want and multiplies by the units you do want" applies to any units conversion problem. The conversion factor you use should always have equal quantities in the numerator and denominator. (Here, the equal quantities are 1 quart and 0.95 liters.)
You will notice that we treat units just like any variable. They can be multiplied, divided, cancelled, raised to a power. Only terms with like units can be added or subtracted.
\In a mouse population, some mice have thicker fur than others, but there are more mice with thinner fur. The climate in which these mice live has slowly gotten colder.
How will this change in the environment most likely affect the mouse population?
The adaptation of thinner fur will be selected over thicker fur, and the population will remain unchanged.
The adaptation of thicker fur will be selected over thinner fur, and the population will remain unchanged.
The adaptation of thinner fur will be selected over thicker fur, and the population will evolve.
The adaptation of thicker fur will be selected over thinner fur, and the population will evolve.
The adjustment of thicker fur will be selected over thinner fur, and the population will develop. Then the correct option is D.
What is decision-making?Determining the proper option, acquiring evidence, and exploring various options are all steps in the decision-making process.
In a mouse population, some mice have thicker fur than others, but there are more mice with thinner fur.
The climate in which these mice live has slowly gotten colder.
The change in the environment most likely affect the mouse population will be
The adjustment of thicker fur will be selected over thinner fur, and the population will develop.
Then the correct option is D.
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Eva has put down three rows of tiles across the width of the kitchen. Each square tile is 17.5 cm wide. Between the tiles she puts a layer of glue 4mm thick. work out the total length of the floor that Eva's three rows of tiles cover so far.
The selling price of an article is Rs 270. If the article was sold at 10 % discount from the marked price, find the marked price.
Answer:
s. p = 270 Rs
discount = 10%
mp.= ?
Mp = s. p + discount
= 270 + 10/100*270
= 270 + 27
= 297 Rs
297 Rs is the marked priceAnswer:
[tex]\huge\boxed{\sf Rs.\ 297}[/tex]
Step-by-step explanation:
Selling Price = Rs. 270
Discount = 10%
Discount in Rs.:= 10% of 250
[tex]\displaystyle =\frac{10}{100} \times 270[/tex]
= 1 × 27
= Rs. 27
Marked Price:= Selling Price + Discount
= 270 + 27
= Rs. 297
[tex]\rule[225]{225}{2}[/tex]
Betty has the option of using three types of tables in her coffee shop:
square tables with a side length of 36 inches
rectangular tables 20 inches wide and 73 inches long
round (circular) tables with a diameter of 42 inches.
Which type of table has the largest area?
a.)
Square tables
b.)
Rectangular tables
c.)
Round tables
d.)
The tables all have the same area.
Answer:
The rectangular table
Step-by-step explanation:
Square table: 36*36=1296
Rectangular table: 20*42=1460 [tex]in^{2}[/tex]
Circular table: [tex]\pi * 21^{2}[/tex]≅1384
How many sulotions does this system have? 6x-y=-1 6x+y=-1
Answer:
6/6
Step-by-step explanation:
6/6 not equal -1/1 so these lines intersect each other at only one point hence these have only one solution.
Answer:
I can give you the answer if you can answer a question
Step-by-step explanation:
Can someone please help me
Answer:
minimum value is 3, maximum value is 4.459
Step-by-step explanation:
[tex] log_{2}(8) = \frac{ log(8) }{ log(2) } = 3[/tex]
[tex] log_{2}(22) = \frac{ log(22) }{ log(2) } = 4.459[/tex]
PLEASE ANSWER ASAP!!!!!!!
a⃗ =<5, −1> and b⃗ =<2,−2>.
Represent a⃗ +b⃗ using the head-to-tail method.
Use the Vector tool to draw a⃗ and b⃗ , complete the head-to-tail method, and draw a⃗ +b⃗
To use the Vector tool, select the initial point and then the terminal point.
(please give picture of graph)
OC represents vector a and b drawn using the head-to-tail method.
What is a Vector ?A vector is an object that has both magnitude and direction.
The given vectors are
a =<5, −1> and b =<2,−2>
Representing vector a +b using the head and tail method
Here in the image attached with the answer ,
The vector a is represented by OA and the vector b is represented by OB
By head and tail method , the OC is drawn by extending the vector a towards b and b towards a
Vector OC = Vector OA + Vector OB
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If with 150 grams of ground meat a tortilla is prepared to make a hamburger. How many tortillas can I make with one and a half kilograms of ground meat?
Answer:
You can make 10 tortillas with one and a half kilograms of ground meat
Step-by-step explanation:
one and a half kilograms to grams
1.5kg x 1000 = 1500g
150 grams prepared to make 1 hamburger
than, 150 x h = 1500
h = 1500 / 150
h = 10
Answer:
10 tortillas
Step-by-step explanation:
First convert kilograms to grams:
1 kg = 1000 g
⇒ 1.5 kg = 1500 g
Let x = number of tortillas made with 1500 g of meat
Set up a ratio of tortillas and meat and solve for x:
⇒ 1 tortilla : x tortillas = 150 g meat : 1500 g meat
[tex]\sf \implies \dfrac{1}{x}=\dfrac{150}{1500}[/tex]
[tex]\sf \implies 1 \cdot 1500= 150 \cdot x[/tex]
[tex]\sf \implies 1500=150x[/tex]
[tex]\implies \sf x=\dfrac{1500}{150}[/tex]
[tex]\implies \sf x=10[/tex]
Therefore, 10 tortillas can be made with 1.5 kg of ground meat.
. All the students in SS3 of a named school take either Mathematics (M), or Physics (P) or Chemistry (C). 40 take Mathematics, 42 take physics, 38 take Chemistry, 20 take Mathematics and Physics, 28 take Physics and Chemistry while 25 take mathematics and chemistry.
How many take
(a) All the three subject:
(b) Mathematics, but neither Physics nor Chemistry
(c) Physics, but neither Mathematics nor Chemistry
Answer:
(a) = 13
(b) = 8
(c) = 5
Step-by-step explanation:
Addition theorems on sets are
Theorem 1 :
n(AuB) = n(A) + n(B) - n(AnB)
Theorem 2 :
n(AuBuC) : = n(A) + n(B) + n(C) - n(AnB) - n(BnC) - n(AnC) + n(AnBnC)
Total number of students in the school is not given
so let there are 60 students in the school
using theorem 2
n(AuBuC) : = n(A) + n(B) + n(C) - n(AnB) - n(BnC) - n(AnC) + n(AnBnC)
let n(A) = Mathematics, n(B) =Physics and n(C) = Chemistry
so putting values,
60 = 40 + 42 + 38 - 20 - 28 - 25 + n(AnBnC)
60 +73 -120 = n(AnBnC)
13 = n(AnBnC)
therefore, there are total 13 students who take all three subjects
Number of students who had taken only Mathematics =
n(A) - n(AnB) - n(AnC) + n(AnBnC)
40 - 20 - 25 + 13
53 - 45 = 8 students
Number of students who had taken only Physics =
n(B) - n(BnA) - n(BnC) + n(AnBnC)
42 - 20 - 28 + 13
53 - 48 = 5 students
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Julie invests money in an account that pays compound intrestof 5% per annum after 3 years julie has 2778.30 how much did julie initially invest
Answer:
[tex]\huge\boxed{2400}[/tex]
Useful Information:
The formula for compound interest is: [tex]initial.amount*interest.rate^{no.years}[/tex]
Step-by-step explanation:
To work this out, you would first have to convert the percentage into a decimal. You can do this by dividing the percentage of 5% by 100, which gives you 0.05. This is because percentages are out of 100.
The next step is to add 1 to 0.05, this gives you 1.05. This is because you are working out the percentage increase.
The next step is to substitute the values into the formula. This gives you[tex]initial.amount*1.05^{3}=2778.30[/tex]
To work out the initial value, you would divide the final amount of 2778.30 by [tex]1.05^3[/tex], which gives you 2400. This is because you are rearranging the formula to find the initial investment.
1) Divide 5 by 100.
[tex]\frac{5}{100}=0.05[/tex]
2) Add 1 to 0.05.
[tex]1+0.05=1.05[/tex]
3) Substitute the values into the formula.
[tex]initial.amount*1.05^{3}=2778.30[/tex]
4) Divide 2778.30 by [tex]1.05^3[/tex].
[tex]\frac{2778.30}{1.05^3}=2400[/tex]
Error Analysis Your classmate
says she drew HJ as an altitude of
triangle ABC. What error did she make?
Answer:
Step-by-step explanation:
Remark
An altitude is a very special line. It must start from one of the angles and connect with the side opposite that angle. The connection must form a right angle.
It cannot start anywhere else -- certainly not in the middle of a line which would make the altitude of random importance. It could not be accurately reproduced.
7. Ms. Vickory assigned the problem: 8/9-4/6. Three of her students' responses are below. Who completed the problem correctly? What common mistakes did the other two students make?
The three students
Sue- 8/9-4/6=4/3 or 1 1/3
Jim- 8/6 - 4/6 = 48/54 - 36/54= 12/54 or 2/9
Bob- 8/9- 4/6 = 8/54-4/54= 4/54 = 2/27
Answer:
Jim: 2/9
Step-by-step explanation:
8/9-4/6
48/54-36/54 [Convert each fraction to a common denominator: 54
Multiply (8/9)*(6/6)=48/54; Multiply (4/6)*(9/9) = 36/54]
48/54-36/54 = 12/54
12/54 can be reduced to 2/9
Jim also has 2/9
Sue- 8/9-4/6=4/3 or 1 1/3: Sue subtracted both the numerator and denominator. This is not correct.
Jim- 8/6 - 4/6 = 48/54 - 36/54= 12/54 or 2/9: Good Job Jim
Bob- 8/9- 4/6 = 8/54-4/54= 4/54 = 2/27: Bob converted both denominators to 54, but did not multiply the numerators by the same numbers. Bad Bob.
PLEASE HELP
Mary is three times as old as her son. In 12 years, Mary's age will be one year less than her son's age. How old is each now?
Answer:
Son's Age: 11
Mary's Age: 33
Step-by-step explanation:
Let set Mary and her son as variables,
M = Mary's age
S = Mary's son age
Breakdown:
"Mary is three times as old as her son"
M = 3S
"In 12 years, Mary's age will be one less than twice her son's age"
M + 12 = 2(S + 12) - 1
we add 12 to both sides as it will be in 12 years for both
We know that M = 3S, so we plug this in
3S + 12 = 2(S + 12) - 1
Now solve for S (son's age),
3S + 12 - 12 = 2(S + 12) - 1 - 12
3S = 2(S + 12) - 13
3S = 2S + 24 - 13
3S - 2S = 2S - 2S + 24 - 13
S = 24 - 13
S = 11
To find Mary age, plug in her son age ,
M = 3S
M = 3(11)
M = 33
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Solve using a proportion.
A carpet store charges $150 to install 12 square yards of carpet. How much should it cost to
install 24 square yards?
A. $250
B. $300
C. $3,600
D. $192
I need this answer . I would be happy if I got it .
Answer:
15cm
Step-by-step explanation:
PC = 15
BR = 15
.
............................................
Paolo and Monika are both travelling by train.
Paolo's train travels 70 km in 35 minutes.
Monika's train travels 684 km.
It leaves at 16:15 and arrives at 20:45.
Work out the difference, in km/h, between the average speed of their trains.
Answer:
32 km/hr
Step-by-step explanation:
Firstly, you need to find the speed of both trains in km/hr.
Paolo's train= (70km x 60hr)/35= 120 km/hr
Monika's train= 684km/4.5hr= 152 km/hr
Then find the difference in speed:
152-120=32 km/hr
If t = 0 in 1980, find the value for t in 1990
The value of t is 6.65
What is exponential function?An exponential function is a mathematical function of the following form: f ( x ) = a^x. where x is a variable, and a is a constant called the base of the function.
Given:
A= 210 million
P= A e^(kt)
225 = 210 * e ^ (0.0069t)
225/210= e ^ (0.0069t)
1.07 = e ^ (0.0069t)
Taking log on both side
log 1.047 = 0.0069 t log e
[tex]\frac{0.0069t\ln \left(e\right)}{0.0069\ln \left(e\right)}=\frac{\ln \left(1.047\right)}{0.0069\ln \left(e\right)}[/tex]
t= log ( 1.047) / 0.0069
t= 6.65
Hence, value of t is 6.65.
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Answer:
Step-by-step explanation:
PLEASE HELP ASAP!!!!!!!!!
Prove the trigonometric identity.
tanx+cotx/cscx cosx=sec^2x
Drag an expression to each box to correctly complete the proof.
The proof will be given as:- [tex]\dfrac{tanx+Cotx}{Coscx Cosx} = Sec^2x[/tex].
What is trigonometry?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
The proof will be given as:-
[tex]\dfrac{tanx+Cotx}{Coscx Cosx} = \dfrac{tanx}{coscxCosx}+\dfrac{Cosx}{CoscxCosx}\\\\[/tex]
[tex]\dfrac{tanx+Cotx}{Coscx Cosx} =\dfrac{\dfrac{Sinx}{Cosx}}{\dfrac{Cosx}{Sinx}}+\dfrac{\dfrac{Cosx}{Sinx}}{\dfrac{Cosx}{Sinx}}[/tex]
[tex]\dfrac{tanx+Cotx}{Coscx Cosx} = \dfrac{Sin^2x}{Cos^2x}+1[/tex]
[tex]\dfrac{tanx+Cotx}{Coscx Cosx} = tan^2x+1}[/tex]
[tex]\dfrac{tanx+Cotx}{Coscx Cosx} =Sec^2x[/tex]
Therefore the proof will be given as:- [tex]\dfrac{tanx+Cotx}{Coscx Cosx} = Sec^2x[/tex].
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give me da answer.........................................................................
Answer:
Ok ya sure I would love to. :)
Step-by-step explanation:
Oh wait….
*Crickets chirping*
Solve: 7 x + 2 y = 16; -21 x-6 y = 24 Solve : 7 x + 2 y = 16 ; -21 x - 6 y = 24
Answer:
No solution
Step-by-step explanation:
Solving system of linear equations:7x + 2y = 16 ----------------(I)
-21x - 6y = 24 -----------------(II)
[tex]\sf \dfrac{a_1}{a_2}=\dfrac{7}{-21}=\dfrac{-1}{3}\\[/tex]
[tex]\sf \dfrac{b_1}{b_2}=\dfrac{2}{-6}=\dfrac{-1}{3}[/tex]
[tex]\sf \dfrac{c_1}{c_2} =\dfrac{16}{24}=\dfrac{2}{3}\\\\ \dfrac{a_1}{a_2}=\dfrac{b_1}{b_2} \neq \dfrac{c_1}{c_2}[/tex]
So, the lines are parallel and has no solution
John ordered a caramel tea and he was lucky enough it was 20% off so if the original price was $5.75 how much does it cost??
Kyle claimed that the given quadrilaterals are similar because the ratio of their corresponding sides is equal. Is Kyle's claim Incorrect or correct? In two or more complete sentences, Justify your answer.
In square, all angles are of 90°, but in rhombus, opposite angles are equal, but adjacent angles are not equal. Kyle's claim is Incorrect.
What is a quadrilateral?It is a polygon with four sides. The total interior angle is 360 degrees.
Kyle claimed that the given quadrilaterals are similar because the ratio of their corresponding sides is equal.
Kyle's claim is Incorrect. Because the shapes are square and rhombus.
In square, all angles are of 90°, but in rhombus, opposite angles are equal, but adjacent angles are not equal.
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express the set x < 1 using interval notation
Answer:
(−∞,1)
Step-by-step explanation:
what is the volume of a triangular prisim if the length is 4cm heigght is 3cm and width is 11cm
Volume is a three-dimensional scalar quantity. The volume of the triangular prism is 66cm².
What is volume?A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.
Given the length of the triangle is 4cm, while the width of the triangle is 11cm, therefore, the area of the base of the triangle will be,
Area of triangle = 0.5 × 4cm × 11cm
Area of triangle = 22 cm²
Now, the volume of the prism with a base area of 22cm² and a height of 3 cm is,
Volume of the triangular prism = 22cm² × 3cm = 66cm³
Hence, the volume of the triangular prism is 66cm².
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A _________________ is a numerical measurement describing some characteristic of a population.
Answer:
parameter
Step-by-step explanation:
find the value of a from the following 1. sin3a=cos3a
✏Answer:
Sin3A=Cos3A
Cos(90-3A)=Cos3A
90-3A=3A
90=3A+3A
90=6A
90/6=A
A=15^•^
The answer is A=15
Consider figures 1 and 2 shown on the coordinate plane. Figure 1 has been transformed to produce figure 2. Graph shows 2 quadrilaterals plotted on a coordinate plane. Quadrilateral 1 in quadrant 1 has vertices at (1, 3), (2, 5), (5, 5), (5, 3). Quadrilateral 2 in quadrant 4 has vertices at (1, minus 3), (5, minus 3), (5, minus 5), (2, minus 5). Describe the transformation. This transformation can be described by?
Using translation concepts, it is found that this transformation can be described as a reflection across the x-axis.
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem, considering the vertices of quadrilateral 1 and quadrilateral 2, the transformation from quadrilateral 1 to quadrilateral 2 has the following format:
(x,y) -> (x, -y).
Which means that it can be described as a reflection across the x-axis.
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x + 3y > –3 and y < One-halfx + 1?
The complete question is
"Which is the graph of the system x + 3y > –3 and y < One-halfx + 1?"
The solution is the intersection region of all the solutions in the system of inequalities.
What is inequality?Inequality is defined as the relation which makes a non-equal comparison between two given functions.
We know that the lines are given as;
x + 3y = -3
y = 1/2 x + 1
Solving for "y" from the first line;
3y = -3 - x
y = -1 - x/3
For the line x + 3y = -3 the x-intercepts;
y = 0
y = -1 - x/3
0 = -1 - x/3
x/3 = -1
x = -3
And the y-intercept;
y = -1
For the line y = 1/2 x + 1 the x-intercepts;
y = 0
0= 1/2 x + 1
1/2x = -1
x = -2
And the y-intercept
x = 0
y = 1
Now we can graph both lines,
The solution is the intersection region of all the solutions in the system of inequalities.
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Let the numbers below represent the lengths of the sides of a triangle. Which of the triangles is a right triangle?
I. 4, 5, 6
II. 6, 8, 10
III. 5, 13, 14
IV. 7, 11, 13
A
I
B
II
C
III
D
IV
Answer:
B. II (6, 8, 10)
Step-by-step explanation:
A set of triangle side lengths will form a right triangle if they satisfy the Pythagorean theorem. The sum of squares of the shortest two sides must equal the square of the longest side.
__
Pythagorean triplesSets of integers that satisfy the Pythagorean theorem are called "Pythagorean triples." Some of these for smaller integers are ...
(3, 4, 5), (5, 12, 13), (7, 24, 25), (8, 15, 17)
If small integer side lengths are not one of these triples, or a multiple of one of these triples, they will not form a right triangle.
I. not a match to any triple
II. matches (3, 4, 5) multiplied by 2 -- a right triangle
III. not a match to any triple
IV. not a match to any triple
_____
Pythagorean equationOf course, you can actually compute the squares to see if they satisfy the Pythagorean theorem:
I. 4² +5² = 41 ≠ 6² (acute triangle)
II. 6² +8² = 100 = 10² -- right triangle
III. 5² +13² = 194 ≠ 14² (obtuse triangle)
IV. 7² +11² = 170 ≠ 13² (acute triangle)
__
form factorThe sum f = a² +b² -c² (where c is the longest side) can be considered to be a "form factor" for the triangle. For ...
f>0, the sides form an acute triangle f=0, the sides form a right trianglef<0, the sides form an obtuse triangleThis "form factor" is related to the largest angle (C) by ...
cos(C) = f/(2ab)
