Explanation:
170% of 16 means:
\(\frac{170}{100}\cdot16\)Which is:
\(\begin{gathered} 1.7\cdot16 \\ =27.2 \end{gathered}\)Answer: 27.2
1) a. Write an equation that expresses the first law of thermodynamics in terms of heat and work.
b. Under what conditions will the quantities q and w be negative numbers?
The first law of thermodynamics is a fundamental principle in physics that states energy cannot be created or destroyed, only converted from one form to another. It can be expressed in terms of heat and work through the equation:
ΔU = q - w
where ΔU represents the change in internal energy of a system, q represents the heat added to the system, and w represents the work done on or by the system.
Now, let's address when the quantities q and w would be negative numbers.
1) When q is negative: This occurs when heat is removed from the system, indicating an energy loss. For example, when a substance is cooled, heat is extracted from it, resulting in a negative value for q.
2) When w is negative: This occurs when work is done on the system, decreasing its energy. For instance, when compressing a gas, work is done on it, leading to a negative value for w.
In both cases, the negative sign indicates a reduction in energy or the transfer of energy from the system to its surroundings.
In summary, the first law of thermodynamics can be expressed as ΔU = q - w, and q and w can be negative numbers when energy is lost from the system through the removal of heat or when work is done on the system.
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help plzzzzzzzzzzzzzzzzzzzzz
Answer:
A and C
Step-by-step explanation:
#CarryOnLearning
What are the solutions of 5-3n > -4?
Answer:
n < 3
Explanation:
Which of the following can be used to evaluate the series 224)***,
Answer:
442
Step-by-step explanation:
3(x+1) - 8 = 5+x
how to do this step by step
Answer:
x=5
Step-by-step explanation:
solve brackets first=
3x+3-8=5+x
3x-5=5+x (simplify the like terms)
3x-x=5+5 ( take to one side; the like terms)
2x=10 (simplify)
x=10/2 (take to one side like terms)
x=5 (soo. answer)
\(3(x + 1) - 8 = 5 + x\)
\(3x + 3 - 8 = 5 + x\)
\(3x - 5 = 5 + x\)
\(3x - x = 5 + 5\)
\(2x = 10\)
\(x = \frac{10}{2} \)
\(x = 5\)
In a survey of 1,400 people who owned a certain type of car, 900 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?
Answer:
about 64.29%
Step-by-step explanation:
900/1400= 0.64285...
=about 64.29%
The midpoint of ab =
Answer:
M(x,y) = (0,0)
Step-by-step explanation:
The endpoints are (2,2) and (-2,-2)
Let's find the midpoint now
=> M(x,y) = \((\frac{x1+x2}{2}, \frac{y1+y2}{2})\)
=> M(x,y) = \((\frac{2-2}{2} ,\frac{2-2}{2})\)
=> M(x,y) = \((\frac{0}{2} , \frac{0}{2} )\)
=> M(x,y) = (0,0)
Answer:
(0, 0)
Step-by-step explanation:
(-2, -2) is point B.
(2, 2) is point A.
The center or midpoint of the line is:
(x1 + x2)/2 , (y1 + y2)/2
(2+-2)/2 , (-2+2)/2
0/2, 0/2
0, 0
Danny charges $22 for 2 hours of swimming lessons, Martin charges $90 for 5 hours of swimming lessons. Who offers a better deal?
Answer:
danny
Step-by-step explanation:
Danny charges $11 a hour while martin charges $18 a hour
Answer:
Danny offers a better deal
Step-by-step explanation:
Because you have to find out how much each person is charging for each hour of swimming lessons divide Danny's $22 by 2 to get $11 for one hour. And divide Martin's $90 by 5 to get $18 for one hour. Danny is giving you a better deal than Martin.
A boat can travel 300 miles on 60 gallons of gasoline. How much gasoline will it need to go 180 miles?
Answer:
36 gallons
Step-by-step explanation:
300 miles/60 gallons= 5 miles per gallon
180 divided by 5 is 36 gallons!
hope this helps :)
there are 10 children in line. four are girls the rest are boys. which number sentence can be used to find the number of boys in line?
Answer:
Im sorry i dont understand what you mean by sentence but there are 6 boys
Step-by-step explanation:
classify the quadrilateral by its most specific name. then find the missing angle measure(s)
The specific name of the quadrilateral is kite
The measures of the missing angles are 75 degrees each
How to determine the quadrilateralTo determine the measure of the angle, we need to know the different properties of a kite.
The properties of a kite includes;
Two pairs of adjacent sides are equal.Two diagonals intersect each other at right angles.The longer diagonal bisects the shorter diagonal.The angles opposite to the main diagonal are equal.Since the adjacent angles are equal, we have that;
105+ x = 180
collect the like terms, we have;
x = 180 - 105
x = 75 degrees
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The quadrilateral is a kite and the missing angles are 105° and 45°
What is a kite?A kite is a quadrilateral that has 2 pairs of equal-length sides and these sides are adjacent to each other.
A kite has a pair of equal angle and the diagonals of a kite meets at 90°.
In a kite , there are two pairs of congruent or equal sides.
This means that the missing angles are
The opposite angle to 105 is also 105°
The fourth angle is calculated as;
105+105+105+x = 360
= 315 +x = 360
x = 360- 315
x = 45°
Therefore the quadrilateral is a kite and the missing angles are 105° and 45°
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Como se faz o cálculo 13÷5,2
a resposta para a sua pergunta é 2.5 esperança que ajuda por favor marcar como mais inteligente se correto obrigado
to use a binomial distribution to approximate the count of successes in an srs, why do we require that the sample size n be no more than 10% of the population size n?
When the 10% criterion is met, we can use a binomial distribution to approximate the number of successes in a simple random sample (SRS) (as a simple random sample selects the trials without replacement).
The sample must be less than 10% of the population in order to satisfy the 10% requirement. It is fair to presume that the trials are independent because the sample is so much smaller than the population (even though the sampling occurred without replacement).
This suggests that the sample size n in this situation must be less than 10% of the population size NN.
This is the reason why 10% condition should be met.
In a binomial probability distribution, the number of successes in a series of n experiments is represented as either success or failure (probability q = 1 p), depending on the outcome's boolean value. A Bernoulli trial or experiment is another name for a single success or failure test, while a Bernoulli process is another name for a sequence of results.
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In the circle below, suppose m VUX = 152° and mZUVW = 77º. Find the following.
(a) m ZVUX =
(b) m ZUXW =
Given:
In the circle, \(m(\overarc{VUX})=152^\circ\) and \(m(\angle MUV)=77^\circ\).
To find:
The following measures:
(a) \(m\angle VUX\)
(b) \(m\angle UXW\)
Solution:
According to the central angle theorem, the central angle is always twice of the subtended angle intercepted on the same same arc.
\(m(VUX)=2\times m\angle VWX\)
\(152^\circ=2\times m\angle VWX\)
\(\dfrac{152^\circ}{2}=m\angle VWX\)
\(76^\circ=m\angle VWX\)
In a cyclic quadrilateral, the opposite angles are supplementary angles.
UVWX is a cyclic quadrilateral. So,
\(m\angle VUX+m\angle VWX=180^\circ\) [Opposite angles of a cyclic quadrilateral]
\(m\angle VUX+76^\circ=180^\circ\)
\(m\angle VUX=180^\circ-76^\circ\)
\(m\angle VUX=104^\circ\)
Now,
\(m\angle UXW+m\angle UVW=180^\circ\) [Opposite angles of a cyclic quadrilateral]
\(m\angle UXW+77^\circ =180^\circ\)
\(m\angle UXW=180^\circ-77^\circ\)
\(m\angle UXW=103^\circ\)
Therefore, \(m\angle VUX=104^\circ\) and \(m\angle UXW=103^\circ\) .
Graph the linear equation y=2x-1.
Answer:
https://youtu.be/R0A-fEUWv1Y
Step-by-step explanation: I found this vid just watch this I hope it helps (just copy and paste)
Which property is illustrated by the statement 4+(9+12)=(4+9)+12
Answer:
Associative Property of Addition
Step-by-step explanation:
Associative Property of Addition:
For any real numbers a, b, and c, (a + b) + c = a + (b + c).
Answer:
Commutative Property of Addition
Step-by-step explanation:
Write the converse of the following statement.
If two lines have equal slopes, then the lines are parallel.
Answer:
If two lines are parallel, then they have equal slopes.
Step-by-step explanation:
Conditional:
If two lines have equal slopes, then the lines are parallel.
Converse: switch the hypothesis and the conclusion.
Converse:
If two lines are parallel, then they have equal slopes.
A wood, rectangular box, with no top, is constructed with five panels that are each one centimeter thick. The external dimensions of the base are cm by cm, and the external height is cm. When the box is totally submersed in paint, how many square cm of painted surface will there be
The box is totally submersed in paint, how many square cm of painted surface will there be = 2216 cm^2
What is rectangular?Having four right angles makes a rectangle a quadrilateral. It can alternatively be explained in terms of an equiangular quadrilateral—a term that refers to a quadrilateral whose angles are all equal—or a parallelogram with a right angle. A square is a rectangle with four equally long sides.
According to the given information:The external dimensions of the
base are 16 cm by 24 cm,
the external height is 10 cm
So , finding the area of A1 , A2 , A3
A1 = 2* 16* 10 + 2* 24 * 10 + 1 * 16 * 24
= 1184
A2 = 2 * 14 * 9 + 2 * 22 * 9 + 1 * 14 * 22
= 956
A3 = 16 *24 - 14 * 22
= 76
Total area will be :
A = 1184 + 956 + 76
= 2216 cm^2
The box is totally submersed in paint, how many square cm of painted surface will there be = 2216 cm^2
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amie and Nashwa share some money in the ratio 10:7. Jamie gets $36 more than Nashwa. How much do they get each?
The amount Jamie got be x = $36,
The amount Nashwa got be y = $25.2
We can get Jamie and Nashwa got $10.8 altogether.
Based on the given conditions,
Amount Jamie got = $36Ratio of Jamie to Nashwa = 10 : 7To find how much Jamie gets more than Nashwa.
First of all, we would have to solve for Jamie share from the money.
x : y = 10 : 7 (Equation-1)
But,
Jamie got amount = $36
We can substitute in x = $36 in equation-1,
Let us assume,
Jamie = x
Nashwa = y
So,
We can write,
x : y = 10 : 7
$36 : y = 10 : 7
\(\frac{36}{y} =\frac{10}{7}\)
We can cross-multiplying,
36*7 = 10y
252 = 10y
y = 252/10
We can divide the products,
y = 25.2
Hence,
Nashwa = $25.2
Difference of the Jamie and Nashwa,
Difference = x - y
Difference = $36 - $25.2
Difference = $10.8
We can write,
Jamie gets $36 more than Nashwa.
$25.2 + $10.8 = $36
$36 = $36
Therefore,
The amount Jamie got be x = $36
The amount Nashwa got be y = $25.2
We can get they got $10.8 altogether.
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The head of a nail is circular, as shown. The head of this nail has a diameter of 6 millimeters. Which measurement is closest to the area of the head of this nail in square millimeters?
Answer: \(\boxed{\ 28.26}\)
My step-by-step explanation:
We would use the formula πr2 (pi x radius x radius)2.In this problem we were given the diameter of 6, in order to find the radius, you just divide by 2
And so we find: 6mm÷2=3mm3. So now that we have our radius, we can just plug the numbers into the formula. So this would be:
πr2= 3.14 x 3 x 3= 28.26mm2Hope this helps you!
ollie had 43 on the day before his birthday after he received some money for his birthday he had 68 how much money ollie received for his birthday
Answer:
Step-by-step explanation:43₊68=111
5. Yesterday at the museum, 602 people viewed the dinosaur exhibit. This
attendance was 10 less than 3 times the number of people who viewed the
wetlands exhibit. How many people viewed the wetlands exhibit
yesterday?
Answer:
204
Step-by-step explanation:
let the number of people who viewed wetland exhibit be x
so 3x -10 =602
we add 10 on both sides
3x-10+10=602+10
3x=612
divide both sides by 3
3x/3= 612/3
x=204
The number of people who viewed the wetland exhibit are 204
Tess sang 2 fewer songs today than she did yesterday. Yesterday, Tess
sang 9 songs. Which number sentence can be used to find the number
of songs Tess sang today?
9 + 2 =
9- 2 =
9-9 =
Answer:9-2 is the right one
Step-by-step explanation:
What does the x epaul in this equation 1/4x=1/4
Answer:
1
Step-by-step explanation:
1/4x=1/4
x=(1/4)/(1/4)
x=(1/4)(4/1)
x=4/4
x=1
Answer: 1
Step-by-step explanation:
1
Simplify —
4
1 1
(— • x) - — = 0
4 4
Maria wants to buy a new couch that costs $850. She already has $250 in her piggy
bank and she is going to put away $40 per week. How long will it take for her to have
enough money to buy the couch?
Answer:
15 weeks
Step-by-step explanation:
850-250= 600
40*15= 600
Halla el Perímetro y Area de las siguientes figuras: 1) Triángulo de lados 6 cm × 8 cm × 5 cm, con base en 8cm y altura de 3,73 cm. 2) Circunferencia de diámetro 4,5 cm.
Answer:
1) El triángulo tiene un perímetro cuyo valor es 19 cm y un área de 14,92 cm²
2) La circunferencia tiene un perímetro cuyo valor es 14,14 cm y un área de 15,90 cm²
Step-by-step explanation:
El perímetro es una medida de la distancia alrededor de una figura y el área da una idea de qué tanta superficie cubre dicha figura.
Entonces, el perímetro es la medida obtenida como resultado de la suma de los lados de una figura geométrica plana. Es decir, el perímetro es lo que mide el contorno de la figura.
El área de un triángulo es igual a base por altura dividido por 2.
Siendo r el radio de la circunferencia, el perímetro será calculado como:
P=2*π*r
y el área será:
A=π*r²
1) En este caso, el perímetro es calculado como:
P= 6 cm + 8 cm + 5 cm= 19 cm
Y el área del triángulo es calculada como:
\(A=\frac{base*altura}{2} =\frac{8 cm*3.73 cm}{2}\)
A= 14,92 cm²
El triángulo tiene un perímetro cuyo valor es 19 cm y un área de 14,92 cm²
2) Siendo el diámetro un segmento de recta que va desde un punto de la circunferencia a otro y pasa por el centro del círculo y l radio la distancia desde el centro del círculo hasta un punto de la circunferencia, entonces, el radio es la mitad del diámetro.
Siendo el diámetro de la circunferencia 4,5 cm, entonces el radio r tiene un valor de 2,25 cm.
Entonces el perímetro será calculado como:
P=2*π*2,25 cm
P= 14,14 cm
y el área será:
A=π*(2,25 cm)²
A= 15,90 cm²
La circunferencia tiene un perímetro cuyo valor es 14,14 cm y un área de 15,90 cm²
Solve.
4x - 8x = 12 – 7x
Answer:
x = 4
Step-by-step explanation:
4x - 8x = 12 - 7x
4x - 8x + 7x = 12
-4x + 7x = 12
3x = 12
x = 12/3
x = 4
Answer:
Step-by-step explanation:
4x -8x = 12 - 7x
-4x = 12 - 7x
3x = 12
x = 4
A STORY OF RATIOS
A positive, finite decimal s is said to be written in scientific notation if it is expressed as a product d x 10", where d
is a finite decimal so that 1 ≤ d < 10, and n is an integer.
The integer n is called the order of magnitude of the decimal d x 10".
Are the following numbers written in scientific notation? If not, state the reason.
Exercise 1
1.908 x 1017
Exercise 2
0.325 x 10-2
Exercise 3
7.99 x 10³2
EUREKA
MATH
Lesson 9:
Scientific Notation
© 2019 Great Mindeurekamath.org
Exercise 4
4.0701 +10
Exercise 5
18.432 x 5
Lesson 9 Classwork 8.1
Exercise 6
8x 10-¹1
85
Exercise 1: Yes, 1.908 x 10^17 is written in scientific notation.
Exercise 2: Yes, 0.325 x 10^-2 is written in scientific notation.
Exercise 3: No, 7.99 x 10^32 is not written in scientific notation. The decimal d must be between 1 and 10, not between 10 and 100.
Exercise 4: No, 4.0701 + 10 is not written in scientific notation. The correct format is d x 10^n.
Exercise 5: No, 18.432 x 5 is not written in scientific notation. The correct format is d x 10^n.
Exercise 6: No, 8x 10^-11 is not written in scientific notation. The correct format is d x 10^n.
find the orthogonal decomposition of v with respect to w. v = 3 −3 , w = span 1 4
The orthogonal decomposition of `v` with respect to `w` is given by`v = proj_w(v) + v_ortho``v = <-0.5294, -2.1176> + <3.5294, 1.1176>``v = <3, -3>`
Given vectors `v = (3, -3)` and `w = span(1, 4)`.
To find the orthogonal decomposition of v with respect to w, we need to find two vectors - one in the direction of w and another in the direction orthogonal to w. Therefore, let's first find the direction of w.To get the direction of w, we can use any scalar multiple of the vector `w`.
Thus, let's take `w_1 = 1` such that `w = <1, 4>`.Now we need to find the projection of v onto w. The projection of v onto w is given by`(v . w / |w|^2) * w`
Here, `.` represents the dot product of vectors and `|w|^2` is the squared magnitude of w.`|w|^2 = 1^2 + 4^2 = 17` and `v . w = (3)(1) + (-3)(4) = -9`.
Therefore, the projection of v onto w is given by`proj_w(v) = (-9 / 17) * <1, 4> = <-0.5294, -2.1176>`We can check that `proj_w(v)` is in the direction of `w` by computing the dot product of `proj_w(v)` and `w`.`proj_w(v) . w = (-0.5294)(1) + (-2.1176)(4) = -9`.
Thus, the vector `proj_w(v)` is indeed in the direction of `w`.Now, we need to find the vector in the direction orthogonal to w. Let's call this vector `v_ortho`.
Thus,`v_ortho = v - proj_w(v) = <3, -3> - <-0.5294, -2.1176> = <3.5294, 1.1176>`
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The graph shows the depth of water in a bathtub as water drains out. What does the slope of the graph represent
In graphs, The minutes are shown on the x axis. The water depth is shown on the y axis (inches) Therefore, the depth of the water lowers with increasing minutes. Consequently, there is a change in water depth every minute
What is graphs?Mathematicians use graphs to logically convey facts or values using visual representations or charts. A graph point will typically reflect a relationship between two or more things. Nodes, or vertices, and edges make form a graph, a non-linear data structure. Glue together the nodes, often referred to as vertices. This graph has vertices V=1, 2, 3, 5, and edges E=1, 2, 1, 3, 2, 4, and (2.5), (3.5). (4.5). Statistical charts (bar charts, pie charts, line charts, etc.) graphical representations of exponential growth. a logarithmic graph in the shape of a triangle
The graph shows the depth of water in a bathtub as water drains out.
The graph shows that as the value of x increases, the value of y decreases.
The minutes are shown on the x axis.
The water depth is shown on the y axis (inches)
Therefore, the depth of the water lowers with increasing minutes.
Consequently, there is a change in water depth every minute.
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