what is the solution to the equation below? (round your answer to two decimal places.) 6•inx=9.1
ANSWER
B. x = 4.56
EXPLANATION
To solve this equation, first, we have to divide both sides by 6,
[tex]\begin{gathered} \frac{6\cdot\ln x}{6}=\frac{9.1}{6} \\ \\ \ln x=\frac{9.1}{6} \end{gathered}[/tex]Then apply the base exponent rule of logarithms,
[tex]a^{\log_ab}=b[/tex]So, in this case, we have to raise e to each side of the equation,
[tex]\begin{gathered} e^{\ln x}=e^{9.1/6} \\ \\ x\approx4.56 \end{gathered}[/tex]Hence, the solution is x = 4.56, rounded to two decimal places.
what is the density of a cube if the mass is 24g
W=2cm
H=2cm
L=2cm
Find h (-4), h (0), and h (1).
Answer:
The piecewise function is given below as
[tex]h(x)=\begin{cases}\frac{1}{2}x-2,x<-2 \\ (x-1)^2-1.-2\leq x\leq1 \\ 2,x>1\end{cases}[/tex]Step 1:
To figure out h(-4),
The function that satisfies this is given below as
[tex]\begin{gathered} \frac{1}{2}x-2,x<-2 \\ \text{note:} \\ -4<-2 \end{gathered}[/tex]Therefore,
Substitute the value of x=-4
[tex]\begin{gathered} \frac{1}{2}x-2 \\ h(-4)=\frac{1}{2}(-4)-2 \\ h(-4)=-2-2 \\ h(-4)=-4 \end{gathered}[/tex]Hence,
h( -4 ) = -4
Step 2:
To figure out h(0)
The function that satisfies this condition is given below as
[tex]\begin{gathered} (x-1)^2-1.-2\leq x\leq1 \\ \text{note:} \\ 0<1 \end{gathered}[/tex]Hence,
Substitue the value of x = 0
[tex]\begin{gathered} (x-1)^2-1.-2\leq x\leq1 \\ h(0)=(0-1)^2-1 \\ h(0)=(-1)^2-1 \\ h(0)=1-1 \\ h(0)=0 \end{gathered}[/tex]Hence,
The value for h( 0 ) = 0
Step 3:
To figure out h( 1)
The function that satisfies this condition is given below as
[tex](x-1)^2-1.-2\leq x\leq1[/tex]Substitute x= 1 in the equation below
[tex]\begin{gathered} (x-1)^2-1.-2\leq x\leq1 \\ h(1)=(1-1)^2-1 \\ h(1)=0-1 \\ h(1)=-1 \end{gathered}[/tex]Hence,
The value of h(1) = -1
3. For the number line shown, which
statement is NOT true?
The statement which is not true for the given number line is |c| < d.
What is a number line?The visual representation of numbers on a straight line, either horizontally or vertically, is known as a number line. When numbers are written down on a number line, it is straightforward for humans to compare them and perform basic arithmetic operations on them. One might assume that a number line starts at zero (0). There are only negative numbers to the left of zero and only positive numbers to the right of zero. In other words, as we move to the right on a number line, the value of the numbers increases. This shows that the numbers on the right are more numerous than those on the left.
When any value is written within the mod, it is always considered a positive value.
So, accordingly option (B) |c| < d is the correct answer.
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CAN SOMEONE HELP ME PLS
The quotient of the fractions is -5/12
What are expressions?Expressions are mathematical statements that are represented by variables, coefficients and operators
How to evaluate the fraction expression?The fraction expression is given as
-2 1/2 ÷ 6
Express the mixed number -2 1/2 as an improper fraction
So, we have
-2 1/2 ÷ 6 = -5/2 ÷ 6
Express the division as a product expression
So, we have
-2 1/2 ÷ 6 = -5/2 x 1/6
Evaluate the products
So, we have
-2 1/2 ÷ 6 = -5/12
Hence, the value of the expression is -5/12
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-4 3/5÷1 1/5
Answer in simplest form
Answer: -23/6
Step-by-step explanation:
E = {2, 4, 6, 10} is a subset of which of the following sets?Question 3 options:C = {1, 2, 3, 4, 5, 7, 8, 9, 10}B = {2, 4, 6}A = {1, 2, 4, 7, 10, 11, 9, 6}D = {4, 6, 8, 10, 12, ...}
Given:
[tex]E=\lbrace2,4,6,10\rbrace[/tex]Required:
We need to find the set that has the subset E.
Explanation:
Recall that a set A is a subset of another set B if all elements of set A are elements of set B.Consider the set A = {1, 2, 4, 7, 10, 11, 9, 6}.
Element 6 from E is not an element of A.
Set E is not a subset of set A.
B = {2, 4, 6}.
7B
Set E is not a subset of set B
D = {4, 6, 8, 10, 12, ...}
2D
D.
C = {1, 2, 3, 4, 5, 7, 8, 9, 10}
Set C has all the elements of E.
C
Final answer:
What is the product of 4 1/5 * 5 ³/7? 22 4/5 20 3/35 20 31/35 22
which expression would be added to 5x + 7 to make it equivalent to the expression 9(x + 1) (Here are the answer choices.) A. 4x - 6B. 4x + 2 C. 9x + 1 D. 14x + 8
Let the expression we will add be "A", thus we can write:
[tex]5x+7+A=9(x+1)[/tex]We can use the distributive property on the right hand side and then use a bit algebra to solve for "A". The distributive property is shown below:
[tex]a(b+c)=ab+ac[/tex]Let's do the algebra. The steps are shown below:
[tex]\begin{gathered} 5x+7+A=9(x+1) \\ 5x+7+A=9x+9 \\ A=9x+9-5x-7 \\ A=4x+2 \end{gathered}[/tex]Thus, we need to add 4x + 2 to "5x + 7" to make it equal to "9(x+1)".
The correct answer is:
BU = {1,2,3,4,5,6,7,8,9,10} is the universal set, and P = {1,3,5,7,9}. What is P?
The sets of P is a subsets of the universal sets.
How to solve sets?Sets are defined as the collection of objects whose elements are fixed and can not be changed.
In other words, a set is a collection of elements or numbers or objects, represented within the curly brackets { }. For example a collections of alphabets {a, b, c, d, e, f, g, h}
Therefore, universal set (usually denoted by U) is a set which has elements of all the related sets, without any repetition of elements.
Hence,
universal set = ∪ = {1,2,3,4,5,6,7,8,9,10}
Therefore,
P = {1,3,5,7,9}.
P is a subsets of the universal sets.
The subsets is a part of the universal set.
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In a country, the highest temperature ever recorded was 110°f and the lowest temperature was -28°f. Find the difference between the highest and lowest temperatures.
We have the temperature points measured on the Fahrenheit scale.
The highest point is 110°f
The lowest point is -28°f
The difference between the two points would be as follows
[tex]110-(-28)=138[/tex]In conclusion, the difference is 138°f
4x = -3x - 7 need help
Solve the equation for x, solve the operations between similar terms.
[tex]\begin{gathered} 4x=-3x-7 \\ 4x+3x=-7 \\ 7x=-7 \\ x=-\frac{7}{7} \\ x=-1 \end{gathered}[/tex]x has a value of -1.
help pls asap!!Suppose that R and S are points on the number line.
If RS= 8 and S lies at 15, where could R be located?
If there is more than one location, separate them with commas.
Location(s) of R :
Answer:
7, 23
Step-by-step explanation:
R could lie either to the left of S or to the right of S on the number line
Therefore possible values for R are 15-8 = 7
and 15 + 8 = 23
Reflection across y=3
In the picture, There is graph with a triangle SNZ. The reflected triangle of y=3 as (1,2),(5,3) and (5,5).
Given that,
In the picture, There is graph with a triangle.
The triangle is SNZ.
We have to find the reflection across y=3.
We have to draw a line on y=3.
On the line y=3,
Z point is there so it will be same that is (5,3).
Now, the point S is on (5,1)
Here, y is 1 that is 3+2=5
So, we take the reflected S point as (5,5)
Now, the point N is on (1,4)
Here, y is 4 that is 3-1=2
So, we take the reflected N point as (1,2).
Therefore, we get the reflected triangle of y=3 as (1,2),(5,3) and (5,5).
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The reflected triangle of y=3 as (1,2),(5,3) and (5,5)
In the picture, there is graph with a triangle SNZ
We have to find the reflection across y=3
A reflection is a mirror image of the shape. An image will reflect through a line, known as the line of reflection. A figure is said to reflect the other figure, and then every point in a figure is equidistant from each corresponding point in another figure
We have to draw a line on y=3
On the line y=3
Z point is there so it will be same that is (5,3).
The point S is on (5,1)
Here, y is 1 that is 3+2=5
Take the reflected S point as (5,5)
The point N is on (1,4)
Here, y is 4 that is 3-1=2
Take the reflected N point as (1,2)
Therefore, the reflected triangle of y=3 as (1,2),(5,3) and (5,5)
The reflected triangle of y=3 as (1,2),(5,3) and (5,5)
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Let y represent the total cost of publishing a book (in dollars). Let x represent the number of copies of the book printed. Suppose that x and y are related by the equation y = 1100 + 15x.Answer the questions below.What is the change in the total cost for each book printed?What is the cost to get started (before any books are printed)?
y = 1100 + 15x.
Rewriting
y = 15x+1100
This is in slope intercept form
15 is the slope. It is the change for each x
It is the change for each book
The change in total cost for each book is 15 dollars
The y intercept is 1100. It is the cost when x =0. It is the cost when there are no books printed.
It is the cost to get started
The start up cost is 1100 dollars.
Jan made a mixed vegetable soup using tomatoes and carrots. Forty percent of the
tomatoes. If she used a total of 50 tomatoes, how many carrots should she use?
Jan should use 75 carrots for mixed vegetable soup.
Let us assume the total number of tomatoes and carrots be x. So, as per the mentioned information, the equation will be -
40%×x = 50
Converting percentage to fraction
40/100×x = 50
x = 50×100/40
Cancelling zero and performing division
x = 5×25
Performing multiplication
x = 125
Total number of vegetables = number of tomatoes + number of carrots
125 = 50 + Number of carrots
Number of carrots = 125 - 50
Performing subtraction
Number of carrots = 75
Therefore, Jan should use 75 carrots.
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The complete question is -
Jan made a mixed vegetable soup using tomatoes and carrots. Forty percent of the mixed vegetables were tomatoes. If she used a total of 50 tomatoes, how many carrots should she use?
Answer:
Step-by-step explanation:
75 carrots should be used
show all supported calculations. Write an explanation of your conclusion in a complete sentence.
we know that
cost between $25 us and $40 us
Convert 21,130 RP to US
we have
1 RP=0.0147 US
so
Applying proportion
0.0147/1=x/21,130
solve for x
x=21,130*0.0147
x=310.61 US
so
310.61 US is not in the interval [25 US, 40 US]
that means
Is not a mid range hotel3. The area of a triangle, in square units,
can be found by multiplying 0.5 times
the length of the base times the height.
A triangle has a base length of 5 meters
and height of 2.6 meters. What is the
area of the triangle?
Answer:
6.5
Step-by-step explanation:
A=hxb
please show all work
Given:
[tex]f(x)=3\csc (x+6)-4[/tex]To find:
We need to find the same transformation of the given function.
Explanation:
[tex]\text{Let g(x)=3csc(x) be the parent function of the given function.}[/tex]The function g(x) is translated 6 units right and 4 units down to get f(x).
Consdier the function :
[tex]f(x)=3e^{x+6}-4[/tex][tex]\text{ Let g}\mleft(x\mright)=3e^x\text{ be the parent function.}[/tex]:
[tex]f(x)=3(x+6)^2-4[/tex][tex]\text{ Let g}\mleft(x\mright)=3x^2\text{ be the parent function.}[/tex]Final answer:
The following functions have the same transformation as give f(x0.
[tex]f(x)=3e^{x+6}-4[/tex][tex]f(x)=3(x+6)^2-4[/tex]Let U= {1,2,3,4,5,6,7,8,9,10}, A={2,4,6,8} B={1,2,3,4}, C={5,6,9}
The symbol that looks like an inverted U means interception. The interception of B and C is given by al the elements that B and C share. In order to find it we simply need to writte B and C and find the numbers that are part of both:
[tex]\begin{gathered} B=\mleft\lbrace1,2,3,4\mright\rbrace \\ C=\mleft\lbrace5,6,9\mright\rbrace \end{gathered}[/tex]As you can see there is no nuber that belongs simultaneously to both B and C. This means that the intersection between B and C is an empty set and is represented with the following symbol:
[tex]\varnothing[/tex]So D is the correct option.
A gasoline station very near a professional football stadium parks cars on its lot to make money on game days. Last year it charged $4.00 per car and parked 1000 cars. This year it raised the parking price to $5.00 and parked 850 cars. Did the station owner make a good economic decision in raising the parking prices from one year to the next? Explain.
The station owner make a good economic decision in raising the parking prices from one year to the next Ashe made an extra profit of $250.
How to explain the information?From the information, the gasoline station very near a professional football stadium parks cars on its lot to make money on game days. Last year it charged $4.00 per car and parked 1000 cars. The amount made last year will be:
= Amount charged × Number of cars
= $4 × 10000
= $4000
This year it raised the parking price to $5.00 and parked 850 cars. The amount made will be:
= $5 × 850
= $4250
Therefore, the profit made will be:
= $4250 - $4000
= $250
He made a good decision.
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Do anybody know his question?
The table shows the relationship between the participants walking and running for the week's cross-country practices.
Walk (laps) 3 B 15
Run (laps) 5 10 D
Total (laps) A C 40
At this rate, how many laps will the participants walk if the total distance is 32 miles? How many miles will they run?
They will walk 7 laps and run 17 laps for a total of 32 miles.
They will walk 12 laps and run 20 laps for a total of 32 miles.
They will walk 14 laps and run 18 laps for a total of 32 miles.
They will walk 10 laps and run 22 laps for a total of 32 miles.
Question 3(Multiple Choice Worth 2 points)
(Three-Column Tables LC)
PART 2
The data below shows the ratio of brown to green crayons in four kindergarten classrooms.
12 to 20
10 to 25
14 to 35
30 to 75
Which table below correctly shows these ratios in a three-column table?
Brown 20 25 35 75
Green 12 10 14 30
Total 32 35 49 105
Brown 12 10 14 75
Green 20 25 35 30
Total 30 35 44 105
Brown 12 10 14 30
Green 20 25 35 75
Total 32 35 49 105
Brown 12 25 14 30
Green 20 10 35 75
Total 42 35 49 100
Using proportional relationships, it is discovered that they will cover 32 miles overall by walking 12 laps and running 20 laps.
For the second issue, the appropriate response is:
Brown 12 10 14 30
Green 20 25 35 75
Total 32 35 49 105
What is a direct proportional relationship?
In a direct proportional connection, the output variable is determined by multiplying the input variable by the proportionality constant, k, as in the example below:
y = kx.
For the first question, we have that out of a total distance of 8 miles, they:
Walk 3/8 of the distance.
Run 5/8 of the distance.
Hence the proportional relationships for the distances are given as follows:
Walked = 3/8 x Total Distance.
Ran = 5/8 x Total Distance.
For a total distance of 32 miles, the distances walked and ran are given as follows:
Walked: 3/8 x 32 = 3 x 4 = 12 miles = 12 laps.
Ran: 5/8 x 32 = 5 x 4 = 20 miles = 20 laps.
For the second question, we have that the table has to following the given ratios of the first row to the second row, with the third row being the sum of the first two rows, hence the third table is correct.
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Write the following expression using the fewest possible terms.
the expression quantity three fourths times t minus 5 plus two fifths times t end quantity minus quantity five eighths times t plus 17 end quantity
negative 71 over 40 times t plus negative 12
71 over 40 times t plus negative 22
21 over 40 times t plus negative 12
21 over 40 times t plus negative 22
The computation of the expression using the fewest possible terms is D. 21 over 40 times t plus positive 22
How to calculate the expression?It should be noted that on Mathematics, an expression is used to show the relationship between the variables that are given or illustrated.
In this case, the expression given is illustrated as three fourths times t minus 5 plus two fifths times t end quantity minus quantity five eighths times t plus 17 end quantity.
This will be:
= (3/4t - 5 + 2/5t) - (5/8t + 17)
= (15/20t + 8/20t - 5) - (5/8t + 17)
= 23/20t - 5 - 5/8t + 17
= 46/40t - 5 - 25/70t + 17
= 21/40t + 12
Therefore, the correct option is D.
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Write the linear equation that gives the rule for this table.
x y
3 13
4 14
5 15
6 16
Your mom has you go to the store to buy oranges and apples. Oranges cost $0.50 each, and apples cost $1.00. Your mom gives you $10. Write an equation that represents the number of oranges and apples you can buy with the money you have.
Let x represent the number of oranges you will buy.
Let y represent the number of apples you will buy.
cual es el valor absoluto de -x+2
The absolute value of -x+2 is 2-|x-2|.
What is the Absolute Value ?
The non-negative value of a real number x without regard to its sign is known as its absolute value or modulus in mathematics and is indicated by the symbol |x|.
Since the absolute value is isolated, we set it equal to the positive and negative of the constant
Therefore,
|(-x+2)| =
for x < 2, -(-x + 2)
for x ≥ 2, (x + 2)
Hence, This is so that no matter the value of x, the value of the function is always greater or equal to 0.
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(7x)°
(X/2)
Find the value of the variables
Answer:
X/2 = 12
7X = 168
Step-by-step explanation:
180 = X/2 + 7X
180 = 7.5 X
X = 24
HELP PLEASE!!
Amy will run more than 33 miles this week. So far, she has run 21 miles. What are the possible numbers of additional miles she will run? Use t for the number of additional miles she will run. Write your answer as an inequality solved for t.
Answer:
21 + t > 33
t > 12
Hope this helps!
Step-by-step explanation:
Which describes the pedestrian crossing sign shown?
The sign is a trapezoid because exactly one pair of opposite sides is parallel.
The sign is a parallelogram because both pairs of opposite sides are parallel.
The sign is a kite because both pairs of opposite sides are congruent.
The sign is a parallelogram because at least one pair of opposite sides is parallel
The sign is a parallelogram because both the pairs of the opposite sides are parallel.
A parallelogram is a quadrilateral with two sets of parallel sides. A parallelogram has opposing sides that are the same length and angles that are the same size. the internal angles on the same side that are in addition to the transversal. The sum of all interior angles is 360 degrees.
Characteristics of a parallelogram:
The contrasting sides are parallel and congruent.Angles that diverge line up.The following angles act as a fallback.If any one of the angles is a right angle, then all the angles will be at right angles.Split in half are the two diagonals.Each diagonal divides the parallelogram into two equal and congruent triangles.A parallelogram's diagonals are equal to the sum of its squares.To learn more about parallelogram visit :
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Answer:
B
Step-by-step explanation:
In the diagram below, <2 = 92o. Determine the measure of all the angles.
**Type in just the numerical answer: Example: 25o you would type just 25
[tex]\angle 1=88^{\circ}[/tex] (linear pair)
[tex]\angle 3=92^{\circ}[/tex] (vertical angles)
[tex]\angle 4=88^{\circ}[/tex] (linear pair)
[tex]\angle 5=88^{\circ}[/tex] (corresponding angles)
[tex]\angle 6=92^{\circ}[/tex] (corresponding angles)
[tex]\angle 7=92^{\circ}[/tex] (linear pair)
[tex]\angle 8=88^{\circ}[/tex] (linear pair)