Answers
The expression which is equivalent to the given expression as in the task content is; 4.5⁶.
Which expression is equipped to the expression given in the task content?It follows from the task content that the expression which is equivalent to the given expression is to be determined.
Since the given expression is;
(4.5)-⁵ • (4.5)¹¹
Hence, it follows from the product of exponents law of indices that we have;
(4.5)^(-5 + 11)
= (4.5)⁶
Therefore, the expression which is equivalent is; 4.5⁶.
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Related Questions
The parking garage at the airport has 500 parking spaces. 36% of the spaces are empty. How many empty spaces are there in the parking garage?
Answers
Select the correct answer.Solomon is planning to recover a lampshade. How much fabric does he need?12 cm16 cm12 cmA. 912 cm²B. 2,304 cm²C. 768 cm²D. 1;056 cm²
Answers
Answer:
C - 768cm for Plato
Step-by-step explanation:
a club has 25 members. how many ways are there to choose four members of the club to serve on an executive committee?
Answers
There are 303600 ways to choose 4 members of the club to serve on an executive committee.
What is permutation and combination ?A permutation is the act of putting things or numbers in a certain order. Combinations are a method of picking things or numbers from a set of objects or collections without regard for their order.
CalculationNo. of members = 25
We are supposed to find the no. of ways to choose a president, vice-president, secretary, and treasurer of the club
No. of posts = 4
The order matters here since each member will get different posts .
So, we will use permutation over here
formula - n P r = n! / (n-r)!
n = 25
r = 4
using calculator
25 P 4 = 303600
Hence there are 303600 ways to choose 4 members of the club to serve on an executive committee.
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262, 257, 252, ...
Find the 37th term.
Answers
Answer:
a₃₇ = 82
Step-by-step explanation:
there is a common difference between consecutive terms , that is
257 - 262 = 252 - 257 = - 5
this indicates the sequence is arithmetic with nth term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference ,
here a₁ = 262 and d = - 5 , then
a₃₇ = 262 + (36 × - 5) = 262 - 180 = 82
Bryers ice cream costs $2 per gallon . Turkey Hill ice cream costs $ 3 per gallon .Tanya bought a total of 10 gallons of ice cream for a party and spent a total of $25 set up a system of equations to find out how much of each brand of ice cream Tanya bought. Do not solve the system
Answers
Let's define the following variables.
x = the number of gallons of Bryers ice cream Tanya bought
y = the number of gallons of Turkish Hill ice cream Tanya bought
2x = total cost for the Bryers ice cream
3y = total cost for the Turkish Hill ice cream
Since Tanya bought a total of 10 gallons of ice cream for the party, then we can say that:
[tex]x+y=10[/tex]In addition, if the total cost that Tanya spent is $25, then we can say that:
[tex]2x+3y=25[/tex]The equations that we can get from the given problem are x + y = 10 and 2x + 3y = 25.
It takes Neil and Spencer the same amount of time to ride their bikes to school each day, though Neil lives farther away. This Saturday, they plan to study together at the library, which is the same distance from both of their houses. If their average speeds are consistent, who will get to the library in less time?
Answers
The length of a rectangle
is two times the width of the rectangle.
The perimeter of the rectangle is 24 cm.
Draw the rectangle on the centimetre grid.
Answers
The diagram of the rectangle is attached where the length and the width are is 8cm and 4 cm
How to draw the rectangle?From the question, we have the following parameters that can be used in our computation:
The length of a rectangle is two times the width of the rectangle.The perimeter of the rectangle is 24 cm.The above parameters imply that
L = 2W
P = 2(L + W)
Where L represents the Length and W represents the width
The perimeter is given as 24
So, we have
2(L + W) = 24
So, we have
L + W = 12
Substitute L = 2W in L + W = 12
2W + W = 12
Evaluate
3W = 12
Divide by 3
W = 4
Substitute W = 4 in L = 2W
L = 2 * 4
Evaluate
L = 8
This means that the length of the rectangle is 8 cm and the width of the rectangle is 4 cm
See attachment for the rectangle
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Find the Simple Interest Rate
on a 3-month loan of $5000 if the maturity value of the
loan is $5125.
Answers
keeping in mind that a year has 12 months, thus 3 months will just be 3/12 of a year, so
[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$5125\\ P=\textit{original amount deposited}\dotfill & \$5000\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\to \frac{3}{12}\dotfill &\frac{1}{4} \end{cases} \\\\\\ 5125=5000[1+(\frac{r}{100})(\frac{1}{4})] \implies \cfrac{5125}{5000}=1+\cfrac{r}{400}\implies \cfrac{41}{40}=\cfrac{400+r}{400} \\\\\\ 410=400+r\implies \boxed{10=r}[/tex]
Graph the equation.
y=4x^2+8x+7y=4x
2
+8x+7
Answers
The graph of the equation y = 4x² + 8x + 7 will be shown in figure.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The equation is,
⇒ y = 4x² + 8x + 7
Now,
The graph of the equation y = 4x² + 8x + 7 will be shown in figure.
Since, One solution of the equation y = 4x² + 8x + 7 is (0, 7).
So, The graph of the function y = 4x² + 8x + 7 cut at the point (0 , 7).
Therefore,
The graph of the equation y = 4x² + 8x + 7 will be shown in figure.
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What are the missing angles
Answers
The missing angles are:
m∠1 = 62°
m∠2 = 48°
m∠3 = 86°
m∠4 = 46°
We know that vertical angles are always equal i.e.they are congruent angles.
So, m∠2 = 48°
Now, By Triangle Sum Theorem, the total of three interior angles of any triangle add up to 180°.
m∠1 + m∠2 + 70° = 180°
m∠1 + 48° + 70° = 180°
m∠1 = 180° - 118° = 62°
As m∠3 and 94° lie on a straight line, their sum would be 180°.
m∠3 = 180° - 94° = 86°
Again by Triangle Sum Theorem,
m∠3 + m∠4 + 48° = 180°
86° + m∠4 + 48° = 180°
m∠4 = 180° - 134°
m∠4 = 46°
Therefore, the missing angles are m∠1 = 62°, m∠2 = 48°, m∠3 = 86° and m∠4 = 46°.
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Which function is the inverse of f(x) = 2x + 323ƒ^²^²(x) = -1/1/2ƒ^²(x) = 1/2 x - 1²/20Of¹(x) = -2x + 3Of(x)=2x+3
Answers
Given: A function F(x)=2x+3 is given.
Find: inverse of a function.
Explanation:
[tex]\begin{gathered} f(x)=2x+3 \\ y=2x+3 \\ x=2y+3 \\ y=\frac{x-3}{2} \\ f^{-1}(x)=\frac{x}{2}-\frac{3}{2} \end{gathered}[/tex]Final answer: the required inverse of f(x) is
[tex]\frac{x}{2}-\frac{3}{2}[/tex]How many ounces of a 4% acid solution and how many ounces of a 10% acid solution must be mixed to make 24oz of a 6% acid solution
Answers
a = acid solution 4%
b = acid solution 10%
a + b = 24
0.04*a+0.1*b=0.06*24
a=24-b
0.04*(24-b) + 0.1*b = 1.44
0.96 - 0.04b + 0.1*b = 1.44
0.06*b = 0.48
b = 8 oz
a=24-b
a = 24 - 8
The temperature Monday morning was -12 degrees.by afternoon,the temperature had risen a few degrees.which of the following could be the temperature?
Answers
The temperature Monday morning was -12 degrees and by afternoon, the temperature had risen a few degrees, which means the some temperature has been added, so c. -10 degree Celsius is the right option.
What is temperature?Temperature is a measure of hotness or coldness expressed in terms of any number of arbitrary scales. It shows the direction in which heat energy will spontaneously flow, i.e., from a hotter body (one with a higher temperature) to a colder body (one at a lower temperature).
A burning match is much hotter than an iceberg, but an iceberg has much more total heat energy than a match does. Temperature is not the same as the energy of a thermodynamic system.
Similar to pressure or density, temperature is referred to as an intensive property—one that is independent of the quantity of matter being considered—as opposed to extensive properties, like mass or volume.
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Full question
The temperature Monday morning was -12 degrees.by afternoon,the temperature had risen a few degrees.which of the following could be the temperature?
a. -15 degrees
b. -12 degree
c. -10 degree
d. -14 degree
Russell has been training for the Emerald Valley Race. The first week he trained, he ran 5 days and took the same two routes each day. He ran 2 miles around the football field before school and ran a longer route through his neighborhood after school. By the end of the week, Russell had run a total of 30 miles.
Which equation can Russell use to find how many miles, x, he ran each day after school?
How many miles did Russell run each day after school?
Answers
The equation to find the number of miles Russel ran after school is
5 (2 + M) = 30
The number of miles Russel ran after school is 4 miles.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
We have,
Number of days ran = 5
Number of miles ran before school = 2 miles
Number of miles ran after school = M miles
Total miles ran at the end of the week = 30 miles
Now,
The equation to find the number of miles Russel ran after school.
5 (2 + M) = 30
The number of miles Russel ran after school.
5 (2 + M) = 30
2 + M = 30/5
2 + M = 6
M = 6 - 2
M = 4
Thus,
The equation to find the number of miles Russel ran after school is
5 (2 + M) = 30
The number of miles Russel ran after school is 4 miles.
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Lanie has 33 total games downloaded on her phone and her laptop. Her laptop has 7 less than 3 times the number of games that are on her phone. How many games does Lanie have on her phone?
Enter your answer in the box.
games
Answers
The number of games in her phone is 10
What is an algebraic expression?An algebraic expression can simply be defined as an expression that is composed of terms, factors, some variables, coefficients and then constants.
They are also known to consist of some mathematical operations, which may include;
AdditionMultiplicationDivisionParenthesesBracketSubtraction, etcBased on the information given, we have;
Let the number of games in her phone be s
s + 3s - 7 = 33
collect like terms
4s = 40
Make 's' the subject
s = 40/4
s = 10 games
Hence. the number is 10
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Insert a graph of the line with slope 3/4 through the point (-7,-5).
Answers
The function of the graph with slope 3/4 and passing through point ( - 7, - 5) is 4y = 3x + 1.
We have, the slope of the graph as m = 3/4, and the graph passes through the point ( - 7, - 5 ).
The equation of the slope-intercept form of a line is given as:
y = mx + b where m is the slope and b is the y-intercept.
When the graph passes through ( - 7. - 5).
y = mx + b
- 5 = ( 3/4 ) × ( - 7 ) + b
- 5 = - 21/4 + b
Adding 21/4 on each side of the equation,
- 21/4 + b + 21/4 = - 5 + 21/4
b = ( - 20 + 21 )/4
b = 1/4
Therefore, the equation of the line is:
y = ( 3/4 )x + 1/4
Multiplying each side of the equation by 4,
4y = 3x + 1
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sophia, daphne, and charlie are all participating in a relay race to raise money for charity. first, sophia will run 2 miles. then, daphne will run 5 miles. finally, charlie will end the race by running 3 miles. what fraction of the race will daphne run?
Answers
The race will Daphne run by ratio 1/2.
What is relay race?
In a relay race, team members alternately complete different sections of the racecourse or carry out certain tasks. Both professional and amateur competitions are held in relay races. Running, orienteering, swimming, cross-country skiing, biathlon, and ice skating all frequently feature relay competitions.
As given Sophia, Daphne, and Charlie are all participating in a relay race to raise money for charity. First, Sophia will run 2 miles. then, Daphne will run 5 miles. finally, Charlie will end the race by running 3 miles.
The total distance of the race is, 2 + 5 + 3 = 10 miles.
So, Daphne will run the race by the ratio, [tex]\frac{5}{10} = \frac{1}{2}[/tex]
Therefore, the race will Daphne run by ratio 1/2.
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What is the magnitude (size) of -9.1
A.-9.1 because |-9.1| =9.1
B. 9.1 because |-9.1| = 9.1
C.9.1 because |-9.1|= -9.1
D.0.91 because |-9.1|=0.91
Answers
B. 9.1 because |-9.1| = 9.1
Magnitude of -9.1 is 9.1
Magnitude of a number
A magnitude is the measurement or absolute value of a quantity. A magnitude is represented by a positive real number. Put simply, a magnitude is the size of some quantity. For example, the magnitude of an earthquake, measured on the Richter scale, usually varies between 1 and 10 and represents the size of the earthquake. An earthquake with a magnitude of 8 is much more trouble than an earthquake with a magnitude of 3.
The magnitude of a negative number, say -6? It is (positive) 6. Magnitudes cannot be negative. Consider the idea of a magnitude as a measure of size: there doesn't seem to be a coherent idea of negative size. To make sense of this is to understand that -6 is greater in magnitude than -5 even though -6 is a lower number. For negative numbers the order of magnitude is reversed, just as one counts in the opposite direction on the number line for negative numbers.
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Hey, please help me graph them nowww please help
Answers
Reason
If a figure is translated by a vector , then
x,y ➡️ x + a, y + b
The translations and graph is attached
Total consumption of fruit juice in a particular country in 2006 was about 1.82 billion gallons. The population of that country in 2006 was 300 million. What was the average number of gallons of fruit juice consumed per person in the country in 2006? Use pencil and paper. Using the per person amount from this problem, about how many gallons would your class consume?
Answers
Total consumption of fruit juice in a particular country in 2006 was about 1.82 billion gallons. The population of that country in 2006 was 300 million. What was the average number of gallons of fruit juice consumed per person in the country in 2006? Use pencil and paper. Using the per person amount from this problem, about how many gallons would your class consume?
esitmate the value of y when x=2.5
Answers
Find the total surface area of this cuboid.
5 cm
4 cm
6 cm
Answers
Answer:
148cm^2
Hope this helps :))
Which is an equation in point-slope form of the line that passes through the points (4, 5) and (−3, −1) ?
Responses
y−1=67(x−3)
y minus 1 equals fraction 6 over 7 end fraction left parenthesis x minus 3 right parenthesis
y+1=65(x+3)
y plus 1 equals fraction 6 over 5 end fraction left parenthesis x plus 3 right parenthesis
y+3=76(x+1)
y plus 3 equals fraction 7 over 6 end fraction left parenthesis x plus 1 right parenthesis
y+1=67(x+3)
Answers
Answer:
B, second response
Step-by-step explanation:
Answer:
The slope of a function is the process of finding the rate of change of the value y (dependent variable) of the function changes with respect to that of the variable x (independent variable). The slope itself describes the direction and steepness of the line.
the slope (m) is (5 - -1) / 4 --3 = 6/7
Putting in the equation:
y - y1 = (6/7)(x - x1)
putting, y1= -1, x1= -3
y - -1 = (6/7)( x - -3)
y + 1 = 6/7(x + 3)
Answer is the letter B
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Answer: B
K12 fr fr fr
Ben Armstrong earns $13.57 an hour plus time and a half for weekend work. Last week he worked his
regular 40 hours plus 8 hours on Saturday. What was his total pay for the week?
Answers
Ben Armstrong's total pay for working regular 40 hours plus 8 hours on Saturday is $705.64.
How is the total pay determined?The total pay is the sum of the total pay at the normal pay rate in addition to the total overtime pay at the overtime rate.
The overtime pay rate is usually a time and a half of the normal pay rate.
The normal hourly pay rate = $13.57
The overtime pay rate = 1¹/₂ of $13.57 = $20.355
The total earnings from normal working hours = $542.80 (40 x $13.57).
The total earnings from overtime hours = $162.84 (8 x $20.355).
Ben's total pay for the week = $705.64 ($542.80 + $162.84).
Thus, for the week, Ben's total pay is $705.64.
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complete the statement for the graph of the domain of the function is
Answers
The domain of a function is all the values of x that is satisfied by the function.
• The domain of the function is, {x|x is all real numbers}
The range of a function is the set of all values of y that satisfies the function.
• The range of the function is ,{y | y is greater than zero}
• The graph is ,increasing, over the interval (0, ∞)
,• The graph is ,decreasing, over the interval (-∞, 0)
The weight of an object on a scale is 165.3 lbs. The measured weight may
vary from the actual weight by at most 0.6 lbs. What is the range of actual
weights of the object?
A. 164.7 ≤ x≤ 165.9
OB. 164.72x2 165.9
C. 164.72 x≤ 165.9
D. x≤ 164.7 or x2 165.9
Answers
Identify the additive and multiplicative inverse of −17.
Answers
Answer:
Additive inverse of -17 is 17.
Multiplicative inverse of -17 is -1/17.
7. Which point is closest to -12 on the number line?
A. -47/4
B. -39/3
C. 23/-2
D.-39/-3
Answers
Answer:A
Step-by-step explanation:
Answer:
The answer to this is
Step-by-step explanation:
A, I just got done with the test if not then D.
What ms the answer plss
Answers
Write the statement "the sum of a number and 12.6 is more than −3.5" as an inequality.
−3.5 + b ≥ 12.6
−3.5 + b < 12.6
b + 12.6 > −3.5
b + 12.6 ≤ −3.5
Answers
The inequality for the expression about the sum will be C. b + 12.6 > -3.5.
What is an inequality?It should be noted that an inequality shows the relation between two expressions which we got equal.
In this case, let the number be given as b. Note that sum means addition. In this case, you will add b and 12.6.
Now, it was also stated that the addition is more than -3.5. This means it's greater than and the sign is >.
Therefore, the inequality will be:
= b + 12.6 > -3.5
Note that > means greater than.
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