Suppose log5=b , then what is the exact value of log5^4?
Answer:
4b
Step-by-step explanation:
log(5) = b actually means that
[tex]10^b = 5[/tex]
The power of 10 is b.
So log(5⁴) means that
[tex](10^b)^4 = 5^4[/tex]
so the power of 10 is 4b.
Question 1 (10 points)
(04.02 MC)
A proportional relationship between the number of pounds of kiwis (x) and the price in dollars (y) can be graphed, and the ordered pair (3, 2) would be on the graphed line.
Part A: What is the price of 1 pound of kiwis? Show your work. (8 points)
Part B: What does the ordered pair (6, 4) which is the line in the graph represent? Explain in words. (2 points)
Your answer:
Answer:
[tex]1\ pound = \$ \frac{2}{3}[/tex]
6 pounds of kiwis cost $4
Step-by-step explanation:
Given
[tex]x = pound\ of\ kiwis[/tex]
[tex]y = price\ in\ dollars[/tex]
[tex](x,y) = (3,2)[/tex]
Solving (a): Price of 1 pound kiwi
The given parameters can be translated to be:
3 pounds costs $2
i.e.
[tex]3\ pounds = \$2[/tex]
To get the cost of 1 pound, we divide both sides by 3
[tex]\frac{3\ pounds}{3} = \frac{\$2}{3}[/tex]
[tex]1\ pound = \frac{\$2}{3}[/tex]
[tex]1\ pound = \$ \frac{2}{3}[/tex]
Solving (b): What does (6,4) represent
This can be rewritten as:
[tex](x,y) = (6,4)[/tex]
Recall that the representation is:
[tex]x = pound\ of\ kiwis[/tex]
[tex]y = price\ in\ dollars[/tex]
By comparison:
[tex]x = 6\\ y = 4\\[/tex]
So, the above can be translated to mean.
6 pounds of kiwis cost $4
Answer:
6 pounds of kiwis cost $4
Step-by-step explanation:
The elevator in a new building traveos a maximum distance of 32 meters. Find the eatimated distance traveled with yards
The estimated distance which is the yard measurement equivalent of the maximum distance 32 meters travelled is; 35.008 yards.
What is the yard measure equivalent of the 32 meters distance travelled by the elevator?It follows from the task content that the maximum distance given,; 32 meters be expressed in terms of its yard measure equivalent.
On this note, since 1 meter is equivalent to; 1.094 yards. It follows from proportion that 32 meters is equivalent to;
= 32 × 1.094 yards
= 32.008 yards.
Ultimately, the estimated distance which is the yard measurement equivalent of the maximum distance 32 meters travelled is; 32.008 yards.
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Xandra’s average is 94.61 which is rounded to 95, the rounded number can be classified as the numbers below except what number? *
1 point
imaginary number
rational number
whole number
natural number
Which number have a subset of zero and natural numbers? *
1 point
imaginary numbers
real numbers
whole numbers
counting numbers
Which is always true from the statements below? *
1 point
Real numbers are rational numbers.
Natural numbers are real numbers.
Irrational numbers are integers.
Decimals are rational number.
*
1 point
Captionless Image
Rey
RM
John
Jeson
What subset of real numbers contains non-repeating, non-terminating decimals? *
1 point
rational numbers
whole numbers
irrational numbers
imaginary numbers
Which values are in ascending order? *
1 point
Captionless Image
D
A
B
C
Which has the smallest value from the choices below? *
1 point
Captionless Image
D
C
B
A
Which can be classified as irrational number? *
Captionless Image
D
C
B
A
What kind of number does have elements ... , −3, −2, −1, 0, 1, 2, 3, ... ? *
1 point
whole numbers
irrational numbers
natural numbers
integers
Which is arranged in descending order? *
1 point
Captionless Image
D
C
B
A
Answer:
I believe the answer is a imaginary number... I only know the fist one I'm sorry..
Step-by-step explanation:
I think this because a rational number is a number that is real. A Whole number is one without decimals. A natural number is something that is also real. I really hope this is helpful.
many years ago, some doctors administered medication to patients themselves, as opposed to using a pharmacist. One curious yet unethical doctor decided to start giving all of his patients sugar pills in place actual medication, to his surprise, many of his patients actually had their symptoms vanish despite not getting the actual medication. explain how this might happen.
Answer:
They are now dead
Step-by-step explanation:
Jake Paul
Stephen's lunch bill is currently at $843. Stephen orders a fruit salad for take out and wants to leave
$2.25 as a tip for his server. He has a $10 bill and a $5 bill. How much change should he receive after
paying for his lunch, the fruit salad, and the tip?
Answer:
1.63
Step-by-step explanation:
0.586 redondeado a la centesima mas cerca
It should be noted that rounding off 0.586 to the nearest hundredth will be 0.59.
How to illustrate the information?It should be noted that rounding to the nearest hundredth simply means the rounding of any decimal number to its nearest hundredth value.
Fyr example, it should be noted that in the decimal, hundredth means 1/100 or 0.01. For example, the rounding of 3.267 to its nearest hundredth is 3.23.
It should be noted that in this case, it should be noted that rounding off 0.586 to the nearest hundredth will be 0.59.
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Use the equation of the line to predict how many worm
Alex needs to feed Edbird in order for him to go the enti
day without correcting her. Input your answer to the
nearest whole worm. Then click done.
Plz answer ASAP!!!!!!
Answer:
33
Step-by-step explanation:
I just did it
Answer: 33
Step-by-step explanation: I got it correct on i-Ready.
If n is a positive integer divisible by 3 and n is less than or = 44, then what is the highest possible value of n?
Answer:
o dont know
Step-by-step explanation:
find the slope and y-intercept for a line passing through the following two points,then create a slope intercept equation (-2,2) and (-5,-4)
Answer:
Slope: 2
y intercept: 6
Equation: y = 2x+6
2x {3x [40 - (I0 x 2)]} = ?
the answer its 120 hope helps you
Supongase que se sabe que en ciertas poblacion el 10%de sus habitantes padece de daltonismo. Si de esta poblacion se extrae una muestra aleatoria al azar de 20 personas.
The mean variable is 2 if a random sample of 20 people is drawn from this population from which 10% of its inhabitants suffer from colour blindness.
In Spanish:-La variable media es 2 si se extrae una muestra aleatoria de 20 personas de esta población de la que el 10% de sus habitantes sufre daltonismo.
Percentage of blind people or p = 10% or 0.10 (English)
porcentaje de personas ciegas o p = 10% o 0.10 (Spanish)
No. of random samples of people taken or n = 20 (English)
No. de muestras aleatorias de personas tomadas o n = 20 (Spanish)
Now, Mean is given by n(p). so, (English)
Mean = n(p)
= 20(0.10)
= 2Ahora, la media viene dada por n(p). asi que, (Spanish)
la media = n(p)
= 20(0.10)
= 2
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Full and translated question
Suppose it is known that in a certain population 10% of its inhabitants suffer from colour blindness. If a random sample of 20 people is drawn from this population. the mean of the variable isa. 0.475b. 0.5c. 0.25d. 2
During the women's basketball championship game, team A scored 2 more points than team B. Together, both teams scored a total of 148 points. How many points did the Champion team A score during this game?
Is this a function?
Pam is asked to construct a table with each employee's salary in dollars
and individual income tax in dollars as variables.
Are the given ratios equivalent Explan why or why not 3 : 5 12 : 20
Blake was competing in a cooking competition and needed to add 3/4 cup of flour to a recipe. The only measuring cup he could find was 1/8 of a cup. Black would need to fill the measuring cup times
Scientists are drilling a hole in the ocean floor to learn more about the Earth's history. Currently, the hole is in the shape of a cylinder whose volume is approximately 3800
cubic feet and whose height is 2.8 miles. Find the radius of the hole to the nearest hundredth of a foot. (Hint: Make sure the same units of measurement are used.)
[tex]v=\pi r^2h[/tex]
[tex]\\3800ft^3=\pi r^2*(2.8miles), 1mile=5280ft[/tex]
[tex]3800ft^3=\pi r^214784ft\\r^2=3800ft^3/3.14*14784ft\\r^2=3800ft^3/46421.76ft\\r=\sqrt{3800/46421.76} ft\\r=0.286108656ft[/tex]
Use laws of logical equivalence (not truth tables) to prove that the following sentences
are logically equivalent.
(A & ~B) V (A & ~C)
~~A &~ (B & C)
Answer:
See below
Step-by-step explanation:
Refer to the attachment.
Given:
(A ∧∼B) ∨ (A ∧ ∼C)
Solving steps:
≡A∧(∼B∨∼C). . . . . Distributive Law
≡A∧∼(B∧C). . . . . . De Morgan's Law
≡∼(∼A)∧∼(B∧C). . . . . . Double Negation Law
Hence,
(A ∧∼B) ∨ (A ∧ ∼C)≡∼(∼A)∧∼(B∧C) [Proven]
What does the variable represent in your equation?
Answer:
A variable is a quantity that may change within the context of a mathematical problem or experiment.
Given that the weights of bags of potato chips are normally distributed with an average weight of 16 ounces and a standard deviation of 0.4 ounces, find the following probability.
That a randomly selected bag weighs between 15.6 ounces and 16.4 ounces
That a randomly selected bag weighs between 15.2 ounces and 16.8 ounces.
That a randomly selected bag weighs less than 14.8 ounces.
probability of a randomly selected bag weighing between 15.6 ounces and 16.4 ounces is 0.68269.
probability of a randomly selected bag weighing between 15.2 ounces and 16.8 ounces is 0.9545.
probability of a randomly selected bag weighing less than 14.8 ounces is 0.0013499.
What is Z-Sore?The relationship between a value and a set of values' mean is described by the statistical measurement known as the Z-score. Standard deviations from the mean serve as a unit of measurement for the Z-score. A Z-score of zero means the data point's score is the same as the mean score.
Given, Given that the weights of bags of potato chips are normally distributed with an average weight of 16 ounces and a standard deviation of 0.4 ounces. thus,
μ = 16
σ = 0.4
for randomly selected bags weighing between 15.6 ounces and 16.4 ounces
x₁ = 15.6
x₂ = 16.4
Z score = ( x - μ)/σ
z₁ = (15.6 - 16) / 0.4
z₁ = -1
z₂ = (16.4 - 16)/ 0.4
z₂ = 1
From the table of normal distribution (z²)
the probability of getting the value between -1 to 1 is = 0.68269
for randomly selected bags weighing between 15.2 ounces and 16.8 ounces
x₁ = 15.2
x₂ = 16.8
Z score = ( x - μ)/σ
z₁ = (15.2 - 16) / 0.4
z₁ = -2
z₂ = (16.8 - 16)/ 0.4
z₂ = 2
From the table of normal distribution (z²)
the probability of getting the value between -2 to 2 is = 0.9545
for randomly selected bags weighing less than 14.8 ounces.
x = 14.8
Z score = ( x - μ)/σ
z = (14.8 - 16) / 0.4
z = -3
From the table of normal distribution (z²)
the probability of getting a value less than 14.8 = 0.0013499
Therefore, The probability that a randomly chosen bag will weigh between 15.6 and 16.4 ounces is 0.68269. The probability that a randomly chosen bag will weigh between 15.2 and 16.8 ounces is 0.9545. The probability that a randomly chosen bag will weigh less than 14.8 ounces is 0.0013499.
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If f(x)=2x and g(x)=x−3, then find f(x)·g(x).
Question 19 options:
2x2−6x
2x2−6
2x2−3
3x−3
Answer:
2x^2 - 6x
Step-by-step explanation:
2x(x-3)
= 2x^2 - 6x
Plz help me with this???
Answer:
2/3+1/5=10/15+3/15=13/15
Step-by-step explanation:
Hope this helps!
The ratio 4/7 : 8/21 has a unit rate of 3/2. True or false?
The statement 'The ratio 4/7 : 8/21 has a unit rate of 3/2.' is True.
In this question, we have been given a statement 'The ratio 4/7 : 8/21 has a unit rate of 3/2.'
We need to check whether the statement is True or False.
We have been given the ratio of two fractions.
4/7 : 8/21
We know that for any non zero real numbers a, b, c, d,
a/b : c/d = a/b × d/c
So, we can write given ratio as,
4/7 : 8/21
= 4/7 × 21/8
= 3/2
In the given statement, it is mentioned that, the ratio 4/7 : 8/21 has a unit rate of 3/2.
This means, the given statement is correct.
Therefore, the statement 'The ratio 4/7 : 8/21 has a unit rate of 3/2.' is True.
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PLEASE ANSWER PLS
HELPP
Find the difference
$9.36 - $1.12
A baker has 134 cup of sprinkles to spread on cupcakes. Each cupcake needs 18 cup of sprinkles. How many cupcakes can the baker sprinkle?
Answer:
[tex]Cupcakes = 7[/tex]
Step-by-step explanation:
Given
[tex]Total\ Sprinkles = 134[/tex]
[tex]Sprinkle\ per\ cupcake = 18[/tex]
Required
Determine the number of cupcakes
To do this, we simply divide the total cups of sprinkle by the sprinkles per cupcake
[tex]Cupcakes = \frac{Total\ Sprinkles}{Sprinkle\ Per\ Cupcake}[/tex]
This gives:
[tex]Cupcakes = \frac{134}{18}[/tex]
[tex]Cupcakes = 7.44[/tex]
[tex]Cupcakes = 7[/tex] approximated
Hence, 7 cupcakes are needed
Triangle BCD has the following side lengths: BC = 60, CD = 50
Triangle RST has the following side lengths: RS = 11x-4, ST = 70
What is the value of x? (put just the number in the first box)
What is the length of side RS? (put just the number in the second box)
The value of x is 11 and the length of side RS is 117
How to determine the value of x?The given parameters are
BC = 60 and CD = 50
RS = 11x - 4 and ST = 70
Express as a ratio
BC : CD = RS : ST
So, we have
60 : 50 = 11x - 4 : 70
Express as fraction
So, we have
60/50 = (11x - 4)/70
Cross multiply
So, we have
50 * (11x - 4) = 70 * 60
Divide both sides by 50
So, we have
11x - 4 = 84
This gives
11x = 88
Divide both sides by 11
So, we have
x = 11
Substitute x = 11 in RS = 11x - 4
RS = 11 x 11 - 4
Evaluate the product and the sum
RS = 117
Hence, the value of x is 11 and the length of side RS is 117
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2 meters and 20 centimeters = ? millmeters
2 meters and 20 centimeters =2200 millimeters
millimeters are smaller than centimiters and meters so how is is 40 when 2 meters are 2000 millimeters and 20 centimiters are 200 millimeters
What is the best first step in solving m–2(m–4)≤3m for m? Distribute -2 through the parentheses. Add 4 to both sides of the inequality. Reverse the direction of the inequality sign. Subtract m from both sides of the inequality.
The best first step in solving m–2(m–4)≤3m for m will be A. Distribute -2 through the parentheses.
What is an inequality?It should be noted that an inequality simply means a relation between the expressions that are unequal.
It should be noted that the best first step in solving m–2(m–4)≤3m for m will be to distribute -2 through the parentheses.
This is important in order to have variables of m and then solve accordingly.
In conclusion, the best option is A.
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is 45/9 a interger or a other type of number?
Answer:
it is an integer.
Step-by-step explanation:
Answer:
Interger because it's a whole number and whole numbers are intergers. Hope this helps pls give brainliest
Step-by-step explanation: