Answer:
The exponent -9 makes the given statement true.
Step-by-step explanation:
We have been given an incomplete mathematical statement and we need to figure out the exponent for 5 on the right hand side to complete the statement.
The given incomplete statement is [tex]\frac{1}{5^{9}}=5^{?}[/tex].
Let us rewrite the left hand side of the expression by moving the exponential term to the numerator using exponent property. As per this property, if we shift an exponential term from denominator to numerator (or vice versa), the sign of exponent changes.
Therefore, we get:
[tex]5^{-9}=5^{?}[/tex]
Now that we have common bases on both the sides, we can equate the exponents. And upon equating the exponents, we can see that the 'question mark' should be replaced by -9 in order for statement to be true.
Therefore, exponent -9 on the right hand side will make the statement true.
Answer:
1/5^9 = 5^-9
Step-by-step explanation:
Given a population with mu = 64 and sigma = 25, if one draws samples of size l55, the sample means will have a distribution which is approximately normal with:
Final answer:
The sampling distribution of the sample mean will be approximately normally distributed with a mean of 64 and a standard error calculated by dividing the population standard deviation (25) by the square root of the sample size (155).
Explanation:
The student's question involves the concept of the sampling distribution of the sample mean. Given a population with a mean (μ) of 64 and a standard deviation (σ) of 25, and drawing samples of size 155, the sampling distribution of the sample mean will have a mean equal to the population mean, which is 64. The standard deviation of the sampling distribution (σx), known as the standard error, will be the population standard deviation (σ) divided by the square root of the sample size (n), thus σx = 25/ √155. As the sample size is large, according to the central limit theorem, this sampling distribution will be approximately normal.
Therefore, the sampling distribution of the sample mean will be approximately normally distributed with a mean (μx) of 64 and a standard error (σx) which can be calculated as mentioned above.
Please help its past due!
Quadrilateral ABCD is located at A(−2, 2), B(−2, 4), C(2, 4), and D(2, 2). The quadrilateral is then transformed using the rule (x + 7, y − 1) to form the image A'B'C'D'. What are the new coordinates of A', B', C', and D'? Describe what characteristics you would find if the corresponding vertices were connected with line segments.
A(−2, 2), B(−2, 4), C(2, 4), and D(2, 2).
rule (x + 7, y − 1)
To find new coordinates we add 7 with x and subtract 1 from y
A(−2, 2) -----> A' (5,1)
B(−2, 4) -------> B' (5, 3)
C(2, 4) ---------> C' (9, 3)
D(2, 2) -------->D' (9, 1)
Characteristics
When we connect all the points by line segments, the line A'B' will be parallel to C'D'.
Also, B'C' parallel to A'D'.
All the four lines forms a rectangle .
The new coordinates of the points are A'(5, 1), B'(5, 3), C'(9, 3), and D'(9, 1).
When you connect the vertices, you have a rectangular prism.
One wintry week a ski town got 5 1/3 inches of snow. On monday the town got 2 3/4 inches; on tuesday it got 1 1/2 times as much; and on wednesday it got 7/8 inch. How much snow did the town get the rest of the week?
Answer: The amount of snow the town get the rest of the week is given by
[tex]\frac{5}{24}[/tex]
Step-by-step explanation:
[tex]\text{ Total inches of snow town got in a week }=5\frac{1}{3}=\frac{16}{3}[/tex]
[tex]\text{ Amount of snow it is receiving on Monday}=2\frac{3}{4}=\frac{11}{4}\text{ inches }[/tex]
[tex]\text{Amount of snow it is receiving on Tuesday}=1\frac{1}{2}=\frac{3}{2}\text{ inches }[/tex]
[tex]\text{Amount of snow it is receiving on Wednesday}=\frac{7}{8}\text{ inches }[/tex]
[tex]\text{Amount it is receiving in remaining week is given by}[/tex]
[tex]\frac{16}{3}-(\frac{11}{4}+\frac{3}{2}+\frac{7}{8})\\\\=\frac{16}{3}-\frac{22+12+7}{8}\\\\=\frac{16}{3}-\frac{41}{8}\\\\=\frac{128-125}{8}\\\\=\frac{5}{24}\text{ inches }[/tex]
So, the amount of snow the town get the rest of the week is given by
[tex]\frac{5}{24}\text{ inches }[/tex]
60 feet per second is equal to how many kilometers per hour
Tom paid $245.97 for a laptop. This was 3/5 of the original price. What was the original price?
Let us say original price of the laptop was x dollars.
Price paid by Tom for the laptop = $245.97
Now this price paid by tom was 3/5 of the original price.
So we can make an equation using this information as :
[tex]\frac{3}{5}x=245.97[/tex]
So here 3/5 is in multiplication on the left, so dividing it on the right side we have:
x=409.95
So the original price of the laptop was $409.95
Answer: The original price of the laptop was 409.95 dollars.
Answer:
$409.95
I hope this helps. Have a nice day :D
6-^3
------
6-^4
A) 6-7
B) 6-1
C) 61
D) 612
Answer:
[tex]6^1[/tex]
Step-by-step explanation:
[tex]Use\\\\\dfrac{a^n}{a^m}=a^{n-m}\\\\\dfrac{6^{-3}}{6^{-4}}=6^{-3-(-4)}=6^{-3+4}=6^1[/tex]
Determine the constant of variation for the direct variation given. The number of fat calories varies directly with the grams of fat. There are 27 calories for each 3 grams of fat.
1/3
1/9
3
9
The Correct answer would be )9
27
---- = k K- Constant Variation
3
Hope This Helps
-Dante
9 is correct
27/3 = 9
Which values of P and Q result in an equation with no solutions? Qx+P=33x+25
Answer:
Step-by-step explanation:
Identify the complete predicate in the sentence below.
"The settlers traveled west in covered wagons"
a. traveled west
b. settlers traveled
c. traveled west in covered wagons
Identify the simple subject and verb
"Soon, telegraph lines provided additional communication to the city."
a. lines provided
b. telegraph lines soon provided
c. lines provided communication
Solution 1:
In the given statement :
"The settlers traveled west in covered wagons"
The Predicate is traveled west in covered wagons.
So option c. traveled west in covered wagons is the correct choice.
Solution 2:
In the given sentence:
"Soon, telegraph lines provided additional communication to the city."
The simple subject and verb are given by lines provided.
Answer : Option a: lines provided.
Plz Answer ASAP!!! (20 Points)
Equation is x= 558 t2/496
x=4.5
I got the answer from another brainly user asking the same question. Someone else answered it. I just typed your question into the search bar and got it. Good luck <3
A spinner with two sectors labeled A and B is spun, and a number cube is rolled.
What is the sample space for the experiment?
{A1, A2, A3, A4, A5, A6, B1, B2, B3, B4, B5, B6}
{A, B}
{A, B, 1, 2, 3, 4, 5, 6}
{1, 2, 3, 4, 5, 6}
The sample space for spinning a spinner with two sectors labeled A and B, and rolling a number cube, is {A1, A2, A3, A4, A5, A6, B1, B2, B3, B4, B5, B6}.
Explanation:The sample space for the experiment of spinning a spinner with two sectors labeled A and B, and rolling a number cube, can be determined by listing all the possible outcomes. The outcomes will be the combination of all possible results from spinning the spinner (A or B) and rolling the number cube (1, 2, 3, 4, 5, or 6). Therefore, the sample space is {A1, A2, A3, A4, A5, A6, B1, B2, B3, B4, B5, B6}.
Given right triangle ABC, what is the value of tan (A)?
12/5 is the answer because if you use the help of "SohCahToa" you find that 12 is the opposite side of angle A and 5 is the adjacent angle
Start with the following conditional statement: If it is October 31, then it is Halloween.
a. State the converse of the statement.
b. State the inverse of the statement.
c. State the contrapositive of the statement.
( Answer in your own words, or don't answer at all )
The converse of 'If it is October 31, then it is Halloween' is 'If it is Halloween, then it is October 31.' The contrapositive is 'If it is not Halloween, then it is not October 31.'
Explanation:In logic and mathematics, we often explore the relationships between statements through their converses and contrapositives. Starting with the conditional statement, 'If it is October 31, then it is Halloween,' we can form the converse and contrapositive as follows:
The converse of the statement essentially flips the 'if' and 'then' components. As such, the converse of your statement would be: 'If it is Halloween, then it is October 31.'The contrapositive of a statement switches the 'if' and 'then' components and negates both. Hence, the contrapositive of your statement is: 'If it is not Halloween, then it is not October 31.'Learn more about Conditional Statements here:https://brainly.com/question/36974334
#SPJ3
what is (5y+6)-(10y+3)
(5y + 6 ) - (10y + 3 )
Let's simplify step-by-step.
5y + 6 −(10y + 3)
Distribute the Negative Sign:
= 5y + 6 + −1(10y + 3)
= 5y + 6 + −1(10y) + (−1)(3)
= 5y + 6 + −10y + −3
Combine Like Terms:
= 5y + 6 + −10y + −3
= (5y + −10y) + (6 + −3)
= −5y + 3
Answer: = −5y + 3
Hope that helps!!!!! : )
a cone is a polyhedron.
A.)True
B.)False
The statement "a cone is a polyhedron" is false. The correction option is B.)False
What is a Polyhedron?A polyhedron is a three-dimensional shape with flat polygonal faces, straight edges and sharp corners or vertices.
Whereas, a cone is a three-dimensional geometric figure that has a flat surface and a curved surface, and is pointed towards the top.
From the above definitions, we can infer that a cone is not a polyhedron.
Hence, the statement "a cone is a polyhedron" is false. The correction option is B.)False
Learn more on Polyhedron here: https://brainly.com/question/3204708
#SPJ1
Answer: True
Step-by-step explanation:
Vincent ran 24 laps on monday. This is 63 2/3 of the maximum number of laps he has run in one day. What is the maximum number of laps vincent has run in one day?
63.66%x=24
x=240000/6366
=40000/1061
The number [tex]27^{-\frac{2}{3} }[/tex], can be written in the form [tex]\frac{1}{\sqrt[A]{27^{B} } }[/tex]. What is the value of B?
1. [tex]\frac{2}{3}[/tex]
2. 3
3. -2
4. 2
Answer:
4. 2
Step-by-step explanation:
The value of B in the expression is the numerator of the fraction in the exponent: 2.
[tex]27^{-\frac{2}{3}}=\dfrac{1}{\sqrt[3]{27^2}}[/tex]
_____
= 1/9
Eight packages of strawberries cost $24. How many packages can you buy for $12
How many times do you have to multiply 4 to get to 56?
What is the range of the function of y=4e^x
What does the graph of eˣ look like? It has an asymptote at y = 0, passes through (0, 1) and goes to ∞.
y = 4eˣ has a vertical stretch by a factor of 4 compared to the parent graph so the range is the same as it's parent graph.
Range: y > 0 Interval Notation: (0, ∞)
What is 99,102 rounded to the nearest hundred thousand
The answer to this question is 100,000 exactly.
Gina bought 2.3 pounds of red apples and 2.42 pounds of green apples. They were on sale for $0.75 a pound. How much did the apples cost together?
X=2y^3+3 find the inverse show all work
[tex]x=2y^3+3\\\\\text{change x to y and y to x}\\\\y=2x^3+3\\-----------------------\\\text{if you did it}\\\\2y^3+3=x\ \ \ \ |-3\\\\2y^3=x-3\ \ \ \ |:2\\\\y^3=\dfrac{x-3}{2}\to\boxed{y=\sqrt[3]{\dfrac{x-3}{2}}}[/tex]
The sculptures at Mount Rushmore each measure about 60 feet from chin to forehead. For the average person, this distance is 9 inches. The average distance between a person's ears is 6 inches. What is the ratio of a person's chin to forehead distance compared to the distance between his ears?
Answer:
Distance from chin to forehead is 1.5 times the distance between ears.
Step-by-step explanation:
We are told that distance from chin to forehead for the average person is 9 inches and distance between a person's ears is 6 inches. We are supposed to compare the ratio of a person's chin to forehead distance with respect to the distance between his ears.
We can present our given information as: [tex]\frac{9}{6}[/tex]
[tex]\frac{9}{6} =1.5[/tex]
Therefore, distance from chin to forehead is 1.5 times the distance between ears.
Answer:
the answer is 3/2 I just answered and got it right
The garden club earned \$15$15dollar sign, 15 per hour by weeding neighborhood gardens for ttt hours. A generous donor has agreed to double their earnings.
how much did the garden club earn in all?
The garden club earned $15 per hour by weeding neighborhood gardens for t hours.
A generous donor has agreed to double their earnings.
Double their earnings means we multiply by 2
So earning 15 per hour becomes 2*15 = 30 per hour
Given the number of hours is t
Earnings = $30 times number of hours
Earnings = 30 * t
Given that earning for 1 hour by weeding neightborhoods garden = $15
Then earning for 2 hours by weeding neightborhoods garden = $15*2= $30
Then earning for 3 hours by weeding neightborhoods garden = $15*3
Using same pattern earning for t hours by weeding neightborhoods garden = $15*t= $15t
Not it says that earning is doubled means you are getting 2*15 or $30 per hour
then new earning will be $30t in place of $15t
Hence final answer is $30t.
Bryan paid $19.95 for 2.5 pounds of turkey.What was the price per pound
Final answer:
The price per pound of turkey is $7.98.
Explanation:
To find the price per pound, divide the total cost by the weight. In this case, Bryan paid $19.95 for 2.5 pounds of turkey. So, the price per pound is $19.95 divided by 2.5, which is $7.98 per pound.To calculate the price per pound of turkey that Bryan paid, we divide the total cost by the total weight. Bryan paid $19.95 for 2.5 pounds of turkey.
Divide the total cost by the total weight in pounds.
$19.95 ÷ 2.5 pounds = $7.98 per pound
Thus, the price per pound of turkey that Bryan paid is $7.98.
To keep up with rising cost a carpenter needs to increase his $30.00 per hour rate by 18% what will be his hour rate ?
Answer:
In order to keep up with rising cost carpenter needs to increase his $30.00 per hour rate to 35.40 $.
Explanation:
To keep up with rising cost a carpenter needs to increase his $30.00 per hour rate by 18%.
So hour rate of carpenter = 30.00 $
Rate of increase = 18 % = 0.18
New hour rate = Initial hour rate + Rate of increase x Initial hour rate
= 30 + 0.18 x 30 = 30 + 5.4 = 35.40 $
So in order to keep up with rising cost carpenter needs to increase his $30.00 per hour rate to 35.40 $.
The carpenter's new hourly rate after an 18% increase on his current rate of $30.00 will be $35.40 per hour.
To calculate the new hourly rate with an 18% increase, first find 18% of the carpenter's current $30.00 per hour rate. The formula for calculating the percentage increase is:
Percentage increase in wage = (Current hourly rate) x (Percentage increase) / 100
In this case, the calculation would be: $30.00 x 18% / 100 = $5.40.
Next, add this increase to the current rate to find the new rate:
New hourly rate = Current hourly rate + Increase in wage
Applying the values:
New hourly rate = $30.00 + $5.40 = $35.40 per hour.
So, the carpenter needs to charge $35.40 per hour to achieve an 18% increase in his rate.
Avery’s piggy bank has 300 nickels, 450 pennies, and 150 dimes. She randomly picks three coins. Each time she picks a coin, she makes a note of it and puts it back into the piggy bank before picking the next coin.
The table of randomly generated coin selections simulates this scenario. Each letter represents the first letter of the associated coin.
NPP NDN NNP PDP NPP
PDN DPN NNN PDN NPP
PNN NPP NPP NND DNP
PNN NNP PPP PNP NNN
PPP DPP PPD PDD PDP
PDP PPP NPP DNP PNN
PDN NNN PPP DPN DPD
NND NPP PDP PNP DND
PPN DPN PNP NPN NDN
PPP DPP PPN NDP PPP
The estimated probability that exactly two of the three coins Avery randomly picked are nickels is .
The estimated probability that exactly one of the three coins Avery randomly picked is a dime is .
The estimated probability that all three coins Avery randomly picked are pennies is .
The estimated probability that exactly two of the three coins Avery randomly picked are nickels is the estimated probability that exactly one of the three coins Avery randomly picked is a dime.
Answer:
(1) .20 (2) .40 (3) .12 (4) Less than
Step-by-step explanation:
You have to look at the table. There are 5 columns with 10 rows. 5x10=50
Then simply count the boxes that have the correct number of currency for instance, if they are asking for EXACTLY 1 dime then you rule out the ones that have 2 or 3 dimes and only the count the ones that have a single dime. So you count PDN but you would not count PDD. There are 20 boxes that have a single dime in them. 20 out of the 50 boxes. 20/50=.40 (answer 2)
The estimated probability that exactly two of the three coins Avery randomly picked are nickels is . 20
The estimated probability that exactly one of the three coins Avery randomly picked is a dime is . 40
The estimated probability that all three coins Avery randomly picked are pennies is . 12
The answer to #1 is .20 or 20% and the answer to #2 is .40 or 40%. 20% is less than 40% so...
The estimated probability that exactly two of the three coins Avery randomly picked are nickels is LESS THAN the estimated probability that exactly one of the three coins Avery randomly picked is a dime.
Answer:
The answer to #1 is .20 or 20% and the answer to #2 is .40 or 40%. 20% is less than 40% so...
Geoff has a bag that contains 4 red marbles and 6 blue marbles. He chooses two marbles at random and does not replace them. What is the probability that the first marble is blue and the second marble is red? A. B. C. D.
Total number of marbles = 10
Number of red marbles = 4
Number of blue marbles = 6
Probability = [tex]\frac{number of favorable outcomes}{total number of outcomes}[/tex]
The probability that the first marble is blue = [tex]\frac{6}{10}[/tex]
The probability that the first marble is red = [tex]\frac{4}{9}[/tex] ; 9 because 1 marble has already been taken out.
Joint probability= probability of event A * Probability of event B
= [tex]\frac{6}{10}\times\frac{4}{9}[/tex]=[tex]\frac{24}{90}= \frac{4}{15}[/tex]
Mateo reproducira una foto que mide 5 cm por lado a una escala de 3/4
cuanto medira el lado del cuadrado de la copia?
la medida de la copia sera mayor o menor que la original?
the question in English
Mateo will reproduce a photo measuring 5 cm per side on a scale of 3/4
How much will the square side of the copy measure?
Will the size of the copy be larger or smaller than the original?
we know that
the scale factor is equal to [tex]\frac{3}{4}[/tex]
Let
x----------> the original length side
y--------> the copy length side
[tex]y=\frac{3}{4}*x[/tex]
we have that
[tex]x=5\ cm[/tex]
substitute the values
[tex]y=\frac{3}{4}*5=3.75\ cm[/tex]
therefore
the answer Part a) is
the length side of the copy measure is [tex]3.75\ cm[/tex]
Part b)
we know that
the size of the original photo is------> [tex]5*5=25\ cm^{2}[/tex]
the size of the copy is------> [tex]3.75*3.75=14.06\ cm^{2}[/tex]
so
[tex]14.06\ cm^{2} < 25\ cm^{2}[/tex]
therefore
the answer part b) is
The size of the copy be smaller than the original