All the numbers from 1 to 99 are multiplied together. Use a pattern to determine the last digit of the product. Justify your answer.
Answer:
answer = 0
Step-by-step explanation:
99 x 98 x 97 x 96 x 95 x 94 x 93 x 92 x 91 x 90 ....etc
it will get zero eventually
Which graph has the parent function 1/x?
Answer:
The graph of parent function \(f(x)=\frac{1}{x}\) is a hyperbola.
Step-by-step explanation:
A rational function is described as the fraction of polynomials, where the denominator has degree of at least 1 .
Or it can be said that there must be a variable in the denominator.
The general form of a rational function is:
\(\text{Rational Function}= f(x)=\frac{p(x)}{q(x)}\)
In this case the parent function provided is: \(f(x)=\frac{1}{x}\).
The function is rational.
The graph of parent function \(f(x)=\frac{1}{x}\) is a hyperbola.
The graph is attached below.
What multiplier would be used to increase a number by
15%?
O 0.15
O 1.15
O 1.5
The multiplier would be used to increase a number by 15% is, 1.15
What is multiplicative rate of change?The multiplicative rate of change is a number by which we get another number from the previous number, to get the value of this number , we have to divide the other number from the previous number.
Suppose
first number = X
second number = Y
second number is 15% more than first number
So, Y = X + 15% of X
Y = X + 0.15X
Y = 1.15 X
for multiplicative rate of change we have to apply divide operation,
⇒ P = Y/X
⇒ P = 1.15X/X
⇒ P = 1.15
Hence, the result is 1.15
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Rectangle ABCD has coordinates A(−10, 5), B(10, 5) , C(10, 0), and D(−10, 0). Rectangle A′B′C′D′ has coordinates A′(−2, 1), B′(2, 1), C′(2, 0) , and D′(−2, 0) . Which transformation describe why rectangles ABCD and A′B′C′D′ are similar? Responses Rectangle ABCD was reflected across the y-axis to form rectangle A′B′C′D′. , Rectangle , A B C D, , , was reflected across the y -axis to form rectangle, , , A prime B prime C prime D prime, . , Rectangle ABCD was dilated by a scale factor of 5 to form rectangle A′B′C′D′. , Rectangle , A B C D, , , was dilated by a scale factor of 5 to form rectangle, , , A prime B prime C prime D prime, . Rectangle ABCD was dilated by a scale factor of 15 to form rectangle A′B′C′D′ . , Rectangle , A B C D, , , , was dilated by a scale factor of , , 1 over 5, , to form rectangle, , A prime B prime C prime D prime, , . Rectangle ABCD was rotated 90° counterclockwise to form rectangle A′B′C′D′.
The correct transformation that describes why rectangles ABCD and A′B′C′D′ are similar is Rectangle ABCD was dilated by a scale factor of 5 to form rectangle A′B′C′D′.
Dilation is a transformation that changes the size of an object while maintaining its shape. In this case, the coordinates of rectangle ABCD were multiplied by a scale factor of 5 to obtain the coordinates of rectangle A′B′C′D′.
This means that each side length of rectangle ABCD was multiplied by 5 to get the corresponding side length of rectangle A′B′C′D′.
The reflection across the y-axis and the rotation of 90° counterclockwise would result in different shapes and orientations, not maintaining the similarity between the two rectangles.
The dilation by a scale factor of 15 or 1/5 would also change the proportions and not result in a similar rectangle.
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A ball is thrown in the air from the top of a building. Its height, in meters above ground, as a function of time, in seconds, is given by h(t)= −4.9t^2+11t+7. How many seconds does it take to reach maximum height? Enter the answer with at least 3 decimal places.
Given statement solution is :- It takes approximately 1.122 seconds for the ball to reach its maximum height.
To find the time it takes for the ball to reach its maximum height, we need to determine the vertex of the parabolic function given by the equation h(t) = \(-4.9t^2 + 11t + 7.\)
The vertex of a parabola in the form y = \(ax^2 + bx\) + c is given by the formula t = -b / (2a).
Comparing the equation h(t) = \(-4.9t^2 + 11t + 7\) to the standard form, we have:
a = -4.9
b = 11
Using the formula for the vertex, we can calculate the time it takes to reach the maximum height:
t = -11 / (2 * -4.9)
t = -11 / -9.8
t ≈ 1.122
Therefore, it takes approximately 1.122 seconds for the ball to reach its maximum height.
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write bicontional statement
The biconditional statement is: A rectangle is a parallelogram with four right angles if and only if a parallelogram has four right angles.
What is the biconditional statement.The term "if and only if" or biconditional statement refers to a compound statement composed of two conditional statements connected by a logical operator.
This definition is commonly utilized to describe the characteristics of a rectangle when it comes to its correlation with a parallelogram. The opening section of the biconditional statement is comprised of a conditional statement indicating that a rectangle is defined as a parallelogram featuring four right angles.
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Write this definition as a biconditional statement.
A rectangle is a parallelogram with four right angles.
A car is moving at a uniform speed of 75km /hour.
a. How far will it travel in 20 minutes
b. Find the time required to cover a distance of 250km. fast
what is the correct procedure when you want to do a test of the population mean but the population standard deviation is unknown? select all that apply.
When the population standard deviation, is unknown, a hypothesis test for the population mean is conducted the same way as if the population standard deviation were known. The t-distribution is used instead of the conventional normal distribution, which is the only distinction (z-distribution).
On a map, 1 inch equals miles. If two cities are 3 inches apart on the map, how far are they actually apart?
Answer: as many miles as 3 inches is
Step-by-step explanation:
To determine the actual distance between two cities when given a scale on a map, we can use the concept of ratios and proportions.
In this case, we are told that 1 inch on the map represents a certain number of miles. Let's say that 1 inch on the map represents x miles.
We can set up the following proportion:
1 inch / x miles = 3 inches / y miles
Using cross-multiplication, we have:
1 inch * y miles = 3 inches * x miles
Simplifying the equation:
y miles = 3 inches * x miles
Now, we can substitute the given value of 3 inches for the distance on the map:
y miles = 3 inches * x miles
To find the actual distance between the cities (y miles), we need to know the value of x, which represents the number of miles represented by 1 inch on the map. Without that information, we cannot calculate the actual distance between the cities.
You and five friends form a team for an outdoor adventure race. Your team needs to raise money to pay $130 in travel fees, x$ dollars for each member’s entry fee, and $85.50 for food. Use an algebraic expression to find the total amount your team needs to raise when the entry fee is $25.50 per person.
The total amount your team needs to raise is $
The total amount the team needs to raise is $1446.
What is an algebraic expression?An algebraic expression is an equation which have a variation whose value is to be determined.
In the given question, the total number of members of the team is 6.
Then;
travel fees, x = $130
each member's entry fee, y = $25.50
food, z = $85.50
Thus,
total amount needed = 6(x + y + z)
= 6(130 + 25.50 + 85.5)
= 6(241)
= 1446
The total amount needed to be raised by the team is $1446.0
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To win at LOTTO in one state, one must correctly select 6 numbers from a collection of 47 numbers (1 through 47 ). The order in which the selection is made does not matter. How many different selections are possible?
Answer:
Step-by-step explanation:
nCr = n! / r!(n-r)!
n=46
r=6
=46!/6!(46-6)!
=46!/[6!(40)!]
=(46*45*44*43*42*41*40!)/(6*5*4*3*2*1)(40!)
Cancel out 40!
=46*45*44*43*42*41/(6*5*4*3*2*1)
=6744109680/720
=9366819
Possible different selection 9366819
HELP ASAP ROCKY!!! will get branliest.
Answer:
work pictured and shown
Answer:
Last one
Step-by-step explanation:
● [ ( 3^2 × 5^0) / 4 ]^2
5^0 is 1 since any number that has a null power is equal to 1.
●[ (3^2 ×1 ) / 4 ]^2
● (9/4)^2
● 81 / 16
In a lottery, the top cash prize was $642 million, going to three lucky winners. Players pick five different numbers from 1 to 56 and one number from 1 to 49.
Save
A player wins a minimum award of $225 by correctly matching three numbers drawn from the white balls (1 through 56) and matching the number on the gold ball (1 through 49). What is the probability of winning the minimum award?
The probability of winning the minimum award is
Total number of possible outcomes:
Number of ways to choose 3 numbers from 56 (56 choose 3): 56! / (3! * (56 - 3)!) = 22,957
Number of ways to choose 1 number from 49: 49
Total number of possible outcomes = 22,957 * 49 = 1,128,593
Number of favorable outcomes:
Number of ways to choose 1 number from 49: 1
Number of favorable outcomes = 1
Probability of winning the minimum award:
Probability = Number of favorable outcomes / Total number of possible outcomes
Probability = 1 / 1,128,593 ≈ 0.000000888, or approximately 0.0000888%
Show that the angle bisector of an equilateral triangle is perpendicular to the base
To show that the angle bisector of an equilateral triangle is perpendicular to the base, we can assume an equilateral triangle with sides ABC. Next, we can get an angle bisector in the middle represented by BD which becomes perpendicular to the base BC.
How to prove that the angle bisector is perpendicular to baseAfter getting the angle bisector, we would see that the line segment BD, divides angle BAC into two equal angles, each measuring 30 degrees. Now, we can draw a perpendicular line from point D to the base BC.
We could also draw a line E, which is the perpendicular line that intersects the base BC. We want to show that BD is perpendicular to BC, which means we need to show that angle BDE is a right angle.
Since the sum of angles BDA and ADE is 90 degrees (they form a right angle), and the sum of angles BAD, ABD, and BDA is 180 degrees, it follows that angle BDE must be a right angle.
Therefore, we have shown that the angle bisector of an equilateral triangle is perpendicular to the base.
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Evaluating Linear Piecewise Functions
Consider the function:
f(x) =
7/2+ 2x, x≤-1
-5+3x/2, -1
1/4x, x≥3
< -5_-4_-3_-2_-1_0_1_2_3_4_5 >
What are these values?
f(-3) =[-19/2]ᵒʳ[-5/2]ᵒʳ[-3/4]ᵒʳ[5/2]
f(-1) =[-13/2]ᵒʳ[-3/2]ᵒʳ[-1/4]ᵒʳ[-3/2]
f(3) =[-7/4]ᵒʳ[-1/2]ᵒʳ[3/4]ᵒʳ[19/2]
PLEASE HELP ME ON A SERIOUS TIME CRUNCH!!
Me pueden resolver esto porfa
Answer:
need points for school i have to have 50 points by 3 pm ill owe u promise :)
Step-by-step explanation:
Suppose you bought ares company 4 years ago at a price of $63.00 per share sold it at $71.50 per share. How much money die you make? $37750 $382.50 $387.50 $392.50
The amount you made per share is $8.50.
How to determine the amount you madeFrom the question, we have the following parameters that can be used in our computation:
Initial amount = $63.00
Final amount = $71.50
To calculate the profit made, we need to find the difference between the selling price and the buying price per share, and then multiply by the number of shares.
The difference in price per share is:
Difference = $71.50 - $63.00
Evaluate the difference
Difference = $8.50
Hence, the profit per share is $8.50.
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9) 64 is ______
times as many as 8.
Answer:
eight into eight
Step-by-step explanation:
Eight into Eight equals to 64
Solve the problem.
What is
Suppose the cost per ton, y, to build an oil platform of x thousand tons is approximated by f(x) =
112,500
x + 225
the cost per ton for x = 100?
$34,615.38
$900.00
$346.15
$50,000.00
NO LINKS
PLEASEEEEE HELPPPPP
Answer:
-2 1/8
I think I'm not sure
In the number 6.172 the digit 2 represents 2 in the whats place?
An English teacher counted the number of misspelled words in a 1000-word essay he assigned to his students. From a group of 49 students, the mean number of misspelled words was 9.1. The distribution of the student population is normal with a variance of 12.25. What is a confidence interval for the mean number of misspelled words in the student population, considering a confidence level of 99.7%? (Use 3 for the Z value in the formula below)
Answer:
C. [7.6, 10.6]
Step-by-step explanation:
To calculate the confidence interval for the mean number of misspelled words in the student population, we can use the confidence interval formula:
\(\boxed{CI=\overline{x}\pm z\left(\dfrac{s}{\sqrt{n}}\right)}\)
where:
\(\overline{x}\) is the sample mean.z is the confidence level value.s is the sample standard deviation.n is the sample size.Given values:
\(\text{Mean}\;\overline{x} = 9.1\)\(\text{Variance}\;s^2=12.25\)\(\text{Sample size}\;n=49\)The standard deviation is the square root of the variance:
\(s=\sqrt{s^2}=\sqrt{12.25}=3.5\)
The empirical rule states that approximately 99.7% of the data points will fall within three standard deviations of the mean.
Therefore, z-value for a 99.7% confidence level is z = 3.
Substituting these values into the formula, we get:
\(CI=9.1\pm 3\left(\dfrac{3.5}{\sqrt{49}}\right)\)
\(CI=9.1\pm 3\left(\dfrac{3.5}{7}\right)\)
\(CI=9.1\pm 3\left(0.5\right)\)
\(CI=9.1\pm 1.5\)
Therefore, the 99.7% confidence limits are:
\(CI=9.1-1.5=7.6\)
\(CI=9.1+1.5=10.6\)
Therefore, the confidence interval for the mean number of misspelled words in the student population is [7.6, 10.6].
Kenrick mows lawns on Sundays. Last
week it took him 5 hours to finish.
This week it took only 5 hours. How
many times longer did it take last
week than this week?
Answer:
0 hours.
Step-by-step explanation:
He finished at the same time than Kenrick finished last week. So, he/she did not delay in mowing the lawn. Hoped this helped.
An engineer designs an improved light bulb. The previous design had an average lifetime of 1200 hours. The mean lifetime of a random sample of 2000 new bulbs is found to have a mean lifetime of 1201 hours. Although the difference from the old mean lifetime of 1200 hours is quite small, the P-value is 0.03 and the effect is statistically significant at the 0.05 level. If, in fact, there is no difference between the mean lifetimes of the new and old designs, the researcher has:________
a. committed a type 1 error
b. committed a type 2 error
c. a probability of being correct, which is equal to the P-value
d. a probability of being correct, which is equal to 1-(P-value)
Answer:
a. committed a type 1 error
Step-by-step explanation:
The correct option is - a. committed a type 1 error
Reason -
Type 1 error occurs when a true null Hypothesis is rejected
Type 2 error occurs when a false null Hypothesis is accepted
Now,
Let us state that,
The null hypothesis and alternate hypothesis is
H0 : There is no difference between the mean lifetimes of the new and old designs
H1 : There is a difference between the mean lifetimes of the new and old designs
Now,
As there is no difference between the mean lifetimes of the new and old designs.
⇒ The null hypothesis is true.
But p value suggests that null hypothesis should be rejected
∴
We have committed a Type 1 error that is rejecting a true null hypothesis.
So,
The correct option is - a. committed a type 1 error
Tim has 39 grapes. He keeps 9 for himself. Then he gives 6 to his friends. To how many friends does Tim give grapes.
Answer:
wow tim has 6 friends, he has 6 more friends than me
Step-by-step explanation:
1. A parallelogram has a base of 12 centimeters and a height of 8 centimeters.
What is the area of the parallelogram? *
A. 20 cm2
B. 40 cm2
C. 96 cm2
D. 208 cm2
BRAINLIEST + 30 points if correct!!
Which of the following statements about this function's domain is true?
A.
Domain: 0 < y < 4
The domain represents the set of all possible outputs - the various prices of the pool.
B.
Domain: 0 ≤ x ≤ 16 and 0 < y < 3.5
The domain represents all of the values that were measured in this problem.
C.
Domain: 0 ≤ y ≤ 16
The domain represents the set of all possible inputs - the times when price was measured.
D.
Domain: 0 ≤ x ≤ 16
The domain represents the set of all possible inputs - the times when price was measured.
Answer:
D.
Domain: 0 ≤ x ≤ 16
The domain represents the set of all possible inputs - the times when price was measured.
3 x 3 x 3 x 3 x 3 x 3 as an exponential notation
Answer:
3^6
Step-by-step explanation:
Answer:
3^6
Count how many threes there are and that's the exponent
Put y’all life down below now
Answer:
I don't have a life.....
Answer:
I am an Undertale trash. so this is my life.
Step-by-step explanation:
salesperson earns $345 for selling $2300 in merchendice find the commison rate
Answer:
The commission rate is 15%
Step-by-step explanation:
commission = commission rate x sales
where the commission rate is expressed as a decimal.
In this case, the salesperson earned a commission of $345 for selling $2,300 in merchandise. Therefore, we have:
345 = commission rate x 2300
To solve for the commission rate, we can divide both sides by 2300:
commission rate = 345/2300
Simplifying this expression, we get:
commission rate = 0.15
So, the commission rate is 15%