Answer:
918 ➗ 81
Step-by-step explanation:
Answer:
It's about 0.088.
(10-3)x(3-2^5) Use pemdas.
Answer:
-203
Step-by-step explanation:
(10−3)×(3−2^5 )
Subtract 3 from 10 to get 7.
7(3−2^5 )
Calculate 2 to the power of 5 and get 32.
7(3−32)
Subtract 32 from 3 to get −29.
7(−29)
Multiply 7 and −29 to get −203.
−203
BCD is a straight line.
ABC is a triangle.
Show that triangle ABC is an isosceles triangle.
Give a reason for each stage of your working.
Yes, Triangle ΔABC is an isosceles triangle.
What are the properties of Triangle?The properties of the triangle are:
The sum of all the angles of a triangle (of all types) is equal to 180°. The sum of the length of the two sides of a triangle is greater than the length of the third side. In the same way, the difference between the two sides of a triangle is less than the length of the third side.We can prove that triangle ABC is an isosceles triangle using the fact that BCD is a straight line, and the angles of a triangle add up to 180 degrees.
First, we note that the angles of triangle ABC add up to 180 degrees:
∠ABC + ∠ACB + ∠BAC = 180 degrees
Since ∠ACD and ∠ACB are adjacent angles, we know that:
∠ACD + ∠ACB = 180 degrees
Substituting the value of ∠ACD (117 degrees) into this equation gives:
117 degrees + ∠ACB = 180 degrees
Simplifying, we get:
∠ACB = 63 degrees
Now we can rewrite the equation for the sum of the angles of triangle ABC as:
∠ABC + 63 degrees + ∠BAC = 180 degrees
Substituting the value of ∠ABC (54 degrees) and simplifying, we get:
∠BAC = 63 degrees
Since ∠ABC = ∠BAC, we have shown that triangle ABC is an isosceles triangle.
Reasoning:
The angles of a triangle add up to 180 degrees.Adjacent angles on a straight line add up to 180 degrees.Substituting the value of ∠ACD into the equation for adjacent angles on a straight line gives ∠ACB = 63 degrees.Substituting the value of ∠ABC and simplifying the equation for the sum of the angles of triangle ABC gives ∠BAC = 63 degrees.Since ∠ABC = ∠BAC, triangle ABC is an isosceles triangle.Learn more about triangles here:
https://brainly.com/question/2773823
#SPJ2
one glacier advanced 3.63 cm in 3 days. Another glacier retreated 5.75 cm in 5 days. If each glacier moved the same amount each day, which glacier is moving faster? justify your answer.
Answer:
glacier one is moving faster
Step-by-step explanation:
rate at which Glacier 1 is moving:
3.63 / 3 = 1.21 cm per day
rate at which Glacier 2 is moving:
5.75 / 5 = 1.15 cm per day
Given the function f(x) = [tex]\frac{|x|}{x}[/tex] , find [tex]\lim_{x \to \00^-} f(x) and \lim_{x \to \00^+} f(x) and \lim_{x \to \00} f(x)[/tex]
Answer:
[tex]\displaystyle \lim_{x \to 0^-} f(x) = -1 \\ \lim_{x \to 0^+} f(x) = 1 \\ \lim_{x \to 0} f(x) = DNE[/tex]
General Formulas and Concepts:
Algebra I
Graphing FunctionsFunction NotationCalculus
Limits
Evaluating Limits GraphicallyIf [tex]\displaystyle \lim_{x \to a^-} f(x) = \lim_{x \to a^+} f(x)[/tex], then [tex]\displaystyle \lim_{x \to a} f(x)[/tex] existsStep-by-step explanation:
Step 1: Define
[tex]\displaystyle f(x) = \frac{|x|}{x}[/tex]
Step 2: Graph/Evaluate
Graph the function so we can evaluate the given limits. See attachment.
We see from the function that when we approach 0 from the left, we will get a -1.
∴ [tex]\displaystyle \lim_{x \to 0^-} f(x) = -1[/tex]
We see from the function that when we approach 0 from the right, we will get a 1.
∴ [tex]\displaystyle \lim_{x \to 0^+} f(x) = 1[/tex]
Since the limit from the left does not equal the limit from the right, the limit as x approaches 0 of f(x) does not exist (DNE).
Find an equivalent expression -2(6d-1) + 2(d-4)
PLSSSSS I need help
The options are
1.) 10d + 26
2.) -10d+ 26
3.) -10d-6
4.) 10d +16
5.) 10d - 4
thankyouuu
Answer:
3 . - 10d - 6
Step-by-step explanation:
-2(6d-1) + 2(d-4)
= - 12d + 2 + 2d - 8
= - 10d - 6
Hope it will help :)❤
A restaurant serves hot chocolate that has a mean temperature of 175 degrees with a standard deviation of 8.1 degrees. Find the probability that a randomly selected cup of hot chocolate would have a temperature of less than 161 degrees. Would this outcome warrant a replacement cup (meaning that it would be unusual)
Answer: The probability that a randomly selected cup of hot chocolate would have a temperature of less than 161 degrees =0.042
This outcome would warrant a replacement cup.
Step-by-step explanation:
Let x be a random variable that represents the temperature of hot chocolates.
GIven: Mean temperature = 175 degrees
standard deviation = 8.1 degrees
The probability that a randomly selected cup of hot chocolate would have a temperature of less than 161 degrees =[tex]P(x<161)[/tex]
[tex]=P(\dfrac{x-\mu}{\sigma}<\dfrac{161-175}{8.1})\\\\=P(Z<-1.7284) [Z=\dfrac{x-\mu}{\sigma}]\\\\=1-P(Z<1.7284)\\\\=1-0.9580\\\\=0.042[/tex]
Hence, the probability that a randomly selected cup of hot chocolate would have a temperature of less than 161 degrees =0.042 < 0.5 (unusual)
i.e. this outcome would warrant a replacement cup.
Distribute 28(2b + 1f + 1p)
Answer:
56b + 28f + 28p
Step-by-step explanation:
i think
Write an expression that is equivalent to
5(a+3b)+6+8a+12
Answer:
13a+15b+18 is the answer hope it helps
Answer:
[tex]5(a+3b)+6+8a+12=13a + 15b + 18[/tex]
Step-by-step explanation:
Expanding rules (and rearranging) gives us that
[tex]5(a+3b)+6+8a+12\\= (5a + 15b) + 8a + (6 + 12)\\= (5a + 8a) + (15b) + (18)\\= 13a + 15b + 18[/tex]
What’s the side length of x2+4x+4
Answer:
(x+2)^2
Step-by-step explanation:
State the hypothesis and claim:
The expense of moving the storage yard for the consolidated Package Delivery Service is justified only if it can be shown that the daily average travel distance is less than 214 mi. In 12 trial runs the average distance was 198 mi with a standard deviation of 42 mi At a = .01 test the claim that the average daily travel distance is less than 214 mi.
the claim is _____. H0: ___ H1: ____
Answer:
Null Hypothesis: H₀ : μ < 214 miles
Alternative Hypothesis :H₁: μ> 214 miles
The calculated value |t| = 1.319 < 3.4966 at 0.01 level of significance
Null hypothesis is accepted
The average daily travel distance is less than 214 miles
Step-by-step explanation:
Step(i):-
Given that the size of the sample 'n' = 12
The mean of the Population = 214 miles
The mean of the sample = 198 miles
The standard deviation of the sample = 42 miles
Level of significance = 0.01
Step(ii):-
Null Hypothesis: H₀ : μ < 214 miles
Alternative Hypothesis :H₁: μ> 214 miles
Test statistic
[tex]t = \frac{x^{-} -mean}{\frac{S.D}{\sqrt{n} } }[/tex]
[tex]t = \frac{198 -214}{\frac{42}{\sqrt{12} } }[/tex]
|t| = |- 1.319| = 1.319
Degrees of freedom = n-1 = 12 -1 =11
critical value [tex]t_{(0.005 , 11)} = 3.4966[/tex]
The calculated value |t| = 1.319 < 3.4966 at 0.01 level of significance
Null hypothesis is accepted
The average daily travel distance is less than 214 miles
A bookstore pays $4.50 for a novel. The percent of markup is 45%. Find the novel's selling price. 55 TE OME TELE mm
Answer:
Selling price= $6.53
Step-by-step explanation:
Giving the following information:
A bookstore pays $4.50 for a novel. The percent of markup is 45%.
To calculate the selling price, we need to use the following formula:
Selling price= purchase price*(1 + mark up percentage)
Selling price= 4.5*1.45
Selling price= $6.53
x² + 4 = 55
What is x
Answer:
7.1414284285
answer...
Clarkson University surveyed alumni to learn more about what they think of Clarkson. One part of the survey asked respondents to indicate whether their overall experience at Clarkson fell short of expectations, met expectations, or surpassed expectations. The results showed that 5% of the respondents did not provide a response, 26% said that their experience fell short of expectations, and 65% of the respondents said that their experience met expectations. (a) If we chose an alumnus at random, what is the probability that the alumnus would say their experience surpassed expectations
Answer:
0.04
Step-by-step explanation:
We are given that
The probability that the alumnus did not provide response=5%
The probability that the alumnus did not provide response=[tex]\frac{5}{100}=0.05[/tex]
The probability that the alumnus would say their experience fell short of expectations=26%=0.26
The probability that the alumnus would say their experience met expectations=65%=0.65
We have to find the probability that the alumnus would say their experience surpassed expectations.
We know that
Sum of all probabilities =1
Using the property
The probability that the alumnus would say their experience surpassed expectations=1-(0.05+0.26+0.65)
The probability that the alumnus would say their experience surpassed expectation=0.04
The rates of currency exchange published in the newspaper on a certain day showed that 12 pounds could be exchanged for 96 dollars. How many dollars could be obtained for 102 pounds?
Answer:
Step-by-step explanation:
Your answer
816 dollars
Mark it as Brainlist answer. Follow me.
I don’t know it help!
Answer: The answer is (4, 600)
Step-by-step explanation:
3x2/5=6/5=
Please I need help with this problem
Answer:
1.2
Step-by-step explanation:
[tex]\frac{3x2}{5}[/tex] = [tex]\frac{6}{5}[/tex] = 1.2
Answer: 6/5
Step-by-step explanation:
What is 4 2/3 + 5 1/12
You did not give me even close to the correct answer
Answer:
9 3/4! I hope this helps!
Step-by-step explanation:
Noah spent some of his allowance on monday,1/8 of his allowance on Tuesday,1/8 of it on Wednesday and 2/8 of it on thursday.noah has none of his allowance money left.what fraction of his allowance did he spend on monday?explain
Answer:
Noah spent 4/8 of his allowance on Monday.
Step-by-step explanation:
Given that Noah spent some of his allowance on Monday, 1/8 of his allowance on Tuesday, 1/8 of it on Wednesday and 2/8 of it on Thursday, and has none of his allowance money left, to determine what fraction of his allowance did he spend on Monday the following calculation must be performed:
8/8 - (1/8 + 1/8 + 2/8) = X
8/8 - 4/8 = X
4/8 = X
Therefore, Noah spent 4/8 of his allowance on Monday.
The sum of two numbers is 55. The large number is 13 more than the smaller number. What are the numbers?
Answer:
x = 34
y = 21
thus the two numbers are 34 and 21...
The smaller number is 21, and the larger number is 34 when the sum of two numbers is 55. The large number is 13 more than the smaller number.
Let's assume the smaller number is represented by x.
According to the given information, the larger number is 13 more than the smaller number. So, the larger number can be represented as (x + 13).
The sum of the two numbers is 55. We can set up the equation:
x + (x + 13) = 55
Simplifying the equation:
2x + 13 = 55
Subtracting 13 from both sides:
2x = 42
Dividing both sides by 2:
x = 21
Now that we have found the value of x (the smaller number), we can find the larger number by substituting it back into the expression (x + 13):
Larger number = x + 13 = 21 + 13 = 34
Therefore, the smaller number is 21, and the larger number is 34.
To know more about smaller numbers click here :
https://brainly.com/question/30681104
#SPJ2
how many solutions does the problem c*r*(a+f+t)=21 have if different letters represent different digits
Step-by-step explanation:
Factors of 21 are 1, 3, 7 and 21.
a + f + t cannot be 1 or 3 as it cannot be written as a sum of 3 distinct digits, so it is 7.
The smallest 3 remaining digits are 2, 5 and 6 which add to 13.
So there are no solutions.
Answer: 12
Step-by-step explanation:
21 = 21 x1 3x7
=1x3 expand over3= 12
(b) (7.5 x 10^5) - (8.6 x 10^4) + (2.7 x 10^3) +(1.4 x 10^4)
Answer:
680700
Step-by-step explanation:
this method can calculate more quickly
6 is 30% of what number
Answer:
1.8
Step-by-step explanation:
Answer:
6 is 30 percent of 20 STEP 1 6 = 30% × Y
STEP 2 6 =
30
100
× Y
Multiplying both sides by 100 and dividing both sides of the equation by 30 we will arrive at:
STEP 3 Y = 6 ×
100
30
STEP 4 Y = 6 × 100 ÷ 30
STEP 5 Y = 20
Finally, we have found the value of Y which is 20 and that is our answer.
You can easily calculate a similar type of calculation by using any regular calculator, simply enter 6 × 100 ÷ 30 and you will get your answer which is 20
Step-by-step explanation:
What is the ninth term of the geometric sequence 81, 27, 9, 3, ... ?
Answer:
59049
Step-by-step explanation:
I calculated it and got 59049
Which expression is equivalent to
3x + 2(4y + x)?
Hurry please, thanks!
Answer:
A.
Step-by-step explanation:
If anyone understands this pls helpp me
Answer: D - Mr. Lopez and Mrs. Foster
Step-by-step explanation: Mr. Lopez had 95% of his class show up. Mrs. Foster also had 95% show up, since 19 divided by 20 is .95. Mrs. Kelly had 90% of students in her class
Brianna measured the length of the cafeteria table in inches. She measured the same table in feet. Which unit would Brianna need more of to measure the length of the table? feet or inches and why?
A. She will need more inches than feet since feet are larger.
B. She will need more inches than feet since inches are larger.
C. She will need need more feet than inches since feet are smaller.
D. She will need the same number of inches and feet since they are the same size.
Answer:
A .she will need more inches than feet because feet are larger
Step-by-step explanation:
How do you Estimate the quotient of 1246 divided by 4
Answer:
See inside.
Step-by-step explanation:
Just think of 1000 divided by 4. Like that. Choose a rounded number close to the number you are trying to estimate, and solve the rounded number.
Help me with this math please
Answer:
Step-by-step explanation:
2
the stick number is a knot invariant that intuitively gives the smallest number of straight "sticks" stuck end to end needed to form a knot. Specifically, given any knot K, the stick number of K, denoted by stick (K), is the smallest number of edges of a polygonal path equivalent to K.
is this graph a function?
Answer:
yessss my dear
I hope to help you
Debra is buying prizes for a game at her school's fundraiser. The game has three levels of prizes, and she has already bought the second and third prizes. She wants the first prize to be nice enough to attract people to the game. The game's manufacturer has supplied her with the probabilities of winning first, second, and third prizes. Tickets cost $3 each, and she wants the school to profit an average of $1 per ticket. How much should she spend on each first prize
Answer:
$9.19
Step-by-step explanation:
We are given that
Cost of each ticket=$3
Average profit per ticket=$1
Expect gain for ticket purchaser must be -$1
Let x be the cost of first prize
Probability of first prize=0.15
Probability of second prize=0.30
Probability of third prize=0.45
Cost of second prize=$1.15
Cost of third prize=$0.74
Total probability=0.15+0.30+0.45=0.9
Probability of winning =0.9
Probability of losing=1-0.9=0.1
According to question
[tex]x(0.15)+0.30(1.15)+0.74(0.45)-3(0.1)=-1[/tex]
[tex]0.15x+0.378=-1[/tex]
[tex]0.15x=-1-0.378[/tex]
[tex]0.15x=-1.378[/tex]
[tex]x=-\frac{1.378}{0.15}=-9.19[/tex]
Hence, she spend money on each first prize=$9.19