Answer:
No because one side is 8 and the other is 18
Step-by-step explanation:
2. The time, t, for am ice cube to melt. is inversely proportional to the temperature, T, of the water the ice cube is placed. If it takes an ice cube 2 minutes to melt in 750F water, how long will it take an ice cube of the same size to melt in 800F water?
Answer:
21 mins
Step-by-step explanation:
9+10=21
Does anyone know this answer ?
Martha will build a pool in her backyard. She wants the pool to have a rectangular shape
and to be five meters long and three meters wide. What would the area in Martha's backyard that will be lost due to the construction of the pool? There are 3.28084 feet in
one meter.
A 15 square feet
B 80.729 square feet
C 161.459 square feet
D 322.918 square feet
9514 1404 393
Answer:
C. 161.459 square feet
Step-by-step explanation:
In feet, the dimensions of the pool are ...
(5 m)(3.28084 ft/m) = 16.4042 ft
(3 m)(3.28084 ft/m) = 9.84252 ft
Then the area of the pool is ...
(16.4042 ft)(9.84252 ft) = 161.458666584 square feet
about 161.459 square feet
_____
Additional comment
If you consider that a square meter is slightly less than 11 square feet, the pool area can be estimated to be (5 m)(3 m)(11 ft²/m²) = 165 ft². This is close enough to point you to the correct answer choice.
8 miles is approximately 6 kilometers. How many kilometers is equal to 40 miles?
Answer:
30 kilometers
Step-by-step explanation:
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).
Need quickly please help!
=======================================================
Work Shown:
We use the intersecting chords theorem
(AH)*(HG) = (FH)*(HB)
(x-2)*(x+7) = (2x-1)*(4)
x*(x+7) - 2(x+7) = 4(2x-1)
x^2+7x - 2x - 14 = 8x - 4
x^2 + 7x - 2x - 14 - 8x + 4 = 0
x^2 - 3x - 10 = 0
(x - 5)(x + 2) = 0
x-5 = 0 or x+2 = 0
x = 5 or x = -2
If x = -2, then AH = x-2 = -2-2 = -4, but having a negative segment length is not possible. Lengths must be positive. So we ignore x = -2
If x = 5, then we find the following lengths
AH = x-2 = 5-2 = 3HG = x+7 = 5+7 = 12FH = 2x-1 = 2*5-1 = 9Then note how AH*HG = 3*12 = 36 while FH*HB = 9*4 = 36. This confirms that (AH)*(HG) = (FH)*(HB) is a true equation and confirms we have the correct x value.
a school has 300boys.if this is 60% of the total no. of pupils in the school, how many girls are there in the school?
Answer:
240
Step-by-step explanation:
if that is 60 percent that means that if you times 600 by 40 percent that should get you your awnser
Find the equation of the line.
Use exact numbers.
y = X+
Answer:
y=-1/3x-6.. .. .. .. .. ..
How are these three numbers related. 50 1/2, 1/4, 202
Answer: If you divide 202/4=50.5 or 50 1/2
Step-by-step explanation:
Lisa ran 3 1/2 miles in 21 minutes at that rate how long will it take her to run 5 miles
Answer:30
Step-by-step explanation: please
Lisa take approximately 30 minutes(time) to run 5 miles at the same rate she ran 3 1/2 miles in 21 minutes.
To find out how long it will take Lisa to run 5 miles at the same rate, we can set up a proportion using the distance and time data.
Let's denote the time it will take her to run 5 miles as "t" (in minutes).
The proportion can be set up as follows:
(3.5 miles) / (21 minutes) = (5 miles) / (t minutes)
Now, cross-multiply and solve for "t":
3.5 × t = 21 × 5
3.5t = 105
Divide both sides by 3.5 to isolate "t":
t = 105 / 3.5
t = 30
So, it will take Lisa approximately 30 minutes to run 5 miles at the same rate she ran 3 1/2 miles in 21 minutes.
To know more about distance
https://brainly.com/question/26550516
#SPJ2
5 (a) Write the ratio 15:35 in its simplest form.
Answer:
Step-by-step explanation:
5 is a factor of 15 and 35
15:35 = 3:7
The Maine Public Health Department reported that there have been 90 flu cases requiring hospitalization in Portland, ME (population of 70,000) since the beginning of 2018 - today is July 4th, 2018. On February 1st, 2018, 43 of those cases were hospitalized. What was the prevalence rate of flu cases requiring hospitalization thus far in 2018?
Answer:
The prevalence rate of flu cases requiring hospitalization thus far in 2018 is:
= 0.13%
Step-by-step explanation:
a) Data and Calculations:
Population of Portland, ME = 70,000
Number of flu cases requiring hospitalization on February 1st, 2018 = 43
Number of flu cases requiring hospitalization on July 4th, 2018 = 90
The prevalence rate of flu cases requiring hospitalization thus far in 2018 = 90/70,000 * 100 = 0.13%
b) The prevalence rate represents the proportion of the population of Portland, ME, who have the flu at the time that the Maine Public Health Department reported the number of flu cases requiring hospitalization on July 4th, 2018.
Help with all 3 ASAP
Answer:
The second one is right
The third one is wrong.
If the exchange rate of US dollar to Naira is 1:70, what's the value of $1.50 in Naira?
Answer:
$1.50 is 105 Naira
Step-by-step explanation:
If the exchange rate is 1:70, that means that in order to get the amount of Naira equal to some amount of US dollars, you would multiply the number of US dollars by 70. And so we get...
1.5 x 70 = 105 (Naira)
Answer:
105 Naira
Step-by-step explanation:
Please see the attached image.
I hope this helps!
A rectangle is 5.1 cm wide and each diagonal is 9.3 cm long. What is the measure of the angle between a diagonal and the shorter side of the rectangle to the nearest tenth of a degree?
Answer:
56.7°
Step-by-step explanation:
A rectangle is 5.1 cm wide and each diagonal is 9.3 cm long. What is the measure of the angle between a diagonal and the shorter side of the rectangle to the nearest tenth of a degree?
We solve this question using the Trigonometric function of Sine
From the question, we are told that:
A rectangle is 5.1 cm wide
and each diagonal is 9.3 cm long.
Since we have a diagonal, this means the shape is transformed to a triangle.
The width of the rectangle = Adjacent side of a triangle = 5.1cm
The diagonal of the rectangle = Hypotenuse = 9.3cm
Hence,
cosθ = Adjacent/Hypotenuse
cosθ = 5.1/9.3
cosθ = 0.5483870968
θ = arccos(0.5483870968)
θ = 56.743568714°
Approximately = 56.7°
The measure of the angle is 56.7°
Solve for "T" in the following formula: P= NRT/V
Answer:
T = PV / NR
Step-by-step explanation:
Change 8.94 into a fraction
Answer:
447 / 50
Step-by-step explanation:
447 / 50 Because if you divide it you will get 8.94 same answer
Answer:
inproper fraction would be 447/50 but the proper fraction would be 8 47/50
We form three groups 1, 2 and 3 using 8 red balls and 18 blue balls such that (a) all balls must be used; (b) each group must have at least one red ball and one blue ball; (c) there are strictly more blue balls than red balls in each of the three groups. How many different combinations are there
Answer:
{b}
Step-by-step explanation:
This probability distribution shows the typical grade distribution for a Geometry course with 35 students. HELLLPPP PLSSS
Answer:
P(A, B or C) = 6/7 or 0.8571
Step-by-step explanation:
From the image, we have the frequency for each grade as;
Grade A = 5
Grade B = 10
Grade C = 15
Grade D = 3
Grade F = 2
We want to find the probability that a student earns a grade of A, B or C.
Total frequency for A, B & C = 5 + 10 + 15 = 30
There are a total of 35 students overall for the geometry course.
Thus;
P(A, B or C) = 30/35
P(A, B or C) = 6/7 or 0.8571
Answer:
0.86Step-by-step explanation:
Total frequency for A, B & C = 5 + 10 + 15 = 30
There are a total of 35 students overall for the geometry course.
P(A, B or C) = 30/35
P(A, B or C) = 6/7 or 0.8571
now we round to the hundredths place
0.8571 ⇒ 0.86
12. How much more energy is released by an earthquake with a magnitude of 8.0
on the moment magnitude scale than one with a 6.0 magnitude?
A 32 times more
B 64 times more
c 2 times more
D. 20 times more
Answer:
Lets conside the order of magnitudeWe have a different of 8.0- 6.0=2.0 An 8 magnitude has 63.09 ×10^15 joules A 6 magnitude has 63.09×10^12 J Which is 1000 times more energy Your answer choices are incorrect I do quizzes and exams if your interestedGiven: E is the midpoint of DF.
Prove: DE = 23
Answer:
DE=23
Step-by-step explanation:
Since E is the midpoint of DF, we know that DE and EF are equal. Thus, we can set them equal to eachother and solve.
8x-1=6x+5
2x=6
x=3
After that, plug 3 back into DE.
6(3)+5= DE
18+5= DE
23=DE
Sam puts $500 in the bank and does not put any more money in or take any out for elght years. He receives 6% Interest
yearly, compounded semi-annually. How much money will be in the account after elght years?
O $793.44
$796.92
O $800.52
O $802.36
Answer:
$793.44
Step-by-step explanation:
I want to withdraw 400.00 for 9 years at 8%. How much do I need to deposit
Answer:
The principal investment required to get a total amount, principal plus interest, of $400.00 from simple interest at a rate of 8% per year for 9 years is $232.56.
Step-by-step explanation:
Given
Total accrued Amount A = 400.00 (Let say $)Time period t = 9 yearsInterest rate r = 8% = 0.08To determine
Principle P = ?
Using the formula
P = A / (1 + rt)
substituting A = 400.00, t = 9 and r = 0.08 in the formula
P = 400 / ( 1 + (0.08 × 9))
P = $232.56
Therefore, the principal investment required to get a total amount, principal plus interest, of $400.00 from simple interest at a rate of 8% per year for 9 years is $232.56.
QUESTION: Use the two way table below to answer the question: How
many chemical engineers chose science as their favorite subject? *
The table shows the results of a survey about what the engineers said their favorite subject was in middle school
Answer:
B.91
Step-by-step explanation:
Because it says so on the table.
Find 47.5% of 690 (remember this is a non calculator question)
Answer:
327.75
Step-by-step explanation:
calcule:(-2)⁰+(-2)¹+(-2)²+(-2)³
por favor
Answer:
-5
Step-by-step explanation:
This exercise illustrates that poor quality can affect schedules and costs. A manufacturing process has 90 customer orders to fill. Each order requires one component part that is purchased from a supplier. However, typically, 3% of the components are identified as defective, and the components can be assumed to be independent.
Required:
a. If the manufacturer stocks 90 components, what is the probability that the 90 orders can be filled without reordering components?
b. If the manufacturer stocks 102 components, what is the probability that the 100 orders can be filled without reordering components?
c. If the manufacturer stocks 105 components, what is the probability that the 100 orders can be filled without reordering components?
Answer:
a) 0.0645 = 6.45% probability that the 90 orders can be filled without reordering components.
b) 0.4062 = 40.62% probability that the 100 orders can be filled without reordering components.
c) 0.9034 = 90.34% probability that the 100 orders can be filled without reordering components
Step-by-step explanation:
For each component, there are only two possible outcomes. Either it is defective, or it is not. The components can be assumed to be independent. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
3% of the components are identified as defective
This means that [tex]p = 0.03[/tex]
a. If the manufacturer stocks 90 components, what is the probability that the 90 orders can be filled without reordering components?
0 defective in a set of 90, which is [tex]P(X = 0)[/tex] when [tex]n = 90[/tex]. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{90,0}.(0.03)^{0}.(0.97)^{90} = 0.0645[/tex]
0.0645 = 6.45% probability that the 90 orders can be filled without reordering components.
b. If the manufacturer stocks 102 components, what is the probability that the 100 orders can be filled without reordering components?
At most 102 - 100 = 2 defective in a set of 102, so [tex]P(X \leq 2)[/tex] when [tex]n = 102[/tex]
Then
[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{102,0}.(0.03)^{0}.(0.97)^{102} = 0.0447[/tex]
[tex]P(X = 1) = C_{102,0}.(0.03)^{1}.(0.97)^{101} = 0.1411[/tex]
[tex]P(X = 2) = C_{102,2}.(0.03)^{2}.(0.97)^{100} = 0.2204[/tex]
[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0447 + 0.1411 + 0.2204 = 0.4062[/tex]
0.4062 = 40.62% probability that the 100 orders can be filled without reordering components.
c. If the manufacturer stocks 105 components, what is the probability that the 100 orders can be filled without reordering components?
At most 105 - 100 = 5 defective in a set of 105, so [tex]P(X \leq 5)[/tex] when [tex]n = 105[/tex]
Then
[tex]P(X \leq 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{105,0}.(0.03)^{0}.(0.97)^{105} = 0.0408[/tex]
[tex]P(X = 1) = C_{105,0}.(0.03)^{1}.(0.97)^{104} = 0.1326[/tex]
[tex]P(X = 2) = C_{105,2}.(0.03)^{2}.(0.97)^{103} = 0.2133[/tex]
[tex]P(X = 3) = C_{105,3}.(0.03)^{3}.(0.97)^{102} = 0.2265[/tex]
[tex]P(X = 4) = C_{105,4}.(0.03)^{4}.(0.97)^{101} = 0.1786[/tex]
[tex]P(X = 5) = C_{105,5}.(0.03)^{5}.(0.97)^{100} = 0.1116[/tex]
[tex]P(X \leq 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) = 0.0408 + 0.1326 + 0.2133 + 0.2265 + 0.1786 + 0.1116 = 0.9034[/tex]
0.9034 = 90.34% probability that the 100 orders can be filled without reordering components
If m∠4 = 101.9°, find each of the following in degrees.
(a) m∠5
(b) m∠8
Answer:
m<5=101.9 m<8=101.9
Step-by-step explanation:
alternate interior and vertical angles
Answer:
(a) m∠5=<4[alternate angle]=101.9°,
(b) m∠8=<5[vertically opposite angle]=101.9°,
jannete has 326 pennies, 64 nickles, and 15 dimes. if she has to exchange her coins for dollars how many dollars will she have ? how many cents will remain?
Answer:
She will have 7 dollars, with 96 cents remaining.
Step-by-step explanation:
326 pennies is $3.26
64 nickels is $3.20
15 dimes is $1.50
Add them all;
$3.26 + $3.20 + $1.50 = $7.96
She will have 7 dollars, with 96 cents remaining
Nicole can buy 3 pounds of Luce suppose an orchard for $4.95 or she can buy a 25 ounce bag of apples from the store for $3.79 which is the better deal?
9514 1404 393
Answer:
orchard apples are lower-cost
Step-by-step explanation:
3 pounds is 48 ounces, so the equivalent to the store offering might be about 24 ounces for $4.95/2 ≈ $2.48.
This is substantially less cost per ounce than 25 ounces for $3.79. (24 and 25 are very near, but $2.48 and $3.79 are not.)
Orchard apples are the better deal.