Answer:
Your average speed must be 90 mph in the remaining distance in order to have overall average speed of 60 mph
Step-by-step explanation:
The rule of distance is d = v × t, where
v is the average speedt is the time∵ You wish to average 60 mph on a drive from your home to town
∵ The distance from your home to town is 78 miles
→ Find the time of your journey using the rule above
∴ 78 = 60 × t
→ Divide both sides by 60
∴ [tex]\frac{78}{60}[/tex] = t
∴ t = [tex]\frac{13}{10}[/tex] hours
∵ You have averaged only 45 mph in the first 39 miles (half way)
∴ v1 = 45 mph
∴ d1 = 39 miles
→ Find the time of this part
∴ 39 = 45 × t1
→ Divide both sides by 45
∴ [tex]\frac{39}{45}[/tex] = t1
∴ t1 = [tex]\frac{13}{15}[/tex] hour
→ Subtract the time of the first part from the time of the journey to
find the time for the second part
∵ t2 = t - t1
∴ t2 = [tex]\frac{13}{10}[/tex] - [tex]\frac{13}{15}[/tex]
∴ t2 = [tex]\frac{13}{30}[/tex] hour
→ Now let us find the average speed of the second part of his journey
∵ d2 = 39 miles ⇒ (78 - 39)
∵ t2 = [tex]\frac{13}{30}[/tex] hour
∴ 39 = v2 × [tex]\frac{13}{30}[/tex]
→ Divide both sides by [tex]\frac{13}{30}[/tex]
∴ 39 ÷ [tex]\frac{13}{30}[/tex] = v2
∴ 90 = v2
∴ v2 = 90 mph
∴ Your average speed must be 90 mph in the remaining distance in
order to have overall average speed of 60 mph
Al changes saved
4. Ten students in your class put their names on slips of paper inside a box. Out of the ten students, four
are girls, and six are boys. Five names are chosen.
What is the probability that three girls and two boys are chosen?
O 7.14%
350%
O 1.90%
O 23.81%
Answer:
1.90 percent
Step-by-step explanation:
Evaluate each expression for s=4 and t=8
1) (25)^2t
2) 2st^2-5^2
3) 2s^2-t^3/16
Answer:
1. 2.328×[tex]10^{22}[/tex]
2. 487
3. 30.52 OR 0 (see explanation↓)
Step-by-step explanation:
1.[tex](25)^{2t}[/tex]
(sub for t=8)
=[tex]25^{2*8}[/tex]
=[tex]25^{16}[/tex]
=2.328×[tex]10^{22}[/tex]
2.[tex]2st^{2} -5^{2}[/tex]
(sub for s=4 and t=8)
=2×4×[tex]8^{2}[/tex]-[tex]5^{2}[/tex]
=512-25
=487
3.[tex]2s^{2} -t^{3/16}[/tex] (the equation is not clear so I will do [tex]2s^{2} -\frac{t^{3} }{16}[/tex] as well)
FOR [tex]2s^{2} -t^{3/16}[/tex]
(sub s=4 and t=8)
=2×[tex]4^{2}[/tex]-[tex]8^{3/16}[/tex]
=32-1.476826146
=30.52 (to the nearest 2 decimal place)
FOR [tex]2s^{2} -\frac{t^{3} }{16}[/tex]
(sub s=4 and t=8)
=2×[tex]4^{2}[/tex]-[tex]\frac{8^{3} }{16}[/tex]
=32-32
=0
I need help asap! Ill make you brainiest if answer
Answer:
43
Step-by-step explanation:
5 × 3 - 7 × -4 =
15 - - 28 =
15 + 28 = 43
Answer:
43
Step-by-step explanation:
5a - 7b if a = 3 and b = -4
= 5(3) - 7(-4)
= 15 - -28
= 15+28
= 43
The constant of proportionality of this table is
Cups of
blue paint
cups of
yellow paint
2 10
1
Answer:
Step-by-step explanation:
1/2
Solve the proportion.
Thursday
Friday
Classes
6
Hours
8
4
Hellppppp it’s a testttt!
Ratio of number of classes and the time taken to conduct each one of them on Thursday = 6 : 8
Ratio of number of classes and the time taken to conduct each one of them on Friday = c : 4
Which means :-
6 : 8 :: c : 4
6/8 = c/4
= 6 × 4 = c × 8
= 24 = 3 × 8
c = 3
The ratio = 6 : 8 :: 3 : 4
Which means that C = 3 .
10) A triangle is shown above. Glo Metri claims that the Pythagorean Theorem
can be used to solve for the missing side length x. Is Gio's claim correct? Why or
why not?
A. No, Gio's claim is incorrect because the Pythagorean theorem can only be used
when the side lengths of a triangle are square numbers.
B. No, Gio's claim is incorrect because the Pythagorean theorem can only be used
with a right triangle.
C. Yes, Gio's claim is correct because the Pythagorean theorem can be used to find
the missing side in any triangle.
D. Yes, Gio's claim is correct because the Pythagorean theorem can be used with any
triangle that is approximately right.
Answer:
B. No, Gio's claim is incorrect because the Pythagorean theorem can only be used
with a right triangle.
Step-by-step explanation:
The pythagorean theorem which is given as a² + b² = c², only applies to right triangles. Where, c is the hypotenuse side length that is opposite to the right angle of the triangle, while a and b are the two other legs of the right triangle.
The triangle given above is not a right angle. The measure of the missing length = 180 - (60 + 40) = 80°.
A right ∆ has an angle measure of 90°. Therefore, the pythagorean theorem cannot be applied in this case to solve for the missing side length, x.
So, Gio's claim is INCORRECT.
Find the surface area of a right cone with a diameter of 6 inches and a slant height of 5 inches.
Answer:
about 172.82
Step-by-step explanation:
Answer:
83.23
Step-by-step explanation:
to work out surface area of a right cone u
A=πr(r+h2+r2)
hope this helps
im not sure if its right tho
· At what point does the value of f(x) exceed the value of g(x) if
f(x)=200(1.194) and g(x) = 8x + 225? Justify your answer with a graph.
Someone help I’m dying
Step-by-step explanation:
hope this helps, good Luck xD.
Does this set of ordered pairs represent a function? Why or why not? -1,5), (0, -3), (2, 7), (4,0), (7, 5)) A. No, because two of the y-values are the same. OB. Yes, because there are two xvalues that are the same. OC. Yes, because every xvalue corresponds to exactly one yvalue D. No, because one xvalue corresponds to two different values.
Answer:
C.
Step-by-step explanation:
All the x-values are different and go to one y-value.
Yes this set of ordered pairs represent a function because every x value corresponds to exactly one y value
What are ordered pairs in sets?A function f from a set A to a set B is a set of ordered pairs {(x, y)} such that x in the set A and y is the in the B. For every x ∈ A there is exactly one y ∈ B such that (x, y) is an ordered pair in f. We call this element f(x). We call A the domain and we call B the range.
How do you determine if a set of ordered pairs are functions?A function is a set of ordered pairs in which no two different ordered pairs have the same x -coordinate. An equation that produces such a set of ordered pairs defines a function.
According to the question
Set of ordered pairs represent a function :
(-1,5), (0, -3), (2, 7), (4,0), (7, 5)
As we can observe that every point have different x value for there respective y ,
and A function is a set of ordered pairs in which no two different ordered pairs have the same x -coordinate.
Hence, Yes, this set of ordered pairs represent a function because every x value corresponds to exactly one y value
To know more about ordered pairs in sets here:
https://brainly.com/question/12941484
#SPJ2
3/4x-4=5/6
Rewrite so it doesn’t have any fraction
I NEED HELP PLEASE AND SHOW THE WORK PLEASE
Answer:
6. x = 28 degrees
7. z = 1.6 cm
Step-by-step explanation:
6.
Notice that you can use the property that tells us that the addition of all internal angles of a triangle must give 180 degrees, then you write the following equation:
50 + 69 + (2 x +5) = 180
combine like terms:
119 + 2 x + 5 = 180
124 + 2 x = 180
subtract 124 from both sides:
2 x = 56
divide by 2 both sides:
x = 56 / 2
x = 28 degrees
Problem 7.
If the two triangles are congruent, then the side MN must equal side RS.
Since MN measure 1,8 cm, then RS must also measure 1.8 cm
and we can write the equation:
1.8 = 3 z - 3
adding 3 to both sides:
1.8 + 3 = 3 z
4.8 = 3 z
dividing both sides by 3:
z = 4.8 / 3
z = 1.6 cm
Mai says that -8 > -4 . Do you agree with her? Explain or show your reasoning.
Answer:
No
Step-by-step explanation:
-8 is less than -4. Negative numbers reverse the logic of positive ones: since positive 8 is more than positive 4, negative 8 is less than negative 4.
A die is rolled thrice. What is the probability that the sum of
the rolls
rolls is atleast 5
Answer:
1 out of 6
Step-by-step explanation:
no matter how many times you roll it the chances will always be the same
Answer:
there is a 1/6 chance
Step-by-step explanation:
there are 216 total combinations but only 36 combinations that end in 5.
36/216 = 1/6.
Hope this helps!
A vaccine is 95 percent effective. What is the probability that it is not effective for more than 1 out of 20 individuals?
Answer:
The probability that the vaccine is not effective in more than 1 of the 20 individuals is equal to:
P = 1 - P(1) - P(0)
Where:
P(1) = probability that the vaccine is not effective in one individual
P(0) = probability that the vaccine is not effective in 0 individuals.
The probability that the vaccine is effective is 0.95
Then the probability that the vaccine is not effective is 0.05.
Then to calculate P(1), suppose that the vaccine is not effective in the first case and then is effective 19 times, this is:
p(1) = (0.05^1)*(0.95^19)
But this only for one case, we have 20 possible permutations (the vaccine is not effective in the first case, the second case, third case, etc)
Then the actual probability is:
P(1) = 20*((0.05^1)*(0.95^19)) = 0.377
And P(0) is easy to compute:
P(0) = (0.05^0)*(0.95^20) = 0.358
And here we have only one possible permutation, so we do not worry about that.
Then P = 1 - P(1) - P(0) = 1 - 0.377 - 0.358 = 0.265
This means that the probability that the vaccine is not effective in more than one individual is of 0.265 (or 26.5% in percentage form)
twice a number is three more than nine
Answer:
6
Step-by-step explanation:
Let that number be x.
[tex]2x = 9 + 3[/tex]
[tex]2x = 12[/tex]
[tex]x = 6[/tex]
What is the slope of the line represented by the equation 2x + 3y= -12. (A)- 3/2. (B)-2/3. (C) 2/3. (D) 3/2
Answer:
-2/3
Step-by-step explanation:
Here, we need to rearrange the equation into slope intercept form:
[tex]2x + 3y = -12[/tex]
subtract 2x on both sides:
[tex]3y = -2x-12[/tex]
divide 3 on both sides:
[tex]y = \frac{-2}{3} x + 4[/tex]
Finally, we get it in the form y = mx + b. We know that in that form, m is the slope so that means, the slope is -2/3
name the type of triangle of a b is equal to BC BC is equals to see a is equals to 6 CM
Given ,
AB = BC
BC = CA
CA = 6 cm
This is an equilateral triangle as the first side is equal to the second side and the third side is equal to the second side which is equal to the first side . As all the sides are equal to 6 cm , this triangle is said to be an equilateral triangle .
∴ Triangle ABC is an equilateral triangle , where :- AB = BC = CA = 6 cm .
Convert the measurement:
3 inches to centimeters
O 7.00 cm
0 2.78 cm
O 8.21 cm
O 7.62 cm
Step-by-step explanation:
ans is 7.62
1 inch =2.54cm
2.54 multiplied by 3=7.62
4 1/8÷2 3/4 convert the mixed numbers to improper fractions
Answer:
Check picture
Step-by-step explanation:
9514 1404 393
Answer:
1 1/2
Step-by-step explanation:
[tex]\dfrac{4\dfrac{1}{8}}{2\dfrac{3}{4}}=\dfrac{\left(\dfrac{4\cdot8+1}{8}\right)}{\left(\dfrac{2\cdot4+3}{4}\right)}=\dfrac{\left(\dfrac{33}{8}\right)}{\left(\dfrac{11}{4}\right)}=\dfrac{\left(\dfrac{33}{8}\right)}{\left(\dfrac{22}{8}\right)}=\dfrac{33}{22}=\dfrac{3}{2}[/tex]
Then the improper fraction 3/2 can be written as the mixed number 1 1/2.
(4 1/8) / (2 3/4) = 1 1/2
_____
Comment on division of fractions
Fractions can be divided several ways. Two ways that are commonly taught are "invert and multiply", or "match denominators". Here, we have used the second of these methods.
If we were to "invert and multiply", the computation would be ...
(33/8)(4/11) = (33/11)(4/8) = 3(1/2) = 3/2
Instead, we multiplied 11/4 by 2/2 to make it be 22/8, so having a denominator of 8 matching that of the numerator. Then the value of the compound fraction is the ratio of the numerators:
(33/8)/(22/8) = 33/22 = (3/2)(11/11) = 3/2
PLEASEEEEEE HELPPPP!!!!
3)9.375 and 12 is )37.5
this is the last question i need help on! i will mark brainlessttt :)thanks
Answer:
A.3
Step-by-step explanation:
Since the lines are parallel that angle is 90 same as the other. So you plug in all your answers to see with one gives you 90 that being 3 because 30(3)=90.
what is the slope of this line -1/3, -2/3,2/3,1/3
Answer:
(-5,9),(3,0)
(0,1),(1,0)
(1,2),(3,4)
Step-by-step explanation:
I hope this helps!
Answer: It's 2/3
Step-by-step explanation:
What’re these two problems simplified?
Step-by-step explanation:
-2(3x-12)+4-13
=-6x+24+4-13=-7x-15
=6x-15
4(5x-1)+8x-20=20x-4+8x-20
=28x-24
So this is ur solution.
But if u wnt to solve these eq. together thn it will be:-
6x-15=28x-24
6x-28x=-24+15
-22x=-9
x=22/9=2.44
Hope u like it.
Answer:
-8+9 is problem one
Step-by-st-ep explanation:
Jernardia is running a 5-kilometer race at a constant pace. After running for 20 minutes, she completes 4 kilometers. After running for 30 minutes, she
completes 5 kilometers. Her trainer writes an equation letting t, the time in minutes, represent the independent variable and k, the number of kilometers,
represent the dependent variable.
Which equation can be used to represent k, the number of kilometers Jerardia runs in t minutes?
Oy-5= 1(x - 30)
O y-30 = 10 (x - 5)
Oy-30 = -10 (x - 5)
Oy-30 = 0.1 (x - 5)
Answer:
oy-5=1 ( x-30)
Step-by-step explanation:
jernardia is dumb as heck
Write an inequality representing the following phrase:
One-tenth of a number h is less than or equal to ten
Answer:
[tex]\frac{1}{10} h\leq 10[/tex]
Step-by-step explanation:
Basically, we are just translating the phrase into an algebraic expression.
A person with a height of 2 meters stand near a tree. The tree casts a shadow that is 30 meters long and the person has a shadow that is 3
meters long. What is the height of tree
9514 1404 393
Answer:
20 m
Step-by-step explanation:
The 30 m shadow of the tree is 10 times the 3 m length of the person's shadow. We expect the tree to be 10 times as tall as the person:
10(2 m) = 20 m . . . height of the tree
if m<2 = 115 degrees what is m<1 ? (There you go)
Answer:
65
Step-by-step explanation:
180 - 115 = 65
This is the easiest way to think about and do it but your teacher might want you to do it a different way.
Answer:
65
Step-by-step explanation:
How do you do these 2 questions?
Answer:
0 ≤ an ≤ bn
The series ∑₁°° bn converges
The series ∑₁°° an converges by comparison to ∑₁°° bn.
0 ≤ an ≤ bn
The series ∑₁°° bn diverges
The comparison test is inconclusive for our choice of bn.
Step-by-step explanation:
an = 1 / (n² + n + 3) and bn = 1 / n²
The numerators are the same, and the denominator of an is greater than the denominator of bn. So 0 ≤ an ≤ bn.
bn is a p series with p > 1, so it converges.
Since the larger function converges, the smaller function also converges.
an = (3n − 1) / (6n² + 2n + 1) and bn = 1 / (2n)
If we rewrite bn as bn = (3n − 1) / (6n² − 2n), we can tell that when the numerators are equal, the denominator of an is greater than the denominator of bn. So 0 ≤ an ≤ bn.
bn is a p series with p = 1, so it diverges.
The larger function diverges. We cannot conclude whether the smaller function converges or diverges.
Se deseneaza o dereapta si pe ea trei puncte A,B si C astfel incat C se afla intre A si B. Atunci numarul unghiurilor improprii distincte determinate de cele trei puncte este egal cu ? CAT MAI RAPID VA ROG!
What are the slopes of the perpendicular lines?
1: y=-5/2x-8
2: y=5x
3: y=3x-8
Answer:
1. 2/5
2. -1/5
3. -1/3
Step-by-step explanation:
the parpendicular slope is found by taking the original slope and finding the opposite reciprocal. so just flip the slope and make it the opposite sign
-5/2 ---> 2/5
+5/1 ---> -1/5
+3/1 ---> -1/3