Step-by-step explanation:
(5^-4/4^-6) multiplied by 5^3
4⁶×5³/5⁴
4⁶/5
819.2
Answer:
[tex]{ \tt{ (\frac{ {5}^{ - 4} }{ {4}^{ - 6} } ) \times {5}^{3} }} \\ \\ = { \tt{ \frac{ {5}^{ - 4} . {5}^{3} }{ {4}^{ - 6} } }} \\ \\ { \tt{ = \frac{ {5}^{ - 1} }{ {4}^{ - 6} } }} \\ { \tt{ = \frac{ {4}^{6} }{ {5}^{1} } }} \\ = { \tt{ \frac{4096}{5} }} \\ \\ = 819.2[/tex]
Mary took 8 tests in science and received the following scores: 87,60,76,92,63,91,88,75
Answers:
mean = 79mode = nonemedian = 81.5=================================================
Explanation:
To get the mean, you add up the numbers and then divide by n = 8, since there are 8 scores
Adding the scores gets us: 87+60+76+92+63+91+88+75 = 632
Divide that over n = 8 to get 632/n = 632/8 = 79
The mean is 79
You have the correct answer. Nice work.
---------------
The mode is the most frequent value.
In this data set, we don't have any repeated values. Each unique number is listed one time only. So that tells us we don't have a mode here.
---------------
To get the median, we need to sort the items from smallest to largest
{87,60,76,92,63,91,88,75} sorts to {60,63,75,76,87,88,91,92}
Because we have n = 8 values, which is an even number, this tells us that the median is between slot n/2 = 8/2 = 4 and slot 5
The values 76,87 are in slots four and five in that order. Add them up and divide by 2: (76+87)/2 = 163/2 = 81.5 is the median
I need help...........
Answer:
4
Step-by-step explanation:
Break down the shape into a rectangle and a triangle
To find the base of the triangle subtract
(3x-1)-(x+1)= 2x-2
which means the area of the triangle is
.5(2x-2)(x-1)= x²-2x+1
Let's then find the area of the rectangle
(x+1)(x-1)= x²-1
Take the sum and set this equal to 40
(x²-2x+1)+(x²-1)=40
simplify...
2x²-2x-40=0
x²-x-20=0
(x-5)(x+4)=0
Reject the negative answer and get x=5
Then it's just a matter of plugging in x=5 for the height (x-1)
5-1=4 which is the final answer
Answer:
4 cm.
Step-by-step explanation:
Area formulas:
A(Rectangle) = bh
A(Triangle) = 1/2bh
A(Trapezium) = A(Rectangle) + A(Triangle)
Use the information given and substitute the values to solve for the missing height:
A(Rectangle) + A(Triangle) = A(Trapezium)
bh + 1/2bh = 40
(x + 1)(x - 1) + 1/2(2x - 2)(x - 1) = 40
x² - 1 + x² - 2x + 1 = 40
2x² - 2x = 40
2x² - 2x - 40 = 0
Use Quadratic Formula to solve for x:
a = 2, b = -2, c = -40
x = (-b ± √(b² - 4ac))/2a
x = (-(-2) ± √((-2)² - 4(2)(-40)))/2(2)
x = (2 ± 18)/4
x = 5 and x = -4
Since we cannot have a negative height, we use x = 5:
h = (5) - 1 = 4
Therefore, the height of the trapezium is 4 cm.
PLEASE HELP QUICKLY LIKE IN THE NEXT 5 mins plz !!) The function MX) = -x - 4x + 5 is shown on the graph.
Which statement about the function is true?
12
(-2,9).
O The domain of the function is all real numbers less
than or equal to -2
O The domain of the function is all real numbers less
than or equal to 9
The range of the function is all real numbers less
than or equal to -2.
The range of the function is all real numbers less
than or equal to 9.
12
12
-10
Step-by-step explanation:
you did not show us the graph, and your problem description is a bit gibberish - I am sure there are some important parts missing.
therefore it is impossible to answer this.
During a sale, a store offered a 20% discount on a stereo system that originally sold for $320. After the sale, the discounted price of the stereo system was marked up by 20%.
Answer:
354 $ is correct
Step-by-step explanation:
your v id dead
seratus di tambah dua puluh berapa?
Answer:
120Step-by-step explanation:
▶️ Penyelesaian:
100
20 +
120 ✅
Answer:
what?
Step-by-step explanation:
Question 3 of 10
of the way from
What is the location of the point on the number line that is
A = 5 to B = 23?
O
A. 8
B. 9
C. 10
D. 7
Answer:
B. 9
Step-by-step explanation:
solve it and u will find out
A teacher has 40 learners in her class. She chooses 1% to clean her board. Is this possible?
Step-by-step explanation:
No, 1% of 40 is the same as 40% of 1. Which is 0.025% You cant have 0.025% of a learner or a human so this isn't possible.
Find the ratio of sin (A)
Answer:
sin (A) = 8/17
Step-by-step explanation:
Sine = opposite/hypotenuse
Sin (A) = 16/34
Sin (A) = 8/17
Answer:
sin (A) = 16/34
Step-by-step explanation:
SOH (sine = opposite/adjacent)
complete the table of values for y=2x+3
Toby ran a 10-kilometer race in
1 hours. Which point on the number
line represents his time?
Answer:
Point S
Step-by-step explanation:
Given that :
Time taken = 1 2/5 hours
Converting to decimal :
1 2/5 = 7/5 = 1.40 hours
From the number line, distance between each successive tick mark represents, 0.05 hours :
Hence, the point which depicts Toby's time on the number line is: point S
Given(a*b)*c=a*(b*c) what property does this represent
Answer:
The associative property allows us to change groupings of addition or multiplication and keep the same value. (a+b)+c = a+(b+c) and (a*b)*c = a*(b*c).
Step-by-step explanation:
in mathematics, either of two laws relating to number operations of addition and multiplication, stated symbolically: a + (b + c) = (a + b) + c, and a(bc) = (ab)c; that is, the terms or factors may be associated in any way desired.
Answer:
Associative
Step-by-step explanation:
Suppose that a randomly generated list of numbers from 0 to 9 is being used
to simulate an event that has a probability of success of 80%. Which of these
groups of numbers could represent a success?
A. 0, 1, 2, 3, 4, 5, 6, 7, 8
B. 0, 1, 2, 3, 4, 5
C.0, 1, 2, 3, 4, 5, 6, 7
D. 0, 1, 2, 3, 4, 5, 6
========================================================
Explanation:
There are 7 numbers in the set {1,2,...,6,7}. Then we add on 0 to get to the 8th number. So there are 8 numbers overall listed in bold above.
Since the sample space is {0,1,2,...,8,9}, we have 10 digits listed here. So the probability of success is 8/10 = 0.80 = 80%
Side note: The values 8 and 9 would represent a failure. We have 2 failures out of 10 so we get 2/10 = 0.20 = 20%
The groups of numbers could represent a success 80 percent is {0, 1, 2, 3, 4, 5, 6, 7}. Therefore, option C is the correct answer.
What is the probability?Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.
We know that, probability of an event = Number of favourable outcomes/Total number of outcomes.
Here, the sample space is {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}
To simulate an event that has a probability of success of 80%.
Now, 8/10 ×100
= 8×10
= 80%
Therefore, option C is the correct answer.
To learn more about the probability visit:
https://brainly.com/question/11234923.
#SPJ7
find the area of the circle use 3.14 for it d = 10 cm a = ? cm^2
NO TROLLS TY
Answer:
78.5 cm²
Step-by-step explanation:
GIVEN :-
Diameter of the circle (d) = 10 cmπ = 3.14TO FIND :-
Area of the circle (a)FORMULAES TO BE USED IN THIS QUESTION :-
[tex]Radius = \frac{Diameter}{2}[/tex][tex]Area = \pi \times (Radius)^2[/tex]SOLUTION :-
[tex]Radius\: (r) = \frac{Diameter}{2} = \frac{10}{2} = 5 cm[/tex]
[tex]=> Area = \pi r^2[/tex]
[tex]= 3.14 \times (5)^2[/tex]
[tex]= 3.14 \times 25[/tex]
[tex]= 78.5 \: cm^2[/tex]
Please help me lovee<3
how to find the area of triangle?
Answer:
[tex](i). \\ { \tt{area = 2(\frac{1}{2} \times base \times height}} )\\ = 4 \times 3 \\ = 12 \: sq \: units \\ \\ (iii). \\ = \frac{1}{2} \times 8 \times 6 \\ = 24 \: sq \: units \\ \\ (ii). \\ = \frac{1}{2} \times 12 \times 5 \\ = 30 \: sq \: units[/tex]
The length of the base of an isosceles triangle is x. The length of a leg is 3x−7. The perimeter of the triangle is 77. Find x.
In the right triangle shown in the diagram below,
what is the value of x to the nearest whole number?
Answer: (3) 21
Step-by-step explanation: 20.78 rounded to 21
!!I NEED AN ANSWER QUICKLY!!
Answer:
Step-by-step explanation:
Ans:A.
6×5÷2×11=165
Answer:
A
Step-by-step explanation:
The volume (V) of the tent is calculated as
V = Al ( A is the area of the triangular end and l is its length )
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )
Here b = 5 and h = 6 , so
A = [tex]\frac{1}{2}[/tex] × 5 × 6 = 15 ft² , then
V = 15 × 11 = 165 ft³ → A
Which of the following equations
has - 4 as a
as a possible value of p
Answer:
You need to add the eqautions
Step-by-step explanation:
The pair of triangles below have two corresponding parts marked as congruent. What additional information is
needed for a HL congruence correspondence?
A. ∠M≅∠H
B. LM≅JK
C. LM≅JH
D. LN≅JK
(there is a line above the letters besides a)
Answer:
C. LM ≅ JH
Step-by-step explanation:
The criteria that needs to be satisfied before two right triangles can be said to be congruent to each other is by the Hypotenuse-Leg Theorem are:
1. Both must have a corresponding leg that are congruent to each other.
In the diagram given above, NM is congruent to KH. They are corresponding legs that are congruent.
2. The hypotenuse of one triangle must be equal to that of the other.
We are not given if the hypotenuse of one, LM is congruent to the hypotenuse of the other, JH.
Therefore, the additional information required would be:
LM ≅ JH
Adam builds model rockets. Where he lives, his backyard is 12 feet below sea level. When he ignites his rocket, it flies a maximum of 350 feet straight up into the air before releasing its parachute. What is the altitude of Adam’s rocket at its highest point, as measured from sea level
Answer:
338 feet
Step-by-step explanation:
350 - 12 = 338
My son wants to celebrate his birthday at the bowling alley with a few of his friends. He has $70 to spend. The bowling alley charges a flat fee of $40 for a private party and $4.50 per person for shoe rentals and unlimited bowling.
The maximum number of people he can pay for at the bowling alley is __.
Answer: he can pay for 6 people total (including him)
Step-by-step explanation:
first lets subtract the flat fee from the total amount of money he has
70 - 40 = 30
now lets divide 30 by $4.50 to see how many people he can pay for
30 / $4.50 = about 6.5
obviously you cant pay for half a person so he can invite 5 people (he also has to pay for himself)
Answer:
6 people
Step-by-step explanation:
What additional information could be used to prove AABC = AMQR using SAS? Select two options.
Answer:
To prove that ΔABC ≅ ΔMQR using SAS, we show that two sides with the intersection angle are congruent. From the diagram, it is shown that CA is congruent to RM. From the first option, given that m∠A = 64° and AB = MQ = 31 cm, then we have CA = RM, AB = MQ, and CAB = RMQ (i.e. m∠A = m∠M = 64°).
cept WHP
There is a line whose y-intercept is -2 and whose slope is 10. What is its equation in
slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
y =
help me..........
only 12......
Answer:
Step-by-step explanation:
Step-by-step explanation:
the answer is in the image above
Which statement about the angles in the figure is true?
mZ3+ m25 = 180°
mZ1 + m28 = 90°
m28+ m29 = 90°
m27 +mZ10 = 180°
Answer:
the second one
Step-by-step explanation:
its the sum oh 90
Someone plss help me on this one too!
Thanks :)
Answer: 30%
Step-by-step explanation:
Helppppppppp meeeeeeeeeeeeeeee
Answer:
x = 16
Step-by-step explanation:
(5x + 14)° + (x + 19)° + (2x + 19)° = 180°
8x + 52 = 180
8x = 128
x = 16
Bal Bharti Vidyalaya is located in the Karauli district of Rajasthan. The school decided to go for a plantation drive for 2 days on the occasion of Vanmahotsava. The Principal of the Vidyalaya asked the forest department to provide plants. It was decided that each student has to plant an equal number of trees on both days. On the first day, all the participants planted 5 trees each. The number of boys and girls who participated was in the ratio 5:4. (i) If the number of trees planted by the students on the first day was 5400, how many boys participated? [1] (ii) Find the total number of students who participated in this program? [1] (iii) If the total number of trees planted on the second day was 7560, then how many trees were planted by each one of them
Answer:
i). 600 Boys
ii). 1080 Students
iii). 7 Trees each students On Second day
Step-by-step explanation:
According to the Question,
Given, Bal Bharti Vidyalaya is located in the Karauli district of Rajasthan. The school decided to go for a plantation drive for 2 days on the occasion of Vanmahotsava. The Principal of the Vidyalaya asked the forest department to provide plants. It was decided that each student has to plant an equal number of trees on both days. On the first day, all the participants planted 5 trees each. .The number of boys and girls who participated was in the ratio of 5x:4x.i). If the number of trees planted by the students on the first day was 5400.
We Know, Each Student Has Planted 5 Plants on First day So, Girls And Boys Ratio are 5x : 4x , Thus Total Students Are 9x .NOw, This 9x Planted 9x × 5 ⇒ 45x Trees on First Day.
45x = 5400 ⇔ x=120
So, The Number Of Boys Are 5x = 5 * 120 ⇒ 600Boys
And, The Number of Girls Are 4x = 4 * 120 ⇒ 480Girls
ii). the total number of students who participated in this program is 600 boys + 480 Girls = 1080 Students.
iii). If the total number of trees planted on the second day was 7560. We Know Every Student Plant Equal Number Of trees on each day.
So, 1080 Students Planted 7560 Plants
Therefor, each Student Planted 7560/1080 = 7 Trees Each On Second day.
find the Hcf of 15 30 90
Answer:
15=3*5
30=5*6
90=5*3*5*2*3
So, HCF=15
Step-by-step explanation:
Hope it helps
Step-by-step explanation:
Hey there!
HCF stands for highest common factor. When you are asked about to find the HCF of any number find the factors and take common from all the factors of the numbers.
The given numbers are: 15,30,90.
15 = 3*5
30 = 2*3*5
90 = 2*3*3*5
Now, from the above solutions take all the common factors.
From the factors of all three numbers, 3*5 are common.
Therefore, the HCF of the numbers is 3*5 = 15.
Hope it helps!