Answer:
-46
Step-by-step explanation:
when a= 6 and ×=-5
-a + 8×= -6+8×-5
= -6+(-40)= -6-40= -46
(17a ^ 3 * b ^ 2)/(15b ^ 3 * c ^ 2) * (18b ^ 4 * c ^ 3)/(8a ^ 2 * b * c ^ 2) =
Answer: (51ab^2)/(20c)
STEP
1
:
Equation at the end of step 1
((17•(a3))•(b2)) ((18•(b4))•(c3))
————————————————•————————————————
((15•(b3))•(c2)) ((23a2•b)•c2)
STEP
2
:
Equation at the end of step
2
:
((17•(a3))•(b2)) ((2•32b4)•c3)
————————————————•—————————————
((15•(b3))•(c2)) 23a2bc2
STEP
3
:
(2•32b4c3)
Simplify ——————————
23a2bc2
Dividing exponential expressions :
3.1 b4 divided by b1 = b(4 - 1) = b3
Dividing exponential expressions :
3.2 c3 divided by c2 = c(3 - 2) = c1 = c
Dividing exponents:
3.3 21 divided by 23 = 2(1 - 3) = 2(-2) = 1/22
Equation at the end of step
3
:
((17•(a3))•(b2)) 9b3c
————————————————•————
((15•(b3))•(c2)) 4a2
STEP
4
:
Equation at the end of step
4
:
((17•(a3))•(b2)) 9b3c
————————————————•————
((3•5b3)•c2) 4a2
STEP
5
:
Equation at the end of step
5
:
(17a3 • b2) 9b3c
——————————— • ————
(3•5b3c2) 4a2
STEP
6
:
17a3b2
Simplify —————————
(3•5b3c2)
Dividing exponential expressions :
6.1 b2 divided by b3 = b(2 - 3) = b(-1) = 1/b1 = 1/b
Equation at the end of step
6
:
17a3 9b3c
————— • ————
15bc2 4a2
STEP
7
:
Dividing exponential expressions :
7.1 a3 divided by a2 = a(3 - 2) = a1 = a
Dividing exponential expressions :
7.2 b3 divided by b1 = b(3 - 1) = b2
Dividing exponential expressions :
7.3 c1 divided by c2 = c(1 - 2) = c(-1) = 1/c1 = 1/c
Final result :
51ab2
—————
20c
a picture on the walls jeremy's classroom has 4 right angles,4 sides of equal length,and 2 pairs of opposite sides that are parallel. what quadrilateral best describes the picture
Answer:
square
Step-by-step explanation:
A quadrilateral with four right angles will be a rectangle. A rectangle with sides of equal length is a square.
Jeremy's picture is a square.
Joanne earns $3,000 per month at her job at the department store. If her taxes are 28 percent of her pay, what is her monthly take-home pay?
mean of 39,82,74,96,64,52,74
Can someone help me do these i don't understand them?
Answer:
they are extension in computer
6. Kayla is planning to buy a new phone. Rongers charges $0 for down payment plus $127 monthly fee. Fidoll charges $363 for down payment plus $94 monthly fee.
a) When will the two plans charge the same amount (the same number of months for both plans)?
b) If both plans are contracted for 2 years (24 months), which plan would you recommend to Kayla? Explain.
The two plans charge the same amount in 11 months.
The plan I would recommend if the plans are contracted for two months is the Fidoll plan.
When will the two plans charge the same amount?
The equation that represents the amount that would be paid by Kayla if she buys the phone from Rongers is : $127x
Where x represents the number of months
The equation that represents the amount that would be paid by Kayla if she buys the phone from Fidoll is : $363 + $94x
Where x represents the number of months
The two above equations would be equal when the plan charge the same amount: $363 + $94x = $127x
Combine similar terms
$363 = $127x - $94x
Add similar terms
$363 = $33x
Divide both sides by 33
x = 11 months
Which plan would be recommended if the plan is for 2 years?
Rongers: $127(24) = $3,048
Fidoll = $363 + $94(24) = $2619
I would recommend the Fidoll plan
To learn more about cost, please check: https://brainly.com/question/25879561
Find the sum of -2 + 3i and -1- 2i.
Answer:
-3+i
Step-by-step explanation:
Collect like terms
-2-1=-3
+3i-2i=i
-3+i
compute the probability of tossing a six-sided die and getting a number less than 3
Answer:
We can think of our denominator as 6 in our probability, because there are 6 total sides to this die.
Out of those 6 sides, they want to find out if we can roll a number less than 3.
First, let's find how many numbers there are on this die that are less than 3.
1 and 2, so there are 2 sides that contain numbers less than 3 on this die.
So there is a 2 out of 6 chance(2/6) which can be simplified to 1/3, of selecting a number less than 3 when rolling a die.
1/3 probability.
Convert this into a percent if you'd want:-
1/3 · 100
= 33.333... which can be rounded to a 33% probability.
Determine the lateral and total surface area
of the regular triangular pyramid.
15 cm
13 cm
Lateral Surface Area
Total Surface Area
The areas of the square pyramid are the amount of space on it
The lateral surface area is 292.5 square cmThe total surface area is 354.85 square cmHow to determine the lateral surface area?The given parameters are:
Base (b) = 15 cm
Slant height (l) = 13 cm
The lateral surface area is calculated using:
L = 1.5bl
So, we have:
L = 1.5 * 15 * 13
Evaluate the product
L = 292.5
How to determine the total surface area?This is calculated using:
T = L + 0.25√3b^2
So, we have:
T = 292.5 + 0.25√3 * 12^2
Evaluate
T = 354.85
Hence, the total surface area is 354.85 square cm
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Joe has 1500 minutes per month on her cell phone how many more minutes can she use if she already use 325 minutes
Answer:
1500-325
=1125
Step-by-step explanation:
1500 minutes minus 325 minutes is equal to 1125 minutes remaining
In how many ways could you select 2 of the 6 possible different brands of
orange juice at the store?
Answer:
15 different ways you can select 2 of 6 brands of orange juice
Step-by-step explanation:
Brand 1
Brand 2
Brand 3
Brand 4
Brand 5
Brand 6
1. (B1, B2)
2. (B1, B3)
3. (B1, B4)
4. (B1, B5)
5. (B1, B6)
6. (B2, B3)
7. (B2, B4)
8. (B2, B5)
9. (B2, B6)
10. (B3, B4)
11. (B3, B5)
12. (B3, B6)
13. (B4, B5)
14. (B4, B6)
15. (B5, B6)
Bob had 50 cupcakes. he gave 1/5 of the cupcakes to his uncle,, 2/5 of them to his Grandpa. Bob kept the rest. how many cupcakes did each person get?
Answer:
Uncle=10, Grandpa=20, Bob=20
Step-by-step explanation:
Uncle: 50* 1/5 = 10
Grandpa: 50 * 2/5= 20
Bob: 50-(10+20)=20
Answer:
Uncle=10, Grandpa=20, Bob=20
Step-by-step explanation:
Uncle: 50* 1/5 = 10
Grandpa: 50 * 2/5= 20
Bob: 50-(10+20)=20
Step-by-step explanation:
Samir also picks pumpkins from his garden. He picked 6 7/10 kg, but 2.6 of pumpkins were spoiled and could not be used for decoration. How many kilograms of pumpkins were not spoiled? Write an equation that shows how you reached your answer.
Answer:
6.7kg - 2.6kg = 4.1kg
Step-by-step explanation:
6 7/10 is equal to 6.7. If we have 6.7kg of pumpkins, but we can't use 2.6kg, then we subtract to find the amount that we can use.
parallelogram MTBV ~ parallelogram AQZE
Drag the answers into the boxes to match each part of parallelogram MTBV with the corresponding part
of parallelogram AQZE.
IT
1 to 4 2 stays 3 to 1 4 to 3
Step-by-step explanation:
Please help me!!!
Prove that :
7.1 TS is a tangent to the cyclic quadrilateral RSPD at point S.
7.2 TW ||PS
Explanation:
The various theorems involved include ...
angle sum theorem (angles in a triangle total 180°)alternate interior angles theorem (said angles are congruent)inscribed angle theorem (and "alternate")angle addition postulateFor the purpose here, we wll use the notation D.1 to refer to the angle labeled "1" at vertex D.
The argument goes something like the following.
__
∠D.1 +∠R +∠S.1 = 180° . . . . angle sum theorem
∠S.1 +∠S.2 +∠S.3 +∠S.4 = 180° . . . . angle addition postulate (∠RSW is a straight angle, equal to 180°)
∠D.1 +∠R +∠S.1 = ∠S.1 +∠S.2 +∠S.3 +∠S.4 . . . . substitution property
∠D.1 = ∠S.2 . . . . alternate interior angles theorem
∠S.2 +∠R +∠S.1 = ∠S.1 +∠S.2 +∠S.3 +∠S.4 . . . . substitute for ∠D.1
∠R = ∠S.3 +∠S.4 . . . . subtraction property (subtract ∠S.1 +∠S.2)
∠R = ∠S.3 +∠S.2 . . . . substitute ∠S.2 for equal ∠S.4 (given)
∠R = arc DS/2 . . . . inscribed angle is half the arc measure
∠TSD = ∠S.2 +∠S.3 = arc DS/2 . . . . substitution, angle addition, angle naming
TS is tangent at S . . . . converse of "inscribed angle alternate" where the vertex of an inscribed angle is a point of tangency
_____
Additional comment
The alternate to the inscribed angle theorem says the angle is half the measure of the intercepted arc even as the vertex of the inscribed angle becomes a point of tangency (one ray of the angle is a tangent, so a zero-length chord). The converse of this says the vertex is a point of tangency if the intercepted arc is twice the measure of the angle, as in this problem.
solve for the missing side!
please be quick i will give brainlist
Answer:
15m
Step-by-step explanation:
You need to do the Pythagorean Theorem:
a^2 + b^2 = c^2
*(The ^ is meaning to a power or squared in this case)*
You are solving for c which is the hypothenuse!
12^2 + 9^2 = c^2
144+81 = c^2
225 = c^2 *(The opposite of squaring something is the square root)*
c= The square root of 225
That shall be simplified to 15
According to Pythagoras theorem
Base² + perpendicular ² = Hypotenuse ²
12² + 9² = H²
144 + 81 = H²
225 = H²
H = √225
H = 15
Hypotenuse = 15m
HOPE IT HELPS :)
For which values of x is the expression undefined x-8/x-5
Answer:
x = 5
Step-by-step explanation:
Any number over 0 is undefined. Given that, the values of x that make this expression undefined make the denominator equal to 0
x - 5 = 0
x = 5
I hope this helps!
Simple help me please and thank you !
Answer:
y=mx
Step-by-step explanation:
I actually dont know if this is wrong I am terribly sorry I just went off of my notes.
PLS help me with this picture
Answer:
Collinear points: points that lie on the same straight line or in a single line
Coplanar points: three or more points which lie in the same plane
12. Point collinear with points E and G = C. Point Y
13. Point coplanar with points A, D and H = A. Point E
14. Point coplanar with points A, C and G = A. Point E
15. Point collinear with points B and D = B. Point X
[tex] \green{ - - - - - - - - - - - - - - - - - - }[/tex]
•— ANSWER12. Point collinear with points E and G = C. Point Y13. Point coplanar with points A, D and H = A. Point E14. Point coplanar with points A, C and G = A. Point E15. Point collinear with points B and D = B. Point X•— EXPLANATIONCollinear points — Collinear points are points that lie on the same line.
Coplanar points — Any three points in space that lie on the same plane are called coplanar points.
[tex]\green{ - - - - - - - - - - - - - - - - - - }[/tex]
A babysitter charges a rate of $15 per hour. how long was the babysitter there if she makes $5
Answer:
20 mins.
Step-by-step explanation:
A babysitter charges a rate of $15 per hour. How long was the babysitter there if she makes $5?
x = hours she babysat
Equation:
15x = 5
Divide to isolate x:
15x = 5
/15 /15
x = 1/3 hrs.
Now, we convert into minutes, since she didn't work for a whole hour, to earn the $15
We know that there are 60 mins. in an hour
60 * 1/3
60/3
20 mins.
Therefore, the babysitter was there for 20 mins.
Hope this helps!
The radius of a circle is 17 ft. Find its circumference in terms of pi
Maren is completing a wood working project. She needs 90 feet of wood. She has 8 pieces of wood that are each 6.2 feet long in her garage. How much more wood will she need to complete the wood working project?
Answer:
She needs 40.4 feet of wood.
Step-by-step explanation:
➾ She had 8 pieces of wood that are 6.2 feet each, so total length of wood she had = 8×6.2
= 49.6feet.
➾She needs total 90feet. of wood and she had already 49.6 feet of wood.
So, now wood she needed = 90-49.6
= 40.4feet.
____________________________
Hope it helps you:)
Answer:
She needs 40.4 feet of wood
Step-by-step explanation:
Given :-
Maren has 8 piece of wood which are 6.2 feet longShe needs total 90 feet of woodTo find:-
How much wood will she need moreSolution:-
Amount of wood she needs more :-
Wood she wanted to complete project — Wood she already have
by putting the value ,
90 feet — 8 × 6.2 feet
= 40.4 feet
What is the next term of the geometric sequence
Answer:
64/7
Step-by-step explanation:
Pattern = Multiplying by -4
-16/7 x -4/1
64/7
What is the equivalent expression for 24x - 40y ?
Answer:
See answer and step-by-step attachment.
Step-by-step explanation:
See attachment.
find the MAD of 0, 2, 4, 4, 6, 8, 8, 12
Answer:
Mean Absolute Deviation (MAD): 3
Step-by-step explanation:
An automotive website would like to estimate the percentage of drivers who own their cars, rather than lease their cars. Which of these survey methods would not provide a convenience sample to estimate the percentage who own their cars?
a survey of adults at an auto parts store
a survey of all adults attending a car show
a survey of people in a car dealership
an online survey for sharing data about their cars
A survey of all adults attending a car show would not provide a convenience sample to estimate the percentage of drivers who own their cars, rather than lease their cars.
What is a survey?A survey is a research method used to gather information from a sample of individuals about their opinions, behaviors, experiences, or demographic characteristics.
This is because a car show attracts a diverse group of people, including car enthusiasts, potential car buyers, and families looking for entertainment.
Therefore, a survey of all adults attending a car show would provide a more representative sample of the population, compared to the other options listed, which are more likely to provide a convenience sample.
A survey of adults at an auto parts store, a survey of people in a car dealership, and an online survey for sharing data about their cars are more likely to provide a convenience sample because they are only capturing the opinions of people who happen to be present at a particular place or who choose to participate in an online survey.
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What is the vertex for this function?
y=2x^2−12x+16
(-2, 12)
(-2, 3)
(-12, 36)
(3, -2)
Answer:
Step-by-step explanation:
hello :
y=2x²−12x+16
y = 2(x²-6x+9-9)+16
y = 2(x-3)²-18+16
y = 2(x-3)²-2.....vertex -form when the vertex is : (3, -2)
What are the solution to the equation below? 4x^2+ 9 = 25
that is the complete answer to the question
A class has 26 students. Each student has to present a project to the class. To decide the order, the teacher writes every letter in the
alphabet on pieces of paper and puts it in a hat. What is the probability that the first letter drawn is not a vowel?
A. 7/26
B. 19/26
C. 21/26
D. 5/26
Answer:
Choice B.
19/ 20
Step-by-step explanation:
This is because there are 26 letters in the alphabet, 19 of which are non-vowels.
Answer:
21/26
Step-by-step explanation:
because there are 26 letter in the alphabet
and there are 5 vowels
so 26 - 5 = 21
21/26
Future value of 10% savings from earnings of1470 earning 3.5% annual interest compounded monthly for 25 years
hmmm so let's see first how much is 10% of the earnings of 1470.
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{10\% of 1470}}{\left( \cfrac{10}{100} \right)1470}\implies 147[/tex]
so then
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$147\\ r=rate\to 3.5\%\to \frac{3.5}{100}\dotfill &0.035\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &25 \end{cases}[/tex]
[tex]A=147\left(1+\frac{0.035}{12}\right)^{12\cdot 25}\implies A=147\left( \frac{2407}{2400} \right)^{300}\implies \boxed{A\approx 352.19}[/tex]