Answer:
ab+bc+ca=0
Step-by-step explanation:
We are given:
[tex]x^a=y^b=z^c[/tex]
xyz=1
Separating equations:
[tex]x^a=z^c[/tex]
[tex]y^b=z^c[/tex]
Solving the first equation for x:
[tex]\displaystyle x=z^\frac{c}{a}[/tex]
Solving the second equation for y:
[tex]\displaystyle y=z^\frac{c}{b}[/tex]
Substituting in
xyz=1:
[tex]\displaystyle z^\frac{c}{a}z^\frac{c}{b}z=1[/tex]
Adding the exponents:
[tex]\displaystyle z^{\frac{c}{a}+\frac{c}{b}+1}=1[/tex]
Since [tex]1=z^0[/tex]:
[tex]\displaystyle z^{\frac{c}{a}+\frac{c}{b}+1}=z^0[/tex]
The base is z on both sides so we get rid of them:
[tex]\displaystyle \frac{c}{a}+\frac{c}{b}+1=0[/tex]
Multiplying by ab:
bc+ac+ab=0
Reordering:
ab+bc+ca=0
If the temperature outside increases by 3 1/2 degrees every 1 1/2 hours, by how much will the temperature increase after 4 hours?
please answer in fractions.
Part 1:
What is the rate per hour of the temperature increase?
Part 2:
How much will the temperature increase after 4 hours?
Answer:
Part 1: 7/3 degrees/hour
Part 2: 28/3 degrees
Step-by-step explanation:
Part 1:
3 1/2 degrees per 1 1/2 hours =
= (3 1/2)/(1 1/2)
= (7/2) / (3/2)
= 7/2 * 2/3
= 7/3 degrees/hour
The rate is 7/3 degree per hour
Part 2:
In 4 hours, the temperature goes up 4 times what it goes up in 1 hour.
4 hours * 7/3 degree/hour = 28/3 degrees
write a problem that represents "7+-7"
Answer:
The fish jumped 7 inches from the sea then fell 7 inches down.
Step-by-step explanation:
Answer:
7-7
Step-by-step explanation:
7 adding a negative number means it is subtracting because you are taking away from the 7.
Which statement about the ratios 15/18 and 18/27 is true?
A.The ratios are proportional because they simplify to the same ratio.
B.The ratios are proportional because they both contain the number 8.
C.The ratios are not proportional because they do not have the same denominator.
D.The ratios are not proportional because they do not simplify to the same ratio.
Answer:
C
Step-by-step explanation:
brainliest pls
Answer:
D
Step-by-step explanation:
the answer is D beacuse if expressed as ratios the would not be simplified or reduced to the same lowest form
5X + 2 = 12 two step eqation can someone help
Fraction math problems, have lots tonight need help for some
Answer:
5
Step-by-step explanation:
what's the answer to the question?
I have a heart that never beats, I have a home but never sleep, I can take a man's house and build on others, and I like to play games with my mini brothers. I am a king among fools. who am i?
PLEASE HURRY I HAVE A LITTLE BIT OF TIME TO TURN IT IN
when is Ann's distance from home staying the same? give a reason to support your answer
Answer:
4.25-5 minutes
Step-by-step explanation:
Its shown in the graph and table that the speed was 0 between those times.
Heyyyyy ah ha ha help I’m begging please someone god bless
Answer:
Step-by-step explanation:
Domain of a function is a set of x-values (input values) for which the function is defined.
Range of a function is a set of y-values (output values) for the given set of input values.
7). Domain → (-∞, ∞)
Range → (-∞, ∞)
8). Domain → (-∞, ∞)
Range → [-2, ∞)
9). Domain → [-2, 2]
Range → [-3, 3]
10). Domain → (-∞, ∞)
Range → [-1, 1]
Alexander was hopelessly lost. This new campus was 10 times bigger than his last school had been. He had no idea how to get back to his classroom. All the doors to all of the classrooms looked the same. Here he was staring down this endless corridor, hoping that someone would come along, so he could inquire where he needed to go.
Use the context clues to find the definition for the word inquire as it is used in this paragraph.
to shout
to ask
to help
to wonder
Answer:
to ask
Step-by-step explanation:
Sheryl has a basket of ripe apples and peaches. The number of apples in the basket is 12 more than twice the number of peaches. If there are
36 apples in the basket, there are
peaches in the basket.
I need help TwT
Answer=12
Step-by-step explanation:
well if there are 36 apples and there are 12 more apples then peaches then 36-12= 24 24/2=12
In AJKL, if m2 J = 90°, then K and j are
A) Complementary
O B) Congruent
O C) Obtuse
OD) Right
Evaluate the expression when b=4 and x= -5
-9x+b
Super Salad Dressing is made with 8mL of oil for every 3mL of vinegar.
Which of the following mixtures will taste the same as Super Salad Dressing?
Group of answer choices
3 mL of oil for every 8 mL of vinegar
16 mL of oil for every 9 mL of vinegar
40mL of oil for every 25mL of vinegar
56 mL of oil for every 21 mL of vinegar
Answer:
56mL of oil for every 21mL of vineger
Step-by-step explanation:
56 is a multiple of 8, and 21 is a multiple of 3. 7 times 3 is 21, and 8 times 7 is 56. Hope this helped!
HELP PLS 40 points!!?????!?????????
Answer:
no clue
Step-by-step explanation:
very sorry
im in 5th grade
im only in 5th grade aswell *-*
thank you so much for free points<3!!!!
What is 40% of 160???
Answer:
64
Step-by-step explanation:
PLEASE HELP!!
Daniel's house is identified by the point on the coordinate grid. If he went three units west and three units north, at what point where he end up?
A. (4, -2)
B. (-2, 4)
C. (1, 1)
D. (1, -1)
Answer:
If he starts at his house (4,-2) and goes left 3 and up 3 he ends up at C. (1,1)
Answer:
sdadawdasdwasda
c 11
Sino may Alam dito pasagot Naman po please
Answer:
Sorry i dont understand japanese... sorry;-;
Step-by-step explanation:
A family eats at a restaurant. The bill is $42. The family leaves a tip and spends $49.77. How much was the tip in dollars? [ Select ] How much was the tip as a percentage of the bill
Answer: 18.5% of the bill.
Step-by-step explanation:
Since the bill was 42 dollars while the total amount was 49.77, we need to subtract 42 by 49.77.
49.77 - 42 = 7.77.
So the tip was $7.77.
But then we also have to find the tip as a percentage.
So we should do 7.77 divided by 42, because 42 is the original amount.
7.77 ÷ 42 = 0.185, but as a percent you have to move to the left two places. So the decimal is 18.5.
In conclusion, the tip was 18.5% of the bill.
Hope this helps!
which mathematical property is shown here
6*1=6
1 identity property of muliplication
2 inverse property
3 distributive
Plz HeLp MeEeEeEe...............
Answer:
14.25
Step-by-step explanation:
Answer:
Step-by-step explanation:
The mean is 3.5
Statement: If 3x = 6, then x = 2. What is the contrapositive of the statement? Emeans not equal
Answer:
x=2
Step-by-step explanation:
you are correct for x=2 because 6 divided by 3 is 2
Please help me with circle theorems
Answer:
x = 38°, y = 68°, z = 55°
Step-by-step explanation:
This would be easier to explain if the vertices were labelled , however
Angles at the circumference of the circle subtended on the same arc are congruent.
x and 38 are subtended on the same arc
y and 68 are subtended on the same arc
z and 55 are subtended on the same arc
Thus
x = 38°, y = 68° and z = 55°
Richard measured the auditorium and made a scale drawing. The scale of the
drawing was 0.5 inch : 4 feet. If the stage is 11 inches in the drawing, how
long is the actual stage?
Answer:
oml yall really on here
Step-by-step explanation:ion know do you homework
Sarah drove 40 miles per hour. In 3 hours, Sarah drove 120 miles. Which is a valid proportion to represent this description?
Answer:
A
Step-by-step explanation:
miles over hours
40 over 1
120 over 3
Almee is decorating her new house. she found a table at pier one for $425. If the table is 25% off, what will it cost
Answer:
$318.75
Step-by-step explanation:
425*0.25=106.25 425-106.25=318.75
Graph y=x+4,
I just need assistance on how i get the answer and the answer aswell
Find the value of a3 + 3b2 when a = 2 and b = -2
Given:
a = 2 and b = -2.
To find:
The value of [tex]a^3+3b^2[/tex].
Solution:
We need to find the value of expression [tex]a^3+3b^2[/tex] at a = 2 and b = -2.
Substituting a = 2 and b=-2 in [tex]a^3+3b^2[/tex], we get
[tex](2)^3+3(-2)^2[/tex]
[tex]=8+3(4)[/tex]
[tex]=8+12[/tex]
[tex]=20[/tex]
Therefore, the value of expression [tex]a^3+3b^2[/tex] at a = 2 and b = -2 is 20.
6.
X-4y=8
Find the slope.
a) -1/4
b) 1/4
C) -4
d) 4.
Answer:
B. 1/4
Step-by-step explanation:
how many ventices are there in a cuboid
8
Step-by-step explanation:
By Euler's formula the numbers of faces F, of vertices V, and of edges E of any convex polyhedron are related by the formula F + V = E + 2. In the case of a cuboid this gives 6 + 8 = 12 + 2; that is, like a cube, a cuboid has 6 faces, 8 vertices, and 12 edges.
Answer:
there are 8 6+8=12+2 vertices, and 12 edges
A number y minus 12 is no more than −32.
The inequality is
Answer:
y-12<-32
Step-by-step explanation:
just remember to underline the less than sign
