Answer:
The sum of any integer and its opposite is equal to zero. adding two negative integers always yields a negative sum. To find the sum of a positive and a negative integer, take the absolute value of each integer and then subtract these values.
Answer:
Step-by-step explanation:
The sum will have the same sign as the integer with the greater magnitude.
Example: the sum of -11 and 5 is -6, where the 6 takes the sign of -11 (which has a greater magnitude than does 5).
Consider the graph of the function f(x)=logx.
Match each transformation of function f with a feature of the transformed function.
Transformation of function f with a feature of the transformed function.
g(x)=-f(x-3) is vertical asymptote of x=3j(x)= f(x+3) is x-intercept of (-2,0)h(x)=3f(x)-3 is domain of (0, ∞)What is asymptote?An asymptote is a line that the graph of a function approaches as either x or y go to positive or negative infinity. There are three types of asymptotes: vertical, horizontal and oblique
Given function is : f(x)= log x
g(x)= -f(x+3)= - log(x+3)g(x)=-f(x-3) is vertical asymptote of x=3
j(x)= f(x+3) = log (x+3) thenj(x)= f(x+3) is x-intercept of (-2,0)
Domain: As (0,∞),{x | x>0}h(x)=3f(x)-3 is domain of (0, ∞)
Learn more about asymptote here:
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Answer:
Step-by-step explanation:
What is the range of the function shown on the graph above? The graph is in the photo
OA. -6 < y < 9
OB. -6 _< y _< 9
OC. 0 _< y _< 7
OD. 0 < y < 7
Plz help with these.
Answer:
5. [tex]a ( x + y^{2} + z )[/tex]
6. [tex]2a ( x + y + z)[/tex]
7. [tex]4 ( x +4y)[/tex]
8. [tex]-5 ( x + y )[/tex]
9. [tex]7a ( a + b)[/tex]
10. [tex]-2 ( x + 2y + 3z)[/tex]
11. [tex]bx ( a + y)[/tex]
12. [tex]-x (x^{2} + x + 1)[/tex]
this took long but i hope the answers are correct :)
a manufacturer is designing a new container for their chocolate-covered almonds. Their original container was a cylinder with the height of 18 cm and a diameter of 14 cm. the new container can be modeled by a rectangular prism with a square base and will contain the same amount of chocolate-covered almonds. if the new container's height is 16 cm, determine and state, to the nearest tenth of a centimeter, the side length of the new container if both containers contain the same amount of almonds
Answer:
answer is 24
Step-by-step explanation:
The side length of the rectangular prism with a square base is 13.2 cm if the original container was a cylinder with the height of 18 cm and a diameter of 14 cm.
What is a cylinder?In geometry, it is defined as the three-dimensional shape having two circular shapes at a distance called the height of the cylinder.
We know the volume of the cylinder is given by:
[tex]\rm V = \pi r^2 h[/tex]
The radius of the cylinder r = 14/2 = 7 cm
The volume of the cylindrical container V = π(7)²(18) = 882π cubic cm
Let's suppose the side length is L:
Then the volume of the rectangular prism is the same as the cylindrical container:
882π = L×L×16 (h = 16 cm)
882π = 16L²
L = 13.15 ≈ 13.2 cm
Thus, the side length of the rectangular prism with a square base is 13.2 cm if the original container was a cylinder with the height of 18 cm and a diameter of 14 cm.
Learn more about the cylinder here:
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It takes me into 30 minutes to walk from home to school when walking at 5 km per hour What is her average cycling speed If it takes her 15 minutes by bike to travel the same distance
Answer:
10 km/h
Step-by-step explanation:
I'm not really sure about this but no ones answering your question and I wanna help.
So basically to calculate the average speed you need to divide the distance travelled by time taken
But you do not have the distance traveled. But it is mentioned that it takes u 30 minutes to walk from home to school when walking at 5 km/h so to find the distance all you have to do is... 30 x 5 = 150 km
Now that we have the time and distance all we have to do is find the average speed.
Average Speed = distance ÷ time
So 150 ÷ 15 = 10 km/h
Help ASAP please!!!!!
51in
Step-by-step explanation:
15x5=75
8x3=24
75-25=51
Answer:
hi
Step-by-step explanation:
the area of the little rectangle:
3 in × 8 in= 24 in
tge area of the shaded ragion:
5in × 15in =75in
75in - 24 in=51 in
hope it helps
have a nice day
Write a rule for the nth term of the geometric sequence:
a3=54, a6=1458
Answer:
tn = -1350 + 468n
Step-by-step explanation:
First, we need to find the difference.
1458 - 54 / 6 - 3
= 468
Now we need to find the first term.
t3 = t1 + (n - 1) (d)
54 = t1 + (3 - 1)(468)
54 = t1 + (2)(468)
54 = t1 + 936
-882 = t1
The rule is:
tn = -882 + (n-1) (468)
tn = -882 + 468n - 468
tn = -1350 + 468n
Write an equation of the line perpendicular to the given line that contains P.
Step-by-step explanation:
As the required line is perpendicular to y = (1/2)x + 5, product of slope of y = (1/2)x + 5 and required line should be - 1.
=> (1/2)m = - 1
=> m = - 2
Thus, required line is
=> y - (-8) = (-2)(x - 3)
=> y + 8 = -2(x - 3)
HELP PLEASE!!!!!! Find the speed of an athlete who makes 4and3/4 laps in 3mins45 seconds on a 400m field in m/s
Given:
An athlete who makes [tex]4\dfrac{3}{4}[/tex] laps in 3 mins 45 seconds on a 400m field.
To find:
The speed of the athlete in m/s.
Solution:
We know that,
Distance covered in 1 lap = 400 m
Distance covered in [tex]4\dfrac{3}{4}[/tex] laps = [tex]4\dfrac{3}{4}\times 400[/tex] m
= [tex]\dfrac{19}{4}\times 400[/tex] m
= [tex]1900[/tex] m
We know that,
1 minute = 60 seconds
3 minutes = 180 seconds
3 minutes 45 second = 180 + 45 seconds
= 225 second
The speed of the athlete is:
[tex]Speed=\dfrac{Distance}{Time}[/tex]
[tex]Speed=\dfrac{1900}{225}[/tex]
[tex]Speed\approx 8.44[/tex]
Therefore, the speed of the athlete is about 8.44 m/s.
The quotient of a number more than 1 and 3 is 5
Answer:
https://brainly.com/question/13518166
Step-by-step explanation:
6. Markets with elastic supply and demand curves: a) Have demand and supply curves that never intersect. B) Are very sensitive to a change in price. C) Have greater movements in quantity than prices. D) Are very sensitive to a change in quantity. E) Are only theoretical and do not exist in the real world.
Answer:
The correct statement is B (are very sensitive to change in price)
Step-by-step explanation:
Option B is correct because of the following reason -:
The degree to which a rise in price affects the quantity demanded or supplied is known as elasticity. In the case of elastic demand and supply, as the price rises, the quantity demanded falls and the quantity supplied rises more than proportionally. Inelastic price elasticity of demand and supply, on the other hand, induces a less than proportional change in quantity as prices change.
Hence , the correct option is B .
Mrs. Wallace wants to buy 112 gallons of sour cream for a recipe. If sour cream is sold only in 1-pint containers, how many containers will she need to buy?
Answer:
896 containers
Step-by-step explanation:
Given that;
1 pint = 1 container
Convert 112 gallons to pint
1 pint x 0.125 gallons
x = 112gallons
Cross multiply
0.125x = 112
x = 112/0.125
x = 896 pints
Since sour cream is sold only in 1-pint containers, then the total container she will buy is 896 containers
If vector v = ( 9 ) find -v and 3v
-6
Jeremiah and his children went into a bakery and he bought $20 worth of cupcakes and cookies. Each cupcake costs $5 and each cookie costs $1.25. He bought 4 times as many cookies as cupcakes. Graphically solve a system of equations in order to determine the number of cupcakes, x,x, and the number of cookies, y,y, that Jeremiah bought.
Answer: (2,8)
Step-by-step explanation:
5x+1.25=20
y=4x
5x+1.25y=20 y=4x
1.25y=-5x+20
1.25y/1.25=-5x+20/1.25
y=-4x+16
Are the ratios 2:3 and 1:2 equivalent??
Answer:
No coz 2:3 is 2+3=5
1:2 is 1+2=3 so they are not equivalent.
Vincent started driving at 45 miles per hour. After he drove 10 miles his friend Bill started driving the same route at a rate of 45 miles per hour. If they continue to drive at the same rate will Bill ever catch up to Vincent?
Answer: No
Step-by-step explanation: Vincent started 10 miles ahead so Bill will never catch up at this rate
MATH PLEASE HELP!! HELP BADLY NEEDED....
Select the expression that is equivalent to (m2-16)
A
(m-4)2
B
(m+4)(m-4)
C
(m2+8m+16)
D
(m2-8m+16)
The perimeter of a square is 28 cm. Find its area and the length of its diagonal.
help me
Step-by-step explanation:
area: 28/4=7
7x7=49
diagonal=square root 7²+7²
9.89949
9.90
hope it can help you
Select the correct answer.
If f(t)
- 6 and 9(3)
22 (
+ 3), find g(x) < f(x).
OA. 5/2 - 3232
- 1867
OB. 75
3VI3
18va
OC. 5
6vr
OD.
5
3.13 – 180

A
see attached for explanation
I hope it helps
Explain the error in the solution below. What
additional step needs to be completed?
log x - log5^3 = 2log5^3
log x = 3log5 ^3
log x = log5 3^3.
x = 27
Answer:
x = 1953125
Step-by-step explanation:
log x - log 5^3 = 2 log 5^3
log x - 3 log 5 = 6 log 5
log x = 9 log 5 = log 5^9
x = 5^9
x = 1953125
1. What type of angle am I?m<1=91 degrees, m<2=89 degrees
Complementary
supplementary
Other:
Answer:
Step-by-step explanation:
If they are added, they are supplementary. If anything else is done to them, there is no answer.
89 + 91 = 180 Supplementary angles add to 180.
Which shows the Commutative Property of Addition?
A 2 (5+6)=2 (5) + 2(6)
B 3+ (7+ -2) = 3 +(-2+ 7)
C 13+ (-13) = 0
D-9+(3+4)= (-9 + 3) + 4
Answer:
B 3+ (7+ -2) = 3 +(-2+ 7)
Step-by-step explanation:
It shows that the answer is the same even if you switch the problem in the parentheses around
Find the area of each trapezoid. Write your answer as an integer or a simplified radical
Answer: there is no picture
write the answer in the simplest radical form
[tex] \sqrt{56} [/tex]
At 5 am, the temperature was -10°F. By noon the temperature was 7°F, What Integer
represents the change in temperature from 5 am, to noon?
Answer:
The integer that represents the change in temperature is 17.
Step-by-step explanation:
HELP PLS ITS ALMOST DUE PLS PLS PLS
Answer:
19. B
20. C
Step-by-step explanation:
Evaluate.Evaluate.
8−2⋅3+7
Step-by-step explanation:
6×10
=60
niceeeeeeeeeeee
5. Find the circumference of a circle with a radius
of 15 feet.
Answer:
94.25 feet.
Step-by-step explanation:
Find the total area.
Answer:
area = 164.52 cm²
Step-by-step explanation:
area = (12x6) + (12x3x0.5x2) + (3.14)(0.5)(6²) = 164.52 cm²