Step-by-step explanation:
Given that,
[tex]f(x)=-2x^{-3}\ ......(1)\\\\g(x)=-2x-3\ ......(2)[/tex]
Put x = -2 to find f(-2) in equation (1).
[tex]f(-2)=-2(-2)^{-3}\\\\=\dfrac{1}{4}[/tex]
Put x = 5 to find g(5) in equation (2).
So,
[tex]g(5)=-2(5)-3\\\\=-13[/tex]
Hence, f(-2) = 1/4 and g(5) = -13.
Solve for n 6 ( n - 3) - 2n = 10
Answer:
n = 7
Step-by-step explanation:
:)
A house has a square room with an area of 125 ft2.
What is the length of the side of the square room to the nearest tenth?
Answer:
11.2 ftStep-by-step explanation:
doing map testing rn el o el
Write an equation of a line that is parallel to the line y
4x +3
Answer:
[tex]y=4x+4[/tex]
Step-by-step explanation:
There are infinite answers
All you have to do is changed the last number 3, to any real number greater or less than 3
Task 4 Task 다. Given: m
Answer:
where the choices?
Step-by-step explanation:
Please help me!!
3. Determine whether or not AB is tangent to circle O. Show your work.
Answer:
not tangent
Step-by-step explanation:
two reasons, first
Triangle AOB is not a right triangle
line AB intersects the circle O at two points.
The line AB touching the circle at point B in the considered diagram is not tangent to the circle O.
What is Pythagoras Theorem?If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
[tex]|AC|^2 = |AB|^2 + |BC|^2[/tex]
where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).
How are radius and tangent to a circle related?There is a theorem in mathematics that:
If there is a circle O with tangent line L intersecting the circle at point A, then the radius OA is perpendicular to the line L.
So, if AB is a tangent, then ∠ABO = 90° and therefore satisfies Pythagoras theorem.
Assuming AB is tangent, then ABO is right angled we should get:
[tex]H^2 = P^2 + B^2\\30^2 = 16^2 + 12^2\\900 = 256 + 144\\900= 500[/tex]
This statement is false, and therefore, so as our assumption is false that AB is tangent to circle O. Thus, AB is not tangent to circle O.
(so it might be that even if AB looks like touching at one point the circle O, but AB might be intersecting the circle at two points, or not touching it at all)
Thus, the line AB touching the circle at point B in the considered diagram is not tangent to the circle O.
Learn more about tangent to a circle here:
https://brainly.com/question/7942024
What is the surface area?
5 mm
4 mm
5 mm
6 mm
7 mm
square millimeters
Answer:
136 square millimeters
Step-by-step explanation:
What is the coefficient of the term of degree 7 in the polynomial below? 2x^6 + 2 – 4x^2 + 5x^7 – 4x A. 2 B. 4 C. 6 D. 5
Answer:
C.6
Step-by-step explanation:
Find the surface area.
6 ft
211
3 ft
Answer:
36 ft
Step-by-step explanation:
If there is an 9% tax
on a $18 football,
what is the tax
amount?
Answer: $1.62
Step-by-step explanation:
9% = 0.09
18 * 0.09 = 1.62
Answer:
1.62
Step-by-step explanation:
To find 9 percent of the number 18, we must create a proportion from which we can easily determine the value we are looking for.
First we create two simple equations with data that we know.
18 equals 100%, so we can save it as 18 = 100%
The value we are looking for can be called x
Now we know that x is 9 of the output value, so we can write it as x = 9.
So we have two simple equations:
1) 18 = 100%
2) x = 9%
When we compare these two equations, we get:
18 / x = (100%) / (9%)
Now we just have to solve the simple equation.
We calculate 9 percent of 18:
18 / x = 100/9
(18 / x) * x = (100/9) * x
18 = 11.111111111111 * x
18 / 11.111111111111 = x
1.62 = x
x = 1.62
Solution:
9 percent of 18 = 1.62
At the library, Herb spent hour looking for a book, 1 hour
reading, and į hour doing research on the computer. How many
hours did Herb spend at the library?
Answer:
3 hours obviously
Step-by-step explanation:
1 hour looking for a book, 1 hour reading it, and one hour doing research on the book = 3 hours
In 1978, the amount of earnings required to earn one Social Security credit was $250. Thirty-eight years later, in 2016, the amount was $1260. What was the percent increase in the amount required to earn a credit over this 38-year span?
Answer:
404%
Step-by-step explanation:
To find the percentage difference do the following: (FV - SV)/|SV| * 100
(1260 - 250)/|250| * 100 {Subtract 250 from 1260 to get 1010. The absolute value of 250 is 250.}
1010/250 * 100 {Divide 1010 by 250 to get 4.04, or 101/25.}
101/25 * 100/1 {CROSS CANCELLATION}
101 * 4 {Multiply 4 by 101 to get 404.}
404%
The percent increase in the amount required to earn a credit over 38 years is 404%.
SOMEONE PLEASEEEE HELPPPP !!!!!!!!
FALSE ITS FALSE FALSE
Answer:
True
Step-by-step explanation:
In a triangle, all the angles must add up to 180. The angles in an equiangular triangle are all the same so you can just divide 180 by 3 to get one of the angles. This is equal to 60 degrees and since acute traingles have angles that are all less than 90 degrees, it is an acute triangle.
4 granola bars are shared equally between 8 people. What fraction of a granola bar does each
Does person receive?
Plz Help Me
Students were surveyed about their favorite food. Here are the results:
34% of the students like pizza
24% of the students like hamburgers
58% of the students like chicken
8% of the students like all three
12% of the students like pizza and hamburgers
22% of the students like pizza and chicken
8% of the students like only hamburgers
What percent of the students did not like pizza, hamburgers or chicken?
Answer:
0%
Step-by-step explanation:
They all liked one type of food.
The percent of the students which does not like pizza, hamburgers or chicken in the result of survey of favorite food are 22%.
Percentage of a number is the part of the whole number which is expressed in the fraction of hundredth. It is represented with "%" symbol.
Students were surveyed about their favorite food. Here are the results:
34% of the students like pizza24% of the students like hamburgers58% of the students like chicken8% of the students like all three12% of the students like pizza and hamburgers22% of the students like pizza and chickenonly 8% of the students like hamburgersThe vann diagram which represent this result is attached below. 8% of the students like all three, so 4% like chicken and hamburger and 4% pizza and hamburger.
14% of the students like pizza and chicken. Thus, the percent of the students did not like pizza, hamburgers or chicken is,
[tex]100-(32+14+8+4+4+8+8)=22\%[/tex]
Thus, the percent of the students which does not like pizza, hamburgers or chicken in the result of survey of favorite food are 22%.
Learn more about the percentage here;
https://brainly.com/question/2085058
#SPJ2
12 is what percentige of 48
Answer:
25%
Step-by-step explanation:
100% = 48
1% = 48 ÷ 100 = 0.48
12 ÷ 0.48 = 25%
Answer:
25%
Step-by-step explanation:
12/48 is simplified to 1/4 or .25 and to get a percent just move the decimal over to the right twice then you'll get 25%
pls help me plsssssssssss
Answer:
Step-by-step explanation:
I didnt answer the question but if it looks like i did i did by accident but still help me
Answer:
15% because it's 15 out of 100
A store sells small and large TV sets in the ratio 2:3.The total stock is 70 sets.1)How many small and large sets are in stock? 2)If the number of large sets is increased by 8 ,what is the new ratio of small to big
Answer: a) There are 28 small TV sets and 42 big TV sets
b) new Ratio of small and large TV set= 28:50
Step-by-step explanation:
Total stock of large and small TV=70
Ratio of small and large TV set=2:3
a) Total ratio=2+3=5
Small set=2/5 x 70= 28 small TV sets
Big set=3/5 x 70 = 42 big TV sets
b)f the number of large sets is increased by 8 then
Big set TV = 42 + 8=50
new Ratio of small and large TV set= 28:50
Using the markings below, determine which of the following is the measure of angle 2
Answer:
4. 132°Step-by-step explanation:
Both the triangles on the left and right are isosceles
The top angle of the triangle on the left:
180° - 2*69° = 42°The top angle of the triangle on the right:
90° - 42° = 48°This is the same angle as supplementary with angle 2:
∠2 = 180° - 48° = 132°Correct choice is 4
Help 10 pts!
Marcus has 10 gumballs in a bowl. There are 7 yellow gumballs, 1 red gumball, and the rest are blue. Without looking, he grabs one
gumball, puts it back, and then grabs another gumball.
What is the probability that both gumballs he grabs are yellow?
Answer:
49/100
Just took the quiz
A concrete mixing tub contains 34 liters of water and 22 liters of sand. Starting at the same time, water is added to the tub at a rate of 5 liters per minute,
while sand is also added to the tub at a rate of 7 liters per minute.
Part A
In how many minutes will the tub contain equal amounts of water and sand?
2 minutes
6 minutes
12 minutes
24 minutes
Answer:
6 minutes
6
6 minutes
6 minutes
WILL MARK BRAINLYEST! 1567584+3121350393X59=
Answer:184161240771
Step-by-step explanation:
Calculator
Answer:
184,161,240,771
Step-by-step explanation:
have a nice day!
₊˚ ‧꒰ mei ꒱ ‧₊˚
Most water treatment facilities monitor the quality of their drinking water on hourly basis. One variable monitored it is pH, which measures the degree of alkalinity or acidity in the water. A pH below 7.0 is acidic, one above 7.0 is alkaline, and a pH of 7.0 is neutral. One water treatment plant has a target pH of 8.5 (most try to maintain a slightly alkaline level). The mean and standard deviation of 1 hour's test results, based on 12 water samples at this plant are: Mean =8.24 S=.16 Does this sample provide sufficient evidence that the mean pH level in the water differs from 8.5?
Answer:
we can conclude that there is significant evidence to support the stance that mean pH value in water differs from 8.5
Step-by-step explanation:
H0 : μ = 8.5
H1 : μ < 8.5
Test statistic :
(xbar - μ) / s/sqrt(n)
(8.24 - 8.5) ÷ (0.16 ÷ √12)
-0.26 ÷ 0.0461880
Test statistic = - 5.63
The Pvalue can be obtained from the test statistic value using a Pvalue calculator :
df = 12 - 1 = 11
Pvalue = 0.000077
Using an α value of 0.05 ; we can conclude that
Pvalue < α ; We reject H0
Hence, we can conclude that there is significant evidence to support the stance that mean pH value in water differs from 8.5
A young sumo wrestler decided to go on a special high-protein diet to gain weight rapidly. He started at
90
9090 kilograms and gained weight at a constant rate. After
8
88 months, he weighed
138
138138 kilograms.
Let
W
WW represent the sumo wrestler's weight (in kilograms) after
t
tt months.
Complete the equation for the relationship between the weight and number of months.
W
=
W=W, equals
Answer:
W = 6t + 90
Step-by-step explanation:
Given :
Starting weight = intercept = 90 kg
Weight gained after 8 months = 138 kg
Using the slope intercept relation ;
We can obtain the rate of change, slope ;
y = mt + c
m = slope ; t = time after t months ; c = intercept
y = weight gained after 8 months
138 = 8m + 90
138 - 90 = 8m
48 = 8m
m = 48 / 8
m = 6
Hence, slope intercept equation equals :
W = 6t + 90
Q4. The sum of three consecutive odd numbers is 51 Find the numbers: (2)
______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
Answer:
15,17,19
Step-by-step explanation:
Here's your solution
=> let the first number be x
=> then second and third number will be
(x + 2) and (x + 4)
=> now it's given that sum is 51
=> so, x + (x + 2) + (x + 4) = 51
=> 3x + 6 = 51
=> 3x = 51 - 6
=> 3x = 45
=> x = 45/3
=> x = 15
hence ,the following number are , 15,17,19
hope it helps
3. To pay back a loan, Lauren makes 7 payments, each in the same amount. Her cousin Hilary made 5 payments, each in the same amount. Each of Hilary’s payments was $15 more than each payment Lauren made. Both cousins paid the same amount in the end. How much did each cousin pay each time?
(a) Write an equation. Let x represent the amount of one of Lauren’s payments.
(b) Solve the equation. Show your work.
(c) Check your solution. Show your work.
(d) State the solution in complete sentences.
Answer:
The answer is C
Step-by-step explanation:
Cos(8x+21)=sin(-2x+51) Find the two angles represented in degrees ??? Someone help its 1am I can't do this
Answer:
45 and 135degrees
Step-by-step explanation:
Cos(8x+21)=sin(-2x+51) Find the two angles represented in degrees ??? Someone help its 1am I can't do this
In trigonometry, cosx = sin(90-x)
Hence:
Cos(8x+21) = sin(90-(8x+21))
Cos(8x+21) = sin(90-8x-21)
Cos(8x+21) = sin(-8x+69)
Substituting into the expression given, :
sin(-8x+69) = sin(-2x+51)
-8x+69 = -2x+51
-8x+2x = 51-69.
-6x = -18.
X = 18/6
X = 3
Since the angles 8x+21
Angle = 8(3)+21
Angle = 45
The angles represented in degrees are 45 and (180-45) = 135degrees
Humphrey needs to mail a package. He weighs it at home as 20.2 ounces. When he gets to the post office, the clerk weighs it at 18.6 ounces. What is the percent error in the weight of the package, assuming that his home weight is the correct weight?
Answer:
7.92%
Step-by-step explanation:
Given the following
Weight of package at home = 20.2 ounces.
Weight of the package at the office = 18.6ounces
Decrement = 20.2 - 18.6
percentage error = decrement/wt at home * 100
percentage error = 1.6/20.2* 100
percentage error = 160/20.2
percentage error = 7.92
HEnce the percent error in the weight of the package is 7.92%
Choose the greatest-.03; .3; .291; or.34
Answer:
The greatest number would therefore be 291
Answer:
.34
Step-by-step explanation:
It's literally the biggest out of the four.
Tickets to the movies cost $9.50 for adults and $6.50 for kids. A large group bought 12 tickets and spent a total of $87. How many kid's tickets did the group purchase?
Please include an equation.
Answer:
12 ticketsStep-by-step explanation:
please brainleist please tysm☺️☺️☺️☺️☺️
Answer:
9 kid's ticketsStep-by-step explanation:
Given
Kid's tickets = k, one ticket costs $6.5, total cost 6.5kAdult tickets = a, one ticket costs $9.5, total cost 9.5aEquations:
a + k = 129.5a + 6.5k = 87Substitute a into second equation a = 12 - k and solve for k:
9.5(12 - k) + 6.5k = 87114 - 9.5k + 6.5k = 873k = 114 - 873k = 27k = 9