Answer:
g(x) = - ( x^2)
Step-by-step explanation:
opposite of function f
someone please help me
Step-by-step explanation:
D) (A³/2)³ = A⁹/8
A³ whole to the power 3 is A⁹
2³ is 8
Karma was given some birthday money. She puts money in an account. Every month after that, she deposits the same amount of money. The equation that models this situation is y=75x+60, where y is the amount of money in the account and x is the number of deposits. What does the y-intercept mean in this situation
Answer:
y represents the amount in the bank account after 7 months.
Step-by-step explanation:
Let karma gets x money on his birthday.
He has 60 in his account initially
He deposits teh same money for the seven months
So, the money he has after the seven months is 7 x + 60
According to the question,
y =7 x + 60
It shows that the amount after seven months is y.
What is the range of function g?
Ans
he range of function g is as under;
b
-3 ,-4
Answer:
B
Step-by-step explanation:
I just took the test.
Grade improvement and study motivation
Answer:
yes because we are leraning new things
PLEASE HELP!!
A 16 ft ladder is propped up against a building at an angle of 52°. How far up the wall does the ladder go?
a. 20.3 ft
b. 9.9 ft
c. 25.9 ft
d. 12.6 ft
Answer:
The correct answer is a) 12.6 ft
Step-by-step explanation:
I took the test and got it right:)
The branch of mathematics deals with the relations of the sides and angles of triangles and with the relevant functions of any angles. The ladder goes at a height of 12.6082 feet.
What is trigonometry?The branch of mathematics deals with the relations of the sides and angles of triangles and with the relevant functions of any angles.
Given that the length of the Ladder is 16 feet while the angle between the ladder leaning against the wall is 52°.
Trigonometric Ratios are the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle.
Using Trigonometric Ratios of sin because of opposite over hypotenuse,
sin ∅=perpendicular/hypotenuse
sin(52) = x/16
16sin(52) = x
By calculating,
x = 12.6082 feet
Hence, the ladder goes at a height of 12.6082 feet.
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10)
Ka
The longer base of a trapezoid has endpoints of (-2,- 4) and (4,0). The shorter base contains the point (3, 1).
(40)
(2)
We an equation of the line that contains the shorter base of the trapezoid. Provide valid mathematical reasoning and calculations to
you derived your equaiton.
of a trapezoid are parallel
Suation and explanation in the space provided.
Math symbols
Relations
Geometry
Answer:
y = 2·x/3 - 1
Step-by-step explanation:
The endpoints of the longer base of the trapezoid = (-2, -4), and (4, 0)
The point contained on the shorter base = (3, 1)
The slope of the line representing the longer base, m, is given as follows;
m = (0 - (-4))/(4 - (-2)) = 2/3
The slope of the shorter base = The slope of the longer base = m = 2/3
The equation of the line representing the shorter base in point and slope form is therefore;
y - 1 = (2/3)·(x - 3)
∴ y = 2·x/3 - 2 + 1 = 2·x/3 - 1
The equation of the shorter side of the trapezoid is y = 2·x/3 - 1
Angle ADB and CD are straight lines.
angle ADC = 5 x angle CDB
Work out the size of angle ADC.
Answer:
150 degrees
Step-by-step explanation:
5 + 1 = 6
180 : 6 = 30
30 x 5 = 150
Which is the graph of f(x) = (x - 1)(x + 4)?
6
4
2
2
22
2
4
6
2
B42
2
O
O
4
2
2
Answer:
Graph DStep-by-step explanation:
f(x)=(x-1)(x+4
roots x=1,-4,
x=0, y=-4
OAmalOHopeO
HELP ILL GIVE BRAINLIEST
A) 4.5×10¹¹ B) 3.5×1000
Hope it helped you
Find the solutions of the quadratic equation x2 – 6x + 8 = 0.
hope this helps! feel free to clarify
Add 1,249 and 594.
what is their sum rounded to the nearest hundred?
A. 700
B. 1,800
C. 1,900
Answer:
1249+592=1843, rounding that you get B, 1,800
Someone, please help! Thank you!
The ratio of measures of angles of a polygon is 3:1:4:1:5:9:2. What is the measure of the largest angle?
Answer:
324°
Step-by-step explanation:
Totak angles in a 7 sided polygon = 900°
Side A = 3
Side B = 1
Side C = 4
Side D = 1
Side E = 5
Side F = 9
Side G = 2
Total = 25
The largest angle has the largest ratio which is side F
Angle in side F = Ratio of side F / total ratio × 900°
= 9/25 × 900°
= 0.36 × 900°
= 324°
The largest angle = 324°
The smallest angles are angles with the lowest ratio which are side B and side D
Angle in side B = Ratio of side F / total ratio × 900°
= 1/25 × 900°
= 0.04 × 900°
= 36°
The smallest angles are angles 36°
what is the measure of each angle of a regular 14-gon? if neccessary, round to the nearest tenth.
Step-by-step explanation:
Side measuring formula is 180(n-2). ---[ n= side]
Question: 14-gon
>by using formula 180(14-2)
> 180×12
> 2160÷ 14. --[divided by 14 side in order to find one side's degree]
> 154.28°
Question 4 of 25
Suppose a normal distribution has a mean of 62 and a standard deviation of
4. What is the probability that a data value is between 58 and 64? Round your
answer to the nearest tenth of a percent.
A. 53.3%
B. 54.3%
C. 52.3%
D. 51.3%
Answer:
Step-by-step explanation:
We are looking for P(58 < x < 64). We need to find the percentage to the left of the z-scores for each of these numbers. To find the z scores, use the formula:
[tex]z=\frac{x_i-\bar{x}}{\sigma}[/tex]
[tex]z=\frac{58-62}{4}[/tex] which gives us a z-score of -1. The percentage of numbers to the left of a z-score of -1 is .1586553
Now for the other z-score:
[tex]z=\frac{64-64}{4}[/tex] which gives us a z-score of .5. The percentage of numbers to the left of a z-score of .5 is .69146246
The lower percentage subtracted from the higher gives the area in question:
.69146246 - .1586553 = .53280716, or as a percentage, 53.3%, choice A.
What is the domain of the function on the graph?
Answer:
Step-by-step explanation:
Domain covers x values only (where range covers y values only). Domains are stated from the absolute lowest x value included on the graph to the highest. Looking at our graph, we have a solid dot at x = -3, and there is no part of the graph that goes to the left of -3. So -3 is the absolute lowest x value on the graph. When you follow the blue graph, you notice that it goes off the graph "paper" and does not have a solid dot at the tail end of it. This means that the graph will go on forever. This implies infinity, which looks like this: ∞
The lowest x value is -3 and the highest is ∞ so there are a couple of ways in which you can state this:
D = {x | -3 ≤ x < ∞} or D = {x ≥ -3} Either one will work
solve for x:
4x-4<8 AND 9x+5>23
Choose 1 answer:
A: 2 3
C: There are no solutions
D: All values of x are solutions
Answer:
2<x<3
Step-by-step explanation:
4x-4<8 AND 9x+5>23
Solve the first inequality
4x-4<8
Add 4 to each side
4x-4+4 <8+4
4x<12
Divide by 4
4x/4 <12/4
x <3
Solve the second inequality
9x+5>23
Subtract 5 from each side
9x+5-5>23-5
9x >18
Divide by 9
9x/9>18/9
x>2
Put together
x<3 and x>2
2<x<3
Moosonee: -1.5°C
Cold Lake: -4.5°C
Anchorage: -9.5°C and
Moscow: -1°C
Which city is warmer?
Answer:
Moscow
Step-by-step explanation:
In negatives the greater number is less. So -1 is the greatest, and thus, Moscow is the answer.
Moscow with a temperature of -1°C is warmer than Moosonee (-1.5°C), Cold Lake (-4.5°C), and Anchorage (-9.5°C).
The temperatures provided for the cities are as follows:
Moosonee: -1.5°C
Cold Lake: -4.5°C
Anchorage: -9.5°C
Moscow: -1°C
To determine which city is warmer, we compare the temperatures.
The higher the temperature, the warmer the city.
Moscow has the highest temperature of -1°C.
Therefore, Moscow is the warmest city compared to Moosonee, Cold Lake, and Anchorage, as it has a temperature that is closer to 0°C (warmer) compared to the other cities.
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Which shows a difference of squares?10 y squared minus 4 x squared16 y squared minus x squared8 x squared minus 40 x 2564 x squared minus 48 x 9
Answer:
16 y squared minus x squared
Step-by-step explanation:
The other all expressions except 16y²-x² doesn't complete the square and its difference. Then we can check 16y²-x²,
Now take the expression 16y²-x² and we can try to solve it.
We can simplify the terms separately to associate them as perfect squares,
→ 16y² = (4y)² --- (1)
→ x² = (1x)² --- (2)
Now we can take the difference of eq. (1) and eq. (2),
→ 16y²-x²
→ (4y)²-(1x)² --- (3)
Now eq. (3) shows a difference of squares.
Another representation is,
→ (4y - x) (4y + x)
→ 16y²- x²
→ (4y)²- (1x)²
Therefore, the expression 16y²-x² shows a correct difference of squares.
Answer:
its b trust
Step-by-step explanation:
Help please need it ASAP correct
Answer:
[tex]p=-7[/tex]
Step-by-step explanation:
This is how you find it
1) Substitute the p into the equation to get 7(-7)-7=-56. Then you get -49-7=-56. This is true
Hope this helps! :)
Answer:
p = - 7
Step-by-step explanation:
7p - 7 = - 56
7p - 7 + 7 = - 56 + 7
7p = - 49
7p ÷ 7 = - 49 ÷ 7
p = - 7
If the value of a number in decimal system is 955, find its value in quinary system and in binary system.
Answer:
955 in quinary system = 12310
955 in binary system = 1110111011
Step-by-step explanation:
Quinary system is in base 5, that is, 0,1,2,3,4
955 in quinary system
955 ÷ 5 = 191 remainder 0
191 ÷ 5 = 38 remainder 1
38 ÷ 5 = 7 remainder 3
7 ÷ 5 = 1 remainder 2
1 ÷ 5 = 0 remainder 1
In reverse order of the remainder
= 12310
Binary system = 0,1
955 in binary system
955 ÷ 2 = 477 remainder 1
477 ÷ 2 = 238 remainder 1
238 ÷ 2 = 119 remainder 0
119 ÷ 2 = 59 remainder 1
59 ÷ 2 = 29 remainder 1
29 ÷ 2 = 14 remainder 1
14 ÷ 2= 7 remainder 0
7 ÷ 2 = 3 remainder 1
3 ÷ 2 = 1 remainder 1
1 ÷ 2 = 0 remainder 1
In reverse order of the remainder
1110111011
Question 2 of 5
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match each explicit formula to its corresponding recursive formula,
Given:
The different recursive formulae.
To find:
The explicit formulae for the given recursive formulae.
Solution:
The recursive formula of an arithmetic sequence is [tex]f(n)=f(n-1)+d, f(1)=a,n\geq 2[/tex] and the explicit formula is [tex]f(n)=a+(n-1)d[/tex], where a is the first term and d is the common difference.
The recursive formula of a geometric sequence is [tex]f(n)=rf(n-1), f(1)=a,n\geq 2[/tex] and the explicit formula is [tex]f(n)=ar^{n-1}[/tex], where a is the first term and r is the common ratio.
The first recursive formula is:
[tex]f(1)=5[/tex]
[tex]f(n)=f(n-1)+5[/tex] for [tex]n\geq 2[/tex].
It is the recursive formula of an arithmetic sequence with first term 5 and common difference 5. So, the explicit formula for this recursive formula is:
[tex]f(n)=5+(n-1)(5)[/tex]
[tex]f(n)=5+5(n-1)[/tex]
Therefore, the correct option is A, i.e., [tex]f(n)=5+5(n-1)[/tex].
The second recursive formula is:
[tex]f(1)=5[/tex]
[tex]f(n)=3f(n-1)[/tex] for [tex]n\geq 2[/tex].
It is the recursive formula of a geometric sequence with first term 5 and common ratio 3. So, the explicit formula for this recursive formula is:
[tex]f(n)=5(3)^{n-1}[/tex]
Therefore, the correct option is F, i.e., [tex]f(n)=5(3)^{n-1}[/tex].
The third recursive formula is:
[tex]f(1)=5[/tex]
[tex]f(n)=f(n-1)+3[/tex] for [tex]n\geq 2[/tex].
It is the recursive formula of an arithmetic sequence with first term 5 and common difference 3. So, the explicit formula for this recursive formula is:
[tex]f(n)=5+(n-1)(3)[/tex]
[tex]f(n)=5+3(n-1)[/tex]
Therefore, the correct option is D, i.e., [tex]f(n)=5+3(n-1)[/tex].
Answer:
From Edmentum :)
Complete the sentence. The amount of time it takes to drive from your house to the library is most likely to be a function of the _____.
Answer:
D. distance
Step-by-step explanation:
really ? given the choices you needed help with that ?
only D makes sense. the rest is completely ridiculous and has nothing to do with driving from the house to the library.
Find the length of side x in simplest radical form with a rational denominator.
60°
12
Submit Answer
Answer: =
attempt 1 out of 2
PLSSSSS HELP
Answer:
24
Step-by-step explanation:
cos 60 = adjacent / hypotenuse
1 / 2 = 12 / x
x = 2 ( 12 )
x = 24
if V = 1/3 BH, what is h expressed in terms of B and V?
A) 1/3VB
B) V/3B
C) 3V/B
D) 3VB
V=(1/3)(B)(h)
multiply both sides by 3
3V=Bhdivide both sides by B
3V/B=hFind the missing number 2/? =5/10
Answer:
4
Step-by-step explanation:
2/x = 5/10
Using cross products
2*10 = 5x
20 =5x
Divide each side by 5
20/5 = 5x/5
4=x
The unknown number is 4
Answer:
? = 4
Step-by-step explanation:
I am using x for ?
[tex]\frac{2}{x}[/tex] = [tex]\frac{5}{10}[/tex] ( cross- multiply )
5x = 20 ( divide both sides by 5 ) x = 4
The missing number is 4
5x+y=2 4x+y=4
how do i solve this?
[tex]\boxed{\large{\bold{\blue{ANSWER~:) }}}}[/tex]
See this attachment
[tex]\boxed{\boxed{\sf{x=-2~and~y=12 }}}[/tex]
XYZ medication 250 mg , 2 tabs qid x 14 days. How many tablets will be dispensed from the pharmacy?
Answer:
112
Step-by-step explanation:
qid means 4 times a day. So 2 x 4 is 8. Then multiply that by 14 and you get 112.
112 tablets will be dispensed from the pharmacy such that [tex]XYZ[/tex] medication [tex]250[/tex] mg, [tex]2[/tex] tabs qid for [tex]14[/tex] days.
Unitary MethodThe unitary method is a process to find the value of multiple units from the value of a single unit.
How to determine the number of tablets dispensed?[tex]2[/tex] tabs qid means [tex](2[/tex] × [tex]4)[/tex] [tex]= 8[/tex] tabs per day will be required as per prescribed medication.
So, in [tex]14[/tex] days, the number of tabs required [tex]= 8[/tex] ×[tex]14 = 112[/tex].
Thus, 112 tablets will be dispensed from the pharmacy.
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A box contains 6 red, 3 white, 2 green, and 1 black (in total 12) identical balls. What is the least number of balls necessary to take out randomly (without looking) to be sure of getting at least two white balls?
Answer:
Pick at least 4 balls to be sure that you are getting balls with the same color.
Step-by-step explanation:
Here, you want to know the least number of balls to be taken out of the box to be sure that you have all the three colors represented.
You know there are 12 identical balls, with the least numbers of balls being 1 and 2. Hence, to be able to know you have all the colors of balls represented, you will need to have taken all the less represented ones i.e the 1 and 2 , and this means that the next number of ball which would be taken will confidently confirm that you have taken all the colors since you would have exhausted picking other balls at this point.
So you shall be needing at least 4 balls picked to ensure that you have all the colors represented
When you flip a biased coin the probability of getting a tail is 0.34. Find the probability of getting a head.
Answer:
If you want to know what the probability is to get at least one Heads, then that is the same as the probability of all the events (100%, or 1) minus the probability of getting all Tails.
There are 100 coins. 99 are fair, 1 is biased with both sides as heads. With a fair coin, the probability of three heads is 0.53=1/8. The probability of picking the biased coin: P(biased coin)=1/100.
Step-by-step explanation:
The cost of a pound of nails increased from $2.22 to $2.46. What is the percent of increase to the nearest whole-number percent?
Subtract to find the amount of the increase then divide the amount of increase by the original amount:
2.46 - 2.22 = 0.24
0.24/2.22 = 0.108
Multiply by 100 to get percent:
0.108 x 100 = 10.8%
Rounded to nearest whole number = 11%