The graph of log₂ x will be given below. Then the correct option is D.
The complete question is attached below.
What is a logarithm?Exponents can also be written as logarithms. A number base logarithm is similar to some other number. It is the exact inverse of the exponent expression.
The function if given below.
f(x) = log₂ x
Then the graph of log₂ x will be given below.
Then the correct option is D.
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x is less than or equal to 1.
0x<1
01sx
Ox21
Ox≤ 1
Answer:
the correct answer is O. x ≤ 1
Step-by-step explanation:
the rest are wrong because of the equal to sign in inequalities
what will 5: ? if 1:9
Answer:
5:45
Step-by-step explanation:
because you multiply 5 by 9
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how many integers between 2023 and 5757 have 12, 20, and 28 as factors
Answer:
9 integers between 2023 and 5757 that have 12, 20, and 28 as factors.
Step-by-step explanation:
An integer that has 12, 20, and 28 as factors must be divisible by the least common multiple (LCM) of these numbers. The LCM of 12, 20, and 28 is 420. So we need to find the number of integers between 2023 and 5757 that are divisible by 420.
The first integer greater than or equal to 2023 that is divisible by 420 is 5 * 420 = 2100. The last integer less than or equal to 5757 that is divisible by 420 is 13 * 420 = 5460. So the integers between 2023 and 5757 that are divisible by 420 are 2100, 2520, ..., 5460. This is an arithmetic sequence with a common difference of 420.
The number of terms in this sequence can be found using the formula for the nth term of an arithmetic sequence: an = a1 + (n - 1)d, where an is the nth term, a1 is the first term, d is the common difference, and n is the number of terms. Substituting the values for this sequence, we get:
5460 = 2100 + (n - 1)420 3360 = (n - 1)420 n - 1 = 8 n = 9
So there are 9 integers between 2023 and 5757 that have 12, 20, and 28 as factors.
PLZ HeLpPP FASTTTTT
Answer:
0,6,12,18,24. hope this helps :)
Approximately what is the sale price of a skateboard listed at $159.69 with a 25% discount?
Answer:
159.69*0.75 = 119.76
Step-by-step explanation:
Cause we have a 25% discount, that means that the skatebord costs 75% of its original price.
The 75% of the original price is the 75/100 part (0.75)
decide whether each proposed multiplication or division of measurements is possible. if it is possible, write the result in the last column of the table.
1. The unit g/cm³ is valid. So, division of measurements is possible.
2. The unit mm is valid. So, division of measurements is possible.
3. The unit L² is not valid. So, multiplication of measurements is not possible.
What are measurement units?
The group of units used to quantify different physical quantities collectively known as the units of measurement. Since ancient times, we have measured these things using many units, including length, mass, volume, current, and temperature.
1. 63g/7cm³ = 9 g/cm³
The density of a substance indicates how dense it is in a given area. Mass per unit volume is the definition of a material's density. In essence, density is a measurement of how closely stuff is packed. It is a particular physical characteristic of a specific thing.
The unit g/cm³ is a unit for measuring density.
Therefore, the division of measurements is possible.
2. The m or mm must be converted so that the units are the same.
1 m = 1000 mm.
Convert the meters to mm:
0.080 m = 80 mm.
480 mm²/80 mm = 6 mm
The word "area" refers to a free space. A shape's length and width are used to compute its area. Unidimensional length is expressed in terms of feet (ft), yards (yd), inches (in), etc.
The mm² is a unit for measuring area.
The m is a unit for measuring length or width.
Therefore, the division of measurements is possible.
3. (4.5 dL) × (0.70 L)
Liquid volume is a term used to describe how much 3-D space a given amount of liquid takes up.
Volume of a liquid is measured in litres (L).
Squaring Litres doesn't make any sense.
Therefore, the multiplication of measurements is not possible.
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Use Polya's four-step problem-solving strategy and the problem-solving procedures presented in this lesson to solve the following exercise.
Find the following sums without using a calculator or a formula. Hint: Apply the procedure used by Gauss. (See the Math Matters on page 31.)
+393 +394 + 395
(a) 1+2+3+4+...+392
(b) 1+2+3+4
x
546 + 547 +548 + 549
(c) 2+4+6+8+...+76 + 78 + 80 +82
(a) The sum of the series 1+2+3+4+...+392 is 77,028.
(b) The sum of the series 1+2+3+4...x is (x/2)(1 + x).
(c) The sum of the series 546 + 547 + 548 + 549 is 2,190.
To solve the exercise using Polya's four-step problem-solving strategy, we will apply the procedures presented in the lesson.
(a) For the series 1+2+3+4+...+392:
Using the arithmetic series formula Sn = (n/2)(a + l), where n is the number of terms, a is the first term, and l is the last term, we can substitute the values: Sn = (392/2)(1 + 392) = 196(393) = 77,028.
(b) For the series 1+2+3+4...x:
To find the sum of this series, we need to know the number of terms (n) based on the value of x. Since the series follows a consecutive pattern, the number of terms will be equal to x itself. Thus, the sum of the series would be Sn = (x/2)(1 + x).
(c) For the series 546 + 547 + 548 + 549:
Using the arithmetic series formula Sn = (n/2)(a + l), we can determine the number of terms (n) by subtracting 546 from 549 and then adding 1: n = 549 - 546 + 1 = 4. Substituting the values into the formula: Sn = (4/2)(546 + 549) = 2(1095) = 2,190.
The final answer for each part is:
(a) The sum of the series 1+2+3+4+...+392 is 77,028.
(b) The sum of the series 1+2+3+4...x is (x/2)(1 + x).
(c) The sum of the series 546 + 547 + 548 + 549 is 2,190.
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*
6. Write the mixed number as an improper fraction. 11/8
Answer:
1 \(3/8\)
Step-by-step explanation:
Draw a line segment of length 6.4 cm and divide it in to 4 equal parts. Write the length of each part. (Draw clearly)
Answer:
The line drawn has a length of 6.4 cm.
Also it is divided into 4 equal parts.
Hence let the measure of the each equal part be ' x '
So x * 4 parts = 6.4 cm
=> x = 6.4 cm / 4
=> x = 1.6 cm
Hence the measure of each equal part is 1.6 cm.
Hence solved !
Step-by-step explanation:
-6 + 13 show all work
Negative two is equal to x divided by the sum of x and five
Shown in pic
Source: Trust me
find slope and the y-intercept of the lines described by the equation below
Answer:
slope = (4/5)
y-intercept = -10
The ratio of apples to strawberry's is 2:10 if there is 60 strawberry's how many apples are there
Which of the following represents an equation of a line parallel to one whose equation is 2x + 8x = 18
Answer:
y=-4x+3
Step-by-step explanation:
it does not show the equations that are following
but the main thing you need to know is that when two lines are parallel they have the same slope
and do you mean 2x+8y=18 not x?
edit:
answer choices: y=-4x+3, y=8x-2, y=4x+7, y=-8x+9
2y+8x=18
first change that equation to slope intercept form to find the slope
2y = -8x+18 -> y = -4x+9
slope is -4
so the answer is y=-4x+3 because it also has a slope of -4
subtract 8 from 10, then add n to the result
Answer:
(10-8) + n
Step-by-step explanation:
Good luck with your work!
Answer and Step-by-step explanation:
To subtract 8 from 10, it would look like this:
10 - 8.
Now, we add n to the result.
(10 - 8) + n
The question said not to simplify any part of this, so this is the expression.
(10 - 8) + n
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wHAT IS THE NEXT NUMBER IN THE FOLLOWING SERIES OF NUMBERS 1,4,8,13,19
Answer:
26
Step-by-step explanation:
a_n = 1/2 (n^2 + 3 n - 2) (for all terms given)
1, 4, 8, 13, 19, 26, 34, 43, 53, 64, 76, 89, 103, 118, 134, 151, 169, 188, 208, 229, ...
Answer:
26
Step-by-step explanation:
The difference between 1 and 4 is 3
The difference between 4 and 8 is 4
The difference between 8 and 13 is 5
The difference between 13 and 19 is 6
The difference between 19 and 26 is 7
By rounding to 1 significant figure, estimate
288.7
×
7.8
Answer:
2251.86
Step-by-step explanation:
hope this works
The multiplication is gives 2400.
What is significant figure?Significant figures are the number of digits in a value, often a measurement, that contribute to the degree of accuracy of the value.
Given number:
288.7 x 7.8
Now, rounding to 1 significant figure
288. 7 = 300
7.8 = 8
So, the multiplication is as follows:
=300* 8
= 2400
Hence, the multiplication is 2400.
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How much more interest to your parents have to pay at the end of the first month because their rating is good rather than excellent?
The interest to pay at the end of the first month C. $18.71.
How to find the monthly interest?To calculate the monthly interest rate, divide the annual percentage rate by 12. For excellent credit, the monthly rate is 4.75% / 12 = 0.3958%, and for good credit, the monthly rate is 5.00% / 12 = 0.4167%.
The total cost of the mobile home including sales tax is $92,738 ($89,000 x 4.2% sales tax). With a $3,000 down payment, the amount financed is $89,738.
For excellent credit, the monthly interest rate :
= 4.75% / 12
So, the interest charged in the first month is $89,738 x 4.75% / 12 = $355.21
For good credit, the monthly interest rate is 0.4167%. So, the interest charged in the first month is $89,738 x 0.004167 = $33.91.
The difference in interest charged between good and excellent credit is $373.91 - $355.21 = $18.71.
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The complete question is:
Your parents are purchasing a mobile home for $89,000. The sales tax is 4.2%, they make a $3,000 down payment. How much more interest do your parents have to pay at the end of the first month because their rating is good rather than excellent?
Secured Unsecured
Credit APR (%) APR (%)
Excellent 4.75 5.50
Good 5.00 5.90
Average 5.85 6.75
Fair 6.40 7.25
Poor 7.50 8.40
Options:
$29.39
$21.10
$18.71
$19.02
What is the image of (3, 5) under the translation (x, y) - (x - 4, y + 6)?
Answer:
can you give me a picture?
Step-by-step explanation:
The image of (3, 5) under the translation (x, y) - (x - 4, y + 6) is, (-1, 11)
What is the point?A point is a location of an object by taking reference of origin, In general case we consider it at (0,0), At the origin value of both the coordinate position is considered as Zero, In simple words point indicates how much it is above or below from the coordinate axes.
Vertical distance from the x axis is known as y coordinate and horizontal distance from the y axis is known as x coordinate.
Given that,
Point for the coordinate system before translation (x, y) is (3, 5)
The image of (3, 5) under the translation (x, y) - (x - 4, y + 6) = ?
For image we simply need to calculate,
Point in the translated coordinate system
we can do it by simply putting values of x and y in the given condition,
The image of (3, 5) under the translation (x, y) - (x - 4, y + 6) = (3 - 4,5 + 6)
⇒ (-1 , 11)
Hence, The image is (-1 , 11)
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Which of the following is the maximum value of the function y=–2x2 + 5?
Answer:
( 1. 6 )
Step-by-step explanation:
Use the formula:
x = - b/2a
to find the maximum and minimum.
Answer: (1, 6 )
Step-by-step explanation:
This should help:
x = - b/2a
2. Joe went the video game store. Normally, each game costs $60. However,
the store was having a sale of 15% off all games.
Part A: If Joe buys 2 games, how much money does he save?
(1 point)
Part B: Joe ends up spending $153 on games. How many games did he buy? (1
point)
Answer:
A= $18 B=3
Step-by-step explanation:
He gets $9 off each game. 51 multiplied by 3 is $153. I hope this helps!! Please mark me brainliest!
What is angle
Enter your answer in the box
Answer:
CAB is 37 degrees
Step-by-step explanation:
90 + 53 = 143
180 - 143 = 37
What is the percentage equivalent to 16 over 40?
Answer:
16/40 = 40%
Step-by-step explanation:
I divided 16/40 and got 0.4,
To turn a decimal into a percentage, either multiply by 100 or move the decimal to the right 2 times.
Find the height of the tower using the information given in the illustration.
using SOH CAH TOA
Tan 85.144 =h/130
h=tan 85.144*130
h=1530.19 fr
PLEASE HELP ME ANSWER THIS QUESTION ASAP!!
Will give brainliest if correct and 25+ points!
Answer: They are both correct. Student B is correct because they are following PEMDAS, which means the first step would be solving things inside the parentheses and then multiplying the sum to 17. Student A, however, uses the distributive property, where she multiplies 17 to both 4 and 15 and then adds the two together. Both methods give you the same answer of 323.
Step-by-step explanation:
what is the image point of (3,9) after a translation right 3 units and up 1 unit.
WILL GIVE BRAINLIEST IF U GET IT RIGHT
Answer:
4,6
Step-by-step explanation:
Answer:
The answer would be (6, 10).
if two angle measurements of a triangle are 90 and 60 what is the third angle?
please show all steps
Given
Two out of three angles of a triangle measures 90° & 60° respectivelyTo find
The third angleWe know that,
Measure of all three angles of a triangle = 180°Let the third angle be ,'x'
then,
x + 90° + 60° = 180°x + 150° = 180°x = 180° -150°x = 30°Hence,the third angle would measure 30°
A circle has a radius of 30 cm and a central angle that measures 312 degrees. Find the length of the arc defined by this central angle
The length of the arc defined by the central angle of 312 degrees is 26π cm.
The formula for the arc length of a circle is given by:
L = (θ/360) × 2πr
where L is the length of the arc, θ is the central angle in degrees, and r is the radius of the circle.
Substituting the given values, we get:
L = (312/360) × 2π(30)
L = (26/30) × π × 30
L = 26π cm
Therefore, the length of the arc defined by the central angle of 312 degrees is 26π cm.
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Find the square root of 9 by long division method
The square root of 9 by long division method will give an answer of 3.
Steps in finding the square root1: Group the digits of 9 into pairs from right to left. Since 9 is a single-digit number, we can consider it as a pair by itself.
2: Find the largest number whose square is less than or equal to the leftmost pair. In this case, the largest number whose square is less than or equal to 9 is 3.
3: Write 3 as the divisor on the left, and the quotient on the top right.
3 √ 9 | 0
4: Multiply the divisor (3) by the quotient (3), and write the result under the 9.
3 √ 9 | 0
- 9
5: Subtract the result (9) from the leftmost pair (9), and write the difference (0) below the line.
3 √ 9 | 0
- 9
0
6: Bring down the next pair (0) to the right of the difference.
3 √ 9 | 0
- 9
0
-----
7: Double the quotient (3) and write a blank space to the right.
3 √ 9 | 0
- 9
0
-----
0
?
8: Find a digit to fill in the blank space, such that when the new divisor (37) is multiplied by the digit, the result is less than or equal to the current dividend (0). In this case, the largest digit we can use is 0.
9: Write the digit (0) as the new quotient, and write the product of the new divisor (37) and the new quotient (0) below the line.
3 √ 9 | 0
- 9
0
-----
0
0
10: Subtract the product (0) from the current dividend (0), and write the difference (0) below the line.
3 √ 9 | 0
- 9
0
-----
0
0
- 0
11: Since there are no more pairs to bring down, we have reached the end of the division. The square root of 9 is 3.
√9 = 3.
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Is the data set approximately periodic?
If so, what are its period and amplitude?
Hour
Number of cars
1 2 3
4
5
6
7 8 9 10 11 12
52 76 90 75 91 104 89 105 119 103 121 135
The data set is approximately periodic with a period of 3 and an amplitude of about 7.5.
How to explain the valueThe period is the length of time it takes for the data to repeat itself. In this case, the data repeats itself every 3 hours. The amplitude is the distance between the highest and lowest values in the data set. In this case, the amplitude is about 7.5 cars.
Hour | Number of cars
------- | --------
1 | 90
2 | 52
3 | 76
4 | 75
5 | 91
6 | 104
7 | 89
8 | 105
9 | 119
10 | 103
11 | 121
12 | 135
As you can see, the data repeats itself every 3 hours. The highest value in the data set is 135 cars, and the lowest value is 52 cars. The difference between these two values is 83 cars, which is about 7.5 times the average number of cars (90 cars). Therefore, the amplitude of the data set is about 7.5 cars.
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