Answer:
Step-by-step explanation:
mdcmmmm
Write each equation in logarithmic form.
1/10=10⁻¹
The logarithmic form of the equation is [tex]log_{10}\frac{1}{10}=-1[/tex] .
In mathematics, the logarithmic function is the inverse of power. Then the function is given as f(x) = log x The logarithm base is a. This can be read as the logarithmic base a of x. The two most common bases used in logarithmic functions are base 10 and base e. The logarithm function has several properties that allow the logarithm to be simplified when the input is in the form of products, quotients, or values raised to powers.We have given an equation [tex]\frac{1}{10} =10^{-1}}[/tex] .
Taking log on both sides , we get
[tex]log(\frac{1}{10}) =log(10^{-1})[/tex] ..(1)
Applying the property of logarithm which is given by [tex]loga^b=bloga[/tex] in equation (1) ,we get
[tex]log(\frac{1}{10}) =-log(10)[/tex]
On rearranging the above equation , we get
[tex]\frac{log(\frac{1}{10})}{log10} =-1[/tex] ..(2)
Applying the property of logarithm which is given by [tex]log_xy=\frac{log_ay}{log_ax}[/tex]\
[tex]\frac{log(\frac{1}{10})}{log10}[/tex] can be written as [tex]log_{10}\frac{1}{10}[/tex] using property
Putting in equation (2) , we get
[tex]log_{10}\frac{1}{10}=-1[/tex]
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Please help will give great points
The sample space is 0, 1, 2, 3, 4, 5, 6, 7.
Set A is {0, 1, 2, 3, 4}
Set B is {1, 2,3, 4, 5, 6, 7}
The probability of selecting a number less than 5 is 5 / 8.
The probability of spinning a natural numbers is 7/8
The probability of spinning natural numbers and numbers less than 5 is 1/2
A and B is {1, 2, 3, 4}
A' and B = {5, 6, 7}
The probability of spinning a number not less than 5 or a natural number is 1 3/8
What is the sample space?A Venn diagram uses circles that overlap each other to show logical relationships between two or more sets of items. The relationship that is being illustrated with this Venn diagram is the relationship between natural numbers and numbers less than 5.
A natural number includes all positive numbers from 1 to infinity. Natural numbers does not include zero (0). The sample space represents all the possible sets of outcome. In mathematics, a set can be described as a collection of objects whose elements are fixed and cannot be changed.
The probability of selecting a number less than 5 = numbers less than 5/ total numbers
5 / 8
The probability of spinning a natural numbers = all natural numbers / total numbers
7/8
The probability of spinning natural numbers and numbers less than 5 = 4/8 = 1/2
A' = 5,6,7
B = 1, 2, 3, 4, 5, 6, 7
A' and B - 5, 6, 7
The probability of spinning a number not less than 5 or a natural number= ( 4/8) + (7/8) = 11/8 = 1 3/8
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Suppose 3 < a < 4 and 4 < b < 5. find all possible values of each expression. 1/a+1/b
9/29 < 1/a + 1/b < 7/12
Here we have two expression
3 < a < 4 and 4 < b < 5
We have to find the value of the expression
1/a + 1/b
The lower bound of the expression is when we take the maximum value of both the expression a and b
a = 4 and b = 5
From this we get
= 1/ 4 + 1/5
= 5 + 4 / 20
9/ 20
In the same way, we get the higher bound of the expression taken by taking the minimum value of both the expression a and b
a = 3 and b = 4
By putting the value of a and in the expression we get:
1/ 3 + 1/4
= 4+3 / 12
= 7/12
Thus we get the possible value of the expression :
9/20 <1/a + 1/b < 7/12
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WILL MARK BRAINLIEST!! NEED DONE NOW (will only be marked if it is correct)
From the graph of f(x) = 4|x + 1| - 3 given at the end of the answer, we have that:
The function is positive when x < -1.75 and x > -0.25, and negative for -1.75 < x < -0.25, increasing when x > -1 and decreasing when x < -1.For the end behavior, y -> + ∞ when x -> -∞ and y -> +∞ when x -> +∞.When a function is positive and when it is negative?A function is positive when it is above the x-axis.A function is negative when it is below the x-axis.When a function is increasing and when it is decreasing, looking at it's graph?Looking at the graph, we get that a function f(x) is increasing when it is "moving northeast", that is, to the right and up on the graph, meaning that when x increases, y increases.Looking at the graph, we get that a function f(x) is decreasing when it is "moving southeast", that is, to the right and down the graph, meaning that when x increases, y decreases.Hence, from the graph of the function, and the bullet points above, we have that:
The function is positive when x < -1.75 and x > -0.25, and negative for -1.75 < x < -0.25, increasing when x > -1 and decreasing when x < -1.
What is the end behavior of the function?It is given by the values of y when x -> ∞.
Hence:
For the end behavior, y -> + ∞ when x -> -∞ and y -> +∞ when x -> +∞.
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Determine the solution for 0.4(3y + -18) = 1.2y + 7.2.
No solution
Infinite solutions
y = 10
y=6
Answer:
i think its B
Step-by-step explanation:
PLEASE AWNSER MY QUESTIONS!!!!!!!!!!!!
Answer:
OKKKKKKKKKKKK
Step-by-step explanation:
POST EM PLEASE
Answer:
screenshots
Step-by-step explanation:
press ctrl f5.
Please Help, If you could provide a step by step on how to solve these it'd be greatly appreciated as well <3
Answer:
animals vs. gender:
male dogs: 74.4%
marginal distribution for female animals: 49.4%
weight class vs gender:
marginal distribution for female: 62.0%
males who are underweight: 71.5
overweight individuals: 21.8%
Step-by-step explanation:
animals vs. gender:
male dogs:
there are 43 dogs
and there are 32 male dogs
32 divided by 43
say it like 32.000 ÷ 43 = .744186
move the decimal two times to the right to find your percentage
74.4%
marginal distribution for female animals:
there are 39 females
and 79 animals
39 divided by 79
.49367
move the decimal two times to the right to find your percentage
49.36%
which would approximate to
49.4%
weight class vs gender:
marginal distribution for female:
there are 620 girls
and 1000 people
so, 620 divided by 100
write it like this 620.0 ÷ 1,000
.62
move the decimal two times to the right to find your percentage
62%
males who are underweight:
there are 93 underweight males
and 130 underweight people in total
93 divided by 130
.7153846
move the decimal two times to the right to find your percentage
71.5%
overweight individuals:
there are 218 overweight people and 1000 people in total
218 divided by 1000
.218
move the decimal two times to the right to find your percentage
21.8%
Solve the equation using multiplication or division.
-7y=28
Oy=-4
Oy = 4
O y = 14
O y = 35
Answer:
y=-4
Step-by-step explanation:
-7y=28
DIVIDE BY -7
28/-7=-4
Answer=-4
trying to figure out how to put in a question so if it works say hi as an answer
Answer:
hello!!
i like ur pfp! :)
4. 1 / 3y + 9 = 12
Linear equations
Answer:
-2.886
Step-by-step explanation:
4.1/3y+9=12
41/10/3y+9=12
41/10=12(3y+9)
41/10=36y+108
41=10(36y+108)
41=360y+1080
41-1080=360y
-1039=360y
y= -1039/360
y= -2.886
Multiply. (√5+√11)(√5-√11)
The multiplication of the expression ( √5 + √11 )( √5 - √11 ) is - 6.
Multiplication in elementary algebra is the process of figuring out the outcome of multiplying a number by a number b. The product of a and b is the outcome of multiplication, and each of the integers a and b is referred to as a factor of the product ab.
Consider the expression,
y = ( √5 + √11 )( √5 - √11 )
Using the distributive property,
a( b + c ) = ab + ac
y = (√5 + √11 )( √5 - √11 )
y = √5( √5 - √11 ) + √11( √5 - √11 )
y = ( √5 )² - √5 × √11 + √11 × √5 - ( √11 )²
y = 5 - √55 - √55 - 11
y = 5 - 11
y = - 6
The value of the expression (√5 + √11 )( √5 - √11 ) when simplified is - 6.
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The table shows the starting and ending elevations of a hiking trail.
Point on Trail
Starting Point
180 ft below sea level
Ending Point 260 ft above sea level
Elevation
How much greater is the elevation of the ending point than the starting point for the trail?
_ft
Answer:
160 people in total
Step-by-step explanation:
The table shows the starting and ending elevations of a hiking trail. Point on Trail Elevation Starting Point 180 ft below sea level Ending Point 260 ft above sea level How much greater is the elevation of the ending point than the starting point for the trail
0.0939 as a fraction
Answer:
0.0939 as a fraction is 939/10000
Step-by-step explanation:
939 all over 10,000
in 0.0939 the point move
Simplify each expression. Use only positive exponents. (3 x⁻⁴ y³)²
The simplified value of the expression using only positive exponents is 9y⁶/x⁸
How to simplify the expression using only positive exponents?The expression is given as
(3 x⁻⁴ y³)²
Apply the law of indices to expand the bracket
So, we have
(3 x⁻⁴ y³)² = 3² * x⁻⁴*² y³*²
Evaluate the products of exponents
So, we have
(3 x⁻⁴ y³)² = 3² * x⁻⁸ y⁶
Evaluate the exponents
So, we have
(3 x⁻⁴ y³)² = 9 * x⁻⁸ y⁶
Apply the law of indices to rewrite negative exponent
So, we have
(3 x⁻⁴ y³)² = 9y⁶/x⁸
Hence, the simplified value of the expression using only positive exponents is 9y⁶/x⁸
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The length of the rectangle is 4 more than the measurement of its width. The area of the rectangle is 12 m2. Find its dimensions.
(Hint: Area of a rectangle =length x width)
Pls help
The length of the rectangle is 6 meters and the width is 2 meters.
What is perimeter?Perimeter is the sum of the lengths of all the sides of a given 2D plane figure.
A rectangle area has a length that is 4 more than its width.
Assuming the width of the rectangle to be x meter,
∴ The length of the rectangle is (x+4) meters.
Also given that the rectangle area is 12 sq meters.
We know, that the area of a rectangle is a product of its length and width.
∴ [ x × (x+4) ] = 12.
x² + 4x = 12.
x² + 4x - 12 = 0.
x² + 6x - 2x - 12 = 0.
x(x+6) -2( x+6) = 0.
(x+6)(x-2) = 0.
x + 6 = 0 Or x - 2 = 0.
x = -6 or x = 2.
We know distance can not be negative so, x = -6 is inadmissible.
So, the width of the rectangle is 2 meters and length is (x+4) = (2+4) = 6 meters.
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2 + (8 - 4) + 32 * 3
Answer: 102
Step-by-step explanation:
solved
A sack of bread flour weighs 50. lbs. and costs $9.75.
What is the cost per pound of flour?
What is the cost per ounce of flour?
The cost per pound of flour and cost per ounce of flour is $0.195 per pound and 0.0121875 per ounces.
The cost per pound of flour and cost per ounce of flourWeight of a sack of bread flour = 50 lbsCost of a sack of bread flour = $9.75The cost per pound of flour = Cost of a sack of bread flour / Weight of a sack of bread flour
= $9.75 / 50 lbs
= $0.195 per pound
Convert pound(lbs) to ounce:1 pound = 16 ounces
50 pounds = 50 × 16
= 800 ounces
The cost per ounce of flour = Cost of a sack of bread flour / Weight of a sack of bread flour
= $9.75 / 800
= 0.0121875 per ounces
What is unit cost?This is the cost to acquire a unit of a good or service for a specific quantity that is purchased.
Therefore, the cost per pound of flour and cost per ounce of flour is $0.195 per pound and 0.0121875 per ounces.
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Lamont has purchased 20 trading cards and wants to have at least 42 trading cards. write and solve an inequality to find the number of trading cards lamont needs. select all of the true statements.
The inequality which helps to find the number of trading cards Lamont needs, x as required in the task content is; x + 20 >= 42 and it's solution is; x >= 22.
What is the inequality which represents the number of cards needed by Lamont?It follows from the task content that the inequality which represents Lamont's situation as described by the word phrase is required.
First, the word phrase "at least" is represented by the inequality sign, greater or equal to.
Hence, since he has 20 trading cards already and needs at least 42, the number of cards needed x is such that;
x + 20 >= 42.
Hence, the required inequality is as represented above and it's solution is;
x >= 42 -20
x >= 22.
Ultimately, The inequality which helps to find the number of trading cards Lamont needs, x as required in the task content is; x + 20 >= 42 and it's solution is; x >= 22.
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Kayla and Shawna are selling fruit for a school fundraiser. Customers can buy small boxes of tangerines and large boxes of tangerines. Kayla sold 7 small boxes of tangerines and 4 large boxes of tangerines for a total of $166. Shawna sold 7 small boxes of tangerines and 3 large boxes of tangerines for a total of $ 149. Find the cost each of one small box of tangerines and one large box of tangerines.
The price of small box of tangerines is $14.43 approx. and price of large box of tangerines is $ 17
Let the price of small boxes be x and the price of large boxes be y
we need to form a linear equation in two variable
So, Kayla's equation is
7x + 4y = 166
and Shawna's equation is
7x+ 3y = 149
Subtracting equation 2 from equation 1
7x + 4y = 166
(-) 7x +3y = 149
we get y = 17
Now substituting the value of y in equation 1
7x + 4(17) = 169
7x +68 = 169
7x = 101
x= 14.428
Hence, The price of small box of tangerines is $14.43 approx. and price of large box of tangerines is $ 17
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k/3 +16 as an expression in words
Sometimes in math we describe an expression with a phrase
"2 more than 5"
can be written as the expression
2 + 5.
Similarly, when we describe an expression in words that includes a variable, we're describing an algebraic expression
An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation. This math operation can be addition, subtraction, multiplication, or division. The structure of an expression is: Expression is (Number/variable, Math Operator, Number/variable)
There are two ways to write the given expression in words
1.The sum of the quotient of the number k by the number 3 and the number 16.
the sum (+)
quotient k/3 = k : 3
2.The sum of the third part of the number k and the number 16.
third part = k/3
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What are the slope of the two lines?
Answer:
- 3/4 for line passing through AB
- 2/3 for line passing through CD
Step-by-step explanation:
Slope = rise/run = (y2-y1)/(x2-x1) for any two points (x1, y1) and (x2, y2)
Line Passing through AB
Take points (0, 6) and (8, 0)
Slope = (0-6)/(8-0) = - 6/8 = -3/4
For line passing thru CD
take points (0, 2) and (3, 0)
Slope = (0 - 2)/(3 - 0) = -2/3
The slope of the two lines - 3/4 for line passing through AB
- 2/3 for line passing through CD
What is a meaning of a slope?
A line's steepness can be determined by looking at its slope. Slope is calculated mathematically as "rise over run" (change in y divided by change in x).The ratio of how much y grows as x grows by a certain amount is known as a line's slope. The slope of a line indicates how steep it is, or how much y rises as x rises.two points (x1, y1) and (x2, y2)
Slope [tex]m = \frac{y_{2}- y_{1} }{x_{2} - x_{1} }[/tex]
Line Passing through AB
Take points (0, 6) and (8, 0)
Slope = (0-6)/(8-0) = - 6/8 = -3/4
For line passing through CD
take points (0, 2) and (3, 0)
Slope = (0 - 2)/(3 - 0) = -2/3
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The bakery at Oaktown Grocery Store sells two types of bread, white and wheat. Last week, the store sold 4 loaves of white bread for every 5 loaves of wheat bread. If the store sold 117 loaves of bread in all last week, how many loaves of white bread did they sell?
The number of white bread sold is 65.
What is an equation?A mathematical equation that represents the relationship of two expressions on either side of the sign.
We have,
Let the White bread be M
Let the Wheat bread be N
4 loaves of white bread for every 5 loaves of wheat bread can be written as:
4M = 5N _____(1)
Total number of bread sold = 117
M + N = 117 _______(2)
The number of white bread sold:
From (1)
N = 4M / 5 Putting in (2)
M + 4M/5 = 117
(5M + 4M) / 5 = 117
9M = 117 x 5
M = 13 x 5
M = 65
Thus the number of white bread sold is 65.
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Answer:
52 i just did the test
Step-by-step explanation:
Simplify the following.
a)
3x y x 2x®
Answer:
Hi i think your question implies that
Step-by-step explanation:
3xy × 2x
=6x²y
pls rate as brainliest
What is the difference between 5 and 19?
Answer:
14
Step-by-step explanation:
19 - 5 = 14
Answer:
the difference would be 14
Leo knows that each time a dight moves one place to the left in a whole number, the value of the dight is 10 times as much
Describe an example you would show to Leo to
demonstrate that this is true for decimal numbers also.
Help me if you may
The example regarding the values of digits is also true for decimal numbers, as we showed with 0.52.
How do values of digits work?For the integer part of a number, the unit digit is worth 1, and for each subsequent digit, moving left, the value of the digit is multiplied by 10. For example 22, 22 = 2 x 10 + 2 x 1 = 22.For the fractional part of a number, the first decimal digit is worth 0.1, and for each subsequent digit, moving right, the values is divided by 10.For example, for the decimal 0.52.
.52 = 5 x 0.1 + 2 x 0.01 = 0.52.
Hence, moving a digit one place to the left, the value is 10 times as much, as we saw with digits 5 and 2 in the number 0.52.
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help i need help on this question
t-r divided by 21 and t= -6 and r= 12
Answer: (t-r) / 21 = -0.857 where, t= -6 and r= 12
Step-by-step explanation:
Given data,
t-r divided by 21
where, t= -6 and r= 12
So, we can write,
= (t-r) / 21
Let us assume,
(t-r) / 21 = x
So,
x = (t-r) / 21 { t = -6 and r = 12 (eq-1)
x = (t-r) / 21
We can substitute, t = -6 and r = 12 values in this equation 1
so, we can write,
x = (t-r) / 21
x = (-6-12) / 21
x = -18/21
x = -6/7
x = -0.857
Therefore,
(t-r) / 21 = -0.857 where, t= -6 and r= 12
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Please help me please help me
Answer:
U'(-2 , -2)
Step-by-step explanation:
U(2 , -2)
Let R be the rotation of center the origin O(0 , 0) and angle 270
Let M(z = x + iy) a point of the plane and its image M'(z' = x' + iy') by the rotation R.
Then
[tex]z^{\prime }=e^{i\frac{3\pi }{2} }\times z[/tex]
Then
x' + iy' = (0 -i)×(x + iy)
Then
x' + iy' = (-i) × (x + iy)
= -ix + y
Then
x' = y and y' = -x
Then
R transform M(x , y) to the point M'(y , -x)
Conclusion :
The image of U(2 , -2) by R is :
U'(-2 , -2)
Vani needs to order some new supplies for the restaurant where she works. The restaurant needs at least 795 forks. There are currently 315 forks. If each set on sale contains 10 forks, write and solve an inequality which can be used to determine xx, the number of sets of forks Vani could buy for the restaurant to have enough forks.
The number of sets of forks that Vani can buy for the restaurant is 48.
What is the minimum number of forks that Vani can buy?The first step is to determine the appropriate inequality sign to use:
> means greater than
< means less than
≥ means greater than or equal to
≤ less than or equal to
The inequality sign that would be used is ≥.
(Number of forks per set x number of sets that would be bought) ≥ (number of forks needed - number of forks the restaurant has)
(10 × xx) ≥ (795 - 315)
10xx ≥ 480
xx ≥ 480 / 10
xx ≥48
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Which of the following are remote interior angles of 26? Check all that apply.
A. 6
B. 5
C. 1
D. 2
E. 4
F. 3
Answer:
The answer is 6 which is A .Describe in words where cube root of 63 would be plotted on a number line. between 3 and 4, but closer to 3 between 3 and 4, but closer to 4 between 2 and 3, but closer to 2 between 2 and 3, but closer to 3
In words the place that the cube root of 63 would appear on the number line would be: between 3 and 4, but closer to 4
How to find the cube rootThe cube root of 63 would be gotten from a calculator when we use this formula
[tex]^3\sqrt{63}[/tex]
The solution that we would have from the calculator would be 3.97. The value 3.97 is known to be greater than 3 by a lot but just a little less than 4 on the number line.
3.97 can be approximated to be 4. Hence we can say that In words the place that the cube root of 63 would appear on the number line would be: between 3 and 4, but closer to 4
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