Final answer:
To rewrite the given logarithm as a subtraction of logs, use the property that the logarithm of the number resulting from the division of two numbers is the difference between the logarithms of the two numbers.
Explanation:
The given logarithm is log11 (29/11). To rewrite this as a subtraction of logs, we can use the property that the logarithm of the number resulting from the division of two numbers is the difference between the logarithms of the two numbers.
So, log11 (29/11) can be rewritten as log11 (29) - log11 (11).
Find a positive angle less than one rotation that is coterminal with –308°.
Answer:
Step-by-step explanation:
Alright, lets get started.
We are given an angle -308 degrees.
A co-terminal angle is an angle which shares the same terminal side of the angle given.
We are asked to find its positive co-terminal angle.
When we find positive co-terminal angle, we add 360 degrees in given angle, so
positive co-terminal angle is : [tex]-308+360=52[/tex]
So, the answer is 52 degree. : Answer
Hope it will help :)
(5.9)×(5.9)×(5.9)×(5.9)
Which phrases can be represented by the algebraic expression x + 14? Check all that apply. the quotient of a number and 14 a number plus 14 fourteen less than a number fourteen more than a number fourteen taken away from a number the product of fourteen and a number a number increased by 14
Answer:
A,C,F
Step-by-step explanation:
Which phrases can be represented by the expression 60w? Check all that apply.
the product of sixty and a number
sixty times a number
the difference of a number and sixty
the quotient of a number and sixty
a number divided by sixty
the sum of a number and sixty
Answer:
Phrases 2) a number plus 14, 4) fourteen more than a number and 7) a number increased by 14 can be represented by the given algebraic expression.
Step-by-step explanation:
We are given an algebraic expression:
[tex]x + 1`4[/tex]
1) the quotient of a number and 14
2) a number plus 14
Let x be the number then, it can be written as x + 14
3) fourteen less than a number
4) fourteen more than a number
Let x be the number, then, it can be written as x + 14
5) fourteen taken away from a number
6) the product of fourteen and a number
7) a number increased by 14
Let x be the number, then, it can be written as x + 14
Phrases 2) a number plus 14, 4) fourteen more than a number and 7) a number increased by 14 can be represented by the given algebraic expression.
to obtain the graph of y=(x-8) shift the graph of y=x^2
Which relation is a function
From a survey, a reporter determined that the true proportion of residents in a city who are against expanding the airport is likely in the interval (0.71,0.78).
What is the point estimate of the proportion of residents who are against expanding the airport?
Enter your answer, as a decimal, in the box.
Answer: The point estimate of the proportion of resident who are against expanding the airport is 0.745.
Step-by-step explanation:
Since we have given that
A reporter determined that the true proportion of residents in a city who are against expanding the airport is likely in the interval (0.71, 0.78).
So, we need to find the point estimate of the proportion of residents who are against expanding the airport.
So, Point estimation of the proportion of resident would be
[tex]\dfrac{0.78+0.71}{2}\\\\=\dfrac{1.49}{2}\\\\=0.745[/tex]
Hence, the point estimate of the proportion of resident who are against expanding the airport is 0.745.
( PLEASE HELP) The points (3,-2) (-3,-2) and (-3,6) are the vertices of a triangle. Find the perimeter of the triangle. (Hint: Use the Pythagorean theorem to find the length of the hypotenuse.
What is the approximate surface area of a cylinder with a height of 12 meters and a base radius of 2 meters?
A student attempted to generate an equivalent expression using the distributive property, as shown below:
6(m + 3) = 6m + 3
What was the mistake made?
A. 6 was not multiplied by m
B. Incorrect sign was used for the first term
C. Incorrect sign was used for the second term
D. 6 was not multiplied by 3
The Distributive Property: a(b + c) = ab + ac.
To find an equivalent expression to 6(m + 3) using the Distributive Property, multiply 6 by each term inside the parentheses.
6 · m = 6m
6 · 3 = 18
The expression becomes 6m + 18.
The error the student made was not multiplying 6 by 3.
Answer:
6 was not multiplied by 3 (the last option).
If x = 15 units and h = 6 units, then what is the area of the triangle
Art mows 1/8 acre in 1/4 hour. hOw many acres does art mow per hour
Deja had two baskets of berries. One of the baskets has 3 3/8 pounds of berries and the other basket has 2 7/8 pounds of berries. She is going to split the berries evenly among 4 people. Which measure is the best estimate for the number of pounds of berries each person would receive.
The required measure of the number of pounds of berries each person would receive is 1.562 pounds.
Given that,
One of the baskets has 3 3/8 pounds of berries and the other basket has 2 7/8 pounds of berries. She split the berries evenly among 4 people. Which measure is the best estimate for the number of pounds of berries each person would receive is to be determined.
In mathematics, it deals with numbers of operations according to the statements.
Total number of berries = 3 3 /8 + 2 7/8
= 5 5 /4 = 25 / 4 pounds
Number of people = 4
pounds of berries each people can have,
= 25/ 4 / 4= 25 / 16
= 1.562 pounds
Thus, the required measure of the number of pounds of berries each person would receive is 1.562 pounds.
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find the next number in the given series?2,3,8,27,112,?
Ella is cooking a turkey and a ham for Thanksgiving. It takes 15 minutes per pound to cook a turkey and 23 minutes per pound to cook a ham. Ella is able to cook the turkey and the ham in 5 hours and 18 minutes. If the turkey weighs twice as much as the ham, how much do the turkey and the ham weigh?
Final answer:
The turkey weighs 12 pounds, and the ham weighs 6 pounds. This was determined by setting up an equation based on the given cooking times per pound, converting the total cooking time to minutes, and solving for the weight of the ham, which was then used to find the turkey's weight.
Explanation:
Calculating the Weights of Turkey and Ham
Ella is cooking a turkey and a ham for Thanksgiving. The turkey takes 15 minutes per pound to cook, while the ham takes 23 minutes per pound. Altogether, the cooking time is 5 hours and 18 minutes, which converts to 318 minutes (5 hours x 60 + 18). We are told the turkey weighs twice as much as the ham.
Let's define x as the weight of the ham in pounds. Then the turkey's weight is 2x pounds. The total cooking time for the ham is 23x minutes, and for the turkey, it is 2x multiplied by 15, which is 30x minutes. Adding both cooking times gives us the total cooking time:
23x + 30x = 318
53x = 318
x = 6
Therefore, the ham weighs 6 pounds, and the turkey weighs 12 pounds (twice the weight of the ham).
help with maths please
i think your answer is 22.5 because if you divide 15 by 8 to find out how each one works you get 1.875 and take that and multiply it by 12 because 3 stopped, you would have 22.5
A circular pizza has a diameter 10cm.what is the approximate area of the pizza?(use pi=3)
I'm a figure with six layers each of my layers is the same my bottom lame layer has a perimeter of 28 units in my volume is between 200 and 300 cubic units what is my volume
find the value of x and then classify the triangles
Answer:
6) x = 16°, scalene triangle
7) x = 45°, right triangle
Explanation:
The sum of all angles within a triangle is 180 degrees so if given two angles, we can set up an equation to solve for the missing third angle.
For question 6, our equation is 39 + 125 + x = 180. Let's solve and then classify:
39 + 125 + x = 180
164 + x = 180
164 - 164 + x = 180 - 164
0 + x = 180 - 164
x = 16
Because no two angles within the triangle have the same measure and no two legs on its edges have the same length, its classification is a scalene triangle.
For question 7, the triangle has a box that indicates one of its known angles is 90 degrees. So our equation is 90 + 45 + x = 180. Let's solve and then classify:
90 + 45 + x = 180
135 + x = 180
135 - 135 + x = 180 - 135
0 + x = 180 - 135
x = 45
Because the triangle contains a right angle indicated by that same box we used to derive that one of the angles measured 90 degrees, we can determine that this classification is a right triangle.
According to the rational root theorem -7/8 is a potential rational root of which function.
A.f(x)=24x^7+3x^6+4x^3-x-28
B.f(x)=28x^7+3x^6+4x^3-x-24
C.f(x)=30x^7+3x^6+4x^3-x-56
D.f(x)=56x^7+3x^6+4x^3-x-30
What is x?
x-1 / x-1 = -1
|x-1| / | x-1 | = 1
|x-1| / |x-1| = -1
Pls Help!!!
Need it by 15 minutes.
Answer:
|x-1| / | x-1 | = 1
Step-by-step explanation:
In Samantha's English class, her current grade is calculated by finding the average of the scores she received on her terms papers. Samantha's last term paper brought her average up to a 91 from an 89, which was her average from the first three. Samantha claims that she scored a 97 on her fourth term paper. Is Samantha's claim true?
There are (10^8)^2 ⋅ 10^0 candies in a store. What is the total number of candies in the store?
1
10^10
10^16
10^17
^ = the power of...
Karen's mother picked 3 pears for every 7 apples she picked. If she picked a total of 170 items, how many were pears?
Final answer:
Karen's mother picked 51 pears. The ratio of pears to apples picked was 3:7, and using the total number of items (170), we set up and solved two equations to find the number of pears.
Explanation:
The question is about determining how many pears were picked if Karen's mother picked 3 pears for every 7 apples, with a total of 170 items picked. Let's let P represent the number of pears and A represent the number of apples. We know the following ratios and totals:
3 pears for every 7 apples, so P:A = 3:7 The total number of items picked is 170, so P + A = 170We can use these ratios to set up two equations:
P = 3/7 * A P + A = 170By substituting the first equation into the second, we get:
(3/7 * A) + A = 170
This simplifies to:
(10/7) * A = 170
Dividing both sides by (10/7) we find:
A = 170 * (7/10)
A = 119
Substituting A back into the P + A equation:
P + 119 = 170
P = 170 - 119
P = 51
So, Karen's mother picked 51 pears.
When designing a building, you must be sure that the building can withstand hurricane force winds, which have a velocity of 73mi/h or more. The formula f = 0.004av2 gives the force f in pounds exerted by a wind blowing against a flat surface. A is the area of the surface in square feet and v is the wind velocity in miles per hour. How much force is exerted by a wind blowing at 81 mi/h against the side of the building shown?
To calculate the force exerted by the wind blowing against the side of the building, you can use the formula f = 0.004av², where f is the force, a is the area of the surface, and v is the wind velocity. Given the wind velocity of 81 mi/h, you need to determine the area of the surface to calculate the force.
Explanation:The formula to calculate the force exerted by a wind blowing against a flat surface is given as f = 0.004av², where f is the force in pounds, a is the area of the surface in square feet, and v is the wind velocity in miles per hour.
In this case, we are given that the wind velocity is 81 mi/h. To calculate the force exerted by the wind, we need to know the area of the surface.
Once we have the area, we can substitute the values into the formula and calculate the force.
Find the simplified product: The Squareroot of 8 x the square root of 98
Final answer:
The simplified product of the square root of 8 and the square root of 98 is determined by multiplying the numbers under the square roots to get √784, which is a perfect square. Hence, the product simplifies to 28.
Explanation:
To find the simplified product of the square root of 8 and the square root of 98, we can use the property of square roots that allows us to multiply the numbers under the radicals first, before taking the square root of the resultant product. This is a form of simplifying square roots when dealing with exponentials.
Firstly, multiply the numbers inside the square roots:
√8 × √98 = √(8 × 98)
Calculate the product:
8 × 98 = 784
Now we have:
√8 × √98 = √784
By squaring of exponentials, we know that the square root of a perfect square is the base number:
√784 = 28 (since 28 × 28 = 784)
Therefore, the simplified product is 28.
The simplified product of the square root of 8 and the square root of 98 is 28, achieved by using the property of radicals and simplifying the exponents within the radical.
Explanation:To find the simplified product of the square root of 8 and the square root of 98, we can use the property of radicals where the product of two radicals can be combined into one radical, such that √(a) * √(b) = √(ab). To simplify further, we factor each number into its prime factors: 8 = 2³ and 98 = 2 * 7². We then combine the radicals: √(8) * √(98) = √(2³) * √(2 * 7²) = √(2´ * 7²).
Based on the properties of exponents and radicals, we can take the square roots of exponentials by finding which factors have exponents that are multiples of 2. In our case, we have 2´, which simplifies as 2², and 7², which is already a perfect square. Thus, √(2´ * 7²) simplifies to 2² * 7 = 4 * 7 = 28. So the simplified product of √(8) * √(98) is 28.
The figure shows a trapezoid with a height of 4 units. The area of the trapezoid is 20 square units. Select all of the dimensions for a and b that would represent the trapezoid
A=12h(b1+b2) solve for b1 please.
Isolate b1 in the equation A=12h(b1+b2) by first subtracting 12h*b2 from both sides and then divide both sides by 12h. The result is b1 = (A - 12h*b2) / 12h.
Explanation:In order to solve the equation A=12h(b1+b2) for b1, we need to isolate b1. We begin by subtracting the product of 12h times b2 from both sides of the equation. This gives us A-12h(b2) = 12h(b1).
Next, we divide both sides of the equation by 12h to solve for b1, resulting: b1 = (A - 12h*b2) / 12h.
So, if you can determine the values of A, b2, and h from your problem, you can substitute those in to get your solution for b1.
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What are these two answers? please help.
Tara is researching the stork population living in a bird reserve. On her first day, she captures and tags 41 birds. Two weeks later, she captures 57 birds and finds that 48 are not tagged. Estimate the actual number of storks in the bird reserve
pedro's father is building a shed, how many square feet of wood are needed to build the back of the shed
To find the required square feet of wood for the back of a shed, multiply the height by the width of the back wall to calculate its area.
Explanation:To determine how many square feet of wood are needed to build the back of a shed, you need to know the height and width of the back wall of the shed. Assuming you have these measurements, you calculate the area in square feet by multiplying the height by the width.
For example, if the back of the shed is 10 feet high and 12 feet wide, you would calculate the area as follows: 10 feet (height) x 12 feet (width) = 120 square feet. This calculation gives you the total area in square feet of the wood needed for the back of the shed. Remember, the area of a flat surface is calculated by the formula length x width.