Answer:
All real numbers greater than -3
Step-by-step explanation:
The domain of a log is the baseline is greater than 0.
Set x + 3 greater than zero and solve
x + 3 > 0
x > -3
The domain of the function y = log4(x + 3) is all real numbers greater than -3, as the argument of the logarithm must be positive.
The domain of the function y = log4(x + 3) is determined by the values of x for which the logarithmic expression is defined. Since the logarithm of a number is only defined for positive arguments, we need x + 3 to be greater than zero. Therefore, the domain is all real numbers greater than -3.
What this means is x must be any number such that when you add 3 to it, the result is a positive number. A simple inequality expresses this: x + 3 > 0, which simplifies to x > -3. Hence, the correct domain is all real numbers greater than -3.
Graph the line with slope 5 and y-intercept -3.
Answer:
Step-by-step explanation:
What is the domain of this function?
the domain is your x coordinates or for this problem 1 2 3 4
Ashton had two boxes of pencils with fourteen pencils in each box. He gave six pencils to his brother. How many pencils did Ashton have left?
Answer:
22 pencils
Step-by-step explanation:
it would be 28 pencils all together, minus 6 would be 22 pencils
Ashton had 28 pencils initially and after giving 6 away to his brother, he was left with 22 pencils.
Ashton had two boxes of pencils with fourteen pencils in each box, which means he had a total of 2 x 14 = 28 pencils.
After giving six pencils to his brother, Ashton would have 28 - 6 = 22 pencils left.
Therefore, Ashton had 22 pencils after giving some to his brother.
the circumference of a circle is 11.4mm. find the length of the diameter. give your answer rounded to 3SF.
The diameter of a circle with a circumference of 11.4mm is approximately 3.63mm when rounded to three significant figures. The formula for calculating the diameter is D = C/π, where C is the circumference.
Explanation:The student is asking how to find the length of the diameter of a circle if the circumference is given as 11.4mm. To find the diameter, we can use the formula for the circumference of a circle, which is C = πD, where C is the circumference, π (pi) is a mathematical constant approximately equal to 3.14159, and D is the diameter. Rearranging the formula to solve for the diameter, we get D = C/π.
Substitute C with 11.4mm into the equation:
D = 11.4mm /π
Using a calculator:
D ≈ 11.4mm / 3.14159
D ≈ 3.63mm (rounded to three significant figures)
Therefore, the diameter of the circle is approximately 3.63mm when rounded to three significant figures.
a circle with radius 5 has a sector with a central angle of 9/10pi radians what is the area of the sector
Answer:
(9 / 10) * PI radians = .9 * PI = 2.8274333882 radians
Sector Area = Central Angle in Radians / 2 * radius^2
Sector Area = 2.8274333882 / 2 * 5 * 5
Sector Area = 1.4137166941 * 25
Sector Area = 35.3429173525
Using degrees:
Sector Area = (162 degrees / 360) * PI * radius ^2
Sector Area = .45 * PI * 25
Sector Area = 35.342917352
Step-by-step explanation:
cos(-15°) = _____.
cos 75°
-cos 345°
cos 15°
-cos 15°
Answer:
Cos 15
Step-by-step explanation:
Because they both have the same answer when you type them in the calculator
Hope this helps
The required simplified value of the given expression is cos 15°. Option C is correct.
What are trigonometric equations?These are the equation that contains trigonometric operators such as sin, cos.. etc.. In algebraic operations.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Given
= cos(-15°)
Since,
Cos[-Ф] = cosФ,
cos(-15°) = cos 15°
Thus, the required simplified value of the given expression is cos 15°. Option C is correct.
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Which points are on the graph of the equation 3-6x+2y=-5
Step-by-step explanation:
Y - intercept = (0 , -4)
X - intercept = (4/3 , 0)
You only need these two points and then you get a linear function.
First to find y-intercept, the (x) value has to be 0. So substitute 0 for (x).
You get 3-6(0)+2y=-5
now solve that. you get 3-0+2y=-5
= 3+2y=-5
= 2y = -8
= y = -4
Knowing that y = -4, x = 0. You have a point now. (0 , -4 )
Do the same for x - intercept, but this time (y) = 0. So you would get
3 - 6x + 2(0) = -5
= 3 - 6x + 0 = -5
= 3 - 6x = -5
= -6x = -8
= x = 8/6
which is app = to 4/3
A 2 m surfer is standing 12 m away from the lifeguard station. He wants to go to the Burger Shack for lunch. The Burger Shack is 14 m tall. How far away is it from the lifeguard station?
Answer:
72 meters
Step-by-step explanation:
If we take into account the relationship between the data of the problem, we have a relationship between heights and distances.
Between the height would be between the surfer and burger shack, and the known distance of 12 between the surfer and the lifeguard station.
we have the following relationship
2/14 = 12 / x
x = 14 * 12/2
x = 84
but this would be the distance between the surfer and burger shack, the distance we need would be:
84 - 12 = 72
it means that between burger shack and the lifeguard station there are 72 meters
What’s the solution to #3
Answer:
6.687898089 = r
Step-by-step explanation:
#3 Circumference is given by
C = 2 * pi *r
We know the circumference is 42
42 = 2 * pi *r
Divide each side by 2 pi
42/2pi = 2pir/ 2pi
21/pi = r
Approximating pi by 3.14
21/3.14 = r
6.687898089 = r
Cannot read in the instructions what to round to
Answer:
The answer is 6.68451
Step-by-step explanation:
3) The Morgan’s are replacing the flooring in their kitchen with ceramic tiles. They are deciding between 18 inches square tiles and 6 inches square tiles. What is the difference of the area of the two tiles they are considering?
with the 18 inch square tiles, you would cover an area of 324 in^2
with the 6 inch square tiles, you would cover an area of 36 in^2
The difference in area between an 18-inch square tile and a 6-inch square tile is 288 square inches.
The question revolves around the difference in area between two different sized ceramic tiles. To calculate the area of a tile, we use the formula Area = length imes width. Since tiles are square, the length and width are the same. For an 18-inch tile, the area is 18 inches × 18 inches, and for a 6-inch tile, it's 6 inches × 6 inches.
The area of the 18-inch tile is:
324 square inches (because 18 × 18 = 324)
The area of the 6-inch tile is:
36 square inches (because 6 × 6 = 36)
The difference in area between the two tiles is:
288 square inches (because 324 - 36 = 288).
Wyatt was cleaning his room and found 57 books under his bed he stacked the on his desk each stack had the same number of books in it and no stack had fewer than 5 books how many stacks did Wyatt make and how many books were in each stack
Answer:
19 books in 3 stacks
Step-by-step explanation:
57 divided by 3 equals 19
Wyatt could make either 19 stacks with 3 books each or 3 stacks with 19 books each, as these are the factors of 57 greater than 5.
The question is asking how many stacks of books Wyatt made if he found 57 books and placed them on his desk in stacks that all contained the same number of books, and each stack had no fewer than 5 books. We can solve this problem through the process of division, which involves dividing the total number of books by the number of books in each stack. To find out how many stacks Wyatt made and how many books are in each stack, we need to look for factors of 57 that are 5 or greater. The possible factors are 1, 3, 19, and 57. However, since each stack must have at least 5 books, the only feasible number of books per stack that will work are 3 and 19. Therefore, Wyatt could either make 19 stacks of 3 books each or 3 stacks of 19 books each.
Help plz (problly easy for you)
The second option: 4x² - x + 1
All you have to do is add the like terms:
3x² + x² = 4x²
4x - 5x = -x
-2 + 3 = 1
Combine all the results and you will get your solution!
Vehicle A gets 39 miles per 1.5 gaons of fuel. How many miles could it get on 3.5 gallons of fuel
Answer:
91 miles
Step-by-step explanation:
Let's make a proportion
miles/gallons=miles/gallons
The vehicle gets 39 miles on 1.5 gallons, and x miles on 3.5 gallons
39 miles/1.5 gallon= x miles/3.5 gallons
39/1.5=x/3.5
Now, we need to solve for x. To do this, we have to get x by itself. x is being divided by 3.5 To undo this, multiply both sides by 3.5, because multiplication is the opposite of division.
3.5*39/1.5=x/3.5*3.5
The 3.5s on the right cancel, so we are left with:
3.5*39/1.5=x
3.5*26=x
91=x
The vehicle gets 91 miles on 3.5 gallons of fuel
A paddle wheel on a boat is 8 feet in diameter. The fins along the outer edge travel at a speed of 6.7 feet per second. How long does it take the paddle wheel to complete 100 full revolutions? Round to the nearest second.
Answer:
375 seconds.
Step-by-step explanation:
Step 1
The first step is to find the Circumference of the paddle.
The Circumference of a paddle = Circumference of a circle = 2πr or πD
Where D = Diameter of the circle or Diameter of the paddle
In the question above,
Diameter of a paddle = 8 feet
Circumference of the paddle= πD
= π × 8
= 25.132741229 feet
Step 2
We have to find out first, the time it would take for the paddle to complete one revolution.
This is calculated using the formula:
Time(t) = distance travelled ÷ Speed travelled by the fins along the outer edge of the paddle
In the question,
Speed travelled by the fins along the outer edge of the paddle = 6.7 feet per second
It is important to note that the distance travelled is = Circumference of the paddle = 25.132741229 feet
Time taken to complete one revolution = 25.132741229 feet ÷ 6.7 feet per second
Time taken to complete one revolution. = 3.7511554073 seconds
Approximately = 3.75 seconds.
Step 3
If , 1 full revolution of the paddle takes = 3.75 seconds
100 revolutions =
100 × 3.75 seconds
= 375 seconds.
Therefore, it takes the paddle wheel 375 seconds to complete 100 full revolutions.
Find the radius!
Surface Area = 1,139.82 yd?
radius =
13 yd
O
12 yd
O 11yd
O
10 yd
Answer:
10
Step-by-step explanation:
A=4πr^2
r=√(A/4π)
r=√(1139.82/4π)
r=9.5=10 yd
Answer:
11 yd
Step-by-step explanation:
SA = 3[tex]\pi[/tex]r²
1139.82 = 3 × 22/7 × r²
r² = 1139.82/66 × 7
r² = 120.81
r = 10.99 = 11 yd
If A has coordinates (2, –1) and B has coordinates (–1, 1), what are the coordinates of the midpoint of AB¯¯¯¯¯¯ ?
Answer:
The midpoint of AB is (0.5,0)
The coordinates of the midpoint of AB are (1/2, 0).
What is Midpoint?A midpoint is defined as in the middle of the line connecting two points a position known as a midpoint. A location in the middle of a line connecting the two points that are equally far from both points is the midpoint.
Let two points A (x₁, y₁) and B (x₂, y₂), the midpoint between A and B is given by,
M(x, y) = (x₁ + x₂)/2, (y₁ + y₂)/2
To find the midpoint of a line segment, we average the coordinates of the endpoints.
The x-coordinate of the midpoint is the average of the x-coordinates of A and B, which is:
(2 + (-1)) / 2 = 1/2
The y-coordinate of the midpoint is the average of the y-coordinates of A and B, which is:
(-1 + 1) / 2 = 0
Therefore, the midpoint of AB is (1/2, 0).
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A terrarium is built in the shape of a triangular prism. The prism is 10 inches in height and contains 450 cubic inches of space. A triangular prism is shown. The prism is 10 inches in height and contains 450 cubic inches of space. What is the area of the base shape of the prism? square inches
Answer:
45 square inches
Step-by-step explanation:
We are told that a terrarium is constructed in a triangular prism shape with the following 10 inches tall and 450 cubic inches in volume.
We are asked to calculate the area of the base shape of the prism, we know that the volume of any triangular prism is equal to the area of the base times the height therefore:
450 = W × 10
we solve for A:
A = 450/10
A = 45
Which means that the base area is 45 square inches
Answer:
(C) 45 square inches
Step-by-step explanation:
correct on edge
If sales tax is 7.5%, what is the final cost of an $18 sweater after taxes are applied? (Round to the nearest cent)
Answer: $19.35
Step-by-step explanation: 18 x 0.075 = 1.35
18 + 1.35= 19.35
a science club has 25 members 40% are girls. how many girls are in science club
Answer:
10 members are girls.
Step-by-step explanation:
Turn 40% into a decimal: 0.40
If you read 40% of 25, of means to multiply so you multiply
0.40 x 25
and you get 10. so
10 members of the 25 are girls.
Hope that helped :))
The science club has 10 girls.
The question is asking us to calculate the number of girls in a science club where 40% of the members are girls. Since the science club has a total of 25 members, we would find 40% of 25 to determine the number of girls. To find 40% of a number, you multiply the number by the percentage expressed as a decimal. In this case, 40% is the same as 0.40.
So the calculation would be:
25 members x 0.40 = 10 girls
Therefore, there are 10 girls in the science club.
The local rodeo has a circular Pin , with a diameter of 48 feet , in which keep the horses what is the circumference or the horse pin
Answer:
The circumference of the horse pin is 150.86 feet
Step-by-step explanation:
In this question, we are to calculate the circumference of the horse pin, given that the diameter is 48 feet.
Mathematically, the circumference can be calculated using the formula
C = 2 * pi * r
where r = D/2 = 48/2 = 24 feet
The circumference C is thus = 2 * 22/7 * 24 = 1056/7 = 150.86 feet
An item is regularly priced at $41. John bought it at a discount of 15% off the regular price. How much did John pay?
Answer:
$34.85
Step-by-step explanation:
41 x 0.15 = 6.15
John saved $6.15
41 - 6.15 = $34.85
Therefore, the discount price is $34.85
Evaluate the expression below for
x = 2 5/8
4x + 9(2x + 1)
Answer: 25.8
may or may not be wrong
Step-by-step explanation:
Which equation is true if the perimeter of the rectangle is 60?
X + 5
3x - 2
OOOO
X+5= 3x-2
(x+5)+(3x-2) = 60
2(x+5)+2(3x-2) = 60
O 2(3x-2)-2(x+5) = 60
Answer:
2(x+5)+2(3x-2) = 60
because rectangle have 2 equal sides, and 2 other quals side, u just times them with 2, and sum them together? does this make sense? hope the picture explains :/
calvin invested $1000 earning 6% interest compounded annually.how much interest did he earn in 8 years? round to the nearest tenth
Answer: 1593.85(brainliest?)
Step-by-step explanation:
1.06 to the 8 power times 1000 is 1593.85
Carla can choose two of her three pairs of sneakers to take to a track meet. If the pairs of sneakers are called A, B, and C, which choice represents the sample space, S, for the event?
Answer:
s= {AB,AC,BC} edge. 2020
Step-by-step explanation:
i just did the question and it was correct
A company charges $13 plus $3 per hour to rent a boat. Abigail and Monique want to rent a boat but do not want to spend more than $20 each. Which inequality below would represent how to find the maximum number of hours the girls can rent a boat?
Final answer:
Abigail and Monique can spend a maximum of $40 together for renting a boat. Given the company's pricing model, the inequality 3h ≤ 27 represents their situation, and solving it shows they can rent the boat for up to 9 hours.
Explanation:
The question is about calculating the maximum number of hours Abigail and Monique can rent a boat, given they each do not want to spend more than $20. The company charges a $13 flat fee plus $3 per hour for renting a boat. The total amount they are willing to spend each is $40 ($20 each), subtracting the flat fee leaves $27 to be spent on the hourly rate. Therefore, the inequality to find the maximum number of hours they can rent the boat is:
3h ≤ 27
Dividing both sides by 3 gives:
h ≤ 9
So, Abigail and Monique can rent a boat for a maximum of 9 hours.
-4 + k/ 2 = -7 Please help guys!
Answer:
k=-6
Step-by-step explanation:
hey again hope this helps mark me brainliest
Answer:(happy to help)
k=−6
Step-by-step explanation:
Let's solve your equation step-by-step.
−4+k2=−7Step 1: Simplify both sides of the equation.−4+k2=−7−4+12k=−712k−4=−7
Step 2: Add 4 to both sides.12k−4+4=−7+412k=−3
Step 3: Multiply both sides by 2.2*(12k)=(2)*(−3)
k=−6
what is the domain of the exponential function y=6^x
Answer:
it is (all real numbers) or R
Step-by-step explanation:
Using function concepts, it is found that the domain of the exponential function is composed by all real numbers.
The domain of a function is the data-set that contains all possible input values.The exponential function does not have an impediment such as a even root or a denominator by itself, so, it's domain is composed by all real numbers.In the graph sketched at the end of this answer, it can be seen that the function is defined for all values of x, which also indicates the domain is composed by all real numbers.
A similar problem is given at https://brainly.com/question/4175434
very easy! 15 points!
Answer:
taxes, borrow money, regulate commerce, uniform rule of naturalization, and regulate the value.
Answer:
1. Make laws
2. Declare war
3. Tax people
4. Appoint treaties
5. establish post offices
i hope this is what you were looking for! :)
if xy=0, what must be true about either x or y
Answer:
either x or y must equal 0
Step-by-step explanation:
ts given that xy = 0
Remember that product of two numbers can be zero only if:
Both of them are zero or Either of them is zero as zero multiplied to any non-zero number will always be equal to zero. This is known as Zero Product Property.
So, if the product of x and y is equal to 0 there are two possibilities:
Both x and y are equal to 0
Either x or y must be equal to 0
Note that the condition both x and y are equal to zero is not a must condition, because even if one of them is equal to zero, the entire expression will be equal to zero.
Hence, the condition which has to be true in all cases for xy = 0 is:
either x or y must equal 0
Given that xy = 0.
Remember that product of two numbers can be zero only if:
Both of them are zero or Either of them is zero as zero multiplied by any non-zero number will always be equal to zero. This is known as Zero Product Property.
So, if the product of x and y is equal to 0 there are two possibilities:
Both x and y are equal to 0
Either x or y must be equal to 0
Note that the condition both x and y are equal to zero is not a must condition, because even if one of them is equal to zero, the entire expression will be equal to zero.
How can we say an expression is zero?A rational expression is zero when the numerator is zero. To find the values that make a rational expression zero, we set the numerator equal to zero and solve the resulting equation.
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