What is the domain of y = log Subscript 4 Baseline (x + 3)?
all real numbers less than –3
all real numbers greater than –3
all real numbers less than 3
all real numbers greater than 3
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.
Angle DXC and ________ are complementary angle?
Angle DXC and BXC are complementary angle.
Step-by-step explanation:
∠DXC complements with ∠BXC
Complementary angle means the sum of 2 angles that have a vein or form a right angle, which is 90°.
If we add ∠DXC with ∠BXC, it will form a right angle, 90°.
Hope it helpful and useful :)
We want to find the complementary angle to DXC.
We will see that the complementary angle is CXB
Let's start by defining what complementary angles are.
Two angles a and b are complementary if:
a + b = 90°.
This means that we must find another angle such that when we add it to DXC we get a right angle.
Let's look at the diagram.
We can see that we have the line AD, and there is a segment XB, such that the angle AXB is a right angle.
Then the angle DXB is also a right angle.
Now, you can see that the angle DXB is equivalent to DXC + CXB
Then we can see that the complementary angle to DXC is CXB.
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What is 5 to the 3rd power in standard form
Answer:
125
Step-by-step explanation:
5x5=25 25x5=125
5 to the 3rd power (5^3) in standard form is 1.25 * 10^2.
To express 5 to the 3rd power (5^3) in standard form, we'll calculate the result first and then represent it in standard form.
5^3 means multiplying 5 by itself three times:
5^3 = 5 * 5 * 5 = 125.
Now, to express 125 in standard form, we'll use the convention where a number is written as a product of a number between 1 and 10 and a power of 10. This form is used to make large or small numbers more manageable
To do this, we'll write 125 as 1.25 multiplied by a power of 10. Since 125 is equal to 1.25 multiplied by 100 (10^2), we can express it in standard form as:
125 = 1.25 * 10^2.
5 to the 3rd power (5^3) in standard form is 1.25 * 10^2.
In standard form, numbers are expressed as A × 10^n, where A is a number between 1 and 10, and n is an integer representing the power of 10 by which A is multiplied to form the number. In this case, A is 1.25, and n is 2, making it 1.25 × 10^2.
This form simplifies large numbers and is commonly used in mathematics and science for ease of representation.
For more such questions on standard form
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convert 250% to a fraction in simplest form. Please help! Thank you!!
Answer:
5/2
Step-by-step explanation:
A bookmark is shaped like a rectangle with a semicircle attached at both ends. The rectangle is 18 cm long and 4 cm wide. The diameter of each circle is the width of the rectangle. What is the area of the bookmark? Use 3.14 for π.
Answer:
the answer is 84.56
Step-by-step explanation:
A = lw
A = 18 · 4
A = 72
The area of the rectangle is 72 cm2.
Circle
A = πr2
A = 3.14(2)2
A = 3.14(4)
A = 12.56
The area of the circle is 12.56 cm2.
Find the area of the bookmark.
A = 72 + 12.56
A = 84.56
una señal de trafico arroja una sombra de 2,53m, mientras que en ese instante la sombra de un poste que mide 1,40m es de 1,95m avarigua la altura de la señal de trafico
Answer:
Un poste de 2,9 m de altura proyecta una sombra de 1,18 m de largo.
Al mismo tiempo, un edificio cercano proyecta una sombra de 38,25 m de largo.
¿Cuán alto es el edificio? Redondee su respuesta al medidor más cercano.
1.18/2.9 a 38,25/b
esto le dará una pista
Step-by-step explanation:
Students investigating the packaging of Rues Potato Chips, labeled 28.3 grams, randomly selected 50 bags and found a mean weight of 28.1 grams with a standard deviation of 1.4 grams. Calculate a 99% confidence interval for the mean weight of Rues potato chips.
what is 20+1?I really need help.LOL
Answer:
21.
Step-by-step explanation:
20+1=21
You can like use a calculator for this stuff...
What is the value of the expression (-3/8) (2/5)? Write your answer as a fraction in simplest. form.
Answer:
-3/ 20
Step-by-step explanation:
-3/8 * 2/5
Rewriting
-3/5 * 2/8
Simplify the right term by dividing the top and bottom by 2
-3/5 * 1/4
Multiply the numerators and then the denominators
-3/ 20
Answer:
- 3/20
Step-by-step explanation:
-3/8 * 2/5
= -6/40
= -3/20
A wedding planner uses 72 ivy stems for 18 centerpieces. When she arrives at the venue, she realizes she will only need 16 centerpieces. How many ivy steams should she use so that the ratio of ivy stems to centerpieces stay the same ?
Answer:
64 ivy stems
Step-by-step explanation:
Ratio of ivy stems to centerpieces:
72/18 = 4 ivy stems per centerpiece
Therefore,
16 x 4 = 64
Answer:
64 ivy stems
Step-by-step explanation:
There's 72 ivy stems for 18 centerpieces meaning 4 stems per 1 centerpiece.
to answer multiply by 16:
1:4 x 16 = 16 centerpieces and 64 stems
Determine the angles A and B given the following information:
a=15
b=22
Answer:
B ≈ 55. 71°
A = 34.29°
Step-by-step explanation:
The picture demonstrate on how you could solve the angles of A and B in a triangle with a given sides a and b. Angle C is a 90° .That makes the triangle a right angle triangle.
Let us find angle B
using SOHCAHTOA principle
tan B = opposite.adjacent
tan B = b/a
tan B = 22/15
tan B = 1.46666666667
B = tan⁻¹ 1.46666666667
B = 55.7131230228 °
B ≈ 55. 71°
Let us find angle A
The sum of angle in a triangle = 180° Therefore, the angle A can be solved when you subtract angle C and B from 180°.
angle A = 180° - 90° - 55.71°
angle A = 34.29°
8 points!
Anthony rode this bike from point A to point B using Cherry Street. How much FURTHER would his trip have been if he took Orange Drive and Peach Avenue instead?
a.36 yards
b.113 yards
c.28 yards
d.198 yards
Answer: c.28 yards
Step-by-step explanation:
Hi, Since the triangle is a right triangle we have to apply the Pythagorean theorem to find the lenght of Orange Dr street.
c2 = a2+b2
Where c is the hypotenuse (the longest side) and a and b are the other sides of the triangle.
Replacing with the values given
85^2 = 77^2 + b^2
7225 = 5929 +b^2
7225-5929 = b^2
1296 = b^2
√1296 = b
36 = b ( orange Dr length)
Adding the lengths of orange and Peach ave .
36+77 = 113 yards
Subtracting the length of cherry st.(85)
113 -85 = 28 yards
His trip would have been 28 yards further
The dimensions of Kara’s bedroom floor are 8 3/4 feet by 10 2/3. What if the area of her bedroom floor
Answer:
[tex]93\frac{1}{3}[/tex]
Step-by-step explanation:
The area of a bedroom floor is the width multiplied by the length. We know that the length's is [tex]10\frac{2}{3}[/tex] feet and the width is [tex]8\frac{3}{4}[/tex] feet. We just multiply the 2 fractions to find the area of her bedroom floor in feet squared
[tex]10\frac{2}{3} * 8\frac{3}{4}[/tex]
→ There area various methods but I am going to use the improper fraction method. First convert the fractions into improper fractions
[tex]\frac{32}{3} *\frac{35}{4}[/tex]
→ We can cancel out 4 and 32 with 1 and 8
[tex]\frac{8}{3} *\frac{35}{1}[/tex]
→ Multiply like normal fractions
[tex]\frac{280}{3}[/tex]
→ Convert into mixed fraction
[tex]93\frac{1}{3}[/tex]
Final answer:
The area of Kara's bedroom floor is 93 1/3 square feet, which is calculated by converting the given dimensions into improper fractions, multiplying them, and then simplifying.
Explanation:
The area of Kara's bedroom floor is calculated by multiplying the room's length by its width. The dimensions of the room are given as 8 3/4 feet by 10 2/3 feet. We first convert these mixed numbers into improper fractions: 8 3/4 becomes 35/4 and 10 2/3 becomes 32/3. To find the area, we multiply these two fractions together:
Area = (35/4) × (32/3) feet2
Now, we find the product of the two fractions:
Area = (35 × 32) / (4 × 3) square feet
Area = 1120 / 12 square feet
Area = 93 1/3 square feet
Therefore, the area of the bedroom floor is 93 1/3 square feet. When purchasing carpet, Kara would need to round up to ensure she has enough carpet to cover the entire floor, which is typically sold by the whole square foot.
The net of a rectangular prism is shown below. The surface area of each face is labeled. Which values represent the dimensions in centimeters of the rectangular prism?
Answer:
The dimensions are 3, 4 and 6 centimeters.Step-by-step explanation:
Notice that the surface of 24 square centimeters is formed by 6 times 4, which gives 24 square centimeters.
The 12 square centimeres surface is formed by 3 times 4, which gives 12.
The 18 square centimeters surface is formed by 3 times 6, which gives 18.
Therefore, the three dimensiosn to form the prism are 3 cm x 4 cm x 6 cm.
Where 6 cm is the height, 3 cm and 4 cm are the width and length.
8p = 56 what does p=
Answer:
p=7
Step-by-step explanation:
What you need to do here is to isolate p.
This way, you can find the value of p.
8p=56
We can divide both sides by 8 to make this work.
This will isolate p while keeping the equation true.
8p/8=p
56/8=7
Therefore, p=7
You read a book for 25 minutes. Then you played 2 games on the computer . Each game took 10 minutes to play which step can you ise to find the total number of minutes you spent reading your book and playing games
Answer:
you spent a total of 45 minutes
Step-by-step explanation:
you didnt give any answer choices so i just answered the question. if you spent 25 mins reading a book and 10 mins each playing 2 games (20 mins altogether) that makes a total of 45 minutes.
Hope this helps
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The radius,r , of a sphere is 4 . 3m Calculate the sphere's volume,v . Use the value 3.14 for sqaure, and round your answer to the nearest tenth. (Do not round any intermediate computations.)
Answer:
V(s) = 332,9 m³
Step-by-step explanation:
The volume of a sphere is:
V(s) = (4/3)*π*r³
if we know r = 4,3 m then
V(s) = (4/3)*3,14*(4,3)³
V(s) = 332,8693 m³
Rounding the answer to the nearest tenth
V(s) = 332,9 m³
At the gym, Ava swims every 10 days, runs every 4 days and cycles every 5 days. If she did all three activities today, in how many days will she do all three activities again on the same day?
Answer: After 20 days
Step-by-step explanation: you have to find the greatest common multiple so that the number is a multiple for each of them
since 10 is multiple of 5 you have to find the lcm of 10 and 4 or 5 and 4 which is still 20
so just multiply them and if she swims and does cycles every 10 days then you know that if she is swimming she is cycling, but if she is cycling she might not be swimming. So if running is 4 days then just multiply 4*5 = 20
In the following proportion, what does y equal? A. 156 B. 13 C. 5.2 D. 1.4
Answer:
b
Step-by-step explanation:
Answer:
Its B
Step-by-step explanation:
btw ya'll shouldn't curse kids see this stuff too.
High Flying Airlines charges $20 to check a piece of luggage up to 40 pounds. Each additional pound over 40
pounds costs $0.25. The maximum weight for a piece of checked luggage is 80 pounds. Write a function to
represent the situation.
To represent the situation, we can define a function called calculateLuggageCost that takes the weight of the luggage as an input and calculates the cost based on the given pricing structure. The function checks if the weight is less than or equal to 40 pounds and returns $20 in that case. If the weight is between 40 and 80 pounds, it calculates the additional cost by multiplying the excess weight (weight - 40) by $0.25 and adds it to the base cost of $20. If the weight exceeds 80 pounds, it returns a message indicating that the maximum weight limit has been exceeded.
Explanation:To represent the situation, we can define a function that takes the weight of the luggage as an input and calculates the cost based on the given pricing structure. Let's call this function calculate Luggage Cost. Here's how we can define it:
function calculate Luggage Cost(weight) {This function checks if the weight is less than or equal to 40 pounds and returns $20 in that case. If the weight is between 40 and 80 pounds, it calculates the additional cost by multiplying the excess weight (weight - 40) by $0.25 and adds it to the base cost of $20. If the weight exceeds 80 pounds, it returns a message indicating that the maximum weight limit has been exceeded.
Find the volume, to the nearest m to the third power of a cylinder with diameter 6 m and height 8 m
Answer: [tex]226.08m^3[/tex]
Step-by-step explanation:
[tex]V=(3.14)(3m)^2(8m)\\V=(3.14)(9m^2)(8m)\\V=226.08m^3[/tex]
Answer:
226.08m³
Step-by-step explanation:
Annie bakes cookies and cupcakes in a ratio of 5 to 1 for her gift boxes. Her school needs 36 desserts to sell in a bake sale. How many cupcakes will she bake? How many cookies will she bake?
Answer:
30 cookies and 6 cupcakes
Step-by-step explanation:
5+1=6
5:1=6
?:?=36
36/6=6
5x6=30
1x6=6
30 cookies
6 cupcakes
Annie will need to bake 30 cookies and 6 cupcakes for the bake sale based on the given ratio.
Explanation:Annie bakes cookies and cupcakes in a ratio of 5 to 1. To solve the problem, the first thing we need to do is determine how many 'parts' there are in total. In this ratio, there are 5 parts cookies and 1 part cupcake, making a total of 6 parts.
In the question, it is mentioned that Annie needs to make 36 desserts. Each 'part' can then be calculated as 36 (total desserts) divided by 6 (total parts), which is 6.
As a result, Annie will need to bake 30 cookies (5 parts multiplied by 6) and 6 cupcakes (1 part multiplied by 6).
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What is the perimeter of this shape... Captionless Image
Answer:
The shape is not there so i can not solve it
Step-by-step explanation:
Solve for n in 6(n-3)-2n=10
Answer:
the answer to your question will be n = 7
Step-by-step explanation:
as much as I would like to, I'm really not that great at explaining things
The value of x from the given equation is 7.
The given equation is 6(n-3)-2n=10.
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
Here, 6(n-3)-2n=10
6n-18-2n=10
4n-18=10
Transpose -18 to other side of the equation, we get
4n =10+18
4n = 28
Transpose 4 to other side of the equation, we get
x = 28/4
x = 7
Therefore, the value of x from the given equation is 7.
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Which situation best represents a linear function?
A.
A bakery charges a $55.00 delivery fee, in addition to $3.00 per slice for a wedding cake.
B.
A $55.00 deposit earns 3% interest each month.
C.
A small town, with an initial population of 55, has a population increase of 3% each year.
D.
The number of initial bacteria in a culture, 55, triples each hour.
Answer:
A
Step-by-step explanation:
y=3x+55
LaTasha was presented with the following data set and argued that there was no correlation between x and y. Is LaTasha correct? Use the regression equation to explain your reasoning.
Answer:
LaTasha is correct. There is no correlation between x and y. The slope of the line of best fit is zero, which shows that there is no negative or positive correlation.
No, LaTasha is not correct. To determine whether there is a correlation between x and y, we need to use the regression equation and calculate the correlation coefficient.
Explanation:No, LaTasha is not correct. To determine whether there is a correlation between x and y, we need to use the regression equation. If the regression equation is significant and the correlation coefficient is significantly different from zero, then there is a linear relationship between x and y. If the correlation coefficient is not significantly different from zero, then there is no significant linear relationship. In this case, we need to calculate the correlation coefficient and see if it is significant.
To calculate the correlation coefficient, we use the formula r = √(SSR / SST), where SSR is the sum of squared residuals and SST is the total sum of squares. If the correlation coefficient is significantly different from zero, then there is a linear relationship between x and y.
In conclusion, we cannot determine if there is a linear correlation between x and y without calculating the correlation coefficient.
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The total bill for Heather's meal was $17.00. She would like to leave a 20% tip. How much should Heather add to the amount on the bill to leave a 20% tip?
Answer:
3.40
Step-by-step explanation:
17 times .20 = 3.4
plz answer
Quick plzzz
Answer:
800
Step-by-step explanation:
782
7 is in the hundreds place. We look at the digit in the tens place. 8 >= 5 so we round the 7 up
800
Question 1 of 10
2 Points
How does translation form proteins?
O
A. Peptide bonds connect amino acids.
O
B. DNA forms a bond with RNA.
O
C. Nucleic acids bond with amino acids.
O
D. Codons link to other codons.
Answer:
A
Step-by-step explanation:
Proteins are folded forms of polypeptide chain(S) that uses amino acids as a monomer. Amino acids are joined together during translation by an enzyme (petidyl transferase) that catalyses the formation of peptide bonds to form a polypeptide
Answer:
A.
Step-by-step explanation:
The answer is that peptide bonds connect amino acids.
You want to arrive at baseball practice before 4:30pm. The drive is 15 minutes. Write the equation or inequality to determine what time should you be leaving your house?
Answer:
The inequality is:
time to leave < 4:15 pm
Step-by-step explanation:
In order to arrive before 4:30 pm in the baseball practice the time I leave my house must be less than 4:30 pm minus 15 minutes, therefore the inequality that represents this statement is shown below:
time to leave < 4:30 - 0:15
time to leave < 4:15 pm
The time to leave the house must be less than 4:15 pm.