The standard height of the television is 12 inches.
What are ratios?
By comparing two amounts of the same units, the ratio can be used to calculate how much of one item is included in the other.
The given ratio is 4:3. Let us take a variable 'x' such that 4x=16 and 3x=height.
We find x from 4x=16
x=4
Now putting the value of x in 3x, we get 12 inches.
Therefore, the height of the television is 12 inches.
To learn more about ratios, visit the following link:
https://brainly.com/question/13419413
#SPJ1
The standard height of the television is 12 inches.
The aspect ratio of a screen is the ratio of the width to the height. In the case of a television screen with a 4:3 aspect ratio, the width is 4 units and the height is 3 units.
If we let "h" represent the height of the television screen, we can set up the following equation:
4:3 = 16:h
To solve for "h", we can cross-multiply to get:
4h = 48
Dividing both sides by 4, we get:
h = 12
So the height of a television screen that is 16 inches wide and has a 4:3 aspect ratio is 12 inches.
what is aspect ratio?
The aspect ratio of a screen is the ratio of the width to the height of the viewable area of the screen. It is usually expressed as two numbers separated by a colon, such as 16:9 or 4:3.
Aspect ratios are used in a variety of applications, including television screens, computer monitors, and movie theaters. Different aspect ratios are used for different types of content, and some screens can be adjusted to display content in different aspect ratios.
To learn more about Aspect ratios follow link:
https://brainly.com/question/23962371
#SPJ1
Which equation justifies why 73=3√7? (1 P
(73) - 7(6-0)-7
=7
O
O
° () .,(-4).
73
=7
(1)-(-)-
= 7
= 7
? (1 point)
Seven to the one third is the power all raised to the third of the power equals seven to the one of the third times three of power equals to seven.
What is power?Power is the amount that is the energy of to transferred or the converted per the unit.
Applying Power of a Power Property,
(X^a)^b= x^a×b
i.e. a power to the power, multiply by the exponents as
7^1/3 =√7
√7=7^1/3
We have given, seven to the one third power equals to the cube root of seven of
7^1/3=√7
√7= 7^1/3
Raise to the third power,
[7^1/3]^3
Applying the property ,
7^3/3=7^1 =7
i.e. seven to the one thirdly power all of the raised to the thirdly power equals to seven to the one of third times of three power equals to the seven.
To know more about power click-
https://brainly.com/question/1634438
#SPJ1
Which value for x makes the sentence true? 4x - 2 = 18 A. x = 5 B. x = 4 C. x = 24 D. x = 20
Answer: X = 5
Step-by-step explanation:
4x - 2 = 18
+2 +2
4x = 20
/4 /4
x = 5
4(5) -2 =18
20 - 2 =18
18=18
A bag contains 10 balls.
4 are red and 6 are blue.
2 balls are taken from the bag at random without replacement.
a) Write down the probability that there are at least 2 red balls still in the bag. (1)
b) Write down the probability that there are at least 3 red balls still in the bag. (3)
Your final line must say, P(at least 3 red) = a/b where a and b are integers.
Feedback
Total marks: 4
Answer:
Step-by-step explanation:
a) since there are 4 red balls, at least 2 of them will ever remain in the bag
probability = 100% = 1
b) probability that 2 red balls are taken
4/10 x 3/9
2/5 x 1/3
2/15
15/15 - 2/15 = 13/15
P(at least 3 red) = 13/15
what is the probability of drawing two aces from a standard deck of cards, given that the first card is an ace? the cards are not returned to the deck.
1/34 is the probability of cards are not returned to the deck.
What does the math term "probability" mean?
Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out.
Statistics is the study of events subject to probability.
A = the first card of ace.
B = Drawing two ace from a standard deck
P(AB) = ²C₄ / ²C₃₂
P(A) = ¹C₄ ¹C₅₁ / ²C₃₂
P(B/A) =P(AB)/P(A)
= ²C₄ / ²C₃₂ * ²C₃₂ / ¹C₄ ¹C₅₁
= ²C₄ /¹C₄ ¹C₅₁
= 1/2 * 17
= 1/34
Learn more about Probability
brainly.com/question/11234923
#SPJ4
Hugo decided to pay $2 a week to his brother to buy a bicycle. The equation y – 10 = –2(x – 10) models the amount of money he owes for the bike, where x is the number of weeks and y is the amount of money he still needs to pay.
How much did the bicycle cost?
Hugo needs 15 weeks to pay back his brother completely if he pays $2 a week.
What is an equation?
An equation is written in the form of variables and constants separated by the operation of multiplication and division.
An equation states that terms in different forms on both sides of the equality sign are equal.
Multiplication and division do not separate the terms of an equation.
According to the given question:
Hugo decided to pay $2 a week to his brother to buy a bicycle.
The equation y - 10 = - 2(x – 10) models the amount of money he owes for the bike, where x is the number of weeks and y is the amount of money he still needs to pay.
To pay back to the brother he must owe no money which is y = 0.
∴ The weeks needed is,
0 - 10 = -2(x - 10).
- 10 = -2x + 20.
2x = 30.
x = 15.
He needs 15 weeks to pay back completely.
To know more about equations here :
brainly.com/question/10413253
#SPJ1
S
Melissa wants to make a table representing the area of her vegetable garden for a variety of different
lengths of the tomato patch. She uses her area expression to create the table.
Complete the table by typing the correct answer in each box. Use numerals instead of words. Do not
round your decimal answers.
n
3
Length of Tomato Patch
(in feet)
Area of Vegetable Garden
(in square feet)
338
18. 38
ng
to
0
in
6. 5
42. 25
12. 13
147. 25
49
7
m
our
Dart B
hall nenners. Since the space
The appropriate numerical values to fill out Melissa's table using the area of the square are:
(A) 13√2 or 18.384776 ft.
(B) 42.25 square ft.
(C) 12.13466 ft.
(D) 49 square ft.
What is the area?The area is the total amount of space that an object's shape or a flat (2-D) surface occupies.
Create a square on paper by using a pencil.
Two dimensions make it up.
A shape's area on paper is the space it takes up.
Imagine that your square is made up of smaller unit squares.
So, the area of the square:
A = x²
By changing the parameters in the formula, we obtain:
338 = x²
x = √338
x = √2 × √169
x = 13√2 or 18.384776 feet.
Following is row 2:
A = 6.5²
A = 42.25 square feet.
The following is row 3:
147.25 = x²
x = √147.25
x = 12.13466 feet.
Regarding row 4, we have:
A = 7²
A = 49 square feet.
Therefore, the appropriate numerical values to fill out Melissa's table using the area of the square are:
(A) 13√2 or 18.384776 ft.
(B) 42.25 square ft.
(C) 12.13466 ft.
(D) 49 square ft.
Know more about the area here:
https://brainly.com/question/25292087
#SPJ4
Correct question:
Melissa wants to make a table representing the area of her vegetable garden for a variety of different lengths of the tomato patch. she uses her area expression to create the table. complete the table by typing the correct answer in each box. use numerals instead of words. do not round your decimal answers.
Simplify
f(x) = 8x+5 find f(5)
Answer: To find the value of f(5), we need to substitute 5 for x in the expression f(x) = 8x+5. This gives us:
f(5) = 8*5+5 = 45
So, the value of f(5) is 45.
A silo (base not included) is to be constructed in the form of a cylinder surmounted by a hemisphere. The cost of construction per square unit of surface area is 3 times as great for the hemisphere as it is for the cylindrical sidewall. Determine the dimensions to be used if the volume is fixed at 18000 cubic units and the cost of construction is to be kept to a minimum. Neglect the thickness of the silo and waste in construction.
The radius of the cylindrical base (and of the hemisphere) is ? ft.
(Rounding to the nearest tenth as needed.)
Answer:
The radius of the cylindrical base (and of the hemisphere) is 10.2 ft.
How can -6.75 + -10.25 be expressed as the sum of its integer and decimal parts
-17 can be expressed as the sum of its integer and decimal parts.
-6.75+(-10.25)
Remove parentheses: (-a)=-a
=-6.75-10.25
Subtract the numbers: -6.75-10.25=-17
=-17
Zero, a positive natural number, or a negative integer denoted by a minus sign are all examples of integers. The inverse additives of the equivalent positive numbers are the negative numbers.
An integer, pronounced "IN-tuh-jer," is a whole number that can be positive, negative, or zero and is not a fraction. Integer examples include: -5, 1, 5, 8, 97, and 3,043. The following numbers are examples of non-integer numbers: -1.43, 1 3/4, 3.14,.09, and 5,643.1.
To learn more about integer visit:https://brainly.com/question/15276410
#SPJ1
Find the difference between (5.5n^2 + 8-3) and (-3n^2-5)
f(x) = 2(3)^x What are the coordinates of the y-intercept of the function? Enter your answer by filling in the boxes.
Answer: (0,2)
Step-by-step explanation:
to find the y intercept, solve for f(x) when x = 0
f(0) = 2(3)^0 = 2(1) = 2
therefore the coordinates of the y intercept are (0,2)
If I had 24 assignment and had to get them done in 13 days how many assignments should I do I day
Answer:
2 per day
Step-by-step explanation:
What is the equation, in point-slope form, of the line that is parallel to the given line and passes through the point (4, 1)? y − 1 = −2(x − 4) y – 1 = negative one-half(x – 4) y – 1 = one-half(x – 4) y − 1 = 2(x − 4)
Therefore the equation for the the graphed line's parallel, which also passes through (4, 1), is y = -2*x + 9
What is equation?Algebraically speaking, an equation is a statement that shows the equality of two mathematical expressions. For instance, the formulas 3x + 5 and 14 make up the equation 3x + 5 = 14, with the word "equal" between them.
Here,
If two lines have the same slope, they are considered to be parallel.
This will allow us to determine the equation for the line that is perpendicular to the graphed line and goes through the points (4, 1): y = -2*x + 9.
Let's try to locate the line as follows:
Finding the graphed line's slope is the first step towards locating the line.
Keep in mind that a generic statement is anything like:
y = a*x + b
where a represents the slope and b the y-intercept
If the line does indeed travel through the points (x1, y1) and (x2, y2), then the slope of that line can be expressed as follows:
[tex]m=\frac{y_{2}- y_{1}}{x_{2} -x_{1} }[/tex]
As seen below, the graphed line crosses (-3, 3) and (-2, 1). The slope will therefore be:
[tex]m=\frac{1- 3}{2 -(-3) }[/tex]
Since the parallel line's slope is likewise 2, it will look somewhat like this:
y = -2*x + c
Using the knowledge that this line passes through, we may determine the value of c. (4, 1).
Thus, y = 1 must exist when x = 4.
When we swap these out in the line equation, we get:
-2*4 + c = 1
-8 + c = 1
1 + 8 = c = 9
Therefore the equation for the the graphed line's parallel, which also passes through (4, 1), is y = -2*x + 9
To know more about equation , visit
https://brainly.com/question/12788590
#SPJ4
The Beta club sold hot pretzels as a fundraiser. The pretzels normally sold for $2.00, but near the end of the sale, the price was reduced by 25%. What was the new price for a hot pretzel?
Answer: The new price for a hot pretzel is 1.50
Step-by-step explanation: 200*75/100=150
What is the result of -21÷(-2-5)+(-14)+6×(8-4×3) ? I need help
Answer:
[tex]\begin{gathered} \sf - 21 \div (2 - 5) + ( - 14) + 6 \times (8 - 4 \times 3) = \\\sf- 21 \div (2 - 5) + ( - 14) + 6 \times (8 - 12) = \\ \sf- 21 \div( - 3) + ( - 14) + 6 \times ( - 4) = \\ 7 + ( - 14) +( - 24) = \\ \sf 7 - 14 - 24 = \\ \sf - 7 - 24 = \\ \sf \green{ - 31}\end{gathered}[/tex]
When we solve combined calculations, we must first separate into terms when there is an addition or a subtraction.
Then, we solve the operations respecting the hierarchical order of the operations:
First we solve the powers and roots.Then divisions and multiplications.Finally, addition and subtraction.If the calculation has grouping signs, they must be solved in the following order:
Parenthesis.Brackets.Keys.Merry Christmas and Happy New Year
The Alpha.Answer:
negative 36
Step-by-step explanation:
You will useva method known as BODMAS its a principle of combined operations like the one above in mathematics.
B-brackets
O-Of (multipliction) ;commonly used when fractions are involved
D- division
M- multiplication
A- addition
S- subtraction
Working out:
first we will solve the brackets then rewrite the question with the answer obtained
-2-5=-7
8-4×3= minus 4
new question :
-21÷-7+-14+6×minus 4
Next is division since there is no of
-21÷-7=3
Negative divided by negative equals positive
3+minus 14 +6×minus 4
Now do multiplication 6×minus 4= minus24
3+ minus 14+minus 24=minus 36
which expression is equal to (-2ab)^3 (-a^2b)
By using exponent, it can be calculated that
[tex](-2ab)^3 (-a^2b)[/tex] = [tex]8a^5b^4[/tex]
What are exponent?
Exponent tells us how many times a number is multiplied by itself.
For example : In [tex]2^4 = 2 \times 2 \times 2 \times 2[/tex]
Here, 2 is multiplied by itself 4 times.
If [tex]a^m = a \times a \times a .... \times a[/tex] (m times), a is the base and m is the index.
The laws of indices are
[tex]a^m \times a^n = a^{m + n}\\\\a^m\div a^n = a^{m - n}\\\\(ab)^m = a^mb^m\\\\(\frac{a}{b})^m = \frac{a^m}{b^m}\\\\a^0 = 1\\\\(a^m)^n = a^{mn}[/tex]
Now,
The given expression is
[tex](-2ab)^3 (-a^2b)[/tex] =
[tex](-8a^3b^3)(-a^2b)\\[/tex]
[tex]8a^{3+2}b^{3+1}[/tex]
[tex]8a^5b^4[/tex]
So, the expression [tex](-2ab)^3 (-a^2b)[/tex] is simplified [tex]8a^5b^4[/tex]
To learn more about exponent, refer to the link:
https://brainly.com/question/11975096
#SPJ1
The function below contains ordered pairs of the form (x, y) -
f(x)={(6,5), (2, 3), (1,4)}
What is the range of the function?
Answer: [tex]\{4, 5, 6\}[/tex]
Step-by-step explanation:
The range of a function is the set of outputs (which is the set of [tex]y[/tex]-coordinates).
Write an equation for the nth term of the sequence 12, 5, -2, -9,...
For the function f(x) = 2x +8, determine f(-3)
A) 2
B) 3
Answer:
2
Step-by-step explanation:
we replace x with -3
f(-3)=2(-3)+8
f(-3)=-6+8
f(-3)=2
hopes this helps please mark brainliest
Solve your system of equations from part A using elimination. Then, complete the statement. Type the correct answer in each box. Use numerals instead of words. The test has questions worth 2 points and questions worth 4 points
There are 15 two-point questions and 5 four-point questions.
What is an expression?
Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.
Let x be two-point questions and y be four-point questions. We know that there are 20 questions so the number of two-point questions plus the number of four-point questions equals 20. So x + y = 20. We also know that the total number of points is 50, so 2x + 4y = 50.
Solving the system:
1) x + y = 20
2) 2x + 4y = 50
Isolate x in 1) to get x = 20-y, then plug into 2)
2(20-y) + 4y = 50
2y=10
y = 5,
It means that there are 5 four-point questions. Plug y = 5 into either equation to get x = 15 so there are 15 two-point questions.
x + y = 20
x + 5 = 20
x = 15
Hence, there are 15 two-point questions and 5 four-point questions.
To know more about expression follow
brainly.com/question/723406
#SPJ2
Answer:
Step-by-step explanation:
the test ha 65 questions worth points and 5 questions worth 4 points
HELP I WILL GIVE BRANLIEST IF CORRECT The steps to solving the expression the quantity of the sum of seven squared plus three divided by the absolute value of negative 0.5 end quantity minus 18.6 ÷ 6 are listed below.
Part A: Explain what the missing expression should be in Step 4. (6 points)
Part B: Explain what the missing expression should be in Step 6. (6 points)
Using the absolute value and PEMDAS order of operations, it is found that:
a) The missing expression for step 2 is: (36 + 2)/0.5 = − 14.8 ÷ 8.
b) The missing expression for step 6 is 76 - 1.85.
How to properly use mathematical operations?The absolute function is defined by:
|x| = x, x ≥ 0.
|x| = -x, x < 0.
Thus, it usually measures the distance of a point x to the origin, hence |0.5| = |-0.5| = 0.5
In Step 2, we just have to apply the absolute value property to |-0.5|, and as such, the missing expression for step 2 is:
(36 + 2)/0.5 = − 14.8 ÷ 8.
For step 6, the division happens before the multiplication using PEMDAS order of operations and as such, the missing expression for step 6 is;
76 - 1.85.
Read more about Mathematical Operations at; https://brainly.com/question/20628271
#SPJ1
The missing steps are;
Step 1 the quantity of the sum of six squared plus two divided by the absolute value of negative 0.5 − 14.8 ÷ 8
Step 2
Step 3 the quantity of the sum of thirty six plus two divided by 0.5 − 14.8 ÷ 8
Step 4 the quantity thirty eight divided by 0.5 − 14.8 ÷ 8
Step 5 76 − 14.8 ÷ 8
Step 6
Step 7 74.15
What is 2 1/4 divided by 4????
1. 5/8
2. 1/10
3. 10
4. 1 3/5
Step-by-step explanation:
2 1/4 = 9/4
9/4 ÷ 4
9/4 x 1/4
9/16
so neither of these answers?
use distributive property to create an equivalent expression to 40+4x.
Answer:
4(10+x)
Step-by-step explanation:
find the gcf: 4
divide everything by the gcf: 4(10+x)
Answer:There are 3 answers 4(10+x), 4(10)+4(x), 40+4x
ashley was born on 06/10/1961. how many 8 digit codes could she make using the digits in her birthday
3360, 8 digit codes could she make using the digits in her birthday.
What is the 4 digit code?
A quick, thorough, and evidence-based method for diagnosing the full range of outcomes seen in people who have had prenatal alcohol exposure is the 4-Digit Code.
Given the date:
Birth date = 12/24/2002 06/10/1961
Number of digits = 8 = 8! = (8*7*6*5*4*3*2*1) = 40320
Repeated digits :
digit 6 = 2 times = 2! = 2*1 = 2
digit 1 = 3 times = 3! = 3*2*1 = 6
Therefore the number of 8 digit codes that can be formed is :
8! / (2! * 3!)
40320 / (2 * 6)
40320 / 12
= 3360
To learn more about digit code visit:https://brainly.com/question/15333903
#SPJ1
Suppose you have two options from which to choose a pay raise for each of the next two years.
Option A: You received a $6,000 raise in year 1 and then 4% raise in year 2.
Option B: You receive a 4% raise for 1 year and then a $6,000 raise in year 2.
Which option will result in you making more money? Explain.
We see that under option B, you will make more money than under option A.
What is a percentage?
A relative value indicates the hundredth part of any quantity. One percent (symbolized 1%) is the hundredth part; thus, 100 percent represents the entirety and 200 percent specifies twice the given quantity.
To compare the two options and determine which one will result in you making more money, we need to find the total amount of money you will make under each option.
Under option A, you will receive a $6,000 raise in year 1 and a 4% raise in year 2. Let's call your base salary S. After the first year, your salary will be S + $6,000. After the second year, your salary will be (S + $6,000) * 1.04 = S + $6,240.
Under option B, you will receive a 4% raise in year 1 and a $6,000 raise in year 2. After the first year, your salary will be S * 1.04 = S + $480. After the second year, your salary will be (S + $480) + $6,000 = S + $6,480.
Comparing the two options, we see that under option B, you will make more money than under option A. This is because option B includes a $6,000 raise in the second year, while option A includes a smaller 4% raise in the second year.
To learn more about percentages, visit:
https://brainly.com/question/24877689
#SPJ1
Is the triangle formed by joining the points A (1, 9), B (7, 1), and C (−5, 1) isosceles? Justify your answer.
A. Yes. AB=(1−1)2+(9−7)2−−−−−−−−−−−−−−−√; BC=(7−5)2+(1−1)2−−−−−−−−−−−−−−−√
B. Yes. AB=(1−7)2+(9−1)2−−−−−−−−−−−−−−−√; CA=(−5−1)2+(1−9)2−−−−−−−−−−−−−−−−√
C. No. BC=(7+5)2+(1−1)2−−−−−−−−−−−−−−−√; CA=(−5−1)2+(1−9)2−−−−−−−−−−−−−−−−√
D. No. BC=(7−5)2+(1−1)2−−−−−−−−−−−−−−−√; CA=(−5−1)2+(1−9)2−−−−−−−−−−−−−−−−√
Yes, the triangle formed by joining the points A (1, 9), B (7, 1), and C (−5, 1) isosceles
What are Triangles?Having three sides, three angles, and three vertices, a triangle is a closed, two-dimensional object.
A polygon also includes a triangle.
Triangles have three sides.
Triangles have three sides. The sides of the triangle ABC are AB, BC, and CA.
The angle of a triangle is represented by the symbol and represents the angle created by any two of its sides.
Three angles make compose a triangle. The triangle ABC has the following three angles: ABC, BCA, and CAB. The names of these angles are B, C, and A, respectively.
The point of intersection of any two sides of a triangle is known as a vertex.
A triangle's vertex is the location where any two of its sides cross. The vertices of a triangle are three. The vertices of the triangle ABC are A, B, and C.
Hence, Yes, the triangle formed by joining the points A (1, 9), B (7, 1), and C (−5, 1) isosceles.
learn more about triangles click here:
brainly.com/question/17335144
#SPJ1
Here are the shopping times (in minutes) of nine shoppers at a local grocery store.
Complete the grouped frequency distribution for the data.
In the distribution, the frequency of a class is the number of shopping times in that class.
(Note that we are using a class width of 6 .)
The answer for all 3 of the boxes is 3. The number of observations for each class interval of a variable is shown in group frequency distributions.
Complete the grouped frequency distribution for the data ?DISTRIBUTION OF GROUPED FREQUENCIES
The greatest score is H, while the lowest is L.
By dividing the range by a number of groupings or classes, you can estimate the class width w.
Establish the class intervals.
Add up the scores for each period in the appropriate number.
The shopping time (in minutes) of the nine shoppers are:
15, 16, 18, 20, 22, 25, 27, 28, 29 (just to make it easier to read, I rearranged everything from least to greatest.)
We can see, that 3 shoppers shopped for 15-20 minutes.
And, 3 shoppers shopped for 21-26 minutes.
And finally, 3 shoppers shopped for 27-32 minutes.
So the answer for all 3 of the boxes is 3.
To learn more about frequency distribution refer
https://brainly.com/question/1094036
#SPJ1
A sales tax is charged on some items at a grocery store but not charged on others. When the
taxable items total t dollars and the non-taxable items total n dollars, the total bill is 1.06t +
n dollars. Malia went shopping yesterday. She spent $20 on taxable items and $8.20 on non-
taxable items.
How much was Malia's total grocery bill?
Answer:24.90
Step-by-step explanation: My brain
find the critical points of the given function and then determine whether they are local maxima, local minima, or saddle points. f(x, y)
The local maxima is(1,0) , local minima is indefinite and the saddle point is (1,0).
As per given in the question ,
f(x,y)=[x2+1 ]
[-2y ]
The critical points are therefore (1,0) and (1,0).
The Hessian is currently
∇²f(x,y)=[−2x 0
0 −2]
2 and 2 are the eigenvalues of the function 2f(1,0).
As a result, (1,0) is a saddle point and 2f(1,0) is indefinite.
Two and two are the eigenvalues of 2f(1,0).
As a result, (1,0) is a maximum and 2f(1,0) is negative definite.
Critical point: If f (p) = 0, then a point p U is f's critical point.
In light of this, the tangent plane to z = f when f is differentiable (x) at (p, f (p)) is horizontal.
Theorem: Assume that f exists and possesses a local extremum at position p. Then, p is a f critical point, with the result that f (p) = 0.
Example: Take into account f (x, y) = x 2 y 2. Once again demonstrating that (0, 0) is the only crucial point of f, fx = 2x = 0 and fy = 2y = 0
However, (0, 0) is not a f local maxima.
To learn more about critical point
brainly.com/question/29144288
#SPJ4
y=3x + 1 if x =-2 then y=?
Answer:
Step-by-step explanation:
If x equals -2 then you multiply 3 times -2 which equals -6 then add 1. Your total then is -5. Y equals -5