Answer:
21
Step-by-step explanation:
g(6)=3(6)+3
g(6)=18+3
g(6)=21
The value of g(6) is 12.
what is function?Function, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable). Functions are ubiquitous in mathematics and are essential for formulating physical relationships in the sciences.
Given:
g(x) = 3x + 3
Now for x=3
g(3)= 3*3+3
=9+3
=12
Hence, the value of function is 12.
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Which transformation is a rigid transformation?
2 right triangles have identical angle measures but different side lengths. Triangle 2 has longer sides.
2 right triangles have different angles and side lengths.
2 right triangles have identical side lengths and angle measures. The second triangle is a reflection of the first.
Answer:
C on edge
Step-by-step explanation:
just did it
The transformation that is a rigid transformation is: "2 right triangles have identical side lengths and angle measures. The second triangle is a reflection of the first." The correct option is C).
A rigid transformation preserves the shape and size of an object without altering its angles or lengths. Among the provided scenarios, the transformation where "2 right triangles have identical side lengths and angle measures, and the second triangle is a reflection of the first" is a rigid transformation.
In this case, the triangles maintain their original angles and side lengths while being flipped across a line of reflection. Rigid transformations include translations, rotations, and reflections, all of which maintain the geometric properties of the original shape.
The other scenarios involve changes in angles, side lengths, or both, which would not classify as rigid transformations due to alterations in shape or size. The correct answer is C).
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--The given question is incomplete, the complete question is given below
"Which transformation is a rigid transformation?
A, 2 right triangles have identical angle measures but different side lengths. Triangle 2 has longer sides.
B, 2 right triangles have different angles and side lengths.
C, 2 right triangles have identical side lengths and angle measures. The second triangle is a reflection of the first. "--
What is the area of 30 cm 30 cm 26 cm of a triangle
Answer:
13√731 cm²
Step-by-step explanation:
Heron
A = √p(p-a)(p-b)(p-c)
p = (a+b+c)/2 = (30+30+26)/2 = 86/2 = 43
A = √43*(43-30)(43-30)(43-26)
= √43*13*13*17
= 13√43*17
= 13√731 cm²
Phytaghora
h = √30² - 13²
= √900 - 169
= √731
A = h × b/2
= √731 × 26/2
= 13√731 cm²
Triangle ABC, with coordinates A(2, 3), B(3, 5), C(7, 4), is dilated by a scale factor of 2. What are the coordinates of the dilated figure, triangle A′B′C′?
Answer:
Bellow in bold.
Step-by-step explanation:
Multiply each coordinate by 2:
A(2, 3) ---> A' = (2*2, 3*2) = (4, 6)
In a similar way B' = (6, 10) and C' = 14, 8).
Answer:
A' = (4, 6) B' = (6, 10) and C' = 14, 8).
Step-by-step explanation:
30 POINTS!!!!!!!!! PLEASE HELP!!!!!!!!!
George has opened a new store and he is monitoring its success closely.
He has found that this store’s revenue each month can be modeled by r(x)=x2+6x+10 where x represents the number of months since the store opens the doors and r(x) is measured in hundreds of dollars.
He has also found that his expenses each month can be modeled by c(x)=x2−4x+5 where x represents the number of months the store has been open and c(x) is measured in hundreds of dollars.
What does (r−c)(4) mean about George's new store?
The new store will have a profit of $2300 after its fourth month in business.
The new store will sell 4500 items in its fourth month in business.
The new store will have a profit of $4500 after its fourth month in business.
The new store will sell 2300 items in its fourth month in business.
Answer:
It will be 4500
Step-by-step explanation:
Just substitute 4 for x in both equations and you will get:
r(4) = $5,000 store's revenues in 4 months
c(4) = $500 store's expenses in 4 months.
So, (r - c) = $5,000 - $500 =$4,500 store's profit after 4 months in business.
Hopes this works out!
which is greater 2/3 5/10 7/8 1/2 ?
Answer:
2/3 5/10 7/8 1/2
Step-by-step explanation:
hello :
2/3 =(2×8)/(3 ×8) = 16/24
5/10 = 1/2= (1×12)/(2 ×12)=12/24
7/8= (7×3)/(8 ×3)= 21/24
the greater is : 7/8
To determine which of the fractions 2/3, 5/10, 7/8, and 1/2 is the greatest, we must first convert the fractions to decimals. Once converted, 7/8 (0.875) is the highest decimal value, thereby making it the greatest fraction.
Explanation:To figure out which is greater among 2/3, 5/10, 7/8 and 1/2, we need to convert each of these fractions into decimals because it is easier to compare decimals than fractions.
So, 2/3 = 0.6667, 5/10 = 0.5, 7/8 = 0.875 and 1/2 = 0.5.
Comparing these decimals, it is clear that 7/8 (which equals to 0.875) is the greatest among the four.
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A basketball with a diameter of 9.5 in. is placed in a cubic box with sides 15 in. long. How many cubic inches of packing foam are needed to fill the rest of the box? Round to the nearest tenth.
Answer:
2926.32 cubic inches
Step-by-step explanation:
Given the information:
A basketball with a diameter of 9.5 in=> its radius is: 9.5/2 = 4.75 in
As we know, the formula used to find the volume of the sphere is:
V =π [tex]\frac{4}{3} r^{3}[/tex]
=> the volume of the basketball is:
V = π [tex]\frac{4}{3} 4.75^{3}[/tex]
= 448.69 cubic inches
A cubic box with sides 15 inAs we know, the formula used to find the volume of a cube is:
V = [tex]a^{3}[/tex]
=> the volume of the box:
V = [tex]15^{3}[/tex] = 3375 cubic inches
Hence, The volume of foam there is needed to complete the box is the subtraction between the two volumes above:
= the volume of the box - the volume of the basketball
= 3375 - 448.69
= 2926.32 cubic inches
Q. Which equation best represents the relationship between x and y in
the graph?
Answer:
y = -2x + 4
Step-by-step explanation:
(0, 4) represents your y-intercept.
Find the midpoint of the segment with endpoints (-3,4) and (7,10)
Answer:
(2,7)
Step-by-step explanation:
To find the midpoint, you need to plug the 2 points in to the midpoint formula.
[tex]( \frac{x_{1} +x_{2} }{2} , \frac{y_{1} +y_{2} }{2} )[/tex]. You are basically adding the x values and divided the sum by 2 and doing the same for the y values. To find the x value of the midpoint, you add -3 and 7 which gets you 4, then you divide by 2 which is 2. To find the y value of the midpoint you, you add 4 and 10 which gets you 14, then you divide by 2 which gets you 7. So your mid point is (2,7).
Amelia needs to buy some cat food at the nearest store two bags of cat food cost $5.50 how much would Amelia spend on six bags of cat food
Answer: $16.50
Step-by-step explanation:
Answer:
$16.50
Step-by-step explanation:
2 bags of cat food is $5.50 so you times that by three and get six bags for $16.50
Tonya has 39 packages. Each package weighs 58 pounds. Choose the best estimate of the total weight of the packages
The best estimate for the total weight of the packages is 2262 pounds.
What is Multiplication?Multiplication of two numbers is defined as the addition of one of the number repeatedly until the times of the other number.
a × b means that a is added to itself b times or b is added to itself a times.
Given that,
Total number of packages that Tony has = 39 packages
Weight of each package = 58 pounds
In order to find the weight of total packages we have to add the weight of each packages.
We have to add the weight of a package 39 times since the number of packages is 39.
That is, we can multiply 39 with 58.
Total weight = 39 × 58 pounds
= 2262 pounds
Hence the total weight of the packages is 2262 pounds.
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Final answer:
To find the total weight of Tonya's packages, multiply the number of packages by the weight of each package, which results in an estimated total weight of 2,262 pounds.
Explanation:
Tonya has 39 packages, each weighing 58 pounds. To find the total weight, we multiply the number of packages by the weight of each package:
39 packages * 58 pounds = 2,262 pounds
The best estimate of the total weight of the packages is 2,262 pounds.
Don, Eric, and Finn line up in random order for the cafeteria line. What is
the probability that they line up from front to back in alphabetical order?*
A- 15.2%
B- 16.6%
C-18.2%
D-21.8%
Answer:
The correct answer is A
Step-by-step explanation:
This results in a 16.6% probability. The correct option is (b).
Explanation:There are 3 individuals (Don, Eric, and Finn) and so 3! (3 factorial) ways to arrange them, which is 3*2*1=6 ways.
The desirable permutation, which is they stand in alphabetical order, is just one way. So, the probability is Number of Favorable Outcomes / Total Number of Outcomes = 1/6.
Thus the correct answer is (1/6) * 100% to convert to a percentage which is approximately 16.6%.
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What is the surface area of the right rectangular prism? Enter your answer in the box. 6ft 4ft 3ft
Answer:
The surface area will be 108 ft
Step-by-step explanation:
If the length is 6ft, the width is 4ft and the height 3ft = The surface area will be 108 ft
Find the distance between -6 and 8. What is an expression that represents the distance? Complete the expression.
Answer:
14
Step-by-step explanation:
Using the absolute value function the distance is calculated as
| - 6 - 8 | = | - 14 | = 14
or
| 8 - (- 6) | = | 8 + 6 | = | 14 | = 14
Answer:
-6 - 8
Step-by-step explanation:
Please answer I rlly need this☺️☺️
Answer:
I will answer two of them so you can get the understanding here
Substitute the number into the equation
10. t/7 = 1 , when t = 7
Replace t in the equation with 7
7/7 = 1
The equation makes sense, t=7 is a solution
13. 84 = 7y , when y = 12
Replace y in the equation with 12
84 = 7 * 12
84 = 84
The equation makes sense, y=12 is a solution
How to determine whether a number is prime or composite number without using calculator fast?
Answer:
To prove whether a number is a prime number, first try dividing it by 2, and see if you get a whole number. If you do, it can't be a prime number. If you don't get a whole number, next try dividing it by prime numbers: 3, 5, 7, 11 (9 is divisible by 3) and so on, always dividing by a prime number
Which value of x would make LK Il OM?
Ox=2
Ox=24
O x=48
O x=8
The required value of x would be 8 to make LK Il OM for the shown triangle.
What is the angle bisector theorem?The angle bisector theorem is a geometric theorem that relates the lengths of the sides of a triangle to the lengths of the segments that bisect the opposite angles.
The line segment splits one side of a triangle into segments of length NO and NM, then the other two sides of the triangle are split into segments of length NK/KM and NL/LO respectively.
So, NK/KM = NL/LO
(x+2)/(x-3) = x/(x-4)
x² - 2x - 8 = x²- 3x
3x - 2x = 8
x = 8
Thus, the required value of x would be 8.
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The missing figure has been attached below as:
which is greater, 1 3/4 or 1?
Answer:
1 3/4
Step-by-step explanation:
1 3/4 is 3/4 more than one.
Answer:
1 3/4
Step-by-step explanation:
When you add fractions to whole numbers, it is bigger than the whole number. For example 1 + 3/4 = 1 3/4, so this is bigger than one.
hope this helps :)
In the equation 0.03x - 0.1 = 2.6 , what is the value of x ?
Look at the attached picture ⤴
Hope it will help u...
Final answer:
To solve the equation 0.03x - 0.1 = 2.6, you add 0.1 to both sides and then divide by 0.03, resulting in the value of x being 90.
Explanation:
In the equation 0.03x - 0.1 = 2.6, to find the value of x, we first add 0.1 to both sides of the equation to isolate the term with x on one side. This gives us 0.03x = 2.7. Next, we divide both sides of the equation by 0.03 to solve for x, which gives us x = 2.7 / 0.03. Therefore, the value of x is 90.
Which dimensions cannot create a triangle?
three angles measuring 25°, 659, and 90°
three angles measuring 50°, 30°, and 100°
three sides measuring 5 in., 12 in., and 13 in.
three sides measuring 4 ft, 8 ft, and 14 ft
HURRY Please
Answer:
"three sides measuring 4 ft, 8 ft, and 14 ft"
Step-by-step explanation:
The last one which says "three sides measuring 4 ft, 8 ft, and 14 ft" because the two shorter sides always must be greater than the length of the longest side.
Answer:
"three sides measuring 4 ft, 8 ft, and 14 ft"
Step-by-step explanation:
Find the surface of the square pyramid shown below
Answer:
40
Step-by-step explanation:
The area of the base is 4 * 4 (because it's a square) = 16
The area of one side is 4 * 3 * 1/2 = 6, but there are 4 sides, so the combined area of the sides is 6 * 4 = 24
16 + 24 = 40
Answer:
40
Step-by-step explanation:
Find the area of one of the triangle faces time that by 4(there is four triangle faces) and then add that by the area of the square face(16). 4*4=16
Area of triangle face: 6*4=24(triangle faces)+16(Square face)=40
By rounding to 1 significant figure,estimate
6.4x7.35
Answer:
its 42!! found it on hegarty lol
Step-by-step explanation:
Becca wants to edge her hexagonal garden with bricks. All sides are equal. The brickcosts $2 per foot. How much will it cost to buy tne edging she needs
Answer: $12a
Step-by-step explanation:
Cost of brick = $2 per foot
Cost of edging needed=?
Shape of garden = hexagonal= 6 sides and all sides are equal
The perimeter of a regular hexagon = 6×a
Where a = length of one of the sides , since the sides are equal.
Cost of edging = perimeter size (in feet) * cost per foot
Cost of edging = 6a * $2
Therefore, cost of edging = $12a
Where a = length of it's side in feet.
Answer: $144
Step-by-step explanation:
There are 12 feet on the hexagon so 12x2 is $24. there are also 6 sides on the hexagon so 6x24 is 144. (this is from a math textbook.)
Indicate whether the following statement is true or false: An exponential growth function
eventually exceeds a quadratic function with a positive leading coefficient. (1 point)
True
False
Answer:
The given statement is true.
In general, the growth rate of exponential functions is far greater than the quadratic function. This can be illustrated through an example.
Consider an exponential function and a quadratic function .
Note that the leading coefficient of the quadratic function is far greater than the base of the exponential function but still the exponential function will exceeds the quadratic function after x = 15.664 as shown in the graph below.
Therefore, we can conclude that the given statement is correct.
What is the sum? StartFraction 3 y Over y squared + 7 y + 10 EndFraction + StartFraction 2 Over y + 2 EndFraction StartFraction 5 Over y minus 5 EndFraction StartFraction 5 (y + 2) Over (y minus 2) (y + 5) EndFraction StartFraction 5 Over y + 5 EndFraction StartFraction 5 (y minus 2) Over (y minus 5) (y + 2) EndFraction
Answer:
the answer is 5/y+5
Step-by-step explanation:
Answer:
its c on edge
Step-by-step explanation:
i know
50 POINTS! :D
One car traveled 120 miles and drove 10 mph hour faster than a second car drove 100 miles. If the cars were travelling for the same time, how fast was the first car travelling?
90 mph
50 mph
60 mph
80 mph
The speed of the first car is 60mph.
What is multiplication?Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression for some number of times.
Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.
Given:
One car traveled 120 miles and drove 10 mph hour faster than a second car drove 100 miles.
Let n be the speed of the first car.
And the n + 10 be the speed of second car.
And t be the time take by both of the cars.
According to the question,
120 / n = 100 / n+10
Using cross multiplication,
20n = 1200
n = 1200 / 20
n = 60
Therefore, the value of n is 60mph.
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You are picking out an outfit. Which of the following options shows a closet with 36 different possible combinations of outfits? Select all that apply. A) 9 shirts, 2 jeans, 2 hats B) 6 shirts, 3 jeans, 2 hats C) 4 shirts, 3 jeans, 3 jackets D) 12 shirts, 2 shorts, 2 hats E) 6 shirts, 6 jeans, 2 hats
Answer:
The answer would be A, B, and C.
Step-by-step explanation:
You multiply all of the numbers, and they should sum up to your answer.
Final answer:
The options that show a closet with 36 different possible combinations of outfits are Option A (9 shirts, 2 jeans, 2 hats) and Option B (6 shirts, 3 jeans, 2 hats), as both of these options result in exactly 36 combinations when multiplied together.
Explanation:
You are looking for the combination of clothes in the closet that yields exactly 36 different possible outfit combinations. To calculate the number of combinations we can use the principle of multiplication. We multiply the number of choices for each piece of clothing to get the total number of combinations.
Option A: 9 shirts × 2 jeans × 2 hats = 36 combinations
Option B: 6 shirts × 3 jeans × 2 hats = 36 combinations
Option C: 4 shirts × 3 jeans × 3 jackets = 36 combinations (Incorrect, as this results in 36, not 36)
Option D: 12 shirts × 2 shorts × 2 hats = 48 combinations (Incorrect, as this results in 48, not 36)
Option E: 6 shirts × 6 jeans × 2 hats = 72 combinations (Incorrect, as this results in 72, not 36)
Therefore, the correct options that show a closet with 36 different possible combinations of outfits are Option A: 9 shirts, 2 jeans, 2 hats and Option B: 6 shirts, 3 jeans, 2 hats.
there shop keepers go to a wholesaler to buy packets of mints. each shop small packets, medium packets and large packets of mints. Anne buys 600 packets of mints. 34% are small packets and 49% are large packets. Ben buys 400 packets of mints, 3/10 are small packets and 1/10 are large packets. Chas buys 210 small packets of mints so that number of small packets: number of medium packets = 3 : 4 work out the total number of medium packets of mints these shop keepers buy.
Answer:
medium 156+240+105=501
small 204 + 120=324
large 40+240 =280
Step-by-step explanation:
600 of what ever the percentage or the fraction to find each small and large also medium.
example = 600 x 34% =204
another example is 400 x 3/10 = 40
The total number of medium packets of mints bought by the three shopkeepers Anne, Ben and Chas is calculated to be 622, using ratios and percentages to determine the breakdown of packets bought.
Explanation:To solve this problem, we first find out the number of small, medium, and large packets each shopkeeper buys. For Anne, if 34% of 600 packets are small, she buys 0.34 * 600 = 204 small packets. Then, from the remaining packets 49% are large, which makes 0.49 * 600 = 294 large packets. The rest are medium packets, making 600 - 204 - 294 = 102 medium packets.
For Ben, 3/10 of his 400 packets are small, which makes 3/10 * 400 = 120 small packets. Also, 1/10 of his packets are large, hence 1/10 * 400 = 40 large packets. The rest, thus, are medium: 400 - 120 - 40 = 240 medium packets.
For Chas, if the ratio of small packets to medium packets is 3:4, meaning for every 3 small packets, there are 4 medium packets. She bought 210 small packets, thus for medium packets, using the ratio, it becomes 210 * (4/3) = 280 medium packets.
The total number of medium packets that these shopkeepers buy is thus: 102 + 240 + 280 = 622 medium packets.
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You get a 27% discount on a sweater that is $18 sales tax is 8.4% how much is it after text total cost
Answer:
27/100×18=4.86
8.4/100×18=1.512
total is 6.372
A
Put these numbers into standard form
1. 6 000
2.400
3. 80 000
4. 9000
5. 400 000
6. 4000
7. 450
8. 55 000
9. 350
10.750 000
Answer:
Step-by-step explanation:
1) 6*10³
2) 4*10²
3) 8*10⁴
4)9000 = 9*10³
5) 400,000 = 4 *10⁵
6)4000 = 4*10³
7) 450 = 4.5 * 10²
8) 55 000 = 5.5*10⁴
9) 350 = 3.5*10²
10) 750 000 = 7.5*10⁵
On a winter day the low temperature in Anchorage, Alaska was -21 degrees Celsius and the low temperature in Minneapolis, Minnesota was -14 degrees Celsius. Jada said: “I know that 14 is less than 21, so -14 is also less than -21. This means that it was colder in Minneapolis than in Anchorage.” Do you agree? Explain your reasoning.
Jada's reasoning about the temperatures is incorrect because in negative numbers, the lower the value, the colder the temperature. Hence, Anchorage at -21°C was colder than Minneapolis at -14°C.
Explanation:Jada's statement that "-14 is also less than -21" is incorrect when referring to temperatures in degrees Celsius. In fact, when we work with negative numbers, especially temperatures, the higher the negative number, the warmer the temperature. That is, -14°C is warmer than -21°C. Therefore, it was actually colder in Anchorage, Alaska at -21°C compared to Minneapolis, Minnesota at -14°C. To understand this better, we can look at a thermometer or a number line where numbers to the right are higher (warmer) than those to the left.