Answer:
[tex]\huge\boxed{(3, 8)}[/tex]
Step-by-step explanation:
When we rotate a point 90° counterclockwise around the origin, it's the same as rotating it 270° clockwise around the origin.
When we rotate something 270° clockwise around the origin, the original coordinates (x, y) becomes (-y, x).
y is -3, and -(-3) is just 3, since two negatives make a positive.
x just remains x, but it's in a different position.
This makes the new coordinate [tex](3, 8)[/tex].
Hope this helped!
7 Car A uses petrol at the rate of 4.8L/100 km, whereas car B uses it at a rate of
10L/100 km. What will the difference in petrol costs be in a year in which both
cars travel 30000 km, if the petrol costs on average $1.45/L?
Step-by-step explanation:
30,000 km × (4.8 L / 100 km) × ($1.45 / L) = $2088
30,000 km × (10 L / 100 km) × ($1.45 / L) = $4350
The difference is $4350 − $2088 = $2262.
after being transformed the new point is called a(n):
It is called a image
Answer:
NEW Image
Step-by-step explanation:
Guys I’m scared to ask my dad for help cus he just helped me and the info went right out the window? Can someone help me? Ik the answer but I needa show work
Answer:
14. -5√30 +3√2
15. 18√5 -30√3
Step-by-step explanation:
You can multiply radicals using ...
(√a)(√b) = √(ab)
And you can simplify radicals using ...
√(a²b) = a√b
_____
14. Using the distributive property, then simplifying the radicals, we have ...
[tex]\sqrt{3}(-5\sqrt{10}+\sqrt{6})\\\\=-5\sqrt{3\cdot10}+\sqrt{3\cdot6}\\\\=-5\sqrt{30}+\sqrt{3^2\cdot2}\\\\=\boxed{-5\sqrt{30}+3\sqrt{2}}[/tex]
__
15. Similarly, ...
[tex]-2\sqrt{15}(-3\sqrt{3}+3\sqrt{5})\\\\=6\sqrt{15\cdot3}-6\sqrt{15\cdot5}\\\\=6\sqrt{3^2\cdot5}-6\sqrt{5^2\cdot3}\\\\=\boxed{18\sqrt{5}-30\sqrt{3}}[/tex]
Which statement is NOT true about Rational Numbers ? ( 2 answers ) a . Whole Numbers are Rational Numbers b . Integers, Whole Numbers, and Natural numbers are Rational Numbers. c. Only fractions are rational d. Repeating decimals and terminating decimals are Rational number.
Answer:
The answers are A and B.
Step-by-step explanation:
solve the equation below
for the indicated variable
1/3ab^2=6 (solve for a)
Answer:
a=18/b2
Step-by-step explanation:
The required equation for the indicated variable is a = 18/b² which is solved for a.
What is an equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.
We have been given the equation for the indicated variable as
⇒ 1/3ab² = 6
Multiply by 3 both sides of the above equation,
⇒ ab² = 6×3
⇒ ab² = 18
Divide by b² into both sides of the equation, and we get
⇒ a = 18/b²
Therefore, the required equation for the indicated variable is a = 18/b².
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Solve 6x+7=k solve for x
Answer:
[tex]\Large \boxed{x= \frac{k-7}{6} }[/tex]
Step-by-step explanation:
[tex]6x+7=k[/tex]
Subtracting 7 from both sides.
[tex]6x=k-7[/tex]
Dividing both sides by 6.
[tex]\displaystyle x= \frac{k-7}{6}[/tex]
Which expression is equivalent to -36 - 8? Choose 1 answer:
Answer:
-44
Step-by-step explanation:
[tex] - 36 - 8 = - 44[/tex]
Solve: V=nr^2h ; for r.
Answer:
[tex]r=\sqrt{\frac{V}{nh} }[/tex]
Step-by-step explanation:
[tex]V=nr^{2}h\\\frac{V}{nh}=\frac{nr^{2}h }{nh}\\\frac{V}{nh}=r^{2}\\\sqrt{\frac{V}{nh} }=\sqrt{r^{2} }\\r=\sqrt{\frac{V}{nh} }[/tex]
28,000 times what is 1,251,000,000
Answer:
The number is 312750/7
Step-by-step explanation:
(312750/7)*28000=1251000000
Answer:16
Step-by-step explanation:
Glue
Sheila Little has a gross monthly income of $3500. She has 15 remaining payments of $147 on a used car. The taxes and insurance on the house are $85 per month. What maximum monthly payment does the bank's loan officer feel that Sheila can afford?
Answer:
the maximum monthly payment is $958
Step-by-step explanation:
The computation of the maximum monthly payment for affording is shown below;
Let us assume that there is a 34% of the gross monthly income
So, it would be calculated below:
= Given percentage × gross monthly income - payments made - taxes & insurance per month
= 0.34 × $3,500 - $147 -$85
= $958
hence, the maximum monthly payment is $958
someone help me please
Answer:
[tex]\dfrac{-20d^3t^2}{v^5}[/tex]
Step-by-step explanation:
The applicable rules of exponents are ...
(a^b)(a^c) = a^(b+c)
a^-b = 1/a^b
__
[tex](4d^2t^5v^{-4})(-5dt^{-3}v^{-1})=(4)(-5)d^{(2+1)}t^{(5-3)}v^{(-4-1)}\\\\=\boxed{-20d^3t^2v^{-5}=\dfrac{-20d^3t^2}{v^5}}[/tex]
17) 74x^2
What is the prime factorization of 74x^2?
Use the figure to the right to find the value of PT. T is the midpoint of PO.
PT = 4x + 7 and TQ = 8x - 5
PT=
(Simplify your answer.)
Answer:
PT=19
Step-by-step explanation:
It is given that, T is the midpoint of PQ. If T is mid point, then it will bisect the line segment i.e.
PT=TQ
4x + 7=8x - 5
Subtracting 7 both sides
4x + 7-7=8x - 5-7
4x=8x-12
Subtracting 8x both sides
4x-8x=8x-12-8x
-4x=-12
4x=12
x=3
The value of x is 3.
Now,
PT = 4x + 7
= 4(3) + 7
=12+7
=19
Therefore, the length of PT is 19.
The formula for the distance traveled over time ttt and at an average speed vvv is v\cdot tv⋅tv, dot, t. Amit ran for 404040 minutes at a speed of about 555 kilometers per hour. What calculation will give us the estimated distance Amit ran in kilometers?
Answer:
5 x 40/60
Step-by-step explanation:
The distance Amit ran will be 3.34 kilometers in 40 minutes.
What is speed?Speed is defined as the ratio of the time distance traveled by the body to the time taken by the body to cover the distance. Distance is defined as the length between the two points.
It is given that the distance traveled over time t and at an average speed is s. Amit ran for 40 minutes at a speed of about 5 kilometers per hour.
The distance will be calculated by using the speed formula:-
Speed = Distance / time
Convert the formula to calculate distance.
Distance = Speed x Time
Distance = 5 x ( 40/60 )
40/ 60 is the time in hours.
The distance will be calculated as:-
Distance = 10 / 3
Distance = 3.34 kilometers
Therefore, the distance Amit ran will be 3.34 kilometers in 40 minutes.
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Prove theorems about triangles
a) impossible
b) the sum of the angles in a triangle is 180°
63° + 59° + 57° = 179°
What shape is produced when slicing a right rectangular prism perpendicular to
the base?
Answer:
rectangle
Step-by-step explanation:
If the slice is perpendicular to the base, it can intersect at most two lateral faces and the parallel base. Hence the shape produced will be a rectangle.
This animation shows a situation in which two quantities are related. Enter the independent quantity in this situation: Enter the dependent quantity in this situation:
Answer:
[tex]\Large \boxed{\mathrm{independent: \ time}} \\\\\\ \Large \boxed{\mathrm{dependent: \ elevation }}[/tex]
Step-by-step explanation:
The independent variable is on the x-axis.
The independent quantity is time.
The dependent variable is on the y-axis.
The dependent quantity is elevation.
Answer:
The dependent variable is on the y-axis.
The dependent quantity is elevation.
The independent variable is on the x-axis.
The independent quantity is time.
What is the value of -2x+3yz if x=3, y=6, and z=
Answer:
Step-by-step explanation= 33
If m = 8, how many solutions are there to the expression 7m?
Answer:
7m and m = 8
7(8) = 56 one solution and that solution is 56
Step-by-step explanation:
Answer:
Hey there!
There is only one solution.
7(8)=56. It cannot be anything else.
Let me know if this helps :)
what is an numerator
Answer:
A numerator is the top part of a fraction.
Step-by-step explanation:
__2__
3
In the above fraction 2 is the numerator and 3 is the denominator.
Solve for w. |w-3|+8=24 one of the answers i know is 19 If there is more than one solution, separate them with commas. If there is no solution, click on "No solution". PLZ HELP
Answer:
w = 19 or w = -13
Step-by-step explanation:
Solve for w over the real numbers:
abs(w - 3) + 8 = 24
Hint: | Isolate terms with w to the left hand side.
Subtract 8 from both sides:
abs(w - 3) = 16
Hint: | Eliminate the absolute value.
Split the equation into two possible cases:
w - 3 = 16 or w - 3 = -16
Hint: | Look at the first equation: Solve for w.
Add 3 to both sides:
w = 19 or w - 3 = -16
Hint: | Look at the second equation: Solve for w.
Add 3 to both sides:
Answer: w = 19 or w = -13
Central subs made 27 sandwiches using 12 pounds of turkey, how much turkey was used per sandwich?
Answer: [tex]\frac{4}{9}[/tex] lbs of turkey
Step-by-step explanation:
hey there,
< Since we know 27 sandwiches = 12 lbs, then let's make a ratio table.
27 sandwiches = 12 lbs
1 sandwich = ? lbs
The way you solve a ratio table is multiply the two amounts that cross each other that do not include the thing we are trying to find. Here, it would be 12 lbs x 1 sandwich, as they are right across from each other and there is no "?" within either of those two. 12 x 1 = 12. Now, divide by the last amount left that we haven't touched yet (27 sandwiches).
12 ÷ 27 = [tex]\frac{12}{27}[/tex] = [tex]\frac{4}{9}[/tex] lbs of turkey or you can change it to a decimal so it would be 0.44 lbs (not precise so it's better to use a fraction). >
Hope this helped! Feel free to ask anything else if you still have questions.
Answer:
4/9 lbs per sandwich
Step-by-step explanation:
We want turkey per sandwich
12 lbs turkey/ 27 sandwiches
4/9 lbs per sandwich
To which subset(s) of real numbers does the number -4 belong? Choose all that apply Irrational numbers Integers Whole numbers Natural numbers Rational numbers
Answer:
The answer is: Integers, and Rational Numbers.
Step-by-step explanation:
the number -4 belongs to the subsets of real numbers: Integers and Rational numbers.
The number -4 belongs to the following subsets of real numbers:
1. Integers: Integers include all positive and negative whole numbers, as well as zero. Since -4 is a negative whole number, it is an integer.
2. Whole numbers: Whole numbers include all non-negative integers. Since -4 is negative, it is not a whole number.
3. Natural numbers: Natural numbers include all positive integers. Since -4 is negative, it is not a natural number.
4. Rational numbers: Rational numbers include all numbers that can be expressed as a ratio of two integers, where the denominator is not zero. -4 can be expressed as -4/1, where -4 is an integer and 1 is also an integer. Therefore, -4 is a rational number.
In conclusion, the number -4 belongs to the subsets of real numbers: Integers and Rational numbers.
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In Australia the speed limit is generally 80-110 km/h depending on the conditions of theroad. If someone in Australia is driving at a speed of 90 km/h, what would their speed be in miles per
hour? Show your work. Round to the nearest thousandth.
Answer:
55.923 MPH
Step-by-step explanation:
Divide by 1.609
If B is the midpoint of line segment AC, AB=20, and BC=4x-4, find x.
Answer:
x = 6
Step-by-step explanation:
B is the midpoint of AC. So, the length of AB equals length of BC
BC = AB
4x - 4 = 20 {add 4 to both sides}
4x -4 + 4 = 20 + 4
4x = 24 { divide both sides by 4}
4x /4 = 24/4
x = 6
1.25x12 divided by 0.6
(1.25 x 12)/ 0.6=
25
Hope this helps :)
If the length of a side of an
equilateral triangle is x, what is half of the perimeter?
Answer:
3/2 x
Step-by-step explanation:
length of a side of an equilateral triangle is x
The perimeter is
P = 3s where s is the side length
P = 3x
1/2 of the perimeter
1/2 (3x)
3/2 x
translating verbal expression: the quotient of twice a number t and 13
Answer:
My answer to the question is 2t÷13.
Answer:
[tex]\Huge \boxed{\frac{2t}{13} }[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
The number t is doubled.
[tex]\Rightarrow t *2[/tex]
[tex]\Rightarrow 2t[/tex]
Quotient is the result after dividing two or more values.
[tex]\Rightarrow \displaystyle \frac{2t}{13}[/tex]
[tex]\rule[225]{225}{2}[/tex]
how far will you travel in 4 seconds flying at a rate of 132 m/s?
Answer:
528 m
Step-by-step explanation:
Speed = Distance / Time
= Distance = Speed × Time
= 4 × 132
= 528 m
Answer:132×4=528
Step-by-step explanation:
For every second add another 132, as it's units are metres per second
The length of an alligator on a zoo is 14 5/8 feet the everglades national park lists the longest alligator in Florida at 17 5/12 feet what is the differences in their lengths
Answer:
2 19/24 feet
Step-by-step explanation:
14 5/8 = 14 15/24
17 5/12 = 17 10/24 ==> 16 34/24
16 - 14 = 2
34/24 - 15/24 = 19/24
Answer = 2 19/24 feet
Hope this helps!
-The Business Man