Answer
It would be 204 because you would turn that 24% into a decimal which would 0.24 then you times 850*0.24 which equal 204.
Step-by-step explanation:
What would be the cost of 6.75 if you include 4.5% sales tax and a 20% tip
Answer:
8.40
Step-by-step explanation:
so I put 20x6.75/100 which = 1.35 and 4.5x6.75/100 which = .30 and I added .30 to 6.75 which = 7.05 and then I added 1.35 to that and got 8.40
so I got $8.40
Which functions have a maximum and are transformed to the left and down of the parent function, f(x) = x2? Check all that apply. P(x) = 14(x 7)2 1 q(x) = –5(x 10)2 – 1 s(x) = –(x – 1)2 0. 5 g(x) = 2x2 10x – 35 t(x) = –2x2 – 4x – 3.
Transformation of a function is shifting the function from its original place in the graph.
The functions have a maximum and are transformed to the left and down of the parent function are,
[tex]q(x) = -5(x +10)^2 -1[/tex]
[tex]t(x) = -2x^2 - 4x - 3[/tex]
Thus the option B and E is correct.
What is transformation of a function?
Transformation of a function is shifting the function from its original place in the graph.
Types of transformation-
Horizontal shift- Let the parent function is [tex]f(x)[/tex]. Thus by replacing parent function with [tex]f(x-b)[/tex] shifts the graph b units right and by replacing parent function with [tex]f(x+b)[/tex] shifts the graph b units left.Vertical shift- Let the parent function is [tex]f(x)[/tex]. Thus by replacing parent function with [tex]f(x)-c[/tex] shifts the graph b units down and by replacing parent function with [tex]f(x)+c[/tex] shifts the graph b units up.
Given information-
The given function in the problem is,
[tex]f(x)=x^2[/tex]
The functions have a maximum and are transformed to the left and down of the parent function.
In the option B the function is shifted 10 units left and 1 units down as,
[tex]q(x) = -5(x +10)^2 -1[/tex]
Thus the option B is the correct option.
In the option E the function is shifted 1 units left and 2 units down as,
[tex]t(x) = -2x^2 - 4x - 3\\t(x)=-2x^2 - 4x - 1-2\\t(x)=-2(x+1)^2-2[/tex]
Thus the option E is the correct option.
Hence, the functions have a maximum and are transformed to the left and down of the parent function are,
[tex]q(x) = -5(x +10)^2 -1[/tex]
[tex]t(x) = -2x^2 - 4x - 3[/tex]
Thus the option B and E is correct.
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Plz help I need so much help
Answer: 28
Step-by-step explanation:
3 to the power of 3 is 3x3= 9 x3 = 27
27 divided by 3 = 9
9-2 = 7 x 4 = 28
Answer always, sometimes, or never.
A) The diagonals of a parallelogram are perpendicular
B) The diagonals of a kite bisect each other
C) A polygon is a quadrilateral
D) Thé diagonals of a rectangle are equal
E) Thé opposite angles of a parallelogram are equal
F) A rhombus is a rectangle
Answer:
See belowStep-by-step explanation:
A) The diagonals of a parallelogram are perpendicular
Sometimes (rhombus)B) The diagonals of a kite bisect each other
Sometimes (one of the diagonals is bisected)C) A polygon is a quadrilateral
Sometimes (when it has 4 sides)D) Thé diagonals of a rectangle are equal
Always (definition of rectangle)E) Thé opposite angles of a parallelogram are equal
Always (definition of parallelogram)F) A rhombus is a rectangle
Never (when all interior angles are equal it becomes a square)#1
Rhombus has diagonals perpendicular to each other.
Sometimes#2
Kite is basically a Rhombus hence always.#3
Sometimes , Quadrilateral is counted among polygon with 4sides#4
Always#5
Always#6
All sides of Rhombus are equal where as rectangle has opposite sides equal
NeverYour family is planning to drive 1560 kilometers on a road trip. How many miles is the trip?
Answer:
The answer is 969.3 miles
Step-by-step explanation:
1560 kilometers = 969.3 miles
Add subtract multuply
I'm not sure what the answer is but I'll add subtract and multiply something. Remember PEMDAS for the order of operations
10 x 2 - 5
= 20 - 5
= 15
That's an example
Solve f(x) = g(x) algebraically. f ( x ) = x 2 − x − 30 g ( x ) = − 2 x + 26
Answer:
x= 7 and -8
Step-by-step explanation:
hope this helps!
One number is four more than five times another. If their sum is increased by one, the result is thirty-five. Find
the numbers.
Answer:
x=4+5yif sum is increased by 3 (x+y+3), result is 31x+y+3=31minus 3 both sidesx+y=28x=4+5y subsiutute4+5y+y=284+6y=28minus 4 both sides6y=24divide by 6y=4sub backx=4+5yx=4+5(4)x=4+20x=24the numbers are 24 and 4
Step-by-step explanation:
If I helped you
dolphinsproduction on insta
Answer:
29 and 5
Step-by-step explanation:
Given system of equations
[tex]\left \{ {{x=4+5y} \atop {x+y+1=35}} \right.[/tex]
Substitute top equation into bottom equation to determine y
[tex]x+y+1=35\\\\(4+5y)+y+1=35\\\\4+5y+y+1=35\\\\5+6y=35\\\\6y=30\\\\y=5[/tex]
Substitute y=5 into top equation to determine the x-value
[tex]x=4+5y\\\\x=4+5(5)\\\\x=4+25\\\\x=29[/tex]
Therefore, the two numbers are 29 and 5
(4 X 3) X 2 please help me!! she needs help again
Answer:
(4 x 3) x 2=
=12 x 2
=24
Step-by-step explanation:
Step-by-step explanation:
(4 × 3) × 2
Always solve the one in the bracket first.
(4 × 3) ×2
(12) × 2
Now, you can multiply both numbers.
12 × 2
=> 24
Hope it helps you. Good night.
900% of what number is 5,940?
Answer:
660
Step-by-step explanation:
If n represents the number, we are told ...
900% × n = 5940
We know that 900% = 900/100 = 9, so this is ...
9n = 5940
Dividing by the coefficient of n gives ...
n = 5940/9 = 660
The number is 660.
Elizabeth has a swimming pool at home. She wants to build a deck all the way around her rectangular swimming pool. The width of her swimming pool is 8 feet and the length is 10 feet. If she has enough wood to build a deck that is 280ft, how wide can she make the deck?
Using the perimeter of a rectangle, it is found that she can make a deck of 122 ft wide.
What is the perimeter of a rectangle?The perimeter of a rectangle of length l and width w is given by:
[tex]P = 2(l + w)[/tex]
In this problem:
She has enough wood to build a deck that is 280ft, hence P = 280.The length is of 10 feet, hence l = 10.Considering that the deck's width will be added to the actual width of 8 feet, we have that w = 8 + w.Then:
[tex]P = 2(l + w)[/tex]
[tex]280 = 2(10 + 8 + w)[/tex]
[tex]36 + 2w = 280[/tex]
[tex]2w = 244[/tex]
[tex]w = \frac{144}{2}[/tex]
[tex]w = 122[/tex]
She can make a deck of 122 ft wide.
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A phone originally priced at $40 is discounted and now sells for $30. What is the percent of discount?
Answer:
25% discount
Step-by-step explanation:
40-30=10
10= 25% of 40
A hospital prepares a 100 mg supply of technetium-99m which has a half-life of 6 hours. How much technetium-99m will remain after 72 hours
Notice that 72 hours is 12 times the half-life of 6 hours. So, the starting amount of 100 mg will decay to half, 12 times. In other words
• after 1 hour, 100 mg decays to 50 mg
• after a total 2 hours, 100 mg decays to 25 mg
• after a total 3 hours, 100 mg decays to 12.5 mg
and so on, so that after a total of 72 hours, the hospital is left with
[tex]\dfrac{100\,\rm mg}{2^{12}} = \boxed{0.0244140625 \, \mathrm{mg}}[/tex]
Please help thank you
The sum of 2 numbers is 17 and their difference is 29 what are the two numbers
Answer:
23 , -6
Step-by-step explanation:
Let the unknown two numbers be x & y.
According to the question,
The sum of 2 numbers is 17 .
x + y = 17 ⇒ (1)
Their difference is 29 .
x - y = 29 ⇒ (2)
First let us find the value of x.
(1) + (2)
x + y + ( x - y ) = 17 + 29
x + y + x -y = 46
2x = 46
Divide both sides by 2.
x = 23
And now let us find the values of y.
x + y = 17
23 + y = 17
y = 17 - 23
y = -6
There fore, the two numbers are 23 , (-6)
Hope this helps you :-)
Let me know if you have any other questions :-)
Examine the following diagram:
1
X
Which statement is not true of the given diagram?
Om22+ m23 = 180°
O m2 2 + 24 = 180°
O 23 and 24 are vertical angles
3
4.
N
O 22 = 24
Answer:
The answer is D.
Step-by-step explanation:
Angle two is not congruent to angle four in any way, they are not vertical angles, but they are adjacent, although this doesn't mean they are congruent, rather it means that if added, they will equal 180 degrees.
The lines are intersecting and the angles ∠2 ≅ ∠4 is not true
What are the angles formed by 2 intersecting lines?Two straight lines that intersect at the same location are said to be intersecting lines. The junction point is the place where two intersecting lines meet. Four angles are created when two lines cross. The four angles added together always equal 360 degrees.
Perpendicular lines are two straight lines that intersect and form right angles. When two perpendicular lines intersect, they form four right angles.
When lines intersect, two angle relationships are formed:
Opposite angles are congruent
Adjacent angles are supplementary
Given data ,
Let the first line be represented as a
Let the second line be represented as b
Now , the lines a and b intersect at point O
where ,
m∠2 + m∠3 = 180° ( angles on a straight line = 180° )
m∠2 + m∠4 = 180° ( angles on a straight line = 180° )
And , ∠3 and ∠4 are congruent ( vertical angles )
Hence , the incorrect statement about intersecting lines is ∠2 ≅ ∠4
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Solve the system by substitution.
-2x=y
4x+10y=16
Answer:
x=-1, y=2
Step-by-step explanation:
Plug the y=-2x into the second equation in place of the y to get 4x+10(-2x)=16
Simplify this to 4x-20x=16 then to -16x=16
Divide both side by -16 to get x=-1
Plug x=-1 into the first equation to get -2(-1)=y
Simplify to get y=2
Find the value of x in the given
right triangle.
12
x
5
Enter your answer as a decimal rounded to the
nearest tenth
Check the picture below.
Make sure your calculator is in Degree mode.
Answer the question below!
A ramp is being built at a 30 degree angle from the ground. it must cover 10 horizontal feet. what is the length of the ramp?
Round your answer to the nearest hundredth of a foot.
Don't know if this is a feature, but if you can, draw a picture and show your work.
A) 11.5 ft.
B) 12.41 ft.
C) 13.53 ft.
D) 16.91 ft.
E) 5.77 ft.
Answer:
Step-by-step explanation:
I WILL GIVE BRAINLEST!!!!!! On the coordinate plan, what is the distance between the points (4.2) and (-7, 2)? A) 3 Di 11
Answer:
Step-by-step explanation:
[tex]d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2} \\=\sqrt{(-7-4)^2+(2-2)^2} \\=11[/tex]
Answer:
D) 11
Step-by-step explanation:
The points have in common the same value of the y-axis so the distance between them is the sum of the absolute values of x-axis.
Absolute values are always positive:
4 + 7 = 11
Hope this helps
Seven added by a number m is equal to twice the same number increased by three.
Which statements describe the solutions to ? Check all that apply. There are no true solutions to the radical equation. X = 2 is an extraneous solution. X = 3 is a true solution. There is only 1 true solution to the equation. The zeros of 0 = x2 – 5x 6 are possible solutions to the radical equation.
You can square both the sides and then use the formula for finding the roots of the obtained quadratic equation to find the solution needed.
The statements describing the solutions to the given equations are
Option C: x = 3 is a true solution.Option E: The zeroes(also called solutions) of [tex]x^2 - 5x + 6 = 0[/tex] are possible solutions to the radical equation.How to find the solutions to a quadratic equation?Let the quadratic equation be [tex]ax^2 + bx + c = 0[/tex]
Then the solution to this quadratic equation is given as
[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]
What are extraneous solutions?Those values of the variables who come out behaving like solutions but when tested, doesn't get proved as solutions to the given equation are called extraneous solutions.
Using that above conclusion to find the solutions to the given equationSolutions to an equation means those values of the unknown for which the equation is true.
The given equation is
[tex]\sqrt{x-2} -4 = x - 6[/tex]
Converting that equation to quadratic form, we get
[tex]\sqrt{x-2} -4 = x - 6\\\\\sqrt{x-2} = x - 2\\[/tex]
From the obtained equation, we can see that x-2 is such a number whose square root is it itself. It is true for 2 numbers only.
First 1, and second 0.
Putting these values, we get
[tex]x-2 = 1\\x = 2+1 = 3\\\\x-2 = 0\\x = 2[/tex]
Thus, there are two solutions to the given equation. They are x = 2, and x = 3
Testing both the solutions by putting them in the given equation.
Case 1: x = 2
[tex]\sqrt{x-2} -4 = x - 6\\\sqrt{2-2} - 4 = 2 - 6\\0-4 = -4\\-4 = -4[/tex]
This is correct equality, thus, x = 2 is a correct solution.
Case 2: x = 3
[tex]\sqrt{x-2} -4 = x - 6\\\\\sqrt{3-2} - 4 = 3 - 6\\1 - 4 = -3\\-3 = -3[/tex]
This is correct equality, thus, x = 3 is a correct solution.
The zeroes(also called solutions) of [tex]x^2 - 5x + 6 = 0[/tex] is found as:
[tex]x^2 - 5x + 6 = 0\\x^2 - 3x - 2x +6 = 0\\(x-2)(x-3) = 0\\x = 2, x = 3[/tex]
Thus, the The zeroes(also called solutions) of [tex]x^2 - 5x + 6 = 0[/tex] are possible solutions to the radical equation given.
Thus,
Option C: x = 3 is a true solution.Option E: The zeroes(also called solutions) of [tex]x^2 - 5x + 6 = 0[/tex] are possible solutions to the radical equation.Learn more about extraneous solutions here:
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Answer:
C and E are the correct answers.
Step-by-step explanation:
It's correct on Edgen. (2022)
If the price of pineapple juice was $4.50 a gallon and it is now $5.75 a gallon, what is the percentage change in price
Answer:
1 doller and 25 cents so easy
Step-by-step explanation:
don’t get this question , need some help thankssss
Answer:
PQ = 37 Km
Step-by-step explanation:
let PQ = x , then
PR = x + 15 and QR = 3(x + 15) = 3x + 45
sum the parts and equate to 245
x + x + 15 + 3x + 45 = 245 , that is
5x + 60 = 245 ( subtract 60 from both sides )
5x = 185 ( divide both sides by 5 )
x = 37
then
PQ = x = 37 Km
ber
4. Mr. Conner purchased 8 liters of eyewash
solution for the science lab. How many
milliliters did Mr. Conner buy?
A 0.8 mL
B 80mL
C 800mL
D 8000mL
In this right triangle, what is the length of the unknown side?
Answer:
√104 in
Step-by-step explanation:
Well to start off we can use Pythagorean's theorem ~ A^2 + B^2 = C^2
in this case we will indirectly use this formula. Now we know this; A^2 + 11^2 = 15^2
Let's start using some algebra now B )
A^2 + 121 = 225 > A^2 = 225 - 121 > A^2 = 104 > A = √104
Which is the answer. ALso if you're the brainy type and want to know how to simplify this even further...
Can the Square Root of 104 Be Simplified?
104 can be simplified only if you can make 104 inside the radical symbol smaller. This is a process that is called simplifying the surd. In this example, the square root of 104 can be simplified.
√104 = 2√26.
Which model shows the correct factorization of x2 – x – 2? An algebra tile configuration. 3 tiles are in the Factor 1 spot: 1 is labeled x and 2 are labeled. 2 tiles are in the Factor 2 spot: 1 is labeled x and 1 is labeled negative. 6 tiles are in the Product spot: 1 is labeled x squared, 2 are labeled x, 1 is labeled negative x, and 2 are labeled negative. An algebra tile configuration. 3 tiles are in the Factor 1 spot: 1 is labeled x and 2 are labeled negative. 2 tiles are in the Factor 2 spot: 1 is labeled x and 1 is labeled. 6 tiles are in the Product spot: 1 is labeled x squared, 2 are labeled negative x, 1 is labeled x, and 2 are labeled negative. An algebra tile configuration. 3 tiles are in the Factor 1 spot: 1 is labeled x, 1 is labeled , and 1 is labeled negative. 2 tiles are in the Factor 2 spot: 1 is labeled x and 1 is labeled negative. 6 tiles are in the Product spot: 1 is labeled x squared, 1 is labeled x, 2 are labeled negative x, and 2 are labeled negative. An algebra tile configuration. 3 tiles are in the Factor 1 spot: 1 is labeled x and 2 are labeled. 2 tiles are in the Factor 2 spot: 1 is labeled x and 1 is labeled. 6 tiles are in the Product spot: 1 is labeled x squared, 2 are labeled x, 1 is labeled negative x, and 2 are labeled.
The correct factor is (x - 2) and (x + 1).
Quadratic equationIt is a polynomial that is equal to zero. Polynomial of variable power 2, 1, and 0 terms are there. Any equation having one term in which the power of the variable is a maximum of 2 then it is called a quadratic equation.
Given
x² - x - 2 = 0 is a quadratic equation.
To findThe factor of the given equation.
How to find the factor of the given equation?x² - x - 2 = 0 is a quadratic equation.
According to factorization,
x² - x - 2 = 0
x² - 2x + x - 2 = 0
x(x - 2) +1 (x - 2) = 0
( x - 2 ) ( x + 1 ) = 0
Thus the correct factor is (x - 2) and (x + 1).
More about the quadratic equation link is given below.
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The sales tax in your city is 8.8%, and an item costs $63.50. How much tax would you pay on that item?
Step-by-step explanation:
63.5*0.088 =5.588 tax for your answer
So I'm currently doing online school due to external circumstances and haven't done this type of problem before. I need help finding DE and an explanation on how to get it, thanks!
Answer:
DE ≈ 14.91
Step-by-step explanation:
Make use of the relationships between sides and angles in a right triangle. These are summarized by the mnemonic SOH CAH TOA:
Sin = Opposite/Hypotenuse
Cos = Adjacent/Hypotenuse
Tan = Opposite/Adjacent
__
The side DE is opposite the angle 19°, so the sine or tangent relation will be involved. The sine relation requires you know hypotenuse EF. The tangent relation requires you know adjacent side DF.
The only common side between triangles CDF and DEF is side DF. That side is opposite the given 61° angle. The given side length (CF = 24) is adjacent to the 61° angle.
This means you have enough information to use these relations:
tan(61°) = DF/CF = DF/24
DF = 24·tan(61°)
and
tan(19°) = DE/DF
DE = DF·tan(19°) = (24·tan(61°))·tan(19°) . . . . . use DF from above
DE ≈ 24(1.804048)(0.344328) ≈ 14.908
The length of DE is about 14.91.
How many liters of water should be added to 18 liters of a 14% bleach solution so that the resulting solution contains only 10% bleach? Original (L) Added (L) New (L) Amount of Bleach 2. 52 0 Amount of Solution 18 x 1. 8 liters 7. 2 liters 15. 5 liters 25. 2 liters.
The amount of water that should be mixed with 18 liters of 14% bleach solution to form 10% bleach solution is 7.2 liters.
What amount of water should be mixed with 1 liter of 14% bleach?The amount of water should be mixed with 1 liter of 14% bleach solution,
we know that the water will have 0% bleach. thus, the amount of water we need to mix with the 14% bleach solution is (2/5) liters.
Therefore, the ratio of water and bleach solution can be written as,
[tex]\rm \dfrac{14\%\ solution}{Water} = \dfrac{5}{2}[/tex]
What amount of water should be mixed with 18 liters of 14% bleach?We know the ratio of water and bleach solution that should be mixed to form a 10% concentration bleach is (5/2), therefore, we will use the same ratio,
[tex]\rm \dfrac{14\%\ solution}{Water} = \dfrac{5}{2}[/tex]
[tex]\rm \dfrac{18}{Water} = \dfrac{5}{2}\\\\\rm {Water} = \dfrac{18\times 2}{5}\\\\\rm Water = 7.2\ liters[/tex]
Hence, the amount of water that should be mixed with 18 liters of 14% bleach solution to form 10% bleach solution is 7.2 liters.
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