Which type of light is most likely to cause burns?why?
what translation rule can be used to describe the result of the composition of (x,y) --> (x - 9,y - 2) and (x,y) --> (x + 1, y - 2) ? PLEASE HELPPPPP!!!!!
we know that
the rule of the translation A is
[tex](x,y)-----> (x-9,y-2)[/tex]
that means
the translation is [tex]9[/tex] units to the left and [tex]2[/tex] units down
the rule of the translation B is
[tex](x,y)-----> (x+1,y-2)[/tex]
that means
the translation is [tex]1[/tex] unit to the right and [tex]2[/tex] units down
therefore
the rule of the composition A+B is
[tex](x,y)-----> (x-9+1,y-2-2)[/tex]
[tex](x,y)-----> (x-8,y-4)[/tex]
that means
the translation is [tex]8[/tex] units to the left and [tex]4[/tex] units down
so
the answer is
[tex](x,y)-----> (x-8,y-4)[/tex]
The translation rule that describes the result of the composition of the transformations (x, y) --> (x - 9, y - 2) and (x, y) --> (x + 1, y - 2) is (x, y) --> (x - 8, y - 4). This rule is obtained by sequentially applying each transformation to (x, y).
Explanation:When we talk about compositions of translations in geometry, what we are doing is carrying out one translation after the other. So, if we have two translations: (x, y) --> (x - 9, y - 2) and (x, y) --> (x + 1, y - 2), we perform these operations sequentially.
First, we apply the transformation (x,y) --> (x - 9, y - 2). Then we take these new coordinates and apply the second transformation (x,y) --> (x + 1, y - 2). The result of this composition is (x - 9 + 1, y - 2 - 2) = (x - 8, y - 4), as you add (or subtract) the changes introduced by each translation.
So, the translation rule that can be used to describe the result of the composition of these transformations is: (x, y) --> (x - 8, y - 4).
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What is the missing polynomial? ? – (20 – 4x – 5x2) = 20 – 7x2 A. 4x-12x^2 B. 4x-2x^2 C. 40-4x-12x^2 D. 40-4x-2x^2
For a party, liam ordered 1 taco for each guest, for $2.50 each, and paid a $2.00 delivery fee. michelle ordered 1 burrito for each guest, for $1.80 each, and paid a $3.00 delivery fee. let g represent the number of guests that attended the party. which simplified expression represents the total cost of the two orders?
a. 4.3g + 5
b. 4.5g + 4.8g
c. 6.3g + 3
d. 9.3g
What is the equation of a line that passes through the point (5, −4) and is parallel to the line whose equation is 2x + 5y = 10?
Rewrite the given equation in slope intercept form:
5 y = 10 – 2 x
y = - 0.4 x + 2
Since the two lines are parallel, therefore they have similar slope which is – 0.4, so the equation is:
y = - 0.4 x + b
Given that x = 5, y = -4, find for b:
-4 = - 0.4 (5) + b
b = -2
So the answer is:
y = - 0.4 x – 2
or
2 x + 5 y = - 10
–2x + 3y = 21
3x – 2y = 21
–2x – 3y = 21
–2x + 3y = 7
Answer:
D.
Step-by-step explanation:
-2x+3y=7.I just took the test.
Katlin divided a fraction by 1/2 the result was a mixed number. was the fraction less than or greater than 1/2? EXPLAIN.
a jeweler bought some necklaces and bracelets for $1,100. the cost of the necklaces was 20% more than the cost of the bracelets. how much did the jeweler pay for
A) the necklaces?
B) the bracelets?
A grocery store gives away a $10 gift card to every 25th customer and a $20 gift card to every 60th customer. a. Which customer will be the first to receive both gift cards?After this customer receives both gift cards, what is the total amount in gift cards that the store has given away?
Irvan bought a drink for $1.90, a sandwich for $ 2.25, and an apple for $.75. What is the total amount of money he spent
Veronica gave 20% of her money to Bill. She used 50% of the remaining money to buy books.
If Veronica gave $35 to Bill, she spent $ to buy books and she has $ left.
Answer:
If Veronica gave $35 to Bill, she spent $70 to buy books and she has $70 left.
Step-by-step explanation:
A projectile is thrown upward so that its distance above the ground after t seconds is given by the function h(t) = -16t² + 704t. After how many seconds does the projectile take to reach its maximum height? Show your work for full credit.
Answer:
22 secs.
Step-by-step explanation:
h(t) = -16t^2 + 704t
The maximum will happen where the first derivative is equal to 0.
h’(t) = -32t + 704
-32t + 704 = 0 => -32t = -704 After subtracting 704 from both sides of the equation
Now divide both sides of the equation by -32
t = 22 secs.
Double Check: recalculated/reasonable ✅ ✅
Answer: 22 secs.
Just an interesting aside. After 22 secs, the projectile will be -16(22)^2 + 704(22) = -7744 + 15,488 = 7744 units up as its maximum height.
can 0.525252 be written as a fraction why or why not
Which expression is equal to (3x−5)(2x−7)?
6x2−31x+35
5x2−21x+12
6x2+31x−35
6x2−31x−12
Answer:
[tex]6x^2-31x+35[/tex]
Step-by-step explanation:
Given expression,
[tex](3x-5)(2x-7)[/tex]
By using distributive property,
[tex](3x-5)(2x) - (3x - 5)(7)[/tex]
Again by distributive property,
[tex]3x(2x) - 5(2x) - 3x(7) + 5(7)[/tex]
[tex]6x^2 - 10x - 21x + 35[/tex]
[tex]6x^2-31x+35[/tex]
Hence, FIRST option is correct.
Factor the expression. X^4+6x^2-7 completely. Show work!
Trevor is holding 5 red balloons and 4 blue balloons. He randomly selects a balloon to give his sister, and then he randomly selects a balloon to give his brother. Are two events dependent or independent? Explain.
A) Dependent. The two siblings will want the same color balloon.
B) Independent. Girls always want red and boys always want blue.
C) Independent. There are a set number of red balloons and blue balloons.
D) Dependent. When the first balloon is taken, it affects the ratio of red to blue balloons.
Answer:
Dependent. When the first balloon is taken, it affects the ratio of red to blue balloons.
Step-by-step explanation:
Whatever color the sister choses is irrelevant, eliminating answers A and B, but it does change the odds. If there are 5 red balloons and 4 blue balloons, if the sister is given a blue balloon, the odds of the brother receiving a red balloon increases (vis versa).
what is the perimeter of a square with a side length of 5/7 units.
A cone is placed inside a cylinder as shown. The radius of the cone is half the radius of the cylinder. The height of the cone is equal to the radius of the cylinder. What is the volume of the cone in terms of the radius, r?
Answer:
Volume of the cone is [tex]\frac{1}{12}\pi r^{3}[/tex]
Step-by-step explanation:
Formula to find the volume of a cone is V = [tex]\frac{1}{3}\pi r^{2}h[/tex]
Here r is the radius of the cone and h is the height of the cone.
Since radius of cone = [tex]\frac{1}{2}(\text{Radius of cylinder})[/tex]
= [tex]\frac{r}{2}[/tex]
Height of the cone = radius of the cylinder = r
Now we put the values of radius and height of cone in the formula
Volume of cone = [tex]\frac{1}{3}\pi (\frac{r}{2})^{2}(r)[/tex]
= [tex]\frac{1}{3}\pi(\frac{r^{2}}{4})(r)[/tex]
= [tex]\frac{1}{12}\pi r^{3}[/tex]
Therefore, volume of the cone is [tex]\frac{1}{12}\pi r^{3}[/tex]
What is the value of the underlined digit in the following number?
3.69
9 hundredths
90 hundredths
9 tenths
9 thousandths
what is the coefficient in the expression x / 3 + 7
Answer:
The coefficient of x is [tex]\frac{1}{3}[/tex]
7 is a constant
Step-by-step explanation:
[tex]\frac{x}{3} +7[/tex]
We need to find the coefficient of each term in the given expression
x/3 can be written as 1/3 times x
The coefficient is the number with the variable x
The coefficient of x is [tex]\frac{1}{3}[/tex]
7 is a constant
James buys a shirt and a pair of socks on sale for 25% off. if the price of the shirt before the sale was $24 and he spent a total of $24, what was the original price of the socks?
Answer:
The original price of socks was $8.
Step-by-step explanation:
James buys a shirt and a pair of socks on sale for 25% off.
The price of the shirt before the sale was $24 that means after discount the price was:
[tex]24-(0.25\times24)[/tex] = $18
And James paid a total of $24.
That means the price of socks after discount is = [tex]24-18[/tex] = $6
Let the original price of socks be x. And after 25% discount, it was for $6.
So, [tex]x-0.25x=6[/tex]
=> [tex]0.75x=6[/tex]
x = 8.
Hence, the original price of socks was $8.
What is the value of e^Ln7x ?
A. 1
B. 7e
C. 7x
D. 7
Answer:
the answer is 7x on edg... i just took the pretest
Step-by-step explanation:
Figure ABCD is a parallelogram
Answer:
x = 7
Step-by-step explanation:
Figure ABCD is a parallelogram
So sides AD and BC will be parallel and their length will be same.
[Since opposite sides of parallelogram are equal in length]
So mAD = mBC
(5x + 3) = 38
5x = 38 - 3 = 35
x = [tex]\frac{35}{5}[/tex]
x = 7
Therefore, x = 7 will be the answer.
6L127ml=__________ mL
.The population in the Northeast was 53,594,378 people in 2000 and 55,317,240 people in 2010. By about what percent did the population change? Did the population grow or shrink? Answer:
Carrie made a square tablecloth with an area of 169 square inches. What was the length of each side of the tablecloth?
Plz hurry
The length of each side of the tablecloth is 13 inches.
Explanation:To find the length of each side of the tablecloth, we need to take the square root of the area. Since the area is given as 169 square inches, we can take the square root of 169. The square root of 169 is 13, so each side of the tablecloth is 13 inches long.
Which graph represents the function y – 3 = (x – 4)?
The graph represents the function y = (x - 1), as per linear equation.
What is a linear equation?A linear equation represents an equation that has one or multiple variables with the highest power of the variable is 1.
The given equation is:
y - 3 = x - 4
⇒ y = x - 1
Therefore, for x = 0, y = - 1
for x = 1, y = 0
for x = - 1, y = - 2
Therefore, the graph will pass through points (0, - 1), (1, 0), (- 1, - 2).
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Answer:
its A
Step-by-step explanation:
Express 112 as a product of prime numbers in index form?
Final answer:
To express 112 as a product of prime numbers in index form, we perform prime factorization to get 2⁴ x 7.
Explanation:
To express 112 as a product of prime numbers in index form, we start by performing prime factorization, which is breaking down a composite number into the prime numbers that, when multiplied together, give the original number.
Let's find the prime factors of 112:
112 is divisible by 2 (the smallest prime number).112 ÷ 2 = 5656 is also divisible by 2, so 56 ÷ 2 = 28Continuing this process, 28 ÷ 2 = 14, and then 14 ÷ 2 = 7The number 7 is a prime number and cannot be divided further.So, we can express 112 as a product of prime factors as 2⁴ × 7¹ or simply 2⁴ × 7, since any number to the power of 1 is the number itself.
Decide if the following is a properly formed syllogism.
If you drink tea, you always add sugar.
If sugar is added, then the tea is sweeter.
Therefore, if it is sweet, then you’re drinking tea.
a. This is not a syllogism.
b. This is a syllogism.
The following is not a properly formed syllogism.
Option A is the answer.
What is a syllogism?A syllogism is a form of argument where the conclusion follows from the truth of two or more given statements.
We have,
Statements:
If you drink tea, you always add sugar.
If sugar is added, then the tea is sweeter.
Conclusion:
If it is sweet, then you’re drinking tea.
This is not a conclusion from the truth of the given statements.
There is nowhere mention of tea in the statements.
Thus,
It is not a properly formed syllogism.
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The area of circle z is 64 pi ft^2
What is the value of r?
we know that
The area of the circle is equal to
[tex]A=\pi r^{2}[/tex]
where
r is the radius of the circle
In this problem we have
[tex]A=64\pi \ ft^{2}[/tex]
substitute in the formula and solve for r
[tex]64\pi=\pi r^{2}[/tex]
Simplify
[tex]64=r^{2}[/tex]
Square root both sides
[tex]r=8\ ft[/tex]
therefore
the answer is
The value of r is [tex]8\ ft[/tex]