Answer:
see explanation
Step-by-step explanation:
Given
y = 3(x - 3)(x - 2)
To find the x- intercepts, let y = 0, that is
3(x - 3)(x - 2) = 0
Equate each factor to zero and solve for x
x - 3 = 0 ⇒ x = 3
x - 2 = 0 ⇒ x = 2
Thus the x- intercepts are x = 2 and x = 3
To find the y- intercept let x = 0 and equate for y, that is
y = 3(0 - 3)(0 - 2) = 3(- 3)(- 2) = 3 × 6 = 18
Thus the y- intercept is y = 18
IN UNIT TEST!
Rectangle PQRS is rotated 90° counterclockwise about the origin.
On a coordinate plane, rectangle P Q R S has points (2, 3), (5, 3), (5, 1), (2, 1).
What are the coordinates of point Q’?
Q’( –3, 5)
Q’(3, –5)
Q’(5, –3)
Q’(–5, –3)
Answer:
(-3, 5)
Step-by-step explanation:
im assuming the orginal point q is (5, 3)
Based on the given scenario above, the coordinates of point Q is known to be (-3, 5).
What is the points about?Note that if a point P(x, y) is rotated 90° counterclockwise around the origin, one has to flip x and y and reverse the sign of y.
So, The rule to rotate a point P(x, y) after a rotation 90° counterclockwise around the origin is said to be:
P(x, y) = P'(-y, x)
In this question, rectangle PQRS is rotated 90° counterclockwise about the origin.
The rectangle is said to have the coordinates:
P(2, 3)
Q(5, 3)
R(5, 1)
S(2, 1)
Therefore we look for the coordinates of the point Q’.
By using the rule to rotate a point P(x, y) after a rotation 90° counterclockwise around the origin, then:
P(x, y) = P'(-y, x)
Therefore, coordinates of the point Q’ will be:
Q(5, 3) = Q'(-3, 5)
Therefore, the coordinates of point Q' is: Q'(-3, 5)
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(SAT Prep) In the figure, what is the length of BC?
A. 25
B. 15
C. 18
D. 22
Answer:
I got 18 as my answer
Step-by-step explanation:
I made a triangle with the right side by dropping a vertical. Lets call the point straight down from C, E
Then I found the angle of D
sin θ = 5/13
θ = sin-¹(5/13)
θ≅22.619°
Then I found length of DE by
cosθ (remember we know what theta is) = X/13
12cosθ = X
X = 12
The length of DE is 12.
Since AD is 30, and the left side has two right angles we can do
AD - DE to find BC.
30-12 is 18
The length of BC is C. 18.
What is Pythagoras Theorem?Pythagoras theorem states that for a right angled triangle, the square of the hypotenuse is the sum of the squares of base and altitude.
Given is a trapezoid.
First draw a perpendicular line from C to the segment AD.
Mark the intersecting point of line and AD by P.
We know that,
CP = BA = 5
Using Pythagoras theorem,
PD = √(13² - 5²) = √(169 - 25) = √144 = 12
Now, AP + PD = AD
AP = AD - PD
= 30 - 12
= 18
Now, BC = AP = 18.
Hence the length of BC is 18.
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Suppose a bag contains 5 balls numbered 1 through 5. In how many way scan you select 5 balls from the bag if there is no replacement after selection?
Answer:
5
Step-by-step explanation:
We are being asked in how many ways an enumerated ball can be removed without any type of replacement, therefore it would be a combination without repetition:
nCr = n! / r! * (n-r)!
n, total number of balls, 5
r, specific number of balls, 1
5C1 = 5! / (1! * 4!) = 5
Therefore there are 5 ways to do the above.
someone help please!!
Answer:
9. 0.3
10. 0.0
11. 0.4
12. 0.3
Step-by-step explanation:
I am not 100% sure about this, but this is what I could come up with.
Solve for an angle in right triangles help
Answer:
26.39
Step-by-step explanation:
[tex] \sin(B) = \frac{AC}{AB} = \frac{4}{9} [/tex]
[tex]B = {sin}^{ - 1} = \frac{4}{9} [/tex]
[tex] = 26.387[/tex]
[tex] = 26.39[/tex]
Answer: 26.39 degrees
Step-by-step explanation: sin ^-1= 4/9
26.3877
what is -10(-7x-7)-4(-8x-9)
Answer:
The answer is -202
A sphere has a volume of 32/3 pie cubic units what is the radius of the sphere
Answer:
radius=2
Step-by-step explanation:
volume= 4/3 pi r^3
32/3pi=4/3r^3
divide out 4/3
8pi=r^3
cube root
r=2
Anderson’s Nursery was choosing between two different greenhouses.
2 greenhouses have a rectangular prism base with a length of 12 meters, width of 12 meters, and height of 10 meters.
Greenhouse 1 has a square pyramid top with a base of 12 meters by 12 meters and height of 8 meters.
Greenhouse 2 has a triangular prism top. The triangular sides have a base of 12 meters and height of 8 meters. The prism has a height of 12 meters.
Which statements are true about the greenhouses? Select two options.
The space inside greenhouse 1 can be found using the equation V = 12 (12) (10) + one-half (12) (12) (8).
The space inside greenhouse 1 can be found using the equation V = 12 (12) (10) + one-third (12) (12) (8).
The space inside greenhouse 2 can be found using the equation V = 12 (12) (10) + one-half (12) (12) (8).
The space inside greenhouse 2 can be found using the equation V = 12 (12) (10) + one-third (12) (12) (8).
The space inside greenhouse 1 is 192 meters cubed greater than the space inside greenhouse 2.
Answer:
B and C
Step-by-step explanation:
Hope this helps!
Doing this question now! :)
Applying the appropriate volume formula for the square pyramid and prism, the statements that are true are: B and E.
What is the Volume of Square Pyramid?Volume = 1/3(a²)h
What is the Volume of a Triangular Prism?Volume = 1/2(a)(b)(h)
What is the Volume of a Rectangular Prism?
Volume = lbh
Space inside Greenhouse 1 = volume of rectangular prism + volume of square pyramid = lbh + 1/3(a²)h
= (12)(12)(10) + 1/3(12)(12)8
= 1,824 m³
Space inside Greenhouse 2 = volume of rectangular prism + volume of triangular prism = lbh + 1/2(a)(b)(h)
= (12)(12)(10) + 1/2(12)(8)(12)
= 2,016 m³
Space inside Greenhouse 2 - Greenhouse 1 = 192 m³
The true statements are B and E.
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Please help me solve this question
Answer:
x=12
Step-by-step explanation:
The shapes are similar, so their corresponding sides will be proportionate
Use the bases and the right most sides to create the proportion
14/56=3/x
Cross multiply
14*x=56*3
14x=168
Divide both sides by 14
x=12
Answer:
missing side is x =12
Step-by-step explanation:
[tex]given \: that \: two \: figures \: are \: similar \\ correspondung \: sides \: are \: proportional \\ let \: us \: take \: any \: two \: sides \: \\ including \: the \: value \: of \: x \\ \frac{10}{40} = \frac{3}{x} \\ \frac{1}{4} = \frac{3}{x} \\ x = 3 \times 4 \\ x = 12[/tex]
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THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.
Cait purchases a $20 item at a store. She uses a coupon to receive a 15% discount, and she pays a 6% sales tax on
the item. She calculates the total cost, in dollars, of the item using the expression shown.
en este
personen
in om
die pan en
Cait's Expression
(1.15)(1.06)(20)
A. Describe the error in the expression Cait used for her calculation.
B. Show or explain how you would calculate the total cost of Cait's purchase.
Type your answers in the space provided.
Answer:
A. Cait treated the discount as an increase
B. (20) (1.06) (0.85)
Step-by-step explanation:
Hi, Cait treated the discount as an increase.
Cait multiplied the price (20) by the tax percentage (increase) 1.06
Since the sale tax increase is 6% and it is added to the price we have to express it in decimal form (6/100=0.06) and add it to 1.
20 (1 +0.06) = 20 (1.06)
The coupon discount is subtracted to the price. So, the correct form is:
15/100= 0.15
20 (1-0.15) = 20 (0.85)
Instead of this, Cait expressed the percent discount as a percent increase .
20 (1+0.15) = 20 (1.15)
The correct form is (20) (1.06) (0.85)
To make a profit, stores mark up the prices on the items they sell. A sports store buys skateboards from a supplier for s dollars. What is the retail price for skateboards that the manager buys for $35 and $56 after a 42% markup ? Which expressions represent the markup of the skateboard, where s is the original cost of the skateboard
Answer:
The retail price for the $35 skateboard = $49.70
The retail price for the $56 skateboard = $79.20
Step-by-step explanation:
Please kindly check the attached files for detalils
The radius of a dog's collar
should be at least 0.5 inch larger than
the radius of the dog's neck. A dog collar
adjusts to a circumference of 10 to
14 inches. Should the collar be worn
by a dog with a neck circumference of
12.5 inches? Explain.
Answer:
No. The collar should not be worn by this dog.
Step-by-step explanation:
Please kindly go through the attached files for more explanation.
Final answer:
the collar is too small for the dog.
Explanation:
To answer whether the dog collar should be worn by a dog with a neck circumference of 12.5 inches, we must consider the information given: the dog's collar adjusts between a circumference of 10 and 14 inches and it should be at least 0.5 inch larger than the dog's neck circumference.
First, we calculate the radius of the dog's neck using the formula for circumference: C = 2πr. For a neck circumference of 12.5 inches, the radius (r) would be:
C = 2πr
12.5 = 2πr
r = 12.5 / (2π)
r ≈ 1.9875 inches
Now, to ensure comfort, the collar's radius should be at least 0.5 inch greater than the dog's neck radius. Adding 0.5 inch to the dog's neck radius gives us:
1.9875 inches + 0.5 inch = 2.4875 inches
Which means the collar's circumference should be at least:
C = 2πr
C ≈ 2π(2.4875)
C ≈ 15.63 inches
Given that the collar adjusts to a maximum of 14 inches, this would be too small for a dog with a neck radius as calculated. Therefore, the collar should not be worn by a dog with a neck circumference of 12.5 inches, as it would not accommodate the extra 0.5 inch needed for comfort.
HELPPP, please:) super easy
Answer:
6.8
Step-by-step explanation:
Answer:
Just by approximating without a calculator, you would know it under the sqrt of 49, so it should be less than 7 and greater than 6 (sqrt of 36)
With a calculator and rounding, you will find that the answer is 6.8.
the figure is the net for a rectangular prism. what is the surface area of the rectangular prism represented by the net? enter your answer in the box.
Answer:
544
Step-by-step explanation:
What is the approximate circumference of the globe?
Part of the North Carolina Museum of Natural Sciences
is a model of a three-story globe. Assuming the globe
represents a full sphere, the volume of the sphere would
be approximately 57,166 cubic feet.
z feet
Answer:
70
Step-by-step explanation:
What’s the slope of this question
Answer:
i believe its 1.5
Step-by-step explanation:
its -4.5 crossing over the y-axis then 3 across divide that and get 1.5
Which of the following is a linear function?
y = 3x^2
y = 1 over 3x
y = x^3 + 5
2 over 3x = y − 1
Answer:
y= 1 over 3x
Step-by-step explanation:
I thought it was 2 over 3x but it was wrong so it has to be y= 1 over 3x
what is Pythagorean theorem
Answer:
Pythagorean theorem - theorem that states that the sum of the squares of the two legs is equal to the square of the hypotenuse in a right triangle
True or false 0.20 is equivalent to 2/100
Answer:
0.02 is equivalent to 2/100
therefore it is false
if i can have brainliest that would be great
Final answer:
The statement that 0.20 is equivalent to 2/100 is false. The correct equivalent fraction of 0.20 is 20/100, which simplifies to 1/5.
Explanation:
The question asks whether 0.20 is equivalent to 2/100. This is false. The decimal 0.20 is equivalent to 20/100, which simplifies to 1/5 when you divide the numerator and the denominator by the greatest common divisor, which is 20 in this case. To convert a decimal to a fraction, place the decimal number over its place value. Since there are two digits to the right of the decimal point in 0.20, you would put 20 over 100, which reduces to 1/5. On the other hand, 2/100 cannot be simplified further and remains as is. Thus, 0.20 is not equivalent to 2/100; it is actually ten times larger.
Is u = - 1/2 a solution of 8u - 1 = 6u
Answer:
-1/2 is not a solution
Step-by-step explanation:
8u-1 = 6u
Subtract 8u from each side
8u-1 -8u = 6u-8u
-1 = -2u
Divide each side by -2
-1 /-2 = -2u/-2
1/2 = u
Answer:
No, u = - 1/2 is not a solution of 8u - 1 = 6u
Step-by-step explanation:
[tex]8u - 1 = 6u \\ 8u - 6u = 1 \\ 2u = 1 \\ \\ u = \frac{1}{2} [/tex]
here we get u = +1/2
The image shows parallel lines cut by a transversal. The expressions represent unknown angle measurements. What is the value of x?
A)5 B)7 C)9 D)11
Answer: C
because
it is
Answer:
Step-by-step explanation:
the answer is B cause a Supplementary angles sum is 180°. So, set the angles equal to 180° and solve for x.
11x + 8 + 12x + 11 = 180
23x + 19 = 180
23x = 161
x = 7
y = 2×2square+ 4× - 2 value
Answer:
y=2(2x+3)
Step-by-step explanation:
y=2*2^2+4x-2
y=8+4x-2
y=4x+6
y=2(2x+3)
What is 3a2 + a2 added to a + 6?
The addition of 3a^2 + a^2 to a + 6 gives 3a^2 + a^2 + a +6.
What is addition?The addition is one of the mathematical operations. The addition of two numbers results in the total amount of the combined value.
Usually, simplification involves proceeding with the pending operations in the expression.
Simplification usually involves making the expression simple and easy to use later.
We have to find when 3a^2 + a^2 added to a + 6.
3a^2 + a^2 + a +6
This cannot be added further because they do not have any like terms.
Since those terms are not like terms, their coefficient won't be add and the expression we've got right now, is its simplest form and cannot be reduced more.
Those terms which have same variables raised with same power are like terms.
For example, 5t^3 and 6t^3 are like terms since variable is same, and it is raised to same power 3.
Thus, the addition of 3a^2 + a^2 to a + 6 gives 3a^2 + a^2+ a +6
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[tex]4a^2 + a + 6[/tex] is the final expression represents the sum of the given terms.
To add the expressions 3a2 + a2 to a + 6, follow these steps:
Identify and group the like terms:3a2 + a2 for the squared termsa for the linear term6 for the constant termCombine the like terms:3a2 + a2 = 4a2Write down the final expression after addition:4a2 + a + 6Thus, the result of adding the given expressions is[tex]4a^2 + a + 6.[/tex]
Which is true about the domains and ranges of the functions f(x) = 1/8 (x) and g(x) = 8(x) ?
Answer:
both have a domain and range of all real numbers
Step-by-step explanation:
2/7 converted to percentage
Look at the attached picture⤴
Hope it will help u...:)
Answer:
Step-by-step explanation:
[tex]\frac{2}{7}*100=\frac{200}{7}\\\\=28.5714\\[/tex]
= 28.57% or
≈ 29%
Which equation is used to find the experimental probability of an event?
The weight, in grams, of eight different kiwis was used to create the box plot shown above. Which of the sets of numbers below matches the given box plot?
A.
Weights of Kiwis: 68, 73, 75, 75, 76, 76, 78, 80
B.
Weights of Kiwis: 68, 70, 75, 75, 75, 76, 77, 80
C.
Weights of Kiwis: 68, 72, 75, 75, 76, 76, 77, 80
D.
Weights of Kiwis: 68, 70, 72, 75, 75, 76, 78, 80
Answer:
Step-by-step explanation:
The answer is d because 75 is the medain of the kiwi fruit
Given: mlln
What is the value of x?
Answer:
x = 8°
Step-by-step explanation:
m II n
Alternate interior angles are equal.
6x - 2 = 46
6x = 46 +2
6x = 48
x = 48/6
x = 8
Answer:
8
Step-by-step explanation:
When you have a line intersecting parallel lines, the opposite interior angles are always the same.
46 + 2 = 48
48 / 6 = 8
Work out the surface area of a
cuboid 3cm by 3cm by 4cm?
Answer: 14 cm
Step-by-step explanation:
Answer:
It was 36 cm3
Step-by-step explanation:
3cm x 3 cm x 4 cm
=36 cm3
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IF THEY ARE CORRECT ANSWERS I WILL MARK BRAINLIEST
2.094 2.702 which is greater than
2.75 2.6 which is greater than
8.235 8.1 which is greater than
21.337 21.31 which is greater than
Answer:
1- is 2.702
2- is 2.75
3- 8.235
4- 21.337
Step-by-step explanation:
The question involves comparing decimal numbers. The larger numbers for the pairs given are 2.702, 2.75, 8.235 and 21.337 respectively. The rule for comparing decimals is to start from the left and compare digits in the same position.
Explanation:The question asks to identify which of the two numbers for each pair is larger. It's clear this involves a basic understanding of comparing decimals, which is a key skill in mathematics.
Between 2.094 and 2.702, 2.702 is greater.Between 2.75 and 2.6, 2.75 is greater.Between 8.235 and 8.1, 8.235 is greater.Between 21.337 and 21.31, 21.337 is greater.
The rule for comparing decimals is to start from the left and compare digits in the same position. This way, you can identify which number is larger or smaller.
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