3(x-4)(2x+5)
= 3×(x-4)×(2x+5)
= (3x-12)(2x+5)
= 6x²+15x-24x-60
= 6x²-9x-60
[tex]3( {2x }^{2} + 5x - 8x - 20) \\ 3( {2x}^{2} - 3x - 20) \\ {6x}^{2} - 9x - 60 \\(6x + \frac{5}{2} )(x - 4)[/tex]
Calculate the volume of the cone with the hemisphere scooped out of the base. Note: 20 cm is the slant height
Answer:
3418.02 cm²
Step-by-step explanation:
Volume :
Volume (cone) - Volume (hemisphere)
1/3πr²h - 2/3πr³
1/3 x π × 64 x (√20² - 8²) - 2/3 x π x (4)³
64π/3 (√336 - 2 x 2/3)
64π (18.33 - 1.33)
64π × 17
201.06 x 17
3418.02 cm²
Solve 11x 2y 2 + a = b for a
Answer:
a=b-44y
Step-by-step explanation:
a=b-44y
ASAP Pls! 6. Which of the following statements about the picture are true? Select two.
(^Image Attached Below^)
Choices:
[] Point A is on the bisector of ∠TXR.
[] Point A is on the perpendicular bisector of Line XT.
[] Point A is on the perpendicular bisector of Line XR.
[] Point A is not on a bisector.
[] Point A is equidistant from points T and R.
I am choosing A and E for my choices, but could someone confirm? Tysm! Need this asap!
Answer:
Yes, your choices are correct ...First and last points are true:)
Given that the statements
△
A
B
C
∼
△
D
E
F
and
△
D
E
F
∼
△
J
K
L
are true, which statement is a valid conclusion?
Answer:
it is triangle DEF, base on my own understanding
Tom is making a rolling pin like the one shown out of maple hardwood.
The handles are 4-inch long cylinders with a diameter of 1 inch. The main body of the rolling pin has a diameter of 3 inches and is 14 inches
long. What is the total amount of wood needed to build the rolling pin? Round to the nearest tenth.
in³
Answer:
Step-by-step explanation:
can you give me the answer please? I have the same question
Please help me with this problem
Answer:
Answer is 41 ft
Step-by-step explanation:
From the right angled triangle above, two sides are known. That is the adjacent and opposite. The hypotenuse is not known so we represent it with a variable say h
Using Pythagora's theorem we have,
[tex] {h}^{2} = {12}^{2} + {12}^{2} \\ {h}^{2} = 144 + 144 \\ {h}^{2} = 288 \\ h = \sqrt{288} \\ h = 12 \sqrt{2} [/tex]
Having found the value of the third side, the perimeter of the triangle can now be determined by summing up the length of all the sides.
[tex]perimeter = adjacent + opposite + hypotenuse \\ p = 12 + 12 + 12 \sqrt{2} \\ p = 24 + 12 \sqrt{2} \\ p = 40.97 \\ to \: the \: nearest \: whole \: number \\ p = 41 \: ft[/tex]
Therefore the perimeter of the triangle is 41 ft.
Two cards are drawn from a deck of 52 playing cards. The first card is NOT replaced into the deck before the 2nd card is drawn. What is the probability of first drawing an Ace, then a Two?
Answer:
4/663.
Step-by-step explanation:
There are 4 aces and 4 2's in a pack of cards.
Prob(First drawing an Ace) = 4/52 = 1/13.
After drawing this card there are now 51 cards left, so:
Prob(Next drawing a 2) = 4/51.
Required probability
= 1/13 * 4/51
= 4/663
Answer:
First, we need to keep in mind that there are 52 cards in a deck.
Second, we need the probability of getting an ace.
[tex]\frac{4}{52\\}[/tex] = [tex]\frac{1}{13}[/tex]
Now that that card is taken out of the deck, we need to subtract that card from the total amount of cards. Now there will be 51 cards.
Next, we need to find the probability of getting a 2. Like the Ace, there 4 of them.
So,
[tex]\frac{4}{51}[/tex]
Now, we multiply both of the probabilities.
[tex]\frac{1}{13} * \frac{4}{51} = \frac{4}{663}[/tex]
Since we cannot Reduce, There is your answer!
[tex]\frac{4}{663}[/tex]
∫Maybe·Kuro∫
On a coordinate plane, a parabola opens down. It goes through (negative 3, negative 4), has a vertex at (negative 1, 0), and goes through (1, negative 4).
The graph of the function f(x) = –(x + 1)2 is shown. Use the drop-down menus to describe the key aspects of the function.
The vertex is the
.
The function is positive
.
The function is decreasing
.
The domain of the function is
.
The range of the function is
.
The key aspects of the function are
The vertex is the (-1, 0)The function is decreasing from x = -1 to infinityThe domain of the function is all sets of real numberThe range of the function is the set of all real numbers less than or equal to 0How to determine the key features?The function is given as:
f(x) = -(x + 1)^2
From the question, we have:
Vertex = (-1, 0)
Because the function has a negative leading term i.e. the negative sign at the beginning of -(x + 1)^2.
It means that the function is always negative.
Also, the domain of the function is all sets of real number, because it is an exponential function.
The y value of the vertex is 0 and the function is always negative. So, the range is all set of all real numbers less than or equal to 0
The x value of the vertex is -1 and the function is always negative. So, the function is decreasing from x = -1 to infinity
Read more about quadratic functions at:
https://brainly.com/question/1497716
#SPJ1
Answer:
The vertex is the maximum value
The function is positive for no values of x
The function is decreasing when x > –1
The domain of the function is all real numbers
The range of the function is all numbers less than or equal to 0
Hope this helped!
PLEASE HELP ASAP TYSM
Answer:
306=192-361xj.
Hope this helps!
the function f(x)= -x3 - 7x2 - 7x + 15 has zeros located at -5, -3, 1. verify the zeros of f(x) and explain how you verified them. describe the end behavior of the
function
The polynomial f(x)= -x³ - 7x² - 7x + 15 has zeros located at -5, -3, 1 because f(-5) = f(-3) = f(1) = 0
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The function f(x)= -x³ - 7x² - 7x + 15 has zeros located at -5, -3, 1, hence:
f(-5) = -(-5)³ - 7(-5)² - 7(-5) + 15 = 0
f(-3) = -(-3)³ - 7(-3)² - 7(-3) + 15 = 0
f(1) = -(1)³ - 7(1)² - 7(1) + 15 = 0
The polynomial f(x)= -x³ - 7x² - 7x + 15 has zeros located at -5, -3, 1 because f(-5) = f(-3) = f(1) = 0
Find out more on equation at: https://brainly.com/question/2972832
#SPJ1
Q. What is the equation of this line?
A: x=5
B: y=5x
C: x=-5
D: y=5
Answer:
A) x=5
The sideways line is always x, and the line going up is y, so since the line is only touching the x-intercept you just count where the line is, so x=5
Step-by-step explanation:
Which 3 lengths would in fact make a right triangle?
4, 3 , 7
How Can It Be Said That 3 Lengths Would Make A Right Triangle?
To see if your three sides will form a triangle, add the two short sides and compare with the long side. If the two short sides are longer than the long side you have a triangle.
What is a Right Triangle?A right triangle is a triangle with one 90-degree angle.
Can someone please help me with my math
Answer:
She has enough to make 4 batches of peanut butter and 6 batches of chocolate chip.
Step-by-step explanation:
26/2 = 13. There's enough flour to make the recipe 13 times over, however,
she only has the amount of butter to make a dozen of the first recipe. 9 divided by (3/4) = 12.
26/3 = 8.6, or 8 and 3/4ths of a batch with the flour. She has enough butter to make 9, but not enough flour, so she could make 8 batches of chocolate chip cookies.
She can make 12 batches of peanut butter cookies alone. Or she could make 8 batches of chocolate chip cookies alone. This means: It can't be C because she doesn't even have enough ingredients to make 22 batches of chocolate chip. It also can't be D because there's not enough ingredients for 28 batches of peanut butter or 12 chocolate chip.
to make 4 batches of PB:
[tex](4)\frac{3}{4}=3[/tex] cups of butter needed, and 4(2) = 8 cups flour needed.
so now she'd have 6 cups butter and 18 cups flour leftover.
This means, to make 6 batches CC:
3(6) = 18 cups flour, and 1(6) = 6 cups butter needed. She has enough to make 4 batches of peanut butter and 6 batches of chocolate chip.
Marge orders the following items and would like to leave a 20 percent tip based on her bill. There is no tax on her meal. What is the total cost of her dinner including gratuity?
Item
Amount
Soup
$3.75
Shrimp scampi
$15.00
Iced tea
$2.60
Dessert
$4.25
$26.22
$30.72
$32.00
$35.82
Answer:
It's 30.72
Step-by-step explanation:
Take your total and times it by the percentage (20 in this case) and then divide by 100.
total: 25.60$
tip: 20% of total
25.60 * 20 = 512
512/100 = 5.12
25.60 + 5.12 = 30.72
A circle has a radius of \blue{5}5start color #6495ed, 5, end color #6495ed. An arc in this circle has a central angle of 162^\circ162
∘
162, degrees.
What is the length of the arc?
Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi and enter your answer as a decimal.
answer is 14.14
Answer: 9/2π
20 / 9 = 10π s
20 /9 *10π= s
2 /9 π = s
Can someone explain scientific notation to me? And also another question. Is 9.725 x 10^6 a scientific notation? What about 9.7250 x 10^6
Both of those values are in scientific notation
Scientific notation is when we have numbers of the form [tex]a \times 10^b[/tex] where [tex]0 \le a < 10[/tex] and b is an integer.
Both 9.725 and 9.7250 are inside the inequality mentioned above.
Scientific notation is used to help describe very large numbers, or very small numbers, depending on context.
---------------
If you wanted to convert from scientific notation to standard notation, then you'll move the decimal point based on what the exponent is. The positive 6 means we move the decimal point 6 places to the right.
We go from 9.725 to 9,725,000 which is about 9.7 million
In other words, [tex]9.725 \times 10^6 = 9,725,000[/tex]
As another example, [tex]1.23 \times 10^{11} = 123,000,000,000 = \text{123 billion}[/tex] since we start at 1.23 and move the decimal point 11 spots to the right to arrive at 123,000,000 aka 123 billion.
Samuel helps his brother paint wails during his summer vacation. He charges $10 for the first room and $5 for each additional room (x) he paints. Which equation could Samuel use the find out many additional rooms he would have to paint to make $50 at one house?
solve for x in this proportion.
3/63=16/x
Answer:
3=6
63=x
x×3 =63×3
x×3= 189
3 3
x=63.
HOPE IT HELPS,BRAINLIEST PLEASEWhat is the value of the expression below written in scientific notation? and explain
Answer:
10 x 10^7
Step-by-step explanation:
When multiplying two expressions of scientific notation together, you multiply the values together, and then add the exponents. In this case, it would be:
2.5 x 4 = 10
4 + 3 = 7
10 x 10^7
What is m∠Q? Round only your final answer to the nearest tenth. 24.1º 30.8º 59.2º 125.1º
The measure of the angle m∠Q is 30.8 degree after applying the law of cosine.
What is the triangle?The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.
Let's suppose the angle m∠Q is A
So applying law of cosine:
[tex]\rm 40^2 = 64^2+32^2-2(64)(32) \ cosA[/tex]
CosA = 0.859
A = 30.75 ≈ 30.8 degree
Thus, the measure of the angle m∠Q is 30.8 degree after applying the law of cosine.
Learn more about the triangle here:
brainly.com/question/25813512
#SPJ1
Write 6.14 x 10^-5 in Standard Form
Please help :)
Answer:
0.0000614
Step-by-step explanation:
Since it’s a -5 it’s 5 places back
Hope this helps! ;-)
1) Describe the steps in creating a box plot. What do you have to find to complete a box plot graph? (at least 5 steps)
Answer:
I'm Pretty sure
Step-by-step explanation:
Step 1: Calculate the quartile values. First you need to calculate the minimum, maximum and median values, as well as the first and third quartiles, from the data set. ...
Step 2: Calculate quartile differences. ...
Step 3: Create a stacked column chart. ...
Step 4: Convert the stacked column chart to the box plot style.
16 > i - 4
Please help me solve this!! ( one-step inequalities )
Work Shown:
16 > i - 4
16+4 > i-4+4
20 > i
i < 20
In the second step, I added 4 to both sides to undo the -4
In the last step, I swapped both sides and I flipped the inequality sign.
If you want to graph this on a number line, then plot an open hole at 20. Then shade to the left to represent all the values smaller than 20.
Answer:
16>i-4
20>i
Step-by-step explanation:
All you have to do is reverse operation and add 4 to each side
please help me with this!
Answer:
1/2 - 1/8= 4/8 - 1/8= 3/8
Step-by-step explanation:
hope this helps
BRAINLIEST For the fastest answer
Hello I need help on this math question
Answer:
B
Step-by-step explanation:
B: $303.75
I hope this helps you and I hope you do well.
9. Use the compound-interest formula to find the account balance A, where P is principal, r is interest rate, n is number of compounding periods per year, t is time, in years, and A is account balance.
Answer:
$18019.37
Step-by-step explanation:
[tex]A = 12,385(1 + \frac{0.075}{365})^{365(5)}\\[/tex]
≈ $18019.37
Which choice could represent the surface area of a pyramid? 75.6 feet superscript 4 75.6 feet cubed 75.6 feet squared 75.6 feet
The choice that could represent the surface area of a pyramid is 75.6 feet squared
Surface area of a pyramid.The surface area of an object is the total sum of the area of its net. The surface area of any object is expressed in square units.
For instance, a pyramid with 4 triangles and a base area with al the units in feet can be expressed as:
TSA = area of 4 triangles + area of the base
Hence the choice that could represent the surface area of a pyramid is 75.6 feet squared
Learn more on surface area here: https://brainly.com/question/16519513
#SPJ4
Answer:
C/3
Step-by-step explanation:
A random sample of students at North High School were polled on whether they prefer a 15-minute break between classes in the morning or in the afternoon. The results are shown in the frequency table.
A 4-column table with 4 rows. The first column has no label with entries 10th, 11th, 12th, total. The second column is labeled morning with entries 21, 16, 19, 56. The third column is labeled afternoon with entries 17, 25, 20, 62. The fourth column is labeled total with entries 38, 41, 39, 118.
What is the joint relative frequency for 11th graders who want the break in the afternoon? Round to the nearest percent.
21%
25%
40%
61%
Answer:
21
Step-by-step explanation:
Answer: A. 21%
No equation
Evaluate
6x+4y-z. X:4,y:-2,z:3
Step-by-step explanation:
x = 4
y = -2
z = 3
= 6x + 4y - z
= 6.4 + 4.-2 - 3
= 24 - 8 - 3
= 13
Mark brainlist to whoever answers first
Answer:
The reflection over the y-axis means that we just multiply the x-value of the coordinates by -1. So we take (4, 0) and get the x-value of 4 and multiply it by -1 which gives us (-4, 0) which is option C.