Answer:
-6
Step-by-step explanation:
-84=6(p-8)
-84=6p-48
+48 +48
-36=6p
-36/6=6p/6
-6
Hope this helps
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A rectangular prism has a length of 3 1/2 inches, a width of 5 inches, and a height of 1 1/2 inches. What is the volume of the prism? Answer ASAP
For this case, we have that by definition, the volume of a rectangular prism is given by:
[tex]V = A_ {b} * h[/tex]
Where:
[tex]A_ {b} = l * w,[/tex] It is the area of the base
h: It is the height of the prism
So:
[tex]l = 3 \frac {1} {2} = \frac {6 + 1} {2} = \frac {7} {2} in\\w = 5 \ in\\h = 1 \frac {1} {2} = \frac {2 + 1} {2} = \frac {3} {2} in[/tex]
So, we have:
[tex]A_ {b} = \frac {7} {2} * 5\\A_ {b} = \frac {35} {2}\\A_ {b} = 17.5 \ in ^ 2[/tex]
Thus, the volume will be:
[tex]V = 17.5 * \frac {3} {2}\\V = 26.25 \ in ^ 3[/tex]
Answer:
[tex]V = 26.25 \ in ^ 3[/tex]
A two-sided coin (heads/tails) is flipped once, and one card is drawn from a standard 52 deck of playing cards. Calculate the probability of each given situation.
Drawing a King AND drawing a Heart -
Flipping a Heads OR flipping a Tails -
Flipping a Tails AND drawing a King -
Flipping a Tails OR drawing a King -
Drawing a King OR drawing a Heart -
Item bank
1
1/26
1/52
4/13
7/13
Answer:
Drawing a King AND drawing a Heart - 1/52 Flipping a Heads OR flipping a Tails - 1 Flipping a Tails AND drawing a King - 1/26 Flipping a Tails OR drawing a King - 15/26 Drawing a King OR drawing a Heart - 17/52Step-by-step explanation:
To solve these we need to understand AND/OR rule of probability.
Simply put "AND" means "multiplication" and "OR" means "addition".
1.Drawing a King AND drawing a Heart:
Pleas note that there are 4 suits in a deck of cards and each suit has 1 king. So in a 52-card standard deck, there is 4 king. Also, there are 13 cards of each suite, so there are 13 hearts out of total 52. Also note that there is "AND" in between (so multiplication).
P(King)*P(heart) = 4/52 * 13/52 = 1/52
2. Flipping a Heads OR flipping a Tails:
Note that there can only be head or tail, so probability of either head of tail is 1/2. Note, there is "OR" in between (so addition).
P(head) + P(tail) = 1/2 + 1/2 = 1
3. Flipping a Tails AND drawing a King:
We already saw the probability of flipping tail is 1/2. Also, we say that there are 4 kings in a standard deck, so probability of drawing a king is 4/52. Note there is "AND" in between (so multiplication). Thus:
P(tails) * P(King) = 1/2 * 4/52 = 1/26
4. Flipping a Tails OR drawing a King
As #3, flipping a tail's probability is 1/2. And, drawing a King's probability is 4/52. BUT here, it is "OR" in between , hence we need to "ADD". Thus:
P (tail) + P(King) = 1/2 + 4/52 = 15/26
5. Drawing a King OR drawing a Heart
As we know, there are 4 suits each with 1 king, so there are total of 4 kings in a standard 52-deck card. Also, there are 13 cards of each suite (hearts, spades, diamonds, clubs). So there are 13 hearts. Hence, probability of King is 4/52 and probability of heart is 13/52. Note that there is "OR" in between, so that means "addition". Thus:
P(king) + P(heart) = 4/52 + 13/52 = 17/52
The various probabilities calculated are: 1) 1/52, 2) 1, 3) 1/26, 4) 7/13, 5) 4/13.
Drawing a King AND drawing a Heart:Therefore, the various probabilities calculated are: 1) 1/52, 2) 1, 3) 1/26, 4) 7/13, 5) 4/13.
Translate the algebraic expression 7(8j+4+9j) to a verbal expression.
Seven times the value of eight j plus four plus nine j
I need help I do not understand.
9+ -6 -6
What do you want to know?
The graph of the function f(x) = (x + 6)(x + 2) is shown. Which statements describe the graph? Check all that apply.
The image represent the graph of the function.
//Hope it helps.
Answer:
The axis of symmetry is x = –4.
The domain is all real numbers.
The function is negative over (–6, –2).
or BCE
Step-by-step explanation:
The graph of the function f(x) = (x + 6)(x + 2) is shown. Which statements describe the graph? Check all that apply.
The axis of symmetry is x = –4.
The domain is all real numbers.
The function is negative over (–6, –2).
or BCE
please help !!!!!!!!!!!!
I can’t read the small sticky notes take a closer picture
A triangular pyramid has a height of 27 yards and a base with an area of 210 square yards.
What is the volume of the pyramid?
Answer:
1890 yd³
Step-by-step explanation:
V = ½Ah
= ½ × 210 × 27
= 1890 yd³
The volume of the pyramid is 1890 yd³.
Which product is negative?
Answer: The Last One
Step-by-step explanation: The Last One Would Be A Product Of Negative
For this case we have that by definition, the law of the signs of multiplication states that:
[tex]+ * + = +\\+ * - = -\\- * + = -\\- * - = +[/tex]
So:
Option A:
[tex]- * - * + = + * + = +[/tex]
It does not give a negative sign.
Option B:
[tex]+ * - * - = - * - = +[/tex]
It does not give a negative sign.
Option C:
[tex]+ * + * + = + * + = +[/tex]
It does not give a negative sign.
Option D:
[tex]- * - * - = + * - = -[/tex]
The sign is negative.
Answer:
Option D
How to solver this problem
Answer:
9000
Step-by-step explanation:
multiply all of it....if i am wrong then i truly apologize
What is the value of
Answer:
0
Step-by-step explanation:
For this case we have that by definition of properties of powers, it is fulfilled that:
[tex]a ^ {- 1} = \frac {1} {a ^ 1} = \frac {1} {a}[/tex]
On the other hand, we have that any number elevates it to the power 0, results in "1"
We have the expression:
[tex](-14^0)^{-2}[/tex]
What can we rewrite as:
[tex]\frac {1} {(- 14 ^ 0) ^ 2} = \frac {1} {(14 ^ 0) (14 ^ 0)} = \frac {1} {1 * 1} = \frac {1} {1} = 1[/tex]
Answer:
Option D
A club rent a bus for a trip the cost c in dollars that each person pays to cover the cost of the bus varies inversely with the number of people p who go on the trip it will cost $30 per person if 50 people go on the trip how much will it cost per person and 40 people go on the trip.
Answer:
[tex]c=\$37.5[/tex]
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form [tex]y*x=k[/tex] or [tex]y=k/x[/tex]
In this problem we have
[tex]c*p=k[/tex]
step 1
Find the value of the constant k
For [tex]c=30, p=50[/tex]
substitute
[tex]k=30*50=1,500[/tex]
the equation is
[tex]c*p=1,500[/tex]
step 2
Find the value of c for [tex]p=40[/tex]
substitute in the equation and solve for c
[tex]c*(40)=1,500[/tex]
[tex]c=\$37.5[/tex]
Which expression represents the volume of the prism?
Answer: V = B · h
Step-by-step explanation:
Volume (V) = Area of the base (B) × height (h)
The Area of the base (B) depends on the shape of the base. For example:
Triangular prism = Area of a Triangle × heightRectangular prism = Area of a rectangle × heightPentagonal prism = Area of a pentagon × heightThe expression for volume of prism is A*H where A is area of base and H is height of the prism.
What is volume?
Each thing in three dimensions takes up some space. The volume of this area is what is being measured. The space occupied within an object's borders in three dimensions is referred to as its volume.
What is the volume of prism?A prism is a solid geometric figure whose two end faces are similar, equal, and parallel rectilinear figures, and whose sides are parallelograms.
Basically a prism has a base with a height.
The volume V of prism will be the product of the area of base A and the height of the prism H.
V=A*H
Therefore, the expression for volume of prism is A*H where A is area of base and H is height of the prism.
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Jaclyn gets a hit 40% of the time while playing softball. She is going to use colored tiles to simulate her chances of getting a hit. Green tiles will represent hits, while red tiles will represent times Jaclyn does not get a hit. She will place the tiles in a bag, and then draw the tiles from the bag one at a time. Jaclyn places 12 green tiles in a bag. How many red tiles should she place in the bag?
Answer:
18 red tiles
Step-by-step explanation:
One way to look at this problem would be to take the number of tiles that Jaclyn used to get a possibility of 40% hits.
Jaclyn put 12 green tiles, this represents the 40% of the hits that she could get.
Now we know that 12 = 40%
We need to find how many red tiles she should put to still keep the 12 green tiles as 40%. We can also assume that 12 red tiles would be another 40%.
So we have 12 red tiles currently.
Now we still have another 20% left.
Since 12 red tiles = 40%, we can assume that:
6 red tiles = 20% of the total.
So if we add both the 40% red tiles to the 20% red tiles we get:
12 + 6 = 18 red tiles.
So Jaclyn will have to put 18 red tiles and 12 green tiles to simulate her chances of getting a hit.
can someone pls help ASAP
Answer:
3) x= 5, -2
4)x= -3, -5
a beach ball has a diameter of 2 feet. which of the following is closest to the volume of the beach ball. a.4.2ft b. 12.6ft c. 16.8ft d. 33.5ft
Answer: A
Step-by-step explanation: v= 4/3 pi r^3
Take diameter to radius by dividing it by 1/2
The volume of the beach ball with a diameter of 2 feet is approximately 4.2 cubic feet, calculated using the volume formula for a sphere, resulting in choice (a) being the closest match.
Explanation:To find the volume of the beach ball, we must use the formula for the volume of a sphere, which is V = ⅔×π×r³, where r is the radius of the sphere. Since the diameter of the beach ball is 2 feet, its radius is half of that, which is 1 foot. Plugging the values into the formula:
V = ⅔×π×(1 ft)³
Let's calculate:
V = ⅔×π×(1)³
V = 4.18879 cubic feet (approximately)
So, the volume of the beach ball is approximately 4.2 cubic feet, which corresponds to choice (a).
Which of the following statement below is false?
Given these evaluations, the most likely false statement is the second one, as the price of gasoline can vary greatly and is not necessarily more expensive by the liter than by the gallon in all cases. However, without specific context or pricing information, it's hard to definitively say this statement is false globally. It would be the most contextually dependent and variable of the statements provided.
The image contains a multiple-choice question asking which of the following statements is false:
1. Volume and capacity measurements of the same amount would be equivalent in number but not in measurement unit.
2. Gasoline is more expensive if you purchase it by the liter than by the gallon.
3. If you multiplied the diameter of the Earth by pi (3.14), you would get the approximate measurement of the equator.
4. Historically, a meter is 1/10,000,000th of an imaginary arc that runs from the North Pole through Paris to the Equator.
To answer this question, let's evaluate each statement for its truthfulness:
1. Volume and Capacity: This statement is true. Volume and capacity refer to the amount of space that is filled or could be filled with a substance. They are equivalent in number but expressed in different units. For example, 1 liter of water has the same volume as 1,000 milliliters of water.
2. Gasoline Pricing: This statement can be true or false depending on the pricing in a particular country, but it is generally true that gasoline prices per liter are higher than per gallon due to the conversion factor between liters and gallons. However, this is a variable factor and can differ in reality based on regional pricing policies.
3. Earth's Diameter and Equator: This statement is true. The circumference of the Earth at the equator is approximately equal to the diameter of the Earth multiplied by pi (π).
4. Historical Meter Definition: This statement is true. Historically, the meter was defined as one ten-millionth of the distance from the equator to the North Pole along a meridian through Paris.
Which of the following functions is a direct variation?
Since k is constant (the same for every point), we can find k when given any point by dividing the y-coordinate by the x-coordinate. For example, if y varies directly as x, and y = 6 when x = 2, the constant of variation is k = = 3. Thus, the equation describing this direct variation is y = 3x.
Can you plz help me i need the anwser will give brainliest
Answer:
well you got the answer correct
Step-by-step explanation:
find the area
first 14+7+5+5
next add the total by 36
finally you'll get the answer
Answer:
36 + total =
which of the following transformation would not preserve congruence between the image and pre-image?
Answer:
Dilation
Step-by-step explanation:
dilation either inflates or deflates the shape therefor being a non-rigid transformation because it does not keep its same size
Answer:
sample,
No, it is not possible to get the same image as a 90-degree clockwise rotation using only translations and/or reflections. In the rotation, the x- and y-coordinates are switched. There is no way to reverse the order of the coordinates using only reflections or translations.
edginuity 2021
How many triangles exist with the given angle measures?
30, 65, 85
A. No triangle exists
B. More than one unique triangle exists
Because triangles also equal a total of 180 degrees, the answer is B
The triangles exist with the given angle measures should be option b.
The following information should be considered;
Since the angle measures are 30,65 and 85Also the total of triangle is 180.Therefore there should be more than 1 unique triangle that is existed.learn more: https://brainly.com/question/4626564?referrer=searchResults
The parent function f(x) = x3 is translated to form g(x), as shown on the graph. The translated function can be written in the form
g(x) = (x – h)3 + k.
Answer:
First option
h = 4 and k = - 2
Step-by-step explanation:
f(x) = x^3 translated to g(x) = (x – h)^3 + k.
f(x) transformed to g(x) with 4 units to the right and 2 units down
g(x) = (x - 4)^3 - 2
h = 4 and k = - 2
The translated function is g(x) = (x - 4)³ - 2, the correct option is the first one.
Which equation represents the translated function?For a general function f(x), we can define:
Vertical translation of N units as:
g(x) = f(x) + N
if N < 0, the translation is downwards.
if N > 0, the translation is upwards.
Horizontal translation of N units as:
g(x) = f(x + N)
if N > 0, the translation is to the left.
if N < 0, the translation is to the right.
Here we can see that we have a translation of 4 units to the right and 2 units down, then the translated function is:
g(x) = (x - 4)³ - 2
The correct option is the first one.
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Consider the equation y= kx where y= 7.5 and x=3. Which value represents k?
Answer Choices:
A) k= 22.5
B) k= 4.5
C) k= 0.4
D) k= 2.5
[tex]y = kx\\ \frac{y}{x} = k \\ \frac{7.5}{3} = 2.5[/tex]
the answer is D) k=2.5
the answer is D) k=2.5
five less than the product of 9 and a number equals 3
use the varaible x for unknown number.
answer is: 9x - 5 = 3
Which represents an exterior angle of triangle ABF?
∠BAD
∠AFE
∠CAD
∠CAB
Answer:
The correct answer is CAB
Step-by-step explanation:
Exterior angles include two corner points and one point not on the triangle. Thus CAD would be an exterior angle.
The angle that represents an exterior angle of [tex]\triangle ABF[/tex] is: d. ∠CAB
An exterior angle of a triangle is an angle outside the triangle that is adjacent to an interior angle of a triangle, and also shares same side together.An illustration of an exterior angle of a typical triangle has been shown in the diagram attached below.
The angle that is marked green is an exterior angle.
Analyzing the diagram given for this question, the only exterior angle of triangle ABF from the list of answer choices given is <CAB.
Therefore, the angle that represents an exterior angle of [tex]\triangle ABF[/tex] is: d. ∠CAB
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Solve the equation.
37 – 18 + 8w = 67
Answer:
6
Step-by-step explanation:
37 – 18 + 8w = 67
(37-18)+8W=67
19+8W=67
8W=67-19
=48
W=48/8
=6
Answer:
6
Step-by-step explanation:
[tex]37-18+8w=67\\19+8w=67\\19-19+8w= 67-19\\8w=48\\8w/8=48/8\\w= 6[/tex]
Someone knows the answer for this ?
Answer:
Option B.
Step-by-step explanation:
Each summation symbol tells you to add terms. The terms are obtained by replacing n in the expression with the integers 1, 2, 3, 4, 5, and 6.
Let's look at option A:
The expression is 2(2)^n.
Replacing n with 1, 2, ..., 6 gives us these terms, which are added:
2(2)^1, 2(2)^2, 2(2)^3, 2(2)^4, 2(2)^5, 2(2)^6
The terms above simplify to:
4, 8, 16, 32, 64, 128
Clearly these are not the terms in the series you are given, so option A is not the answer.
Let's now look at option B:
Replacing n in 2n with 1, 2, 3, ..., 6 gives us:
2(1), 2(2), 2(3), 2(4), 2(5), 2(6) which simplifies to 2, 4, 6, 8, 10, 12.
Since it's a summation, you add the terms above to get
2 + 4 + 6 + 8 + 10 + 12
Option B is the answer.
What is the total amount paid for a bill of $83.97 with a gratuity of 20%? (Round to the nearest cent.)
Answer:
Tip Amount: $ 17
Tip Each Person: $ 17
Bill Each Person: $ 84
Total (Bill + Tip): $ 101
Total Each Person: $ 101
Step-by-step explanation:
A scale factor of _____ was applied to the first triangle.
1:4 is the scale factor of the triangle
In a field, Raja, Mary, and Miguel are standing in the shape of a triangle. Raja is 128 feet from Mary and Mary is 143 feet from Miguel. Which of the following is a possible distance between Raja and Miguel?
I think the possible distance between them is 153 feet because 128 feet is the smallest so it would be the bottom, 143 feet and 153 feet would be the sides because they are the closest in size.
Answer:
The possible distance between them is 153 feet because 128 feet is the smallest so it would be the bottom, 143 feet and 153 feet would be the sides because they are the closest in size.
Step-by-step explanation:
The person who answered this is correct, also, please mark me brainliest, i took the test and got 100% hope this helps:)
x = 2.5 5y + 2x = -10
Answer:
y = -3, x = 2.5
Step-by-step explanation:
5y + 2x = -10 if x = 2.5
5y + 2(2.5) = -10
5y + 5 = -10
5y = -15
y=-3