Answer:
50+60=110
Step-by-step explanation:
multiply 10 by 5 and 12 by 5 to get 50 and 60 add them together to get 110.
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.
can someone pls help ASAP
Answer:
3) x= 5, -2
4)x= -3, -5
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.
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.
Learn more about translations at:
https://brainly.com/question/1046778
#SPJ3
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.
In the figure which pair of segments appear to be parallel
FG and JH are two parallel line segments
Answer:
FG and JH
Step-by-step explanation:
Obviously, FJ and GH are not parallel. So the only remaining pair of lines are fg and jh.
therefore, FG and JH appear to be parallel.
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.
Learn more: brainly.com/question/2468794
#SPJ2
What is the truth value for the following conditional statement?
p: true
q: true
∼p → q
F T → T
T T → F
F T → F
T F → T
Answer:
FT→T
Step-by-step explanation:
If p is true, then ~p is false.
Now note that
If a and b are both true, then a→b is true.If a is true, b is false, then a→b is false.If a is false, b is true, then a→b is true.If a and b are both false, then a→b is true.In your case, both~p is false and q is true, then ~p→q is true too (or FT→T)
Answer:
[tex] F -T\rightarrow T[/tex].
Step-by-step explanation:
We are given that
p: true
q: true
The condition statement [tex]\neg p\rightarrow q [/tex]
If p is true then[tex]\neg p [/tex] is false.
If p is false then [tex]\neg p[/tex] is true.
If[tex]\ neg p [/tex] is false and q is true then the value of [tex]\neg p \rightarrow q[/tex] is true.
If [tex]\neg p [/tex] is true and q is true then [tex]\neg p \rightarrow q[/tex] is true.
If[tex]\ neg p[/tex] is true and q is false then the value of [tex]\neg p \rightarrow q[/tex] is false.
If [tex]\neg p[/tex] is false and q is false then the value of [tex]\neg p \rightarrow q [/tex] is true.
[tex]F-T\rightarrow T[/tex]
[tex]T-F\rightarrow F[/tex]
[tex]F -F\rightarrow T[/tex]
[tex]T-F \rightarrow F[/tex].
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
Solve and graph the inequality
Answer:
The graph in the attached figure
Step-by-step explanation:
we have
[tex]\left|x\right|<18[/tex]
we know that
The absolute value function has two solutions
case positive
[tex]+(x)<18[/tex]
The solution is the interval------> (-∞,18)
All real numbers less than 18
In a number line is the shaded area to the left at point x=18 (open circle)
case negative
[tex]-(x)<18[/tex]
Multiply by -1 both sides
[tex](x)>-18[/tex]
The solution is the interval------> (-18,∞)
All real numbers greater than -18
In a number line is the shaded area to the right at point x=-18 (open circle)
therefore
The solution of the inequality
[tex]\left|x\right|<18[/tex]
All real numbers greater than -18 and less than 18
see the attached figure to better understand the problem
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
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
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.
Help Please!!!!!!!!
Answer:
$14.50 I'm positive.
Step-by-step explanation:
Rented one time shoes: $2.75
One game of bowling: $2.50*4 games of bowling
4 games of bowling is $10
$2.75+$10One nachos: $1.75*2 orders of nachos
2 orders of nachos is $3.50
Half price of nachos, so 3.50/2 which is 1.75.$2.75+$10+$1.75= $14.50HOPE THIS HELPED :)
Suppose that there are two types of tickets to a show: advance and same-day. The combined cost of one advance ticket and one same-day ticket is $65 . For one performance, 15 advance tickets and 20 same-day tickets were sold. The total amount paid for the tickets was $1150 . What was the price of each kind of ticket?
Answer:
Advance tickets cost $30; same-day tickets cost $35.
Step-by-step explanation:
Let a = the cost of an advance ticket
and s = the cost of a same-day ticket
We have two conditions:
(1) a + s = 65
(2) 15a + 20s = 1150
Subtract a from each side of (1) (3) s = 65 - a
Substitute (3) into (2) 15a + 20(65 - a) = 1150
Distribute the 20 15a + 1300 - 20a = 1150
Combine like terms 1300 - 5a = 1150
Subtract 1300 from each side -5a = -150
Divide each side by -5 (4) a = 30
Substitute (4) into (1) 30 + s = 65
Subtract 30 from each side s = 35
Advance tickets cost $30; same-day tickets cost $35.
Check:
(1) 30 + 35 = 65 (2) 15 × 30 + 20 × 35 = 1150
65 = 65 450 + 700 = 1150
1150 = 1150
Choose the correct correspondence
1<->
Options
1.< 2
2.< 3
3.< 4
Answer:
Angle 2
Step-by-step explanation:
Looking at triangles ABD and ACD, they have parts which correspond. These parts are located in the same location in each triangle.
Angle 1 corresponds to Angle 2.
Answer:
The angle ∡1 is equivalent to ∡2
Step-by-step explanation:
We need to start with one reasonable assumption on the image to understand the thought process: "In the rhomboid at the left side, the length of AB is equal to AC".
If we trace a line from B to C, the left side of the rhomboid will be an isosceles triangle (see attached image).
One of the characteristics of these triangles is that if we trace a line directly from the vertex A to the opposite side (line BC) it splits the angle by half, so one half would be ∡1 and the other would be the answer: ∡2
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
Learn more here:
https://brainly.com/question/16027164
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]
Translate the algebraic expression 7(8j+4+9j) to a verbal expression.
Seven times the value of eight j plus four plus nine j
Will mark brainliest!!!!!!!! Show work!!!14
So in interest is given once a year.
Year's interest = 200 × 12%
= 200× 12/100 = $24
2 Years' interest = 24 × 2 = $48
Money paid for loan
= 200 + 48
= $248
Ans = $248
Happy to help. Marking me the brainliest would really be appreciated.
Answer:
The amount you pay to the loaner is $248 but the amount of intrest you paid is $48
Step-by-step explanation:
Your Intrest is 12% so the decimal of that is .12. so Multiply .12 with 200, to find out 12% of 200
200 x .12 =24
so 12% of 200 is 24. But also 24 is the amount of intrest you would pay for 1 year. since you have to pay for TWO years multipy 24 by 2
24 x 2 = 48
so you pay $48 in intrest
Hope this helps!
Please help . I will give brainliest.
Answer:
x=5
Step-by-step explanation:
1/2 x^3 = 125 /2
Multiply each side by 2
2*1/2 x^3 = 125 /2*2
x^3 = 125
Take the cube root of each side
(x^3) ^ 1/3 = (125) ^ 1/3
x = 5
( 5*5*5 = 125 -5*-5*-5 = -125)
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
Kendall had $1000 in a savings account at the beginning of the semester. She has a goal to have at least $350 in the account by the end of the semester, but she would draws $55 each week for food clothes and entertainment. For how many weeks can Kendall withdraw that Amount and keep to her goal
Answer:
11 weeks
Step-by-step explanation:
First we need to check what variables we have.
Beginning Balance = $1000
Goal = $350
Withdrawal = $55 per week
Now let's declare a variable as the number of weeks.
Let x = number of weeks
1000 - 55x = 350
-55x = 350-1000
-55x = -650
Then we divide both sides by -55 to find the value of x.
x = 11.81 or 11 since we're looking for how many weeks in total
Now let's see if we still have 350 if we have a total of 11 as the value of x.
1000 - 55(11) = 350
1000 - 605 = 350
395 = 350
We can see that Kendall will have $395 compared to the $350 goal.
So Kendall can withdraw $55 a week for 11 weeks to still be within her goal of having $350 in her savings account.
From the initial $1000 savings, Kendall can make withdrawals for 11 full weeks while maintaining her goal of having at least $350 left in the account.
Explanation:To find out how many weeks Kendall can withdraw funds, we first need to calculate how much money Kendall can actually spend without going below her goal of $350. This is done by subtracting Kendall's savings goal from her initial savings. So, $1000 - $350 = $650.
Next, we divide this available amount ($650) by how much Kendall withdraws each week ($55). So, $650 ÷ $55 = approximately 11.82 weeks. Since Kendall can't withdraw money for a part of a week, she can make this withdrawal for 11 full weeks before reaching her goal of $350 in her account.
Learn more about Saving Goal here:https://brainly.com/question/11508361
#SPJ
9/11 = ?/22 math is killing me any good answers
9/11 = x/22
9*22 = 11x
198 = 11x | :11
x = 18
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).
I need help I do not understand.
9+ -6 -6
What do you want to know?
A scale factor of _____ was applied to the first triangle.
1:4 is the scale factor of the triangle
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.