Answer:
Minus sign & it represents that the money is a debt
Step-by-step explanation:
Quiana took a loan of $15,234.68. This is also the same amount of money that Quiana wil return to the lender.
A minus sign (-) was inserted before the amount of money that Quiana borrowed. It represents that the money is a debt that Quiana owes and she will have to return (pay back) to the lender.
Determine whether the geometric series 25 − 5 + 1 − 0.2 ... converges or diverges, and identify the sum if it exists.
Answer:
Converges
Sum = 20.8333
Step-by-step explanation:
A geometric series has a general formula of:
[tex]\sum ar^n[/tex]
Where 'a' is the initial term, 'n' is the number of terms, and 'r' is the constant ratio. If |r| < 1 than the series converges.
In this particular case, the initial term is a=25, and each term is being divided by -5, or multiplied by -0.2, so the general form would be:
[tex]\sum 25*(-0.2)^n[/tex]
Since 0.2 < 1.0, the series converges.
The sum of the series is given by:
[tex]S=\frac{a}{1-r}\\S=\frac{25}{1-(-0.2)}\\S=20.8333[/tex]
The sum is 20.8333.
The geometric series converges and the sum is equal to 20.83.
What is a Geometric Series ?A geometric series is the sum of an infinite number of terms that have a constant ratio between successive terms .
A geometric series has a general formula of:
∑arⁿ
Where 'a' is the initial term, 'n' is the number of terms, and 'r' is the constant ratio. If |r| < 1 than the series converges.
In this particular case, the initial term is a=25 and each term is divided by -5 or multiplied by (-0.2)
Therefore r = -0.2 and as it is <1 therefore the series converges
The sum of a convergent series is
S = a/(1-r)
S = 25/(1-(-0.2))
S= 25/1.2
S = 20.83
Therefore the sum of the series is 20.83
To know more about Geometric Series
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Change each algebraic expression to a verbal expression.
1. A+B = 10
2. 4x - y = a
Answer:
1. A letter, A, added to a letter, B, equals ten.
2. A letter, x, which is multiplied by 4, then has a number, y, subtracted from it to equal a letter, a.
If you try write these out, I'm sure you'd get the algebraic expression given.
Please help :( will mark brainliest!!
Answer:
Median = 3.5
Step-by-step explanation:
Median is the middlemost number.
Here, there are two middlemost numbers, 5 and 2
So, we'll take the mean of them to find out the median
Median = 5+2/2
Median = 7/2
Median = 3.5
Jason walked for 0.75 hours at the rate of 3.4 miles per hour. He determines that he walked 0.255 miles. Which best refutes Jason’s solution?
Answer:
Jason likely misplaced the decimal, because 3 times 1 = 3, and if the decimal was between the 2 and the 5, the number would be near 3.
Step-by-step explanation:
Jason applied 2 and 82.242 miles
Answer:
b
Step-by-step explanation:
plz help iam new i rlly need help
[tex]42 \times 48=2016[/tex]
[tex]24 \times 84 = 2016[/tex]
The answer is 42 × 48 because even when we switch the digits, the product remains the same.
Can I have some help please? Thanks!
Answer:
(22/7)/6=0.523809
Step-by-step explanation:
V=4/3πr^3
V=4/3π(1/2)^3=π/6
or (22/7)/6=0.523809
The congruence theorem that can be used to prove △LON ≅ △LMN is SSS. ASA. SAS. HL.
Answer:
The correct option is SSS (Side-Side-Side) Theorem
Step-by-step explanation:
The question is incomplete because the diagrams of ΔLON and ΔLMN are not given. I have attached the diagram of both triangles below for better understanding of the question.
Consider the diagram attached below. We have to find the congruence theorem which can be used to prove that ΔLON ≅ ΔLMN
We can see in the diagram that both triangle have a common side that is LN. It means 1 side of both triangles is congruent because LN≅LN
Consider the sides ON and MN. Both side have a single bar on them, which means that it is given that both of these side are congruent. Hence ON≅MN
Consider the sides LO and LM. Both side have a double bars on them, which means that it is given that both of these side are also congruent. Hence LO≅LM
SSS theorem states that if all sides of the triangles are congruent, then the triangles themselves are also congruent, which is the same case in this question
Answer:
D. SSS
Step-by-step explanation:
I hope this helps.
The water from a fire hose follows a path described by y equals 2.0 plus 0.9 x minus 0.10 x squared (units are in meters). If v Subscript x is constant at 10.0 m/s, find the resultant velocity at the point left parenthesis 9.0 comma 2.0 right parenthesis .
Answer:
The resultant velocity is 12.21 m/s.
Step-by-step explanation:
We are given that the water from a fire hose follows a path described by y equals 2.0 plus 0.9 x minus 0.10 x squared (units are in meters).
Also, v Subscript x is constant at 10.0 m/s.
The water from a fire hose follows a path described by the following equation below;
[tex]y=2.0 + 0.9x-0.10x^{2}[/tex]
The velocity of the [tex]x[/tex] component is constant at = [tex]v_x=10.0 \text{ m/s}[/tex]
and the point at which resultant velocity has to be calculated is (9.0,2.0).
Let the velocity of x and y component be represented as;
[tex]v_x=\frac{dx}{dt} \text{ and } v_y=\frac{dy}{dt}[/tex]
Now, differentiating the above equation with respect to t, we get;
[tex]y=2.0 + 0.9x-0.10x^{2}[/tex]
[tex]\frac{dy}{dt} =0 + 0.9\frac{dx}{dt} -(0.10\times 2)\frac{dx}{dt}[/tex]
[tex]\frac{dy}{dt} = 0.9\frac{dx}{dt} -0.2\frac{dx}{dt}[/tex]
[tex]v_y = 0.9v_x -0.2v_x[/tex]
[tex]v_y = 0.7v_x[/tex]
Now, putting [tex]v_x=10.0 \text{ m/s}[/tex] in the above equation;
[tex]v_y = 0.7 \times 10.0[/tex] = 7 m/s
Now, the resultant velocity is given by = [tex]v=\sqrt{v_x^{2}+v_y^{2} }[/tex]
[tex]v=\sqrt{10^{2}+7^{2} }[/tex]
= [tex]\sqrt{149}[/tex] = 12.21 m/s
how many times do you need to add 5 to 17 to reach the product of 6 and 7
Answer:
5
Step-by-step explanation:
The product of 6 and 7 is 42.
Let x be the number of times needed to add 5 to 17 to reach 42.
17 + 5x = 42
5x = 42 - 17
5x = 25
x = 5
Answer: I’m pretty sure it’s 5
Step-by-step explanation:
Please help thank you
Answer:
D
Step-by-step explanation:
subsitute each of the x and y values for each of the equations and if they both equal each other It is correct.
Answer:
x = 2, y= -1
Step-by-step explanation:
12x - y = 25
9x + y = 17
add both equations to eliminate y
21x = 42
divide by 21
x = 42/21
x = 2
sub x in equation i to find y
12(2) - y = 25
24 - y = 25
-y = 1
therefore y = -1, x = 2
if four points are collinear, they are also coplanar
Answer:
Hi there!
The correct answer is: True
Step-by-step explanation:
If there is a line, there are infinite planes that pass through that line, therefore since the 4 points are in a line, they are coplanar .
What is the sum of the geometric sequence 1, 4, 16, ... if there are 8 terms? (6 points)
Answer:
21,845
Step-by-step explanation:
The sum of geometric sequence:
S n = a 1 * ( q^n - 1 ) / ( q - 1 )
where: a 1 = 1,
q = a 2 : a 1 = 4 : 1 = 4
S 8 = 1 * ( 4^(8) - 1 ) / ( 4 - 1 ) =
= ( 65,536 - 1 ) / ( 4 - 1 ) = 65,535 / 3 = 21,845
Can I get the awnser to this?
Answer:
100
Step-by-step explanation:
Since the inscribed angle of a circle is always half of its corresponding, the measure of this angle is 200/2=100 degrees. Hope this helps!
Answer:
100
Step-by-step explanation:
Evaluate and match each expression on the left to its value on the right, when x=8 and y=3.
Answer:
12-y------------> 9
3x-y------------>21
4y-10----------->2
1/4 xy-----------> 6
Solution,
Given,
X=8
y=3
Now,
[tex]1. \: \: 12 - y \\ \: \: \: = 12 - 3 \\ \: \: = 9 \\ 2. \: \: 3x - y \\ \: \: = 3 \times 8 - 3 \\ \: \: = 21 \\ 3. \: \: 4y - 10 \\ \: \: = 4 \times 3 - 10 \\ \: = 12 - 10 \\ \: \: = 2 \\ 4. \: \: \frac{1}{4} xy \\ \: \: = \frac{1}{4} \times 8 \times 3 \\ = 6[/tex]
hope this helps...
Good luck on your assignment...
A pen costs twice as much as a pencil. The total cost of 1 1 pen and 1 1 pencil is $2.10 $2.10 . If p p represents the cost of 1 1 pencil, which equation could you use to find p p ?
Answer:
Step-by-step explanation:
You didn't list any choices here, but it doesn't matter. There's only one way to get to the answer so we'll work it through and you can match it up to your choices. The only thing I don't know is how pens is identified if pencils is "p". So I'm going to use the words "pens" and "pencils" and you can take it from there at the end.
If a pen's cost IS twice as much as a pencil...
the word "is" indicates an equals sign, the words "twice as much" indicates 2 multiplied by something. To put that above sentence into an algebraic expression:
pen = 2 pencils
Now for the money part of this.
The total cost of 11 pens and 11 pencils IS (there's that word again!) 2.10
Therefore,
11 pens + 11 pencils = 2.10
But we know from the first expression that pen = 2 pencils so we make the substitution:
11(2 pencils) + 11 pencils = 2.10
I'm not sure how far you are to go with this. That's the main equation you need to solve this. If you were to go further with it you would distribute the 11 into the set of parenthesis to get:
22 pencils + 11 pencils = 2.10 and combine like terms:
33 pencils = 2.10 so
1 pencil is approximately $.06
PLEASEEEE.. MY TEACHER IS ASKING FOR THE ANSWER
See attached graph: v is on the y-axis and t is on the x-axis
A particle is moving along a projectile path at an initial height of 96 feet with an initial speed of 16 feet per second. This can be represented by the function H(t) = −16t2 + 16t + 96. What is the maximum height of the particle?
Answer:
The maximum height the projectile reaches is 100 feet
Step-by-step explanation:
Notice that the given equation representing the height of the projectile is a quadratic equation which negative leading coefficient (-16). Such type of equations would have a parabola that branches downwards as its graph.
therefore, what we need to find is the coordinates of the top vertex of that parabola. We can use for such the typical formula for the x-position of the vertex of a parabola with standard equation:
[tex]f(x)=ax^2+bx+c[/tex]
with x-position of the vertex given by:
[tex]x_v=\frac{-b}{2a}[/tex]
Then in our case ([tex]H(t)=-16t^2+16t+96[/tex]) we have:
Horizontal position of the vertex given by:
[tex]t_{vertex}=\frac{-16}{2(-16)} =\frac{1}{2}[/tex]
and now we can find the maximum height plugging this value into the height expression:
[tex]H(t)=-16(\frac{1}{2}) ^2+16\,(\frac{1}{2})+96=-4+8+96=100\,\,ft[/tex]
Daniel expanded the expression as shown. Negative 2 (Negative 8 x minus 4 y + three-fourths) = negative 10 x minus 8 y minus 1 and one-fourth What errors did he make? Select three options.
Answer:
16x + 8y -3/2
Step-by-step explanation:
The expression can be represented mathematically as follows.
-2(-8x - 4y + 3/4) = - 10x - 8y - 1 1/4
-2(-8x - 4y + 3/4) = - 10x - 8y - 5/4
The first way to solve this expression is by opening the bracket by multiplying the outside values by the inner values.
-2(-8x - 4y + 3/4)
Multiply -2 by all the values in the brackets
-2 × - 8x = 16x not - 10x
-2 × - 4y = 8y not -8y
-2 × 3/4 = -6/4 = - 3/2 not -5/4
Bringing the value together the expected answer will be 16x + 8y -3/2 and not - 10x - 8y - 5/4.
Answer
A, B, and C
Step-by-step explanation:
Hope this helps!
f(x)= 2x^2 + 5x - 17, find f(-1).
Answer:
-20
Step-by-step explanation:
f(x)= 2x^2 + 5x - 17,
f(-1)
Let x = -1
f(-1)= 2 *(-1)^2 + 5(-1) - 17
= 2 *1 -5 -17
= 2 -22
= -20
Answer:
-20
Step-by-step explanation:
f(x)= 2x² + 5x - 17
Put x as -1.
f(-1)= 2(-1)² + 5(-1) - 17
Solve for the powers.
f(-1)= 2(1) + 5(-1) - 17
Multiply the terms.
f(-1)= 2 + -5 - 17
Add or subtract the terms.
f(-1)= -20
work out the volume of a hemisphere. please help i’ll give u brainliest if u help
Answer:
V = 1072.3 cm³
Step-by-step explanation:
Volume of a hemisphere = [tex]\frac{2}{3} \pi r^3[/tex] [Because it's half of a sphere's volume]
V = [tex]\frac{2}{3} (3.14)(8)^3[/tex]
V = [tex]\frac{2}{3} (3.14)(512)[/tex]
V = [tex]\frac{3216.99}{3}[/tex]
V = 1072.3 cm³
what is the solution to the following inequality? x/-3 ≤ 3 A) x ≥ 6 B) x ≤ -9 C) x ≥ 1 D)x ≥ -9
Answer:
option D
Step-by-step explanation:
x/-3≤3
multiply by (-1) on both sides
x/3≥-3
x>=-9
Answer:
Letter D
Step-by-step explanation:
What is the range of this function?
What type of transformation transforms (a , b) to (-a , b)
Answer:
A reflection across the y axis
Step-by-step explanation:
think about it, if you reflect some point across the y-axis it will have a negative x value. For example, if you reflect (1,2) across the y-axis you will get (-1,2)
Answer:
This type of transformation is called mirroring in the y-axis.
Step-by-step explanation:
By mirroring in the y-axis, you can find the new value, by multiplying the x-coordinate by -1.
Any point (a , b) will be transformed after mirroring in the y-axis, to (-a , b), which is the question here.
This type of transformation is called mirroring in the y-axis.
Plzz help ,I’ll give so many points
Answer:
in total she would spend 27.90 so she should bring C i got this by doing 7.80 x 3 because she is buying 3 medium pizzas then i did 0.75 x 6 and got 27.90 so at least bring 25-30 dollars with her
Step-by-step explanation:
Rectangle ABCD was dilated to create rectangle A'B'C'D. Triangle A B C D is dilated to form triangle A prime B prime C prime D. Side B C is 3.8 units. Side A prime B prime is 15 units and side B prime C prime is 9.5 units. What is AB?
Answer:
AB=6 Units
Step-by-step explanation:
Given the following lengths of rectangle ABCD and its dilation A'B'C'D' respectively
A'B' = 15 UnitsB'C' = 9.5 UnitsBC = 3.8 unitsWe are to determine the length of AB. To do this, we first determine the dilation factor.
[tex]D$ilation Factor =\dfrac{B'C'}{BC} =\dfrac{9.5}{3.8} =2.5[/tex]
Therefore:
[tex]\dfrac{A'B'}{AB} =2.5\\\\\dfrac{15}{AB} =2.5\\$Cross multiply \\ 2.5 AB =15 \\AB=15 \div 2.5\\$Therefore, AB=6 Units[/tex]
Answer:
6 units
Step-by-step explanation:
edge 2022
If 96 out of 200 pet owners own cats, what fraction and what percentage of
pet owners do not own cats?
Check all that apply.
A. 52%
104
IL B.
200
C. 48%
D. 0.52%
E 96 help ASAP plz
200
Answer:
A. 52% and B. 104/200
Step-by-step explanation:
To find the answer, we first have to find how many pet owners own cats. As percentages are x/100, when we have x/200 we divide the numerator and denominator by 2 to bring the fraction to 48/100. (96/200 divided by 2 equals 48/100). Now that we have the percentage of pet owners that own cats (48%), we need to find how many do not own cats. To do so, we just subtract 100-48 to get 52. Then, we do the same to the fraction of 96/200. (200-96 = 104). This brings our answers to A. 52% and B. 104/200
The percentage of owners that do not own cat is 52%
What are percentages?A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word per cent means per 100. It is represented by the symbol “%”.
Given here, 96 out of 200 pet owners own cats then the owners who do not own cat are 104
Therefore the number of non cat owners in percentage terms is
= (104/200) ×100
= 52.5%
Hence, the answer is 52.5%
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A package of 3 pairs of insulated socks costs $20.67. What is the unit price of the pairs of socks?
The unit price is $ per pair of socks.
Please quickly
Answer:
$6.89
Step-by-step explanation:
To find unit price divide the dollar by the amount. The dollar is 20.67. The amount of socks are 3. The equation would then be 20.67/3. Then solve and the answer would be $6.89.
Change the unit of length. 6 ft 2 in. = _____ ft Answer Choices A. 6 1/3 B. 6 1/6 C. 6 1/12 D .6 2/3
Answer:
6 1/6 ft
Step-by-step explanation:
12 inches = 1 ft
So 2 inches is 2/12 of a foot
2/12 = 1/6
6 ft 2 inches = 6 1/6 ft
write h(x)=x2-6x + 3 in vertex form
Answer: The vertex form is h(x)=(x-3)^2-6
Step-by-step explanation:
Using the complete the square method, first complete any squares
X^2-6x+(-3)^2-(-3)^2+3
Use the binomial formula
(x-3)^2 - (-3)^2 +3
Simplify
(x-3)^2-6
7th grade math I needs some help
Answer:
Step-by-step explanation:
To find 5e. El change, find the difference between week 1 and 1.
56.92-(-16.54) = 56.92+16.54 = -73.46.
Note: this is negative, because we are calculating the difference.
Hope this helps