Answer:
The final cost of Amelia's clothes will be $79.98 without sales tax and $85.78 with sales tax.
Step-by-step explanation:
To find the final cost of Amelia's clothes without sales tax, start by writing an equation for the problem, and the equation will look like $\(32.00+2(\)$\(23.99)=x\). Next, simplify the equation, which will look like $\(32.00+\)$\(47.98=x\). Then, solve the equation, which will look like $\(79.98=x\). The final cost of Amelia's clothes without sales tax will be $79.98.
To find the final cost of Amelia's clothes with sales tax, start by writing another equation for the problem, and this equation will look like $\(32.00+2(\)$\(23.99)+\)$\(5.80=x\). Next, simplify the equation, which will look like $\(32.00+\)$\(47.98+\)$\(5.80=x\). Then, solve the equation, which will look like $\(85.78=x\). The final cost of Amelia's clothes with sales tax will be $85.78.
30 sweets are shared between 2 groups in the ratio 3:7. How many sweets are in each group?
Answer:
See explanation below
Step-by-step explanation:
Given the ratio between two groups to be 3:7
Total ratio = 3+7 = 10
Total sweet shared = 30sweets
For the group with ratio of 3;
Share = 3/10×30
Share = 3×3
Share = 9 sweet
For the group with ratio of 5
This share = 7/10×30
This share = 7×3
This share = 21sweet
!!i’ll give brainlist!!
Tim is taking the path shown to bike to Greg's house. Tim travels an average speed of 15 mi/hr.
Determine how much time it will take Tim to get to Greg's house. (You may use decimals here)
Answer:
Road:
Distance to Greg's house = 3.2 + 1.7 =
4.9 miles
Time to get to Greg's house =
(4.9 mi)/(15 mi/hr) = about .327 hours = about 19.6 minutes (19 minutes, 36 seconds)
Shortcut:
Distance to Greg's house:
\( \sqrt{ {3.2}^{2} + {1.7}^{2} } = 3.6235 \)
Time to get to Greg's house:
(3.6235 mi)/(15 mi/hr) = about .242 hours = about 14.49 minutes (14 minutes, 30 seconds)
The shortcut is about 4.9 - 3.6235 = 1.28 miles faster (about 5.11 minutes, or 5 minutes, 6 seconds faster)
The nth term of 1, 4, 16, ... is
(Simplify your answer.)
Answer:
the answer is multiple of 4 I believe
Answer:
4^n-1
Step-by-step explanation:
You follow the form ar^n-1 (geometric sequence)
a is the first term
r is the ratio
We know that a is 1
and r is 4
so
1 x 4^n-1
or
4^n-1
We know that they are multiples of 4
One card is drawn from a standard deck of 52 playing cards. Find the probability of each of the following events:
1) Probability of drawing a spade is 14
2) Probability of drawing a seven is 1/13
3) Probability that a heart or spade is drawn = 1/2
4) Probability that blackjack is drawn = 1/26
Simply put, the probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.
1) There are 13 spades in total.
hence, the likelihood of drawing a spade is 13/52, or 14.
2) The sum of the seven is four. (4 suits are in the room)
Probability = 4/52 = 1/13
(3) A heart or spade is drawn.
Total hearts and spades: 13 + 13 = 26
Probability = 26/52 = 1/2
4) A blackjack is drawn, with a total of two blackjacks.
Probability = 2/52 = 1/26.
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Which function is the inverse of f(x) = -5x- 4?
Answer:
Inverse of \(- 5 x - 4 =\) \(\frac{x + 4}{5}\)
Step-by-step explanation:
Let y = -5x-4
Swap y and x
x = -5y -4
Solve for y
x+4 = -5y
\(y=- \frac{x + 4}{5}\) which is the inverse
For which value of x is this equation true?10 + x ÷ 3 = 12
Answer:
Hi
please mark brainliest ❣️
Thanks
Step-by-step explanation:
10 + x / 3 = 12
Cross multiply
10 + x = 12× 3
10 + x = 36
Collect like terms
x= 36 - 10
x = 26
Assume the rate of inflation is 8% per year for the next 2 years. What will be the cost of goods 2 years from now, adjusted for inflation, if the goods cost $280.00 today?
==============================================
Work Shown:
F = future value
P = present value = 280
r = rate of inflation in decimal form = 0.08
t = elapsed time in years = 2
---------
F = P*(1+r)^t
F = 280*(1+0.08)^2
F = 326.592
F = 326.59
Consider the function f(x) = 3x4 − 5x2. This function is (even, odd, neither) because [ f(x) = -f(x), f(x) = f(-x), -f(x) = f(-x) ]
Answer:
odd
Step-by-step explanation:
cuz it can't be neither or even
This data is from a sample. Calculate the mean, standard deviation, and variance. Suggestion: use technology. Round answers to two decimal places.
x
22.8
49.8
17.5
44.1
33.2
20.6
43.2
37.7
Mean =
Standard Deviation =
Variance =
Ooops - now you discover that the data was actually from a population! So now you must give the population standard deviation.
Population Standard Deviation =
1. Mean = 33.61
2. Standard Deviation = 11.3284
3. Variance = 128.33
What are the mean, standard deviation, and variance?The given data are: \(22.8, 49.8, 17.5, 44.1, 33.2, 20.6, 43.2, 37.7\)
To get mean, we will sum up all the numbers and divide by the total count. The mean is:
= (22.8 + 49.8 + 17.5 + 44.1 + 33.2 + 20.6 + 43.2 + 37.7) / 8
= 268.9 / 8
= 33.62
Standard Deviation: \(\sqrt((22.8 - 33.61)^2 + (49.8 - 33.61)^2 + (17.5 - 33.61)^2 + (44.1 - 33.61)^2 + (33.2 - 33.61)^2 + (20.6 - 33.61)^2 + (43.2 - 33.61)^2 + (37.7 - 33.61)^2) / 8\)
= \(\sqrt{128.3336}\)
= 11.3284420818
= 11.3284
Variance = (Standard Deviation)^2
Variance = \(11.3284 ^2\)
Variance = 128.33264656
Variance = 128.33.
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identifies the type of scientific investigation that understands the system as the set of independent parts that work as a whole and tend to a common purpose
The type of scientific research that understands the system as a set of independent parts that function as a whole has been systematic research.
¿What is a scientific investigation?It is a systematic process where the objective is to solve problems or acquire more scientific knowledge.
¿What is a systematic investigation?This is a type or class of scientific research, its name (systematic) is due to the fact that it considers the system as an element made up of different parts that are independent and that work as a whole, in addition, these are associated with a common purpose.
¡Hope this helped!
9. Difference between the place values of "1" in 3116365 is
a, b ∈q , then (a+ b)∈ …………… । *
Answer:
this is an equation of closure property of rational numbers under addition
Step-by-step explanation:
this is the meaning of it
for every a and b belongs to q then a+b belongs to q
A diphosphonate kit contian 180 mCi of Tc99m in 30 ml when it is prepared at 8am. Immediately, a 20 mCi dose is withdrawn for a bone scan. if the patient arrives late at 9:30 and half the volume is accidentally discharged, how much volume from the kit must now be added to the syringe to correct the dose to 20 mCi? (no other doses have been withdrawn meanwhile, and the decay factor for 1.5 hrs is 0.841)
The remaining Kit volume in the syringe is sufficient to correct the dose to 20 mCi.
To solve this problem, we can use the concept of radioactive decay and the decay factor. Here's how we can calculate the required volume to correct the dose:
Determine the initial activity of the kit:
Initial activity = 180 mCi
Calculate the decayed activity at 9:30 (after 1.5 hours):
Decay factor = 0.841
Decay activity = Initial activity * Decay factor
Calculate the remaining activity after withdrawing 20 mCi at 8 am:
Remaining activity = Initial activity - 20 mCi
Calculate the remaining activity at 9:30:
Remaining activity at 9:30 = Remaining activity * Decay factor
Calculate the desired activity at 9:30 (20 mCi):
Desired activity at 9:30 = 20 mCi
Calculate the volume needed to achieve the desired activity:
Volume needed = Desired activity at 9:30 / Remaining activity at 9:30 * Volume at 9:30
Calculate the remaining volume at 9:30:
Remaining volume = Volume at 8 am - Volume withdrawn - Volume accidentally discharged
Calculate the volume that needs to be added:
Volume to be added = Volume needed - Remaining volume
Let's perform the calculations step by step:
Determine the initial activity of the kit:
Initial activity = 180 mCi
Calculate the decayed activity at 9:30 (after 1.5 hours):
Decay factor = 0.841
Decay activity = 180 mCi * 0.841 = 151.38 mCi
Calculate the remaining activity after withdrawing 20 mCi at 8 am:
Remaining activity = 180 mCi - 20 mCi = 160 mCi
Calculate the remaining activity at 9:30:
Remaining activity at 9:30 = 160 mCi * 0.841 = 134.56 mCi
Calculate the desired activity at 9:30 (20 mCi):
Desired activity at 9:30 = 20 mCi
Calculate the volume needed to achieve the desired activity:
Volume needed = (Desired activity at 9:30 / Remaining activity at 9:30) * Volume at 9:30
Volume at 9:30 = Remaining volume = 30 ml - (30 ml / 2) = 15 ml
Volume needed = (20 mCi / 134.56 mCi) * 15 ml = 2.236 ml
Calculate the remaining volume at 9:30:
Remaining volume = 30 ml - (30 ml / 2) = 15 ml
Calculate the volume that needs to be added:
Volume to be added = Volume needed - Remaining volume = 2.236 ml - 15 ml = -12.764 ml
Since the calculated volume to be added is negative, it means that no additional volume is required. The remaining Kit volume in the syringe is sufficient to correct the dose to 20 mCi.
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What additional information would allow you to prove the quadrilateral is a parallelogram according to the minimum criteria?
Question 5 options:
A)
||
B)
≅
C)
≅
D)
∠F ≅ ∠H
The additional information would allow you to prove the quadrilateral is a parallelogram according to the minimum criteria is
EJ ≅ GJ. Option A
How to prove the statementWe need to know the properties of a parallelogram, we have;
Opposite sides are parallel.Opposite sides are congruent.Opposite angles are congruent.Same-Side interior angles (consecutive angles) are supplementary.We know that FJ ≅ JH, it's given by the marks, now if it were to happen that EJ ≅ GJ, that would mean that the diagonals on that quadrilateral are bisecting each other, and if that's so, then the quadrilateral it's indeed a parallelogram.
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The complete question:
What additional information would allow you to prove the quadrilateral is a parallelogram according to the minimum criteria?
A)
ej ≅ gj
B)
ej || gj
C)
fg || eh
D)
ef ≅ hg
The graph below shows triangle A and triangle B. The side lengths of triangle A are proportional to the side lengths of triangle B, and the corresponding angle measures of the two triangles are equal. image b63beb85ff8941fb976339f638c35c47 Which statement BEST describes the relationship between triangle A and triangle B? A The triangles are similar but not congruent. B The triangles are congruent but not similar. C The triangles are both similar and congruent. D The triangles are neither similar nor congruent.
Answer:A.The triangles are similar but not congruent
Step-by-step explanation:
In a congruent traingle:
the both triangles are same in shape and size
There are five theorems to see if the triangles are congruent
and neither particularly applies here
sss: the sides are not equal
as none of the sides are equal, then despite the angles, congruence is not possible
However it is evident that one of the triangles is proportionally bigger than the other but similar. Hence A is correct.
Step-by-step explanation:
Given the points A(-1,2) and B(7,10), find the coordinates of the point P on the directed line segment AB that partitions AB into ratio 1:3. What is the answer for point P?
A = (-1, 2)
B = (7, 10)
1:3
Formula
\(\begin{gathered} \text{ x = }\frac{x1\text{ + rx2}}{1\text{ + r}} \\ \text{ y = }\frac{y1\text{ + ry2}}{1\text{ + r}} \end{gathered}\)Substitution
\(\text{ x = }\frac{-1\text{ + }\frac{1}{3}\text{(7)}}{1\text{ + }\frac{1}{3}}\text{ = }\frac{-1\text{ + }\frac{7}{3}}{\frac{3\text{ + 1}}{3}}\text{ = }\frac{\frac{-3\text{ + 7}}{3}}{\frac{3\text{ + 1}}{3}}\text{ = }\frac{\frac{4}{3}}{\frac{4}{3}}\text{ = 1}\)\(\text{ y = }\frac{2\text{ + }\frac{1}{3}(10)}{1\text{ + }\frac{1}{3}}\text{ = }\frac{2\text{ + }\frac{10}{3}}{\frac{3\text{ + 1}}{3}}\text{ = }\frac{\frac{6\text{ + 10}}{3}}{\frac{4}{3}}\text{ = }\frac{16}{4}\text{ = 4}\)Result x = 1, y = 4
A baseball is hit and its height at different one-second intervals is recorded (See attachment)
Answer:
\(h(t)\) is likely a quadratic function.
Based on values in the table, domain of \(h(t)\) : \(\lbrace 0,\, 1,\, 2,\, 3,\, 4,\, 5,\, 6,\, 7,\, 8\rbrace\); range of \(h(t)\!\): \(\lbrace 0,\, 35.1,\, 60.1\, 75.2,\, 80.3,\, 75.3,\, 60.2,\, 35.0 \rbrace\).
Step-by-step explanation:
By the power rule, \(h(t)\) is a quadratic function if and only if its first derivative, \(h^\prime(t)\), is linear.
In other words, \(h(t)\) is quadratic if and only if \(h^\prime(t)\) is of the form \(a\, x + b\) for some constants \(a\) and \(b\). Tables of differences of \(h(t)\!\) could help approximate whether \(h^\prime(t)\!\) is indeed linear.
Make sure that values of \(t\) in the first row of the table are equally spaced. Calculate the change in \(h(t)\) over each interval:
\(h(1) - h(0) = 35.1\).\(h(2) - h(1) = 25.0\).\(h(3) - h(2) = 15.1\).\(h(4) - h(3) = 5.1\).\(h(5) - h(4) = -5.0\).\(h(6) - h(5) = -15.1\).\(h(7) - h(6) = -25.2\).\(h(8) - h(7) = -35.0\).Consecutive changes to the value of \(h(t)\) appears to resemble a line with slope \((-10)\) within a margin of \(0.2\). Hence, it is likely that \(h(t)\!\) is indeed a quadratic function of \(t\).
The domain of a function is the set of input values that it accepts. For the \(h(t)\) of this question, the domain of \(h(t)\!\) is the set of values that \(t\) could take. These are listed in the first row of this table.
On the other hand, the range of a function is the set of values that it outputs. For the \(h(t)\) of this question, these are the values in the second row of the table.
Since both the domain and range of a function are sets, their members are supposed to be unique. For example, the number "\(0\)" appears twice in the second row of this table: one for \(t = 0\) and the other for \(t = 8\). However, since the range of \(h(t)\) is a set, it should include the number \(0\!\) only once.
6. 21.9 X 0.7
what is this
Answer:
21.9 × 0.7
= 153.3
Answer is 153.3
Answer:
15.33
Step-by-step explanation:
21.9 × 0.7 is 15.33 :)
Determine whether the variable is qualitative or quantitative. Model of car driven Is the variable qualitative or quantitative? A. The variable is quantitative because it is an attribute characteristic. B. The variable is qualitative because it is an attribute characteristic. C. The variable is qualitative because it is a numerical measure.
D. The variable is quantitative because it is a numerical measure.
A variable in mathematics is a number that can change depending on the issue. Several mathematical statements and equations use the generic letters x, y, and z. In other words, a variable is a symbol that stands for an unknowable numeric value. Say that x Plus 5 equals 10. The "x" variable is used here.
The variable "model of car driven" is qualitative because it is an attribute characteristic. Qualitative variables are those that are not numerical in nature but rather represent characteristics or categories that can be observed or measured through attributes. In this case, the model of the car driven is a type of attribute that describes the make and model of the car, such as Honda Civic, Toyota Corolla, etc.
Therefore, option B is the correct answer.
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Optiοn B, "The variable is qualitative because it is an attribute characteristic," is the cοrrect answer.
What is a qualitative variable?A qualitative variable is a type οf variable in statistics that describes a characteristic οr quality οf an οbject οr phenοmenοn. It is alsο called a categοrical variable, and it can be nοminal οr οrdinal. Nοminal variables have categοries that have nο inherent οrder, while οrdinal variables have categοries with a natural οrder οr ranking.
The variable "Mοdel οf car driven" is qualitative because it is an attribute characteristic. Qualitative variables are variables that are nοt numerical in nature but are based οn attributes οr characteristics. In this case, the mοdel οf the car driven is a categοrical variable that describes a particular characteristic οf the car, such as its make οr mοdel. This variable cannοt be measured quantitatively οr numerically, but rather it can be categοrized based οn specific attributes οr features.
Therefοre, οptiοn B, "The variable is qualitative because it is an attribute characteristic," is the cοrrect answer.
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ILL GIVE BRAINLY What is the surface area of the cube?
Drag and drop the correct surface area to match the cube.
Answer:
Below
Step-by-step explanation:
A cube has SIX sides of equal area
each side has area = L x W and L and W are the same = 4.5 m
so: Area = six X ( 4.5 X 4.5) = 6 * 4.5 * 4.5 = 121.5 m^2
Answer:
Hope the picture will help you...
Help me find x value please.
Answer: D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
If one of the angles of a right triangle is 45*, then the other one will be the same. Therefore, both legs of the triangle will be equal as well.
The hypotenuse of a 45* - 45* -90* triangle is equal to x\(\sqrt 2\), therefore x = \(\frac{5}{\sqrt{2} }\)
The answer, when plugged into a calculator, will be D. \(\frac{5\sqrt{2} }{2}\)
Write down in terms of n, an expression for the nth term
of the following sequences
a) 25 20 15 10 5
Answer:
Solution,
First term (a) = 25
Common difference (d) = Second term - first term = 20 - 25 = -5
Now,
nth term = a + (n - 1)d = 25 + (n - 1) (-5) = 25 - 5n +5 = 30 - 5n
The nth term of the series is 30 - 5n
Answer:
The nth term will be:
\(a_n=-5n+30\)
Step-by-step explanation:
Given the sequence
25, 20, 15, 10, 5
An Arithmetic sequence has a constant difference 'd' and is defined by
\(a_n=a_1+\left(n-1\right)d\)
Computing the common difference of all the adjacent terms
\(25,\:20,\:15,\:10,\:5\)
\(20-25=-5,\:\quad \:15-20=-5,\:\quad \:10-15=-5,\:\quad \:5-10=-5\)
As the difference between all the adjacent terms is the same and equal to
\(d=-5\)
Also, the first term is:
\(a_1=25\)
Hence, the nth term will be:
\(a_n=a_1+\left(n-1\right)d\)
\(a_n=-5\left(n-1\right)+25\) ∵ \(a_1=25\), \(d=-5\)
\(a_n=-5n+30\)
Therefore, the nth term will be:
\(a_n=-5n+30\)
Question 10 of 10
Which would not be a step in solving 5x + 15 + 2x = 24 + 4X?
A. Collect variable terms on one side.
OB. Isolate the variable.
C. Use the distributive property.
Ο Ο
D. Collect like terms.
SUBMIT
Answer:
first you correct like terns
Find the number of ordered pairs $(x,y)$ of positive integers that satisfy $x \le 2y \le 60$ and $y \le 2x \le 60$.
The number of ordered pairs $(x,y)$ of positive integers that satisfy the equation would be 480.
We only count one ordered pair by substituting 2 for 60 in this case. We count four ordered pairs by doing with 4.
We got 7 pairings from 6 people. I add 8 to get 12, thus. the difference between neighboring phrases by moving on and doing so (1,3,3,5,5,...).
We believe that if 2n were substituted for 60, we would find 1+3+3+5+5+7+7.... where n words will be present.
So, 1+3+3+5+5... 29+29+31 = 16*30 = 480 is our response.
The number of ordered pairs $(x,y)$ of positive integers that satisfy the equation would be 480.
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The full question:
Find the number of ordered pairs $(x,y)$ of positive integers that satisfy the following equation
What the meaning of "a sequence of length n"?
In mathematics, a sequence is an ordered list of elements, often denoted by brackets or parentheses.
What the meaning of "a sequence of length n"?The term "a sequence of length n" refers to a sequence that contains a specific number of elements, where the number of elements is denoted by "n."
When the domain of a function is the set of natural numbers (N), it is called an infinite sequence. An infinite sequence can be thought of as an ordered list that continues indefinitely.
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6. Given: 9x^3 – 3x^2 + 2x^4 – 7x – 10
a. What is the leading coefficient?
b. What is the degree?
c. How many terms are there?
d. What is the constant?
e. What is the quadratic coefficient?
Answer:
a. 2, because it is the coefficient of the highest degree.
b. 4
c. 5 terms.
d. -10
e. 3, as it is the coefficient of x^2.
If you need more help don't hesitate to ask :)
Linda and Roy are solving the equation 4x+3x-7=(1+4x)+5x. Linda uses a first step that results in 4x+7-3x=(1+4x)+5x Roy uses a first step that results in 4x+3x-7=1+(4x+5x) which statement about the first steps Linda and Roy use is true
Answer:
Option C
Step-by-step explanation:
Linda used the first step that results in,
4x + 7 - 3x = (1 + 4x) + 5x
As Linda changed the sign of (3x) to (-3x), it doesn't matches the original equation.
So she is not correct.
Roy used the first step as,
4x + 3x - 7 = 1 + (4x + 5x)
He has used the associative property in the right hand side of the given equation.
Associative property → (a + b) + c → a + (b + c)
Therefore, he is correct.
Option C is the correct option.
Which ordered pair makes both inequalities true?
y> -3x +3
y22x-2
O (1,0)
O (-1,1)
O (2,2)
O (0,3)
None of the ordered pairs (1, 0), (-1, 1), (2, 2), and (0, 3) make both inequalities true.
To determine which ordered pair makes both inequalities true, we can substitute the given values into the inequalities and check for validity:
1. (1, 0):
For y > -3x + 3: 0 > -3(1) + 3 -> 0 > 0, which is not true.
For y < 2x - 2: 0 < 2(1) - 2 -> 0 < 0, which is not true.
Therefore, (1, 0) does not satisfy both inequalities.
2. (-1, 1):
For y > -3x + 3: 1 > -3(-1) + 3 -> 1 > 6, which is not true.
For y < 2x - 2: 1 < 2(-1) - 2 -> 1 < -4, which is not true.
Therefore, (-1, 1) does not satisfy both inequalities.
3. (2, 2):
For y > -3x + 3: 2 > -3(2) + 3 -> 2 > -3, which is true.
For y < 2x - 2: 2 < 2(2) - 2 -> 2 < 2, which is not true.
Therefore, (2, 2) does not satisfy both inequalities.
4. (0, 3):
For y > -3x + 3: 3 > -3(0) + 3 -> 3 > 3, which is not true.
For y < 2x - 2: 3 < 2(0) - 2 -> 3 < -2, which is not true.
Therefore, (0, 3) does not satisfy both inequalities.
None of the given ordered pairs satisfy both inequalities simultaneously.
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I AM IN A TEST AND I NEED THE ANSWER SOON!!! PLEASEE!!!
THANK YOU SO MUCH!!
On a given blueprint, 1 in. = 16 ft. If the dimensions of the bedroom on the blueprint are 0.75 inches × 1.5 inches, what are its actual measurements?
Answer:
288ft
Step-by-step explanation:
1inche=16ft
0.75inches=0.75×16=12ft
1.5inches=1.5×16=24ft
so: 12ft×24ft=288ft