Based on the calculation below, the total price of the items before the discount is $58.32.
How do we calculate the total price of the items?Note: The complete question is provided before answering the question as follows:
Iliana signed up for a store credit card with no annual fee to get a discount of 12.5 percent off her entire first purchase. If she saved $7.29 on her first purchase by using this credit card, what was the total price of the items before the discount?
The question is now answered as follows:
Total price of the items = Amount saved / Discount rate
Total price of the items = $7.29 / 12.5%
Total price of the items = $58.32
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[Question 1] You are working with a population of crickets. Before the mating season you check to make sure that the population is in Hardy-Weinberg equilibrium, and you find that the population is in equilibrium. During the mating season you observe that individuals in the population will only mate with others of the same genotype (for example Dd individuals will only mate with Dd individuals). There are only two alleles at this locus ( D is dominant, d is recessive), and you have determined the frequency of the D allele =0.6 in this population. Selection acts against homozygous dominant individuals and their survivorship per generation is 80%. After one generation the frequency of DD individuals will decrease in the population. F
:According to the question:You are working with a population of crickets. Before the mating season you check to make sure that the population is in Hardy-Weinberg equilibrium, and you find that the population is in equilibrium.
During the mating season you observe that individuals in the population will only mate with others of the same genotype (for example Dd individuals will only mate with Dd individuals). There are only two alleles at this locus ( D is dominant, d is recessive), and you have determined the frequency of the D allele =0.6 in this population. Selection acts against homozygous dominant individuals and their survivorship per generation is 80%. After one generation the frequency of DD individuals will decrease in the population.
According to the Hardy-Weinberg equilibrium equation p² + 2pq + q² = 1, the frequency of D (p) and d (q) alleles are:p + q = 1Thus, the frequency of q is 0.4. Here are the calculations for the Hardy-Weinberg equilibrium:p² + 2pq + q² = 1(0.6)² + 2(0.6)(0.4) + (0.4)² = 1After simplifying, it becomes:0.36 + 0.48 + 0.16 = 1This means that the population is in Hardy-Weinberg equilibrium. This is confirmed as the frequencies of DD, Dd, and dd genotypes
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The measure of an angle is 11.3°. What is the measure of its supplementary angle?
Answer:
168.7
..
..
..
.
.................
Which of the following are not polynomials?
Answer:
A C and D are not polynomial
What is the result of the following Boolean expression, if x equals 5, y equals 3, and z equals 8?
not (x < y or z > x) and y < z
A. true
B. false
C. 8
D. 5
The result of the following Boolean expression, if x equals 5, y equals 3, and z equals 8 not (x < y or z > x) and y < z will be false.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
Finally, keep in mind that two negatives add up to a positive. This would print that the compound expression is False because it contains one negative The first step, and one positive expression 2-4 as a whole.
Expression 1 is False because (x=5) (y=3)
The value must now be reversed according to the first step. the current value is true (-) False
Both sub-expressions 1 and 2) must be true for the AND= operator #3. The sub-expression 2 in (y=3) (z=8) is true.
Thus, the result of the following Boolean expression, if x equals 5, y equals 3, and z equals 8 not (x < y or z > x) and y < z will be false.
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Can anyone please help me I am not sure if it’s the correct answer but someone please help me!
Answer:
doing the inverse operationStep-by-step explanation:
You can tell how to isolate a variable by listing the operations done to it, as prescribed by the order of operations. Then, you work backwards up the list performing inverse operations as you go.
__
Additional comment
Where mixed powers of the variable are involved, as in polynomials of degree higher than 1, there is generally not an inverse operation you can use to isolate the variable. Rather, special forms are used that facilitate isolating the variable. The variable in a quadratic, for example, can be isolated by "completing the square." Similar procedures are available for solving cubic and quartic equations, though those tend to be somewhat more complicated.
There are many kinds of equations in which there are no methods for isolating the variable. In general, any mix of polynomial terms and logarithmic, exponential, or trigonometric function terms are in that category: x +sin(x) -3 = 0, for example. (A graphing calculator shows the solution is near x=2.18, where the angle is in radians.)
a rectangle has width that is 2 feet less than the length the arrea of the rectangle is 80 square feet find the dimensions of the rectangle
The dimensions of the rectangle are 10 feet (length) and 8 feet (width).
To find the dimensions of the rectangle with an area of 80 square feet and a width that is 2 feet less than the length,
follow these steps:
1. Let the length of the rectangle be L feet and the width be W feet.
2. According to the given information, W = L - 2.
3. The area of a rectangle is calculated by multiplying its length and width: Area = L × W.
4. Substitute the given area and the relationship between L and W into the equation: 80 = L × (L - 2).
5. Solve the quadratic equation: 80 = L² - 2L.
6. Rearrange the equation: L² - 2L - 80 = 0.
7. Factor the equation: (L - 10)(L + 8) = 0.
8. Solve for L: L = 10 or L = -8 (since the length cannot be negative, L = 10).
9. Substitute L back into the equation for W: W = 10 - 2 = 8.
So, the dimensions of the rectangle are 10 feet (length) and 8 feet (width).
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Factor the following expression 2x^2 - 11x+12
Answer:
(2x-3)(x-4)
Step-by-step explanation:
In a school there are 120 students in a particular year group.Out of those students,100 study math and 60 study physics.15 students study neither math nor physics.Draw a Venn diagram illustrating this information
Step-by-step explanation:
This may help you
Thank you
HELP IMA GIVE BRAINLY AND A LIKE
Answer: 18 animals
Step-by-step explanation:
3 out of 20 pet owners get their pet from a breeder.
To find how many animals have been bought from a breeder, you need to find 3/20 of the 122 animals.
3/20 = 0.15
122 * 0.15 = 18.3
18.3 rounds down to 18
There are 18 animals who have been bought from a breeder.
A one-question survey is to be distributed to a random sample of 1500 adults in Ohio. The question asks if they support an increase in the state sales tax from 5% to 6%, with the additional revenue going to education. Let denote the proportion of adults in the sample who say they support the increase. Suppose that 40% of all adults in Ohio support the increase. What is the mean, , of the sampling distribution of ?
a.
40% ± 5%
b.
6%
c.
5%
d.
0.40
They support an increase in the state sales tax from 5% to 6%, with the additional revenue going to education. Let denote the proportion of adults in the sample who say they support the increase. Suppose that 40% of all adults in Ohio support the increase. the correct answer is (d) 0.40.
Mean is nothing but the average of the given set of values. It denotes the equal distribution of values for a given data
set. The mean, median and mode are the three commonly used measures of central tendency.
To calculate the mean, we need to add the total values given in a datasheet and divide the sum by the total number of
values.
The mean, μ, of the sampling distribution of p can be found using the formula
μ = p,
where p is the proportion of adults in the entire population who support the increase.
In this case, 40% of all adults in Ohio support the increase, so p = 0.40.
Therefore, the mean of the sampling distribution of p is:
μ = 0.40
So the correct answer is (d) 0.40.
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Which of the following examples would constitute a discrete random variable?
I. Total number of points scored in a football game
II. Height of the ocean's tide at a given location
III. Number of near collisions of aircraft in a year
The examples that would constitute a discrete random variable are;
I. Total number of points scored in a football game
III. Number of near collisions of aircraft in a year
What is discrete random variable?A discrete random variable has only a countable number of different values that it can assume. Usually, but not always, discrete random variables are counts. A random variable is discrete if it can only take a finite number of different values. A variable whose value is determined by counting is referred to as a discrete variable.
A continuous variable is one whose value may be determined through measurement. A random variable is a variable whose value is the resultant number of an unpredictable event.
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can you guys please help me quick !
Answer:
31
Step-by-step explanation:
58 - 27 = 31
Fashion trends are a nonprice determinant for demand because they do not affect demand. they change the supply of accessories. they influence people's tastes and preferences in clothing. they cause a movement along the demand curve.
Fashion trends influence people's tastes and preferences in clothing.
Fashion trends have a significant impact on the demand for clothing and fashion accessories. They play a crucial role in shaping people's tastes and preferences, which directly affect their purchasing decisions. As fashion trends change, consumers are influenced to adopt new styles, designs, and aesthetics, leading to shifts in their demand for clothing items.
Fashion trends are a non price determinant of demand because they operate independently of the price of the products. Unlike factors like price, income, or availability, fashion trends do not directly affect the quantity demanded at a given price. Instead, they influence consumers' preferences, attitudes, and perceptions towards different clothing options, leading to changes in the overall demand for fashion products.
Fashion trends can create a sense of novelty, social acceptance, and personal expression, driving consumers to seek out specific styles or brands that align with the current trends. This influence on people's tastes and preferences in clothing can result in shifts in demand curves as consumer preferences change over time. Therefore, fashion trends are a significant nonprice determinant of demand in the fashion industry.
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a local restaurant purchased 10 pounds of flour at a total cost of $40. what is the cost for one pound of flour?
Answer:
4 dollars a pound
Step-by-step explanation:
4x 10 = 40
Gabe earns $10 per hour working for a landscaping business. He earned a raise to $10.75 per hour. What is the percent increase of Gabe’s wages? If necessary, round your answer to the nearest tenth of a percent. please help
Answer:
Step-by-step explanation:
the percent increase would be 7.5%
10% of 10 is 1 dollar
$.75 increase would be a 7.5% increase
Answer:
107.50 because you would take 10.75 and 10 and divide it so he got an extra 7.50 hope this helps
Step-by-step explanation:
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Verbal
4. When describing sets of numbers using interval notation, when do you use a parenthesis and when do you use a bracket?
Step-by-step explanation:
A parenthesis is used when the number next to it is NOT part of the solution set
like : all numbers up to but not including 3 .
Parens are always next to infinity when it is part of the solution set .
A bracket is used when the number next to it is included in the solution set.
suppose he starts with the same square of card, but changed the 4 inches to a different measurement. what is the largest volume he can make the box
The volume of the box will be 3136 cu. inches and the largest volume the box can be made of is also the same.
The amount of space occupied by a three-dimensional object as measured in cubic units.
The given square after getting folded turns into a box of 28*28*4 inches. The volume of the box can be determined by using the formula of volume of the cuboid.
Volume of the cuboid = 28*28*4
Volume of the cuboid =3136 cu. inches
The largest volume that the box can have is 3136 cu. inches as when increasing the height, the length or the width will decrease and so does the volume.
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1. Reflection across the x-axis.
R(-2,2) ► R’
J(-1,4) ► J'
G(3,4) ► G’
reflection in the x axis
x,y=x-y
-2,2
2,-2
-1,4
1,-4
3,4
3,-4
Mind helping me out?
Answer:
24 miles
Step-by-step explanation:
3x is the miles from downstream
4 (x - 1) is the return trip
Solution:
3x = 4 (x - 1)
3x =4x - 4
-x = -4
x = 4
The outward journey 3x = 12 miles
Return journey is same length
Therefore the distance travel is 24 miles
Which expression has a value of −9?
(−12)−3
12−(−3)
(−12)−(−3)
3−(−6)
What are the coordinates of the vertex for y =|x+7|-2
(-3)^4 in expanded form
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\( ({ - 3})^{4} = ( - 3) \times ( - 3) \times ( - 3) \times ( - 3) \\ \)
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Answer:
3x3x3x3
Step-by-step explanation:
1. 4 is the exponent so you would put down (-3) 4 times but, since the -3 is in parentheses it automatically becomes positive.
2. So, instead of writing (-3)x(-3)x(-3)x(-3) or -3x-3x-3x-3 you would write 3x3x3x3.
I hope this helps:)
The local firehouse cooked 780 pieces of chicken for an estimated 240 people coming to their fundraiser. What is the ratio of chicken to people? Round to the nearest tenth if necessary.
Answer:
\(\frac{13}{4}\)
Step-by-step explanation:
\(\frac{780}{240}\) Divide the top and bottom by 60 (GCF)
\(\frac{13}{4}\)
PLEASE WRITE EXPLANATION I REALLY NEED HELP ASAP!!!
Answer:
slope = - \(\frac{3}{2}\)
Step-by-step explanation:
calculate the slope m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (2, 1 ) and (x₂, y₂ ) = (8, - 8 ) ← 2 ordered pairs from the table
note that any 2 ordered pairs may be used to calculate m
m = \(\frac{-8-1}{8-2}\) = \(\frac{-9}{6}\) = - \(\frac{3}{2}\)
Jody is responsible for creating a survey sample. She forgets, however, to include a segment of the population that is relevant to the study. What sort of sampling error has she created? Group of answer choices Census Ethical Systematic Random
Jody has created a systematic sampling error by forgetting to include a segment of the population that is relevant to the study.
Systematic sampling is a sampling method where every nth member of a population is selected to be part of the sample. In Jody's case, she forgot to include a specific segment of the population, which means that the sampling process was not systematic. This error can introduce bias and affect the representativeness of the sample.
No calculations are required for this type of error.
Jody's mistake in not including a relevant segment of the population has resulted in a systematic sampling error. To ensure the accuracy and validity of the study, it is important to rectify this error by including the missing segment or adjusting the sampling method accordingly.
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Nasim wraps a gift box in the shape of a triangular prism. The figure below shows a net for the gift box.
According to the question the total area is 577.88 inch²
What is area?Total area is a measure of two-dimensional space and is typically expressed in units of square meters, square feet, or acres. It is the sum of all the areas of the individual parts of a shape or object. For example, the total area of a rectangle is the area of its two sides added together. Total area can also be used to calculate the area of a circle, triangle, or any other two-dimensional shape.
Area of the two triangle = 2(1/2 bh)
= 21 (1/2 × 12 × 8)
= 96 inch²
Area of the top rectangle = L×W
= 14×8=112 inch²
Middle rectangle = L × W
= 14 × 12 = 168 inch²
Bottom rectangle = L×W
= 14×14.42
= 201.88 inch²
Total area A = 96 + 112+168+201.88
= 577.88 inch²
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Complete Question:
The following quadratic function describes a launched Air Force missiles height over time is h(t)=-t^2+6t.
a. Why is it important to know the zeros of the function? what do the zeros tell us?
b.How long was the missile in flight for?
c. what was the maximum height reached by the missile?
d. The early warning system alarmed when the missile was descending and reached the height of 8 km. how much time is there before impact?
Answer:
See below.
Step-by-step explanation:
a) The zeros tell us when the missiles will be at ground level after being launched.
b) h(t) = 0 = -t^2+6t = t(6-t)
The missile was in flight for 6 units minutes.
c) h'(t) = -2t+6 = 0 --> t = 3
h(3) = 9
d) 8 = -t^2+6t
t^2-6t+8 = 0
(t-2)(t-4)=0
The missile is descending at a height of 8 km at 4 minutes.
It lands at 6 minutes. So, it will impact 2 minutes after the early warning alarm.
Perform the indicated operation, and write the answer in lowest terms.
−16/5 ⋅ (−15/56)
Answer:
6/7
Step-by-step explanation:
First, cancel out 16 and 56 by a common factor of 8. The resulting expression is -2/5*-15/7. Then, simply 5 and 15 by a common factor of 5. Then, you will get: -2*(-3/7). The negatives cancel out, so the answer is 6/7.
Mai drove 355 miles using 17 gallons of gas. At this rate, how many gallons of gas would she need to drive 284 miles?
Answer: We can use a proportion to solve the problem:
17 gallons / 355 miles = x gallons / 284 miles
Cross-multiplying, we get:
17 * 284 = 355 * x
4844 = 355x
x = 13.66 (rounded to two decimal places)
Therefore, Mai would need approximately 13.66 gallons of gas to drive 284 miles at the same rate.
Step-by-step explanation:
A triangle has side lengths of 18 cm, 80 cm, and 81 cm. Classify it as acute, obtuse, or right.obtuserightacute
The triangle is an οbtuse triangle.
What is a triangle?Tο determine if the triangle is acute, οbtuse, οr right, we need tο check if it satisfies the Pythagοrean theοrem. Accοrding tο the Pythagοrean theοrem, in a right triangle, the sum οf the squares οf the lengths οf the legs (the shοrter sides) is equal tο the square οf the length οf the hypοtenuse (the lοngest side). Sο, if the sum οf the squares οf the twο shοrter sides is equal tο the square οf the lοngest side, then the triangle is a right triangle.
Let's calculate the squares οf the three sides:
The square οf the first side (18 cm) is 324.
The square οf the secοnd side (80 cm) is 6400.
The square οf the third side (81 cm) is 6561.
Nοw, we need tο determine if the sum οf the squares οf the twο shοrter sides is greater than οr less than the square οf the lοngest side. Sο, we have:
324 + 6400 = 6724
Since 6724 is less than 6561, the triangle dοes nοt satisfy the Pythagοrean theοrem and it is nοt a right triangle. Therefοre, the triangle is either an acute οr οbtuse triangle.
Tο determine if the triangle is acute οr οbtuse, we need tο find the largest angle οf the triangle. We can use the Law οf Cοsines tο find the largest angle οf the triangle, which is οppοsite the lοngest side. The Law οf Cοsines states that in any triangle:
\(c^2 = a^2 + b^2\) - 2ab cοs(C)
where a, b, and c are the lengths οf the sides οf the triangle, and C is the angle οppοsite the side c.
In οur case, a = 18 cm, b = 80 cm, and c = 81 cm. Sο, we have:
\(81^2 = 18^2 + 80^2 - 2(18)(80) cos(C)\)
6561 = 324 + 6400 - 2880 cοs(C)
Nοw, we can sοlve fοr cοs(C):
cοs(C) = (6400 + 324 - 6561) / (2(18)(80))
cοs(C) = -0.2216
Since cοsine is negative, the angle C is οbtuse.
Therefοre, the triangle is an οbtuse triangle.
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You want to know the classification of a triangle with side lengths 18 cm, 80 cm, and 81 cm. A triangle can be classified by looking at the measure of its largest angle. The classification of the triangle is the same as the classification of that angle: obtuse if > 90°, right if = 90°, and acute if < 90°.
Largest angleThe largest angle is always opposite the longest side. In a triangle with angles A, B, C and their opposite sides a, b, c, we can call the largest angle C. Its measure can be computed using the Law of Cosines, which tells you ...
C = arccos((a² +b² -c²) / (2ab))
C = arccos((18² + 80² - 81²) / (2×18×80)) = arccos(163/2880) ≈ 86.8°
The largest angle is less than 90°, so the triangle is an acute triangle.