Answer:
D. 14.99d
Step-by-step explanation:
d represents the number of DVD's she purchased, and 14.99 was the cost for each DVD. Answer D is multiplying the variable d and the coefficient 14.99. When multiplying variables, there is no need to place a multiplication sign.
Answer:
C. 14.99 divided by d
Step-by-step explanation:
the answer is c because you don't know how many DVDs he bought so by dividing the answer you can then know the price of each DVD they bought.
Help me fix this (image attached)
The value of x from given quadrilateral ABCD is 27°.
In the given quadrilateral ABCD, ∠A=3x+5, ∠B=2x+15, ∠C=4x and ∠D=4x-10.
We know that, the sum of interior angles of quadrilateral is 360°.
Here, ∠A+∠B+∠C+∠D=360°
3x+5+2x+15+4x+4x-10=360°
13x+10=360°
13x=350°
x=350/13
x=26.9
x≈27°
Therefore, the value of x from given quadrilateral ABCD is 27°.
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Suppose that 63% of Abu Dhabi residents own iPhone 13 A new virus affects 4.6% of the iPhone 13 IOS cperating system. Find the probability that an Ahu Dhabi resident selocted at random has an Phone 13 laptop and is infected with the new virus. Round your answer to four decimal places. QUESTION 24 Latifa has applied to study for her bachelor's at University A and University B. The probability of getting accepted from University A is 0.35 and the probability of getting accepted from University 8 is 0.53. If Latifa has no chance of geting accepted at both univarsities, which of the following statements is true? Geting accopted at both universities are independent and mutuaily exciusive events. Getting accepled at both universilies are independent but not mutually exclusive events. Getting accepted at both universities is mutually exclusive but not independent events. Getting accepted at both universities is not mutually exclusive and not independent events.
The probability that an Abu Dhabi resident selected at random has an iPhone 13 and is infected with the new virus can be calculated by multiplying the probabilities of owning an iPhone 13 (0.63) and being infected with the virus (0.046):
Probability = 0.63 * 0.046 = 0.02898
Rounded to four decimal places, the probability is approximately 0.0290.
Regarding the question about Latifa's university acceptances, the statement "Getting accepted at both universities is mutually exclusive but not independent events" is true. This means that it is not possible for Latifa to be accepted at both University A and University B simultaneously, but the acceptance decision of one university does not affect the probability of acceptance at the other university. The events are mutually exclusive because they cannot occur together, but they are not independent as the probability of one event affects the probability of the other event.
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Which number is closest to the
point on the number line?
A) -7/3
B) 16/11
C) 3/7
D) -5/5
Answer:
B. 16/11
Step-by-step explanation:
16/11 as a mixed number is 1 6/11. This is closest to 1 1/2 on the number line. The other negative numbers (-7/3, -5/5) are on the negative end on the spectrum so they are immediately eliminated. 3/7 doesn't have a whole number and therefore is not as close as 16/11 is to the point.
y=x The point F is the foot of the perpendicular from the point (1, 9) to the line y=x. Find the coordinates of F.
Answer: (5,5)
Step-by-step explanation:
The perpendicular to y=x has slope -1, and thus the equation of the perpendicular from (1,9) is \(y=-x+10\).
Finding the point where they intersect, since both equations are set equal to y, we know that -x+10=x, and thus x=5.
If x=5, then y=5 as well.
So, F has coordinates (5,5).
-6 x + 4 = -20
and add your steps to solve
Answer:
x = 4
Step-by-step explanation:
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. PEMDAS is the order of operation, and stands for:
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
First, subtract 4 from both sides of the equation:
-6x + 4 (-4) = -20 (-4)
-6x = -20 - 4
-6x = -24
Next, divide -6 from both sides of the equation:
(-6x)/-6 = (-24)/-6
x = (-24)/(-6)
x = 4
x = 4 is your answer.
~
Answer:
-4
Step-by-step explanation:
-6x+4=-20
-6x+24 (add like variables)
-4 (divide by -6)
Pleaseeeeeee helppppppppp
Answer:
1.7143 or 1 5/7
Step-by-step explanation:
Hope this helps
Answer:
\(1\frac{5}{7}\)
Step-by-step explanation:
\(\frac{6}{1}\) × \(\frac{2}{7} = \frac{12}{7}\) \(\frac{12}{7} = 1\frac{5}{7}\)I hope this helps!
what will it be
\(7x6 {5}^{8 \times \frac{8}{5} 2} \)
Answer:
That's two answers just look closely
Last Wednesday, students could choose ham or turkey sandwiches for lunch. The cafeteria made 100 sandwiches in all, 85% of which were turkey. How many turkey sandwiches did the cafeteria make?
Answer:
85 Turkey sandwiches
Step-by-step explanation:
85% of 100 is 85
That means that the remaining 15% or 15 sandwiches that were made were ham.
Find the Maclaurin Series representation of the function \( f(x)=x \cos (2 x) \). (Hint: If you know the formula for the Maclaurin series of \( \cos (x) \), you may use it).
The Maclaurin Series representation of the function f(x) = x ⋅ cos²(2x) is given by:
f(x) = x - 2/3 x³ + 8/45 x⁵ - 16/315 x⁷ + ..
To find the Maclaurin Series representation of f(x), we need to express the function as a power series centered at x = 0. We start by expanding cos²(2x) using the double angle formula: cos²(2x) = (1/2) + (1/2) cos(4x).
Now we can substitute this into the original function:
f(x) = x ⋅ ((1/2) + (1/2) cos(4x)).
Expanding the terms and rearranging, we have:
f(x) = (1/2) x + (1/2) x cos(4x).
Now we can express cos(4x) as a power series using the Maclaurin Series expansion of cos(x):
cos(4x) = 1 - (1/2)(4x)² + (1/24)(4x)⁴ - (1/720)(4x)⁶ + ...
Substituting this back into f(x) and simplifying, we get:
f(x) = x - 2/3 x³ + 8/45 x⁵ - 16/315 x⁷ + ...
This is the Maclaurin Series representation of f(x).
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the complete question is:
Find the Maclaurin Series representation of the function f(x) = x ⋅ cos²(2x). (Hint: If you know the formula for the Maclaurin series of cos (x), you may use it).
a child advocate collects data by randomly selecting 4 of the 25 state orphanages and surveys every child in the four orphanages.
The child advocate collects data by randomly selecting 4 out of the 25 state orphanages. In each of the four selected orphanages, the child advocate surveys every child.
This approach allows the child advocate to obtain information from a representative sample of children in state orphanages. By surveying every child in the selected orphanages, the child advocate ensures that no child is excluded from the data collection process. This method provides a comprehensive understanding of the experiences, needs, and concerns of the children in the four chosen orphanages.
By collecting data in this manner, the child advocate can gather valuable insights that can inform policies and interventions to improve the well-being and support for children in state orphanages.
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Gabe is designing a flashlight that uses a parabolic reflecting mirror and a light source. The shape of the mirror can be modeled by a parabola that opens upward with a diameter of 4 in. and a depth of 1 in. The vertex of the parabola is at the origin. Where should Gabe place the bulb to ensure a perfect beam of light
Gabe should place the bulb at the point (0, 1/2) to ensure a perfect beam of light in his flashlight.
To ensure a perfect beam of light in Gabe's flashlight, the bulb should be placed at the focus of the parabolic reflecting mirror. In this case, since the parabola opens upward and has its vertex at the origin, the focus will be located on the positive y-axis.
Given that the diameter of the parabola is 4 inches and the depth is 1 inch, we can determine the equation of the parabola in standard form: y² = 4px, where p is the distance from the vertex to the focus.
The diameter of the parabola is 4 inches, which means the distance from the vertex to the rim of the parabola (on either side) is 2 inches. Since the depth is 1 inch, the focus will be located at a distance of p = 1/2 inch above the vertex.
Therefore, to guarantee that the flashlight's beam of light is perfect, Gabe should position the bulb at (0, 1/2).
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What is the perimeter of the parallelogram?
Answer 18
Solve 5+5+4+4=18
Is -2/3 greater then 1 2/4
Answer: No
Step-by-step explanation:
Because 1 2/4 = 6/4 = 3/2 or 1.5
When the other one is a negative fraction which is very obviously that 1 2/4 is greater than -2/3
Answer: 1 2/4 is greater than -2/3
Step-by-step explanation: A positive number is always greater than a negative number, even when dealing with fractions
Assume a substance has a half-life of 11 years and the initial amount is 101 grams. How much remains at the end of 7 years? equation editorEquation Editor grams How long will it be until only 15 % remains? equation editorEquation Editor years (Your answers should be accurate to within two and one decimal place respectively.)
It will take approximately 30.1 years until only 15% of the substance remains.
To calculate the amount remaining after a certain time, we can use the formula:
A = A₀ × \(1/2^{(t/T)}\)
Where:
A is the amount remaining after time t
A₀ is the initial amount
T is the half-life
Let's calculate the amount remaining at the end of 7 years:
A = 101 × \((1/2)^{7/11}\)
A ≈ 101× 0.6545
A ≈ 66.04 grams
Therefore, approximately 66.04 grams of the substance will remain at the end of 7 years.
Now, let's calculate how long it will be until only 15% of the substance remains:
We need to solve the equation:
0.15 = 1× \(1/2^{(t/11)}\)
To do this, we can take the logarithm base 2 of both sides to simplify the equation:
log₂(0.15) = log₂\((1/2)^{(t/11)}\)
Using the logarithmic identity logₐ(\(b^{c}\)) = c ×logₐ(b):
log₂(0.15) = (t / 11) ×log₂(1/2)
Now we can solve for t:
t / 11 = log₂(0.15) / log₂(1/2)
t / 11 ≈ -2.7369
Multiply both sides by 11 to isolate t:
t ≈ -2.7369 × 11
t ≈ -30.106
The negative value for t indicates that 15% of the substance hasn't decayed yet. We'll take the absolute value to get the positive time:
t ≈ 30.106 years
Therefore, it will take approximately 30.1 years until only 15% of the substance remains.
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please help as soon as possible
Answer:
m = \(\frac{4}{3}\)
compute the critical value z a/2 that corresponds to 97% level of confidence, compute the critical value z a/2 that corresponds to 80% level of confidence?
The critical value z a/2 that corresponds to a 97% level of confidence is 1.96, and the critical value z a/2 that corresponds to an 80% level of confidence is 1.28.
In statistical hypothesis testing, the critical value is the point beyond which we reject the null hypothesis. To find the critical values, we need to use the standard normal distribution table or calculator.
For a 97% level of confidence, the significance level (α) is 0.03, and the critical value can be found by dividing α by 2 to get 0.015 (since it's a two-tailed test), and then finding the corresponding z-value using the standard normal distribution table or calculator. The z-value is 1.96.
Similarly, for an 80% level of confidence, the significance level (α) is 0.20, and the critical value can be found by dividing α by 2 to get 0.10 (since it's a two-tailed test), and then finding the corresponding z-value using the standard normal distribution table or calculator. The z-value is 1.28.
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I need help with the last question please.Identify the zeros of the function below.
Given the graph of a function, you need to remember that, by definition, the zeros of a function are the x-intercepts (where the function intersects the x-axis).
In this case, you can identify that the function intersects the x-axis at these points (approximately):
\(\begin{gathered} (1,0) \\ (4,0) \end{gathered}\)Therefore, the roots are, approximately:
\(\begin{gathered} x_1\approx1 \\ x_2\approx4 \end{gathered}\)Hence, the answer is:
\(\begin{gathered} x_1\approx1 \\ x_2\approx4 \end{gathered}\)A function is given by a formula. Determine whether it is one-to-one. f(x) = x² – 3x By definition a one-to-one function never takes on the same value twice. In other words, f(x1) + f(22) whenever 21 + x2. The graph of the function f(x) = x2 – 3x is a parabola. The function has two roots; the smaller is z = and the larger is x = Since we have two roots, there are two different values of x for which f(x) = 0. From this we can conclude whether f(x) is one-to-one.
The function f(x) = x² - 3x is not one-to-one.
Does the function f(x) = x² - 3x satisfy the condition of being one-to-one?To determine whether the function f(x) = x² - 3x is one-to-one, we need to examine whether it takes on the same value twice.
The function f(x) = x² - 3x is a quadratic function represented by a parabola. To find the roots of the function, we set f(x) equal to zero:
x² - 3x = 0
Factoring out x:
x(x - 3) = 0
From this, we find that the function has two roots: x = 0 and x = 3. These are the values of x for which f(x) equals zero.
Since the function has two distinct values of x that yield the same output of zero, we can conclude that it is not one-to-one.
A one-to-one function should never take on the same value twice, but in this case, we have multiple x values (0 and 3) that result in the same output (zero).
Therefore, the function f(x) = x² - 3x is not one-to-one.
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6. Pre-CS responding of 81 and a CS responding of 49 : ?
7. What does CS responding mean?
8. What does a suppression ratio of zero mean? Explain in terms of both responding and fear.
CS responding of 81 refers to the response to a conditioned stimulus. A suppression ratio of zero means no fear response is observed, indicating no learned association between the conditioned stimulus and the aversive outcome.
“CS responding” refers to the response elicited by a conditioned stimulus (CS). A conditioned stimulus is a neutral stimulus that, through repeated pairing with an unconditioned stimulus (UCS), acquires the ability to elicit a conditioned response (CR). The CS responding value represents the level or frequency of the conditioned response.
Now, let’s address the concept of a suppression ratio. In fear conditioning experiments, a common way to measure fear is through a suppression ratio, which is calculated by dividing the number of responses emitted during the CS presentation by the total number of responses emitted during a specific period, usually including both the CS and a baseline period.
A suppression ratio of zero indicates that no suppression of responding occurs during the presentation of the conditioned stimulus. This means that the individual is not showing any reduction in their responding when the CS is presented compared to the baseline period.
In terms of both responding and fear, a suppression ratio of zero suggests that the individual is not associating the CS with the aversive outcome (UCS) and does not exhibit any fear response. Essentially, there is no behavioral evidence of conditioned fear or a learned association between the CS and the aversive stimulus.
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Simplify the expression
(Please show the work)
After dinner, Jackie's pitcher has 8 cups of sweet tea left in it. How many pints is this?
4 pints
O 21 pints
14 pints
1
pints
2
8 cups would be 4 pints for your problem
find an equation for the nth term of the arithmetic sequence.
-20, -16, -12, -8, ...
a. an = -20 x 4(n - 1)
b. an = -20 + 4(n - 1)
c. an = -20 + 4(n + 2)
d. an = -20 + 4(n + 1)
Answer:
TN -20+4
Step-by-step explanation:
T5= 18(5)-12
t6= 18 ( 6) -12
tn = 18 (7)-12
The diameter of a circle is 17 cm. Find the circumference to the nearest tenth.
Answer: C≈53.41cm
If rounded the answer is C=50.00
HOPE THIS HELPS
Step-by-step explanation:
circumference=2πr
r=d/2=17/2=8.5
circumference= 2 x 3.142 x 8.5
=53.4 to the nearest tenth
pls answer all the questions on the paper
Small egg-shaped structure inside the cell.
Acts like the brain of the cell.
It contains generic material and Many Proteins.
Stores the cells hereditary material or
ChromosomesThread-like structures found in the DNA of a cell that contains all nucleus.
Each DNA is made of protein and a single molecule of chromosome.
Comes in sets of 2 (or pairs)
Human cell nucleus contains 46 chromosomes or 23 pairs.
Half of these chromosomes come from one parent and half come form the another parent.
DNAMolecule that carries the genetic information for all living organisms.
Short for Deoxyribonucleic acid.
Contains the specific instructions that make each type of living creature unique.
Determines how the cells in a body reproduce.
GenesDetermine traits/characteristics that are passed on to you.
A stretch of DNA on a chromosome with instructions for one trait.
Chromosomes come in pairs. Each parent has two copies of each genes.
Each parent passes along just one copy to make up the genes of the DNA.
Cell contains the nucleus. Nucleus contains the chromosomes. Chromosomes contains the DNA. DNA contains the genes.
Acquired TraitsNot passed down to offspring genetically. trait. Is a learned trait.
Is a product of the environmental influence on the organism.
Understanding Nucleus, Chromosomes, DNA, Genes and Acquired TraitThe nucleus is the largest organelle in the body which consists of four main parts. The main function of the cell nucleus is as a command center that stores genetic material and controls cell growth and reproduction.
Chromosomes are structures in the form of long threads in the nucleus of human cells which are the repository for the genetic characteristics of living things.
DNA is the inherited genetic material. The DNA molecule is stored in the cell nucleus and a small part can be found in the mitochondria
Gene is the unit of heredity of a living organism and is stored in a certain position on the chromosome. Genes in the bodies of creatures have a very important function. The function of the gene is the part passed down from parents to their children.
Acquired traits are personality traits developed in an individual as a result of environmental influences. These traits are not encoded in the organism's DNA, so they are not passed on to future generations.
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one leg of a right triangle is 7 cm less than the length of the other leg. the length of the hypotenuse is 13 cm. find the lengths of the legs.
The lengths of the legs are 5 and 12.
Let ' a ' represent the length of the right triangle's shorter leg.
Other leg length equals a + 7
The hypotenuse must be at least 13 cm long.
a² + (a + 7)² = 132
a² + a² + 49 + 14a = 132
a² + 7a − 60 = 0
The equation's roots are a=5 and a=12.
Given that length is positive, a=5 is a valid root.
Thus, the two legs of the supplied right triangle are 5 and 12.
⇒ 5² + 12²
= 25 + 144 = 169 which equals 13²
Therefore, the lengths of the legs are 5 and 12.
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Answer:
The length of legs are 12 and 5 .
Given that,
In a right angled triangle,
Hypotenuse= 13cm
One leg of a right triangle is 7 cm less than the length of the other leg.
Let,
One side of the triangle is x.
And the other side of the triangle is x-7.
As we know,
A/q pythagoras theorem, the square of the hypotenuse is equal to the other sides of the right angled triangle.
h²= p² + b²
So,
(x)² + (x-7)² = 13² (Pythagoras theorem)
x² + x² - 14x + 49 = 169 {(a-b)² expansion}
2x² - 14x + 49 = 169
2x² - 14x = 169 - 49
2x² - 14x = 120
2(x² - 7x) = 120
x² - 7x = 120/2
x² - 7x - 60= 0
x² + 5x - 12x - 60 = 0
x(x+5) - 12(x+5)= 0
(x+5) (x-12)= 0
Now,
x+5 = 0
x = -5 ( not considered because value is negative)
And,
x- 12 = 0
x= 12
If x is equal to 12, then x-7 equals to
12-7 = 5
Both sides are 12 and 5.
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Jane and Sheryl are scuba diving. Relative to the surfaceof the water, Jane's position is -14 feet and Sheryl'sposition is -10 feet. Write and evaluate a subtractionexpression that shows Jane's position relative to Sheryl'sposition.
Both of them are scuba diver . There position is measured relative to surface of the water. I will use diagram to describe the event
Janes position relative to sheryls position can be expressed as follows
- 10 - (-14) = -10 + 14 = 4 ft
Because age cannot be an independent variable, research on aging uses a(n) ______________ type of design.
Research on aging uses a **longitudinal** design.
A longitudinal design is a research design in which the same participants are studied over time. This is in contrast to a **cross-sectional** design, in which different participants are studied at different times.
Because age cannot be manipulated as an independent variable, research on aging must use a longitudinal design. This allows researchers to track changes in participants' behavior, cognition, and other factors as they age.
Longitudinal studies can be expensive and time-consuming to conduct, but they can provide valuable insights into the aging process. For example, longitudinal studies have shown that cognitive decline is not inevitable with age, and that certain lifestyle factors, such as exercise and social engagement, can help to protect against cognitive decline.
Here are some examples of longitudinal studies on aging:
* The Baltimore Longitudinal Study of Aging, which has been following a group of adults for over 70 years.
* The Framingham Heart Study, which has been following a group of adults for over 70 years.
* The Study of Adult Development and Aging, which has been following a group of adults for over 80 years.
These studies have provided valuable insights into the aging process, and they continue to be an important source of information for researchers and policymakers.
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MJ Supply distributes bags of dog food to pet stores. Its markup rate is 28%. Which equation represents the nee price of a bag, y, given an original price, p?
MJ Supply distributes bags of dog food to pet stores. Its markup rate is 28%. Which equation represents the nee price of a bag, y, given an original price, p?
we know that
100%+28%=128%=128/100=1.28
so
the value of y is equal to
y=1.28p4. Find the coordinates in the table after a translation 3 units right and 4 units down followed by a reflection over the x-axis. (show the notation for each transformation)
At the store Brand P potato chips were $19.00 for 5 bags. Brand Q potato chips were $13.17 for 3 bags. Which brand has the cheaper price?
Answer:
Brand P has the cheaper price
Step-by-step explanation:
Brand P: $19.00 / 5 bags = $3.80 per bag
Brand Q: $13.17 / 3 bags = $4.39 per bag