Answer:
\(first \: week - 4hats \\ second \: week - 4(4) \\ - 16hats \\ third \: week - 4(16) \\ - 64hats \\ fourth \: week - 4(64) \\ - 256hats \\ total = 4 + 16 + 64 + 256 \\ = 340hats\)
Hope that this is helpful.
Have a great day.
Ken has 22 coins in only nickels and dimes which totals $1.35. How many of each coin does he have?
Solve using a let statement; Write and solve a system for each and define all variables.
A store pays $991. 18 for a playground slide. The store marks up the price by 42%. What is the new price?
The new price of playground slide is 1407.4756 dollars.
Given that, a store pays $991.18 for a playground slide.
The store marks up the price by 42%.
The new price = 991.18 + 42% of 991.18
= 991.18 + 42/100 ×991.18
= 991.18 +0.42×991.18
= $1407.4756
Therefore, the new price of playground slide is 1407.4756 dollars.
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Josiah has a triangular-shaped property that measures 48 m by 59 m by 85 m. Find the area of this land in square metres. Express your answer as a mixed radical in simplist form. Show your work below
The area of the triangular-shaped property is 16√(2565805) square meters, expressed as a mixed radical in simplest form.
To find the area of a triangle, we can use Heron's formula. Heron's formula states that for a triangle with side lengths a, b, and c, the area (A) can be calculated as:
A = √(s(s - a)(s - b)(s - c))
where s is the semi-perimeter of the triangle, given by:
s = (a + b + c) / 2
In this case, the side lengths of the triangle are given as 48 m, 59 m, and 85 m. We can calculate the semi-perimeter first:
s = (48 + 59 + 85) / 2
s = 192 / 2
s = 96
Using Heron's formula, we can find the area (A):
A = √(96(96 - 48)(96 - 59)(96 - 85))
A = √(96(48)(37)(11))
Now we simplify the expression under the square root:
A = √(161280(4071))
A = √(656846080)
To express the answer as a mixed radical in simplest form, we can break down the number under the square root:
A = √(656846080)
A = √(16 * 41052880)
A = √(16 * 16 * 2565805)
A = 16 * √(2565805)
Therefore, the area of the triangular-shaped property is 16√(2565805) square meters, expressed as a mixed radical in simplest form.
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what is the equation of a line that contains points (5,3) and (0, -1)
Answer:
y = \(\frac{4}{5}\) x - 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (5, 3 ) and (x₂, y₂ ) = (0, - 1 )
m = \(\frac{-1-3}{0-5}\) = \(\frac{-4}{-5}\) = \(\frac{4}{5}\)
The line crosses the y- axis at (0, - 1 ) ⇒ c = - 1
y = \(\frac{4}{5}\) x - 1 ← equation of line
What is the first step in solving the quadratic equation -5x2+8=133
Answer:
subtracting 8 from both sides of the equation
Step-by-step explanation:
You have to get rid of +8 before squaring both sides.
What is 651 minus -13? Please with explanation.
Answer:
664
Step-by-step explanation:
651 - - 13
Negative times negative is positive.
651 + 13
Add.
664
Answer:
664
Step-by-step explanation:
651 - (-13)
Do the keep , change , change method
So , it will be :
651 + 13 = 664
Hope this helps and plsss plss amrl as brianliest and THNXX :)
For any chi-square goodness-of-fit test, the number of degrees of freedom is found by ______.
n + 1
k -1
n + k
n – k - 1
For any chi-square goodness-of-fit test, the number of degrees of freedom is equals to
(k - 1), where k is number of categories. So, second option is correct.
Chi-square goodness test : The chi-square goodness test is used to check whether the observed data distribution matches with the expected distribution. Since this is a non-parametric test, the data are divided into classes or groups, and the number of values that fall into those groups is compared to the expected number of values that fall into those groups. The chi-square test of goodness has
degrees of freedom equal to the number of groups minus one i.e., (k −1), where
k --> Number of classes or categories, the data is divided into.
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first interpret the slope. select the correct choice below and, if necessary, fill in the answer box to complete your choice.
An essential concept in mathematics and can be applied to a variety of fields such as physics, economics, and engineering.
The slope of a line in a Cartesian plane is a numerical representation of its steepness and inclination relative to the x-axis.
The slope of a straight line refers to the rise or fall of the y-coordinate as it moves from left to right along the x-axis.
There are a few different ways to interpret the slope of a line, but generally it can be thought of as the rate at which the dependent variable changes with respect to the independent variable.
When the slope is positive, the line rises from left to right, indicating that the dependent variable is increasing as the independent variable increases.
In other words, there is a direct relationship between the two variables.
Conversely, when the slope is negative, the line falls from left to right, indicating that the dependent variable is decreasing as the independent variable increases.
This means that there is an inverse relationship between the two variables.
The magnitude of the slope can also provide information about the relationship between the variables.
If the slope is close to zero, then the relationship between the two variables is weak or nonexistent.
However, if the slope is large in magnitude (i.e. close to 1 or -1), then there is a strong relationship between the variables.
A slope of zero indicates that there is no change in the dependent variable as the independent variable changes, while a slope of undefined means that the line is vertical and has no slope.
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NEED ANSWER RIGHT NOW PLS Which graph represents the solution set of the inequality Negative 9 greater-than x?
A number line going from negative 13 to negative 7. An open circle is at negative 9. Everything to the left of the circle is shaded.
A number line going from negative 13 to negative 7. A closed circle is at negative 9. Everything to the left of the circle is shaded.
A number line going from negative 13 to negative 7. An open circle is at negative 9. Everything to the right of the circle is shaded.
A number line going from negative 13 to negative 7. A closed circle is at negative 9. Everything to the right of the circle is shaded.
Answer:
i think C
Step-by-step explanation:
tell me if i am wrong and hope you have a good day
Answer:
A
Step-by-step explanation:
From 1903 to 1957, there were three baseball teams from New York. All were successful and they often met in the World Series. The New York Yankees often represented the American League, while the Brooklyn Dodgers and New York Giants often represented the National League. Make a two-way table and use that table to predict who would win the next time they meet. Be sure to explain why you make your prediction.
World Series 1921 1922 1923 1936 1937 1941 1947 1949 1951 1952 1953 1955 1956
Dodgers or Giants G G G G G D D D G D D D D
Won or Lost Lost Lost Won Won Won Won Won Won Won Won Won Lost Won
Answer: to be honest I don’t know I’m still looking for the answer myself , kinda needed the points tho.. hope ya understand You know
Step-by-step explanation: well there you have it.
The multiplicity of a root r of the characteristic equation of A is called the algebraic multiplicity of r as an eigenvalue of A. (true or false)
The multiplicity of a root r of the characteristic equation of A is called the algebraic multiplicity of r as an eigenvalue of A.
The above statement is True.
Eigenvalue:
An eigenvalue is a special set of scalar values associated with the most probable system of linear equations in a matrix equation. Eigenvectors are also called eigenvalues. It is a non-zero vector which can be modified by at most its scalar factor after applying a linear transformation.
According to the Question:
If the geometric multiple of the eigenvalues is greater than or equal to 2, the linearly independent set of eigenvectors is no longer unique to the multiple as before. For example, for the diagonal matrix A=[3003], one could also choose the eigenvectors [11] and [1−1], or any pair of two linearly independent vectors.
Sometimes vectors are simply expanded to vector times matrix. If this happens, this vector is called the eigenvector of the matrix and the "stretch factor" is called the eigenvalue. Example: Given a square matrix A, λ is the eigenvalue of A, and the corresponding eigenvector x is
Ax = λx.
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What is the y-intercept of the online given by the equation below
y= -10x+14
Answer:
y - intercept = 14
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 10x + 14 ← is in slope- intercept form
with y- intercept c = 14
Find the value of the monomial: 3x^2y for x=1, y=9
Answer:
Step-by-step explanation:
3x^2y
3(2)^2(9)
6^18= 101 559 956 668 416
Answer:
387,420,489 is the answer to the monomial.
Step-by-step explanation:
3x^2y = 3(1)^2(9) when the variables are replaced.
3(1) = 3
2(9) = 18
3^18 = 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3
3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 = 387,420,489
Therefore, 387,420,489 is the answer to the monomial.
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Tomorrow, Mrs. Wendel's class will be using toothpicks for a science project. Each student must use at least 6 toothpicks for the project.
Mrs. Wendel knows that there is already a bag of 50 toothpicks in the class storage room. She plans to buy x additional toothpicks this afternoon to make sure her class will have enough.
If her class has 28 students, which number sentence represents this situation?
Describe the difference between null vs alternative hypothesis
Statistical hypothesis testing employs the null and alternate hypotheses.
The alternative hypothesis of a test expresses the prediction of an effect or relationship based on your study, while the null hypothesis of the test does not yet predict an effect or an association between the variables.
A statement that there is no relationship between two variables is called a null hypothesis. Another hypothesis is that the two variables are statistically correlated.
Alternative unilateral (directional) or the bilateral (non-directional) hypotheses are also possible. Simple, complex, true, and false are the four main categories of null hypotheses. If the p-value is greater than the statistical significance level, null hypothesis is preferred.
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How many ways are there to construct a string of 3 digits from the decimal numbering system if the numbers cannot be repeated
There are total 720 ways according to the permutation by which construct a string of 3 digits from the decimal numbering system.
According to the statement
we have to tell that by how many ways we construct a string of 3 digits from the decimal numbering system.
So, For this purpose,
let a three digits from 0 to 9.
So, There are total digits are 10 and we have to construct three digits.
so, we use permutation here:
Permutation are one of the two different ways of grouping elements of a set into subsets. In a permutation, the elements of the subset are listed in a specific order.
So, here become P(10,3)
And according to formula it become
P(10,3) = 10! / 7!
P(10,3) = 10 * 9 * 8
P(10,3) = 720.
So, There are total 720 ways according to the permutation by which construct a string of 3 digits from the decimal numbering system.
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Select the better deal in the pair. Then give the unit rate for the better deal. $43 $61.05 15 gal 10 gal
A bag contains tickets numbered 0-9. One at a time you pick five tickets without returning the tickets to the bag to create a password you write down each number in the order picked
Answer: there are 30,240 possible passwords that can be created by picking five tickets without returning them to the bag.
Step-by-step explanation: If you pick five tickets without returning them to the bag, the number of possible passwords you can create is determined by the number of choices for each position.
For the first ticket, you have 10 options (0-9).
For the second ticket, you have 9 options remaining (as you've already chosen one ticket).
For the third ticket, you have 8 options remaining.
For the fourth ticket, you have 7 options remaining.
For the fifth ticket, you have 6 options remaining.
To find the total number of possible passwords, you multiply the number of options for each position together:
Total number of possible passwords = 10 * 9 * 8 * 7 * 6 = 30,240.
Therefore, there are 30,240 possible passwords that can be created by picking five tickets without returning them to the bag.
The number of permutations for a 'password' drawn from five tickets in a set of ten numbered 0-9 (without replacing the tickets) is 30,240.
Explanation:This question is about calculating the number of combinations in a given set. Here, the set is 10 tickets numbered 0-9, and you're creating a 'password' by drawing five tickets without replacement. This scenario can be solved using the concept of permutations in mathematics.
The number of possible passwords can be represented as the product of 10 (number of options for the first ticket), 9 (remaining options for the second ticket), 8 (for the third ticket), 7 (for the fourth), and 6 for the last ticket. Therefore, the number of passwords is 10*9*8*7*6 = 30,240 different possible passwords.
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You have a balance of 17,426 on your credit card. Your minimum monthly payment is 461 . If your interest rate is 15.5%, how many years will it take to pay off your card assuming you don't add any debt? Enter your response to two decimal places (ex: 1.23)
With a credit card balance of $17,426, a minimum monthly payment of $461, and an interest rate of 15.5%, we need to calculate the number of years it will take to pay off the card without adding any additional debt.
To determine the time required to pay off the credit card, we consider the monthly payment and the interest rate. Each month, a portion of the payment goes towards reducing the balance, while the remaining balance accrues interest.
To calculate the time needed for repayment, we track the decreasing balance each month. First, we determine the interest accrued on the remaining balance by multiplying it by the monthly interest rate (15.5% divided by 12).
We continue making monthly payments until the remaining balance reaches zero. By dividing the initial balance by the monthly payment minus the portion allocated to interest, we obtain the number of months needed for repayment. Finally, we divide the result by 12 to convert it into years.
In this scenario, it will take approximately 3.81 years to pay off the credit card (17,426 / (461 - (17,426 * (15.5% / 12))) / 12).
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What trait do animals and protists have in common? A. both animals and protists are sometimes made up of many cells B. both animals and protists have cells with a nucleus C. neither animals nor protists can make their own food
(Pls answer I’ll mark brainliest
Protozoa are protists that resemble animals. Single-celled eukaryotes called protozoa have several characteristics in common with animals, both animals and protists have cells with a nucleus, hence option B is correct.
What is eukaryotes?Eukaryota is a varied domain of creatures whose cells have a nucleus, and its members are referred to as eukaryotes. Eukaryotes include all animals, all plants, all fungi, and many unicellular creatures.
They, along with the two categories of prokaryotes, the bacteria and the archaea, make up a significant group of living organism.
A eukaryotic organism that isn't an animal, a plant, or a fungus is considered a protist. Protists do not constitute a natural group, or clade, despite the likelihood that they have a common ancestor with other eukaryotes.
Therefore, option B is correct.
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Sixty percent of the flowers in Karen's garden are roses. Which of the following shows 60% roses?
Answer:
I don't see any answer choices or models, so I will tell you that 60% can also be written as 6/10 and 3/5. Whichever model or answer choice represents 3/5 is the correct answer.
Answer: that 60% can also be written as 6/10 and 3/5. Whichever model or answer choice represents 3/5 is the correct answer.
Step-by-step explanation:
hope you help
Edward deposited $6,000 into a savings account 5 years ago. The simple interest rate is 4%. How much money did Edward earn in interest? Need answer in under 10 minutes
Answer:
,..................... 6000*12*5 %4 =630
Answer:
6240
Step-by-step explanation:
It's it 6,000+4% it's = 6240
3x3x8x8x8x8 in EXPONENTIAL FORM!
x = multiplication sign, not variable!
Answer:
192^2
Step-by-step explanation:
\(\sqrt{3*3*8*8*8*8} = \sqrt {36864} = 192^2\)
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Can someone help me?
Answer:
Acute
Step-by-step explanation:
its Acute because acute angles are small like this one!
let m be the number of units to make and b be the number of units to buy. if it costs $2 to make a unit and $3 to buy a unit and 4000 units are needed, the objective function is min 4000 (m b) max 8000m 12000b min 2m 3b max 2m 3b
The objective function is "min 2m + 3b" which represents the cost of making m units and buying b units. To find the optimal solution, we need to minimize this cost. To begin, we are given that the total number of units needed is 4000. This implies that m + b = 4000.
Now, let's solve for m and b separately.
1. Solving for m:
We want to minimize the cost of making m units, which costs $2 per unit. Therefore, the cost of making m units is 2m dollars.
2. Solving for b:
We want to minimize the cost of buying b units, which costs $3 per unit. Therefore, the cost of buying b units is 3b dollars.
To summarize:
- The cost of making m units is 2m dollars.
- The cost of buying b units is 3b dollars.
- The total number of units needed is 4000, so m + b = 4000.
The objective function "min 2m + 3b" represents the total cost. We want to minimize this cost.
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solve the following equation for q. 5q - 3p + 4 = 4q - 2
Triangle ABC is a sketch of a triangular flower bed that has an area of 65.1 square feet.
Trigonometric area formula: Area =
Answer:
40 ft
Step-by-step explanation:
Triangle ABC is given by AB = 13 ft, BC = 10 ft, ∠ACB = 50° and AC = b. Let AB = a = 13 ft, BC = c = 10 ft
Since two sides are given and one angle is given, to find the other side, we use the cosine formula. The cosine formula is given by:
\(c^2=a^2+b^2-2abcos(C)\\b^2=c^2-a^2+2abcos(C)\\substituting\ values:\\b^2=13^2-10^2+2*10*bcos(50)\\b^2=169-100+12.86b\\b^2-12.86b=69\\b^2-12.86b-69=0\\ solving\ simultaneously\ gives:\\b=16.93\ ft\)
The perimeter of the triangle is given by:
Perimeter = AB + BC + AC = 13 + 10 +16.93 = 39.93 ft ≈ 40 ft
Plss help. Look at the picture and explain the answer. I really need it
The perimeter of ΔABC is 14.35 units where O ∈ AB.
What is angle?A geometric figure known as an angle is created by two rays or lines that have a shared termination. The two rays or lines that meet at the same place are referred to as the angle's sides or legs, and the angle's common terminal is known as the vertex.
According to question:When a circle has an inscribed angle that cuts out a semi-circle, then the inscribed angle is a right angle. So m∠C = 90°
The length of AB = 2r = 2(3) = 6 units
By using law of Sines,
cos A / cos C = AC/AB
AC = cos(35/90)(AB)
AC = cos (35/90)(6) = 4.91 units
sin(35/90) = BC/AB
BC = sin(35/90)(6) = 3.44 units
Perimeter of ΔABC = AB + BC + AC
= 6 + 3.44 + 4.91
= 14.35 units
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a paddle wheel on a boat is 4 feet in diameter. the fins along the outer edge travel at a speed of 1.3 feet per second. how long does it take the paddle wheel to complete 100 full revolutions ? round to the nearest second.
_ minutes and _ seconds.
Answer: To find out how long it takes the paddle wheel to complete 100 full revolutions, we need to calculate the circumference of the paddle wheel and divide that by the speed at which the fins along the outer edge are traveling.
The formula for the circumference of a circle is:
C = 2πr
where C is the circumference and r is the radius of the circle.
The radius of the paddle wheel is 2 feet (the diameter of 4 feet divided by 2), so the circumference is:
C = 2π * 2 = 8π feet
To find out how long it takes the paddle wheel to complete 100 full revolutions, we divide the number of feet traveled in one revolution (the circumference of 8π feet) by the speed at which the fins are traveling (1.3 feet per second):
100 * 8π feet / 1.3 feet per second = 615.38 seconds
Rounded to the nearest second, it takes approximately 615 seconds for the paddle wheel to complete 100 full revolutions.
If you mix red and white paint in different ratios, you will get different shades of pink paint. If the ratios are equivalent, the shades of pink will be the same. ◦ Mai mixed a batch of pink paint using 5 cups of red paint and 3 cups of white paint. ◦ Priya mixed another batch of pink paint using 7 cups of red paint and 4 cups of white paint. Are these two batches the same shade of pink? Explain.
Answer:
No,
Step-by-step explanation:
be a light pink and one would be a darker shade of pink.because
The given two batches doesn't have the same shade of pink because the proportion of 7 cups of red : 4 cups of white is greater than 5 cups of red : 3 cups of white.
What is proportion?A proportion is an equation in which two ratios are set equal to each other. In simple words, equivalent fraction are called as proportions.
Now it is given that,
Mai's pink contains- 5 cups of red paint and 3 cups of white paint
So, Ratio of red : white = 5 : 3
⇒ 5/3 = 1.67
Priya;s pink contains- 7 cups of red paint and 4 cups of white paint
So, Ratio of red : white = 7 : 4
⇒ 7/4 = 1.75
Thus, the proportion of 7 : 4 > 5 : 3
Thus, the given two batches doesn't have the same shade of pink because the proportion of 7 cups of red : 4 cups of white is greater than 5 cups of red : 3 cups of white.
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