m = 133°
Step-by-step explanation:
You want the value of m in the given polygon.
HeptagonThe sum of interior angles in a heptagon is (7 -2)(180°) = 900°.
This fact is used to find the value of m:
138 +106 +(m -9) +m + 133 +120 +(m +13) = 900
3m = 399 . . . . . . . subtract 501
m = 133 . . . . . . . . divide by 3
The value of m is 133°.
__
Additional comments
We suspect your answer will be just the numerical value.
An n-sided polygon has a sum of angles equal to (n -2)(180°).
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This scatter plot provides data on the amount of money four different blockbuster films made in the first six weekends they were shown. Based on the fitted curve, approximately how many millions of dollars should a similar new blockbuster expect to make in the first four weekends?
A scatterplot is used to present information.
What is a scatterplot?A scatterplot is a graph which has two axes and two variables are plotted on the different axes. A scatter plot is very important in presenting information.
The scatterplot is not shown here hence extrapolations and numerical answers can not be obtained.
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find the distaance between the points (-5,7) and (-5,2)
Answer: The distance between these two points is 5.
Step-by-step explanation:
Yay! Love doing distance formula questions!
Okay, so first off, the distance formula goes as follows:
d = \(\sqrt(x^{2} - x^1)^2 + (y^{2}-y^1)^2\)
Basically you just plug in your coordinates to the formula.
Step 1:
\(\sqrt(-5 + 5)^{2} + (2-7)^{2}\)
Step 2: Distribute the exponent to both parenthesis to get \(\sqrt{25}\).
Step 3: Factor the number, which would result in \(\sqrt{5^2}\).
As a result of this, your answer would be 5.
If you deposit $1,000 every year in 20 years in a savings account that earns 7% compounded yearly. What is the future value of this series at year 20 if payments are made at the beginning of the period? $60,648.57 $43,865.18 $65,500,45 $40,995.49 If you deposit $3,000 every year for 15 years at an APR of 9% compounded monthly, what would be the future value at the end of this series? $90,757,36 $39,360.46 549,360,46 598,393,95 At what interest rate should you invest $1000 today in order to have $2000 dollars in 10 years? 7.2% 14.9% 6.2% 10%
The future value of depositing $1,000 every year for 20 years, with payments made at the beginning of each period, at an interest rate of 7% compounded yearly, is approximately $43,865.18.
To calculate the future value of a series of deposits, we can use the formula for the future value of an ordinary annuity:
FV = P * [(1 + r)^n - 1] / r
Where:
FV is the future value
P is the periodic payment
r is the interest rate per period
n is the number of periods
In this case, the periodic payment is $1,000, the interest rate is 7% (or 0.07), and the number of periods is 20.
Plugging these values into the formula, we get:
FV = 1000 * [(1 + 0.07)^20 - 1] / 0.07
= 1000 * [1.07^20 - 1] / 0.07
≈ 1000 * [2.6532976 - 1] / 0.07
≈ 1000 * 1.6532976 / 0.07
≈ 43,865.18
Therefore, the future value of this series after 20 years would be approximately $43,865.18.
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11. Angle C and Angle D are supplementary angles.
If
M angle D is nine less than twice m Angle C, find
m angle D.
Answer:
HiStep-by-step explanation:
J
Determine the equation of the circle graphed below
Answer:
(x-6)^2+(y-4)^2=10
Step-by-step explanation:
use the equation of a circle ( x- x coordinate of center)^2+(y-y coordinate of the center)^2=radius squared.
to solve for the radius, make a right triangle from the center to the point on the circle. 1^2+3^2=r^2. So r^2 is 10
Can someone help me wit da question listed in da picture?
Answer:
Add 8 to both sides
Step-by-step explanation:
Normally after adding 8 to both sides you'd solve for x by then dividing by -5, but they just want u to explain what to do lol.
which set of numbers can represent the side lengths, in millimeters, of an obtuse triangle?8, 10, 149, 12, 1510, 14, 1712, 15, 19
The correct option is option( A).
Using the property of Obtuse Triangle, the triangle with sides { 8, 10, 14 } is an Obtuse Triangle.
Obtuse Triangle:
An obtuse triangle is a triangle with one interior angle greater than 90 degrees. In geometry, a triangle is represented as a closed 2D figure with three sides of equal or unequal length and three angles of equal or unequal measurements.
Obtuse triangle property:
The longest side of the triangle is opposite the obtuse angle.A triangle can have only one obtuse angle.The sum of the other two angles of an obtuse triangle is always less than 90°.In an obtuse triangle, the sum of the squared lengths of the two short sides is less than the squared length of the longest side.we have given the sides of triangle so, we use the fourth property for check the triangle formed by given sides are obtuse triangle or not .
8² + 10² = 164; 14² = 196 -> obtuse
9² + 12² = 225; 15² = 225 -> not obtuse
10² + 14²= 296 ; 17²= 289 --> not obtuse
12² + 15² = 369; 19²= 361 --> not obtuse
Hence, the required triangle is triangle with sides 8, 10, 14.
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Complete Question:
which set of numbers can represent the side lengths, in millimeters, of an obtuse triangle
A. 8, 10, 14
B. 9, 12, 15
C. 10, 14, 17
D. 12, 15, 19
Answer: the answer is A 8, 10, 14.
Step-by-step explanation: it show below.
In how many ways can we select a committee of four Republicans, three Democrats, and two Independents from a group of 10 distinct Republicans, 12 distinct Democrats, and four distinct Independents? In the Maryland Lotto game, to win the grand prize the contestant must match six distinct numbers 1 through 49 randomly drawn by a lottery representative. What is the probability of choosing the winning numbers?
The probability of choosing the winning numbers is 7.151 × 10^-8.
The number of ways we can choose a committee of four Republicans, three Democrats, and two Independents from a group of 10 distinct Republicans, 12 distinct Democrats, and four distinct Independents is 1681680 ways.
The formula for counting the number of ways of choosing r things from n distinct objects is given by;_nCr_ = n!/(r!(n-r)!)where ! is factorial notation.The number of ways of choosing four Republicans out of the ten is 10C4 = 210.The number of ways of choosing three Democrats out of the twelve is 12C3 = 220.The number of ways of choosing two Independents out of the four is 4C2 = 6.By the Multiplication Principle, the number of ways of selecting the committee is the product of the ways of choosing each group. That is, we have;210*220*6 = 1681680
Therefore, the number of ways we can select a committee of four Republicans, three Democrats, and two Independents from a group of 10 distinct Republicans, 12 distinct Democrats, and four distinct Independents is 1681680 ways.For the probability of choosing the winning numbers,The number of possible outcomes in which we can choose 6 numbers from 49 is _49C6_ .The number of successful outcomes, i.e., the number of ways we can choose 6 numbers that match the winning numbers is one. Therefore, the probability of choosing the winning numbers is 1/_49C6_.This is equal to;1/(49! / (6!(49-6)!))1/(13,983,816) = 7.151 × 10^-8.
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Tính:
(1/27)^2016*27^2015
Answer:
1/27
Step-by-step explanation:
(1/27)^2016*27^2015 =
27^-2016 * 27^2015 =
27^(-2016+2015) =
27^-1 =
1/27
Write the algebraic expression
Answer:
x times 9
Step-by-step explanation:
A number = x
And 9 means x times 9
If this helps please mark as brainliest
Answer:
I had this on my test its A
Step-by-step explanation:
whats the answer to these
Answer:
(i) 22 - (-23) = 45
(ii) √324 = 18
a^15/a^5=a^10 true or false
Answer:
true
Step-by-step explanation:
a^15 ÷ a^5 = a^10
a÷a = a
15- 5 =10
give brainliest please I need it to level up
Answer:
True
Step-by-step explanation:
Using the rule of exponents
\(\frac{a^{m} }{a^{n} }\) = \(a^{(m-n)}\) , then
\(\frac{a^{15} }{a^{5} }\)
= \(a^{(15-5)}\)
= \(a^{10}\)
Which expression is represented by this model?
The expression that represents the shaded region is 1/4
How to determine the expression?The figure represents the given parameter
From the figure, we can see that:
The complete figure is a circlePart of it is shadedThe remaining part is unshadedFrom the figure, we can also see that:
Shaded region = 1/4 of the whole circle
In this case, we set the whole circle to 1
So, we have
Shaded region = 1/4 of 1
Rewrite as
Shaded region = 1/4 x 1
Evaluate
Shaded region = 1/4
Hence, the expression of the shaded region is 1/4
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what is limit definition of a derivative?
The limit definition of a derivative is a mathematical method used to calculate the instant rate of change of a characteristic at a particular point. it is based at the idea of the limit of a function because the input techniques a certain cost.
The limit definition of a derivative is expressed as follows:
\(f'(x) = lim (h → 0) [f(x + h) - f(x)] /h\)
Wherein f'(x) represents the derivative of the function f(x) at a particular factor x. The expression \(( f(x + h) - f(x)) / h\) represents the common price of alternate of the characteristic over a small interval of size h, focused at x. The limit of this expression as h approaches 0 represents the instant fee of change of the characteristic at x, or the slope of the tangent line to the function at that factor.
The limit definition of a derivative is a fundamental concept in calculus and is used to calculate the slopes of tangent lines, to find maximum and minimum factors, and to clear up optimization issues in a huge variety of packages.
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• I am thinking of a number with 5 digits.
• The tens place has a value of 70.
• There are 9 ten thousands in this number
• The ones place has 3 ones.
• It would take 80 tens to model the value in the hundreds place.
• The value of the digit in the thousands place is four thousand.
What is my number?
Answer:
94,873
Step-by-step explanation:
Answer:94879
Step-by-step explanation:
A store sells boxes of juice is equal size packs. Garth bought 18 boxes, Rico bought 36 boxes and Mia bought 45 boxes. What is the greatest number of boxes in each pack? How many packs did each person buy if each box contained the greatest number of boxes?
Answer:29160
Step-by-step explanation:
A = 64 cm
ABC
A = 225 cm
In the diagram, how would you determine the length of the hypotenuse using the Pythagorean Theorem?
А
Find the area of the triangle then apply Pythagorean Theorem
B
Subtract the area of the squares and then apply Pythagorean Theorem
С
Add the areas of both squares together and then apply Pythagorean Theorem
D
Find the lenath of one side of each square and then apply the Pythagorean Theorem
Answer:
The hypotenuse formula is simply taking the Pythagorean theorem and solving for the hypotenuse, c.
Step-by-step explanation:
Solving for the hypotenuse, we simply take the square root of both sides of the equation a² + b² = c² and solve for c . When doing so, we get c = √(a² + b²)
The length of the hypotenuse is 17 cm and this can be determined by evaluating the length of one side of each square and then applying the Pythagorean Theorem.
Given :
Area of the small square is 64 \(\rm cm^2\).Area of the larger square is 225 \(\rm cm^2\).The side length of the smaller square can be calculated as:
\(a^2 = 64\)
a = 8
The side length of the larger square can be calculated as:
\(b^2 = 225\)
b = 15
So, the length of the perpendicular is 8 and the length of the base is 15. Now, apply the Pythagorean theorem in order to determine the length of the hypotenuse.
\(\rm H^2=P^2+B^2\)
Now, substitute the values of known terms in the above expression.
\(\rm H^2=(8)^2+(15)^2\)
\(\rm H = \sqrt{64+225}\)
H = 17 cm
Therefore, the correct option is D) Find the length of one side of each square and then apply the Pythagorean Theorem.
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THIS IS FAIRLY EASY BUT I NEED HELP STAT
Answer:
Step-by-step explanation:
Not sure if you need to show work.
Select the sequence that shows the numbers in order from least to greatest.
A. √72, 321-41
5
c. 32. √72.1-41
C.
5
B. |–-41, 32 √72
32
D. √72,|-41, ³²
5
The sequence that shows the numbers in order from least to greatest is
√72 , 5,32, |-41|
What is basic algebra ?Algebra is a branch of mathematics that helps translate real-world problems or situations into mathematical formulas. Mathematical operations like addition, subtraction, multiplication, and division as well as variables like x, y, and z are needed to construct a valid mathematical expression. Coordinate geometry, calculus, and trigonometry are just a few of the mathematics topics that involve algebra. A simple algebraic equation is 2x + 4 = 8. Algebraic expressions are the result of performing operations on variables and constants, such as addition, subtraction, multiplication, division, etc.
√72 = 8.485
32
|-41| = 41
5
least to greatest is √72 , 5,32, |-41|
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Which statement about nuclear fission is correct?(1 point)
Responses
Nuclear fission takes place in the nucleus of atoms.
Nuclear fission is used to generate water at nuclear power plants.
The fuel for nuclear fission is often helium.
Nuclear fission releases small amount of energy.
Answer:
(A) Nuclear fission takes place in the nucleus of atoms
Step-by-step explanation:
I took the test!
A city currently has 60 family-owned restaurants. In the future, it is estimated that the number of those restaurants will decline at a rat of 18% per year. Based on that estimate, what is the fewest number of years it will take for there to be less than 20 family-owned restaurants in the city? A.1 B. 3 C. 4 D. 6
The correct answer is D. 6
Explanation:
To know precisely how the number of restaurants in the city decreases over time, it is necessary to determine the 18% of the total of restaurants each year and to subtract this number. The process year per year is shown below:
First-year- 60 restaurants- Find the percentage by writing the known value and using cross multiplication
\(60 = 100\) %
\(x = 18\)%
\(x 100 = 60 x 18\)
\(x = \frac{1080}{100}\)
\(x = 10.8\) Number of restaurants that were closed
\(60-10.8 = 49.2\) New total
Second-year - 49.2 restaurants- Repeat te process
\(x = \frac{49.2x 18}{100}\) Shortened version of the equation. Total of restaurants, multiplied by percentage and divided into 100 (total percentage)
\(x = 8.8\)
\(49.2 - 8.8 = 40.4\) New total
Third-year- 40.4 restaurants
\(x = \frac{40.4 x 18}{100}\)
\(x = 7.2\)
\(40.4-7.2 = 33.2\) New total
Fourth-year- 33.2 restaurants
\(x = \frac{33.2x 18}{100}\)
\(x = 6.3\)
\(33.2- 6.3= 26.9\) New total
Fifth-year- 26.9 restaurants
\(x = \frac{26.9 x 18}{100}\)
\(x = 4.8\)
\(26.9-4.8 = 22.1\) New total
Sixth-year- 22.1 restaurants
\(x = \frac{22.1x 18}{100}\)
\(x= 3.96\)
\(22.1-3.9 = 18.1\)
According to this at this rate, it will take at least 6 years for the number of restaurants to be below 20.
The sizes of the interior angles of a triangle are in the ratio 1:3:8
Calculate the difference in size between the largest and smallest angles?
Answer:
3:9:24
Step-by-step explanation:
Answer:
105
Step-by-step explanation:36:10:1
help asap
A particle moves along the x-axis with velocity v(t)=t-cos(t) for t20 seconds. A) Given that the position of the particle at t=0 seconds is given by x(0)-2. Find x(2), the position of the particle at
After integrating, the position function is: x(t) = (1/2)t^2 - sin(t) - 2, position of the particle at t = 2 seconds is -sin(2)
To find the position of the particle at t = 2 seconds, we need to integrate the velocity function v(t) = t - cos(t) with respect to t to obtain the position function x(t).
∫v(t) dt = ∫(t - cos(t)) dt
Integrating the terms separately, we have:
∫t dt = (1/2)t^2 + C1
∫cos(t) dt = sin(t) + C2
Combining the integrals, we get:
x(t) = (1/2)t^2 - sin(t) + C
Now, to find the constant C, we can use the initial condition x(0) = -2. Substituting t = 0 and x(0) = -2 into the position function, we have:
x(0) = (1/2)(0)^2 - sin(0) + C
-2 = 0 + C
C = -2
Therefore, the position function is:
x(t) = (1/2)t^2 - sin(t) - 2
To find x(2), we substitute t = 2 into the position function:
x(2) = (1/2)(2)^2 - sin(2) - 2
x(2) = 2 - sin(2) - 2
x(2) = -sin(2)
Hence, the position of the particle at t = 2 seconds is -sin(2).
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Find the mean, median, mode, and range of the data set.
16, 18, 14, 3, 11, 1, 18
Answer:
Mean: 11.6
Median: 14
Mode: 18
Range: 17
Step-by-step explanation:
Mean: add all of the numbers and divide by how many numbers there are
Median: Arrange the data in an ascending order and the median is the middle value. If the number of values is an even number, the median will be the average of the two middle numbers.
Mode: the number that occurs the most
Range: Subtract the minimum data value from the maximum data value to find the data range. In this case, the datarange is 18−1=17
list five perfect squares.
Perfect squares are numbers gotten by squaring whole numbers. Therefore, 5 exmaples of perfect squares are
4(2^2)
9(3^3)
16(4^4)
25(5^5)
49(7^7)
So 5 perfect squares are 4, 9, 16, 25, 49
how many differen ingrediants will yo need for the cake and frosting?1011121314
We need approximately 12 different ingredients for the cake and frosting.
To answer your question on how many different ingredients you will need for the cake and frosting, I'll provide a basic list of ingredients for both. Keep in mind that this is just a general list, and the number of ingredients may vary depending on the specific recipe you choose.
For the cake, you'll typically need:
1. Flour
2. Sugar
3. Baking powder
4. Salt
5. Butter or oil
6. Eggs
7. Milk or water
8. Vanilla extract
For the frosting, you'll usually need:
1. Butter or cream cheese
2. Powdered sugar
3. Milk or cream
4. Vanilla extract
In total, you'll need approximately 12 different ingredients for the cake and frosting.
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KEVI is an isosceles trapezoid.
If KN 10, NV = x, and IE = 2x+6,
what is the length of KV?
Answer:
14
Step-by-step explanation:
A trapezoid is a quadrilateral (has four sides and four angles) with a pair of opposite parallel sides. The pair of opposite parallel side is known as the base.
An isosceles trapezoid is a trapezoid with equal legs. The diagonals are also equal and both the upper and lower base angles are congruent.
From the question:
KV = IE = 2x + 6 (diagonals of a trapezoid are congruent)
From line segment addition postulate:
KV = KN + NV
substituting:
2x + 6 = 10 + x
2x + 6 - x = 10
x + 6 = 10
x = 10 - 6
x = 4
KV = 2x + 6
substituting x = 4:
KV = 2(4) + 6
KV = 14
Simplify this expression.
–6w + (–8.3) + 1.5+ (–7w)
The simplified form of the expression -6w + (–8.3) + 1.5+ (–7w) is -13w - 6.8.
What is the simplified form of the expression?Given the expression in the question;
-6w + (–8.3) + 1.5+ (–7w)
To simplify, first remove the parenthesis
Note that;
- × + = -- × - = ++ × + = +-6w + × - 8.3 + 1.5 + × - 7w
-6w - 8.3 + 1.5 - 7w
Next collect and add like terms
-6w - 7w - 8.3 + 1.5
Add -6w and -7w
-13w - 8.3 + 1.5
Add -8.3 and 1.5
-13w - 6.8
Therefore, -13w - 6.8 is the simplified form.
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What is the value of K roots of a quadratic equation?
When k is o doesn't satisfy the equation.
What is quadratic equation?We can answer any quadratic equation using the quadratic formula. The first step is to change the equation's form to ax2+bx+c=0, where a, b, and c are the coefficients. The formula (-b(b2-4ac))/(2a) is then used to enter these coefficients. A quadratic equation is a second-order polynomial equation in one variable using the formula x = ax2 + bx + c = 0 and a 0 The fundamental theorem of algebra ensures that it has at least one solution because it is a second-order polynomial problem. Real or complex solutions are also possible. To put it another way, if you have an equation with the form a squared by the expression after b plus b squared by the same expression but not squared plus c equal to 0, you have a quadratic equation.Value of \($\mathrm{k}=(?)$\), equation \($\mathrm{kx}(\mathrm{x}-2)+6=0$\) has equal roots.
\(& \Rightarrow \mathrm{kx}(\mathrm{x}-2)+6=0 \\\)
\(& \mathrm{kx} x^2-2 \mathrm{kx}+6=0 \\\)
two roots of quadratic equation
\(& \alpha, \beta= \frac{-\mathrm{b} \pm \sqrt{\mathrm{b}^2-4 \mathrm{ac}}}{2 \mathrm{a}} \\\)
\(& \alpha, \beta= \frac{+2 \mathrm{k} \pm \sqrt{(-2 \mathrm{k})^2-4 \times 6 \times \mathrm{k}}}{2 \times \mathrm{k}} \\\)
\(& \alpha, \beta=2 \mathrm{k} \frac{\pm \sqrt{4 \mathrm{k}^2-24 \mathrm{k}}}{2 \mathrm{k}} \\\)
\(\alpha=\beta \\\) The roots are qual
\(& \Rightarrow \frac{2 \mathrm{k}+\sqrt{4 \mathrm{k}^2-24 \mathrm{k}}}{2 \mathrm{k}}=\frac{2 \mathrm{k}-\sqrt{4 \mathrm{k}^2-24 \mathrm{k}}}{2 \mathrm{k}} \\\)
\(& \Rightarrow 2 \sqrt{4 \mathrm{k}^2-24 \mathrm{k}}=0 \\\)
\(& \Rightarrow 4 \mathrm{k}^2-24 \mathrm{k}=0 \\\)
\(& \Rightarrow 4 \mathrm{k}(\mathrm{k}-6)=0 \\\)
\(& \Rightarrow \mathrm{k}=0 \text { or } \mathrm{k}=6\)
\($\Rightarrow \mathrm{k}=6[\because \mathrm{k} \equiv 0]$\) as\($\mathrm{k}=0$\) doesn't satisfy the equation.
The complete question is,
For what value of \($\mathrm{k}$\), are the roots of the quadratic equation, \($\mathrm{kx}(\mathrm{x}-2)+6=0$\) equal?
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Help pls I put in a photo
Answer:
m∠D = 49°
m∠E = 41°
m∠F = 90°
Step-by-step explanation:
We know a triangle's angles add up to 180, so we can create an equation and solve for x. We also know the little box represents 90 degrees.
Given:
90° + 5x° + 14° + 3x° + 20° = 180°
Combine like terms:
8x° + 124° = 180°
Subtract 124 from both sides of the equation:
8x° = 56°
Divide both sides of the equation by 8:
x = 7
Now, we will plug this value of x back into the angles to solve. Again, the little box represents that Angle F is equal to 90 degrees.
m∠D = 5x° + 14° = 5(7)° + 14° = 49°
m∠E = 3x° + 20° = 3(7)° + 20° = 41°
m∠F = 90°