Answer:
-7
Step-by-step explanation:
-3-4=-7
:]
Answer:
-7
Step-by-step explanation:
Given: GC bisects FGH. Determine the missing measurea. m
a. Since GC bisects FGH and the angle FGH = 122°, we know that the angle FGC = 122/2 = 61°
b. Since GC bisects FGH and the angle CGH = 42°, we know that the angle FGH = 2*42 = 84°
Writing out and solving inequalities a number divided by three less two is at most two
The inequlaity is ;
[tex]\begin{gathered} \frac{x}{3\text{ }}\text{ - 2}\leq2 \\ \end{gathered}[/tex]
And the solution is;
[tex]x\text{ }\leq\text{ 12}[/tex]
Let the number be x
The number divided by 3
That is x/3
less two means minus 2
x/3 - 2
Is at most 2 means it is less than or equal to 2
so the inequality is;
[tex]\begin{gathered} \frac{x}{3}\text{ - 2}\leq\text{ 2} \\ \\ \text{Solving the inequality, we have} \\ \\ \frac{x}{3}\text{ }\leq\text{ 2 + 2} \\ \\ \frac{x}{3}\text{ }\leq\text{ 4} \\ \\ x\text{ }\leq\text{ 3 }\times\text{ 4 } \\ x\text{ }\leq\text{ 12} \end{gathered}[/tex]What is the place value of the 6-digit in the number 205.876?
The place value of 6 in 205.876 is 6 thousandth
Help me asp please!!
It is an ongoing function. A function from a set X to a set Y assigns exactly one element of Y to each element of X. The set X is known as the function's domain, and the set Y is known as the function's codomain.
What is function?In mathematics, a function is an expression, rule, or law that defines a connection between one variable (the independent variable) and another variable (the dependent variable).A function is defined as a relationship between a set of inputs and one output for each. A function is an input-output relationship in which each input corresponds to exactly one output.Every function has a domain and a codomain, as well as a range. In general, a function is denoted by f(x), where x is the input. A function is a type of rule that produces one output for one input. Alex Federspiel provided the image. y=x2 is an example of this.To learn more about function, refer to:
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Write a function to model the geometric sequence in the table. n: (1 2 3 4 5)a: (75 15 3 3/5 3/25)a) f(n) = 75 (1/5) nb) f(n) = 75 (1/5) n-1c) f(n) = 1/5 (75) nd) f(n) = 1/5 (75) n-1
First let's find the ratio of the sequence, by dividing one term by the term before:
[tex]\begin{gathered} \text{second term: 15} \\ \text{first term: 75} \\ ratio=\frac{15}{75}=\frac{1}{5} \end{gathered}[/tex]So the ratio is 1/5 and the first term is 75.
Now, we can use the following formula for the nth term of a geometric sequence:
[tex]a_n=a_1\cdot q^{n-1}[/tex]Where q is the ratio and a1 is the first term. So we have:
[tex]a_n=75(\frac{1}{5})^{n-1}[/tex]Substituting an by the function f(n), we have:
[tex]f(n)=75(\frac{1}{5})^{n-1}[/tex]So the correct option is b)
The waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between 0 and 6 minutes. Find the probability that a randomly selected passenger has a waiting time 3.25 minutes.
Main Answer: The probability that a randomly selected passenger has a waiting time greater than 3.25 minutes is 0.59375.
Explaination:
Calculation of the probability:
Since The waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between 0 and 8 minutes.
So, here the probability is
= 0.59375
Hence, The probability that a randomly selected passenger has a waiting time greater than 3.25 minutes is 0.59375
hello can you help me to understand this. 4 (18) it's 2 dots (19) 3 dots (20) 6 dots (21) 4 dots (22) 1 dots (23) 1 dot (24) ??? I don't get it
Explanation
to plot this, you need to count the numbers of weigth for that number, for example
for 18
count in the table all the 18
you will get 18 is 2 times in the table (2)
now, for 19
count the number of 19's in the table 3
and so on
Step 1
then, for 24
total = 0
so, as we have not 24 as a data, there is not need to plot it
I hope this helps you
The equation y = - 50x + 2000 represents thenumber of people attending a movie where xrepresents the number of weeks since the movierelease and y represents the number of people inthe theater.In the equation, what does the y-interceptindicate?A. Two thousand people attend the theater duringthe week of a movie's release.B. Every week 50 less people attend the movietheater.C. During a movie's release week, the movietheater will make $2,000.D. Every week the movie is open, the movie theaterloses $50.
two thousand people attend the theater during the week of a movie's release (option A)
Explanation:The equation:
y = -50x + 2000
y = number of people in the theater
x = number of weeks since the movie release
2000 will be the number of people in the theater at the begining of the movie release
y-intercept of an equation represent the value of y when x is zero
The 2000 is the number of people in the theater at week zero.
Hence, y-intercept indicate two thousand people attend the theater during the week of a movie's release (option A)
Create a data set that has 4 values with a mode of 3, a median of 6, and a meanof 10
We are to create a data set of 4
that is a, b, c, d
mode means a number that occur the most
Median means the middle number
Mean means the average number
in the set, we must have a mode of 3
3, 3,
to get a median of 6, we need a number when we add to three and divide by 2 will give us 6
the number is 9
3 + 9 / 2
12/ 2 =
3, 3 , 9, d
the last number is d and it is unknown
since means is 10
mean = summation of all the numbers in the data set / the total number
the total number is 4
mean = 10
10 = 3 + 3 + 9 + d / 4
cross multiplication
10 x 4 = 3 + 3 + 9 + d
40 = 6 + 9 + d
40 = 15 + d
isolate d
d = 40 - 15
d = 25
therefore, the data set with a mode of 3, median of 6 and a mean of 10 are
3 , 3 , 9, 25
The probability of a student eating at the cafeteria and a student living off campus is 0.07, and the probability of a student eating at the cafeteria given that the student lives off campus is 0.20, what is the probability of a student living off campus?
The probability of a student living off campus is 0.35.
What is the probability?It should be noted that probability simply means the likelihood that something will occur.
Remember the multiplication rule for conditional probability: P(B AND A)=P(B/A)P(A)
Rearranging, we find that P(A)=P(B AND A)P(B/A)
So if we think of A= the event a student lives off campus and B = event a student eats at the cafeteria, then we can plug in the known information to find:
P(A)=0.07 / 0.20
= 0.35
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First person to help gets brainliest!!
What is the solution to the given equation?
x= 20
How is the equation in the bar diagram solved?
3.5x + 12.5x =320
16x = 320
x = 20
What is a bar diagram?
A bar graph or chart displays categorical data using rectangular bars with heights or lengths proportional to the values they represent.Both vertical and horizontal plots of the bars are possible. Column charts are another name for vertical bar charts. Comparisons between distinct categories are shown in a bar graph. The chart's two axes, one for measured value and the other for the specified categories under comparison, are shown. In certain bar graphs, clusters of multiple bars that represent the values of multiple measured variables are clustered together.To learn more about solving equations, refer:
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this. this is sucking my soul away.
Check the picture below.
let's recall that twin sides stemming from a common vertex, make twin angles at the base.
Suppose a diver jumps from a ledge that is 115 feet above the ocean and the initial upward velocity is 8 feet per second. The vertical motion of the diver can be modeled by the function h = −t^2 + 8t + 115. How long will it take until the diver enters the water? How do you know?
The given function of the height of the diver is
[tex]h=-t^2+8t+115[/tex]h is the height in feet
t is the time in seconds
To find the time for the whole motion equate h by 0, as when the diver inter the water his jumper height will be zero. (The surface of the water is the initial position)
[tex]0=-t^2+8t+115[/tex]Switch the 2 sides and change all signs to opposite
[tex]t^2-8t-115=0[/tex]Now, we have a quadratic equation, then we will use the calculator to find the values of t
[tex]\begin{gathered} t=15.44552314 \\ \\ t=-7.445523142 \end{gathered}[/tex]Since time can NOT be a negative value, then we will ignore the 2nd value of t
The answer should be about 15.44 seconds to the nearest 2 decimal place
- 1/2 + 5/9 someone help
everything u need id in the picture
If tan thita= 1/(root3) , then sin thita =? answer should be 1/2 according to book. please give solve
hope you understand from the image...
:-)
Look at the figure below:If siny - and tan yo =9-what is the value of cos yº? O cos y 90cos yOcos yO cos y® - 90
The trigonometric functions tangent, sine and cosine are related by the following equation:
[tex]\tan \theta=\frac{\sin \theta}{\cos \theta}[/tex]In this case, the angle is y°, so:
[tex]\tan y\degree=\frac{\sin y\degree}{\cos y\degree}[/tex]Since we want the cosine, we can solve for it ans substitute the given tangent and sine:
[tex]\cos y\degree=\frac{\sin y\degree}{\tan y\degree}=\frac{\frac{9}{c}}{\frac{9}{d}}=\frac{9}{c}\cdot\frac{d}{9}=\frac{d}{c}[/tex]This corresponds to the third alternative.
1936 divided by 8 in long division
The value of 1936 divided by 8 in long division is 242.
What is long division?Long Division is a method for dividing large numbers that divides the task into numerous phases that follow a sequence. Just like in conventional division problems, the dividend is divided by the divisor, yielding the quotient and, in some cases, a remainder.
The steps are:
Step 1: Take the first digit of the dividend from the left.
Step 2: Then divide it by the divisor and write the answer on top as the quotient.
Step 3: Subtract the result from the digit and write the difference below.
Step 4: Bring down the next digit of the dividend
Using the above step the division is 242.
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One weekend 5,780 people saw a new movie at (7 different theaters. Each theater sold tickets at ($7.50 a piece. If each theater received the same number of moviegoers, how much did each theater make?
Each theater sold tickets at ($7.50 a piece, if each theater received the same number of moviegoers, each theater make $6192.85 using arithmetic operations.
What are arithmetic operations?The four basic operations of arithmetic can be used to add, subtract, multiply, or divide two or more quantities. They cover topics like the study of numbers and the order of operations, which are relevant to all other areas of mathematics including algebra, data processing, and geometry. Without applying the laws of arithmetic operations, we are unable to solve the issue. The four fundamental rules of mathematics are addition, subtraction, multiplication, and division.
Let the amount of each theater get be x,
No. of theaters are = 7
Cost of each ticket = $7.50
No. of people = 5780
Then we can say,
7x = 5780 ×7.50
x = [tex]\frac{5780\times7.50}{7}[/tex]
= $6192.85
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Solve for brainliest and 20 points please
Answer:
C.
Step-by-step explanation:
540
Answer:
540
Step-by-step explanation:
you can use this equation to find the sum of angles for a shape
(n-2)180 with n being the number of sides. Since a pentagon has 5,
its 5-2= 3 then times 180 is 540
After making your 20th payment of $524.50 on your car loan, you wanted to find out how much is left of your original 5 years loan at 6.2% compounded monthly of $27,000.00. What is the amount of the remaining balance of your car loan?
The amount of the remaining balance of the car loan is $26293.1103.
Given,
The initial loan amount, P = 27000
The rate of interest, r = 6.2%
Time period, t = 5 years
Interest is compounded monthly.
The 20th payment of the loan = $524.50
We have to find the remaining balance of the car loan.
Here,
Amount, A = P[1 + r/n]^nt
Where,
A is the total amount = principal amount + compound interest
P is the principal amount
r is the rate of interest
n is the number of times compounded
t is the time period
So,
A = P[1 + r/n]^nt
A = 27000 × [1 + 6.2/100/12]^12 × 5
A = 27000 × [12.062/12]^60
A = 27000 × [1.005166]^60
A = 27000 × 1.362
A = 36783.1103
The total amount should be paid after 60 months is $36783.1103
Now,
The 20th payment = $524.50
That is,
524.20 × 20 = 10490
$10490 is paid and the balance amount;
36783.1103 - 10490 = 26293.1103
Therefore,
The amount of the remaining balance of the car loan is $26293.1103.
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Calculate the mean height of five men whose weight in kg are 60, 65, 71, 75 and 80
Answer:
Given the data set of height (inches) for 12 students, calculate the mean: 60, 64, 66, 68, 70, 71, 72, 73, 78, 71, 65, 69
For the following inequality, choose their equivalent interval notation. A) 0_
Recall that the symbols ≤ and ≥ in interval notation are represented by ] and [ respectively.
Also, the symbols < and > in interval notation are represented by ) and ( respectively.
Therefore:
a)
[tex]0\le x\le1[/tex]in interval notation is:
[tex]\lbrack0,1\rbrack\text{.}[/tex]b)
[tex]0in interval notation is:[tex](0,4)\text{.}[/tex]Answer:
a)
[tex]\lbrack0,1\rbrack\text{.}[/tex]b)
[tex](0,4)[/tex]What would be the first step when solving using the substitution method?
2x + 3y = -12
x = 3y + 3
The first step of substitution method for given system is put x = 3y +3 in place of x into the equation 2x+3y=-12 .
What is the method of substitution for system of equation in two variables ?The system of the equations in two variables x and y consists of two equation of the form a₁ x + b₁ y = c₁
and a₂ x + b₂ y = c₂
where a₁, a₂, b₁, b₂ , c₁, c₂ are constants
For substitution method, first expression of one variable is found from one equation and then put this expression in another equation to create a linear equation in second variable. Solve the linear equation in one variable for second variable and then put the value of second variable in first equation to solve for first variable
Given system of equations is :
2x + 3y = -12 .....(1)
x = 3y + 3 .....(2)
So the first step will be take expression for one variable from one equation and put it into another equation.
Take x = 3y +3 which is an expression for x from equation (2),
Then put it into equation (1)
⇒ 2 (3y +3 ) + 3 y = -12 , This is the first step of substitution method for this variable
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Using the midpoint and distance formulas, calculate the coordinate of the midpoint and the length of the segment.
The midpoint formula [tex]\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2}[/tex] and the length of coordinates can be determined from the formula [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex].
What are coordinates?
Coordinates are a pair of integers (Cartesian coordinates), or sporadically a letter and a number, that identify a certain place on a grid, also referred to as a coordinate plane.
The x-axis & y-axis are the two axes that make up a coordinate plane (vertical).
The coordinates of the origin, which is the location where the two axes connect, are (0, 0).
The following formula is used to determine the separation between two coordinates :
The midpoint formula [tex]\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2}[/tex] and the length of coordinates can be determined from the formula [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex].
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According to the graph, what is the temperature at the beginning of the year85 degrees60 degrees38 degrees0 degrees
From the graph
the curve start from a point close to 40
Hence at the beginning of the year January, the teperature was 38 degree
If the function h(x)=(x+7)9 is expressed in the form f∘g with f(x)=x9, find the function g(x).
Answer:
g(x) = x + 7
Step-by-step explanation:
f(x) = x^9
g(x) = x + 7
f(g(x)) = (x + 7)^9
A space shuttle is moving in a straight line and is traveling at a constant speed. It takes 3 hours to get from A to B and 1 hour to get from B to C. Relative to a suitable set of axes, A is the point (4,-1,7) and B is the point (16,-10,10). Find the coordinates of C.
We will solve as follows:
First: We will use the i, j, k vector notation to describe each point as a vector:
[tex]A=4i-j+7k[/tex][tex]B=16i-10j+10k[/tex]Now, we have that the time it takes to get from A to B is 3 hours (t1). And the time it takes from B to C is 1 hour (t2).
Second: We determine the speed from A to B:
[tex]v=\frac{B-A}{t_1}\Rightarrow v=\frac{(16-4)i+(-10+1)j+(10-7)k}{3}[/tex][tex]\Rightarrow v=\frac{12i-9j+3k}{3}\Rightarrow v=4i-3j+k[/tex]Third: We now determine the value of C:
[tex]C=B+vt_2\Rightarrow C=(16+4)i+(-10-3)j+(10+1)k[/tex][tex]\Rightarrow C=20i-13j+11k[/tex]So, we would have that the coordinates of C are:
[tex]C=(20,-13,11)[/tex]A cake of mass 550 g has three dry ingredients: flour, sugar and raisins.
There is twice as much flour as sugar and one and a half times as much
sugar as raisins. How much flour is there?
Answer:
Let flour, sugar, raisins be 3x, 1.5x, x grams respectively.
Total Mass = 550g 3x+1.5x + x = 550g
5.5x = 550 x = 100g
Flour = 3x= 3 x 100 = 300g
Hence, flour in mixture is 300g
The midpoint of AB is at ( – 5, 4). If A = (0, – 9), find B.
Point of B is ( -10 , 0) is midpoint of AB .
What is midpoint of a segment?
The midpoint of a vertical line is known as the midpoint in geometry. It is the centroid of the segment and of the ends, and it is equal to the distance from both of them. It cuts the section in half.A midpoint is the position that is in the middle or center of a line connecting two points, often referred to as endpoints. The midpoint formula can be used to determine the other midpoint given one endpoint and a midpoint.The midpoint of AB = ( – 5, 4) = ( x ,y)
A = (0, – 9) ⇒ ( x₁ , y₁)
Let B = ( x₂, y₂ )
midpoint of AB ⇒ x = x₁ + x₂/2 , y = y₁ + y₂/2
-5 = 0 + x₂/2 , -9 = -9 + y₂/2
x₂ = -10 , y₂ = 0
point of B is ( -10 , 0)
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7TH GRADE MATH, BRAINLIEST WILL BE AWARDED
Answers:
Q1.a: 11g
Q1.b: 3m
Q1.3: [tex]-k^{2}[/tex]
Q2.a: 8x + 11y
Q2.b: 2a + b - 2c
Q3.a: 5q + 7
Q3.b: 6r + 3s + 7t
Step-by-step explanation:
Q1) simplify each of these expressions:
a. [tex]4g + 6g + g[/tex]
= g(4 + 6 + 1)
= 11g
____________
b. [tex]4m - m[/tex]
= m(4 - 1)
= 3m
____________
c. [tex]5k^{2} -4k^{2} -2k^{2}[/tex]
= [tex]k^{2} (5 - 4 - 2)\\[/tex]
= [tex]-1k^{2}[/tex]
= [tex]-k^{2}[/tex]
__________________________________
Q2) copy and complete the workings to simplify these expressions:
a. [tex]5x + 3x+6y+5y\\[/tex]
= x(5 + 3) + y(6 + 5)
= 8x + 11y
____________
b.[tex]2a+4b+6c-3b-8c[/tex]
combine terms b:
2a + b + 6c - 8c
combine terms c:
= 2a + b - 2c
__________________________________
Q3) simplify these expressions by collecting like terms:
a.[tex]9q-4q+15-8[/tex]
combine terms q:
5q + 15 - 8
combine numbers:
= 5q + 7
____________
b. [tex]8r+2s+4t-2r+s+3t[/tex]
combine terms r:
6r + 2s + 4t + s + 3t
combine terms s:
6r + 3s + 4t + 3t
combine terms t:
= 6r + 3s + 7t