∠EFH and ∠HFG are complementary angles, which are two angles whose sum is exactly 90⁰, therefore:
\(\begin{gathered} m\angle EFH+m\angle HFG=90 \\ so\colon \\ 66+m\angle HFG=90 \\ m\angle HFG=90-66 \\ m\angle HFG=24^{\circ} \end{gathered}\)Elaine collects coins. At the beginning of last year, she had 76 coins but by the end of the year, she had 196 coins. Estimate how many coins she collected throughout the year by rounding to the nearest ten and then subtracting.
idek what bread is how am I supposed to explain this I just want points
what is 4000×1mil I'm stuck on it
according to goo.gle:
a service company charges a 5% service fee
Answeis is that
is that the whole qeustion
Step-by-step explanation:
where is the image
Which ratios are I proportional relationships 2 to 3 and 4 to 6
Answer:
4 - 6
Step-by-step explanation:
Answer:
8 to 12
Step-by-step explanation:
You can multiply each value in the ratio by a number. For example, I could multiply 2 to 3 by 4 and I would get 8 to 12 because 2*4=8 and 3*4=12.
A system of equations and its solution are given below. System A x + 6 y = 5 3 x − 7 y = − 35 Solution: ( − 7 , 2 ) Choose the correct option that explains what steps were followed to obtain the system of equations below. System B x + 6 y = 5 − 25 y = − 50 A. To get system B, the second equation in system A was replaced by the sum of that equation and the first equation multiplied by -3. The solution to system B will be the same as the solution to system A. B. To get system B, the second equation in system A was replaced by the sum of that equation and the first equation multiplied by 3. The solution to system B will not be the same as the solution to system A. C. To get system B, the second equation in system A was replaced by the sum of that equation and the first equation multiplied by 7. The solution to system B will not be the same as the solution to system A. D. To get system B, the second equation in system A was replaced by the sum of that equation and the first equation multiplied by -5. The solution to system B will be the same as the solution to system A.
To get system B, the second equation in system A was replaced by the sum of that equation and the first equation multiplied by -3. The solution to system B will be the same as the solution to system A.
What is Linear equation ?
Linear equation can be defined as the equation in which the highest degree is one.
First equation of system A multiplied by -3:
(-3)(x+6y=5)
(-3)(x)+(-3)(6)=(-3)(5)
-3x-18=-15
Sum of the second equation of system A and the first equation multiplied by -3:
(-3x-18)+(3x-7y)=(-15)+(-35)
-3x-18+3x-7y=-15-35
-25y=-50
System B
x+6y=5
-25y=-50
Hence, To get system B, the second equation in system A was replaced by the sum of that equation and the first equation multiplied by -3. The solution to system B will be the same as the solution to system A.
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20 points Please help me match the equation with the method ty
Answer:
a. Substitution method.
b. Elimination method.
c. Graph method.
Step-by-step explanation:
Given the following algebraic expressions;
a. y = 3x + 10 ....... equation 1
2x - 4y = -6 ...... equation 2
The above would be solved using substitution method.
Substituting eqn 1 into eqn 2, we have;
2x - 4(3x + 10) = -6
2x - 12x - 40 = -6
-10x = -6 + 40
-10x = 34
x = 34/10
x = 3.4
y = 3x + 10 = 3*3.4 + 10
y = 10.2 + 10 = 20.2
b. 9x + 2y = 29 ...... equation 1
3x - 2y = -17 ...... equation 2
The above would be solved using elimination method.
Adding eqn 1 to eqn 2, we have;
(9x + 3x) + (2y + (-2y)) = (29 + (-17))
12x + 0 = 12
12x = 12
x = 12/12 = 1
To find y, from eqn 1;
9(1) + 2y = 29
2y = 29 - 9
2y = 20
y = 20/2 = 10
c. y = 3/2x - 5
y = 2x + 8
The above would be solved using a graph method.
You choose a range for the value of y and x. These values are then plotted against each other and the slope of the graph is determined.
Last week, a florist sold 715 roses. Of the
roses sold, 7 out of every 11 roses were
red. How many red roses did she sell?
2. Which of the following pairs of expressions contain like terms? a. xy and x + y b. –8a and a c. a2 and 2a d. cd and dc
Now, I'm not sure what you mean exactly by like terms, but I'll just tell you what I think abouth the equations...
Answer:
A. x times y and x plus y
Now, these are different equations, b/c one is multiplying and the other is adding
B. -8a and a
The first is -8 times a, and the second is just a
C. a times two and two times a
These are exactly the sam equation, just flipped around
D. c times d and d times c
These are exactly the same equation, just flipped around
Answer:
a. Unlike terms
b. Like terms
c. Unlike terms
d. Like terms
Step-by-step explanation:
Pf
A circle has a diameter of 4.5 cm. A larger circle has a diameter of 24
cm. What is the approximate difference in the circumferences of the
two circles?
A 19.5 cm
B. 28.5 cm
C. 61 cm
D. 90 cm
The approximate difference in the circumferences of the two circles is: C. 61 cm.
How to calculate the circumference of a circle?Mathematically, the circumference of a circle can be calculated by using this mathematical expression:
C = 2πr or C = πD
Where:
C represents the circumference of a circle.D represents the diameter of a circle.r represents the radius of a circle.Substituting the given parameters into the circumference of a circle formula, the circumference of the small circle is;
Circumference of circle, C = πD
Circumference of circle, C = 3.14 × 4.5
Circumference of circle, C = 14.13 cm.
For the larger circle, we have:
Circumference of circle, C = 3.14 × 24
Circumference of circle, C = 75.36 cm.
Difference = 75.36 cm - 14.13 cm.
Difference = 61.23 ≈ 61 cm.
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Please help me on this problem
Answer:
A square
Step-by-step explanation:
When the points are graphed, the side lengths form a square.
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
3, a square
Step-by-step explanation:
The X coordinates always start at either positive or negative 3, which means they are equally seperated on the X axis. Then the Y coordinates start at positive 4 for the first 2, and then -2 for the 3rd and fourth. They are all 6 units away, which leads to it being a square since each side is equal.
find the 9th term of the geometric sequence. 12,36,108,...
The 9th term of the given sequence is 78732.
The given sequence is 12, 36, 108... is a geometric sequence with a common ratio of 3.To find the 9th term of the given sequence, we will use the formula for the nth term of a geometric sequence, which is given by:
aₙ = a₁rⁿ⁻¹
Here, a₁ = 12 and r = 3.
Therefore, the formula for the nth term becomes:
aₙ = 12(3)ⁿ⁻¹
Now, we need to find the 9th term of the sequence. Hence, n = 9. Substituting the values of a₁ and r, and n in the formula, we get:
a₉ = 12(3)⁹⁻¹= 12(3)⁸= 12(6561)= 78732
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What formula do I use for this? How do I get the points to graph?
The graph of the function y = 5|x - 4| is added as an attachment
Sketching the graph of the functionFrom the question, we have the following parameters that can be used in our computation:
y = 5|x - 4|
The above function is an absolute value function that has been transformed as follows
Vertically stretched by a factor of 5Shifted right by 4 unitsNext, we plot the graph using a graphing tool by taking not of the above transformations rules
The graph of the function is added as an attachment
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Help me asp please
Answer:
1) power is 8
3) power is 11
Answer:
31^8
1^11
count how many numbers there are then put ^ and the number then the number of the number at the end sorry for my bad explenation
Step-by-step explanation:
In ΔTUV, t = 69 inches, u = 74 inches and v=14 inches. Find the measure of ∠T to the nearest degree.
Answer:64
Step-by-step explanation:
comment section
Answer:
64
Step-by-step explanation:
A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a
Answer:
53\(x_{123}\) == 134 cf
Step-by-step explanation:
A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a
The height of the building is approximately 78.63 meters.
The following is a step-by-step explanation of how to solve the problem. We'll need to use some trigonometric concepts and formulas to find the solution.
Draw a diagram of the situation described in the problem to get a better understanding of the problem. The diagram would have a right-angled triangle with angle of elevation of 66° at the bottom left vertex and another angle of elevation of 53° at the bottom right vertex. The object on top of the building is at the vertex of the triangle. Point M and I on the diagram are points on the horizontal line of sight and on the ground respectively. We can label the diagram with the following values:Angle of elevation from point A = 66°Angle of elevation from point P = 53° Length of line segment AM = h Length of line segment MP = x Length of line segment IP = y Length of line segment MT = 50m. We'll use these values to calculate the length of h, which is the height of the building.Use the tangent ratio to find x:tan 66° = h / x => x = h / tan 66°. Use the tangent ratio to find y:tan 53° = h / y => y = h / tan 53°.We know that x + y = 50, so substituting the expressions for x and y from step 3 gives:h / tan 66° + h / tan 53° = 50h = 50 tan 66° tan 53° / (tan 53° + tan 66°) ≈ 78.63 m.Therefore, the height of the building is approximately 78.63 meters.
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PLEASE HELP ME ANSWERING THIS QUESTION!!
What is f(g(13))?
A. 16
B. 26
C. 32
D. The function is undefined.
A mapping diagram is shown.
Rules answering this question:
⇒ Please explain your answer!
⇒ Show your work!
⇒ Nonsense answer will be reported.
⇒ Incorrect answer will be reported and deleted.
⇒ Do not spam answers, if you do, it automatically reported and delete your answers!
⇒ The answer should be one option only.
Thank you!
\(f(g(13)) = f( \alpha ) \\ where \: \alpha = g(13)\)
As shown in the output of g when we want to input 13 is shown in the second figure.
\( \alpha = g(13 )= 16\)
Now we want to solve for f(g(13)),now that we know what g(13) is
\(f(g(13)) = f( \alpha ) = f(16) = 32\)
AnswerC 32Answer:
C=32
Step-by-step explanation:
This mapping is both one to one mapping and onto mapping
f(g(13))=f(ã)
since we know that g(13),we proceed to the codomain of g which is g(16)
That will be
f(16)=32
In a psychology class, 57 students have a mean score of 87.1 on a test. Then 10 more students take the test and their
mean score is 68.6. What is the mean score of all of these students together? Round your answer to one decimal place if
necessary.
The mean score of all of these students together, rounded to 1 decimal place is 84.3
What is the mean score in each case?
The mean score in each test taken is the total scores of all students that took the test divided by the number of students, in essence, the total score is determined as the mean score multiplied by number of students
total score for 57 students=87.1*57
total score for 57 students= 4,964.7
total score for 10 students=68.6*10
total score for 10 students=686.0
mean score of all of these students together=(4,964.7+686.0)/(57+10)
mean score of all of these students together= 84.3
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Three friends want to meet at a place that is the same distance from each of their houses. They draw a map and measure the approximate distances and angles, as shown. A triangle is labeled with Jo apostrophe s House, Boris apostrophe s House, and Carrie apostrophe s house on the points. The length from Jo to Boris is 0.5 miles, the length from Boris to Carrie is 0.4 miles, and the length from Carrie to Jo is 0.6 miles. The angle at Jo is 38 degrees. The angle at Boris is 88 degrees. The angle at Carrie is 54 degrees. Which step should they take next to find a meeting place that is the same distance from each person’s house?
Answer:
Draw perpendicular bisectors of two the sides
Step-by-step explanation:
The point that is the same distance from each of their houses is the point called the "circumcenter." It is the center of the circle that passes through the vertices of the triangle. Then each of the vertices is the same distance from the center.
The circumcenter is the intersection point of the perpendicular bisectors of the sides of the triangle. To find it, the group needs to draw perpendicular bisectors of two of the sides.
Answer:
The answer is C
Step-by-step explanation:
EDGE2020
Tim works at an appliance store. He earns $15 per hour and a 7% commission on the sales
he makes.
Lets's say
y = earnings
h = number of hours worked
s = amount of sales
Which of the following equations correctly indicates how much Tim earns in a day?
Answer:
Y = $15H + (.07 * S)
Step-by-step explanation:
You didn't give the choices but this should be correct
What are the zeros of the function
Answer: i think c
Step-by-step explanation:
Solve:
a
no solution
b
infinitely many solutions
Answer: a
no solution
Step-by-step explanation:
Solve by substitution:
1) Solve \(x=2y+4\) for x:
\(x=2y+4\)
2) Substitute \(2y+4\) for \(x\) in \(2y=x-6\):
\(2y=x-6\)
\(2y=2y+4-6\)
3) Simplify both sides of the equation:
\(2y=2y-2\)
4) Add \(-2y\) to both sides of the equation:
\(2y+-2y=2y-2+-2y\)
5) Simplify both sides of the equation:
\(0=-2\)
Therefore, there are no solutions to the system of equations.
Solve by elimination:
You can't solve this system of equations by elimination
Solve by graphing:
The equations are parallel to each other, therefore they never cross, so, there are no solutions.
Todd rolled a 12-sided die marked with the numbers 1 to 12. These are his experimental probabilities.
P(odd number) = 18/48
P(greater than 8) = 16/48
P(9) = 12/48
1. Which experimental probability matches the theoretical probability exactly?
2. Which experimental probability is farthest from the theoretical probability?
The experimental probability farthest from the theoretical probability is P(greater than 8). The theoretical probability of rolling a 9 is 1/12 because there is one 9 out of twelve total possible outcomes.
Experimental probability refers to the probability of an event based on data acquired from repeated trials or experiments.
Theoretical probability is the probability of an event occurring based on logical reasoning or prior knowledge. In Todd’s case, he rolled a 12-sided die marked with the numbers 1 to 12.
The probabilities are as follows:P(odd number) = 18/48P(greater than 8) = 16/48P(9) = 12/48To answer the questions:1. Which experimental probability matches the theoretical probability exactly?The theoretical probability of rolling an odd number is 6/12 or 1/2 because there are six odd numbers out of the twelve total possible outcomes.
The experimental probability Todd obtained was 18/48. Simplifying 18/48 to lowest terms gives 3/8, which is equal to 1/2, the theoretical probability.
Therefore, the experimental probability that matches the theoretical probability exactly is P(odd number).2. Which experimental probability is farthest from the theoretical probability? The theoretical probability of rolling a number greater than 8 is 3/12 or 1/4 because there are three numbers greater than 8 out of twelve total possible outcomes.
The experimental probability Todd obtained was 16/48. Simplifying 16/48 to lowest terms gives 1/3, which is not equal to 1/4, the theoretical probability.
The experimental probability Todd obtained was 12/48. Simplifying 12/48 to lowest terms gives 1/4, which is not equal to 1/12, the theoretical probability.
However, the difference between the experimental probability and the theoretical probability for P(9) is smaller than that of P(greater than 8). Therefore, P(greater than 8) is the experimental probability that is farthest from the theoretical probability.
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n Studies / 22FYF013/ Chapter 2: Statistics STACK statistics pr
The numbers of days work missed by 20 workers in one year (ordered by size) we
[0, 0, 0, 0, 0, 1, 1, 2, 3, 4, 4, 4, 4, 4, 4, 5, 6, 6, 8, 55]
Calculate the mean and median. Enter your answers to 1 d.p.
Mean =
Median =
Please answer all parts of the question
The mean and median of the given data set are 5.55 and 4.
What are the mean and median?A data set's mean (average) is calculated by adding all of the numbers in the set, then dividing by the total number of values in the set. When a data set is ranked from least to greatest, the median is the midpoint. Identifying the median The data points should be arranged from smallest to largest. The median is the middle data point in the list if the number of data points is odd. The median is the average of the two middle data points in the list if the number of data points is even.So, the data is:
[0, 0, 0, 0, 0, 1, 1, 2, 3, 4, 4, 4, 4, 4, 4, 5, 6, 6, 8, 55](A) Mean of data:
Sum of all terms/number of terms111/205.55(B) Median of data:
The data set has even terms.Average of two middle terms:4 + 4 / 28/24Therefore, the mean and median of the given data set are 5.55 and 4.
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Raíz cuadrada de 361?
Answer:
La respuesta es: 19
The answer is: 19
Step-by-step explanation:
Raíz cuadrada de 361? = Square root of 361? (Translator)
\(\sqrt{361} = \sqrt{19*19} = 19\)
Hope this helps!
¡Espero que esto ayude!
¿Puede marcar esta respuesta como la más inteligente?
¡Me ayudaría un montón!
¡Gracias!
Can you please mark this answer as brainiest?
It would help me a lot!
Thank you!
Answer:
The square foot of 361 is: 19
Step-by-step explanation:
Hope this helps
Patel is solving 8x2 + 16x + 3 = 0. Which steps could he use to solve the quadratic equation? Select three options. 8(x2 + 2x + 1) = –3 + 8 x = –1 Plus or minus StartRoot StartFraction 5 Over 8 EndFraction EndRoot x = –1 Plus or minus StartRoot StartFraction 4 Over 8 EndFraction EndRoot 8(x2 + 2x + 1) = 3 + 1 8(x2 + 2x) = –3
The steps peter could use in solving the quadratic equation is by applying the quadratic formula; x = –1 Plus or minus StartRoot StartFraction 5 Over 8 EndFraction EndRoot
How to solve quadratic equation?8x² + 16x + 3 = 0
using Quadratic formula
The following steps are involved
\(x = \frac{ -b \pm \sqrt{b^2 - 4ac}}{ 2a }\)
\(x = \frac{ -16 \pm \sqrt{16^2 - 4(8)(3)}}{ 2(8) }\)
\(x = \frac{ -16 \pm \sqrt{256 - 96}}{ 16 }\)
\(x = \frac{ -16 \pm \sqrt{160}}{ 16 }\)
\(x = \frac{ -16 \pm 4\sqrt{10}\, }{ 16 }\)
\(x = \frac{ -16 }{ 16 } \pm \frac{4\sqrt{10}\, }{ 16 }\)
\(x = -1 \pm \frac{ \sqrt{10}\, }{ 4 }\)
\(x = -1 \pm \frac{ \sqrt{5}\, }{ 2 }\)
\(x = -0.209431\)
or
\(x = -1.79057\)
Therefore, the steps peter could follow will give the result
\(x = -1 \pm \frac{ \sqrt{5}\, }{ 2 }\)
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7-15
Dividing decimals
Answer:
7-15= -8
Step-by-step explanation:
The table of values represents a linear function g(x), where x is the number of days that have passed and g(x) is the balance in the bank account:
Part A: Find and interpret the slope of the function. (3 points)
Part B: Write the equation of the line in point-slope, slope-intercept, and standard forms. (3 points)
Part C: Write the equation of the line using function notation. (2 points)
Part D: What is the balance in the bank account after 5 days? (2 points)
Answer:
see below
Step-by-step explanation:
Part A
The slope is found by
m = ( y2-y1)/(x2-x1)
= ( 1200-1500)/(4-0)
= -300/4
=-75
Part B
point slope y-y1 = m(x-x1) where m is the slope and (x1,y1) is a point on the line
y-1200 = -75(x-4)
slope intercept y = mx+b where m is the slope and b is the y intercept
y = -75x + 1500
standard form Ax+By =C
75x + y = 1500
Part C
Change y to g(x) in the slope intercept form
g(x) = -75x + 1500
Part D
Let x = 5
g(5) = -75(5) + 1500
=-375+1500
=1125
HELP ASAP!!!
Identify the zeros of the function f(x) = x² – 3x.
A.0, -3
B.0,3
C.3,3
D.-3, -3
Answer:
B. 0,3
Step-by-step explanation:
\(\texttt{Identify the zeros of the function}:f(x)=x^2-3x\)
The roots are the x values in which where the graph intersects the x-axis. In order to solve, we will need to find the roots by replacing y with 0. In the end, we will solve for x.
= 0,3
i need help with this thanks
Answer: 6
Step-by-step explanation:
There was a seller of horses, who sold all his horses to three people. To the first man he sold half of all his horses and a half of a horse. To the second man he sold half of what he had left and a half of a horse. To the third man he again sold half of what was left and a half of a horse. How many horses did he have at first? (No horses were harmed!)
Answer:
7
Step-by-step explanation:
3RD MAN: 1
2ND MAN: 2
1ST MAN: 4
3rd Man = 1/2+1/2 = 1
2nd Man = 1+1 = 2
1st Man = 2*2 = 4