Answer:
152
Step-by-step explanation: 1+3=4+4=8x2=16x2=32x11=152
Write the equation of a line that is parallel to y=−7 and that passes through the point (7,5)
According to the solution we have come to find that, The equation of the line that is parallel to y = -7 and passes through the point (7,5) is y = 5.
what is mean by parallel lines?
Parallel lines are two or more lines that are always the same distance apart and never intersect. In other words, they have the same slope and they will never meet, no matter how far they are extended in both directions. Parallel lines always remain equidistant from each other and never touch or intersect, even if they are extended to infinity.
For example, in a Cartesian coordinate system, two lines are parallel if and only if they have the same slope. If the slope of one line is m1 and the slope of another line is m2, then the two lines are parallel if m1 = m2.
The given equation is y = -7, which is a horizontal line parallel to the x-axis. Since we need to find the equation of a line parallel to this line, the slope of the new line will also be zero.
To find the equation of the new line, we need to use the point-slope form of the equation, which is:
y - y1 = m(x - x1)
where (x1, y1) is the given point and m is the slope of the line.
Substituting the values of the given point and slope, we get:
y - 5 = 0(x - 7)
y - 5 = 0
y = 5
So, the equation of the line that is parallel to y = -7 and passes through the point (7,5) is y = 5.
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Quadrilateral EFGH is an isosceles trapezoid with bases EH and FG. The measure of angle HGF is (9y + 3)°, and the measure of angle EFG is (8y + 5)°. What is the measure of angle HGF?
Answer:
21°
Step-by-step explanation:
In an sosceles trapezoid, the lower base and upper base angles are congurent
⇒ ∠HGF = ∠EFG
⇒ 9y + 3 = 8y + 5
⇒ 9y - 8y = 5 - 3
⇒ y = 2
⇒ ∠HGF = 9(2) + 3
= 18 + 3
= 21
The measure of angle HGF in the given isosceles trapezoid EFGH is calculated to be 21 degrees.
Explanation:This problem deals with the properties of an isosceles trapezoid, which is a type of quadrilateral. In an isosceles trapezoid, opposite angles are equal. In this case, angle EFG and angle HGF would be equal to each other given the shape is an isosceles trapezoid. So, their measures should be equal.
Here, the measure of angle HGF is given as (9y + 3)°, and the measure of angle EFG is (8y + 5)°. Setting these equal to each other to find the value of y, we get 9y + 3 = 8y + 5. By simplifying, we get the value of y is 2. Substituting the found value of y in angle HGF we get, 9*2+3 = 21 degrees.
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the sum of a number and three, divided by seven
Answer:
x+3/7
Step-by-step explanation:
i hope that right
Arnold opened a savings account 8 years ago with a 3% interest rate. He has earned $87 in interest. How much did Arnold deposit ( Principal) 8 years ago when he opened the account?
Answer:
HAHAHAHAHAHHAHAHAHHAAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHA
Step-by-step explanation:
Solve the following absolute value inequality |7x| < 21
Answer:
-3 < x < 3Step-by-step explanation:
Absolute value will convert any negative to a positive. For instance, |-2| = 2\(\left|7x\right| < 21\\\)
Reorder all possible values\(-21 < 7x < 21\)
Consider\(7x > 21\:and\:7x < -21\)
\(\frac{7x}{-21}\:and\:\frac{7x}{21}\\= -3\:and\:3\\x > -3\:and\:x < 3\)
Using this info, that would mean that x could be any value between -2 and 2. Reorder to find the solution.\(-3 < x < 3\)
Hope this helps!
The time needed to complete a final examination in a particular college course is normally distributed with a mean of 77 minutes and a standard deviation of 12 minutes. Answer the following questions.
Required:
a. What is the probability of completing the exam in one hour or less (to 4 decimals).
b. What is the probability that a student will complete the exam in more than 60 minutes but less than 75 minutes (to 4 decimals)?
c. Assume that the class has 60 students and that the examination period is 90 minutes in length. How many students do you expect will be unable to complete the exam in the allotted time (to the nearest whole number)?
Answer:
a. The probability of completing the exam in one hour or less is 0.0783
b. The probability that student will complete the exam in more than 60 minutes but less than 75 minutes is 0.3555
c. The number of students will be unable to complete the exam in the allotted time is 8
Step-by-step explanation:
a. According to the given we have the following:
The time for completing the final exam in a particular college is distributed normally with mean (μ) is 77 minutes and standard deviation (σ) is 12 minutes
Hence, For X = 60, the Z- scores is obtained as follows:
Z= X−μ /σ
Z=60−77 /12
Z=−1.4167
Using the standard normal table, the probability P(Z≤−1.4167) is approximately 0.0783.
P(Z≤−1.4167)=0.0783
Therefore, The probability of completing the exam in one hour or less is 0.0783.
b. In this case For X = 75, the Z- scores is obtained as follows:
Z= X−μ /σ
Z=75−77 /12
Z=−0.1667
Using the standard normal table, the probability P(Z≤−0.1667) is approximately 0.4338.
Therefore, The probability that student will complete the exam in more than 60 minutes but less than 75 minutes is obtained as follows:
P(60<X<75)=P(Z≤−0.1667)−P(Z≤−1.4167)
=0.4338−0.0783
=0.3555
Therefore, The probability that student will complete the exam in more than 60 minutes but less than 75 minutes is 0.3555
c. In order to compute how many students you expect will be unable to complete the exam in the allotted time we have to first compute the Z−score of the critical value (X=90) as follows:
Z= X−μ /σ
Z=90−77 /12
Z=1.0833
UsING the standard normal table, the probability P(Z≤1.0833) is approximately 0.8599.
Therefore P(Z>1.0833)=1−P(Z≤1.0833)
=1−0.8599
=0.1401
Therefore, The number of students will be unable to complete the exam in the allotted time is= 60×0.1401=8.406
The number of students will be unable to complete the exam in the allotted time is 8
if you have a rate of 75 miles per 3 hours how many miles are in 1 hour
Lena sells two types of fidget toys. The price for each fidget toy A is x and the price for each Fidget B is y. Write an equation that will let her earn a profit of $3500 if she sells 20 of Fidget A and 60 of Fidget B
Answer:
3500 = 20x + 60y
Step-by-step explanation:
Its just the answer
Three times a number is equal to 2.4 minus the number. Find the number.
Three times a number is equal to 2.4 minus the number. Find the number.
Let
x -----> the number
we have that
3x=2.4-x
solve for x
3x+x=2.4
4x=2.4
x=2.4/4
x=0.6the number is 0.6The perimeter of the original rectangle on the left is 30 meters. The perimeter of the reduced rectangle on the right is 24
meters.
Х
8 m
Not drawn to scale
What is x, the width of the original rectangle on the left? Round to the nearest hundredth if necessary.
O 5 meters
O 8 meters
10 meters
12 meters
Answer:
The answer is 5.
Step-by-step explanation:
It's the only one that makes sense, and i took the quiz and got 100%
You're welcome :D
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA 40 POINTS* DONT SKIP :(( .!
Answer:
I believe this question should be one solution
Step-by-step explanation:
Hope this Helped
10 + 5Y = X
40 + 10Y = X
Answer:
X = -50
Y = -30
Step-by-step explanation:
To find the value of Y and X, we can solve a system of equations. One way to do this is by substitution.
From the first equation:
10 + 5Y = X
We can substitute the value of X from the second equation:
10 + 5Y = 40 + 10Y
Then, we can subtract 10Y from both sides:
10 = 40 + Y
Finally, we can subtract 10 from both sides:
Y = -30
Now that we have the value of Y, we can substitute it back into either equation to find the value of X:
X = 10 + 5Y
X = 10 + 5(-30)
X = -50
So the solution is:
X = -50
Y = -30
Answer:
(x,y)=(-20,-6)
Step-by-step explanation:
If R is the midpoint of QS, QR = 4x +7, and RS = 8x - 37, find QS.
4x+7=8X-37
We get the length of QS as 102 units.
We are given two equations:
QR = 4 x +7, and RS = 8 x - 37
We are also told that R is the mid point of QS.
This means that R will divide QS in two equal halves.
This also implies that:
QR = RS
Substituting the values, we get that:
4 x + 7 = 8 x - 37
Solving for x, we get that:
8 x - 4 x = 7 + 37
4 x = 44
x = 44 / 4
x = 11
Now substituting the value of x in QR and RS to find the length of QS:
QR = 4 x + 7 = 4 ( 11 ) + 7 = 44 + 7 = 51
RS = 8 x - 37 = 8 ( 11 ) - 37 = 88 - 37 = 51
QS = QR + RS
QS = 51 + 51 = 102
Therefore, we get the length of QS as 102 units.
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Name three collinear points.
Answer:
D, G and F or I, G and J------------------------
Collinear points are the points on the same line.
There are two lines in the diagram.
The collinear points:
D, G and F on one lineI, G and J on the second lineThe points that are collinear are D,G and E and another set of points which are collinear are L,G and J.
The points which lie on the same straight line are known as collinear points.
Similarly, if three or more number of points are collinear then they form a straight line.
If we observe the figure, the points D,G and E are collinear points as they are on same line.
Similarly the points L, G and H are in the straight line which makes them collinear.
Therefore , the points L,G and J are collinear points.
Hence, the points that are collinear are D,G and E and another set of points which are collinear are L,G and J
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Divide: 1/2÷1/10
SHOW WORK
Answer:
5
Step-by-step explanation:
1/2÷1/10=
1/2x10/1=
10/2=5
Answer:
the answer is 5
Step-by-step explanation:
keep change flip
1/2 x 10 =5
how do you determine the value of the unknown exponent in the equation 9700 divided by 10? = 0.97?
We need to find the exponent of 10 of the equation :
\(\frac{9700}{10^x}=0.97\)so,
\(\begin{gathered} 9700=0.97\cdot10^x \\ \\ 10^x=\frac{9700}{0.97}=10000=10^4 \\ \\ 10^x=10^4 \end{gathered}\)so, x = 4
so, the value of the unknown exponent = 4
A player scored 83 points in 5 games. At this rate, how many total points will the player score in the next 3 games?
What is the base of a triangle that has a height of 6 centimeters and an area of 18 centimeters? Use the formula h = StartFraction 2 A Over b EndFraction, where A represents the area of the triangle, h represents the height, and b represents the length of the base. One-third centimeter Two-thirds centimeters 3 Centimeters 6 Centimeters
Answer:
The base is 6cm
Step-by-step explanation:
Using \(\frac{1}{2}\)bh=area, you just plug in 6 for h and 18 for area and solve. The formula should be 3b=18, which equals 6
The solution is Option D.
The length of the base of the triangle is B = 6 cm
What is a Triangle?A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
if a² + b² = c² , it is a right triangle
if a² + b² < c² , it is an obtuse triangle
if a² + b² > c² , it is an acute triangle
Given data ,
Let the area of the triangle be represented as A
Now , the value of A = 18 cm²
Let the base of the triangle be B
Let the height of the triangle be H = 6 cm
Now , area of the triangle = ( 1/2 ) x Length x Base
Substituting the values in the equation , we get
18 = ( 1/2 ) x B x 6
18 = 3B
Divide by 3 on both sides of the equation , we get
B = 6 cm
Hence , the base length of the triangle is B = 6 cm
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List the first 5 multiples of 15. *
0, 1, 3, 5, 15
5, 10, 15, 20, 25
10, 15, 30, 45, 60
15, 30, 45, 60, 75
Answer:
15, 30, 45, 60, and 75
Step-by-step explanation:
15x1
15x2
15x3
15x4
15x5
I hope this helps you
10 times the sum of certain numbers x and y
This can be represented by \(\boxed{10(x+y)}\)
If 21% of a number is 27, find 7% of that number.
For the 21% of a number is 27, the value of 7% of that number is 7.
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
We have to given that;
⇒ 21% of a number is 27
Let a number is = x
So, We can formulate;
⇒ 27% of x = 27
Solve for x as;
⇒ 27/100 × x = 27
⇒ 27x = 27 × 100
⇒ 27x = 2,700
⇒ x = 2,700 / 27
⇒ x = 100
So, 7% of 100 is,
⇒ 7% of 100
⇒ 7/100 × 100
⇒ 7
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Find the sum of the geometric series
1 - 0.99 + 0.99^2 - 0.99^3 + ... - 0.99^{79}
Answer:
-0.970199
Step-by-step explanation:
¿Cuál es la fuerza por unidad de longitud que actúa
sobre un alambre recto que conduce una corriente de
9.40 A de manera perpendicular a un campo
magnético uniforme de 0.80 T?
La fuerza por unidad de longitud del cable recto que lleva es de 7,52 N/m.
¿Qué es la fuerza magnética?La fuerza magnética se refiere a la fuerza que experimenta un cuerpo en el campo magnético.
Tenemos la siguiente información;
Corriente (I) = 9,40 A
Campo magnético = 0,80 T
Dado que;
F = BIL senθ
Tenemos que encontrar la fuerza por unidad de longitud así;
F/L = BIsenθ
F/L = 0,80 T * 9,40 A Sen 90 = 7,52 N/m
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AA.1 Solutions to inequalities P9N
Which of the following are solutions to the inequality below? Select all that apply.
3 ≤ 47
x = 24
Submit
x = 51
X = 6
X = 99
Answer: 3 ≤ 47
Step-by-step explanation:
The inequality given is 3 ≤ 47.
To determine the solutions to this inequality, we need to find the values of x that satisfy the inequality.
Looking at the options provided:
x = 24: This is not a solution because 24 is less than 47.
x = 51: This is a solution because 51 is greater than or equal to 47.
x = 6: This is not a solution because 6 is less than 47.
x = 99: This is a solution because 99 is greater than or equal to 47.
Therefore, the solutions to the inequality 3 ≤ 47 are x = 51 and x = 99.
Solve 15 + a = 10.
A. a = -5
B. a = 150
C.
a = -25
D.
a= 25
please :)))
Answer:
A. a = -5Step-by-step explanation:
15 + a = 10
a = 10 - 15
a = -5
Sophia pays a $25.00 membership fee for an online music store. If Sophia purchases n songs for
$3.00 each, and the total cost for her purchase is $60.00. Write and equation for the total cost
of songs s
Answer:
11 remainder 2 sorry if it's wrong...
Step-by-step explanation:
60.00- 25.00= 35.00 35.00 ÷ 3 = 11 r2
Write this ratio as a fraction in lowest terms.
20 minutes to 70 minutes
Answer:
2:7
Step-by-step explanation:
20/70=2/7=2:7minutesWhich one is greater
Answer:
7.
\( { \tt{1.403 > 1.4}}\)
8.
\({ \tt{3.074 < 3.740}}\)
pls help
The Pythagorean theorem states that a² + b² = c² for a right triangle with leg lengths, a and b, and hypotenuse length, c.
The hypotenuse of a right triangle is 5 units long and has the points (3, 0) and (0, 4) as end points. One of the legs has length 3.
Use the Point and Segment tools to draw a right triangle at demonstrates the other leg length is 4.
Answer:
Step-by-step explanation:
Draw the third point at (0, 0). This would make the distance from (3,0) to (0,0) equal to 3, and the distance from (0,4) to (0,0) be 4.
Hee lllp!!! Now 70 points
Answer:
\(\huge\boxed{Option \ 1}\)
Step-by-step explanation:
Since, AE = CE and BE = DE , then E is the midpoint of AC and BD. Causius can use that to show that AC and BD bisect each other which means that they both are the diagonals of a parallelogram bisecting each other. Hence, It will be proved that ABCD is a || gm.
Hope this helped!
~AnonymousHelper1807