Answer:
74/100
37/50 (this is the answer if 74/100 is simplified)
Hope this helps :)
Explanation right below.
Step-by-step explanation:
The 4 in 0.74 ends in the hundredths place, so 74 will be put over 100 in a fraction to get 74/100. If 74/100 needs to be simplified then divide the numerator and denominator by 2 to get 37/50.
2x^2+7x+2 greater than or equal to 0
Answer:
Greater than
Step-by-step explanation:
2x2+7x+2
----------
|x| means “distance between_ and _
Answer:|x| means “distance between a number and zero
Step-by-step explanation:
Also known as absolute value
ex l5l=5 & l5l=-5
Dolphins can hear sounds underwater that are 24 kilometers away.
How many meters away can dolphins hear sounds underwater?
O 0.024 m
2.4 m
O 0.24 m
O 0.0024 m
The number of meters away that dolphins cab hear sounds underwater will be 0.0024 m
How to calculate the value?From the information, Dolphins can hear sounds underwater that are 24 kilometers away.
The number of meters away that dolphins can hear sounds underwater will be:
= 24 / 1000
= 0.0024 m
Therefore, the correct option is D.
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Edgar is a high school senior who has great grades and is at the top of his class. he just received a notification that he was awarded a few scholarships in the amounts of $4,500, $7,500, and $750. if his expected tuition with books and fees is $25,000, how much money will edgar need to pay for the rest of his education bill? show your work.
If Edgar is a high school senior who has great grades and just received a notification that he was awarded a few scholarships in the amounts of $4,500, $7,500, and $750 while his expected tuition with books and fees is $25,000, then the amount of money Edgar will need to pay for the rest of his education bill is equal to $12,250.
The amount of money Edgar will need to pay can be determined by the subtraction of the total tuition with books and fees from the total amount of scholarships awarded to Edgar.
The total amount of scholarships awarded to Edgar can be determined by the sum of all of the scholarships.
Total amount of scholarships = 4500 + 7500 + 750
Total amount of scholarships = $12,750
Now the amount that Edgar will need to pay for the rest of his education bill can be determined by subtraction.
Amount to be paid by Edgar = Tuition with books and fees - Total amount of scholarships
Amount to be paid by Edgar = 25,000 - 12750
Amount to be paid by Edgar = $12,250
Hence, the amount of money Edgar will need to pay for the rest of his education bill is calculated to be $12,250.
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Solve each equation. Check each solution. 11/3x - 1/3 = -4/x²
The solutions of the given equation 11/3x - 1/3 = -4/x² are x = -1 and x = 12
In this question, we have been given an equation.
11/3x - 1/3 = -4/x²
We need to solve given equation.
⇒ 11/3x - 1/3 = -4/x²
⇒ (33 - 3x)/9x = -4/x²
⇒(33 - 3x)/9 = -4/x
⇒ x(33 - 3x) = -36
⇒ -3x² + 33x + 36 = 0
⇒ x² - 11x - 12 = 0
⇒ x² - 12x + x - 12 = 0
⇒ x(x - 12) + 1(x - 12) = 0
⇒ (x - 12)(x + 1) = 0
⇒ x - 12 = 0 or x + 1 = 0
⇒ x = 12 or x = -1
Now we need to check above solutions.
Substitute x = 12 in given equation.
⇒ 11/3(12) - 1/3 = -4/(12)²
⇒ 1/3 (11/12 - 1) = 1/3(-4/48)
⇒ -1/12 = -1/12
⇒ LHS = RHS
Now substitute x = -1 in given equation.
⇒ 11/3(-1) - 1/3 = -4/(-1)²
⇒ -12/3 = -4/1
⇒ -4 = -4
⇒ LHS = RHS
Therefore, the solutions of the given equation 11/3x - 1/3 = -4/x² are x = -1 and x = 12
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Question 1
A pair of running shoes is on sale for $125.99. If the sale price is discounted 9% from the original price, what is the
original price?
Answer:
$138.45
Step-by-step explanation:
The original price was 100% of the original price since 100% is the whole thing.
The price was discounted by 9%.
100% - 9% = 91%
That means the discounted price is 91% of the original price.
Let x = original price.
91% of x = $125.99
0.91x = 125.99
x = 125.99/0.91
x = 138.45
Answer: $138.45
The population of a city has increased by 28 since it was last measured. if the current population is 80000, what was the previous population?
According to the given statement The preceding population was = 62,500.
In mathematics, what is a percentage?A % is a relative figure that represents the hundredth part of any amount. One percent (symbolized 1%) is a one-hundred part; consequently, 100 percent denotes the complete amount and 200 percent defines twice the supplied amount.
What is the significance of the term "percentage"?Percent originated from the Latin adverbial phrase per centum, which means "by the hundred." The Latin phrase made its way into English in the 16th century. Later, it was abbreviated to % with a period. The period was eventually eliminated, and the two components amalgamated to form the contemporary one-word form %.
According to the given data:The current population of a city = 80000
A city's population has grown by 28% since the last census.
measured.
We have to calculate the previous population before increasing 28%.
Let the previous population be p
p +(28% × p) = 80000
p + 0.28p = 80000
1.28p = 80000
p = 80000/1.28
p = 62,500
The preceding population was = 62,500.
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HELP PLEASE THIS IS URGENT
WHAT IS THE SLOPE FOR THE LINE?
hi
let take two points :
( 0; -1) and (4 ; 2)
here is a = 0 ; f(a) = -1
b = 4 ; f(b) = 2
Slope is : f(a) -f(b) / a-b
let's apply : -1 - 2 / 0-4 = -3/-4 = 3/4
Slope is 3/4
if you want to check result, you can calculate the coordonate of an other point and see if it match.
here I read that there is a point on the line for -4 ; -4
here I can read that Y axis value for X = 0 is -1
as a line is defined by : mx+p
with m = slope and p value for x = 0
so : p = - 1
with m = 3/4 ; x = -4 and p = -1
I can test my line equation and see if it match the result :
3/4 ( -4) - 1 = -12/4 - 1 = -3 -1 = -4
Result match what I see on the graph, so previous result is correct.
: Slope is 3/4
ps : if line grows, the slope can only be positive. if line decrease, slope is negative, if line is constant, then slope is still and equal 0
Can someone please help me? It’s due tmrw.
For Exercises 1-3 use the following information. Then estimate to find the distance sound travels through each material in each given time.
Problem: Sound travels through different materials at different speeds. For example, the graph shows that in one second, sound travels 5,971 meters through stone.
However, it travels only 346 meters through air in one second.
1. air, 20 seconds
Answer:??
2. Stone, 12 seconds
Answer:??
3. Estimate how much farther sound travels through stone in 17 seconds than through aluminum in the same time.
Answer:??
Thanks! :)
Chart
|
|
|
|
|
|
\/
Answer:
Step-by-step explanation:
1. We know it travels 346 meters in a second, we now need to multiply 346 by 20. This equals 6920
2. Sound travels 5971 meters per second. We need to multiply this by 12 to find the distance it travels in 12 seconds. 71652 meters
3. We know sound travels 5971 meters per second in stone and 5000 meters per second from the chart. We need to find the difference between these and multiply that by 17 to find the distance covered in 17 seconds.
5971-5000=971
971*17=16507
Sound travels 16507 more meters in 17 seconds through stone than it would travel in aluminum
Suppose that R and S are points on the number line.
If RS=7 and R lies at -3, where could S be located?
If there is more than one location, separate them with commas
The location point of S if RS is 7 will be 4
Vector sum and locationWhen two vectors are added using the vector addition postulate, it is known as the vector sum.
Suppose that R and S are points on the number line. If RS=7 and R lies at -3, then;
RS = S - R
Given the following
RS = 7
R = -3
Substitute
7 = S - (-3)
7 = S + 3
S = 7 - 3
S = 4
Hence the location point of S if RS is 7 will be 4
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The length of the roller coaster track from the top of a hill to the bottom of the hill is 125 feet at a 53°C angle with the vertical. If the position at the top of the hill is (x, y) , use function notation to describe the translation to the bottom of the hill. Round to the nearest foot.
(x + 100, y - 75) is the function notation used to characterise the translation to a bottom of the hill.
What is defined as Pythagorean Theorem?The Pythagorean theorem states that the sum of a squares on a legs of a right triangle equals the square on hypotenuse (this same side opposite this same right angle)—or, in recognizable algebraic notation, a² + b² = c².
Now, as per the given question;
From the shown diagram,
AC = b
Ab = c
We must find the coordinates of a point B. If C(x,y), then the coordinates of points A and B are:
A(x, y−b) and B(x+c, y−b)
We need to figure out b and c. To find c, we should use sine function.
sinC = perpendicular/hypotenuses
sinC = c/BC
Thus, c = BC sinC
c = 125sin53°
=125⋅0.79863551
c ≈100
To find b, we are using the Pythagorean Theorem.
BC² = AC² + AB²
125² = b² + 100²
b² = 125² - 100²
b = √5625
b = 75
The coordinates of a point B are as follows:
B(x+c, y−b)
B(x+100, y−75).
Therefore, the translation to the bottom of the hill defined by the function notation is B(x+100, y−75).
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Ricardo went jet skiing while on vacation. The jet ski rental cost a flat rate of $25, plus $17.75 per hour. Ricardo had $102.17. How much did he have left after 3 hours of jet ski riding?
$23.92
$48.92
$53.25
$78.25
Ricardo will be left with $23.92 after 3 hours of Jet ski riding
How to calculate the amount left ?Ricardo is on vacation so he went jet skiing
The Jet ski has a rental flat rate of $25
They also charge $17.75 per hour
Ricardo had $102.17
The amount spent in 3 hours is
17.75(3) + 25
= 53.25 + 25
= 78.25
The amount left is
= 102.17 - 78.25
= 23.92
Hence Ricardo has $23.92 left after the Jet ski ride
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name 4 coplanar points
Answer:
Point H, Point D, Point G, Point F
Determine whether the following statement is sometimes, always, or never true. Explain.
The distance between a line and a plane can be found.
The statement "The distance between a line and a plane can be found" is sometimes true.
Given,
The statement "The distance between a line and a plane can be found".
The distance between the point and the plane can be found by the taking a point on the line and finding the perpendicular distance from line to the plane.
But we can't apply this method in every case. We can only apply when either the line is parallel to the plane or the line intersects the plane.
Hence, the statement "The distance between a line and a plane can be found" is sometimes true.
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Add or subtract. Simplify where possible. 7/2 c - 2 / c²
The simplest version is one that utilizes fundamental algebraic and mathematical ideas, such as exponents. The simplified equation of (7/2c) - (2/c²) is (7c - 4)/(2c²).
How the given expression is simplified?Let the expression be (7/2c) - (2/c²)
Taking LCM of the denominator
⇒ (7/2c²) - (4/2c²)
simplifying the above equation, we get
⇒ (7c - 4)/(2c²)
What is simplification?Simplifying a mathematical expression means putting it in the most basic form. Typically, the simplest version is one that utilizes fundamental algebraic and mathematical ideas, such as exponents. The phrase is intended to be made simpler by eliminating any repetition or duplication.
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Marcel made an error when he used the distributive property to write an equivalent expression.
Which sentence describes the error?) A) Both terms aren’t multiplied by 8x, so 8x can’t go in front of the parentheses.
b) 32x does not equal 8x⋅4.
c) 8x(2) does not equal 16x.
d) 32x and 16 have no factors in common.
The sentence describes the error is that A) Both terms aren’t multiplied by 8x, so 8x can’t go in front of the parentheses.
How to illustrate the information?It should be noted that the expression given is illustrated as 32x and 16.
In this case, it should be noted that the common factor between the expression is 8.
Therefore, the sentence describes the error is that both terms aren’t multiplied by 8x, so 8x can’t go in front of the parentheses.
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Answer: Therefore, the sentence describes the error in that both terms aren’t multiplied by 8x, so 8x can’t go in front of the parentheses.
Step-by-step explanation:
Write an equation for each transformation of y=x .
Vertical compression by a factor of 1/2.
Vertically Stretching and Compressing
It multiplies a function by a positive constant that yields a position whose graph is vertically stretched or compressed relative to the original function's graph. If the constant is greater than 1, it will stretch vertically. If the constant is between 0 and 1, vertical compression is done and you will get vertical compression.
Vertical compression occurs when you multiply the function by a rational scaling factor. The base of the function graph remains the same even when the graph is compressed vertically. Only initial values are affected.
Solution
Y=x
Multiplying the right side by ½
Y= (1/2) *X
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Apply the order of operations to simplify each
expression
4.24-8×2÷4=
0
12
16
4
Answer:
4.24-(8*2)/4)=
4.24- 4= 0.24
I need this answered please
Answer: (8w) - 6 = 7
Step-by-step explanation:
To write an equation, we will look at the phrase given.
Six less than ➜ - 6
the product of ➜ multiplication
is equal to 7 ➜ = 7
Six less than the product of 8 and a number is equal to 7.
(8w) - 6 = 7
Find the sum of each finite arithmetic series. 8+9+10+. . . . . . +15
The sum of finite arithmetic series 8+9+10+. . . . . . +15 is 92
Suppose we are given an arithmetic series:
a(1) + a(2) + ... + a(n)
Then the sum is:
S(n) = n/2 (a(1) + a(n))
Where: a(1) = first term
a(n) = nth term
The given series is:
8+9+10+. . . . . . +15
We need to find n such that a(n) = 15.
Recall that in an arithmetic sequence:
a(n) = a(1) + (n -1) . d
where d = difference between 2 consecutive terms.
Substituting a(1) = 8, and d = 9 - 8 =1 into the formula:
a(n) = 8 + (n -1) . 1
15 = 7 + n
n = 8
Substitute n = 8 into the sum formula:
S(n) = n/2 (a(1) + a(n))
S(8) = 8/2 . (8 + 15)
= 4 . 23 = 92
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All the data collected in a particular study are referred to as the? inference data set variable population
A variable is any property, number, or quantity that can be measured or counted. Variables can also be referenced as data items.
Inference: Inference uses selected samples from a population to estimate the properties of unknown people.
A record (or record) is a collection of data. For tabular data, a record corresponds to one or more database tables, each table column represents a specific variable, and each row corresponds to a particular record in that data set.
Therefore:
All the data collected in particular is referred to as Data Set.
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The midpoint of AB is M (2, -2). If the coordinates of A are (8, 1), what are the coordinates of B?
The co-ordinates of point B is (4, -5).
Elaborate about the mid point formula.Let the endpoints of a line segment be [tex]x_{1}[/tex], [tex]y_{1}[/tex], and [tex]x_{2}[/tex], [tex]y_{2}[/tex]. The midpoint is equal to half of the sum of the two points' x-coordinates and half of the sum of the two points' y-coordinates.
Point at A ([tex]x_{1}[/tex], [tex]y_{1}[/tex]) = (8,1)
Point at B ([tex]x_{2}[/tex], [tex]y_{2}[/tex]) = (x,y)
The mid point AB is M (2,-2)
Using the mid point formula:
( [tex]\frac{x_{1} +x_{2} }{2}[/tex], [tex]\frac{y_{1} +y_{2} }{2}[/tex] ) = ( x,y )
[tex]\frac{8 +x_{2} }{2}[/tex] = 2
8 + [tex]x_{2}[/tex] = 4
[tex]x_{2}[/tex] = - 4
And
[tex]\frac{1 + y_{2} }{2}[/tex] = -2
1 + [tex]y_{2}[/tex] = -4
[tex]y_{2}[/tex] = - 5
So, the co-ordinate of point B is (4, -5).
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write the point slope form of the equation of the line described question 17
Answer:
[tex]y - 2 = -\frac34(x - 4)[/tex]
Step-by-step explanation:
Hello!
The equation in #17 is written in Slope-Intercept Form: [tex]y=mx+b[/tex]
y = outputm = slopex = inputb = y-interceptPoint Slope form is the equation given slope and a point: [tex]y - y_1 = m(x - x_1)[/tex]
y = y - value of second pointy1 = y - value of first pointm = slopex = x - value of second pointx1 = x - value of first point.The point given to us is (4,-2), which we can use as x1 and y1.
The slope is given in the slope-intercept form equation: -3/4
Plug in the values to find the equation:
[tex]y - y_1 = m(x - x_1), (4,2), -\frac34[/tex][tex]y - 2 = -\frac34(x - 4)[/tex]The equation is [tex]y - 2 = -\frac34(x - 4)[/tex].
A bookstore has 45 copies of a bestseller available on Saturday morning. Twenty-one customers purchase the book that day. On Monday, a shipment of 25 books arrives and 14 copies are sold. Which statements are correct?
A The integer −21 represents the sale of 21 books.The integer −21 represents the sale of 21 books.
B After Monday's sales, 26 copies are available.After Monday's sales, 26 copies are available.
C The integer 25 represents the new shipment.The integer 25 represents the new shipment.
D After Monday's sales, 35 copies are available.After Monday's sales, 35 copies are available.
E The integer 14 represents the sale of 14 books.
(P.S it can have multiple answers)
The correct statements are:
The integer −21 represents the sale of 21 books.The integer 25 represents the new shipmentAfter Monday's sales, 35 copies are available.IntegersBooks available on Saturday morning = 45 copiesBooks purchased on Saturday = 21 copiesShipment of books on Monday = 25 copiesBooks sold on Monday = 14 copiesCheck all that applies:
A The integer −21 represents the sale of 21 books.
True
B After Monday's sales, 26 copies are available.
False
Saturday = 45 - 21
= 24 books available
Monday = 25 - 14
= 11 books available
Total books available = 24 + 11
= 35 copies available
C The integer 25 represents the new shipment.
True
D After Monday's sales, 35 copies are available.
True
E The integer 14 represents the sale of 14 books.
False
Therefore, option A, C and D are the correct statements.
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600 is blank times much as 6
Answer: 100 times
Explanation: 6 times 100 would be 600 so 600 would be 100 times bigger than 6.
A lawn is 4m longer than it is wide. The total area of the lawn is 30 metres squared. What is its perimeter? Give your answer to 2 d.p.
Answer:
7.5
Step-by-step explanation:simply divide 30 and 4 and the answer is 7.5
Edgar grew 12 plants with 2 seed packets. How many seed packets does Edgar need to have a total of 36 plants in his backyard? Solve using unit rates?
Write a function g whose graph represents the indicated transformation of the graph of f. f(x)= | 4x+3| + 2 translated 2 units down is g (x)
Answer:
g(x) = |4x+3|
Step-by-step explanation:
g(x) = f(x) - 2
=|4x+3|
Drag each length to the correct location on the image. Each length can be used more than once, but not all lengths will be used.
What are the missing segment lengths in the image?
12√3
24
12√2
12
45
E
45°
12
24√3 24√2
45°
45°
Answer:
DF=12√2
FG=12√2
DG=24
Step-by-step explanation:
Ratio of special Right Triangle (45:45:90): x:x:x√2
Triangle DEF: x:x:x√2
x=12
12: 12: 12√2
So, DF= 12√2
Opposite (if q, then p) Base angle theorem. So, FD≅FG.
FD=12√2
FG=12√2
Ratio of 45:45:90 Triangle: x:x::x√2
x in triangle FDG= 12√2
12√2:12√2:12√2(√2)
12√2*√2=24
=12√2: 12√2: 24
DG=24
a. Measures less than m ∠ 1 .
A triangle's exterior angle is always greater than its two remote interior angles. The exterior angle ∠1 is greater than ∠3, ∠5, ∠7, and ∠8.
What is meant by Exterior Angle Inequality Theorem?
According to the exterior angle inequality theorem, the measure of any exterior angle of a triangle is greater than the measure of either of the opposite interior angles. The adjacent interior angle and the exterior angle are supplementary. A triangle's exterior angles add up to 360º.
A triangle's exterior angle is always greater than its two remote interior angles.
Since, angle 1 is an exterior angle of Δ ABE,
m∠1 > m∠3 and m∠4
Since, angle 1 is an exterior angle of Δ ABD,
m∠1 > m∠5
Since, angle 1 is an exterior angle of Δ ABC,
m∠1 > m∠7 and m∠8
Therefore, ∠1 is greater than ∠3, ∠5, ∠7, and ∠8.
The complete question is:
Use the Exterior Angle Inequality Theorem to list all of the angles that satisfy the stated condition.
a. Measures less than m ∠ 1 .
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