What is the value of the expression below when z=73z - 3
Answer:
z = 1/24
z = 73z - 3 pass the -3 to the other side
3 + z = 73z now pass z to the other side
3 = 73z+z combine like terms
3= 74z divide both sides by 74
1/24 = z
PLEASE HELP ME 30 POINTS
Step-by-step explanation:
3.
\(( \frac{25 + 3}{0.5} ) - 16.4 \div 4\)
6.
\(56 - 4.1\)
Find the lowest number divisible by 15, 20 & 25.
Answer:
300.
Step-by-step explanation:
This is the LCM.
15 = 3 * 5
20 = 2 * 2 * 5
25 = 5 * 5
One 5 appears in all 3 factors so we only use this once in the calculation:
LCM = 2 * 2 * 3 * 5* 5 = 300
what is the slope of this? HELP PLS
A plane is traveling at 600 miles per hour. How many feet per second is it traveling?
Answer:
600
Step-by-step explanation:
Answer:
880 ft/sec
Step-by-step explanation:
as part of video game, the point (5,2) is rotated counterclockwise about the origin through an angle of 5 degrees. find the new coordinates of this point
The new coordinates of the point (5, 2) after rotating counterclockwise about the origin through an angle of 5 degrees are approximately (4.993, 2.048).
To find the new coordinates of the point (5, 2) after rotating counterclockwise about the origin through an angle of 5 degrees, we can use the rotation formula:
x' = x * cos(theta) - y * sin(theta)
y' = x * sin(theta) + y * cos(theta)
Where (x, y) are the original coordinates, (x', y') are the new coordinates after rotation, and theta is the angle of rotation in radians.
Converting the angle of rotation from degrees to radians:
theta = 5 degrees * (pi/180) ≈ 0.08727 radians
Plugging in the values into the rotation formula:
x' = 5 * cos(0.08727) - 2 * sin(0.08727)
y' = 5 * sin(0.08727) + 2 * cos(0.08727)
Evaluating the trigonometric functions and simplifying:
x' ≈ 4.993
y' ≈ 2.048
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Line QR goes through points Q(0, 1) and R(2, 7). Which equation represents line QR?
y – 1 = 6x
y – 1 = 3x
y – 7 = 2x – 6
y – 7 = x – 2
Answer:
the 2nd equation
Step-by-step explanation:
use formula for slope
y2-y1/x2-x1 =m
7-1/2-0=6/2
=3
y=3x+1
y-1=3x
Answer:
y – 1 = 3x
number 2
Step-by-step explanation:
To win the annual read-a-thon at his school, Scott has to read more books than any of his classmates over winter break. He starts by reading a lot of sports books. Then, he reads 10 mystery books. In all, Scott reads 23 books for the read-a-thon.
Answer:
13 sports books and 10 unknown books is 23 books
Step-by-step explanation:
we already know scott read 23 books total, we also know that he read 10 mystery books.
subtracting 10 unknown books from 23 total books, we get 13 sports books as your answer
If the weight of a package is multiplied by 5/6 the result is 50 pounds. Find the weight of the package.
A) 50.6
B) 60
C) 56.9
D) 65.4
B, 60 :)
50/\(\frac{5}{6}\) = 60
Tiffany used 12 1/2 square feet of cloth to make 3 curtains. How many square feet of cloth are required to make 12 similar curtains?
Answer:
50
Step-by-step explanation:
12 1/2 x 4
what’s a decimal between -5/6 and 1?
Answer:
.9333
Step-by-step explanation:
-5/6 is -0.83333333 repeating so something between that and 1 is 9.33333
Answer:
Step-by-step explanation:
-5/6 = -0.8333...
So one decimal would be -0.5.
For this question, choose TWO answers. Which of the following are geometric sequences with a common ratio of 2?
A).an = an-1 + 2, where a 1 = 3
B). f(n) = 5 ∙ 2n, where n = 1, 2, 3, …
C)0.0.0625, 0.125, 0.25, 0.5, 1, …
D).an = 1/2 x an- 1, where a 1 = 2
E).–5,–3, –1, 1, 3, …
Answer:
A and E
Step-by-step explanation:
The geometric series which has the common ratio 2 is 0.0625, 0.125, 0.25, 0.5, 1, … thus option (C) is correct.
What is geometrical progression series?A geometric progression is a sequence in which any element after the first is obtained by multiplying the previous element by a constant which is called a common ratio denoted by r.
For example, the sequence 1, 4, 16, 64,… is a geometric sequence with a common ratio of r = 4.
As per the given,
Common ratio r = 2
Common ratio = next term / previous term
In the series 0.0625, 0.125, 0.25, 0.5, 1, … the common ratio is 2.
In the series \(a_{n}\) = (1/2) × \(a_{n-1}\)
a₁ = 2 so
a₂ = (1/2)a₁ 1
The ratio is 1/2, not 2.
Hence "The geometric series which has the common ratio 2 is 0.0625, 0.125, 0.25, 0.5, 1, …".
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Find dy/dx if y^3 x^2y^5 - x^4 = 27 using implicit differentiation. find the sloe of the tangent line to this function at the point (0,3)
The differentiation dy/dx = (4x^3 - 6x y^8) / (15x^2 y^10). The sloe of the tangent line to this function at the point (0,3) is 0.
To find the derivative of the function y^3 x^2y^5 - x^4 = 27 with respect to x using implicit differentiation, we apply the product rule and the chain rule:
d/dx(y^3 x^2y^5) - d/dx(x^4) = d/dx(27)
Using the power rule and the chain rule, we can find the derivatives of each term:
3y^2 x^2y^5 + 2y^3 x^2(5y^4 dy/dx) - 4x^3 = 0
Simplifying this expression, we get:
15x^2 y^10 dy/dx + 6x y^8 = 4x^3
Now we can solve for dy/dx by isolating it on one side of the equation:
15x^2 y^10 dy/dx = 4x^3 - 6x y^8
dy/dx = (4x^3 - 6x y^8) / (15x^2 y^10)
To find the slope of the tangent line to the function at the point (0,3), we substitute x = 0 and y = 3 into the expression we just found:
dy/dx = (4(0)^3 - 6(0)(3)^8) / (15(0)^2 (3)^10) = 0
So the slope of the tangent line to the function at the point (0,3) is 0.
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deb had 2 3/4 pounds of blueberries. deb let her friend clarence eat 1/4 of the blueberries. how many pounds of blueberries did clarence eat?
Deb had 2 3/4 pounds of blueberries. Deb let her friend clarence eat 1/4 of the blueberries. Clarence ate 0.6875 pounds of blueberries.
To find out how many pounds of blueberries Clarence ate, we need to first convert the 2 3/4 pounds to a decimal. We can do this by dividing the numerator (3) by the denominator (4) and adding the result to the whole number (2).
2 3/4 pounds = 2 + (3/4) = 2 + 0.75 = 2.75 pounds
Now we know that Deb had 2.75 pounds of blueberries. To find out how many pounds of blueberries Clarence ate, we need to multiply this amount by the fraction of blueberries he ate (1/4).
2.75 pounds x 1/4 = 0.6875 pounds
So Clarence ate 0.6875 pounds of blueberries.
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Claire tossed a die onto a black-and-red checkerboard. What is the probability that it will land with a value less than 4 on a red square?
show work pls and Thanks!!
Answer:
1/4
Step-by-step explanation:
A checkerboard is 1/2 red and 1/2 black.
There are 6 sides on a die, 3 of which are less than 4 (1, 2, and 3).
So the total probability is (1/2) (3/6) = 1/4.
a certain car gets 35 miles per gallon and has a 15 gallon tank. how many times would the tank have to be filled to drive 2625 miles
Fuel consumption determines the number of gallons of fuel needed to travel a certain distance. To travel 2625 miles, the tank must be filled 75 / 15 = 5 times.
To solve the given problem, we need to make use of the concept of fuel consumption. This concept determines the number of gallons of fuel needed to travel a certain distance. Hence, let's first calculate the car's fuel consumption to travel one mile.
Step 1: Fuel consumption to travel one mile The car gives 35 miles per gallon. Hence, fuel consumption to travel one mile = 1 / 35 gallon = 0.0286 gallons
Step 2: Number of times the tank must be filled To travel 2625 miles, the total fuel required = 0.0286 x 2625 = 75 gallons Given, the tank capacity = 15 gallons Hence, the tank must be filled 75 / 15 = 5 times to travel 2625 miles.
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Please fill in the table
What is the answer for t?
4(t + 3) = 24
Answer:
3
Step-by-step explanation:
4(t +3)=24
4t +12 =24
4t =24 - 12
4t =12
t =12 :4
t =3
Answer:
t = 3
Step-by-step explanation:
Original Equation:
4(t + 3) = 24
Use distributive property
4 x t = 4t
4 x 3 = 12
Your equation:
4t + 12 = 24
Subtract 12 from both sides
4t = 12
Divide both sides by 4
t = 3
Hope this helped :)
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what is (h - 5)(h - 8)
Answer:
h^2-13h+40
Step-by-step explanation:
(h-5)(h-8)
h^2-5h-8h+40
h^2-13h+40
The ratios from parts A and B are equivalent. Write an equation by setting the ratios equal to one another.
Answer:
the solution is 9/2 = X24
ew Mathematics i am just filling up the space
Answer:
For starters for the angles to be complementary they have to be 90 degrees
and angle ECD is a 52 degree angle. Next, you would need to subtract 52 degrees from 90 degrees and get an answer of 38 degrees. Making DCF a 38 degree angle.
Step-by-step explanation:
13.- La factorización correcta d
expresión 3x2- 24x + 21 es:
A) (3x-3)(x+7)
B) (3x+21)(x-1)
C) (3x+1)(x+21)
D) (3x-3)(x-7)
reción y
Answer:
Option (D)
Step-by-step explanation:
The given expression is,
3x² - 24x + 21
We will factorize the given expression by the following steps,
3x² - 24x + 21
= 3(x² - 8x + 7)
= 3(x² - 7x - x + 7)
= 3[x(x - 7) - 1(x - 7)]
= 3(x - 1)(x - 7)
= (3x - 3)(x - 7)
Therefore, factored form of the given expression is (3x - 3)(x - 7).
Option (D) will be the correct option.
PLEASE ANSWER ASAP
1.) the sum of two numbers is 42, the difference is 30. find the two numbers
2.) the perimeter of a rectangle is 62cm, the length is 1cm more than twice the width, what are the dimensions of the rectangle?
3.) in blue river terry can row 36km downstream in three hours, but it takes him 6 hours to row the same distance upstream, find the rate he rows in still water and the rate of the current.
4.) the cost of 8 avocados and 3 tomatoes is $8.39, the cost of 4 avocados and 12 tomatoes is $11.44. find the cost of each avocado and each tomato.
5.) coffee is worth $2.95 a pound was mixed with coffee worth $3.50 a pound to produce a blend worth $3.30 a pound. how much of each coffee was used to produce 44 pounds of blended coffee?
Answer:
1.) The two numbers are 36 and 6.
2.) 42cm + 20cm = 62cm
3.) 3km/hr = rate of current
4.) Each cost 0.79 cents
5.) Mixed is 16 lbs
Blended is 28 lbs
Step-by-step explanation:
I am stuck on this question, help please!
Answer:
y= -1x + 4 or y= -x + 4
Step-by-step explanation:
what is the reciprocal of 1 1/4
Answer:
11/4 The reciprocal will be 4/11
Help me please. Find the value of b
how do we find the median if the number of observations in a data set is odd?
To find the median of a data set when the number of observations is odd, you follow these steps:
Arrange the data set in ascending order.
Identify the middle observation in the ordered data set.
The value of the middle observation is the median.
For example, let's say you have the following data set with an odd number of observations:
3, 5, 1, 2, 4
To find the median, you would:
Arrange the data set in ascending order: 1, 2, 3, 4, 5
Identify the middle observation, which is 3.
Therefore, the median of this data set is 3.
In summary, when the number of observations in a data set is odd, the median is the middle value when the data is arranged in ascending order.
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Describe the relationship between the two quantities. WILL GIVE BRAINLIEST NO JOKE ANSWERS PLEASE..
Answer:
Between the two quantities, the sales have a longer increase rate for dollars than the bicycle has for speed, and the bicycle travel had a good speed rate, but slowed down the increased again.
Step-by-step explanation:
Please can someone please tell me how to do thisss
Answer:
Rotate it 90°
Step-by-step explanation:
First graph D(-3, -10)
And a rotation of 90° clockwise is when you move the shape to the left 90°.
And that’s it
Answer:
I have a set of rules that should help you:
When rotating a point or shape 90 degrees counterclockwise switch the x and y values of that point and then change the sign (negative or positive) of the new x value. When rotating 90 degrees clockwise switch the x and y values of that point and then change the sign of the new y value. Finally when rotating 180 degrees just change the sign of both points to get your new value. Keep in mind that these rules only work when rotating around the origin which is (0,0)
IN this case, your point is -3, -10 and since we rotate it 90 degrees clockwise we just switch the x and y so it is now -10, -3 and then change the sign of the y which makes your final answer -10, 3
-Hope this helps
Step-by-step explanation:
Jackson elementary will have 320 first grade students next year, each class can have 16 students using the equation 16x= 320 , how many first grade classes will the school need?
Answer:
20
Step-by-step explanation:
320 = 16x
Our objective here is to isolate the variable (x) using inverse operations
First we want to get rid of 16
16x is the same as 16 times x( which is multiplication)
The inverse of multiplication is division so to get rid of the 16 we divide by 16 ( but note: whatever you do to one side you must do to the other ) so we divide both sides by 16
320/16=20
16x/16 = x
We would be left with x = 20
This meaning that they would need 20 first grade classes
Answer:
The school will need 20 first grade classes
Step-by-step explanation:
So think about it. There are 320 first grade students and each class can have 16 students which represents the equation 16x=320
All you need to do is solve the equation 16x=320
The equation is multplication. To undo multiplication you need to do division
So, x=320/16
x=20
So overall, your awnser is 20.