Answer:
x = (z-8)/(6-p)
Step-by-step explanation:
Here in this question, we are to solve for x.
In quite more understandable words, we are trying to make x the subject of the formula.
To do this, we simply bring together, the terms that have x common to them.
Let’s proceed mathematically;
z = 8 + 6x - px
Let’s take 8 to z to make it negative and factor out x since it’s common to the two terms on the right hand side of the equation.
z - 8 = x(6-p)
The final thing to do here is to isolate x and this gives the below;
We can do this by dividing both sides by the coefficient of x which is 6-p in this case.
Thus;
x = (z-8)/(6-p)
the number of significant digits for 5,000.06 is
Answer:
This has 6 significant digits
Step-by-step explanation:
5,000.06
This has 6 significant digits
We count from the first nonzero digit to the last nonzero digit
Answer
the answer is 6
Step-by-step explanation:
I the equation 3x^2+6x=12, the value of c is?
Answer:
c = -12
Step-by-step explanation:
Quadratic Standard Form: ax² + bx + c
Step 1: Write equation
3x² + 6x = 12
Step 2: Subtract 12 on both sides
3x² + 6x - 12 = 0
Here, we have the standard form of the quadratic. We see that our c = -12
Write an expression to find area of the shaded region in the given figure...
Answer:
[tex]\huge \boxed{{10x^2 + 12x \mathrm{\ units^2 }} }[/tex]
Step-by-step explanation:
area of shaded region = area of whole rectangle - area of unshaded region
Area of a rectangle is length × width.
A = 5x(3x+2) - (x(5x-2))
Expand brackets.
A = 15x² + 10x -(5x² - 2x)
Distribute negative sign.
A = 15x² + 10x - 5x² + 2x
Combine like terms.
A = 10x² + 12x
Use the figure below to answer the following question. Which of the following angles is NOT supplementary and adjacent to 1) 2) 3)All answers are supplementary and adjacent to 4)
Answer:
<NKJ
Step-by-step explanation:
*LAST QUESTION, PLEASE HURRY AND ANSWER* What is the volume of the cone below? (Use 3.14 for pi)
Answer:
The third: 5.32 cubic unitsStep-by-step explanation:
R = 1.52
H = 2.2
π = 3.14
[tex]V=\frac13\pi R^2\cdot H\\\\V=\frac13\cdot3.14\cdot(1.52)^2\cdot2.2=5.3200810\overline6\approx5.32[/tex]
Herbert has sold 90, 45, 103 and 68 appliances in the last four months, respectively. How many appliances will he need to sell this month to maintain an average of at least 77 sales per month
Answer:
The sale this month = 79
Step-by-step explanation:
Let the amount he needs to sell this month = x
[tex]Average = \frac{sum\ of\ individual\ data\ }{number\ of\ entries}[/tex]
[tex]Average= \frac{90\ +\ 45\ +\ 103\ +\ 68\ +\ x}{5}[/tex]
Note that number of entries = number of months = 5
To maintain an average sales of 77, the amount of sale in month 5 is determined as follows:
[tex]77 = \frac{306\ +\ x}{5} \\cross-multiplying\\77\ \times\ 5\ = 306\ +\ x\\385 = 306\ +\ x\\x =385\ -\ 306\\x = 79[/tex]
How many square inches are in 60 square fee
Answer:
8640 square inches
Step-by-step explanation:
There are 12 inches in one foot so there would be 12 * 12 = 144 square inches in 1 square foot. Therefore, there are 144 * 60 = 8640 square inches in 60 square feet.
For the given equation, identify the initial quantity.
10x=132
0
132
x
10
Answer:
13.2
Step-by-step explanation:
Given
[tex]10x = 132[/tex]
Required
Determine the initial quantity
The interpretation of this question is to solve for the value of x
To start with:
[tex]10x = 132[/tex]
Divide both sides by 10
[tex]\frac{10x}{10} = \frac{132}{10}[/tex]
[tex]x = \frac{132}{10}[/tex]
[tex]x = 13.2[/tex]
Hence, the initial quantity is 13.2
Answer:
1.D
2.B
3.A
4.C
5.D
Step-by-step explanation:
(2 + 5i)(4 + 3i) Multiply the following complex numbers and write your answer in the simplest a+bi form.
Answer:
-7+26i
Step-by-step explanation:
Use FOIL
2•4+2(3i)+5i•4+5i(3i)
Simplify by combining like terms for your answer
8+6i+20i-15
-7+26i
Increase 26 by 277%
Answer:
98.02
Step-by-step explanation:
Take 26 and multiply by 277%
26 * 277%
Change to decimal form
26 * 2.77
72.02
That is the amount of the increase
Now add it to the original amount
26+72.02
98.02
Answer:
98.02
Step-by-step explanation:
[tex]26 + 26 \times \frac{277}{100} \\ = 26 + 26 \times 2.77 \\ = 26 + 72.02 \\ = 98.02[/tex]
What is the value of y in the equation 5x + 2y = 20, when x = 0.3?
Hi there! Hopefully this helps!
--------------------------------------------------------------------------------------------------------
5(0.3) + 2y = 20
Answer: Y = 9.25.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~| 5(0.3) + 2y = 20
| Multiply 5 and 0.3 to get 1.5
\/
1.5 + 2y = 20
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
We subtract 1.5 from both sides.
2y = 20 - 1.5
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Subtract 1.5 from 20 to get 18.5.
2y = 18.5
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Divide both sides by 2.
[tex]y = \frac{18.5}{2}[/tex]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Expand [tex]\frac{18.5}{2}[/tex] = 9.25 by multiplying both numerator and the denominator by 10.
[tex]y =\frac{185}{20}[/tex]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Reduce the fraction [tex]\frac{185}{20} = 9.25[/tex] to lowest terms by extracting and canceling out 5.
[tex]y =\frac{37}{4}[/tex].
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
[tex]\frac{37}{4} = 9.25[/tex] in decimal form.
A rettangle is 10 inches smaller than it is wide. The perimeter of the
rectangle is 80 inches. Find the length and width of the rectangle.
a. Width = 25 Length = 15
b. Width = 30 Length = 20
c. Width = 25 Length = 35
d. Width = 20 Length = 30
e.Width = 15 Length = 25
f. Width = 35 Length = 25
Answer:
A. Width = 25 Length = 15
Step-by-step explanation:
Length = L = Width - 10
Width = W
Perimeter of a rectangle
=> 2 (L + B) = 80
=> 2 (W - 10 + W) = 80
=> 2 (2W - 10) = 80
=> 4W -20 = 80
=> 4W -20 + 20 = 80 + 20
=> 4W = 100
=> 4W/4 = 100/4
=> W = 25
Width = 25
Length = 25 - 10 = 15
So, the answer is A.
A square window has a perimeter of 184 inches. How long is each side of the window?
Answer: 46 inches
Step-by-step explanation: 184/4= 46
Dales house renovations went over budget by 18% and his original budget was 156,000 how much did he actually spend on his budgets?
Answer: $184,080
Step-by-step explanation:
First multiply 18% by the original budget to find how much the 18% of the budget was .
18% * 156,000 = 28080
Now add add 28080 to the original budget to find out how much she actually spent.
156,000 + 20,080 = 184,080
What number should be placed in the box to help complete the division calculation?
Answer:12
Step-by-step explanation:
Determine the equation of the exponential function with a common ratio of 2, a horizontal asymptote at y=4, and passing through the point (2,10).
Answer:
[tex]\bold{y=1.5\times 2^x+4}[/tex]
Step-by-step explanation:
Given:
Exponential function with common ratio 2.
Horizontal asymptote at y = 4
Passes through point (2, 10)
To find:
Equation of the exponential function ?
Solution:
Equation for an exponential function may be given as:
[tex]y=ab^x+c[/tex]
Where b is the common ratio and
c is the y value of horizontal asymptote.
[tex](x, y)[/tex] are the points on the function.
We are given that:
b = 2
c = 4
Let us put all the given values and find equation.
[tex]y=a\times 2^x+4[/tex]
Now, let us put [tex]x = 2, y = 10[/tex] to find the value of a.
[tex]10=a\times 2^2+4\\\Rightarrow a\times 2^2=10-4\\\Rightarrow a\times 4=6\\\Rightarrow a =1.5[/tex]
[tex]\therefore[/tex] the equation of exponential function is:
[tex]\bold{y=1.5\times 2^x+4}[/tex]
For each problem, find the missing value using the Pythagorean Theorem
Answer:
Step-by-step explanation:
A^2 + b^2 = c^, 8^2 + x^2 =17^2 , 64 + x^2 = 289, 64- 64 + x^2 = 289-64, x^2 = 225, square root x and 225, Leg1 = 15
Convert the following to scientific notation: 5050
Answer:
5.05*10³
Step-by-step explanation:
Put the decimal after the first digit and drop the zeroes. To find the exponent count the number of places from the decimal to the end of the number.5050 = 5.05 *1000 = 5.05*10³What is the image point of (-6, 9) after a translation left 4 uints and down 1 unit?
Answer:
(-10,8)
Step-by-step explanation:
So our original point is (-6,9).
A translation of 4 units to the left means that the x-value would go left by 4. In other words, we subtract 4 to -6. We subtract because going to the left means that it's going to the negative direction.
A translation of down 1 unit means that the y-value would go down by 1. In other words, we subtract 1. Again, we subtract because going downwards means that it's going to the negative direction.
Therefore, the new point would be:
[tex](-6-4,9-1)\\=(-10,8)[/tex]
Answer:
(-10,8)
Step-by-step explanation:
I hope this helps
Please help ASAP 100 points please :((
Answer:
Step-by-step explanation:
7). Since the points J, K and L are on a same line, these points are collinear.
8). Point M is a point which is on the same plane with the points J, K and L but it is not collinear as the points J, K, and L are.
9). Points J, K, L and M are on the same plane (horizontal plane) but point N is not coplanar with these points.
10). Since a plane is named using 3 points lying on it. Therefore, JKL is the appropriate name of the given plane with these points.
Answer:
JKL is the appropriate name of the given plane with these points.
Step-by-step explanation:
Find the area of the triangle below
Answer:
[tex]A=73.5\text{ cm}^2[/tex]
Step-by-step explanation:
The formula for an area of a triangle is:
[tex]A=\frac{1}{2}bh[/tex]
Where b is the base length and h is the vertical height.
From the triangle, we can see that the base is 21 cm while the vertical height is 7. Thus:
[tex]A=\frac{1}{2}(7)(21)[/tex]
Multiply:
[tex]A=\frac{1}{2}(147)[/tex]
Multiply:
[tex]A=73.5\text{ cm}^2[/tex]
And that's our answer :)
The Area of triangle is 73.5 square cm.
We have from the figure,
Base of triangle = 21 cm
Height of triangle = 7 cm
side of triangle = 15 cm
We know the formula for Area of Triangle
Area of Triangle = 1/2 x base x height
Now, plugging the value of base and height in the formula we get
Area of triangle = 1/2 x base x height
= 1/2 x 21 x 7
= 147/2
= 73.5 square cm
Learn more about Area here:
https://brainly.com/question/1631786
#SPJ6
solve 3(2x-5)=27 I need full workings out please x
Step-by-step explanation:
Hey, there!!
Here,
3(2x-5)=25 is given.
To slolve: x
Now,
Multiply (2x-5) by 3.
6x-15 = 27.
Shift (-15) on right side.
6x= 27+15
or, 6x= 42
Divide 42 by 6.
[tex]x = \frac{42}{6} [/tex]
Therefore, x= 7.
Hope it helps....
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Hi my lil bunny!
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
[tex]\boxed{x = 7}[/tex]
Let's solve your equation step-by-step.
[tex]3(2x-5)=27[/tex]
Step 1: Simplify both sides of the equation.
[tex]3(2x-5)=27[/tex]
[tex](3) (2x) + (3) (-5) = 27[/tex] (Distribute)
[tex]6x + -15 = 27[/tex]
[tex]6x - 15 = 27[/tex]
Step 2: Add 15 to both sides.
[tex]6x -15 + 15 = 27 + 15[/tex]
[tex]6x = 42[/tex]
Step 3: Divide both sides by 6.
[tex]\frac{6x}{6} = \frac{42}{6}[/tex]
[tex]x = 7[/tex]
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Have a great day/night!
❀*May*❀
Anybody wanna help me out...... PLEASE
Daredevil Danny was cliff jumping. He jumped off a cliff that was 1 4 . 2 14.214, point, 2 meters above the surface of the water. At the end of his jump, Danny was 2 . 3 2.32, point, 3 meters below the surface of the water.
Question:
Daredevil Danny was cliff jumping. He jumped off a cliff that was 14.2 meters above the surface of the water. At the end of his jump, Danny was 2.3 meters below the surface of the water.
The following equation describes this situation 14.2 + (-16,5) = -2.3 .
What does -16.5 tell us?
Answer:
The displacement between his current position and his initial position
Step-by-step explanation:
Given
[tex]Initial\ Position = 14.2m[/tex]
[tex]Final\ Position = -2.3m[/tex]
[tex]14.2 + (-16.5) = -2.3[/tex]
Required
What does -16.5 represents?
To understand this, we need to first calculate the displacement between his initial and final position
[tex]Displacement = Final\ Position - Initial\ Position[/tex]
[tex]Displacement = -2.3m - 14.2m[/tex]
[tex]Displacement = - 16.5m[/tex]
So: -16.5m is the total displacement from the start position (i.e. off the cliff) and current position (beneath the water surface)
Which of the binomials below is a factor of this trinomial?
X^2- 10x + 24
O A. X+4
O B. x-3
O c. x+3
O D. x.-4
Hi there! :)
Answer:
[tex]\huge\boxed{D, x -4}[/tex]
---- Starting with: ----
x² - 10x + 24
Since we have a leading coefficient of 1, simply find two numbers that sum up to -10 and multiply into 24.
By guessing and checking, we get the numbers -6 and -4. Put these into factors:
(x - 6)(x - 4)
Therefore, a binomial present in factored form is D. x - 4
10 points!!
Write the equation of a line perpendicular to the line 3x+7y=21 with a y-intercept of (0,2)
Tony rounded each of the numbers 154 and 145 to the nearest hundred. Which choice correctly compares the rounded numbers!
150 = 150
200 > 100
0154 > 145
200 = 200
Answer:
200 > 100
Step-by-step explanation:
154 rounded to the nearest hundred is 200 because 154 is closer to 200 than to 100. and 145 is closer to 100 than it is to 200 so we have 200 and 100 and we know that 200 is greater than 100 so we can conclude with 200 > 100
Determine the perimeter of the athletic track
Answer:
418.2477796 m
Step-by-step explanation:
You divide it in to a rectangle and 2 half circles (which will make a whole circle if added together) and solve them.
RECTANGLEP= 2( L + W) - - > 2 ( 102 + 60)= 324
Circle (has a circumference not a perimeter)Cf= 2лr^2 - - - > 2л(30)^2=30л
Together324 + 30л = 418.2477796 m
If f(y) = 5y - 3, determine the value of y' when: f(y) = 6.
Answer:
y = 9/5
4th Option
Step-by-step explanation:
Step 1: Write out function f(y)
f(y) = 5y - 3
Step 2: Define variable from problem
f(y) = 6
Step 3: Replace variable
6 = 5y - 3
Step 4: Add 3 to both sides
9 = 5y
Step 5: Isolate y by dividing both sides by 5
y = 9/5
Nghia bought a $650 personal
computer. She received a 10%
discount. What was the amount of
discount?
Answer:
65
Step-by-step explanation:
650x0.1=65
the answer is 65 dollars uwu
Answer:
$65
Step-by-step explanation:
10% of 650 is 65 because you multiply .1 and 650, or move the decimal one place to the left. because the question asks for the discount price, you would just find the discount.