Answer:
The number is n-0.75
Step-by-step explanation:
Here in this question, we are interested in giving a number which is 75% of 1 less than a number n.
The first thing we do here is to calculate the value of 75% of 1.
That would be;
75/100 * 1 = 0.75
So this value less than n will be;
n- 0.75
Use suitable identities to find the product of 1) (x-4) (x+10) 2) (3x+4) (3x +5) 3) (-3a +5b +4c)^2
Answer:
Step-by-step explanation:
(x-4) (x+10) ⇒ (x+a)(x+b)=x²+(a+b)x+ab
a=-4 , b=10
x²+(-4+10)x+-4(10)
x²+6x-40
(3x+4) (3x +5)
3(x+4/3) *3(x+5/3) ⇒ identity : (x+a)(x+b)=x²+(a+b)x+ab
a=4/3 b=5/3
3*3=9
9[x²+(4/3 +5/3)x+4/3(5/3)]
9[x²+9/3 x+20/9]
9x²+27x+20
(-3a +5b +4c)^2 ⇒
suitable identity is (a+b+c)²= a² + b² + c² + 2ab + 2bc + 2ca
a=-3a , b=5b , c=4c
9a²+25b²+16c²- 30ab +40bc - 24ca
Given the following three points, find by hand the quadratic function they represent.
(-1,-8), (0, -1),(1,2)
(1 point)
Of(x) = -51% + 87 - 1
O f(x) = -3.2? + 4.1 - 1
Of(t) = -202 + 5x - 1
Of(1) = -3.1? + 10.1 - 1
Answer:
The correct option is;
f(x) = -2·x² + 5·x - 1
Step-by-step explanation:
Given the points
(-1, -8), (0, -1), (1, 2), we have;
The general quadratic function;
f(x) = a·x² + b·x + c
From the given points, when x = -1, y = -8, which gives
-8 = a·(-1)² + b·(-1) + c = a - b + c
-8 = a - b + c.....................................(1)
When x = 0, y = -1, which gives;
-1 = a·0² + b·0 + c = c
c = -1.....................................................(2)
When x = 1, y = 2, which gives;
2 = a·1² + b·1 + c = a + b + c...............(3)
Adding equation (1) to (3), gives;
-8 + 2 = a - b + c + a + b + c
-6 = 2·a + 2·c
From equation (2), c = -1, therefore;
-6 = 2·a + 2×(-1)
-2·a = 2×(-1)+6 = -2 + 6 = 4
-2·a = 4
a = 4/-2 = -2
a = -2
From equation (1), we have;
-8 = a - b + c = -2 - b - 1 = -3 - b
-8 + 3 = -b
-5 = -b
b = 5
The equation is therefore;
f(x) = -2·x² + 5·x - 1
The correct option is f(x) = -2·x² + 5·x - 1.
NEED ASAP What is the quotient and remainder of 8,595 ÷ 24?
Answer:
358.125
Step-by-step explanation:
Answer:
358 3/24
Step-by-step explanation:
A spray irrigation system waters a section of a farmer's field. If the water shoots a distance of 85 feet, what is the area that is watered as the sprinkler rotates through an angle of 60 degrees? Use 3.14 for pi . Round your answer to the nearest square foot, and enter the number only.
Answer:
The watered area is approximately 3783 square feet.
Step-by-step explanation:
The area that is watered due to the rotation of the spankler is a circular section area ([tex]A[/tex]), whose formula is:
[tex]A = \frac{\theta }{2}\times \frac{1}{360^{\circ}}\times 2\pi \times d^{2}[/tex]
Where:
[tex]d[/tex] - Water distance, measured in feet.
[tex]\theta[/tex] - Rotation angle, measured in sexagesimal degrees.
Given that [tex]d = 85\,ft[/tex] and [tex]\theta = 60^{\circ}[/tex], the watered area is:
[tex]A = \frac{60^{\circ}}{2} \times \frac{1}{360^{\circ}}\times 2\pi \times (85\,ft)^{2}[/tex]
[tex]A \approx 3783\,ft^{2}[/tex]
The watered area is approximately 3783 square feet.
Answer:176
Step-by-step explanation:
6 times 29.33333333333333
7 less than the quotient of a number 5 and w in a algebraic expression.
Answer:
5/w -7
Step-by-step explanation:
quotient means division
5/w
less than means it comes after
5/w -7
Answer:
5/w-7
Step-by-step explanation:
First, let's write out "the quotient of a number 5 and w"
The quotient is the result from dividing two numbers. Therefore, we must divide 5 and w.
5/w
Now, let's add on "7 less than". Since it is "less than" it will come after the division. "Less" means subtract. So, subtract 7 from 5/w.
5/w-7
7 less than the quotient of a number 5 and w as an expression is: 5/w-7
simplify 3^2/3 x 3^4/5
Answer: [tex]243/5[/tex]
[tex]3^2/3(3^4)/5\\=9/3(3^4)/5\\=3(3^4)/5\\=(3)(81)/5\\=243/5[/tex]
A spinner has 3 red spaces, 5 white spaces, and 1 black space. If the spinner is
spun once, what is the theoretical probability of the spinner NOT stopping on
red?
P(Not red) =
Answer:
[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
If we have 3 red spaces, 5 white spaces, and one blank space, there are a total of 9 spaces.
Since there are 3 red spaces, there is a [tex]\frac{3}{9} = \frac{1}{3}[/tex] chance of getting a red. However, the question asks the probability of not getting a red, so the chances of not getting a red are [tex]1 -\frac{1}{3} = \frac{2}{3}[/tex].
Hope this helped!
561
Worksheet
1. Assume that your kidneys can filter out 25% of medicine in your blood every 4 hours. You take one
1000-milligram dose of the medicine. Fill in the table showing the amount of the medicine in your
blood as a function of time. The first three data points are already completed.
At first you will have decimals. Round each value to the nearest milligram so there are no
decimals in your answers.
Time since taking the medicine (in hours)
Amount of medicine in blood (in milligrams)
0
1000
4
1000 - (1000 x 0.25) = 750
8
750 - (750 x 0.25) = 562.5 563
12
16
20
24
28
32
36
40 44 48 52 56
Answer:
12
563 - (563x0.25) = 422.25 -> 422
16
422 -(422x0.25) = 316.5 -> 317
20
317 - (317x0.25) = 237.75 -> 238
24
238 - (238x0.25) = 178.5 -> 179
28 (continue the step by step process)
134.25 -> 134
32
100.5 -> 101
36
75.75 -> 76
40
57
44
42.75 -> 43
48
32.25 -> 32
52
24
56
18
Step-by-step explanation:
the time interval has to keep skipping by four hours because the medicine is filtered in that amount of time.
The multiplying by 0.25 part must be done first in order to show how much the kidney has filtered.
after this, you need to subtract that from how many milligrams of medicine are left in your system
note that if you do not subtract, you will only be showing how much the kidney has filtered. the question asks for how much is left in the SYSTEM overall, so subtracting is quite necessary to completely answer the question.
I hope this helped.
A number is more than half of another number by 4. The difference of these two numbers is 2. Find these numbers.
Answer:
10,12
Step-by-step explanation:
let the two numbers be x and y
difference between x and y is 2
but y is ½x + 4
x -(½x+4) = 2
x - ½x - 4 = 2
½x = 6
x = 12
y = ½x + 4
y = 10
PLEASE help me solve this question! No nonsense answers please!
Answer:
10x -24 ft^2
Step-by-step explanation:
The area of the square is x^2
The area of the flower garden is lw
( x-4) ( x-6)
x^2 -6x-4x +24
x^2 -10x +24
Subtract the flower garden from the square to find the area of the patio
x^2 - ( x^2 -10x +24)
Distribute the minus sign
x^2 -x^2 +10x -24
10x -24
Answer:
c. 10x -24 sq. ft
Step-by-step explanation:
area of lot = x * x
area of garden = (x-4)(x-6) = x^2-10x+24
Area of patio
= area of lot - area of patio
= x^2 -(x^2-10x+24)
= 10x-24 sq.ft
Use inverse operations to solve each equation. Explain each step and identify the property used to reach step. 19 = h/3 - 8
==================================================
Explanation:
19 = h/3 - 8
19+8 = h/3 - 8+8 .... see note 1
27 = h/3
h/3 = 27
3*(h/3) = 3*27 .... see note 2
h = 81
----------
note 1: We add 8 to both sides to undo the "minus 8". This is the addition property of equality. Addition is the inverse of subtraction. note 2: We use the multiplication property of equality. This is where we can multiply both sides by the same number and keep the equation the same (basically balancing both sides). Multiplication is the opposite of division.Find the perimeter of the following rectilinear figure.
Answer:
54
Step-by-step explanation
You can't find the other sides, it may seem impossible, but you have to look at this problem in a different way. To find the perimeter of any figure you just need to know the top base, bottom base, right side, and left side.
We see that the top base equals to the bottom base as it is a rectilinear figure. You have to treat the side with 8 and side with 5 as one base. So they equal 13. Now do the same for the bottom.
So, 13 + 13 = 26
The right side is equal to the left side as it is a rectilinear figure, so the right side is 4 + 10 = 14. The left side is also 14.
So 14 + 14 = 28
26 + 28 = 54 units
Sorry, if I couldn't explain properly. I tried my best. As it is hard for me to explain in words. If I could draw it out, I could do better.
Answer:
45
Step-by-step explanation:
I broke the sections apart and then added:
14+14=28
13+13=26
26+28=54
how is this solved..?
Answer:
Range : { -5,1,7}
Step-by-step explanation:
Take the values in the domain and substitute into the equation
x = -3
y = -2(-3) +1 = 6+1 =7
x = 0
y = -2(0) +1 = 0+1 =1
x = 3
y = -2(3) +1 = -6+1 =-5
The range is the y values
We put then in order from smallest to largest
Range : { -5,1,7}
ajhejskxnkrlsncjeksuf9
what is the same number like 0.07
Answer:
we need more information
Step-by-step explanation:
What is the value of b?
Answer:
55°
Step-by-step explanation:
Perhaps you want the measure of angle B. (There is no "b" in the figure.)
That measure is half the measure of the intercepted arc:
m∠B = 110°/2 = 55°
Angle B is 55°.
4. You (or your parents) plan to pay $1,275.00/month for a mortgage. How much is the minimum (1 point)
realized income per month to the nearest penny?
i just did the test....^
The minimum realized income is $2,965.12 per month.
What is the debt-to-income ratio?Lenders typically use the debt-to-income ratio to assess a borrower's ability to repay a mortgage loan.
The debt-to-income ratio = borrower's total monthly debt payments ÷ gross monthly income.
We have,
To determine the minimum realized income per month we need to consider the debt-to-income ratio.
Lenders typically require a debt-to-income ratio of 43% or less.
So,
Assuming a debt-to-income ratio of 43%.
The minimum realized income per month.
= 1,275 / 43%
= 1275 / 0.43
= 2,965.12
Therefore,
The minimum realized income per month required to afford a mortgage payment of $1,275.00, assuming a debt-to-income ratio of 43%, is approximately $2,965.12 per month.
Learn more about debt to income ratio here:
https://brainly.com/question/20901566
#SPJ5
WILL GIVE ALL MY POINTS working alone, machine a takes 2 hours to build a car, working alone machine b takes 3 hours to build a car. if they work together for 1 hour and then machine b breaks, how much additional time will it take machine b to finish the job? please use the method 1/x+1/y=1/z
Answer:
It will take Machine A 20 additional minutes.
Step-by-step explanation:
First we have get the rate of work per hour, Machine A builds 1/2 of a car per hour, while Machine B builds 1/3 of a car per hour.
Using this we can determine the amount of work that has been done so far in one hour before Machine B broke down:
1/2 + 1/3 = 3/6 + 2/6 = 5/6
Now we can produce an equation accordingly to determine how much time it'll take machine a to finish the job:
5/6 + 1/2x = 1
1/2x = 1/6
x = 1/3 hours = 20 minutes
Note: In the question you typed "how much additional time will it take machine b to finish" but I think you meant machine a because machine b broke down. Please correct me if I'm wrong.
Hope this helps! And let me know if you have any questions!
Can someone please help me with this problem?? **It's high-school geometry.
Hello!
Answer:
[tex]\huge\boxed{59.04 units}[/tex]
To solve, we will need to use Right-Triangle Trigonometry:
Begin by solving for angles ∠S and ∠R using tangent (tan = opp/adj)
tan ∠S = a / (1/2b)
tan ∠S = 3√5 / 14
tan ∠S ≈ 0.479
arctan 0.479 = m∠S (inverse)
m∠S and m∠R ≈ 25.6°
Use cosine to solve for the hypotenuse, or the missing side-length:
cos ∠S = 14 / x
x · cos (25.6) = 14
x = 14 / cos(25.6)
x ≈ 15.52
Both triangles are congruent, so we can go ahead and find the perimeter of the figure:
RS + RQ + QS = 28 + 15.52 + 15.52 = 59.04 units.
Hope this helped you! :)
Answer:
[tex]\large \boxed{\mathrm{59.05 \ units}}[/tex]
Step-by-step explanation:
Take one small triangle, solve for hypotenuse.
[tex]\frac{b}{2} =\frac{28}{2} =14[/tex]
Use Pythagorean theorem.
[tex]c=\sqrt{(3\sqrt{5})^2 +14^2 }[/tex]
[tex]c= 15.524175...[/tex]
Add the hypotenuse twice because there are two triangles, then add to the length of b to find the perimeter.
[tex]15.524175...+15.524175...+28[/tex]
[tex]59.048349...[/tex]
Which line is parallel to line r? line p line q line s line t
Answer:
Line S
Step-by-step explanation:
Answer:
line s
Step-by-step explanation:
coz if you extend both the line (line r and line s )
they will not intersect at any point...
plz let me know if it was helpful to you dude!
The height h (in feet) of an object t seconds after it is dropped can be modeled by the quadratic equationh = -16t2 + h0, where h0 is the initial height of the object. Suppose a small rock dislodges from a ledge that is 255 ft above a canyon floor. Solve the equation h = -16t2 + 255 for t, using the quadratic formula to determine the time it takes the rock to reach the canyon floor.
Answer:
The time it takes the rock to reach the canyon floor is approximately 4 seconds.
Step-by-step explanation:
The equation representing the height h (in feet) of an object t seconds after it is dropped is:
[tex]h=-16t^{2}+h_{0}[/tex]
Here, h₀ is the initial height of the object.
It is provided that a small rock dislodges from a ledge that is 255 ft above a canyon floor.
That is, h₀ = 255 ft.
So, when the rock to reaches the canyon floor the final height will be, h = 0.
Compute the time it takes the rock to reach the canyon floor as follows:
[tex]h=-16t^{2}+h_{0}[/tex]
[tex]0=-16t^{2}+255\\\\16t^{2}=255\\\\t^{2}=\frac{255}{16}\\\\t^{2}=15.9375\\\\t=\sqrt{15.9375}\\\\t=3.99218\\\\t\approx 4[/tex]
Thus, the time it takes the rock to reach the canyon floor is approximately 4 seconds.
Answer:
t=4
Step-by-step explanation:
ed2020
PLEASE HELP ME !!!!!!!!!!!!!!!!!
Answer:
2
Step-by-step explanation:
The series is a geometric series with a common ratio (r) of 1/2 and a first term (a1) of 1/2^0 = 1. The sum of such a series is given by ...
S = a1/(1 -r) 1/(1 -1/2) = 2
The sum of the series is 2.
-4.1=8(y-5) it says solve equation
[tex]\text{Solve for y:}\\\\-4.1=8(y-5)\\\\\text{Use the distributive property}\\\\-4.1=8y-40\\\\\text{Add 40 to both sides}\\\\35.9=8y\\\\\text{Divide by 8}\\\\\boxed{4.4875=y}\\\\[/tex]
please hurry!!!! Show that (2, 1) is a solution of the system of equations. x + 3y = 5, y = –x + 3 Substitute (2, 1) into x + 3y = 5 to get 1 + 32 = 5 . Simplify the equation to get . Substitute (2, 1) into y = –x + 3 to get . Simplify the equation to get .\
Answer:
see below
Step-by-step explanation:
x + 3y = 5,
y = –x + 3
Substitute the point into each equation and verify that it is true
x + 3y = 5, 2 +3(1) = 5 5 = 5 true
y = -x +3 1 = -2+3 1=1 true
(2,1) is a solution
Answer:
D,A,A,A,
Step-by-step explanation:
that's the real answer
1d
2a
2a
2a
God bless
Find the value of x in the figure below.
A. 25
B. 35
C. 45
D. 65
Answer:x=45
Step-by-step explanation:
Which of the following is a solution of y > |x| - 6? A(-1, -5) B(-5, 1) C(5, -1)
Answer:
B(-5, 1)
Step-by-step explanation:
We can test each value in the equation and see if the equation works out.
[tex]y > |x| - 6[/tex]
Let’s try A - (-1, -5).
[tex]-5 > |-1|-6\\\\-5 > 1-6\\-5>-5[/tex]
-5 is NOT greater than -5, it is equal so A doesn’t work.
Let’s try B, (-5, 1).
[tex]1 > |-5| -6\\1 > 5-6\\1 > -1[/tex]
1 IS greater than -1, so B works.
Let’s try C for fun.
[tex]-1 > |5| -6\\-1 > 5-6\\-1 > -1[/tex]
-1 is NOT greater than -1, it is equal, so it doesn’t work.
Hope this helped!
Answer:
B(-5,1)
Let us simply just write this in all scenarios.
A(-1,-5)
-5>|-1|-6
-5>-5
(False)
B(-5,1)
1>|-5|-6
1>-1
(True)
C(5, -1)
-1>|5|-6
-1>-1
False
Solve this quadratic equation.
[tex]2x {}^{2} - 5x + 2 = 0[/tex]
Answer:
x = 1/2 or 2
Step-by-step explanation:
You can factor this as ...
2x^2 -4x -x +2 = 0 . . . rewrite the middle term to enable factoring
2x(x -2) -1(x -2) = 0 . . . . factor by grouping
(2x -1)(x -2) = 0 . . . . factor out (x -2)
x = 1/2, 2 . . . . . . values of x that make the factors zero
The function f is defined by the following rule
f (x) - 5+1
Complete the function table.
-5
-1
0
2
3
Answer:
The answer to your question is given below.
Step-by-step explanation:
1. f(x) = 5x + 1
x = – 5
f(x) = 5x + 1
f(–5) = 5(–5) + 1
f(–5) = –25 + 1
f(–5) = –24
2. f(x) = 5x + 1
x = – 1
f(x) = 5x + 1
f(–1) = 5(–1) + 1
f(–1) = –5 + 1
f(–1) = – 4
3. f(x) = 5x + 1
x = 1
f(x) = 5x + 1
f(1) = 5(1) + 1
f(1) = 5 + 1
f(1) = 6
4. f(x) = 5x + 1
x = 2
f(x) = 5x + 1
f(2) = 5(2) + 1
f(2) = 10 + 1
f(2) = 11
5. f(x) = 5x + 1
x = 2
f(x) = 5x + 1
f(3) = 5(3) + 1
f(3) = 15 + 1
f(3) = 16
Summary
x >>>>>>>> f(x)
–5 >>>>>> – 24
–1 >>>>>> – 4
1 >>>>>>>> 6
2 >>>>>>> 11
3 >>>>>>> 16
what is the greatest common factor of 48,24,and 32
Answer:
8
Step-by-step explanation:
gcf
Create an equivalent ratio to 35:40 by dividing both sides by 5. What is the equivalent ratio?
Answer:
35:40 = 7:8 is the equivalent ratio.
Step-by-step explanation:
35 / 5 = 7
40 / 5 = 8
=
7:8
Answer:
the equivalent ratio is 35:40 = 7:8
Step-by-step explanation:
35 divided by 5= 7
40 divided by 5= 8
=7:8
