Answer:
D) 12z -32
Step-by-step explanation:
Simplify to create an equivalent expression.
-4(z+3)-4(5-4z)}−4(z+3)−4(5−4z)
Choose 1 answer:
A) A -24z-32
B) B 12z+8
C) C 12z-32
D) D 12z+32
-4(z+3)-4(5-4z)
= -4z -12 -20 + 16z
= 12z -32 (D)
The sum of two numbers is 20 more than one of the numbers and 18 more than the other number. What are the two numbers?
Answer:
18 , 20Step-by-step explanation:
Let the numbers be x and y
Sum = x + y
Sum = one number + 20
[tex]x + y = x + 20[/tex]
Cancel equal terms on both sides of the equation.
[tex]y = 20[/tex]
Again,
Finding another number
Sum = other number + 18
[tex]x + y = y + 18[/tex]
Cancel equal terms on both sides of the equation
[tex]x = 18[/tex]
Hence, The two numbers are 18 and 20.
Hope this helps..
Best regards!
The polynomial 24x3 − 54x2 + 44x − 99 is factored by grouping.
24x3 − 54x2 + 44x − 99
24x3 + 44x − 54x2 − 99
4x(____) − 9(____)
What is the common factor that is missing from both sets of parentheses?The polynomial 24x^3 − 54x^2 + 44x − 99 is factored by grouping.
Answer:C
Step-by-step explanation:It’s C on edge
a 5 ounce bottle of hair conditioner is priced at $2.55. what is the price per ounce
Answer:
¢51
Step-by-step explanation:
The price of once ounce of hair conditioner is 2.55 divided by 5 which is equal to 0.51. Convert that into cents and you get: ¢51.
Which of the following exponential functions is represented by the graph? Question 15 options: A) ƒ(x) = (1∕2)x B) ƒ(x) = 2x C) ƒ(x) = −2x D) ƒ(x) = (1∕2)−x
Answer:
Option (A)Step-by-step explanation:
Let the equation of the exponential function is f(x) = a(b)ˣ
Two points (-2, 4) and (-1, 2) lie on the graph,
For (-2, 4),
By substituting the values in the given function,
[tex]4=a(b)^{(-2)}[/tex]
[tex]4=\frac{a}{b^{2} }[/tex] ------(1)
For second point (-1, 2),
[tex]2=a(b)^{-1}[/tex]
[tex]2=\frac{a}{b}[/tex] -----(2)
Dividing equation (1) by equation (2),
[tex]\frac{4}{2}=\frac{\frac{a}{b^2}}{\frac{a}{b} }[/tex]
[tex]2=\frac{a}{b^{2}}\times \frac{b}{a}[/tex]
[tex]2=\frac{1}{b}[/tex]
b = [tex]\frac{1}{2}[/tex]
From equation (1),
[tex]4=\frac{a}{(\frac{1}{2} )^2}[/tex]
4 = 4a
a = 1
Therefore, equation of the exponential function will be,
f(x) = [tex]1.(\frac{1}{2})^{x}[/tex]
[tex]f(x)=(\frac{1}{2})^x[/tex]
Option (A) will be the answer.
Answer:Answer:
Option (A)
Step-by-step explanation:
Let the equation of the exponential function is f(x) = a(b)ˣ
Two points (-2, 4) and (-1, 2) lie on the graph,
For (-2, 4),
By substituting the values in the given function,
------(1)
For second point (-1, 2),
-----(2)
Dividing equation (1) by equation (2),
b =
From equation (1),
4 = 4a
a = 1
Therefore, equation of the exponential function will be,
f(x) =
Option (A) will be the answer.
Step-by-step explanation:
which correctly describes how the graph of the inequality -4 -x >7 is shaded?
A. Above the dashed line
B. Above the solid line
C. Below the solid lime
D. Below the dashed line.
Answer:
b
Step-by-step explanation:
Write h(x) = x2 - 6x + 3 in vertex form by following these
steps:
Step 1: Model x2 - 6x + 3 by placing tiles in the Product
section. First place the x2 and -x tiles along the left
and top borders to form two sides of a square. Then
place the + tiles along the ends of the -x tiles.
The vertex form of the quadratic equation is:
[tex]h(x) = (x - 3)^2 - 6[/tex]
How to write the quadratic equation in vertex form?
For a quadratic equation:
[tex]y = a*x^2 + b*x +c[/tex]
With vertex (h, k), the vertex form is:
[tex]y = a*(x - h)^2 + k[/tex]
In this case, we have the equation:
[tex]h(x) = x^2 - 6x + 3[/tex]
To get the x-value of the vertex we use the general formula:
[tex]h = -(-6)/(2*1) = 6/2 = 3[/tex]
To get the y-value, we evaluate the function in x = 3, so we get:
[tex]h(3) = k = (3)^2 - 6*3 + 3 = -6[/tex]
So the vertex is (3, -6).
Then the vertex form is:
[tex]h(x) = (x - 3)^2 - 6[/tex]
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In its first year of operations, Roma Company reports the following. Earned revenues of $53,000 ($45,000 cash received from customers). Incurred expenses of $29,500 ($23,050 cash paid toward them). Prepaid $8,750 cash for costs that will not be expensed until next year.
Complete question :
In its first year of operations, Roma Company reports the following. Earned revenues of $53,000 ($45,000 cash received from customers). Incurred expenses of $29,500 ($23,050 cash paid toward them). Prepaid $8,750 cash for costs that will not be expensed until next year. calculate the first year's net income under both the cash basis and the accrual basis of accounting.
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following :
Earned revenue = $53,000
Cash received from customers = $45000
Incurred expenses = $29,500
Cash paid towards incurred expenses = $23,050
Cash which will not be expensed till next year = $8,750
Cash Accounting:
Cash received $45,000
Expenses ($23,050 + $8750) = $31,800
Net Income $(45,000 - 31,800) = $13,200
Accrual Accounting :
Revenue earned $53,000
Expenses incurred $29,500
Net income $(53,000 - 29,500) = $23500
The low temperature in degrees Fahrenheit for 5 days was – 5, – 7, – 2, 2, and – 3. What was the average low temperature for those days? (Please explain it in detail)
Answer:
-3
Step-by-step explanation:
To find the average of different numbers, first you add them all up. So -5+-7+-2+2+-3+=-15. Then, you divide the sum of all the numbers by the amount of numbers there were. So in this case, there were 5 numbers so we would divide the sum of all of them by 5. So now we do -15/5=-3.
Another example of finding the average of numbers is 15+4+10+9+3+1. So first we add them up and we get 42, then again, we divide by the amount of numbers there are. So we do 40/6 and we get 7, so the average is 7.
I hope this helped.
Copying figures 6b
Can anyone help me with this? If so can you better explain it to me on paper. I’m really confused.
Answer: see Steps 1 - 5 (attached)
Step-by-step explanation:
I completed #1 for you. Each image shows one of the steps.
Follow the exact same steps to complete #2 - #5
#6 asks for a double angle.
Add an extra item to step 3: Draw an arc from vertex through the line
--> then draw another arc from B' to the other side of your line (away from the dot) and label that intersection as B''. Use the measure of the vertex to B'' for the remaining steps.
If you need step-by-step images, you will need to post #6 separately as I can only upload 5 images per question.
13. If 16 people are needed to run 7 machines, how many people are needed to run 35 machines?
Answer:
80
Step-by-step explanation:
16 people =7
7*5= 16*5
35=80 people
Answer:
80 people are required to run 35 machines
Step-by-step explanation:
Write and solve an equation of ratios:
p 35
------- = -----
16 7
where p is the number of people needed to run 35 machines.
Cross-multiplying yields 7p = 16(35), or p = 16(5), or p = 80
80 people are required to run 35 machines.
*PLEASE ANSWER* If we decrease a dimension on a figure, how is the figure’s area affected? a.) The area decreases. b.) The area becomes 0. c.) The area increases. d.) The area remains the same.
Example: we have a 2 by 3 rectangle with area of 2*3 = 6. If we cut the first dimension in half, then we have a 1 by 3 rectangle that has area 1*3 = 3. The area has decreased. To keep the area the same, we would have to increase the other dimension some specific amount.
The area of the figure decreases when the dimension is decreased
What is the Area of a Rectangle?The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle
Area of Rectangle = Length x Width
Given data ,
Let the figure be represented as ABCD
where ABCD is a rectangle
Now , the measures of the sides of the rectangle be
The length of the rectangle = L
The width of the rectangle = W
And , Area of Rectangle = Length x Width
On simplifying , we get
Area of rectangle = LW
when the dimension of one of the unit is decreased , we get
when L = L/2
Area of rectangle = ( LW) / 2
So , the area of the figure is decreased bu ( 1/2 )
Hence , the area of the figure decreases
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Find the angle between the given vectors to the nearest tenth of a
degree.
U = 13i - 8j V = 2i + 9j
Answer: 109.1 degrees
Step-by-step explanation:
To find the angle between the given vectors, we will use the formula below:
Cos(θ) = (U.V)/ |U|.|V|
Where
U = 13i - 8j
V = 2i + 9j
U.V = (2x13) + (-8×9)
U.V = 26 - 72
U.V = - 46
|U| = sqrt ( 13^2 + 8^2)
= sqrt ( 233) = 15.264
|V| = sqrt( 2^2 + 9^2)
= sqrt ( 85 ) = 9.22
Substitute all the value of the parameters into the formula
Cos ø = -46 / (15.3 × 9.2)
Cos ø = - 46 / 140.72
Cos Ø = - 32687
Find the cos inverse of the value
Ø = cos^-1( -32687)
Ø = 109.079 degrees
Therefore, the angle between the given vectors to the nearest tenth of a degree is 109.1 degrees
Which category BEST fits the words on List 2? championship, challenge, tournament, rivalry, sports, performance, pageant, match. CHOICES: prizes, competitions, games, celebrities. I nEeD aNsWeR iN 24 hOuRs PlZ!!!!!!!!
Answer:
competitions
Step-by-step explanation:
I got it right.
Lincy is standing 20 feet from the circular wall of an above ground swimming pool and 49 feet from a point of tangency. Find the radius of the pool.
Answer:
the radius of the pool is 50.025 feet
Step-by-step explanation:
From the information given:
We can have a schematic view of a diagrammatic illustration in our mind where the distance of the pool to Lincy is (20 + r ) and the distance to the tangent is 49.
So; by using pythagoras theorem, since the radius meets the tangent at a right angle; we have:
[tex]r^2 + 49^2 = ( r + 20 )^2[/tex]
[tex]r^2 +2401 = r^2 + 40r + 400[/tex]
[tex]2401 = 40r + 400[/tex]
[tex]2401- 400 = 40r[/tex]
2001 = 40 r
r = 2001/40
r = 50.025 feet
sex(-x)-sin(-x)tan(-x)=cosx Note that each Statement must be based on a Rule chosen from the Rule menu. To see a detailed description of a Rule, select the More Information Button to the right of the Rule.
Answer:
Step-by-step explanation:
sec (-x)-sin (-x) tan (-x)=cos x
sec(x)-(-sin x)(-tan x)=cos x
1/cos x-sin x(sin x/cos x)=cos x
multiply by cos x
1-sin ²x=cos²x
or 1=sin²x+cos²x
which is true.
Please Help Me Asap Will Give BRAINLIEST What are the solutions to the system of equations? {y = 1/4x^2 − 2 y = −1/2x} Graph the system of equations to solve. (0, 0) and (−4, 2) (2.9, 0) and (−2.9, 0) (−4, 2) and (2, −1) (0, 0) and (0, −2)
Answer:
{y = 1/4x^2 − 2 y = −1/2x}
(0,0)
(-6,3)
Step-by-step explanation:
Rewrite as system of equations
y=-1/2x
1/4x^2-2y=-1/2x
Move expression to left and change its sign
y+1/2=0
1/4x^2-2y+1/2x=0
Multiply both sides of equation by 2
2y+x=0
1/4x^2-2y+1/2x=0
Sum the equation vertically and eliminate variable (2y)
3/2x+1/4x^2=0
Solve the equation
x=0
x=-6
Substitute the value of x into equation
y+1/2*0 = 0
y+1/2*(-6) = 0
Solve equation for y
y=0
y=3
so the solution is
(x1,y1)=(0,0)
(x2,y2)=(-6,3)
State the domain of the glven relation.
Answer:
x ≤ -1
Step-by-step explanation:
The domain is the x-values. Since the graph shows all numbers up to -1, the domain would be all numbers less than or equal to -1:
x ≤ -1
PLEASE HELP Draw the reflection of the figure over the line shown.
The answer is in the picture
1) Assume that Mike can walk 3 km per hour. If he had been walking for 5 hours away from the trail, create a table
of values to express how far he walked and graph his progress.
Answer:
see below for a table; see second attachment for a graph
Step-by-step explanation:
Each of the distance values in km in the table will be 3 times the time value in hours.
The slope of the line on the graph is 3. The practical domain of the distance function is 0 to 5 hours.
If tanx = 1, and 0< x < 90 degrees, find cos(x/2)? a. [tex]-\frac{\sqrt{2+\sqrt{2} } }{2}[/tex] b. [tex]\frac{\sqrt{2+\sqrt{2} } }{2}[/tex] c. [tex]\frac{\sqrt{2-\sqrt{2} } }{2}[/tex] d. [tex]-\frac{\sqrt{2}-\sqrt{2} }{2}[/tex]
Answer:
B is the correct answer.
Step-by-step explanation: If tanx=1, then cosx=√2/2. Use your half angle formulas to plug cosx in, and you should get B as your answer.
Given: XY - tangent to circles k1(P) and k2(O) OX=16, PY=6 and OP=26 Find: XY
Answer:
XY = 24 units
Step-by-step explanation:
First of all, we need to some construction here.
Let us draw a line parallel to XY from point P towards OX, which cuts OX at point Q.
Please refer to the attached figure.
Now, Let us consider triangle OQP which is a right angled triangle, with
Hypotenuse, OP = 26 units
Height, OQ = OX - PY = 16 - 6 = 10 units
Base, PQ = ?
We can use pythagorean theorem here to find the value of PQ.
According to pythagorean theorem:
[tex]\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}\\\Rightarrow OP^{2} = PQ^{2} + OQ^{2}\\\Rightarrow 26^{2} = OQ^{2}+10^{2} \\\Rightarrow PQ^{2} = 26^{2}-10^{2} \\\Rightarrow PQ^{2} = 676-100 \\\Rightarrow PQ^{2} = 576\\\Rightarrow PQ= 24\ units[/tex]
Now, we can see that side PQ is equal to side XY.
[tex]\therefore[/tex] XY = 24 units is the answer.
Please help
simplify the expression
a²b⁴-b²a⁴/ab(a+b)
Answer:
ab² - a²b
Step-by-step explanation:
a²b⁴ - b²a⁴ can be factored as a²b²(b² - a²) which becomes a²b²(b + a)(b - a). Since the numerator and denominator both have (a + b) and ab the final answer is ab(b - a) = ab² - a²b.
What is the approximate area of the shaded sector in the circle shown below? O A. 25 in2 4.3 in 155 B. 5.82 in2 IC O C. 11.63 in2 D. 50 in2 SUBMIT
Answer:
D. 25 inch²
Step-by-step explanation:
Area of sector of a circle =(r^2∅) /2
where,
r = radius of the circle
∅= angle subtended by the arc at the center of circle in radians.
Given :
∅ =155°
radius =4.3 in
Convert 155° to radian
πradian=180°
155°=π / 180°*155°
=2.705 radians
Area of sector of a circle =(r^2∅) /2
=(4.3^2 * 2.705) / 2
=(18.49 * 2.705) / 2
=50.01545 / 2
=25.007725 inch²
Approximately 25 inch²
25in^2
hope this helpsss ✓✓✓
What is the equation of the line that is parallel to y = negative two-thirds x + 4 and that passes through (–2,–2)? On a coordinate plane, a line goes through (3, 2), and (6, 0). A point is at (negative 2, negative 2). y = negative two-thirds x minus four-thirds y = negative two-thirds x minus StartFraction 10 Over 3 EndFraction y = negative two-thirds x minus two-thirds y = negative two-thirds x minus StartFraction 17 Over 4 EndFraction
Answer:
Option B.
Step-by-step explanation:
If equation of a line is y=mx+c, then m is the slope of line.
The given equation is
[tex]y=-\dfrac{2}{3}x+4[/tex]
Here, slope of line is [tex]m=-\dfrac{2}{3}[/tex].
We need to find the equation of line that is parallel to given equation and passes through (–2,–2).
We know that, slope of parallel lines are same. So, slope of required line is [tex]m=-\dfrac{2}{3}[/tex]. So, equation of line is
[tex]y-y_1=m(x-x_1)[/tex]
[tex]y-(-2)=-\dfrac{2}{3}(x-(-2))[/tex]
[tex]3(y+2)=-2(x+2)[/tex]
[tex]3y+6=-2x-4[/tex]
[tex]3y=-2x-4-6[/tex]
[tex]3y=-2x-10[/tex]
Divide both sides by 3.
[tex]y=\dfrac{-2x-10}{3}[/tex]
[tex]y=-\dfrac{2}{3}x-\dfrac{10}{3}[/tex]
Therefore, the correct option is B.
Answer:
B.) y = negative two-thirds x minus StartFraction 10 Over 3 EndFraction
Step-by-step explanation:
For the following right triangle, find the side length x. Round your answer to the nearest hundredth.
Answer:
Step-by-step explanation:
Pythagorean Theorem: a^2+b^2=c^2.
15^2+ b^2=25^2
225+b^2= 625
b^2=400
b= 20 or x=20
Answer:
x = 20
Step-by-step explanation:
This is a right triangle and we know 2 of the points so we can use the Pythagorean Theorem to solve. The formula for the Pythagoreom Theroem is a^2 + b^2 = c^2. Side a is 15 and Side b is x. Side c or the hypotenuse is 25. Let's solve for side b:
a^2 + b^2 = c^2
15^2 + b^2 = 25^2
225 + b^2 = 625
Subtract 225 from both sides to get b^2 alone.
b^2 = 625 - 225
b^2 = 400
Find the square root of both sides.
b = 20 or x = 20
Would appreciate it if you gave me brainliest answer :)
Please help me I have a lot of hw please 11=f-16
Answer:
f = 27
Step-by-step explanation:
11 = f - 16
Add 16 to both sides.
11 + 16 = f - 16 + 16
27 = f
What is the measure of the major arc?
A. 150
B. 190
C. 210
D. 105
Answer:
C.210
Step-by-step explanation:
360 degrees in a circle. 360-150=210
May someone help please fast! Thanks!
Answer:
10m
Step-by-step explanation:
We can set up an equation to solve this.
[tex]\frac{20}{25} =\frac{8}{x}[/tex]
This equation can be created since we are given two similar sides of both triangles.
Now, cross multiply and simplify to solve for [tex]x[/tex].
[tex]20x=200\\x=10[/tex]
The answer is sensible, and if you put 10 into the same equation from earlier, you will see that it is accurate.
Therefore, the value of [tex]x[/tex] is 10m.
Which is a factor of x2 + 5x − 24?
Answer:
(x−3)(x+8)
Step-by-step explanation:
The middle number is 5 and the last number is -24.
Factoring means we want something like
(x+_)(x+_)
Which numbers go in the blanks?
We need two numbers that...
Add together to get 5
Multiply together to get -24
Can you think of the two numbers?
Try -3 and 8:
-3+8 = 5
-3*8 = -24
Fill in the blanks in
(x+_)(x+_)
with -3 and 8 to get...
(x-3)(x+8)
I NEED HELP WILL GIVE BRAINLEST!!! PLZ HELP ME
Answer:
See below
Step-by-step explanation:
To create a dot plot:
We need to draw/put dots with the given data.
You'll find your answer in the attached file.
Let me know if it's not clear!