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.
What is the value of x to the nearest tenth? The figure is not drawn to scale.
5.4
6.3
11.2
x
Answers:
A. x=2.1
B. x=3.4
C. x=9.6
D. x=13.1
Answer:
we need picture
Step-by-step explanation:
probaby d tho
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.
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
Based on the function F(x) = x^4 - 3x^3+ x^2 +2 and the graph of G(X) below,
which of the following statements is true?
Answer:
Option A
Step-by-step explanation:
According to the graph it never crosses the x axis meaning that it has 0 roots beecasue roots is another word for x-values.
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
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:
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.
Rewrite the formula to determine the number of tickets they need to sell
Answer:
n = [tex]\frac{p}{(d-c)}[/tex]
Step-by-step explanation:
The goal is to solve for n meaning n needs to be by itself. In the current formula, n is multiplied by (d-c). Get n by itself by dividing both sides by (d-c).
Akira receives a prize at a science fair for having the most informative project. Her trophy is in the shape of a
square pyramid and is covered in shiny gold foil.
3 in
How much gold foil did it take to cover the trophy, including the bottom?
inches
Answer:
45 square inches
Step-by-step explanation:
Akira receives the prize at the science fair for having the most informative project her trophy is in the shape of a square pyramid and is covered in shiny gold foil how much gold foil did it take to cover the trophy including the bottom
Total surface = surface area of the base square + area of 4 triangles
Calculate the surface area of the base square
surface area of the square = s^2
where s= side length
s=3 in
The surface area of the base =s^2
=3^2
= 9 square inches
The surface area of the side triangles
The area of the triangle = (1/2)* side length* slant height
Side length=3 in
Slant height=6 in
substituting the values,
The area of the triangle =1/2*3*6
= 18/2
= 9 square inches
There are 4 triangles
The area of 4 triangles = 4 x 9
= 36 square inches
Therefore,
Total surface = surface area of the base square + area of 4 triangles
= 9 + 36
= 45 square inches
Answer:
IT'S 216 TRUST ME!
Step-by-step explanation:
Perform the required operationson the following functions.
Given: f(x) = 3 - x; g(x) = -2x
Find g[f(x)]
2x-6
2x+3
-x-6
Answer:
2x-6
Step-by-step explanation:
g[f(x)]
g(3-x)
-2x(3-x)
2[tex]x^{2}[/tex]-6x
2x-6
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!
PLZ I WILL GIVE BRAINLIEST AND IT HAS 20 POINTS The volume of a cylinder is approximately 72 feet cubed. Which is the best approximation of the volume of a cone with the same base and height as the cylinder? 24 feet cubed 216 feet cubed 24 pi feet cubed 216 pi feet cubed
Answer:
24 feet cubed
Step-by-step explanation:
When comparing the volume formula for a cone and the volume formula for a cylinder, a cone is 1/3 of a cylinder. Therefore, divide 72 by 3 to get the volume of a cone with the same base and height. It would not be 24 pi feet cubed because 72 feet cubed is already multiplied by the pi.
Answer:
24 feet cubed
Step-by-step explanation:
Volume formula:
V cylinder = BhV cone = 1/3BhThe ratio:
V cylinder / V cone = Bh ÷ 1/3BhV cylinder / V cone = 3 ÷ 1Plugging in the value of cylinder to find the value of cone:
72 ÷ x = 3 ÷ 1x= 72 ÷ 3x= 24 ft³24 feet cubed is the best estimate
Consider the following function. F(x)=3/2+4 Using the given function, plot all the ordered pairs for the values in the domain below. (-8,-4,-2,0,2,4)
Answer:
zephyr
Step-by-step explanation:
ez i am god of thunder
Harrison ordered 6 cases of pickles for his restaurants. Each case contained p jars of pickles. Harrison delivered an equal number of jars to each of his 7 restaurants. Which expression represents the number of jars of pickles that each restaurant received? A. 6p-7 B. [tex]\frac{6p}{7}[/tex] C. 6p+7 D. 7(6+p) E. [tex]\frac{6}{7p}[/tex]
Answer:
B. 6p/7
Step-by-step explanation:
6p = the total amount of pickles
The problem says that he distributes them evenly to 7 restaurants, so that's dividing.
So your answer is 6p/7
Answer: b 6p/7
Step-by-step explanation: 6p = the total amount of pickles. The problem says that he distributes them evenly to 7 restaurants, so that's dividing. So your answer is 6p/7.
Why Taraaaaaaa >:C Can somebody please help me?
Answer:
4 hours
Step-by-step explanation:
3/5 of 8 hours
3/5 * 8 = 4.8 hours
Then she lost 1/6 of the 4.8 hours
4.8 * 1/6
.8
4.8 - .8 = 4
She got 4 hours of sleep
Graph the image of this triangle after a dilation with a scale factor of 2 centered at the origin.
==================================================
Explanation:
Let's label the corner points of the triangle A,B,C starting at the origin and moving clockwise
A = (0,0)
B = (2,-4)
C = (-4,-4)
Dilating with a scale factor 2 means we multiply each coordinate of each point by the value 2
A = (0,0) becomes A' = (0,0). No change happens. This point is fixed
B = (2,-4) becomes B' = (4,-8). This point does move
C = (-4,-4) becomes C' = (-8,-8). This moves as well
So all you need to do from here is draw triangle A'B'C'.
-----------------
Side note: the lengths of triangle A'B'C' are twice as long as their counterparts on triangle ABC. Consequently, this means the perimeter of A'B'C' is twice as long as the perimeter of ABC. Also, triangle A'B'C's area is four times larger than the area of triangle ABC.
Triangle with the three corner points at
A' = (0,0). B' = (4,-8). C' = (-8,-8). what is Dilation?Meaning of Dilation in Math. Resizing an item uses a transition called dilation. Dilation is used to enlarge or contract the objects. The result of this transformation is an image with the same shape as the original.
Given:
Let's label the corner points of the triangle A,B,C starting at the origin and moving clockwise
A = (0,0)
B = (2,-4)
C = (-4,-4)
Dilating with a scale factor 2
A = (0,0) --> A' = (0,0).
B = (2,-4) --> B' = (4,-8).
C = (-4,-4) --> C' = (-8,-8).
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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)
two fifths of a number equals 564. what is the number
Answer:
1410
Step by step explanation:
2/5x=564
5/2*2/5x=564*5/2
x=1410
Proof: 2/5*1410=564
Hope it helps <3
Answer:
1410
Step-by-step explanation:
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.
i neeed help i want help i will mark brainlisst if i can do that
Answer:
1/4
Step-by-step explanation:
there are 12 options, and only three are correct. 3/12 simplifies to 1/4
Answer:
1/4
Step-by-step explanation:
There are 12 possible outcomes
The ones that have a head and an even number are H2 H4 H6
P( head and even number) = head and even number/ total outcomes
= 3/ 12
=1/4
If 20a-16=12(3-a), then a=?
a)5/8
b)13/8
c)21/16
d)5/2
ANSWER: B. 13/8
STEP BY STEP THING:
20a−16=12(3−a)
20a−16=−12a+36
32a−16=36
32a=52
32a/32 = 52/32
a = 13/8
Answer:
13/8 or 1.625
Step-by-step explanation:
1)combine like terms 2)isolate the variable(a) to one side of the equation 3) use multiplicative or division properties x=13/8 or 1.625
The volume of a soup can with height of 6 cm and diameter of 4.4 cm = ____________ cm3. Use 3.14 for pi.
Answer:
about 91.2 cm³
Step-by-step explanation:
Radius (r) = diameter / 2 = 4.4 / 2 = 2.2
Volume of cylinder = πr²h, we know π = 3.14, r = 2.2 and h = 6
V = 3.14 * 2.2² * 6 = 91.2
Answer:
91.2
Step-by-step explanation:
To find the volume you need to use the formula [tex]\pi r^2h[/tex]
When you substitute all of the numbers the answer will be 91.1856
The graph shows the function f(x) = |x-hl + k. What is
the value of h?
h = -3.5
h=-1.5
h = 1.5
h = 3.5
the graph show
the value of h is 3.5
The value of h is -1.5.
The correct option is B.
What is Function?A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.
We have,
function f(x) = |x - h| + k and the vertex of function is (h, k).
Here, in this question,
the vertex of the point in the graph (-1.5, -3.5).
Thus, the value of h is -1.5.
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If the trapezoid is reflected over the line segment BC, what will be the new coordinates of point A?
Answer:
(13,15)
Step-by-step explanation:
If the trapezoid were to be reflected over the line segment BC, the new coordinates of point A would be (13,15) as it moves to right 5 points from BC sides.
Answer:
(B) 13,15
Step-by-step explanation:
If we look at point A in relation to point B, we see that it's 5 units to the left and 3 units down from point B, therefore making it at (3,15). Now, if we reflect across line BC (which is a y-axis) then we change the X value, not the y value. If the line BC is located at X=8, then the X value will be 8+5, since point A is 5 units away from the line BC. The y value will stay the same because we are reflecting over only one axis. 8+5 = 13, and the y stays at 15, so the new point value of A would be (13,15).
Hope this helped!
PLEASE HELP Draw the reflection of the figure over the line shown.
The answer is in the picture
What properties must a quadrilateral possess in order for the quadrilateral to be classified as a.. trapezoid isosceles trapezoid
Answer:
Step-by-step explanation:
The typical isosceles trapezoid will have a uniform width, measured vertically, but two ends that are not square (not perpendicular to the x-axis. The two sloping ends are congruent (their slopes have exactly the same slope.
The same could be said of an isosceles trapezoid that is vertical; the sloping ends have the same slope.
Answer:
2 parallel sides
2 non-parallel, congruent sides
Step-by-step explanation:
As any other quadrilateral, an isosceles trapezoid has 4 sides. 2 sides must be parallel. The other two sides cannot be parallel but must be congruent.
*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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Select the correct answer from each drop down menu?
Answer: Area of Fountain = 147/147.58
Area of Circular path = 28.26
Step-by-step explanation:
formula for area of circle = pi x r^2
radius of fountain - [tex]\\ \sqrt{47} \\[/tex]
area= 22/7 x 47 (as [tex]\sqrt{47}[/tex] is squared)
=147
radius of circular path - [tex]\sqrt{56}[/tex]
area= 22/7 x 9 ( [tex]\sqrt{56}[/tex] is radius and [tex]\sqrt{47}[/tex] is of the fountain subtract them you'll get 9 )
=28.26
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.