The number of triangles that are displayed can be found to be 216 triangles.
How to find the number of triangles ?Each rectangular tile has a decorative pattern of 3 equal-sized squares, and each square is divided into 2 same-sized triangles. Therefore, each tile has 3 squares * 2 triangles per square = 6 triangles.
Marnie uses 36 of these tiles on the wall behind her kitchen stove. To find the total number of triangles displayed, multiply the number of triangles per tile by the total number of tiles:
Total triangles = 6 triangles per tile x 36 tiles = 216 triangles
So, there are 216 triangles displayed on the wall behind Marnie's kitchen stove.
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The polynomial function f has exactly one positive zero. Approximate the zero correct to two decimal places.
f(x) = 2x² - 1
-16x³-3x²-8x-2
The positive zero of f is approximately
(Round to two decimal places as needed.)
A particular sawdust pile has a base diameter of 35 feet when the height is 30 feet. Find the volume of this sawdust pile when it is 40 feet high.
If the base diameter of the sawdust pile is 35 feet when the height is 30 feet, then when it is 40 feet high, the diameter will be 46.7 feet, while the volume will be 68,545.37 feet³.
What is the volumeThe volume refers to the capacity of a three-dimensional object.
The formula for volume with diameter and height is V = πd²h/4.
Base diameter of the sawdust pile = 35 feet
Height = 30 feet
Base diameter of the sawdust pile when the height is 40 feet = 46.7 feet
(35/30 x 40)
Given height = 40 feet
Computed base diameter = 46.7 feet
Volume = πd²h/4
= 22/7 x 46.7² x 40/4
= 3.143 x 2,180.89 x 10
= 68,545.37 feet³
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Please help I’ll upvote your work
The solution set of f(x) > 0 is x ∈ (-2, 8).
What is the set of the function?
To find the solution set of f(x) > 0, we need to first determine the critical values of x where f(x) changes sign.
Let's start by finding the domain of the function:
x² - 6x - 16 ≠ 0
We can solve for x by using the quadratic formula:
x = [6 ± √(6² + 4(16))]/2 = [6 ± √52]/2 = 3 ± √13
So the domain of f(x) is (-∞, 3 - √13) U (3 + √13, ∞).
Now let's factor the numerator and denominator of f(x):
f(x) = (x + 10)/[(x - 8)(x + 2)]
The critical points occur where the numerator or denominator of f(x) changes sign.
The numerator changes sign at x = -10, and the denominator changes sign at x = -2 and x = 8.
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Is (2, 3) a solution to this system of equations?
y = -2x + 7
y = x + 1
yes
no
Answer:
Yes.
Step-by-step explanation:
(2, 3) means we'll let x be 2 and y be 3. Let's solve both equations first:
y = -2x + 7
3 = -2(2) + 7
3 = -4 + 7
:. 3 = 3
Okay, so one half is proven. Let's do the other half now.
y = x + 1
3 = 2 + 1
3 = 3
:. (2,3) is a solution to the system of equations.
HELP PLEASE!!
refer to picture!!
The null and alternative hypotheses that apply are as follows:
H0: p ≤ 0.54, which claims that the proportion of pupils finishing class with a grade of A, B, or C in this experimental curriculum is no greater than 54%.
H₁: p > 0.54, according to the alternative hypothesis, asserts that the rate of students concluding the course with an A, B, or C grade in its experimental form must be above 54%.
How to explain the hypothesisThe letter "p" represents the proportion of student grades in the experimental program who reach either A, B, or C levels.
The null hypothesis is that the proportion of pupils finishing class with a grade of A, B, or C in this experimental curriculum is no greater than 54%.
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Square Root Property
1. 9(18)^2=324 the first problem is that you multiply 9 by 18 twice then you add and you will get your answer
need help with this rational functions homework question
The sketch of the graph of y = 1/f(x) is added as an attachment
Sketching the graph of y = 1/f(x)To find the function equation, we need to determine the factors of the equation based on the zeros of the function.
Since the zeros of the function are at x = -5, -1, and 4, the factors of the equation will be:
(x + 5), (x + 1), and (x - 4)
Multiplying these factors together gives us:
f(x) = a(x + 5)(x + 1)(x - 4)
To find the value of the constant term a, we can use the fact that the graph passes through the point (0, -4):
-4 = a(0 + 5)(0 + 1)(0 - 4)
-4 = -20a
So, we have
a = 1/5
Therefore, the function equation is:
f(x) = 1/5(x + 5)(x + 1)(x - 4)
For the graph of y = 1/f(x), we have
y = 5/[(x + 5)(x + 1)(x - 4)]
See attachment for the graph
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The central angle of a circle measures 97 degrees and intercepts a minor arc. What is the measure of its major arc?
Answer:
D. 263 degrees
Step-by-step explanation:
We know that central angles are congruent to the arcs they encompass or intercept. So, if the minor arc is 97 degrees, and the total measure of a circle's arcs are 360 degrees, then the major arc is 263 degrees.
Therefore, the answer is D.
Anthony has decided to purchase a $19,000 car. He plans to put 20% down toward the purchase and to finance the rest at a 6.8% interest rate for 4 years. Find his monthly payment.
Find the total price Anthony paid for his vehicle.
The monthly payment and total price paid by Antony at interest rate of 6.8% for vehicle is $362.59 and $21204.4 respectively.
Cost price of the car Antony decided to purchase = $19,000
Down payment = 20% of purchase value
Interest rate of amount to be finance = 6.8%
Time period of finance amount = 4 years
Down payment = 0.2 × $19,000
= $3,800
Amount that Anthony needs to finance,
Amount to finance = $19,000 - $3,800
= $15,200
The monthly payment , use the formula for the monthly payment on a loan,
M = P × r × (1 + r)ⁿ / ((1 + r)ⁿ - 1)
where M is the monthly payment,
P is the principal the amount to finance
r is the monthly interest rate
n is the total number of payments which is the number of years multiplied by 12
The monthly interest rate is 6.8% / 12 = 0.00567,
and the total number of payments is 4 × 12 = 48.
Substituting these values into the formula, we get,
⇒M = $15,200 × 0.00567 × (1 + 0.00567)⁴⁸ / ((1 + 0.00567)⁴⁸ - 1)
⇒M = $15,200 × 0.00567 × 1.3118 / (1.3118 -1)
⇒M = $15,200 × 0.00567 × 1.3118 / 0.3118
⇒M = 113.056 / 0.3118
⇒M ≈ $362.59
Anthony's monthly payment will be about $362.59
Total price that Anthony paid for his vehicle,
add up the down payment and the total amount of payments over the 4-year period.
Total price = $3,800 + ( $362.59 × 48)
= $21204.4
Therefore, the monthly payment and the total price at interest rate of 6.8% that Anthony paid for vehicle is $362.59 and $21204.4 respectively.
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In Math town,60% of the population are males and 30% of them have brown eyes. Of the total math town population 28 % have brown eyes. What percentage of the females in math town have brown eyes?
25% percent of the females in Math town have brown eyes. To find the number of females with brown eyes, we need to subtract the number of males with brown eyes from the total number of people with brown eyes
what is percent ?
A percent is a way of expressing a number as a fraction of 100. The symbol for percent is %, which means "per hundred".
In the given question,
Let's assume that there are 100 people in Math town.
60% of them are males, so there are 60 males and 40 females.
Out of the 60 males, 30% have brown eyes, so there are 18 males with brown eyes.
28% of the entire population have brown eyes, so there are 28 people with brown eyes.
To find the number of females with brown eyes, we need to subtract the number of males with brown eyes from the total number of people with brown eyes:
28 - 18 = 10
So, there are 10 females with brown eyes.
Out of the 40 females in Math town, what percentage have brown eyes?
10 brown-eyed females out of 40 females is:
10/40 = 0.25 or 25%
Therefore, 25% of the females in Math town have brown eyes.
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Find the measure of x in circle C shown below.
x =
(50 points will give brainiest for effort)
The measure of the value of x in the circle given is calculated as equal to: x = 12.
How to Find the Measure of x in the Circle?A semicircle is a two-dimensional shape that is half of a circle, consisting of a curved boundary or arc and a diameter or straight line segment that connects the two endpoints of the arc. This is always equal to 180 degrees.
Therefore, we have the equation:
12x + 6 + 3x - 6 = 180
Combine like terms:
15x = 180
Divide both sides by 15
x = 180/15
x = 12
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The circular bases of the traditional teepees of the Sioux and Cheyenne tribes have a diameter of about 15 ft. What is the area of the base? Round to the nearest square unit.
A. 707ft2
B. 47ft2
C. 24ft2
D.177ft2
Answer:
D. 177 ft²
Step-by-step explanation:
the area of a circle is
pi×r²
r is the radius which is half of the diameter, of course.
so, in our case
area = pi×(15/2)² = pi×7.5² = pi×56.25 =
= 176.7145868... ft² ≈ 177 ft²
writ the rate in lowest terms can a printer print 5 pages in 10 seconds
Answer:
1/2 page per second
Step-by-step explanation:
5/10 ÷ 10/10 = .5/1 = .5 or 1/2 page per second.
Helping in the name of Jesus.
Which of the following gives the circumference, C, of a circle with a radius of 4?
OC 4T
OC=4T²
OC=8T
O C=16T
The circumference of a circle with a radius of 4 is 8π.
What is the circumference of a circle with a radius of 4?A circle is simply a closed 2-dimensional curved shape with no corners or edges.
The circumference of a circle is the distance around a circle or the length of a circle. It is expressed mathematically as;
C = 2πr
Where r is radius and π is constant pi.
Given that the radius of the circle is 4 units.
Plug into the above formula.
C = 2πr
C = 2 × π × 4
C = 8π
Therefore, the circumference is 8π.
Option C) 8π is the correct answer.
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Is (-2, 10) a solution to this system of equations?
y = -4x + 2
y = -6x - 2
yes
no
Answer:
Yes
Step-by-step explanation:
(-2, 10)
x = -2
y = 10
y = -4x + 2
Substitute or plug in the x and y values
10 = -4(-2) + 2
Multiply(remember a negative times a negative is a positive)
10 = 8 + 2
Add
10 = 10
Because ten is equal to ten (-2, 10) is a solution for this part
Now take your next equation and repeat the same steps
y = -6x - 2
10 = -6(-2) - 2
10 = 12 -2
10 = 10
(-2, 10) is a solution to this system of equations
On January 1, 2024, Wright transportation sold four school buses to the Elmira School District. In exchange for the buses, Wright received a note requiring payment of $521,000 by Elmira on December 31,2026. The effective interest rate is 7%.
1. How much sales revenue would Wright recognize on January 1, 2024 for this transaction?
2. Prepare journal entries to record the sale of merchandise on January 1, 2024. (Omit any entry that might be required for the cost of the goods sold), the December 31,2024, interest accrual, the December 31,2025, interest accrual, and receipt of payment of the note on December 31,2026.
Using the given data we know that the sales revenue that Wright recognize on January 1, 2020, is $456108.
What is sales revenue?Net sales, as used in bookkeeping, accounting, and financial accounting, refer to operating revenues received by a business from the sale of its goods or provision of its services.
They are directly recorded as Sales or Net sales on the income statement and are also referred to as revenue.
The net sales formula is rather simple in profit and sales transactions: net sales = gross sales - (return values + discount losses + sales taxes + allowances).
So, the sales revenue in the given situation would be:
According to the provided data, the sales revenue will be determined as follows:
= Value of note × PVF of receivable
= $528000 × 0.8638
= $456108
Therefore, using the given data we know that the sales revenue that Wright recognize on January 1, 2020, is $456108.
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Correct question:
On January 1, 2021, Wright Transport sold four school buses to the Elmira School District. In exchange for the buses, Wright received a note requiring payment of $534,000 from Elmira on December 31, 2023. The effective interest rate is 6%. (FV of $1, PV of $1, FVA of $1, PVA of $1, FVAD of $1 and PVAD of $1) (Use appropriate factor(s) from the tables provided.). How many sales revenue would Wright recognize on January 1, 2020, for this transaction?
15 POINTS MARKING BRAINLIST PLEASE HELP
The length of "ab" is approximately 6 cm (to the nearest hundred)
What do you mean by Right angle triangle and its properties ?If two lines intersect at an angle of 90˚ or are perpendicular to each other, they form a right angle. A right angle is indicated by the symbol ∟Angle is always 90° or a right angle. The opposite angle of 90° is the hypotenuse. The hypotenuse is always the longest side. The sum of the remaining two interior angles is 90°. In a right-angled triangle, the side opposite the 90-degree angle is called the hypotenuse, indicated by the letter "c". The sides adjacent to a 37 degree angle and a right angle are called "ab" and "bc" respectively.
Using trigonometry, we find the length of "ab" as follows:
sin(37) = opposite/hypotenuse = ab/c
ab = sin(37) * c
Substituting the given values we get:
ab = sin(37) × 10 cm
= 3/5 × 10 cm
ab = 6.07 cm
Rounding to the nearest hundred, we get:
ab ≈ 6 cm (nearest hundred)
Therefore, the length of "ab" is approximately 6 cm (to the nearest hundred)
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A rectangular container has a square base with an area of 25 square inches. The container had a height of 4 inches. What is the volume, in cubic inches, of the container?
The volume of the container is 100 cubic inches.
how can we calculate the volume of a rectangle?The volume of a rectangular container is calculated by multiplying its base area by its height. Since the base of the container is square with an area of 25 square inches, the length of each side of the square base is the square root of 25, which is 5 inches.
Therefore, the volume of the container can be calculated as follows:
Volume = Base Area × Height
Volume = 25 square inches × 4 inches
Volume = 100 cubic inches
So, the volume of the container is 100 cubic inches.
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Question 3: 13 of the 20 students in Mr Davidson's class are girls. Two students are chosen at random. 2nd student (a) Copy and complete the tree diagram (b) Work out the probability of two boys being selected. (c) Work out the probability of two girls being selected. CORBETTMATHS 2018 1st student boy girl boy girl boy girl outcome BB BG GB GG probability
Answer:
answer int he photos
Step-by-step explanation:
Answer:
This is a product rule and probablity question. b) 49/400
c) 169/400
Step-by-step explanation:
(07.03 MC)
Given the function h(x)=-2√x +3-1, which statement is true about h(x)?
Given the function h(x) = -2√(x + 3) - 1, the statement that is true about h(x) include the following: B. the function is decreasing on the interval (-3, ∞).
What is a decreasing function?For any given function, y = f(x), if the output value (range or y-value) is decreasing when the input value (domain or x-value) is increased, then, the function is generally referred to as a decreasing function.
For any given function, y = f(x), if the output value (range) is increasing when the input value (domain) is increased, then, the function is generally referred to as an increasing function.
By critically observing the graph of the given function, we can reasonably infer and logically deduce that it is decreasing over the interval (-3, ∞).
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Find the missing side
Please help
Answer:
The answer is D. 4(sqrt(5))
Step-by-step explanation:
To find this we use the Pythagorean Theorem a^2+b^=c^2
So making 4 = to a, and 8 = to, and x = to, we do
4^2+8^2= 80
Then we take the square root of 80 to find the missing side, which is equal to 4(sqrt(5)
Good luck!
look at the picture below
The surface area of the composite solid is given as follows:
194 units squared.
What is the surface area of a rectangular prism?The surface area of a rectangular prism of height h, width w and length l is given by:
S = 2(hw + lw + lh).
This means that the area of each rectangular face of the prism is calculated, and then the surface area is given by the sum of all these areas.
The prism in this problem is composed as follows:
Rectangular prism of dimensions 4, 7 and 3.Two right triangles of dimensions 4 and 3.One square of side length 5.One rectangle of dimensions 5 and 7.Hence the surface area of the prism is given as follows:
S = 2(4 x 7 + 4 x 3 + 3 x 7) + 4 x 3 + 5² + 5 x 7
S = 194 units squared.
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Chairs need to be set up for the audience members. You want to use. the fewest number of chairs and still meet these three additional condions.
• There are 23 rows of chairs.
• There are the same number of chairs in esch row.
• There are an even number of chairs in cads rom.
Based on the number of students expected to attend, design a plan to set up the chairs. State how many total chairs there are, and explain why your plan meets these conditions.
There must be 46 chairs in each row and total number of chairs are 1058
To meet the given conditions, we need to find a number that has the following properties:
It should be divisible by 2, as there are an even number of chairs in each row.
It should be divisible by 23, as there are 23 rows of chairs.
It should be the same number in each row.
The smallest number that satisfies these conditions is 46, which is the least common multiple of 2 and 23.
So, we need to set up 46 chairs in each row.
The total number of chairs required will be:
Total number of chairs = 23 rows x 46 chairs per row = 1058 chairs
Hence, the total number of chairs are 1058
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Translate this sentence into an equation.
Answer:
24 + c = 40
C= Chau’s height
Can someone help me?
The surface area of the triangular prism is 235 cm²
How to solve an equation?An equation is an expression that uses mathematical operations to show how numbers and variables are related to each other.
The surface area of a triangular prism is gotten by adding the individual area of each surface.
For the triangular prism shown:
Surface area = 2(1/2 * 10 cm * 12 cm) + (10 cm * 5 cm) + 2(13 cm * 5 cm) = 235 cm²
The surface area is 235 cm²
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A particle moving in the horizontal direction has its position given by x(t). Find the expression for the velocity.
Ignore the pencil writing and red pen, just answer the printed answer.
The expression for the velocity is v(t) = 30m/s
Expression for the Velocity calculation(a) x(t) = 30t
The velocity is the derivative of the position function with respect to time:
v(t) = dx/dt
Since x(t) = 30t, we have:
v(t) = d/dt (30t)
= 30
So the expression for velocity is v(t) = 30 m/s.
(b) x(t) = 7sin(30)
The velocity is the derivative of the position function with respect to time:
v(t) = dx/dt
Since x(t) = 7sin(30), we have:
v(t) = d/dt (7sin(30))
= 7cos(30) * d/dt (30t)
= 3.5cos(30)
So the expression for velocity is v(t) = 3.5cos(30) m/s.
(c) x(t) = ecos(701)
The velocity is the derivative of the position function with respect to time:
v(t) = dx/dt
Since x(t) = ecos(701), we have:
v(t) = d/dt (ecos(701))
= -e sin(701) * d/dt (701t)
= -701e sin(701t)
So the expression for velocity is v(t) = -701e sin(701t) m/s.
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A popular beach currently has 88 visitors, and 28 of them are sunbathing. What is the probability that a randomly chosen beachgoer is sunbathing? Write your answer as a fraction or whole number.
The probability that the randomly selected person is taking a sunbath is 7/22.
Science uses a figure called the probability of occurrence to quantify how likely an event is to occur.
It is written as a number between 0 and 1, or between 0% and 100% when represented as a percentage.
The possibility of an event occurring increases as it gets higher.
So, the probability formula is:
P(E) = Favourable events/Total events
Now, insert values in the formula as follows:
P(E) = Favourable events/Total events
P(E) = 28/88
P(E) = 14/44
P(E) = 7/22
Therefore, the probability that the randomly selected person is taking a sunbath is 7/22.
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The total cost of 10 sharpeners and 2 books is $26.10. if the cost of a sharpener is $a, and a book is $1.95 more expensive, find a.
Give your answer to two decimal places.
Therefore, a sharpening costs Dollar 1.85.
what is dollarThe US, Canada, Australia, and some nations in the Pacific, Caribbean, Southeast Asia, Africa, and South America all use the dollar as their primary unit of exchange. The word "$" is used to denote it.
Let's use $a for the sharpener's price. We can state that the price of a book is $a + 1.95 because it costs $1.95 more than a sharpening.
We are aware of the $26.10 total cost of 10 sharpeners and 2 books. This can be expressed as an equation:
10a + 2(a + 1.95) = 26.10
If we simplify this equation, we get:
12a + 3.90 = 26.10
3.90 less from each side results in:
12a = 22.20
By multiplying both sides by 12, you get:
a = 1.85
Therefore, a sharpening costs $1.85.
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100 Points! Algebra question, photo attached. Please show as much work as possible. Thank you!
Answer: The height of the cone is [tex]12 \text{ units}.[/tex]
Step-by-step explanation:
We are given that [tex]L = \pi r \sqrt{r^2+h^2}.[/tex] Plugging in the given values of [tex]L[/tex] and [tex]r[/tex] yields:
[tex]65 \pi = 5 \pi \sqrt{25+h^2} \implies 13 = \sqrt{25+h^2}.[/tex]
Now, squaring each side of the equation, and then isolating [tex]h^2[/tex] gives us [tex]h^2=144[/tex], so [tex]\boxed{h=12}.[/tex] Note that [tex]h[/tex] cannot take any negative values because it is a side length.
homework i need help tho fr appreciate it!
1. Axis of symmetry : x= -5 2. Axis of symmetry : x =2
Vertex: (-5, 1) Vertex: (2, 8)
Domain: (-∞, ∞) Domain (-∞, ∞)
Ranges: [1, ∞) Ranges (-∞, 8]
3. Axis of symmetry : x = 1 4. Axis of symmetry x = -4
Vertex (1, -1) Vertex = (-4 0)
Domain (-∞, ∞) Domain (-∞, ∞)
Ranges [-1, +∞) Ranges (-∞, 0]
For 4. y = -x² - 8x -16
Axis of symmetry
x = -b / (2a)
x = -(-8) / (2 × -1) = 8 / (-2) = -4
Vertex
y = -(-4)² - 8(-4) - 16
= -16 + 32 - 16
= 0 therefore Vertex is (-4, 0)
Therefore range function (-∞, ∞)
The above answers are for the questions below as seen in the picture
1) y = x² + 10x + 26 2. y = -2x² + 8x 3. y = x² - 2x
Axis of symmetry :
Vertex
Domain
Ranges
4. y = -x² - 8x -16
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