Answer:
$288
Step-by-step explanation:
to find the area of one rectangular eave of the roof you have to multiply 24 by the hypotenuse of the 12 ft x 16 ft triangular side, so you can find that by using the Pythagorean Theorem
16² + 12² = c²
256 + 144 = c²
400 = c²
20 = c
Area of one eave = 24 x 20 = 480
Area of total roof = 480 x 2 = 960
set up a proportion to find cost ('x'):
30 = x
100 960
cross-multiply: 100x = 28800
x = $288
The midpoint of AB is M(-3, 0). If the coordinates of A are (1,−4), what are the coordinates of B?
What is the length of Line segment H A? 7 units 8 units 24 units 48 units
dogs alpha an 125789 SMS Skoda Eloisa 124579 harm Occam
Answer:
48
Step-by-step explanation:
correct on Edge 2021
Mrs. Barlow's math class took a test yesterday. Out of 70 students, 70% of them passed. How many of Mrs. Barlow's students passed the test?
Answer:
49 students passed the test
Step-by-step explanation:
70/100=0.07 - 1%
0.07*70=49
what are the first five terms of each sequence. determine whether each sequence is arithmetic, geometric or neither.
b(1) = 2,b(n) = 2.b(n-1) -1 for n>2.
The sequence given by b(1) = 2, b(n) = 2 × b(n-1) - 1 (for n > 2) is neither arithmetic nor geometric.
To determine the first five terms of the sequence and whether it is arithmetic, geometric, or neither, let's calculate the values step by step.
Sequence 1: b(1) = 2, b(n) = 2 × b(n-1) - 1 (for n > 2)
Let's find the first five terms:
b(1) = 2 (given)
b(2) = 2 × b(1) - 1 = 2 × 2 - 1 = 4 - 1 = 3
b(3) = 2 × b(2) - 1 = 2 × 3 - 1 = 6 - 1 = 5
b(4) = 2 × b(3) - 1 = 2 × 5 - 1 = 10 - 1 = 9
b(5) = 2 × b(4) - 1 = 2 × 9 - 1 = 18 - 1 = 17
The first five terms of the sequence are: 2, 3, 5, 9, 17.
To determine whether this sequence is arithmetic, geometric, or neither, we can calculate the common difference (d) for arithmetic sequences and the common ratio (r) for geometric sequences.
Arithmetic sequences have a constant difference between consecutive terms, while geometric sequences have a constant ratio between consecutive terms.
Let's check the differences between consecutive terms:
d(1) = b(2) - b(1) = 3 - 2 = 1
d(2) = b(3) - b(2) = 5 - 3 = 2
d(3) = b(4) - b(3) = 9 - 5 = 4
d(4) = b(5) - b(4) = 17 - 9 = 8
The differences are not constant, so the sequence is not arithmetic.
Now, let's check the ratios between consecutive terms:
r(1) = b(2) / b(1) = 3 / 2 = 1.5
r(2) = b(3) / b(2) = 5 / 3 ≈ 1.6667
r(3) = b(4) / b(3) = 9 / 5 = 1.8
r(4) = b(5) / b(4) = 17 / 9 ≈ 1.8889
The ratios are also not constant, so the sequence is not geometric either.
Therefore, the sequence given by b(1) = 2, b(n) = 2 × b(n-1) - 1 (for n > 2) is neither arithmetic nor geometric.
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Help me please? I’ll mark brainliest.
Answer:
A = 6 units
Step-by-step explanation:
6 - 2 = 4
the y-intercept stays the same
the x-intercept changes
Harper is starting a printing business. She purchases plain t-shirts for $5 dollars each and spends $150 for printing equipment She decides to sell printed shirts for $10 each. How many t-shirts does Harper need to sell so that the amount of money she spends to start her business and the amount of money she earns are the same.
Answer:
30
Step-by-step explanation:
150/5 = 30
30+30+30+30+30 = 150
A car rental agency charges $150 per week plus $0.20 per mile to rent a car. How many miles can
you
travel in one week for $290?
A) 208
B) 1450 miles
C) 700 miles
D) 675 miles
,Kofi, Adoma and Esenam are three siblings, Kofi is x years older than Adoma and Adoma is y years older than Esenam. a. How much older than Esenam is Kofi ? b. If Esenam is 5 years old, how old is (i) Adoma (ii)Kofi
a. K = E + (x + y). This implies that Kofi is (x + y) older than Esenam.
b. (i) Adoma = (5 + y) years
(ii) Kofi = (5 + (x+y)) years
What is a word problem?Word problem is a topic that requires the transformation of a mathematical statement into an equation, such that the variable is to be determined.
In the given question, we have;
Let the age of Kofi, Adoma, and Esenam be represented by K, A and E respectively. So that;
K = A + x ...... i
A = E + y........ ii
substitute i into ii
K = (E + y) + x
= E + (x + y)
K = E + (x + y) ........ iii
Thus,
a. From equation iii, we can deduce that Kofi is (x + y) years older than Esenam.
b. The age of Adoma = 5 + y years
ii. The age of Kofi = 5 + (x + y) years
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In 2010 the state of California had a population of 37, 253,956. Find the place value of the 2 in 37, 253, 956.
In number 37,253,956 the 2 is at hundred-thousand place. So place value of 2 is,
\(200,000\)Answer: 200,000
what is the product of -3 and +50
Answer:
the product of -3 and +50 is -150
(-3)×+(50)=-150
Answer:
-150Step-by-step explanation:
-3 × 50 =
-150
Use the Distributive Property to find (g−7)(g−2) all i need is the answer
Answer: \(g^2-9g+14\)
Step-by-step explanation:
(g-7)(g-2)
\(g^2 - 2g-7g+14\)
\(g^2-9g+14\)
Use FOIL method.
Describe the series of rigid motion transformations which map polygon A to Polygon A'''. Are the two polygons congruent? Explain how you know.
(someone please help me!)
The series of rigid motion transformations that map polygon A to Polygon A''' are;
A rotation of 145° about the origin to map A to A'A reflection across the x-axis to map A' to A'A translation of four units to the right and one unit downWhat is a rigid transformation?A rigid transformation is a transformation in which the distance between all pairs of points on the pre-image is preserved following the transformation.
The series of rigid motion transformations that map polygon A to polygon A''' are;
Transformation from A to A'
The angle in the diagram in the question indicates the rotation of polygon A to produce polygon A' is a rotation of 145° about the origin.Transformation from A' to A''
The coordinates of the vertices of triangle, A' (0.9, 4.1), (3.1, 5.9), (5.5, (2.5) and the vertices of triangle A'' (0.9, -4.1), (3.1, -5.9), (5.5, -2.5), indicates that the transformation is a reflection about the x-axisTransformation from A'' to A'''
The arrow of the translation transformation indicates that the transformation is a translation of four units to the right and 1 unit down.Learn more about rigid transformations in geometry here:
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Help me please . I am stuck
Answer: n⁴+10n²x+25x²
Step-by-step explanation:
I don;t know how I can use the binomial squares pattern on Brainly, but I can definitely guide you through the problem.
(n²+5x)² [rewrite this from the squared]
(n²+5x)(n²+5x) [use FOIL to expand]
n⁴+5n²x+5n²x+25x² [combine like terms]
n⁴+10n²x+25x²
please help meeeeeeeee
Answer:
\(\textsf{2.2.1)} \quad \sf True\)
\(\textsf{2.2.2)} \quad T_n=3n+2\)
Step-by-step explanation:
A numeric pattern is a sequence of numbers that follows a consistent rule or pattern, where each term is related to the previous term in a specific way. These patterns can involve simple operations like addition or multiplication, and they help us understand how numbers behave and make predictions.
From observation of the given diagram, the number of black dots in each figure is:
Figure 1: 5 black dotsFigure 2: 8 black dotsFigure 3: 11 black dotsEach figure has 3 more black dots than the previous figure. Therefore, the pattern is an example of a numeric pattern since the common difference between terms is 3.
As there is a common difference between terms, the sequence is arithmetic. Therefore, to determine the nth term for the number of black dots, we can use the general formula for an arithmetic sequence:
\(\boxed{\begin{minipage}{8 cm}\underline{General form of an arithmetic sequence}\\\\$T_n=a+(n-1)d$\\\\where:\\\phantom{ww}$\bullet$ $T_n$ is the nth term. \\ \phantom{ww}$\bullet$ $a$ is the first term.\\\phantom{ww}$\bullet$ $d$ is the common difference between terms.\\\phantom{ww}$\bullet$ $n$ is the position of the term.\\\end{minipage}}\)
Given that the first term is a = 5 and the common difference is d = 3, substitute these values into the formula and simplify:
\(T_n=5+(n-1)3\)
\(T_n=5+3n-3\)
\(T_n=3n+2\)
Therefore, the equation for the nth term for the number of black dots is:
\(\boxed{T_n=3n+2}\)
How much higher is -58 than -93?
Answer:
35
Step-by-step explanation:
93 - 58 = 35
Find the missing side lengths. Leave your answers as radicals in simplest form
Answer:
a = b = 3√2
Step-by-step explanation:
Use trigonometry:
\( \sin(45°) = \frac{a}{6} \)
Cross-multiply to find a:
\(a = 6 \times \sin(45°) = 6 \times \frac{ \sqrt{2} }{2} = \frac{6 \sqrt{2} }{2} = 3 \sqrt{2} \)
Use the Pythagorean theorem to find b:
\( {b}^{2} = {6}^{2} - {a}^{2} \)
\( {b}^{2} = {6}^{2} - ( {3 \sqrt{2}) }^{2} = 36 - 9 \times 2 = 36 - 18 = 18\)
\(b > 0\)
\(b = \sqrt{18} = 3 \sqrt{2} \)
Ahmed is planning to cook his family dinner and needs to purchase several food items. He is able to purchase these items either at the local grocery store or the farmer's market. Given in the table are the items and their prices.
Grocery Store Farmer's Market
8 tomatoes for $13.20 10 tomatoes for $17.50
4 cups of mozzarella cheese for $4.60 3 cups of mozzarella cheese for $3.30
12 eggs for $3.00 7 eggs for $1.40
Part A: Choose one of the food items offered at the grocery store and the farmer's market and determine the unit price of the item at each location. Show all necessary work, including the name of the item chosen. (6 points)
Part B: Based on your answer in part A, which location offers a better deal? Explain
Part A: Grocery Store: unit price = $1.65 (Tomatoes)
Farmer's Market: unit price = $1.75
Part B: Grocery Store offers a better deal because the unit price is less.
How to determine the unit price of the item at each location?Unit price is defined as the price for one of something. For example, if 10 oranges cost $50, the unit price will be $50/10 = $5 i.e. $5 for one orange.
PART A:
Let's choose tomatoes
Grocery Store
8 tomatoes for $13.20
Unit price = $13.20/8 = $1.65
Farmer's Market10 tomatoes for $17.50
Unit price = $17.50/10 = $1.75
Part B:
The location that offers a better deal is Grocery Store. This is because the unit price is less.
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The sales tax in the town where Amanda lives is 9%. Amanda paid $36 in sales tax on a new stereo. What was the price of the stereo?
Answer:
$400
Step-by-step explanation:
9%= .09
$36÷.09=$400
Answer:
400
9 percent equals .09
36 divided by ,09 equals 400
400 would be your answer
Which of the following is a subset of every set? * 1)Universal Set 2)Null Set 3)Both of these 4)None of these
Answer:
\(1\)
Step-by-step explanation:
Universal set contains all elements and of which all other sets are subsets.
The water usage at a car wash is modeled by the equation W(x) = 5x3 + 9x2 − 14x + 9, where W is the amount of water in cubic feet and x is the number of hours the car wash is open. The owners of the car wash want to cut back their water usage during a drought and decide to close the car wash early two days a week. The amount of decrease in water used is modeled by D(x) = x3 + 2x2 + 15, where D is the amount of water in cubic feet and x is time in hours. Write a function, C(x), to model the water used by the car wash on a shorter day. C(x) = 5x3 + 7x2 − 14x − 6 C(x) = 4x3 + 7x2 − 14x + 6 C(x) = 4x3 + 7x2 − 14x − 6 C(x) = 5x3 + 7x2 − 14x + 6
Choose the correct problem for the fraction 25/30.
The correct problem for the fraction 25 / 30 is A. 5 / 6.
How to find the correct problem ?The correct problem can be found based on the simplest form of the fraction given. This conclusion is based on the options given as the numbers are different from the fraction.
The simplest form of the fraction 25 / 30 can be found by dividing both 25 and 30 by their highest common factors which is 5.
The simplest form of the fraction 25 / 30 is therefore:
= ( 25 ÷ 5 ) / ( 30 ÷ 5 )
= 5 / 6
In conclusion, option A is correct.
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Options for this question are:
A. 5 / 6
B. 5 / 30
C. 25 / 6
D. 3 / 2
Math Homework: Unit 3 Assignment
The mug is 5/8 full, the mug contains 3/4 of water find the capacity of the mug
The capacity of the mug is 1.2. The capacity of the mug can be found by using the equation C = (3/4) ÷ (5/8).
What is capacity?It is the maximum amount of output that can be produced in a given period of time. Capacity is usually expressed in terms of units per unit of time, such as gallons per minute or passengers per hour.
In this equation, 3/4 represents the amount of water in the mug, and 5/8 represents the amount the mug is full.
Let the capacity of the mug be x.
Given,
Mug is 5/8 full and contains 3/4 of water
So, 5/8 of the mug is filled with water
Therefore,
5/8 of x = 3/4
(5/8 )x = (3/4)
x = (3/4) × (8/5)
x = (24/20)
x = 1.2
Therefore, the capacity of the mug is 1.2.
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PLEASE HELP
Write an equation in slope-intercept form with a slope of -5 and a y-intercept of 3.
a. y = 5x + 3
C. y = 3x - 5
b. y = -5x-3
d. y = -5x+3
Answer:
d y = -5x+3
Step-by-step explanation:
slope intercept is y=mx+b m is for the slope and b is the y intercept so the -5x would go first and then the 3
The angle formed between one side and another, always less than 180 degrees.
Answer:obtuse angle
Step-by-step explanation:
An obtuse angle is an angle of greater than 90° and less than 180°. It is bigger than an acute angle. It is smaller than a straight angle, which measures 180°. Angles are measured with a protractor obtuse angle is specifically present in hexagon and pentagon and others.
If < SPQ is a right angle and
angle SPQ =90°
Becuase it is a right triangle
angle RPQ=62°
angle SPR= ?
the sum of angle RPQ and angle SPR must sum 90°
62+ angle SPR=90°
angle SPR=90-62=28°
the answer is
angle SPR= 28°
Complete the table for the equation x + y = 12
Answer:
(x, y) = (11, 1), (3, 9), (8, 4)
Step-by-step explanation:
To solve for x, subtract y:
x = 12 -y
To solve for y, subtract x:
y = 12 -x
__
For y=1, x = 12-1 = 11
For x=3, y = 12-3 = 9
For y=4, x = 12-4 = 8
each function
f(x)=-4x-5;
ion for
Find ƒ(1)
for the given
When x is equal to 1, the Function f(x) = -4x - 5 yields a value of -9.
The find ƒ(1) for the function f(x) = -4x - 5, we need to substitute x = 1 into the function and evaluate the expression.
Replacing x with 1, we have:
ƒ(1) = -4(1) - 5
Simplifying further:
ƒ(1) = -4 - 5
ƒ(1) = -9
Therefore, when x is equal to 1, the value of the function f(x) = -4x - 5 is ƒ(1) = -9.
Let's break down the steps taken to arrive at the solution:
1. Start with the function f(x) = -4x - 5.
2. Replace x with 1 in the function.
3. Evaluate the expression by performing the necessary operations.
4. Simplify the expression to obtain the final result.
In this case, substituting x = 1 into the function f(x) = -4x - 5 gives us ƒ(1) = -9 as the output.
It is essential to note that the notation ƒ(1) represents the value of the function ƒ(x) when x is equal to 1. It signifies evaluating the function at a specific input value, which, in this case, is 1.
Thus, when x is equal to 1, the function f(x) = -4x - 5 yields a value of -9.
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between what two consecutive integers must log2(17) lie
Answer:
4 and 5
Step-by-step explanation:
For answering questions like this, it can be useful to remember a few of the powers of small integers:
2^4 = 16
2^5 = 32
Exponents and logarithmsA logarithm can be considered to be an exponent of the base.
\(\log_b(x) = a \ \Longleftrightarrow\ b^a=x\)
The ordering of powers of 2 relative to the number of interest (17) is ...
16 < 17 < 32
2⁴ < 17 < 2⁵ . . . . . . . . . . . . . . . . . . . expressed as powers of 2
log₂(2⁴) < log₂(17) < log₂(2⁵) . . . . . log₂ of the above inequality
4 < log₂(17) < 5 . . . . . . . . . . . . . . . . showing the values of the logs
Log₂(17) lies between 4 and 5.
__
Additional comment
Using the "change of base" formula, you can use a calculator to find the value of log₂(17). It shows you the value is between 4 and 5.
log₂(17) = log(17)/log(2) . . . . . . using logs to the same base
Can someone pls help 15 POINTS!!!
Answer:
Step-by-step explanation: Just so you know we need to see the whole problem and l am actually already learned this im just finished with the Ratios