Answer
Since this is a right triangle, we can use the inverse cosine function to solve for the angle θ.
cos θ = Opposite side / Adjacent side
cos θ = 14 / 22
cos θ = 0.6363
θ = cos^-1 (0.6363)
θ ≈ 45.9°
two subtracted from the product of 9 and a number is greater than or equal to 19 .
translate the sentence into an inequality
Answer: 9x - 2 >= 19.
Step-by-step explanation:
The sentence can be translated into the inequality 9x - 2 >= 19.
Here is a step-by-step breakdown:
"Two subtracted from the product of 9 and a number" can be written as 9x - 2.
"Is greater than or equal to 19" can be written as >= 19.
Putting these two pieces together, we get the inequality: 9x - 2 >= 19.
what is the cosine of π/3
4 is the slope of a line y - 4x = 0 true or false
it is false but 4 is not y-4x=0
Express $0.3\overline{2}$ as a fraction in simplest form.
Answer:
3/20
Step-by-step explanation:
[tex]\frac{0.3}{2}=\frac{0.3*10}{2*10}=\frac{3}{20}[/tex]
Help soon would be greatly appreciated
A home has a replacement value of $324,000. What is the amount
of the insurance if the coverage is:
a.
100% of the replacement value?
b. 90% of the replacement value?
C.
80% of the replacement value?
The insurance company will pay $192, which is the asset's present value.
What is meant by replacement value?The sum of money required to fix your house at the cost of construction materials today, or to replace your possessions at the cost of an equivalent or comparable item today the cost of purchasing a comparable asset to replace an existing one at the going rate on the market.
To be fully insured, your dwelling limit must equal at least 80% of the rebuild value of your house. The average cost of reconstructing a home per square foot in your area can be multiplied by the square footage of your home to determine the replacement cost. Market value and replacement cost are not the same thing.
Therefore,
The distribution of cost over the course of an asset's useful life is known as depreciation. It speaks of the rate at which the value of an asset depreciates over time.
When figuring out depreciation, the original value is utilized. It does not use current market value.
Over the course of the asset's useful life, the value is distributed equally.
In this instance
Depreciation per year = Asset value ÷ Years of useful life
Depreciation per year = 288 ÷ 6 = $48
The asset has been used for 2 years
Amount depreciated = 48 × 2 = $96
Present value = Original value - Depreciation
Present value = 288 - 96 = $192
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7 - 13a = 27 solve for A
Answer:
a = -20/13
Step-by-step explanation:
7 - 13a = 27
-13a = 20
a = -20/13
Let's check
7 - 13(-20/13) = 27
7 + 260/13 = 27
7 + 20 = 27
27 = 27
So, a = -20/13 is the correct answer!
Below are graphs of several functions. Which functions have the specified domain and range ? There may be more than one correct answer
For the given value of domain and range , By observing the figure, The correct answer are options B,C and E.
What do you mean by function?A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. 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.
What are domain and range of the function?A function's domain and range are the set of all possible inputs and outputs, respectively. A function's domain and range are crucial components. The range includes all of the function's output values, whereas the domain includes all potential input values from the set of real numbers.
domain : (x | x 3/2)
range : (-∞ , 2)
For these values, Option B , C and E holds that they exists when x 3/2 and it's output that is y exists between (-∞ , 2).
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-50 POINTS- cmon alr
Answer:
10
Step-by-step explanation:
[tex] \sqrt{26 {}^{2} - 24 {}^{2} }[/tex]
[tex] = \sqrt{676 - 576} [/tex]
[tex] = \sqrt{100} [/tex]
[tex] = 10[/tex]
Answer: 10
Step-by-step explanation: You can use the Pythagorean theorem which is a^2+b^2=c^2. Plug in the numbers that you already have and square them to find the answer, which is 10. Hope this helps! If you need more of an explanation pls let me know ;)
Complete table with the Y-values for the equation y=ײ+1
The complete table of values of the function is
x 0 1 2 3
y 0 2 5 10
How to complete the table of values of the function?From the question, we have the following parameters that can be used in our computation:
The equation of the function is given as
y = x² + 1
The above function is a quadratic function
This is so because it has the following representation
y = ax² + bx + c
When this function is compared to the equation y = x² + 1, we have the following notations
a = 1
b = 0
c = 1
From the incomplete table of values, we have the x values to be
x = 1, 2, 3
Substitute x = 1, 2, 3 in the equation y = x² + 1
So, we have
When x = 1, y = (1)² + 1 = 2
When x = 2, y = (2)² + 1 = 5
When x = 3, y = (3)² + 1 = 10
When these values are represented on a table, we have
x 0 1 2 3
y 0 2 5 10
The above represents the complete table
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Complete question
Complete table with the Y-values for the equation y=ײ+1
x 0 1 2 3
y 0
3/4 of the children in a school have blue eyes the rest have brown eyes. if 84 children have blue eyes how many have brown eyes?
Answer:
Let the total number of people in the group=x
So total number of men =3x/8
Hence total number of women=5x/8
No. of men having brown eyes=2/3*3x/8=x/4
Total no. of people having brown eyes=3x/4
No.of women having brown eyes
=3x/4 -x/4=2x/4=x/2
No. of women who don't have brown eyes= 5x/8-x/2 = x/8
So the fraction is x/8x= 1/8
Step-by-step explanation:
Answer: 28 children
What is a ratio?A ratio has two or more numbers that symbolize relation to each other. Ratios are used to compare the numbers, and you can compare them using division.
First, we would need to figure out the total number of students. To do this, we can divide 84 by 3, then add that to the total.
84 ÷ 3 = 28
28 + 84 = 112
This means that there are 112 students in the classroom.
If 3/4 of the children in the school have blue eyes, we know that 1/4 of the children will have brown eyes. We can convert 1/4 into a decimal, or into a percentage, to get the number of children with brown eyes.
1/4 = 0.25 = 25%
To figure out how much 25% of 112 is, we can simply multiply 112 by 0.25.
112 × 0.25 = 28
So, this means that there are 28 children with blue eyes in the school.
Flying against the wind, an airplane travels 4720 kilometers in 8 hours. Flying with the wind, the same plane travels 4040 kilometers in 4 hours. What is the rate of the plane in still air and what is the rate of the wind?
The rate of the plane in still air is 800 km/h while the rate of the wind is 210 km/h
What is an equation?An equation is an expression composed of variables and numbers linked together by mathematical operations.
Let x represent the speed of the airplane in still air and y represent the speed of the wind.
Flying against the wind, an airplane travels 4720 kilometers in 8 hours. Hence:
x - y = 4720 km / 8 hr
x - y = 590 (1)
Flying with the wind, the same plane travels 4040 kilometers in 4 hours. Hence:
x + y = 4040 km / 4 hr
x + y = 1010 (2)
From both equations:
x = 800, y = 210
The speed of the airplane is 800 km/h
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what is 3 3/4 - 1 1/4?
Answer:
2 2/4 or 2 1/2
Step-by-step explanation:
3-1=2
3/4-1/4=2/4
2/4=1/2
You deposit $250 in an account that earns simple interest at an annual rate of 2.2%.
How much money is in the account after 4 years?
Answer: $272
Step-by-step explanation: you would multiply 250 * 0.022 = 5.5
then you would multiply 5.5 * 4 = 22 then you would add 22 + 250 = 272
Please help I don’t understand this
On solving the provided question, we can say that - the area of the following rectangle is 200 cm sq.
What is rectangle?A rectangle in Euclidean plane geometry is a quadrilateral with four right angles. You might also describe it as follows: a quadrilateral that is equiangular, which indicates that all of its angles are equal. The parallelogram might also have a straight angle. Squares are rectangles with four equally sized sides. A quadrilateral of the shape of a rectangle has four 90-degree vertices and equal parallel sides. As a result, it is sometimes referred to as an equirectangular rectangle. Because its opposite sides are equal and parallel, a rectangle is also known as a parallelogram.
here,
we have
L = 20 cm
and B = 10 cm
Area of rectangle, A =L X B = 20 X 10 = 200 cm sq.
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Is the vertex of -x^2q-2x+10=0 parabola a maximum value or minimum value?
The vertex of the parabola -x² - 2x + 10 = 0 occurs at (-1,11), It is a maximum value.
Determine whether the parabola is maximum value or minimum value?Given the equation of the parabola;
-x² - 2x + 10 = 0
First, the maximum of a quadratic function occurs at;
x = -b/a, if a is negative, the maximum value of the function is f( -b/2a)
f_max(x) = ax² + bx + c occurs at;
x = -b/2a
Now, find the value of x = -b/2a
Plug in a = -1 and b = -2
x = -( -2/2(-1) )
x = -( -2/-2) )
x = -( 1 )
x = -1
Hence;
f(x) = -x² - 2x + 10
f( -1 ) = -( -1 )² - 2( -1 ) + 10
f( -1 ) = -1 + 2 + 10
f( -1 ) = -1 + 12
f( -1 ) = 11
Therefore, maximum occurs at (-1,11).
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determine the maximum number of zeros and the x- intercepts of the equation y=(x+9)(x-9)^2
The maximum number of zeros is 2, and the x-intercepts are -9, 9.
What is x-intercepts of quadratic function?The x-intercept is where the graph crosses the x-axis.
Here, we have,
The function is given as:
y=(x+9)(x-9)^2
The above function can be rewritten as:
y=(x+9)(x-9)(x-9)
The x-intercept is the point where the graph crosses the x-axis
To determine the x-intercepts, we remove the common factors
So, we have:
y=(x+9)(x-9)
Equate to 0
(x+9)(x-9)=0
Split
(x+9)=0 and, (x-9)=0
Solve for x
x=9 & x=-9
So, the maximum number of zeros is 2, and the x-intercepts are -9, 9.
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what's the y intercept of y=-2x+ -20
Answer: y=20-2x
Step-by-step explanation:
a movie theater has 24 screens. ration of action to other films is 1:2. How many action films are currently showing
Answer: 12
Step-by-step explanation: Because of the ratio we know that half of the screens will be showing action films. Half of 24 is 12, so 12 screens will be playing action.
Which is 70% of 2,000?
A.14
B.70
C.140
D.700
E.1400
Answer:
Option E) 1400
Step-by-step explanation:
Based on the given conditions, formulate: 70‰ x 2000
Convert the percentage to decimals: 0.7 x 2000
Calculate the product or quotient: 1400
Hence , the answer is 1400
(20 points)which of these equations doesn’t fit with each other with what we’ve been learning about perpendicular lines explain why for full credit, equations in photo
Answer:
Line D
Step-by-step explanation:
You want to know which line is not parallel or perpendicular to the other given lines:
A: 2y -x = 2
B: 4y = -8x -4
C: y = -2x +4
D: 5y = 10x +15
Standard formWe can write each of these equations in standard form to make it easier to compare them. That form is ...
ax +by = c
where a > 0 and a, b, c are mutually prime.
The equations are ...
A: x -2y = -2
B: 2x +y = -1
C: 2x +y = 4
D: 2x -y = -3
Parallel linesEquations with the same coefficients of x and y will be parallel:
2x +y = -1 and 2x +y = 4 . . . . lines B and C
Perpendicular linesEquations with coefficients that have been swapped, with one negated, will be perpendicular:
x -2y = -2 and 2x +y = -1 . . . . lines A and B
Line A is perpendicular to parallel lines B and C, so line D is the odd one out.
Line D doesn't fit.
25.05+36.05 equal the answer
Answer:
61.1
Step-by-step explanation:
Here, we simply add the two numbers together.
25+36=61
0.5+0.5=1
so, the answer is 61.1
Use the binomial theorem to expand expressions 1-4 and answer question 5.
1. (3x^2 +y)^3
2. (5x^4 +2y^5)^4
3. (x^3 +4y^2)^5
4. (x-2y)^6
5. find the coefficient of x^3 y^4 in the expansion of (2x+5y^2)^5
On solving the provided question, we cans ay that the value of x from the polynomial [tex]5x^4 +2y^5)^4[/tex] and [tex](3x^2 +y)^3[/tex] is = 16 and 1
what are polynomials?A polynomial is a mathematical statement made up of coefficients and uncertainty that exclusively uses additions, subtractions, multiplications, and positive integer powers of variables. A single indeterminate x polynomial is represented by the expression x2 4x + 7. A polynomial is an expression in mathematics that consists of variables (sometimes referred to as indeterminates) and coefficients that may be added, subtracted, multiplied, and raised to negative integer powers of non-variables. A polynomial is an algebraic expression made up of coefficients and variables. The only operations that an expression can contain are addition, subtraction, multiplication, and non-negative integer exponents. These expressions are known as polynomials.
here,
[tex]5x^4 +2y^5)^4[/tex] and [tex](3x^2 +y)^3[/tex]
as x = 0 and y = 1
answer is = 16 and 1
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-√8 - √54 + 2√6 how to simplify
Answer:
6√2
Step-by-step explanation:
-√2×2×2 -√2×3×3×3 + 2√3×3
-2√2 - 3✓6 + 2×3
-2√2 - 3√2×2 +2 + 6
6√2
What's the sum of 3 3/8 and 4 3/4? A.9 1/4 B. 8 3/4 C. 7 3/4 D. 8 1/8
Answer:
D
Step-by-step explanation:
3[tex]\frac{3}{8}[/tex] + 4[tex]\frac{3}{4}[/tex] Use the common denominator of 8 Multiply [tex]\frac{3}{4}[/tex] x [tex]\frac{2}{2}[/tex]
3[tex]\frac{3}{8}[/tex] + 4[tex]\frac{6}{8}[/tex]
7[tex]\frac{9}{8}[/tex]
7 + [tex]\frac{8}{8}[/tex] + [tex]\frac{1}{8}[/tex] Another name for [tex]\frac{8}{8}[/tex] is 1
7 + 1 + [tex]\frac{1}{8}[/tex]
8[tex]\frac{1}{8}[/tex]
given f''(x)=4x-2 and f'(-1)=0 and f(-1)=4
find f'(x)=
find f(4)=
Write the number 4,207 in expanded form
Answer:
That's easy! four thousand two hundred and seven or 4,000+200+7
Step-by-step explanation:
Every time an insect jump forward the distance covered is half of previous jump. if the insect initially jumped 8.4cm calculate to the nearest two decimal places distance of sixth jump
The distance that he jumped in the sixth jump nearest to two decimal places will be 0.13.
What is a geometric sequence?Let a₁ be the first term and r be the common ratio.
Then the nth term of the geometric sequence is given as,
aₙ = a₁ · (r)ⁿ⁻¹
Every time an insect jump forward, the distance covered is half of the previous jump. If the insect initially jumped 8.4 cm.
The equation is given as,
aₙ = 8.4 · (1/2)ⁿ⁻¹
The distance that he jumped in the sixth jump will be given as,
a₆ = 8.4 · (1/2)⁶⁻¹
a₆ = 8.4 / 64
a₆ = 0.13125
a₆ ≈ 0.13
The distance that he jumped in the sixth jump nearest to two decimal places will be 0.13.
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On 4 January 2020 Thabo deposited P7 800 into savings account. The simple interest rate agreed upon was 6.2% per annum. What will be accumulated amount in the savings account on 21 November 2020? (Assume a year has 365 days).
The accumulated amount in the savings account on 21 November 2020 will be $426.63.
What is simple interest?Simple interest is the concept that is used in many companies such as banking, finance, automobile, and so on.
The formula for interest is written as,
I = (PRT)/100
Where P is the principal, R is the rate of interest, and T is the time.
On 4 January 2020, Thabo deposited $7,800 into a savings account. The simple interest rate agreed upon was 6.2% per annum.
The number of days from 4 Jan 2020 to 21 Nov 2020 will be given as,
Total days = 28 + 28 + 31 + 30 + 31 + 30 + 31 + 31 + 30 + 31 + 21
Total days = 322
The accumulated amount in the savings account on 21 November 2020 will be given as,
I = [$7,800 x 6.2 x (322 / 365)] / 100
I = $426.63
The accumulated amount in the savings account on 21 November 2020 will be $426.63.
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Assume the Poisson distribution applies. Use the given mean to find the indicated probability.
Find P(5) when μ = 9
Answer: 0.155
Step-by-step explanation:
To find the probability of a certain event occurring in a Poisson distribution, we can use the formula:
P(k) = (μ^k * e^(-μ)) / k!
Where:
P(k) is the probability of the event occurring k timesμ is the meane is the base of the natural logarithm ( approximately 2.71828)k! is the factorial of k (k factorial)Plugging in the given values, we get:
P(5) = (9^5 * e^(-9)) / 5! = 126,441 * 0.000123 = 0.1550
So the probability of the event occurring 5 times is approximately 15.5%.
they are yes and no choices except the one that’s one the pic
helpppp
Therefore , the solution of he given problem of linear equation comes out to be x = 5.
A linear equation is defined.A linear equation is one that has the form y=mx+b in algebra. B is the slope, and m is the y-intercept. It's usual to refer to the previous clause as a "linear equation with two variables" because y and x are variables. The two-variable linear equations known as bivariate linear equations. There are several instances of linear equations: 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. It is referred to as being linear when an equation has the form y=mx+b, where m stands for the slope and b for the y-intercept.
Here,
Given : 2x-4=6
To prove x =5
Thus,
We have to find the value of x
[tex]= > 2x =10\\= > x =10/2\\= > x =5[/tex]
Therefore , the solution of he given problem of linear equation comes out to be x = 5.
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