The result of the expression given will be -7.
What exactly are expressions?
In mathematics, an expression is a combination of numbers, variables, and operators (such as addition, subtraction, multiplication, and division) that can be evaluated to obtain a value. Expressions can be simple or complex, and can include constants, variables, functions, and mathematical operations. Examples of expressions include:
5 + 2
2x - 3y
(a + b) / c
√(x² + y²)
sin(θ) + cos(θ)
Now,
We need to use the order of operations to evaluate this expression:
8 ÷ 2³ - 16 ÷ 2
First, we need to evaluate the exponents: 2³ = 8
8 ÷ 8 - 16 ÷ 2
Next, we need to evaluate the division from left to right:
1 - 8
Finally, we need to evaluate the subtraction:
-7
Therefore, the result of 8 divided by 2³ -16 divided by 2 is -7.
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Right Question:- What is the resultant of expression 8 divided by 2^3 -16 divided by two.
“All the survivors I’ve talked to have told me how horrible the experience was. But they have also told me, often with deep puzzlement, how beautiful it was.” What does the excerpt say about survival experiences and how they plays in the into the action of adapting to your situation?
Answer:it says that it was gruesum(i forgot how too spell it) yet beautiful.
Step-by-step explanation:
how is this a mathematical question???
Sonny substituded 5 for x in the proportion 16/x =48/15 and cross to multiply to get 240 =240 why is this?
If x = 5 then 5*48 = 240 and 16*15 equals 240 equals eachother.
Another perspective: Divide 16 by 5 then divide 48/15
16/5=3.2 48/15=3.2 Hence the porportions are the same.
Considering qualitative and quantitative observations, quantitative observation is more scientific True or false.
Answer: True
Step-by-step explanation:
quantative is numbers and stats
Write in point-slope form an equation of the line that passes through the given point and has the given slope. Point: (4, 8); m = 3/4
Answer:
\(\mathsf{y-8=\cfrac{3}{4}(x-4)}\)
Step-by-step explanation:
Hi student, let me help you out!
.. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. ... ... ..... ........ ...... ... ......... .... ....
First, let's recall the point-slope form equation: ↪ \(\mathrm{y-y_1=m(x-x_1)}\).
where: y₁ = y-coordinate of the point (the second coordinate), m=slope, x₁=x-coordinate (the first coordinate).
Let's stick in the values accordingly. We obtain the following: \(\mathrm{y-8=\cfrac{3}{4}(x-4)}\), which is our point-slope form equation.
Hope this helped you out, ask in comments if any queries arise.
Best Wishes!
\(\star\bigstar\overline{\overline{\underline{\underline{\textsf{Reach far. Aim high. Dream big.}}}}}\bigstar\star\)
\(\underline{\rule{300}{4}}\)
A small radio transmitter broadcasts in a 31 mile radius. If you drive along a straight line from a city 41 miles north of the transmitter to a second city 42 miles east of the transmitter, during how much of the drive will you pick up a signal from the transmitter
On solving the provided question, we can say that the slope's the intersection points are: (20.698, 42.197) and (43.998,16.527), the transmitter is within range between those to points along the line.
what is slope?A line's slope determines how steep it is. A mathematical equation for the gradient is called "gradient overflow" (the change in y divided by the change in x). The slope is the ratio of the vertical change (rise) between two points to the horizontal change (run) between those same two spots. When a straight line's equation is written as y = mx + b, the slope-intercept form of an equation is employed to express it. The y-intercept is located at a location where the line's slope is m, b is b, and (0, b). For instance, the slope of the equation y = 3x - 7 and the y-intercept (0, 7).The line's slope is m. b is b at the point where the y-intercept is, and (0, b). As an illustration, the equation y = 3x - 7 has a slope of 3, and its y-intercept is (0, 7).
city - north at (0,65)
city-east at (59,0)
Slope is m=(-65/59)
\(B= y - mx = 65 - (-65/59)(0) = 65\)
The equation of the line between the cities is y = (-65/59)x + 65
\(x^2 + ( (-65/50)x + 65) )^2 = 47^2\)
the intersection points are:
(20.698, 42.197) and (43.998,16.527)
The transmitter is within range between those to points along the line.
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Solve for x. 4x^2 – 2x + 3 = 0
Answer:
\(x=\frac{1\pm i\sqrt{11}}{4}\)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Standard Form: ax² + bx + c = 0Quadratic Formula: \(x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}\)Algebra II
Imaginary Roots: √-1 = iStep-by-step explanation:
Step 1: Define Equation
4x² - 2x + 3 = 0
Step 2: Identify Variables
a = 4
b = -2
c = 3
Step 3: Solve for x
Substitute [Quad Formula]: \(x=\frac{2\pm\sqrt{(-2)^2-4(4)(3)} }{2(4)}\)Evaluate Exponents: \(x=\frac{2\pm\sqrt{4-4(4)(3)} }{2(4)}\)Evaluate Multiplication: \(x=\frac{2\pm\sqrt{4-48} }{8}\)Evaluate Subtraction: \(x=\frac{2\pm\sqrt{-44} }{8}\)Factor Radical: \(x=\frac{2\pm\sqrt{-1} \sqrt{44} }{8}\)Simplify Radicals: \(x=\frac{2\pm 2i\sqrt{11} }{8}\)Factor Numerator GCF: \(x=\frac{2(1\pm i\sqrt{11}) }{8}\)Simplify: \(x=\frac{1\pm i\sqrt{11}}{4}\)What is the y-intercept of the graph of y = 2.5x?
a.
2.5
c.
0
b.
1
d.
-1
Please select the best answer from the choices provided
A
B
C
D
The Y-intercept of the graph of y = 2.5x is 0. The correct answer is (C) 0.
The equation y = 2.5x represents a straight line with a slope of 2.5, which means that for every increase of 1 in x, y increases by 2.5.
To find the y-intercept line, we need to determine the value of y when x is equal to 0. This is because the y-intercept represents the point where the line crosses the y-axis, which occurs when x is equal to 0.
Substituting x = 0 into the equation y = 2.5x, we get:
y = 2.5(0) = 0
Therefore, the y-intercept of the graph of y = 2.5x is 0.
The correct answer is (C) 0.
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What is the value of b?
The value of b is 20.
What is Pythagorean theorem?
The Pythagoras theorem is a mathematical law that states that the sum of squares of the lengths of the two short sides of the right triangle is equal to the square of the length of the hypotenuse.
According to the given question:
∠S and ∠Q are right angles in RSTQ quadrilateral.
RTS and RTQ are right angled triangles.
Applying Pythagorean theorem on both the triangles
sin 35° = b + 60 / RT ⇒ RT = b + 60 / sin 35°
sin 35° = 4b / RT ⇒ RT = 4b / sin 35°
Since RT is common in both equations
b + 60 / sin 35° = 4b / sin 35°
b + 60 = 4b
3b = 60
b = 20
Hence the value of b is 20
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Does the bmi satisfy the conditions of the definition of an index? does it allow comparisons of a bmi to some base bmi?
Yes, the BMI (Body Mass Index) satisfies the conditions of the definition of an index.
The BMI is a widely used index to assess body weight in relation to height. It is calculated by dividing a person's weight in kilograms by the square of their height in meters (BMI = weight (kg) / height^2 (m^2)).
The BMI satisfies the conditions of an index because it provides a numerical value that represents a specific characteristic or measurement (in this case, body weight relative to height). It is standardized and allows for comparisons among individuals.
The BMI also allows for comparisons to a base BMI or reference value. For example, the World Health Organization (WHO) has established BMI categories to classify individuals as underweight, normal weight, overweight, or obese. These categories serve as a base or reference for comparing an individual's BMI to a standard range.
By comparing an individual's BMI to the base BMI categories, healthcare professionals and researchers can assess the relative weight status and associated health risks. The BMI provides a convenient tool for population-level studies, health assessments, and tracking trends in weight-related health conditions.
Therefore, the BMI satisfies the conditions of an index and allows for comparisons of a BMI to a base BMI or reference values.
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A small cab carries 4 people. How many small cabs will I need to transport 44 people?
simplify 43/125 pleas.
it is in simplest form, but if you would like the decimal, it is 0.344
hope this helps!
4. What is 0.5% of 75??
Answer:
0.375
Step-by-step explanation:
A line with a slope of -3 passes through the points (9, r) and (10, 3). What is the value of r? r
Answer: The value of R is 6.
Explanation: I recommend you go to these two links for an easier understanding:
https://www.wikihow.com/Find-the-Y-Intercept
https://www.wikihow.com/Find-the-X-Intercept
Solve the following quadratic equation for all values of x in simplest form. 4(x² – 6) + 8 = -4
Will Award Brainliest
Answer:
Exact Form:
x = √ 3 , − √ 3
Decimal Form: x = 1.73205080 … , − 1.73205080 …
Step-by-step explanation:
Find the area for the surface given by z= f(x,y) that lies above the region R.
f(x,y)= 3+ 2x^(3/2)
R: (0,0), (0,4), (6,4), (6,0)
The surface area of the region bounded by the function z=f(x,y) and the region R defined by (0,0), (0,4), (6,4), (6,0) can be found using a double integral.
To find the surface area, we need to integrate the magnitude of the partial derivatives of f with respect to x and y, and then multiply by the square root of 1 plus the sum of the squares of these derivatives. Mathematically, the surface area can be expressed as:
∬R √\((1+ (fx(x,y))^2 + (fy(x,y))^2)\) dA
where fx and fy represent the partial derivatives of f with respect to x and y, respectively, and dA is the area element in the xy-plane.
To evaluate this integral, we first need to determine the limits of integration. Since R is a rectangular region, we can set the limits of integration as: 0 ≤ x ≤ 6 and 0 ≤ y ≤ 4
We can then evaluate the partial derivatives of f and substitute them into the integral expression to obtain:
Surface area = ∫\(0^6\) ∫\(0^4\)\(\sqrt{(1+ 9x)}/(4\sqrt{x}) ^{2} +1\) dxdy
We can simplify this expression using algebraic manipulation and then evaluate the integral using appropriate integration techniques. The final result gives us the surface area of the region defined by z=f(x,y) and R.
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Suppose r(x) and t(x) are two functions with the same domain, and let
h(x)=r(x)+t(x).
suppose also that each of the 3 functions r, tand h, has a maximum value
in this domain (i.e. a value that is greater than or equal to all the other
values of the function).
let m = the maximum value of r(x),
n = the maximum value of t(x), and
p = the maximum value of h(x).
how might the following always be true that m+n=p?
Answer:
that's correct answer is yes
Step-by-step explanation:
yes
Find the slope between each pair of points
1. (-2,4) and (10,-2)
Answer:
m = -1/2
Step-by-step explanation:
(-2 - 4) / (10 - -2)
(-2 - 4) / (10 + 2)
-6 / 12 = - 1/2
Ocean Bike Tours wants to provide bandanas for each person. The cost of the bandanas is each person. The cost of the bandana is $45.50 for the design plus $2 per bandana. If C= the cost and n= number of bandanas, what would the total cost for 50 bandanas be?
Answer:
$145.50
Step-by-step explanation:
C = 45.50 + 2n
45.50 + 2X 100 = $145.50
PLEASE HELP ASAP ILL GIVE 11 points
Answer:
11
Step-by-step explanation:
6^2 = 6 x 6 = 36
5^2 = 5 x 5 = 25
36 - 25 = 11
Step-by-step explanation:
everything can be found in the picture above
Can someone help me answer this I don’t get it and I need to finish it
Answer:Its 315
Step-by-step explanation:
Hope this helps!
Elizabeth swims 50 feet in ten seconds. Jesse swims 110 feet in 20 seconds.
Reagan swims 160 feet in half a minute. Who swims fastest?
Answer: Jesse
Step-by-step explanation:
Elizabeth - 50f/10s
Jesse - 55f/10s
Reagan - 53.3333333/10s
Jesse is the fastest
Answer:
I think that Jessie swam the fastest
Step-by-step explanation:
Jessie swam the fastest bc Reagan only swims 160 feet in half a minute and 110 is less than 160 and 20 + 20 =40 so if Jessies swimming speed and time was multiplied by 2, she would still swim faster!
(sorry Im not the best at math but I hope you can understand my logic lol)
what results In ridge regression, choosing a very large \lambdaλ penalty strength
In ridge regression, the penalty strength parameter, represented by \lambda», controls the trade-off between fitting the training data well and keeping the model coefficients small.
When a very large penalty strength is chosen, it results in a higher degree of shrinkage of the regression coefficients towards zero. This means that the model becomes less complex and less likely to overfit the training data. However, it also means that the model may become too biased towards the null hypothesis, leading to underfitting and decreased predictive power. Therefore, choosing the right value of \lambdaλ is crucial for achieving optimal performance in ridge regression.
In ridge regression, choosing a very large λ (lambda) penalty strength results in a higher regularization effect, which helps to reduce overfitting by shrinking the coefficients of the independent variables towards zero. This helps to create a more generalized model by controlling the complexity of the model. However, choosing a λ value that is too large can also result in underfitting, as the model may become too simple to capture the underlying relationships in the data effectively.
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Jill has a piece of aluminum. The aluminum hass a mass of 5.4g and a volume of 2cm^3. What is the density of the aluminum?
mass (m) = 5.4g
Volume (V) = 2 cm^3
To find the density (p), we have to apply the next formula:
p= m/v
Replacing:
p´= 5.4/2 = 2.7 g/cm^3
It takes four or three hours to get a pair of socks and seven hours to get a pair of clothes as he spends 89 hours kidding a total of 15 pairs of socks and gloves how many pairs of each does she kinit?
Answer:
Gloves = 11 pairs
Socks = 4 pairs
Step-by-step explanation:
Given that :
Time taken to knit pair of socks = 3 hours
Time taken to knit pair of gloves = 7 hours
Total time taken to knit 15 pairs of gloves and socks = 89 hours
Let :
number of socks = x and number of gloves = y
x + y = 15 - - - - (1)
3x + 7y = 89 - - - (2)
From (1):
x = 15 - y
Put x = 15 - y in (2)
3(15 - y) + 7y = 89
45 - 3y + 7y = 89
45 + 4y = 89
4y = 89 - 45
4y = 44
y = 44/4
y = 11
From :
x = 15 - y
x = 15 - 11
x = 4
Solve for a.
4(a + 3)=12 + 4a
−1
no solution
all real numbers
−3
Final Answer: All Real Numbers
Steps/Reasons/Explanation:
Question: Solve for a. \(4(a + 3)=12 + 4a\).
Step 1: Expand.
\(4a + 12 = 12 + 4a\)
Step 2: Cancel \(4a\) on both sides.
\(12 = 12\)
Step 3: Since both sides equal, we would have infinitely many solutions.
~I hope I helped you :)~
Answer:1
Step-by-step explanation:1
6. A quadrilateral ABCD is drawn to circumscribe a circle. Prove that AB + CD = AD + BC.
Answer:
i not sure sorry ..........
Look at this graph
What is the slope?
I’ll mark as brainiest!!!
Worth 18pts!!
Answer:
m = 2Step-by-step explanation:
Use two points on the graph to find the slope:
(40, 0) and (50, 20)The slope is:
m = (y2 - y1)/(x2 - x1)m = (20- 0)/(50 - 40) = 20/10 = 2All 3 Parts Please help thanks a lot.
Answer:
38.620 for 4 and a it is yes a proportion because there's only 15 for each 8,
b. if you used 15 ox of milk you should have 8 flour used
5. The correct answer is to add 12 more white grapes to the mixture.
Step-by-step explanation:
You want 3/8 to equal 12/20. You can multiply the 3 by 4. That gets you 12 cherry halves. In order to keep the fractions the same you must also multiply the 8 by 4. Now you have. 12/32
32-20 = 12. So you have to add you need to add 12 white grapes.
Danny and Ariana are buying a commercial building for their new business. The assessed value of the building is $500,000 and the market value is $457,350. They will put a down payment of 20%.
a. What will the property taxes be on the assessed value of the building if the taxes are 2.415%?
b. What will their monthly payment be if they take a 30-year mortgage at a 4.55%?
c. How much interest will they pay on the 30-yr mortgage for the life of the loan?
d. What will be the range for their closing costs?
e. If they take a balloon mortgage instead at a 3.5%, what is the monthly payment, before paying off the balloon?
For a balloon mortgage, the monthly payments are usually lower, but there is a final "balloon" payment due at the end of the term.
a. Property Taxes:
The assessed value of the building is $500,000, and the property tax rate is 2.415%. To calculate the property taxes, we multiply the assessed value by the tax rate:
Property taxes = Assessed value * Tax rate
Property taxes = $500,000 * 2.415% (convert percentage to decimal)
Property taxes = $500,000 * 0.02415
Property taxes = $12,075
Therefore, the property taxes on the assessed value of the building will be $12,075.
b. Monthly Mortgage Payment:
To calculate the monthly mortgage payment, we need to consider the loan amount, interest rate, and loan term. The down payment is 20%, so the loan amount will be 80% of the market value of the building:
Loan amount = Market value * (1 - Down payment percentage)
Loan amount = $457,350 * (1 - 20%) (convert percentage to decimal)
Loan amount = $457,350 * 0.8
Loan amount = $365,880
We can now use this loan amount, along with the mortgage interest rate and loan term, to calculate the monthly payment using the formula for a fixed-rate mortgage:
Monthly payment = (Loan amount * Monthly interest rate) / (1 - (1 + Monthly interest rate)^(-Total number of months))
The monthly interest rate is the annual interest rate divided by 12, and the total number of months is the loan term multiplied by 12.
Annual interest rate = 4.55% (convert percentage to decimal)
Monthly interest rate = 4.55% / 12
Loan term = 30 years
Total number of months = 30 * 12
Now, let's calculate the monthly payment:
Monthly payment = ($365,880 * Monthly interest rate) / (1 - (1 + Monthly interest rate)^(-Total number of months))
c. Total Interest Paid:
To calculate the total interest paid over the life of the loan, we multiply the monthly payment by the total number of months and subtract the loan amount:
Total interest paid = (Monthly payment * Total number of months) - Loan amount
d. Closing Costs:
The closing costs can vary, but a common range is between 2% and 5% of the purchase price. To calculate the range for closing costs, we'll use these percentages:
Minimum closing costs = Purchase price * 2%
Maximum closing costs = Purchase price * 5%
e. Balloon Mortgage Payment:
For a balloon mortgage, the monthly payments are usually lower, but there is a final "balloon" payment due at the end of the term. To calculate the monthly payment for the balloon mortgage, we'll use the loan amount, interest rate, and loan term:
Monthly payment = (Loan amount * Monthly interest rate) / (1 - (1 + Monthly interest rate)^(-Total number of months))
Now, let's calculate the monthly payment for the balloon mortgage.
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Determining the location of a terminal point given the signs of Determine the quadrant in which the terminal side of 0 lies. (a)sine < 0 and cot 0 < 0 (Choose one) (b) cos > 0 and esce < 0 (Choose one) quadrant I quadrant II quadrant III quadrant IV ?
Based on the given information, the terminal side of angle 0 lies in quadrant III.
To determine the quadrant in which the terminal side of angle 0 lies based on the given information, we can analyze the signs of the trigonometric functions:
(a) Since sine < 0 and cotangent < 0, we can determine the quadrant as follows:
Sine < 0 implies that the y-coordinate (vertical component) of the point on the unit circle corresponding to angle 0 is negative.
Cotangent < 0 implies that the x-coordinate (horizontal component) of the point on the unit circle corresponding to angle 0 is negative.
In quadrant III, both the x and y-coordinates are negative. Therefore, quadrant III is the correct answer in this case.
(b) The information provided in this option is incorrect. "esce" is not a recognized trigonometric function, and "cos > 0" does not provide enough information to determine the quadrant.
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