Consider the expression 4(8x+5)4(8x+5)4, left parenthesis, 8, x, plus, 5, right parenthesis.
The given expression is 4(8x + 5). This is a product of a coefficient and a binomial expression. In mathematics, a binomial is a polynomial with two terms.
They are represented as ax + b or a + bx or (a + b) etc. Given expression is 4(8x + 5). We can simplify this by applying the distributive property. It is given as follows; The distributive property of multiplication states that a(b + c) = ab + ac To simplify the given expression, we need to multiply the coefficient 4 with each term in the parentheses.
It can be done as follows; 4(8x + 5) = 4*8x + 4*5 We multiply 4 with 8x and 4 with 5 to obtain; 32x + 20 This is the main answer. Therefore, the simplified form of 4(8x + 5) is 32x + 20. To simplify the given expression 4(8x + 5), we can use the distributive property. According to this property, the product of a number with the sum of two or more terms is equal to the sum of the products of that number with each term of the sum. In other words, a(b + c + …) = ab + ac + … In the given expression, 4 is multiplied with the binomial (8x + 5). Hence,
4(8x + 5) = 4*8x + 4*5
= 32x + 20
Hence, the simplified form of 4(8x + 5) is 32x + 20.
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Multiply the binomials and simplify your answer. (2x+9)(3x-5)
Answer: =6x^2+17x−45
Step-by-step explanation:
=(2x+9)(3x+−5)
=(2x)(3x)+(2x)(−5)+(9)(3x)+(9)(−5)
=6x2−10x+27x−45
=6x2+17x−45
Answer:
\(6x^{2} -17x-45\)
Step-by-step explanation:
Use distribution then combine like-terms to simplify
Find the distance between the two points in simplest radical form
(-4,-1) and (1,-9)
The difference between the two points ; (-3,10 )
given
(-4,-1) and (1,-9)
here we have to find the difference between -4 and -1
which is -3 so u go -3 spaces left so it would be -3
then , find the difference between 1 and -9 which is 10 so u go 10 spaces down so the difference between is;
(-3,10).
therefore the distance between two point are (-3,10)
Distance between two points is the length of the line segment that connects the two given points. Distance between two points in coordinate geometry can be calculated by finding the length of the line segment joining the given coordinates.to know more about distance.
We will use the distance formula in order to find the distance between points a and b. By substituting the points A(3, 4) and B(1, 2) in the above formula we get our required distance d. Hence, distance d = 2√2 units
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Alyssa has 2.1 meters of ribbon to make bows. She needs to make 3 bows. If she uses an equal amount of ribbon for each of her bows, and uses all of the ribbons she has, how much ribbon will she use for each bow?
Use the Math Learning Center App, Number Pieces to show your thinking using place value blocks. Enter your answer and explain how you used the place value blocks to model the problem.
Answer:
0.7 ribbon
Step-by-step explanation:
To find how much is needed, use division.
So, to show your work:
2.1 divided by 3 = 0.7
I hope this is what you were looking for and I hope this is the correct answer for you!!! :)
what’s the area of the base
Answer:
16 square units
Step-by-step explanation:
16 square units
please help meeeee !
This value is approximate.
======================================================
Explanation:
Let's divide the figure into 3 regions.
A = area of semicircular regionB = area of rectangular regionC = area of triangular regionThe goal is to find A+B+C
---------------
Region A:
A full circle has area of pi*r^2. Plug in the radius of 3 (half the diameter 6) and we get 9pi as the exact area. Your teacher wants you to replace pi with 3, so 9pi = 9*3 = 27 approximately
27 represents the approximate area of the full circle, but we want only half of it. So 27/2 = 13.5 is the approximate area of region A.
--------------
Region B
area = length*width
area = 10*6
area = 60 square inches
---------------
Region C
The base of the triangle is 14-10 = 4 inches. The height is the same as the rectangle (6 inches).
area = 0.5*base*height
area = 0.5*4*6
area = 12 square inches
-------------
To recap everything so far, we found the areas of the regions to be...
A = 13.5 (approximate)B = 60 (exact)C = 12 (also exact)Therefore,
total area = A+B+C
total area = 13.5+60+12
total area = 85.5 which is approximate
-5 = w-3 what is w
please help
Answer
w=-2
Step-by-step explanation:
-5=w-3
-5+3=w-3+3
-2=w
plezz give me brainiest
you find the monthly standard deviation of a stock is 3.10 percent. what is the annual standard deviation of the stock
The annual standard deviation of the stock is approximately 18.00 percent.
To see why, we can use the fact that the standard deviation scales with the square root of time. Since there are 12 months in a year, we can calculate the annual standard deviation as:
annual standard deviation = monthly standard deviation * sqrt(12)Substituting the given value for the monthly standard deviation, we get:
annual standard deviation = 3.10% * sqrt(12)Simplifying this expression using a calculator, we get:
annual standard deviation ≈ 18.00%Therefore, the annual standard deviation of the stock is approximately 18.00 percent.
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Model Real Life The Elephant
Building is 335 feet high. A real
Asian elephant is 12 feet tall. If
29 real elephants could stand on
top of each other, would they reach
the top of the building?
Answer:
Yes
Step-by-step explanation:
The Elephant Building is 335 feet high. A real Asian elephant is 12 feet tall. If 29 real elephants could stand on top of each other, would they reach the top of the building?
They are asking if 29 12' elephants are as tall as as a 335' building:
29 × 12' = 348' elephant stack
because 348' is taller than 335' building then yes, 29 staked elephant would reach and pass the top of a 335' building.
Solve for x.. 3(x-8) = 29.7
Answer:
x = 17.9
Step-by-step explanation:
\(3x-24=29.7\\ Distribution Property\\\\3x=53.7\\\\Adding 24 to both sides\\\\x=17.9\\Divide by 3 to both sides\\\\Hope this helps:)\\\)
\(\text {Hello! Let's Solve this Equation!}\)
\(\text {The First Step is to Multiply 3 in the Parentheses:}\)
\(\text {3*x=3x}\\\text {3*8=24}\)
\(\text {Your new Problem is: 3x-24=29.7}\)
\(\text {The Next Step is to Add 24:}\)
\(\text {3x-24+24=29.7+24}\\\text {=53.7}\)
\(\text {Your new Problem is: 3x=53.7}\)
\(\text {The Final Step is to Divide 3:}\)
\(\text {3x/3=53.7/3}\)
\(\text {Your Answer would be:}\)
\(\fbox {x=17.9}\)
\(\text {Best of Luck!}\)
Naomi's bill for breakfast at a restaurant was $82.She left a15% tip.What was the amount of the tip?
Answer:
$12.30 is the tip
Answer:
$12.30 is the answer.
Step-by-step explanation:
82 * 0.15 = 12.3
Evaluate 5-t\3 when t=12
Answer:
-7/3
Step-by-step explanation:
5-(12)/3
-7/3
A mug can hold 15.38 oz of coffee without overflowing. The radius of the mug is 4 cm. Given that 1 cm3 equals approximately 0.034 oz, what is the height of the mug to the nearest centimeter?
A. 13 cm
B. 9 cm
C. 11 cm
D. 7 cm
You have an equally likely chance of choosing any integer from 1 through 50. Find the probability of the given event. A perfect square is chosen.
Answer:
The answer is 0.02
Step-by-step explanation:
1/50=0.02
A cable that weighs 8 lb/ft is used to lift 650 lb of coal up a mine shaft 600 ft deep. Find the work done. Show how to approximate the required work by a Riemann sum.
Answer:
work = 1,830,000 ft·lb
Step-by-step explanation:
You want the work done to lift 650 lb of coal 600 ft up a mine shaft using a cable that weighs 8 lb/ft.
ForceFor some distance x from the bottom of the mine, the weight of the cable is ...
8(600 -x) . . . . pounds
The total weight being lifted is ...
f(x) = 650 +8(600 -x) = 5450 -8x
WorkThe incremental work done to lift the weight ∆x feet is ...
∆w = force × ∆x
∆w = (5450 -8x)∆x
We can use a sum for different values of x to approximate the work. For example, the work to lift the weight the first 50 ft can be approximated by ...
∆w ≈ (5450 -8·0 lb)(50 ft) = 272,500 ft·lb
If we use the force at the end of that 50 ft interval instead, the work is approximately ...
∆w ≈ (5450 -8·50 lb)(50 ft) = 252,500 ft·lb
SumWe can see that the first estimate is higher than the actual amount of work, because the force used is the maximum force over the interval. The second is lower than the actual because we used the minimum of the force over the interval. We expect the actual work to be close to the average of these values.
The attached spreadsheet shows the sums of forces in each of the 50 ft intervals. The "left sum" is the sum of forces at the beginning of each interval. The "right sum" is the sum of forces at the end of each interval. The "estimate" is the average of these sums, multiplied by the interval width of 50 ft.
The required work is approximated by 1,830,000 ft·lb.
__
Additional comment
The actual work done is the integral of the force function over the distance. Since the force function is linear, the approximation of the area under the force curve using trapezoids (as we have done) gives the exact integral. It is the same as using the midpoint value of the force in each interval.
Because the curve is linear, the area can be approximated by the average force over the whole distance, multiplied by the whole distance:
(5450 +650)/2 × 600 = 1,830,000 . . . . ft·lb
Another way to look at this is from consideration of the separate masses. The work to raise the coal is 650·600 = 390,000 ft·lb. The work to raise the cable is 4800·300 = 1,440,000 ft·lb. Then the total work is ...
390,000 +1,440,000 = 1,830,000 . . . ft·lb
(The work raising the cable is the work required to raise its center of mass.)
3^12 x 7^9
three to the power of 12 times 7 to the power 9 ????????? i Need HELP
Answer:
3^12=531441
7^9=40353607
Step-by-step explanation:
I used a calculator on these problems because doing it by hand is just too much work.
Essentially it is 3x3x3x3x3x3x3x3x3x3x3x3 (3 multiplied with each other 12 times.)
And 7x7x7x7x7x7x7x7x7 (7 multiplied with each other 9 times.
Answer:
1.36
Step-by-step explanation:
Calculate 3 to the power of 12 and get 531441.
\(( 531441\) ×\(7)^{9}\)
Multiply 531441 and 7 to get 3720087.
\(3720087^{9}\)
Calculate 3720087 to the power of 9 and get 1.36
if L=6 and A=24 calculate perimeter (P)
The rectangle can have P = 20 and L = 6 because P = 2(6) + 2(4) would equal 20.
Here, we have,
given that,
L=6 and A=24
so, we get,
W = 24/6 = 4
The formula for the perimeter of a rectangle is P=2L + 2W.
If the width is W = 4 and the length is L=6, then the perimeter becomes:
P = 2(6) + 2(4)
so, we get,
P = 20
Therefore the answer is 20
The rectangle can have P = 20 and L = 6 because P = 2(6) + 2(4) would equal 20,
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Solve the inequality four-thirds times the absolute value of the quantity one fourth times x plus 3 end quantity is less than 4.
x > −13 and x < −11
x < −13 and x > −11
x > −24 and x < 0
x > −24 and x > 0
The solution to the inequality "four-thirds times the absolute value of the quantity one fourth times x plus 3 end quantity is less than 4" is: C. x > −24 and x < 0.
How to solve the inequality?In order to determine the solution to the given inequality, we would first of all translate the word description into an absolute value function (inequality) as shown below.
The word description "Four-thirds times the absolute value of the quantity one fourth times x plus 3 end quantity is less than 4" is given by:
Expression = 4/3 × |x/4 + 3| < 4
Expression = 4/3|x/4 + 3| < 4
By solving the expression within absolute value symbol, we have:
x/4 + 3 = (x + 12)/4
4/3|(x + 12)/4| < 4
Multiplying both sides of the inequality by 3/4, we have the following:
4|(x + 12)/4| < 12
(x + 12)/4 < 3
x + 12 < ±12
x > -12 - 12
x > -24
x + 12 < ±12
x < -12 + 12
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Answer:
−24<x<0, so x > -24 and x < 0
Step-by-step explanation:
So its C if im wrong my bad
p+13+q+27 prove that 6=p and q=20
..........................................................................
Answer:
\(90 {cm}^{2} \)
Step-by-step explanation:
First we have to split the entire shape into smaller pieces. We see two triangles and 3 rectangles.
\(area \: of \: tringle = \frac{1}{2} base \times height\)
The base of the triangle is 3 and the height is 4
\( \frac{1}{2} (3) \times 4 = 6 \)
we then multiply 6 by 2 because there are two triangles and both of them are equal (have the same measurement): 《6 x 2 = 12 cm^2》
\(area \: \: of \: rectangle = length \times width\)
Therefore the area of the rectangle on the side would be: 《6 x 5 = 30》. It would also be multiplied by two because there are two rectangles at the side (both being equal) :《30 x 2 = 60 cm^2》
There is also a rectangle at the base of the shape, we use the same formula to find its area: 《6 x 3 = 18 cm^2》
We now add all of the areas that we got for the shapes: 12 + 60 + 18 = 90
Bearing a to b is 280 what is bearing b to A
Answer:
please see photo attached for detailed analysis.
Find the flux of the vector field F = (0,0,3) across the slanted face of the tetrahedron z = 5-x-y in the first octant. Normal vectors point upward. Set up the integral that gives the flux as a double integral over a region R in the xy-plane. SSF-n ds = SSO A (Type an exact answer.) The flux is (Simplify your answer.)
To find the flux of the vector field F = (0, 0, 3) across the slanted face of the tetrahedron, we need to calculate the surface integral over the region R in the xy-plane.
The equation of the slanted face of the tetrahedron is given by z = 5 - x - y. To determine the limits of integration for the double integral, we need to find the projection of the region R onto the xy-plane.
By setting z = 0 in the equation of the slanted face, we can solve for the corresponding values of x and y:
0 = 5 - x - y
x + y = 5
This equation represents a straight line in the xy-plane passing through the points (5, 0) and (0, 5). This line determines the bounds for the double integral.
The flux integral can be set up as follows:
Flux = ∬_R F · n dA
Here, F = (0, 0, 3) is the vector field, and n is the outward unit normal vector to the surface. Since the normal vectors point upward, we can take n = (0, 0, 1).
The double integral over the region R in the xy-plane becomes:
Flux = ∬_R (F · n) dA
= ∬_R (0, 0, 3) · (0, 0, 1) dA
= ∬_R 3 dA
Since the integrand is a constant, we can evaluate the double integral by finding the area of region R in the xy-plane and multiplying it by the constant:
Flux = 3 * Area(R)
To determine the area of region R, we can calculate the area of the triangle formed by the line x + y = 5. The vertices of this triangle are (0, 5), (5, 0), and the origin (0, 0).
Using the formula for the area of a triangle, we have:
Area(R) = (1/2) * base * height
= (1/2) * 5 * 5
= 12.5
Therefore, the flux of the vector field across the slanted face of the tetrahedron is given by:
Flux = 3 * Area(R)
= 3 * 12.5
= 37.5
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Consider the following equations:
f(y) = y^2 + 2
g(y) = 0
y = -1
y = 2
Sketch the curve
To sketch the curve, we first need to plot the points where the equations intersect with the y-axis. For f(y) = y^2 + 2, when y = 0, f(y) = 2. So the point (0, 2) is on the curve. For g(y) = 0, the equation intersects with the y-axis at y = 0.
To sketch the curve for the given equations, follow these steps:
1. Identify the equations: We have f(y) = y^2 + 2, g(y) = 0, y = -1, and y = 2.
2. Plot the functions: f(y) is a parabolic curve with a vertex at (0, 2). g(y) is a horizontal line along the y-axis (y = 0). y = -1 and y = 2 are two horizontal lines at y = -1 and y = 2 respectively.
3. Sketch the curve: Draw the parabola f(y) = y^2 + 2 with its vertex at (0,
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The density, d, of an object can be found by using the formula d=\(\frac{m}{v}\), where m is the mass of the object and v is its volume. What is the density of an object that has a mass of 73,430 kilograms and a volume of 7 \(m^{3}\)
The density of an object is 10490kg/m^3.
How to find the density?Density is like rate. It tells you how much of a thing is available for each unit other thing which contains the first thing.
Density = (Total amount available)/(total space which contains that amount)
Given;
The mass of object= 73,430 kilograms
The volume of object= 7m^3
Now
D=mass/volume
D=73430/7
D=10490
Therefore, the density will be 10490kg/m^3.
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point j (-8 -12) is reflected over the x axis where is j
Answer:
J(0,2)
Step-by-step explanation:
When you reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate is transformed into its opposite (its sign is changed). If you forget the rules for reflections when graphing, simply fold your paper along the x-axis (the line of reflection) to see where the new figure will be located.
The new coordinate of the point j' will be (-8, 12).
What is a transformation of a point?A spatial transformation is each mapping of feature space to itself and it maintains some spatial correlation between figures.
It is the image of the point which is located in the opposite direction of a given point.
Point j (-8, -12) is reflected over the x-axis. Then the coordinate of the reflected point j' will be
If the coordinate of a point is (x, y) and it is reflected across the x-axis. Then the coordinate of the reflected point will be (x, -y).
Then the new coordinate of the point j' will be (-8, 12).
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What is the rule to find the missing term ? ( IMAGE HAS TABLE )
CHOICES
A. 2/n
B. n + 2
C. 2n
D. n - 2
~ PLEASE HELP ~
WILL GIVE BRAINLIEST
Answer:
Step-by-step explanation: g
(i) Given that f(x)=x4+2x, find f′(x) (ii) Hence, or otherwise, find ∫x4+2x2x3+1 dx. (b) (i) Use the substitution u=2x+1 to show that ∫x2x+1dx=41∫(u23−u21)du (2) (ii) Hence show that ∫04x2x+1dx=19.9 correct to three significant figures.
f′(x) = 4x^3 + 2, ∫x^4+2x/(2x^3+1) dx = 19.9 (approx.)
The first part of the question requires finding the derivative of f(x), which is f′(x) = 4x^3 + 2.
To evaluate the integral in the second part, we use the substitution u = 2x + 1. The integral becomes ∫(u^2)/(u + 1) du. Simplifying this expression leads to the result ∫(u^2 - u + 1 - 1)/(u + 1) du = ∫(u^2 - u + 1)/(u + 1) du = ∫(u - 1 + 2/(u + 1)) du.
Using this result, we can compute the definite integral ∫[0,4] (x^2)/(x + 1) dx by substituting u = 2x + 1 and evaluating the integral in terms of u. The result is approximately 19.9, correct to three significant figures.
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What is 2/5% as a fraction?
A balloon rises to the ceiling of a gymnasium. You want to find the distance from the ground to the balloon. You use a cardboard square to line up the balloon and the ground. Your friend measures the vertical distance from the ground to your eye and the distance from you to the gym wall. Approximate the distance from the ground to the balloon
This method works because it uses the right triangle theorem.
What is triangle?Triangle is a three-sided polygon that has three vertices and three angles. It is one of the basic shapes in geometry. A triangle with all sides equal is called an equilateral triangle, one with two sides equal is called an isosceles triangle, and one with all sides of different lengths is called a scalene triangle. Triangles are used in many fields, including engineering, architecture, and art.
The right angle of the triangle is formed by the line of sight from your eye to the balloon, and the two sides of the triangle are formed by the ground to your eye measurement and the distance from you to the gym wall. By multiplying the two measurements, you can estimate the height of the balloon from the ground.
This measuring method is simple and easy to use. All that is needed is a cardboard square, a tape measure, and a friend to help. It is also accurate since it uses the right triangle theorem. However, it is only an estimate of the true distance from the ground to the balloon. To get a more precise measurement, the angles of the triangle should be calculated and the measurements should be taken from two or three different points.
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Find the missing value so that the line passing through the points has the given slope.
(x,-4) and (2,8) m = -3
The value of x for the point will be equal to 6.
What is a slope?Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line. Th slope is also defined as the ratio of the rise to the run of the line on a coordinate plane.
Given that the points are (x,-4) and (2,8) and the slope is m = -3. The slope formula can be written as,
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Slope = ( 8 + 4 ) / ( 2 - x)
-3 = ( 8 + 4 ) / ( 2 - x)
-6 + 3x = 12
3x = 18
x = 18 / 3
x = 6
Therefore, the value of x for the point will be equal to 6.
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