Answer: The answer is 6.25
Step-by-step explanation:
Answer:
6.25
Step-by-step explanation:
In a shipment of 1,750 seeds of each type, how many more defective bean seeds would be expected than pumpkin seeds?
There would be 35 more defective bean seeds than pumpkin seeds in the shipment.
How to solveCalculate the number of defective bean seeds:
Defective bean seeds = Total bean seeds * Defect rate for bean seeds
Defective bean seeds = 1,750 * 0.05 = 87.5
Since we can't have half a seed, we'll round it up to the nearest whole number.
Defective bean seeds = 88
Calculate the number of defective pumpkin seeds:
Defective pumpkin seeds = Total pumpkin seeds * Defect rate for pumpkin seeds
Defective pumpkin seeds = 1,750 * 0.03 = 52.5
Similarly, we'll round it up to the nearest whole number.
Defective pumpkin seeds = 53
Calculate the difference in defective seeds:
Difference in defective seeds = Defective bean seeds - Defective pumpkin seeds
Difference in defective seeds = 88 - 53 = 35
So, there would be 35 more defective bean seeds than pumpkin seeds in the shipment.
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In a shipment of 1,750 seeds of each type, with a defect rate of 5% for bean seeds and 3% for pumpkin seeds, how many more defective bean seeds would be expected than pumpkin seeds?
I need help please
here is the picture is about Row Ops
The result of the carrying out the operation, Add -4(row 1) to row 3, on the given matrix is:
[tex]\left[\begin{array}{ccc|c}1&2&1&-5\\0&4&-2&3\\0&-9&2&12\end{array}\right][/tex]
Reducing row matricesFrom the question, we are to perform the given row operation on the given matrix
From the given information, the given matrix is:
[tex]\left[\begin{array}{ccc|c}1&2&1&-5\\0&4&-2&3\\4&-1&6&-8\end{array}\right][/tex]
We are to carry out the operation
Add -4(row 1) to row 3
This means we should multiply row 1 by -4
-4 × [ 1 2 1 | -5
-4 -8 -4 | 20
Now, we will add the result to row 3
4 -1 6 | -8
-4 -8 -4 | 20
------------------------
0 -9 2 | 12
Hence,
The resulting matrix becomes
[tex]\left[\begin{array}{ccc|c}1&2&1&-5\\0&4&-2&3\\0&-9&2&12\end{array}\right][/tex]
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James deposited $10,000 into an account that earns 5.5% compound interest, compounded semiannually. How much interest will James earn after 10 years?
Answer:
$17,204.28
Step-by-step explanation:
So first of all you want to start by finding what P, r and t would be.
P = Principal amount ($$)r = interest rate (%)t = time (years)Once I found all of those I put them into the equation (l = Prt) and solved (by putting it into a calculator obviously). That is how I came up with my answer. Check the screenshot provided to see what P, r and t would be and to see all my work! :)
Hope this helps! :)
Have a great day!
help with this word problem
The height of the school building is approximately 4.38 meters (rounded to the nearest hundredth).
How to calculate the heightJX / BX = JM / BT
Substituting the known values, we get:
(d1 + d2) / h = d1 / (h - 1.75)
(d1 + d2) * (h - 1.75) = d1 * h
d1 * h + d2 * h - 1.75 * d1 - 1.75 * d2 = d1 * h
d2 * h - 1.75 * d1 - 1.75 * d2 = 0
h = (1.75 * d1 + 1.75 * d2) / d2
h = (1.75 * 8.75) / 3.5
h = 4.375
The height of the school building is approximately 4.38 meters
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The pair of polygons is similar. Find the missing side measure
The missing side measure is equal to: A. 14.
What is scale factor?In Mathematics and Geometry, the scale factor of a geometric figure can be calculated by dividing the dimension of the image (new figure) by the dimension of the pre-image (original figure):
Scale factor = Dimension of image (new figure)/Dimension of pre-image (original figure)
By substituting the given parameters into the formula for scale factor, we have the following;
Scale factor = Dimension of image/Dimension of pre-image
4/5.6 = 10/x
4x = 56
x = 56/4
x = 14
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
Graph the parabola.
y=x^2-2x+4
Plot five points on the parabola: the vertex, two points to the left of the vertex, and two points to the right of the vertex. Then click on the graph-a-function button.
A graph of the parabola with five points on the parabola is shown below.
What is the vertex form of a quadratic equation?In Mathematics and Geometry, the vertex form of a quadratic equation is given by this formula:
y = a(x - h)² + k
Where:
h and k represents the vertex of the graph.a represents the leading coefficient.For the given quadratic function, we have;
y = x² - 2x + 4
When x = 0, we have:
y(0) = 0² - 2(0) + 4
y(0) = 4
When x = 2, we have:
y(2) = 2² - 2(2) + 4
y(2) = 4
When x = -2, we have:
y(-2) = -2² - 2(-2) + 4
y(-2) = 12
When x = 4, we have:
y(4) = 4² - 2(4) + 4
y(4) = 12
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What is the sine of 0?
The sine of angle θ is given as follows:
sin(θ) = -8/17.
What is the unit circle?For an angle [tex]\theta[/tex] the unit circle is a circle with radius 1 containing the following set of points: [tex](\cos{\theta}, \sin{\theta})[/tex].
The point in this problem has the coordinates given as follows:
(15/17, -8/17).
Hence the trigonometric ratios are given as follows:
cos(θ) = 15/17.sin(θ) = -8/17.More can be learned about trigonometric ratios at brainly.com/question/24349828
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‼️‼️WILL MARK BRAINLIEST IF HELPFUL‼️‼️
The area of the composite figure is equal to 75.5 square meters
How to calculate for the area of the figureThe composite figure can be observed to be made up of a big rectangle, a smaller rectangle, a triangle and a smaller triangle. We calculate for the area of the four shapes and sum the results to get the total area of the composite figure as follows:
area of the big rectangle = 6 m × 4 m = 24 m²
area of the smaller rectangle = 7 m × 2 m = 14 m²
area of the big triangle = 1/2 × 10 m × 6 m = 30 m²
area of the smaller triangle = 1/2 × 5 m × 3 m = 7.5 m²
total area of the composite figure = 24 m² + 14 m² + 30 m² + 7.5 m²
total area of the composite figure = 75.5 m²
Therefore, the area of the composite figure is equal to 75.5 square meters
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otal assets of Charter Company equal $880,000 and its equity is $510,000. What is the amount of its liabilities?
b. Total assets of Martin Marine equal $680,000 and its liabilities and equity amounts are equal to each other. What is the amount of its liabilities? What is the amount of its equity?
Answer:A=OE+L
Step-by-step explanation:
880000=51000+L
Liabilities=370000
680000=2x
The amount of its equity of 340000 for the second problem
Answer:3,000
Step-by-step explanation:
4. What is the equation of the given graph?
1
A) y=-2x-3
B) y = -1/2x +3
C) y=1/2x-3
D)y=1/2x-3
Answer: D
Step-by-step explanation:
The equation for a linear function is y = mx + b
We first need to find the slope of the object, we can see here than it perfectly lands on the point, (0, -3) and (6,0). We can use this formula to determine the slope:
(y2 - y1)/(x2 - x1)
Now let's plug in the numbers.
(0 + 3) / (6 - 0)
3/6
1/2
Now we know the slope is 1/2 and the y-intercept is -3, so let's make it into a slope-intercept form.
y = 1/2x - 3
g(x)=2x
h(x)=x^(2)+4
evaluate for g(h(-8))
The value of the function is 136
How to determine the functionIt is important that we note that functions are described as expressions that are used to explain the relationship between two variables.
From the information given, we have that;
g(x)=2x
h(x)=x^(2)+4
To determine the composite function, we would need to substitute the value of h(-8) as x in the function g(x)
Then, we have that;
h(-8) = (-8)^2 + 4
Find the values
h(-8) = 68
Now, substitute the value as x , we have that;
g(h(-8)) = 2(68)
expand the bracket and multiply
g(h(-8)) = 136
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Cami cut 17 1\2
inches off a rope that was 50 inches long. How is the length of the remaining rope in inches written in decimal form?
After Cami cut 17¹/₂ inches of a rope that was 50 inches long, the length of the remaining rope in inches, written in decimal form, is 32.5 inches.
How is the remaining length of the rope determined?To determine the remaining length of the rope, we apply subtraction operation.
However, since the cut rope was expressed in fractions, we can convert it to decimals before the subtraction.
The total length of the rope = 50 inches
The cut portion of the rope = 17¹/₂ inches
The remaining portion = 32¹/₂ inches or 32.5 inches (50 - 17¹/₂)
Thus, the remaining portion of the rope after Cami cut 17¹/₂ inches is 32.5 inches.
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If GI and JL are parellel lines and m
The measure of angle IHE is 23°.
Since DF and GI are parallel, we know that angle HJF is congruent to angle GHJ. Therefore, we have:
mHJF = mGHJ = 134°
We can now use this information to find the measure of angle IHE. To do this, we need to use the fact that the sum of the angles in a straight line is 180°. Since H, J, F, and I lie on a straight line, we have:
mHJF + mFJI + mIHE = 180°
Substituting the values we know, we get:
134° + mFJI + mIHE = 180°
Simplifying the equation, we get:
mFJI + mIHE = 46°
We still need to find the measure of angle FJI. To do this, we can use the fact that the angles in a triangle add up to 180°. Triangle GHJ is a straight line, so its angles add up to 180°. Therefore, we have:
mGHJ + mHJF + mFJI = 180°
Substituting the values we know, we get:
134° + mFJI + mFJI = 180°
Simplifying the equation, we get:
2mFJI = 46°
Dividing both sides by 2, we get:
mFJI = 23°
Finally, we can substitute this value back into our earlier equation to find the measure of angle IHE:
mFJI + mIHE = 46°
23° + mIHE = 46°
Subtracting 23° from both sides, we get:
mIHE = 23°
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Complete Question:
If DF and GI are parallel lines and mGHJ = 134°, what is mIHE?
The table below shows the number of people in an arena t minutes after an event has ended.
T= minutes after event ended: 4 8 12 16 20 24
F(t)= number of people in area: 15221 10649 7375 4859 3468 2285
-Use the regression capability of your graphing calculator to find an exponential equation matching this data. Round values to three decimal places.
F(T)= ___
-use your equation (with values rounded to three decimal places) to help you answer the following questions.
(Note: do not use the data table to answer these questions) Round your answers to the nearest whole number.
- How many people were in the arena 23 minutes after the event ended?
-How many people were in the arena 60 minutes after the event ended?
How many people were in the arena at the exact moment the event ended?
Approximately 19142 people were in the arena at the exact moment the event ended.
How to solveTo decipher an exponential equation synchronous with the provided data, we will employ the equation of [tex]F(t) = a * b^t.[/tex]
Herein, 'F(t)' stands for the total number of attendees in the stadium at 't' minutes after the stoppage of the event, with 'a' symbolizing the initial value and 'b' being the base.
Exploiting the regression aptitudes of a graphing calculator, the exponential equation that most adequately applies to the listed information is: [tex]F(t) = a * b^t[/tex] with three decimal points specified.
F(t) = 19141.846 * 0.718^t
Using the equation:
[tex]F(23) = 19141.846 * 0.718^2^3 = 2726[/tex]
Answer: Approximately 2726 people were in the arena 23 minutes after the event ended.
How many people were in the arena 60 minutes after the event ended?
[tex]F(60) = 19141.846 * 0.718^6^0 = 123[/tex]
Answer: Around 123 people were in the arena a full hour after the occurrence concluded.
How many people were present precisely when the event wrapped up?
F(0) = 19141.846 * 0.718^0 = 19141.846 * 1 = 19141.846
Answer: Approximately 19142 people were in the arena at the exact moment the event ended.
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Find the work done in pushing a car along a level road from point A to point B, 79 feet from A, while exerting a constant force of 103 pounds. Round to the nearest foot-pound.
The work done is
foot-pounds
The work done in pushing the car along the level road from point A is found to be 8147 foot-pounds.
The work done in pushing a car along a level road can be calculated using the formula,
work = force × distance × cos(angle) where the angle between the force and the direction of motion is 0 degrees (since the force is parallel to the level road). The force is given as 103 pounds, and the distance is 79 feet. Therefore,
work = 103 × 79 × cos(0) = 8147 foot-pounds
Rounding to the nearest foot-pound, the work done in pushing the car from point A to point B is 8147 foot-pounds.
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The weights of edges in a graph are shown in the table above. Find the minimum cost spanning tree on the graph above using Kruskal's algorithm. What is the total cost of the tree?
The answer is 11 or at least i think it is
A laptop computer is purchased for $4700. Each year, it’s value is 80% of its value the year before. After how many years will the laptop computer be worth $1000 or less?
Answer:
Step 1:
Let x = number of years
Let y = Value of the laptop after x years
Step 2:
Write an equation that expresses the value of the laptop after x years y = 0.8((4700)x)
Step 3:
Set the equation equal to 1000 and solve for x
1000 = 0.8((4700)x)
1 = 0.8(4700)x
1/0.8 = 4700x
1.25 = 4700x
x = (1.25/4700)
Answer: The laptop will be worth $1000 or less after 0.0026608 years.
Answer:
1 year
Step-by-step explanation:
4700 x .8= 3760
4700 - 3760 = 940$
In 1 year the laptop will be $940
For each graph below, state whether it represents a function. I don’t know if I got them right
Answer:
Step-by-step explanation:
Use the vertical line test. If you can draw a vertical line that cuts more than one point then the graph is not a function.
The only one that is incorrect is graph 4. It is a function (no vertical line will cut the graph more than once).
find the diameter of a circle whose circumference is 44cm
Maria has 56 flower seeds. She wants to put an equal amount of seeds into 8 bags How many seeds will go in each bag?
Answer:
7 seeds will go into each bag
Given:
56 flower seeds need to be put into 8 separate bags.
To find out how much go into each bag you will divide the number of seeds by the number of bags
56/8=7
So 7 seeds will go into each of the 8 bags
Please need answer 17.
Answer:
sec(θ) = √10/3tan(θ) = 1/3Step-by-step explanation:
You want the tangent and secant of the angle θ the line x-3y=0 makes with the negative x-axis.
Trig functionsThe relations between the angle and its trig functions are ...
Tan = Opposite/Adjacent
Sec = Hypotenuse/Adjacent
Unit circleWe have shown the angle of interest in a unit circle with the "adjacent" side equal to the radius of the circle (1). Then the values of interest are ...
tan(θ) = opposite side = 1/3 . . . . . . . equal to the slope of the line
sec(θ) = hypotenuse = √(1 +(1/3)²) = √(10/9) = (√10)/3
The tangent is 1/3; the secant is (√10)/3.
__
Additional comment
A third-quadrant angle measured from the +x axis has a negative secant. The tangent is positive there.
Since this angle is measured from the -x axis, it isn't clear whether it is supposed to be considered a 3rd-quadrant angle or not. For the given acute angle θ shown, the trig functions are both positive. YMMV
50 Points! Multiple choice algebra question. Find the domain and range of the function whose graph is shown. Photo attached. Thank you!
Answer:
"B". Domain is all real numbers, and the Range is all positive real numbers
Step-by-step explanation:
It is important to recognize that this function is an exponential function, either by the graph (observe a horizontal asymptote on the x-axis, and increasing exponentially), or more importantly by the equation which is in exponential form [tex]y=a*b^x[/tex] where "a" is a non-zero real number, and "b" is a positive real number not equal to 1.
Observe that for the given function, a=4 (a real number not equal to zero), and b=2 (a positive real number that is not 1).
The domain for all exponential functions is all real numbers, so this function's domain is all real numbers.
The Range for exponential functions depends on "a", where if "a" is a positive number the Range is positive numbers only, and if "a" is a negative number, the Range is negative numbers only.
Since "a" is positive, the Range is positive numbers only.
Writing the Domain in "set-builder notation" (since all of the choices are given using that notation), the Domain is "all real numbers" put into curly brackets, so {all real numbers}.
Writing the Range in "set-builder notation", recall that the Range is the outputs of the function, so the Range is "y values such that y is greater than zero". There is some shorthand used, where the phrase "such that" is symbolized using a short vertical line (common in set-builder notation), and the phrase "y is greater than zero" is shortened using inequality symbols "y>0". So, the Range is written as { y | y>0 }.
Further, the "Domain" and "Range" are abbreviated with "D" and "R" respectively.
Therefore, the final answer would be D = {all real numbers}; R = { y | y>0 }, which is answer "B"
what is the expanded notation of -6⁷
Answer:
The expanded notation of -6⁷ means writing the number -6⁷ as a sum of its place values.
-6⁷ can be written as:
-6 × 6 × 6 × 6 × 6 × 6 × 6
or
-6 × (6 × 6 × 6 × 6 × 6 × 6)
or
-6 × 6⁶
In expanded notation form, it can be written as:
-6 × (6 × 6 × 6 × 6 × 6 × 6)
= -6 × (46656)
= -279936
Therefore, the expanded notation of -6⁷ is -279936.
Step-by-step explanation:
If the profit function for a product is
P(x) = 2800x + 85x^2 − x^3 − 109,000
dollars, selling how many items, x, will produce a maximum profit?
Find the maximum profit.
The maximum profit that for the equation p(x) = 2800x - 85x² - x³ - 109000 is $672500
What is an equation?An exponential equation is an expression that shows how numbers and variables using mathematical operators.
Given the profit function:
p(x) = 2800x - 85x² - x³ - 109000
The profit is maximum at:
p'(x) = 0
p(x) = 2800 + 170x - 3x²
2800 + 170x - 3x² = 0
x = 70
p(70) = 2800(70) - 85(70)² - (70)³ - 109000 = 672500
The maximum profit is $672500
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PLEASE HELP WITH THE IMAGE!! ITS DUE TOMORROW
Answer:no image
Step-by-step explanation:
Step-by-step explanation:
No image is overe there please add the image
Suppose that the function is defined, for all real numbers, as follows.
The graph of the function "g", which is defined for all "real-numbers" is shown below.
The function "g" which is defined for all "real-numbers" is represented as :
g(x) = {2 if x<0,
{-1 if x=0
{-3 if x>0
this function means that, for every input-value, which is less than 0, the output will be always 2,
For the input-value "0", the output-value will be = -1;
For all the input-value which are greater than "1", the out will be always "-3",
So, from the above information, the graph is plotted below,
The red-line represents "2 if x<0", the green line represents "-3 if x>0".
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200 000+40 000+8 000+10+8 in standard form
Answer:
240 8018
Step-by-step explanation:
two hundred forty eight thousand and eighteen
How many quarters do you need to add to 31/4 to get 41/2
Answer:
51/4 quarters
Step-by-step explanation:
To add fractions with different denominators, we need to find a common denominator. In this case, the common denominator for 4 and 2 is 4x2=8.
So we need to convert both fractions to have a denominator of 8:
31/4 = (31/4) x (2/2) = 62/8
41/2 = (41/2) x (4/4) = 164/8
Now we can add the fractions:
62/8 + x/4 = 164/8
Subtracting 62/8 from both sides:
x/4 = 102/8
Simplifying:
x = 51/4
Therefore, we need to add 51/4 quarters to 31/4 to get 41/2
A bank offers an investment account with an annual interest rate of 1.51% compounded quarterly. Charlie invests 4200 into the account for 5 years. Answer the questions below. Do not round any intermediate computations, and round your final answers to the nearest cent. If necessary, refer to the list of financial formulas.
After 5 years, there will be $4,528.73 in Charlie's account if no withdrawals are made.
How much money is in Charlie's account after 5 years?Compound interest means addition of interest to the principal sum of a loan or deposit. To get the amount, we will use the formula [tex]A=P(1+r/n)^{nt}[/tex] to get sum of money in the account.
Data:
P = 4,200, r = 1.51%, m = 4, t = 5
Plugging the values, we get:
[tex]A = 4200(1+0.0151/4)^{4*5}\\A = 4200* {1.003775}^{20}\\A = 4200*(1.07826994224)\\A = $4528.73375741\\A = $4528.73.[/tex]
Complete question "A bank offers an investment account with an annual interest rate of 1.51% compounded quarterly. Charlie invests 4200 into the account for 5 years. Answer the questions below. Assuming no withdrawals are made, how much money is in Greg's account after 5 years?"
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3x^6 • 5x^-2 simplified
Answer:
First, you distribute the 3 into the brackets,
3(x - 2) + 5x
=3(x) + 3(-2) + 5x
=3x - 6 + 5x
Adding the like terms, 3x and 5x, gives you
=8x - 6
Step-by-step explanation: