Answer:
7
Step-by-step explanation:
jh
Answer:
7+32/77
Step-by-step explanation:
8) A plum grower finds that if she plants 26 trees per acre, each tree will yield 126 bushels of plums. She also estimates that for each additional tree that she plants per acre, the yield of each tree will decrease by 2 bushels. How many trees should she plant per acre to maximize her harvest and what is the maximum harvest?
The grower should plant 59 trees per acre to maximize her harvest, and the maximum harvest she can achieve is approximately 3540 bushels.
To determine the number of trees the plum grower should plant per acre to maximize her harvest, we can set up an equation and use calculus to find the optimal solution. Let's denote the number of additional trees planted as x.
The yield of each tree can be represented by the equation:
Yield = 126 - 2x
The total yield per acre is then given by:
Total Yield = (26 + x) * (126 - 2x)
To maximize the harvest, we need to find the value of x that maximizes the total yield. We can achieve this by finding the maximum point of the quadratic equation representing the total yield.
Differentiating the equation with respect to x and setting it equal to zero, we can find the critical point:
d(Total Yield)/dx = -4x + 252 - 2(26 + x) = 0
Simplifying the equation, we get:
-4x + 252 - 52 - 2x = 0
-6x + 200 = 0
x = 200/6
x ≈ 33.33
Since we cannot have a fraction of a tree, the grower should plant 33 additional trees per acre to maximize her harvest. This gives a total of 26 + 33 = 59 trees per acre.
To find the maximum harvest, we substitute the value of x into the equation for the total yield:
Total Yield = (26 + 33) * (126 - 2 * 33)
Total Yield ≈ 59 * 60
Total Yield ≈ 3540 bushels
Therefore, the grower should plant 59 trees per acre to maximize her harvest, and the maximum harvest she can achieve is approximately 3540 bushels.
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Tara and Edward each painted their bedrooms. They finished in the same amount of time, even though Edward's bedroom is bigger. They have 4 hours to start painting the basement before dinner is ready. Who will likely paint a larger part of the basement?
Marcus is trying to make a rectangular picture frame from wood. He nails together two 10-inch pieces of wood and two 8-inch pieces of wood as shown in the diagram. He wants to make sure that the frame is a rectangle, so he measures the diagonal. What must the length of the diagonal be to ensure that the corners of the frame are right angles? I just want to know what formula to use
Answer:
Step-by-step explanation:
You have right triangles, so use the Pythagorean Theorem
x = length of diagonal
8² + 10² = x²
164 = x²
x = √164 = 2√41 ≅ 12.8 in
The length of the diagonal be to ensure that the corners of the frame are right angles is 12.8 in.
What is the Pythagoras theorem?The Pythagoras theorem states that the square of the longest side must be equal to the sum of the square of the other two sides in a right-angle triangle.
|AC|^2 = |AB|^2 + |BC|^2
We are given that Marcus is trying to make a rectangular picture frame from wood. He nails together two 10-inch pieces of wood and two 8-inch pieces of wood as shown in the diagram.
Marcus wants to make sure that the frame is a rectangle, so he measures the diagonal.
We have right triangles, so use the Pythagorean Theorem;
x = length of diagonal
8² + 10² = x²
164 = x²
x = √164 = 2√41
x ≅ 12.8 in
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Determine whether the relation is a function. (-4,0),(-7,0),(-4,1),(-7,1) .
The given relation is not a function.
In a function, each input (x-value) must be associated with only one output (y-value). If there exists any input with multiple corresponding outputs, then the relation is not a function.
Looking at the given relation, we have the following pairs:
(-4,0), (-7,0), (-4,1), (-7,1)
We can see that both -4 and -7 are paired with two different outputs: 0 and 1. Since the inputs -4 and -7 have more than one corresponding output, the relation fails the criterion of a function.
Therefore, the given relation is not a function.
In more detail, we can observe that for x = -4, we have two corresponding outputs: y = 0 and y = 1. Similarly, for x = -7, we also have two corresponding outputs: y = 0 and y = 1. In a function, each unique input value should have a single corresponding output value. However, in this case, both -4 and -7 are associated with more than one output value. Hence, the relation violates the definition of a function. To represent this relation graphically, we would observe that there are two distinct points on the graph for each of the x-values -4 and -7. A function, on the other hand, would only have one point for each x-value.
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A statistics student wants to determine if there is a relationship between a student's number of absences, x, and their
grade point average (GPA), y. The given data lists the number of absences and GPAs for 15 randomly selected
students.
Number of
Absences
GPA
15 1 0
9
12
3
3
2.1 4.3 4.5 3.2 4.0 1.7 3.8 2.9
6
1
3.6
2 7
3.4
2.6
Using technology, the y-intercept is
O4.5, which means a student with no absences has a GPA of 4.5.
O 4.5, which means a student with no absences is predicted to have a GPA of 4.5.
O 3.79, which means a student with no absences is predicted to have a GPA of 3.79.
O 3.79, but it does not make sense to interpret the y-intercept in this context.
0 4
3.1
2.8
9 10
2.8
4.1
Answer: The correct answer is:
The y-intercept is 3.79, which means a student with no absences is predicted to have a GPA of 3.79.
Explanation:
To determine the relationship between the number of absences and the GPA, the student can use linear regression analysis. The regression line can be obtained using software such as Excel or R. The y-intercept of the regression line represents the predicted value of the response variable (GPA) when the predictor variable (number of absences) is zero.
Using technology, the y-intercept for this data set is found to be 3.79. This means that a student with zero absences is predicted to have a GPA of 3.79. Therefore, the correct answer is that the y-intercept is 3.79 and it does make sense to interpret it in this context.
Step-by-step explanation:
Maryam ate three cookies and Robert ate five cookies. There were twenty cookies in the package. What percent of the cookies did they eat?
Answer:
40%
Step-by-step explanation:
Total number of cookies eaten
= Cookies eaten by Maryam + Cookies eaten by Robert
= 3 + 5
= 8
Total number of cookies in the package = 20
∴Percent of cookies eaten = \(\frac{NumberOfCookiesEaten}{TotalNumberOfCookies}\) × 100%
= \(\frac{8}{20}\) × 100%
= 40%
pls help me answer 2.2.3 and 2.2.4
(2.2.4 needs to be converted)
ill give brainstorm
\(\bold{\huge{\underline{ Solution }}}\)
Analysis of graph :-We have given one graph which is plot between distance and time. where time is in minutes and distance is in seconds.
According to the graph
For the first 5 minute ( O to A) , The distance is continously increasing 2m / per minute . For the 5 minute that is from 5 minute to 13 minute ( A to B) both marellize and her dog wally moving with the constant speed .For next 3 minutes that is from 10 minutes to 13 minutes ( B to C) , The distance is continously decreasing with time .For next 3 minutes that is from 13 to 16 minutes ( C to D) , Again they moved with constant speed .For next 6 minute that is from 16 to 21 minutes ( D to E) . Again, There distance is increasing with time .Again For next 4 minutes that is 21 to 25 minutes , they are moving with constant velocity .Let's Begin :-1) Between O and A
The marellize and wally when moving between O to A , The distance is constantly increasing with time. The graph is Straight line2) Between A and B
The marellize and wally when moving between A to B, The distance remains the same with time that is they moving with constant speed. The graph is constant or steady3) Between B to C
The marellize and wally when moving between B to C, The distance is constantly decreasing with time .The graph is straight line but it follows decreasing function .4) For covering the First 6 km ,
According to the graph,
For covering first 6 km, They took 3 minutes.5) No, Marellize and wally walk does not from where they have started.
According to the graph
It is end at 5 m instead of 0m .The line between O and A is a straight line graph while A and B is a constant graph.
What is a graph?A graph simply means a pictorial representation of information or data that's given.
In this case, O and A is a straight line graph while A and B is a constant graph. A straight line graph illustrates a linear relationship between between the x and y values.
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Which set of ordered pairs represents a function?
{(2, –2), (1, 5), (–2, 2), (1, –3), (8, –1)}
{(3, –1), (7, 1), (–6, –1), (9, 1), (2, –1)}
{(6, 8), (5, 2), (–2, –5), (1, –3), (–2, 9)}
{(–3, 1), (6, 3), (–3, 2), (–3, –3), (1, –1)}
Solve 4(t - 7) = 12 - t *
how can I solve this ?
Answer:
t = 8
hope it help you
thanks!
Please help me. The question is in the image.
Answer:
x = 16
Step-by-step explanation:
(whole secant) x (external part) = (tangent)^2
(x+2) *2 = 6^2
2(x+2) = 36
Divide by 2
x+2 = 18
Subtract 2
x = 18-2
x = 16
Answer:
x = 16
Step-by-step explanation:
6^2 = 2(2+x) (Tangent Secant Product)
36 = 4 + 2x
32 = 2x
x = 16
plz try your best do not quess
Answer:
43 2/5
Step-by-step explanation:
change each of the mixed fractions to improper fraction.
-11 2/3 = -31/3
-4 1/5 = -21/5.
Multiply them now:
-31/3 x -21/5 = 651/15
Then turn 651/15 to a mixed fraction because the question was in mixed fractions:
43 6/15 = 43 2/5 (simplified)
Please mark brainiest
HELPP!! PLS PLS
can someone show me a graph of a line going through (-1,2) with a slope of -3/4
Answer:
We can start at the given point (-1, 2) and move down 3 units and right 4 units to plot the next point. Repeat this for however long you want the line to be.
Hope this helps!
Here is the diagram:
1. Solve for the unknown in each triangle. Round each answer to the nearest tenth.
The values of the missing sides are;
a. x = 35. 6 degrees
b. x = 15
c. x = 22. 7 ft
d. x = 31. 7 degrees
How to determine the valuesTo determine the values, we have;
a. Using the tangent identity;
tan x = 5/7
Divide the values
tan x = 0. 7143
x = 35. 6 degrees
b. Using the Pythagorean theorem
x² = 9² + 12²
find the square
x² = 225
x = 15
c. Using the sine identity
sin 29= 11/x
cross multiply the values
x = 11/0. 4848
x = 22. 7 ft
d. sin x = 3.1/5.9
sin x = 0. 5254
x = 31. 7 degrees
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PLSSS HELPPPPP
On the following number line, point C represents the integer -1. Identify the integer that each of the other letters represent.
A:
B:
D:
E:
Answer: B is 0 A is 1 D 2 E 3
Step-by-step explanation:
Answer:
a: 1
b: 0
d:2
e:3
Step-by-step explanation:
Since you already know that C is -1, you can add or subtract along the numberline by ones to get the values of each letter
Please help.
Will give brainliest!!!!
Answer:
the last answer
no solution
i just did this in my math class today
Step-by-step explanation:
A triangle is equal in area to a rectangle which measures 10cm by 9cm. If the base of the triangle is 12cm long, find its altitude
Answer:
h = 15 cm
Step-by-step explanation:
Area of triangle equals the area of rectangle. As the dimensions of the rectangle is given, we can first find the area of the rectangle.
\(\boxed{\bf Area \ of \ the \ rectangle = length * width}\)
= 10 * 9
= 90 cm²
Area of triangle = area of rectangle
= 90 cm²
base of the triangle = b = 12 cm
\(\boxed{\bf Area \ of \ triangle = \dfrac{1}{2}bh}\) where h is the altitude and b is the base.
\(\bf \dfrac{1}{2} b* h = 90 \\\\\dfrac{1}{2}*12* h = 90\)
\(\bf h = \dfrac{90*2}{12}\\\\\boxed{\bf h = 15 \ cm}\)
Find the vertex form,axis of symmetry,and vertex for y=2(x-2)^-3
hi there! here's my answer for you...
i do not think there is an answer since the equation you have given is not a conic section. therefore, there is no vertex form, axis of symmetry, or vertex.
hope this helped. have a good one!
What is the domain? I need help on this problem
The domain of the function \(f(x) = \sqrt{\frac{1}{3}x + 2\) is (d) x ≥ -6
How to determine the domain of the functionFrom the question, we have the following parameters that can be used in our computation:
\(f(x) = \sqrt{\frac{1}{3}x + 2\)
Set the radicand greater than or equal to 0
So, we have
1/3x + 2 ≥ 0
Next, we have
1/3x ≥ -2
So, we have
x ≥ -6
Hence, the domain of the function is (d) x ≥ -6
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PLS ANSWER ASAP 50 POINTS!!
Determine if you can use the hypotenuse-leg congruency property to prove the triangles are congruent.
A. No, the hypotenuse-leg congruence property cannot be applied, because we don't know if a leg of one triangle is congruent to a leg of the other triangle.
B. No, the hypotenuse-leg congruence property cannot be applied, because we don't know if the hypotenuses are congruent.
C.Yes, the hypotenuse-leg congruence property can be applied.
D. No, the hypotenuse-leg congruence property cannot be applied, because we don't know if the triangles are right triangles.
No, the hypotenuse-leg congruence property cannot be applied, because we don't know if the hypotenuses are congruent.
What is hypotenuse?
The side opposite to the right angle is always the hypotenuse of a right triangle . It is also the longest side in a right triangle.
what is hypotenuse-leg congruence property?
HL (hypotenuse-leg) congruence Property: The hypotenuse-leg congruence property only applies to the right triangles.
According to hypotenuse-leg congruence property, in any two right angle triangles if the length of the hypotenuse of both the triangles are same and the length of one leg of the triangle is the same in both then the triangles are congruent in nature.
In the given case , leg of one triangle is congruent to a leg of the other triangle and also the triangles are right triangles but the hypotenuse-leg congruence property cannot be applied, because we don't know if the hypotenuses are congruent.
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I need help I don't understand this stuff it is very confusing
3x=y
y=2x+2
please help with this!!!
Answer:
second option ∠C = 60 degrees
Step-by-step explanation:
To find the angle C
we know that the sum of all interior angles of triangle is 180
∠A + ∠B + ∠C = 180 (sum of interior angles)
90 + 30 + ∠C = 180
120 + ∠C= 180
∠C = 180 - 120
∠C = 60
Answer: B. 60
Concept:
Here, we need to know the idea of the triangle angle sum theorem.
The triangle angle sum theorem states that the sum of interior angles is 180 degrees.
Step-by-step explanation:
Given information
∠A = 90°
∠B = 30°
∠C = unknown
Given expression deducted from the triangle angle sum theorem
∠A + ∠B + ∠C = 180
Substitute values into the expression
90 + 30 + ∠C = 180
Combine like terms
120 + ∠C = 180
Subtract 120 on both sides
120 + ∠C - 120 = 180 - 120
∠C = \(\boxed{60}\)
Hope this helps!! :)
Please let me know if you have any questions
If f(x) = 3x - 1 and g(x) = x + 2, find (f + g)(x)
A) 2x-3
B)3x-3
C)4x+1
D)2x-1
Answer:
C.
Step-by-step explanation:
In terms of regular polygons, as we saw earlier, let’s say we wanted to find an estimate for pi, which is used in finding the area of a circle. We won’t actually find an estimate, because the math is a bit tricky, but how would we go about finding that estimation? How can we change our polygon to look like a circle, and what does that mean about our variables in the equation we made above?
By increasing the number of sides of a regular polygon, we can estimate the value of pi. Repeat steps 3 and 4 until the area of the polygon is close to the area of a circle with the same radius.
To find an estimate for pi using regular polygons, we can do the following:
Start with a regular polygon with a small number of sides, such as a triangle.
Calculate the area of the polygon.
Increase the number of sides of the polygon.
Calculate the area of the new polygon.
Repeat steps 3 and 4 until the area of the polygon is close to the area of a circle with the same radius.
As the number of sides of the polygon increases, the area of the polygon will get closer and closer to the area of a circle. This is because a regular polygon with a large number of sides will closely resemble a circle.
The equation for the area of a regular polygon is:
Area = (s^2 * n) / 4
where s is the side length of the polygon, n is the number of sides, and pi is approximately equal to 3.14.
As the number of sides of the polygon increases, the value of n in the equation will increase. This will cause the area of the polygon to increase, and the value of pi in the equation will approach 3.14.
Therefore, by increasing the number of sides of a regular polygon, we can estimate the value of pi.
The more sides the polygon has, the closer the estimate will be to the actual value of pi. However, the math involved in calculating the area of a polygon with a large number of sides can be very complex.
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2 sin (x - y)
cos (x + y) cos (x - y)
= cotx- cot y
The pirouette dance team needs more than $300 to cover
costume expenses. they have $75 and plan to sell raffle tickets,
r, for $5 each in order to raise money.
Answer:
You need "more than" 300.
Step-by-step explanation:
i did the test
plsss help urgent !
Only 5/8 of the class completed 1/2 of their homework. What is the rate of the homework per class?
what is the unit of measurement for coding the length of lacerations? a. square inches b. inches c. square centimeters d. centimeters
The unit of measurement for coding the length of lacerations d)centimeters.
Centimeters are the most common unit of measurement used to code the length of lacerations. This is because they are a small enough unit of measurement that they can accurately describe even the smallest of lacerations.
Centimeters are also the most commonly used metric unit of length, making them the most useful when coding lacerations for medical records. In addition, centimeters are a more precise unit of measurement than inches and are accepted internationally as a unit of measurement, making them the best choice when coding lacerations.
Finally, centimeters are consistent units of measurement, making it easy to compare laceration lengths between different patients and different medical records.
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Which type of function is shown in the table below?
Answer:
Exponential
Mark brainliest :)
simplify:
A. -9(-2)
B. -9(+6)
C. -9/-3
D. 9/-1
Answer:
A. 18
B. -3
C. 3
D. -9
Step-by-step explanation:
Simplify:
A. -9(-2) <== when multiplying two negatives, they make a positive
-9(-2) = 18
B. -9(+6)
-9(+6) = -3
C. -9/-3 <== when dividing two negatives, they make a positive
-9/-3 = 3
D. 9/-1 <== when dividing a # with a negative, it makes a negative
9/-1 = -9
Hope this helps!