Answer:
answer is the second option m<-2 7/12
Step-by-step explanation:
process:
convert -2 1/4 into an improper fraction
m+1/3 < -9/4
m <-9/4 -1/3
calculate the difference
m<-31/12
turn into a mixed fraction
Two books, A and B, are sold in three stores, X, Y and Z. The number of copies of book A sold in a month is 40, 20, and 60 from stores X, Y, and Z, respectively. The number of copies of book B sold is 10, 70, and 20 from X, Y, and Z, respectively. The profit from the sales of book A is $4, and the profit from the sales of book B is $1 for all the three stores. Which matrix represents the profit from the sales of book A for each store?
The matrix representing the profit from the sales of book A for each store is:
[ $4 ]
[ $4 ]
[ $4 ]
To represent the profit from the sales of book A for each store, we can use a matrix where the rows correspond to the stores (X, Y, Z) and the columns correspond to the book A.
The matrix representing the profit from the sales of book A for each store is as follows:
Store Book A
X $4
Y $4
Z $4
Therefore, the matrix representing the profit from the sales of book A for each store is:
[ $4 ]
[ $4 ]
[ $4 ]
Each element in the matrix represents the profit from the sales of book A in a specific store, which is $4 for all stores (X, Y, Z).
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A triangle has side lengths of 16cm, 63cm, and 65cm. Classify it as acute, obtuse or right.
Please helpppp!!!
9514 1404 393
Answer:
right
Step-by-step explanation:
If you're going to be in the business of classifying triangles based on side lengths, it can be useful to know there is a "form factor" that can help. For sides a, b, c, with long side 'c', it is computed as ...
f = a² + b² - c²
It has the following interpretation with respect to triangle shape:
f > 0 . . . acute
f = 0 . . . right
f < 0 . . . obtuse
__
In this case, we have ...
16² +63² -65² = 256 +3969 -4225 = 0
The triangle is a right triangle.
_____
Additional comment
When the triangle is a right triangle, this is equivalent to a statement of the Pythagorean theorem: c² = a² + b².
For triangles of other shapes, the interpretation is consistent with the Law of Cosines. When the form factor is divided by 2ab, the result is the cosine of the largest angle. That is why >0 means acute and <0 means obtuse.
Mr . Owen's boat weighs 2.5 tons. What is the weight of the boat in pounds?
Answer:
The boat weighs 5000 pounds
Jake ran a full marathons of 26 miles. His average speed was 6 miles per hour. About how long did it take him to cross the finish line?
Answer:
Step-by-step explanation:
273m
i would really appreciate if someone could help me with this alll you have to do is order them in the correct order form least to greatest i would give you a brainly
Answer:
From least to greatest it is:
3.441, 4 4/9, 89/20, 4.93
Which of the following would you consider to be an example of a geometric line segment? Please
explain your answer or answers.
The 10-yard line on a football field
A scientist's line of vision as he looks into space with a telescope
A line of 15 dancers on stage
A light shone into the darkness
Hands of a clock
Answer:
The 10-yard line on a football field
Step-by-step explanation:
A geometric line segment is a straight path of points(that is a line) that has two end points (that is a beginning and an end). A 10 yard line on a football field is a line segment because it has two endpoints which is at the beginning of the 10 yard and at the end of the 10 yard.
A scientist's line of vision as he looks into space with a telescope is not a line segment because it extends forever (has no end).
A line of 15 dancers on stage is not a line segment, A light shone into the darkness is not a line segment because it continues forever and also, the hands of a clock is also not a line segment.
Select all ratios equivalent to 8:16.
14:12
13:32
3:6
Answer:
3:6
Step-by-step explanation:
8:16 is a 1/2 ratio
The perimeter of a is 99 ft, and the lenght is twice the width. What are its dimensions?
Answer:
no
Step-by-step explanation:
no no no no no no no no no no no no no no no no no no no
Write the expression without using exponents.
(−9x)4
The expression (-9x)^4 can be represented as -6561x^3 without using exponents.
To express the expression (-9x)^4 without using exponents, we can expand it by multiplying the base (-9x) four times using the multiplication property.
(-9x)^4 = (-9x) * (-9x) * (-9x) * (-9x)
To simplify this expression, we can multiply the terms together, taking care to apply the rules of multiplication:
(-9x) * (-9x) = (-9 * -9) * (x * x) = 81 * x^2 = 81x^2
So, by substituting this result back into the original expression, we get:
(-9x)^4 = 81x^2 * (-9x) = -6561 x^3
Therefore, the expression (-9x)^4 can be represented as -6561x^3 without using exponents.
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The diameter of a circle is 6 cm. Find the circumference to the nearest tenth to the nearest tenth.
The circumference of a circle with diameter 6cm is 18.85 cm.
What is Circle?A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.
Given that diameter of a circle is 6 cm.
We need to find the circumference of circle with diameter 6 cm.
The formula to find circumference of circle=2πr
Radius=Diameter/2
=6/2=3 cm
Circumference of circle=2×3.14×3
=18.85
Hence, the circumference of a circle with diameter 6cm is 18.85 cm.
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Answer:
Step-by-step explanation:
18.8
The line plot displays the number of roses purchased per day at a grocery store.
A horizontal line starting at 0 with tick marks every one unit up to 10. The line is labeled Number of Rose Bouquets, and the graph is titled Roses Purchased Per Day. There is one dot above 10. There are two dots above 1 and 4. There are three dots above 2 and 5. There are 4 dots above 3.
Which of the following is the best measure of variability for the data, and what is its value?
The IQR is the best measure of variability, and it equals 3.
The IQR is the best measure of variability, and it equals 9.
The range is the best measure of variability, and it equals 3.
The range is the best measure of variability, and it equals 9.
The range is the best measure of variability for this data, and its value is 4.
Which of the following is the best measure of variability for the data, and what is its value?The line plot displays the number of roses purchased per day at a grocery store, with the data values ranging from 0 to 4 (since there are no dots above 4).
The best measure of variability for this data is the range, which is the difference between the maximum and minimum values in the data set. In this case, the minimum value is 0 and the maximum value is 4, so the range is:
Range = Maximum value - Minimum value = 4 - 0 = 4
Therefore, the range is the best measure of variability for this data, and its value is 4.
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Please tell me these true/false answers.
Ryan buys lunch for $16.83. If sales tax is 8.4%, How much money does Ryan need total for lunch
\(\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{8.4\% of 16.83}}{\left( \cfrac{8.4}{100} \right)16.83} ~~ \approx ~~ 1.41~\hfill \underset{ Total~for~lunch }{\stackrel{ 16.83~~ + ~~1.41 }{\approx\text{\LARGE 18.24}}}\)
What is the value of the expression (3a-b)/(6(b+a)) when a = 5 and b = -3? Show your work to support your answer
Answer:
-3
Step-by-step explanation:
So you have \(\frac{3a-b}{b(b+a)}\) , and with the numbers plugged in, it's \(\frac{3(5)+(-3)}{-3(-3+5)}\). Solve this and you get \(\frac{18}{-6}\). When it's simplifyed, you have \(\frac{-3}{-1}\), which is -3.
Find the surface area of the triangular prism. A triangular prism. The base is a right triangle with base and height 4 millimeters, and the third side 5.7 millimeters. The height of the prism is 3 millimeters.
The surface area of the triangular prism is approximately 44.29 square millimeters.
What is surface area?
Surface area is the total area that the surface of a three-dimensional object covers. It is a measure of the amount of space that the surface of an object occupies. Surface area is usually measured in square units such as square meters, square centimeters, square inches, or square feet.
What is the area?
The total space occupied by a flat (2-D) surface or the shape of an object is defined as its area.
The area of a plane figure is the space enclosed by its boundary.
According to the given information:
To find the surface area of a triangular prism, we need to add up the area of all the faces. A triangular prism has three rectangular faces and two triangular faces.
Let's start by finding the area of the triangular faces. The base of the triangular prism is a right triangle with base 4 millimeters, height 4 millimeters, and hypotenuse 5.7 millimeters. We can use the Pythagorean theorem to find the missing side:
\(a^2 + b^2 = c^2\\4^2 + 4^2 = 5.7^2\)
16 + 16 = 32.49
32 = 32.49 - 0.49
32 = 32
So the missing side has length \(\sqrt{(5.7^2 - 4^2)} =3.69 millimeters.\) This is the base of each triangular face.
The height of the triangular prism is 3 millimeters, so the height of each triangular face is also 3 millimeters.
The area of each triangular face is:
(1/2) × base × height
= (1/2) × 3.69 × 3
≈ 5.54 square millimeters
So the total area of the two triangular faces is:
2 × 5.54= 11.08 square millimeters
Now let's find the area of each rectangular face. The length of each rectangular face is the same as the base of the triangular face, which is 3.69 millimeters. The width of each rectangular face is the height of the triangular prism, which is 3 millimeters.
The area of each rectangular face is:
length × width
= 3.69 × 3
≈ 11.07 square millimeters
So the total area of the three rectangular faces is:
3 × 11.07
= 33.21 square millimeters
To find the surface area of the triangular prism, we add up the area of all five faces:
11.08 + 33.21
= 44.29 square millimeters
Therefore, the surface area of the triangular prism is approximately 44.29 square millimeters.
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Which of the following sets of ordered pairs represents a function? PLEASE HELP
The set of ordered pairs that represents a function is (D) {(-6, -3), (-4, -3), (-3, -3), (-2, -3), (0, 0)}.
A set of ordered pairs represents a function if each unique input (x-value) is associated with only one output (y-value).
{(-4, -3), (-2, -1), (-2, 0), (0, -2), (0, 2)}
In this set, both (-2, -1) and (-2, 0) have the same x-value but different y-values. Therefore, this set does not represent a function.
{(-5, -5), (-5, -4), (-5, -3), (-5, -2), (-3,0)}
In this set, all the ordered pairs have the same x-value (-5). Since (-5, -5), (-5, -4), (-5, -3), and (-5, -2) have the same x-value but different y-values, this set does not represent a function.
{(-4, -5), (-4, 0), (-3, -4), (0, -3), (3, -2)}
In this set, (-4, -5) and (-4, 0) have the same x-value but different y-values. Therefore, this set does not represent a function.
{(-6, -3), (-4, -3), (-3, -3), (-2, -3), (0, 0)}
In this set, each unique x-value is associated with a single y-value. There are no repeated x-values. Therefore, this set represents a function.
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2
Let g(x) = x + 4x-7.
What is g(x) in graphing form?
(x + 2) - 7 = 4
O g(x) = (x + 2)²-7
Onone of the answer choices
x² + 4x-7=0
O g(x) = (x + 2)² - 11
The graphing form of the function g(x) is: C) none of the answer choices.
The function g(x) = \(x^2 + 4x - 7\)is already in the standard form of a quadratic equation. In graphing form, a quadratic equation can be represented as y =\(ax^2 + bx + c,\) where a, b, and c are constants.
Comparing the given function g(x) =\(x^2 + 4x - 7\)with the standard form, we can identify the coefficients:
a = 1 (coefficient of x^2)
b = 4 (coefficient of x)
c = -7 (constant term)
Therefore, the graphing form of the function g(x) is:
C) none of the answer choices
None of the given answer choices (A, B, D, or E) accurately represents the graphing form of the function g(x) =\(x^2 + 4x - 7\). The function is already in the correct form, and there is no equivalent transformation provided in the answer choices. The given options either represent different equations or incorrect transformations of the original function.
In graphing form, the equation y = \(x^2 + 4x - 7\) represents a parabolic curve. The coefficient a determines the concavity of the curve, where a positive value (in this case, 1) indicates an upward-opening parabola.
The coefficients b and c affect the position of the vertex and the intercepts of the curve. To graph the function, one can plot points or use techniques such as completing the square or the quadratic formula to find the vertex and intercepts. Option C
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A new cylindrical can with a diameter of 4cm is being designed by a local company. The surface area of the can is 140 square centimeters. What is the height of the can? Estimate using 3.14 for pi and round to the nearest hundredth. Apply the formula for the surface area of a cylinder SA=2B+Ph
The height of the can of cylinder shape is 9.14 cm.
What is a cylinder?
In mathematics, a cylinder is a three-dimensional solid that maintains two parallel bases separated by a curved surface at a specific distance. These bases frequently have a circular shape (like a circle), and an axis connects their respective centres.
We are given the diameter as 4 cm.
So, the radius is 2cm.
Also, it is given that the surface area of the can is 140 square centimeters.
So, using the surface area of cylinder, we get
⇒Area = 2πr (h + r)
⇒140 = 2π * 2 (h + 2)
⇒140 = 4π (h + 2)
⇒140 = 4 * 3.14 * (h + 2)
⇒140 = 12.56 * (h + 2)
⇒11.14 = h + 2
⇒h = 9.14
Hence, the height of the can of cylinder shape is 9.14 cm.
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Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. You have a credit card with a balance of $754.43 at a 13.6% APR. You have $300.00 available each month to save or pay down your debts. a. How many months will it take to pay off the credit card if you only put half of the available money toward the credit card each month and make the payments at the beginning of the month? b. How many months will it take to pay off the credit card if you put all of the available money toward the credit card each month and make the payments at the beginning of the month? Be sure to include in your response: • the answer to the original question • the mathematical steps for solving the problem demonstrating mathematical reasoning
a. It will take 7 months to pay off the credit card.
b. it will take 4 months to pay off the credit card.
Since, APR stands for Annual Percentage Rate. It is the interest rate charged on a loan or credit card, expressed as a yearly percentage rate. The APR takes into account not only the interest rate, but also any fees or charges associated with the loan or credit card.
a. If you put half of the available money each month toward the credit card, then you are paying $150.00 per month towards the credit card balance.
We can use the formula for the present value of an annuity to find how many months it will take to pay off the credit card:
PV = PMT × ((1 - (1 + r)⁻ⁿ) / r)
where:
PV is the present value of the debt
PMT is the payment amount per period
r is the monthly interest rate
n is the number of periods
Substituting the values, we get:
754.43 = 150 × ((1 - (1 + 0.011333)⁻ⁿ) / 0.011333)
Simplifying and solving for n, we get:
n = log(1 + (PV ×r / PMT)) / log(1 + r)
n = log(1 + (754.43×0.011333 / 150)) / log(1 + 0.011333)
n = 6.18
Therefore, it will take 7 months to pay off the credit card if you put half of the available money each month toward the credit card.
b. If you put all of the available money each month toward the credit card, then you are paying $300.00 per month towards the credit card balance.
754.43 = 300 ×((1 - (1 + 0.011333)⁻ⁿ) / 0.011333)
Simplifying and solving for n, we get:
n = log(1 + (PV × r / PMT)) / log(1 + r)
n = log(1 + (754.43× 0.011333 / 300)) / log(1 + 0.011333)
n = 3.43
Therefore, it will take 4 months to pay off the credit card if you put all of the available money each month toward the credit card.
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what is the equation of the quadratic function with 1 and -1 as zeros, and passing through (2,3)?
The quadratic function with 1 and -1 as zeros is y = (x - 1)(x + 1)
What is a quadratic function?A quadratic function is a mathematical expression in which the highest power of the unknown is 2.
How to find the given quadratic function?Since a quadratic function can be expressed as y = a(x - h)(x - k) (1) where a is an integer and h and k are roots of the quadratic function.
Now, the given quadratic function has 1 and -1 as zeros, and passing through (2,3).
So, its factors are
x = 1 ⇒ (x - 1) and x = -1 ⇒ (x + 1)So, writing the quadratic function in the form of equation (1) above, we have
y = a(x - 1)(x + 1)
To find the value of a, it is given that the quadratic function passes through the point (2, 3)
So, substituting the values of the variables into the equation, we have
y = a(x - 1)(x + 1)
3 = a(2 - 1)(2 + 1)
3 = a(1)(3)
3 = 3a
a = 3/3
a = 1
So, y = (x - 1)(x + 1)
So, the quadratic function is y = (x - 1)(x + 1)
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A typical tip in a restaurant is 15% of the total bill.if the bill is 60$ what would the typical tip be
Answer:
60(.15)= 9
answer is 9
Step-by-step explanation:
Answer:
Step-by-step explanation:
Please help! What is the surface area of the cylinder with height 4 m and radius 8 m? Round your answer to the nearest thousandth.
Make sure to round please.
The surface area of the cylinder is 948m²
What is surface area of cylinder?The area occupied by a three-dimensional object by its outer surface is called the surface area. The surface of a cylinder is expressed as ;
SA = 2πr(r+h)
Where r is the radius of the base and h is the height of the cylinder.
r =8m
h = 4m
SA = 2 × 3.14 × 8 (8+4)
SA = 78.96 × 12
SA = 947.52 m²
to the nearest whole number
SA = 948 m²
therefore the surface area of the cylinder is 948 m²
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a bank tellers hourly wage will increase from $24 to $27.60. what percent increase does this represent?a stereo is marked down $105. if this is a 25% decrease, find the original price?
Answer:
i know
Step-by-step explanation:
but I don't have pen
Answer:
15$
Step-by-step explanation:
24.00 increased by 15% is 27.60
the increase is 3.60
so the answer is 15%
find the derivative
f (x ) = (x-5)^2 (3-x)^2
Given:
The function is
\(f(x)=(x-5)^2(3-x)^2\)
To find:
The derivative of the given function.
Solution:
Chain rule of differentiation:
\([f(g(x))]'=f'(g(x))g'(x)\)
Product rule of differentiation:
\([f(x)g(x)]'=f(x)g'(x)+g(x)f'(x)\)
We have,
\(f(x)=(x-5)^2(3-x)^2\)
Differentiate with respect to x.
\(f'(x)=(x-5)^2\dfrac{d}{dx}(3-x)^2+(3-x)^2\dfrac{d}{dx}(x-5)^2\)
\(f'(x)=(x-5)^2[2(3-x)(0-1)]+(3-x)^2[2(x-5)(1-0)]\)
\(f'(x)=(x^2-10x+25)(-6+2x)+(9-6x+x^2)(2x-10)\)
\(f'(x)=(x^2)(-6)+(-10x)(-6)+(25)(-6)+(x^2)(2x)-10x(2x)+25(2x)+(9)(2x)+(-6x)(2x)+x^2(2x)+9(-10)+(-6x)(-10)+x^2(-10)\)
On further simplification, we get
\(f'(x)=-6x^2+60x-150+2x^3-20x^2+50x+18x-12x^2+2x^3-90+60x-10x^2\)
\(f'(x)=(2x^3+2x^3)+(-6x^2-20x^2-12x^2-10x^2)+(60x+50x+18x+60x)+(-90-150)\)
\(f'(x)=4x^3-48x^2+188x-240\)
Therefore, the derivative of the given function is \(f'(x)=4x^3-48x^2+188x-240\).
the line through (5, 7) and (5,-8)
Answer:
x=5
Step-by-step explanation:
since both of these have an x value of 5 this is an undefined slope so it is an x= equation
And x=5
Hopes this helps please mark brainliest
Simplify -3(9+2z).Simplify this expression and I will give you virtual points.
Answer:
-27 -6z
Step-by-step explanation:
"Simplify" in this context means "eliminate parentheses." You do that by making use of the distributive property. The factor -3 outside the parentheses multiplies each term inside parentheses.
-3(9 +2z)
= -3(9) +(-3)(2z)
= -27 -6z
Hey there!
-3(9 + 2z)
= -3(9) - 3(2z)
= -27 - 6z
= -6z - 27
Therefore, your answer is: -6z - 27
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
The radius of a circle measures 8 yd. What is the circumference of the circle? Use 3.14 for pi, and do NOT round your answer. Be sure to include the correct unit in your answer.
Answer:
The answer is
50.24 ydStep-by-step explanation:
Circumference of a circle = 2πr
where
r is the radius
From the question
r = 8 yd
π = 3.14
Substitute the values into the above formula and solve
Circumference = 2(8)(3.14)
We have the final answer as
50.24 ydHope this helps you
Laurie, who is 5 feet tall, notices that she casts an 8-foot shadow. If Laurie is standing 90 feet away from the base of a building, what is the height of the building? Show your work.
The height of the building that cast the shadow 98 feet will be 61.25 feet.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.
The ratio of the matching sides will remain constant if two triangles are comparable to one another.
Laurie, who is 5 feet tall, notices that she casts an 8-foot shadow. If Laurie is standing 90 feet away from the base of a building.
Let 'h' be the height of the building. Then the equation is given as,
h / (90 + 8) = 5 / 8
h / 98 = 5 / 8
h = 98 x 5 / 8
h = 12.25 x 5
h = 61.25 feet
The height of the building that cast the shadow 98 feet will be 61.25 feet.
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a ball is kicked 26 m
ball starts at 26m
1st bounce = 13 m
2nd bounce = 6.5 m
3rd bounce = 3.25 m
4th bounce = 1.625 m
5th bounce = 0.8125 m
6th bounce = 0.40625 m
7th bounce = 0.203125 m
answer: 0.203125 meters
Can someone help me please? ASAP
Answer:
triangle XYZ is similar to triangle RPQ
scale factor = 2/5
Step-by-step explanation:
Angles X and R are given as congruent.
Angles Z and Q are right angles, so they are congruent.
Then, angles Y and P must be congruent.
The similarity statement is
triangle XYZ is similar to triangle RPQ
To find the scale factor, divide the length of a side of the image by the length of the corresponding side in the original.
10/25 = 2/5
The scale factor is 2/5.