Considering the provided information in the given question we have,
A gift box is in the shape of a cube.Length of each edge = 4.5 inWe need to find the volume of the gift box. Since it is in the shape of a cube, we wee need to apply the formula of the volume of a cube. We know that,
→ Volume of cube = l × l × l
→ Volume of cube = 4.5 in × 4.5 in × 4.5 in
→ Volume of cube = \( \sf 91.125 \: in^3 \)
Therefore, volume of the gift box is \( \bf 91.125 \: in^3 \).
Find two consecutive whole numbers that 68 lies between.
uhm, 67 and uknown number lol.
A bag of baseballs costs $12. There are 15 balls in the bag. Another bag of baseballs costs $15 for 20 balls. Which bag prices individual baseballs lower?
Answer:
Step-by-step explanation:
For the first bag:
Price of the bag = $12
Number of balls in the bag = 15
Price per ball = Price of the bag / Number of balls
Price per ball for the first bag = $12 / 15 = $0.8
For the second bag:
Price of the bag = $15
Number of balls in the bag = 20
Price per ball = Price of the bag / Number of balls
Price per ball for the second bag = $15 / 20 = $0.75
Comparing the prices per ball, we find that the second bag has a lower price per baseball. Therefore, the second bag offers a better price for individual baseballs compared to the first bag.
Answer:
Step-by-step explanation:
To find out which bag prices individual baseballs lower, we can divide the total cost of each bag by the number of balls in the bag. This will give us the price per ball for each bag.
For the first bag, the price per ball is $12 / 15 = $0.80.
For the second bag, the price per ball is $15 / 20 = $0.75.
Therefore, the second bag prices individual baseballs lower.
The cost of breakfast cereal is R36 for 1kg.caculate how much 5kg of breakfast cereal will cost
Answer:
180
Step-by-step explanation:
5*36=180
The new weight loss supplement was less effective on.? In the study because only. % of them lost weight after two weeks, whereas. % of the? Lost weight weeks.
How do you figure out this answer.
Answer:
Qhahhhhahahahaaahha
How to find the range of data. 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26
Answer:
22
Step-by-step explanation:
To find the rage, you subtract the smallest number from the largest number in the set of numbers.
So...
26 - 4 = 22
Rewrite the function f(x) =-4(x+3)2-2 in the form f(x) = ax?+bx+c.
| f(x) = 1
Х
X
?
Answer:
Step-by-step explanation:
https://www.alvinisd.net/cms/lib/TX01001897/Centricity/Domain/436/Math%201314.61%20Quiz%20Solutions.pdf it will give u the answer trust me
What is the slope of the line that goes through the points (-4, 5) and (6, 2)?
-------------------------------------------------------------------------------------------------------------
Answer: \(\textsf{-3/10}\)
-------------------------------------------------------------------------------------------------------------
Given: \(\textsf{Points (-4, 5) and (6, 2)}\)
Find: \(\textsf{Slope of the line that goes between the points}\)
Solution: In order to determine the slope of a line we need to follow the slope formula to determine it. Just plug in the values and simplify.
Plug in the values
\(m = \frac{y_2 - y_1}{x_2 - x_1}\)\(m = \frac{2 - 5}{6 - (-4)}\)Simplify the expression
\(m = \frac{-3}{6 + 4}\)\(m = -\frac{3}{10}\)Using those two points we were able to determine that the slope of the line that goes through the points is -3/10.
You put $10,000 into a simple interest savings account. You really want to retire on this money. Your account has 8% interest for amounts $10,000 or more. It is simple interest. How much would you have in 50 years?
You will have $50,000 in your account after 50 years.
We have,
Simple interest formula is given by:
I = Prt
Where:
I = interest earned
P = principal amount (initial investment)
r = interest rate
t = time (in years)
Here,
P = $10,000
r = 8%
t = 50 years
So, the interest earned after 50 years will be:
I = Prt
= 10000 x 0.08 x 50
= $40,000
The total amount in the account after 50 years will be the initial investment plus the interest earned:
Total amount = $10,000 + $40,000 = $50,000
Therefore,
You will have $50,000 in your account after 50 years.
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Find the value of x.
68°
110°
135°
Answer:
47
Step-by-step explanation:
Answer:
hi, the answer is 47°
Step-by-step explanation:
68+135+110=313 360-313=47
Question below.
Please help!
Answer:
V^-3
Step-by-step explanation:
The answer is in the pic above
Answer:
\( {v}^{2} . {v}^{ - 6} .v\)
\( = {v}^{2} . \frac{1}{ {v}^{6} } .v\)
\( = \frac{ {v}^{3} }{ {v}^{6} } \)
\( = \frac{1}{ {v}^{3} } \)
the shortest side of a right triangle measures 7m. The lengths of the other two sides are Consecutive integers. What is the length of the other two sides?
The lengths of the other two sides of the right triangle are 24m and 25m, respectively.
Let's assume the consecutive integers representing the lengths of the other two sides of the right triangle are x and x + 1, where x is the smaller integer. We are given that the shortest side measures 7m. Now, we can use the Pythagorean theorem to solve for the lengths of the other two sides.
According to the Pythagorean theorem, in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.
Using this theorem, we have the equation:
\(7^2 + x^2 = (x + 1)^2\)
Expanding and simplifying this equation, we get:
\(49 + x^2 = x^2 + 2x + 1\)
Now, we can cancel out \(x^2\) from both sides of the equation:
49 = 2x + 1
Next, we can isolate 2x:
2x = 49 - 1
2x = 48
Dividing both sides by 2, we find:
x = 24
Therefore, the smaller integer representing the length of one side is 24, and the consecutive integer representing the length of the other side is 24 + 1 = 25.
Hence, the lengths of the other two sides of the right triangle are 24m and 25m, respectively.
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Solve the following problem by simplex and Graphic method Maximise Z = 30x1 + 40x2 Subject to, 60x1 + 120x2 < 12,000 8x1 + 5x2 < 600 3x1 + 4x2 < 500 X1, X2 > 0 >
The simplex method is used to solve the linear programming problem, providing an optimal solution of Z = 1200 with x1 = 40 and x2 = 0. The graphical method is not applicable due to the higher dimensions of the feasible region.
To solve the given linear programming problem using the simplex method, we need to convert it into standard form. Introduce slack variables to convert the inequality constraints into equality constraints. The standard form of the problem becomes:
Maximize Z = 30x1 + 40x2
Subject to:
60x1 + 120x2 + s1 = 12,000
8x1 + 5x2 + s2 = 600
3x1 + 4x2 + s3 = 500
x1, x2, s1, s2, s3 ≥ 0
Constructing the initial simplex tableau, we have the following coefficients:
┌───┬───┬───┬───┬───┬───┬────┐
│ x1 │ x2 │ s1 │ s2 │ s3 │ RHS │
├───┼───┼───┼───┼───┼───┼────┤
│ 60 │ 120 │ 1 │ 0 │ 0 │ 12k │
│ 8 │ 5 │ 0 │ 1 │ 0 │ 600 │
│ 3 │ 4 │ 0 │ 0 │ 1 │ 500 │
├───┼───┼───┼───┼───┼───┼────┤
│ -30 │ -40 │ 0 │ 0 │ 0 │ 0 │
└───┴───┴───┴───┴───┴───┴────┘
The pivot column is determined by the most negative value in the bottom row. In this case, the pivot column corresponds to x2. The pivot row is found by dividing the RHS column by the pivot column. The minimum ratio determines the pivot row, which is the third row (x2 = 4/5).
Performing the pivot operation, we get the following tableau:
┌───┬────┬──────┬─────┬─────┬───────┐
│ x1 │ x2 │ s1 │ s2 │ s3 │ RHS │
├───┼────┼──────┼─────┼─────┼───────┤
│ 45 │ 0 │ 1/5 │ -24 │ 0 │ 60k/5 │
│ 4 │ 1 │ -8/5 │ 1/5 │ 0 │ 120 │
│ 7 │ 0 │ 3/5 │ -16 │ 1 │ 280 │
├───┼────┼──────┼─────┼─────┼───────┤
│ 2 │ 0 │ 6/5 │ -4 │ 0 │ 24 │
└───┴────┴──────┴─────┴─────┴───────┘
The process continues until no negative values exist in the bottom row. The final tableau is:
┌────┬───┬─────┬─────┬────┬──────┐
│ x1 │ x2 │ s1 │ s2 │ s3 │ RHS │
├────┼───┼─────┼─────┼────┼──────┤
│ 5 │ 0 │ 0 │ -1 │ 2 │ 1000 │
│ 4 │ 1 │ 0 │ 1/5 │ 0 │ 120 │
│ 1 │ 0 │ 1/5 │ -4 │ 1 │ 80 │
├────┼───┼─────┼─────┼────┼──────┤
│ 2 │ 0 │ 0 │ -4 │ 6 │ 40 │
└────┴───┴─────┴─────┴────┴──────┘
The optimal solution is x1 = 40, x2 = 0, with Z = 40 * 30 = 1200.
By using the graphical method, we plot the feasible region formed by the intersection of the constraints. We then calculate the objective function at each corner of the feasible region to determine the maximum value of Z. However, since the feasible region has more than three dimensions, it cannot be directly visualized in two-dimensional space, making the graphical method impractical in this case.
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PLEASE SOLVE FOR 50 POINTS!!!!
3 answer :-
if the diameter=14cm
then radius =7cm
height=18.2cm
we know that
C. S. A=2πrh
=2×22/7×7×18.2
=36.4×22
the metal used for making can =796.4
hope this help you I apologize if the above answer is wrong
I am sorry but I know only one answer
Decide which of the two given prices is the better deal and explain why. You can fill a 12-gallon tank of gas for $39.43 or buy gas for $3.20/gallon.
Answer:
$3.20/gallon
Step-by-step explanation:
to fill up your tank at $3.20/gallon only costs $38.40
Use the distributive property to multiply (3w + 5)(–2w – 7).
-6w^2+31w+35
6w^2-21w-35
-6w^2-31w-35
6w^2-21w+30
Answer:
\(=-6w^2-31w-35\)
Step-by-step explanation:
Apply Foil.
\(\left(3w+5\right)\left(-2w-7\right)=3w\left(-2w\right)+3w\left(-7\right)+5\left(-2w\right)+5\left(-7\right)\)
\(=3w\left(-2w\right)+3w\left(-7\right)+5\left(-2w\right)+5\left(-7\right)\)
\(=-6w^2-31w-35\)
how do you find answer to 9/35 - 1/5?
Answer:
2/35
Step-by-step explanation:
\(\frac{9}{35}-\frac{1}{5}=\frac{9}{35}-\frac{7}{35}=\frac{2}{35}\)
Express the answers in simplest form. A list contains the names of six anthropology students, two sociology students, and four psychology professor's new study, find the probability that the chosen student (a) A psychology student (c) A psychology student or an anthropology (d) Not a sociology student.
a) P(psychology student) = 1/3. b) P(psychology or anthropology student) = 5/6. c) P(not sociology student)= 5/6
How to find the probability that the chosen student(a) The probability of choosing a psychology student is the number of psychology students divided by the total number of students:
P(psychology student) = 4/(6+2+4) = 4/12 = 1/3
(b) The probability of choosing a psychology student or an anthropology student is the sum of the number of psychology and anthropology students divided by the total number of students:
P(psychology or anthropology student) = (4+6)/(6+2+4) = 10/12 = 5/6
(c) The probability of not choosing a sociology student is the number of non-sociology students divided by the total number of students:
P(not sociology student) = (6+4)/(6+2+4) = 10/12 = 5/6
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HELP PLEASE!!
Quadrilateral CDEF is a rhombus. What is m
Answer:
∠ BDC = 29°
Step-by-step explanation:
the sides of a rhombus are congruent, so CD = ED and Δ EDC is therefore isosceles with base angles congruent , then
∠ BCD = ∠ BED = 61°
• the diagonals are perpendicular bisectors of each other , then
∠ CBD = 90°
the sum of the 3 angles in Δ BCD = 180°
∠ BDC + ∠ CBD + ∠ BCD = 180°
∠ BDC + 90° + 61° = 180°
∠ BDC + 151° = 180° ( subtract 151° from both sides )
∠ BDC = 29°
The base of a regular pyramid is a hexagon.
The figure shows a regular hexagon with center C. An apothem is shown as a dashed segment perpendicular to an edge and is labeled as a. A dashed line segment joins the center with the left vertex of the edge perpendicular to the apothem. This segment has a length of 8 centimeters. The angle formed by the edge and the segment measures 60 degrees.
What is the area of the base of the pyramid?
Enter your answer in the box. Express your answer in radical form.
Answer:
\(216\sqrt{3}\) \(cm^{2}\)
Step-by-step explanation:
Length of edge:
\(12\)
Length of apothem:
\(\frac{\sqrt{3}}{2}*12\)
\(6\sqrt{3}\)
3 × Length of edge × Length of apothem:
\(3*12*6\sqrt{3}\)
\(216\sqrt{3}\)
The answer is 96√3 cm²
Enter the exact values of the trigonometric ratios in the boxes.
sin 45°
cos 30
tan 60
=
The required value of trigonometric ratios is,
sin 45° = 1/\(\sqrt{2}\)
cos 30 = \(\sqrt{3}\)/2
tan 60 = 1/ √3
We know that,
Trigonometric ratios are based on the value of the ratio of sides of a right-angled triangle and contain the values of all trigonometric functions. The trigonometric ratios of a given acute angle are the ratios of the sides of a right-angled triangle with respect to that angle.
Therefore,
sin 45° = 1/\(\sqrt{2}\)
cos 30 = \(\sqrt{3}\)/2
tan 60 = 1/ √3
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Write an expression involving integers for each statement a) moving 4 steps left, then moving 9 steps right b) on 3 separate occasions, Shari lost 2 pencils can someone answer me in separate parts A and part B
Answer:
(a)\(-4+9\)
(b)\(-2 \times 3\)
Step-by-step explanation:
Part A
Moving 4 steps left, then moving 9 steps right
When you move left, we indicate with a negative sign while a move right is indicated with a positive sign.
Moving 4 steps left = -4
Moving 9 steps right = +9
Therefore, an expression for the statement is:\(-4+9\)
Part B
When you lose or owe in word problems, it is usually indicated using a negative sign.
Therefore, the statement Shari lost 2 pencils can be represented with the integer: -2
Since Shari lost 2 pencils on 3 occasions, we simply have:
\(-2 \times 3\)
One vertex of a triangle is located at (0, 5) on a coordinate grid. After a transformation, the vertex is located at (5, 0). Which transformations could have taken place? Select two options. R0, 90° R0, 180° R0, 270° R0, –90° R0, –180°
Answer:
The Transformations are R(O , -90°) & R(O , 270)
Step-by-step explanation:
* Lets revise the rotation of a point
- If point (x , y) rotated about the origin by angle 90° anti-clock wise
∴ Its image is (-y , x)
- If point (x , y) rotated about the origin by angle 90° clock wise
(270° anti-clockwise or -90°)
∴ Its image is (y , -x)
- If point (x , y) rotated about the origin by angle 180°
∴ Its image is (-x , -y)
* There is no difference between rotating 180° clockwise (-180°) or
anti-clockwise (180°) around the origin
* Lets solve the problem
∵ One vertex of a triangle is located at (0, 5) on a coordinate grid
∵ The image of the point after the transformation is (5 , 0)
- The coordinates are switched with each other
∴ There is no rotation with 180° or -180° because in the rotation with
180° and -180° around the origin we change only the signs of the
coordinates without switch them
∴ There is a rotation with 90° are 270° or -90°
- The zero has no sign
- When we rotate the point (0 , 5) by -90° or 270° around the origin
we will change the sign of x-coordinate and switch the two
coordinates
∴ The image of the point is (y , -x)
∵ x = 0 and y = 5
- There is no sign for zero, so we switch the coordinates only
∴ The vertex is located at (5, 0)
∴ The Transformations are R(O , -90°) & R(O , 270)
Answer:
R(O , -90°) & R(O , 270)
Step-by-step explanation:
using A=Pe^rt solve
A=1,240,000
r=8%
t=30 years
what is P?
Answer:
P= 112,490.26207887
P= 112,490 (it should be a whole number for oliy represents the number of humans)
Step-by-step explanation:
1,240,000 = P e^(0.08×30)
1,240,000 = P e^(0.08×30)
________ ____________
e^(0.08×30) e^(0.08×30)
P = 112,490.26207887
or
1,240,000 = P e^(0.08×30)
____________ ____________
11.0231763806 11.0231763806
P = 112,490.26207887
Students have been saving up for a trip to the mall. Jherica has $5.50 more than Erin, and Alexa has $10.00 less than Jherica. Together they have a total of $85.00. How much does each person have?
Answer:
Erin = x
Jherica = x + 5.50
Alexa = (x+5.50) - 10
After determining the following, you want to plug it into an equation.
So,
x + (x+5.50) + (x+5.50 - 10) = $85.00
Solve.
The graph below shows a line of best fit for data collected on the distance drivers traveled as a function of time. Which of the following is the equation of the line of best fit? A. B. C. D.
The equation for the line of best fit is given as follows:
y = 50x/3.
How to define a linear function?The slope-intercept equation for a linear function is presented as follows:
y = mx + b.
The parameters of the definition of the linear function are given as follows:
m represents the slope of the function, which is by how much the dependent variable y increases(positive) or decreases(negative) when the independent variable x is added by one.b represents the y-intercept of the function, representing the numeric value of the function when the input variable x has a value of 0. On the case of the graph, the intercept is given by the value of y at which the graph crosses or touches the y-axis.From the graph, when x = 0, y = 0, hence the intercept b is given as follows:
b = 0.
Hence:
y = mx.
When x = 3, y = 50, hence the slope m is given as follows:
3m = 50
m = 50/3.
Hence the equation is:
y = 50x/3.
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Is the test below left-, right-, or two-tailed? H0:p=0.39, Ha:p≠0.39 Select the correct answer below: The hypothesis test is two-tailed. The hypothesis test is left-tailed. The hypothesis test is right-tailed.
Answer:
The hypothesis test is a two-tail test
Step-by-step explanation:
The test hypothesis:
Null hypothesis H₀ p = 0,39 or p = p₀
Where p₀ is a nominal proportion (established proportion) and
Alternate hypothesis Hₐ p ≠ 0,39 or p ≠ p₀
Is a two-tail test, (≠) means different, we have to understand that different implies bigger and smaller than something.
For a test to be one tail-test, it is necessary an evaluation only in one sense in relation to the pattern ( in this case the proportion )
PLEASE HELP
The table of values represents an exponential function.
What is the y-coordinate of -3f(x-1) when x = 0
Enter your answer in the box.
SEE PHOTO
The y-coordinate of -3f(x-1) when x = 0 is -63
What is the y-coordinate of -3f(x-1) when x = 0From the question, we have the following parameters that can be used in our computation:
The table of values
So, we have
-3f(x - 1)
When x = 0, we have
y = -3f(0 - 1)
This gives
y = -3f(-1)
From the table, we have
y = -3 * 21
Evaluate
y = -63
Hence, the y-coordinate is -63
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The endpoints of a diameter of a circle are (2,4) and (−4,7).
What is the standard form of the equation of this circle?
Answer:
(x+1)²+(y-5.5)²=11.25
Step-by-step explanation:
1) the common view is:
(x-x₀)²+(y-y₀)²=r², where x₀, y₀ - coordinates of the centre, r - the length of the radius;
2) the coordinates of the centre can be calculated:
\(x_0=\frac{2-4}{2}=-1; \ y_0=\frac{4+7}{2}=5.5.\)
3) the length of the radius is:
\(r=\sqrt{(-1-2)^2+(5.5-4)^2}=\sqrt{11.25}.\)
4) if the centre is (-1;5.5) and r²=11.25, then it is possible to make up the required equation:
(x+1)²+(y-5.5)²=11.25
Answer:
The other answer is WRONG. INCORRECT. NON-RIGHT! My answer is correct, do NOT delete it. The correct answer is (x+1)^2 + (y-11/2)^2 = 45/4. This is how the system wants it! Want proof? I have this question and all others screenshoted for your convenience.
HERE IS PROOF YOU MORON WHO DELETED MY ANSWER
Three family members clean the bathrooms, wash the dishes, and do the laundry. If the
3 family members split up the time equally, how much time does each person spend doing
chores?
Answer:
1/3
Step-by-step explanation:
its 1/3 for every chore soooo 1/3 then 2/3 then 3/3
Help me plss I don’t understand Find K. Write your answer in simplest radical form.
Answer:
k = 36\(\sqrt{3}\)
Step-by-step explanation:
using the cosine ratio in the right triangle and the exact value
cos60° = \(\frac{1}{2}\) , then
cos60° = \(\frac{adjacent}{hypotenuse}\) = \(\frac{18\sqrt{3} }{k}\) = \(\frac{1}{2}\) ( cross- multiply )
k = 2 × 18\(\sqrt{3}\) = 36\(\sqrt{3}\)