Answer:
27 5/8
Step-by-step explanation:
12 5/8 + 2(7 1/2) = 12 5/8 + 15 = 27 5/8
The amount of space needed by John will be 27⁵/₈ inches.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that John must mount a box which is 12⁵/₈ inches wide. He wants to leave 7¹/₂ inches on each side of the box.
The amount of space needed by John will be calculated as below:-
E = 12⁵/₈ + 2(7¹/₂)
E = 12⁵/₈ + 15
E = 27⁵/₈ Inches
Hence, the amount of space needed by John will be 27⁵/₈ inches.
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14 Orange-U-happy is an orange-scenteldeaning produthal is manu- factured in disposable doth pads. Each box of 100 pads sonts $5 to man. ufacture. The fixed costs for Orange-1-Hapoy a $30,000. The research development group of the company has determined the demand func- tion to her = 5000 - 20.060, where p is the price for each box a. Write the expense cuation in terms of the demand, b. Expres the expense function in terms of the price 9 c. Write the revenue function in terms of price. p.
Answer:
Consider the following statements, Each box of 100 pads of an orange-u happy costs$5 to manufacturer. The variable costs for manufacturing q boxes at 100 pads will be V=5.4
Step-by-step explanation:
One zero of the polynomial function f(x) = x3 − x2 − 12x is x = 0. What are the zeros of the polynomial function?
Step-by-step explanation:
\Given :
x^{3} +x^{2} -20x
Solution:
x^{3} +x^{2} -20x
taking x common from the given polynomial
⇒x(x^{2} +x-20)=0
⇒x(x(x+5)-4(x+5))=0
⇒x(x+5)(x-4)=0
⇒ x=0 , x+5=0 , x-4=0
⇒x = 0 , x = -5 , x = 4
Answer:
0, x = 4, and x = -3.
Step-by-step explanation:
he zeros of the polynomial function f(x) = x3 − x2 − 12x are x = 0, x = 4, and x = -3. To find these, we can factor the polynomial and set each factor equal to zero. Since x = 0 is already given as a zero, we can factor out x from the polynomial to get f(x) = x(x^2 - x - 12) = x(x - 4)(x + 3) = 0. Thus, the other zeros are x = 4 and x = -3.
Hello, can someone help me with this please, I have to watch the video and then answer the questions below.
1. How can having children act out number operations stories help their conceptual understanding?
2. What are your thoughts about the way these teachers put the emphasis on helping children see change in terms of more or fewer/less rather than having them count on to find the exact total?
3. Several of the children in the video are English Language Learners; what evidence do you see that they understand the Big Ideas though they don't articulate them in words?
Can anyone help me solve this problem?
Given
[tex] \text{Base = 4} \\ \text{Perpendicular= 8}[/tex]
To Find
Hypotenuse of the triangle.
Assuming,
[tex] \text{Perpendicular = ‘a’}[/tex]
[tex] \text{Base = ‘b’}[/tex]
[tex] \text{Hypotenuse= ‘c’}[/tex]
Solution[tex] \text{(c)² = (a)² + (b)²} \\ \\ \implies \text{ (c)² = (8)² + (4)²} \\ \\ \implies \text{(c)}^{2} = 64 + 16 \\ \\ \implies \text{(c)}^{2} = 80 \\ \\ \implies \text{(c)} = \sqrt{80} \\ \\ \implies\text{(c)} = 8.94[/tex]
[tex]\text{Rounding it to the nearest tenth = 8.9}[/tex]
[tex]\therefore \text{Hypotenuse of the triangle = 8.9}[/tex]
Option D= 8.9 units is the correct answer
Hope this helps!!Jaya has a piece of paper that is 16 inches long and 9 inches wide. She cuts it into pieces that are each 3 inches long and 2 inches wide What is the greatest number of 3-inch-by-2-inch pieces that Jaya can get? Enter the answer in the box.
Answer:
24
Step-by-step explanation:
Jayla has a couple of options for cutting her original piece of paper.
she can cut the 3 inch length from the long dimension of the paper, giving her 5 strips from the length and 4 strips from the width for a total of 20 3×2 piecesshe can cut the 3 inch length from the short dimension of the paper, giving her 3 strips from the 9-inch width, and 8 strips from the 16-inch length, for a total of 3×8 = 24 pieces.The greatest number of 3×2 pieces Jayla can cut is 24.
__
The attachments show the different cuts as described above.
Pls Help me with this!!!
Question:
A regular triangular pyramid has a base and lateral faces that are congruent equilateral triangles. It has a lateral surface area of 81 square feet. What is the surface area of the regular triangular pyramid?
Answer:
The surface area of the regular triangular pyramid is 108 square centimetres.
Step-by-step explanation:
What is a regular triangular pyramid?
A triangular pyramid is a three-dimensional shape that has a triangular base and three triangular faces.
The lateral surface area is the area of all the sides of a 3-dimensional object excluding its base and top.
The surface area of a triangular pyramid is the sum of the areas of the four faces of the pyramid.
What is the surface area?
The area of one face = lateral surface area / 3
81 / 3 = 27
The surface area = 27 x 4 = 108
Angle measurement is 119 what’s the supplement
Answer:
61 Degree Angle
Step-by-step explanation:
Supplementary angles are two angles that add up to 180 degrees. So in this case, 119 + 61 = 180.
What is the y-valye in the solution to this system of linear equations 4x+5y=-12 ; -2x+3y=-16
Answer:
4x+5y=-12
-2x+3y=-16 ×2
-----------------
eliminate x
4x+5y=-12
-4x+6y=-32
---------------+
11y=-44
y=-44/11
y=-4
y=-4 --->
-2x+3(-4)=-16
-2x-12=-16
-2x=-4
x=-4/-2
x=2
Segment AB has point A located at (4,2). If the distance from A to B is 3 units, which of the following could be used to calculate the coordinates for point B?
3 = √(x - 2)²+(y - 4)^2
3= V(x-4)2 +(y-2)^2
3 = V(x + 2)2 + (y+4)^2
3=(x+4)^2+(y+2)^2
The equation to calculate the coordinates of point B is (b) 3 = √(x - 4)²+(y - 2)²
How to determine the equation?The given parameters are:
A = (4,2)
AB = 3
The distance formula is:
AB = √(x - x1)²+(y - y1)²
So, we have:
3 = √(x - 4)²+(y - 2)²
Hence, the equation to calculate the coordinates of point B is (b) 3 = √(x - 4)²+(y - 2)²
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Standard KY Updated Fall 2021
English
Which functions have a y-intercept that is greater than the y-intercept of the function g(x) = |x + 3] + 4? Check three
options.
2 f(x) = -2 (x - 8)2
O h(x) = -5 |xl + 10
Oj(x) = -4(× + 2)2 + 8
O K0) = }0x-412+4
O m(x) = =Ix-8| +6
[tex]f(t) = (t-s)² - q 9
(4-5)² = 9 = 0
(t - 5) ^ 2 = 9
t - 5 = 3or 4-5=-3
(x + 2)(x + 4) = 0
X+26
t=8 or t= 2
f(x) = (x + 2)(x + 4)
vertex: (5,-9) # 1rt = 5
Zeros
y = f(+)
vertex
• line of symmetry[/tex]
Using it's concept, it is found that the functions that have a greater y-intercept than g(x) = |x + 3| + 4 are given as follows:
h(x) = -5|x| + 10.k(x) = 0.25(x - 4)² + 4.m(x) = 0.25|x - 8| + 6.What is the y-intercept of a function?It is the value of the function when the input is of zero, that is, f(0). An intercept of a rational function is a point where the graph of the rational function intersects the x- or y-axis.
here, we have,
For g(x) = |x + 3| + 4, we have that g(0) = 7. As for the other functions, we have that:
f(x) = -2(x - 8)² -> f(0) = -128.
h(x) = -5|x| + 10 -> f(0) = 10 -> Greater than g(x).
j(x) = -4(x + 2)² + 8 = f(0) = -8.
k(x) = 0.25(x - 4)² + 4 -> f(0) = 8 -> Greater than g(x).
m(x) = 0.25|x - 8| + 6 -> f(0) = 8 -> Greater than g(x).
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A circle has a circumference of 6. It has an arc of length 1.
What is the central angle of the arc, in degrees?
========================================================
Explanation:
The circumference is the perimeter of the circle. It's the distance around the circle's edge. Think of it like a fence.
The full circle's perimeter is 6 units. The arc length is a piece of that and it's 1 unit.
1/6 of the full perimeter is the arc length
1/6 of a full 360 degree rotation is (1/6)*360 = 360/6 = 60
The central angle of the arc is 60 degrees.
------------
If you want to use a formula, it would be
[tex]A = \frac{L}{C}*360[/tex]
where,
A = central angle of the arc
L = arc length
C = circumference
You would plug in L = 1 and C = 6 to find that A = 60
Which equation is y = –6x2 + 3x + 2 rewritten in vertex form?
y = negative 6 (x minus 1) squared + 8
y = negative 6 (x + one-fourth) squared + thirteen-eighths
y = negative 6 (x minus one-fourth) squared + nineteen-eighths
y = negative 6 (x minus one-half) squared + seven-halves
Answer:
Step-by-step explanation:
y = negative 6 (x minus one-fourth) squared + nineteen-eighths
Step-by-step explanation:
y = –6x^2 + 3x + 2
Divide the first 2 terms of the right side by -6:
y = -6(x^2 - 1/2x) + 2
Now complete the square on the expression in the brackets:
y = -6[(x - 1/4)^2 - 1/16] + 2
y = -6(x - 1/4)^2 + 6/16 + 2
y = -6(x - 1/4)^2 + 38/16
y = -6(x - 1/4)^2 + 19/8
Answer: C
Step-by-step explanation:
The pie below is cut into 9 equal slices. Shade 1/3 of this pie.
Answer:
shade 3 slices
Step-by-step explanation:
9*1/3=3
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER. Find the value of the variable in the figure. The diagram is not a scale.
Volume=30pi
X=___
Answer:
3
Step-by-step explanation:
Volume of a cone
V = pi x r^2 x h/3
So plug in the values we have
30pi = pi x r^2 x 10/3
30 = r^2 10/3
9 = r^2
3 = r
What is the mode of this data set?
{2, 2, 3, 3, 4, 4, 4, 4}
Enter your answer in the box
PLEASE HELP!
solve for x,
3(x – 4) ≥ 5x + 2
[tex]\Large\textsc{answer :}[/tex]
x≤-7
[tex]\Large\textsc{calculations :}[/tex]
First , use the distributive property :
3(x-4)≥5x+2
3x-12≥5x+2
Subtract 5x on both sides :
3x-5x-12≥2
Now , add 12 on both sides :
3x-5x≥2+12
3x-5x≥14
Subtract the x's :
-2x≥14
Divide by -2 on both sides and watch what happens :
x≤-7 (notice that the inequality sign changed from "greater than or equal to" to "less than or equal to")
If we divide both sides of an inequality by a negative number , we change the inequality sign .
[tex]\footnotesize\textit{hope helpful~}[/tex]
Reina surveyed her friends, asking each of them, "How many times have you been to the amusement park?" The resulting data set has a distribution that can be described several ways. Select from the drop-down menus to correctly complete the statements about the distribution. The distribution can be described by its shape. If there are more lower values than higher values, the distribution is skewed Choose... . The distribution can be described by its center. If the distribution is not skewed left or right, the Choose... is an accurate measure of center. The distribution can be described by its spread. If the data set does not have an outlier, the Choose... is an accurate measure of spread.
Answer:
1. right, 2. median, 3. range or the IQR
Step-by-step explanation:
Answer:
For the answers, it would be: 1. right, 2. median, and 3. range or IQR.
The cost of 3 rackets and 2 squash balls is £26.57. The cost of 5 rackets and 7 squash balls is
The cost of 3 rackets and 2 squash balls is £26.57.
The cost of 5 rackets and 7 squash balls is £52.90.
Work out the cost of
a) a squash ball.
b) a racket
Taking into account the definition of a system of linear equations:
the cost of a squash ball and a racket are £2.35 and £7.29 respectively.the cost of 1 kg of radishes and 1 kg of carrots are £3.1 and £1.6 respectively.System of linear equationsA system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.
Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied. That is to say, the values of the unknowns must be sought, with which when replacing, they must give the solution proposed in both equations.
Cost of a squash ball and a racketIn this case, a system of linear equations must be proposed taking into account that:
"x" represents the cost of a squash ball."y" represents the cost of a racket.The cost of 3 rackets and 2 squash balls is £26.57.
The cost of 5 rackets and 7 squash balls is £52.90.
So, the system of equations to be solved is
[tex]\left \{ {{2x+3y=26.57} \atop {7x+5y=52.90}} \right.[/tex]
There are several methods to solve a system of equations, it is decided to solve it using the substitution method, which consists of clearing one of the two variables in one of the equations of the system and substituting its value in the other equation.
In this case, isolating the variable x from the first equation:
[tex]x=\frac{26.57 - 3y}{2}[/tex]
Substituting the expression in the second you get:
[tex]7\frac{26.57 - 3y}{2}+5y=52.90[/tex]
Solving:
[tex]\frac{7}{2}(26.57 - 3y)+5y=52.90[/tex]
[tex]\frac{7}{2}x26.57 - \frac{7}{2}x3y+5y=52.90[/tex]
92.995 - 10.5y +5y= 52.90
92.995 - 5.5y= 52.90
- 5.5y= 52.90 -92.995
- 5.5y= -40.095
y= (-40.095)÷ (-5.5)
y= 7.29
So: [tex]x=\frac{26.57 - 3y}{2}=\frac{26.57 - 3x7.29}{2}[/tex]
x= 2.35
Finally, the cost of a squash ball and a racket are £2.35 and £7.29 respectively.
Cost of 1 kg of radishes and 1 kg of carrotsIn this case, a system of linear equations must be proposed taking into account that:
"x" represents the cost of 1 kg of radishes."y" represents the cost of 1 kg of carrots.The cost of 4 kg of radishes and 1.5 kg of carrots is £14.80.
The cost of 3 kg of radishes and 2 kg of carrots is £12.50.
So, the system of equations to be solved is
[tex]\left \{ {{4x+1.5y=14.80} \atop {3x+2y=12.50}} \right.[/tex]
You can solve this system using the substitution method. Isolating the variable x from the first equation:
[tex]x=\frac{14.80 - 1.5y}{4}[/tex]
Substituting the expression in the second you get:
[tex]3\frac{14.80 - 1.5y}{4}+2y=12.50[/tex]
Solving:
[tex]\frac{3}{4}(14.80 - 1.5y)+2y=12.50[/tex]
[tex]\frac{3}{4}x14.80 - \frac{3}{4}x1.5y+2y=12.50[/tex]
11.1 - 1.125y +2y= 12.50
- 1.125y +2y= 12.50 - 11.1
0.875y= 1.4
y= 1.4 ÷0.875
y=1.6
So: [tex]x=\frac{14.80 - 1.5y}{4}=\frac{14.80 - 1.5x1.6}{4}[/tex]
x= 3.1
Finally, the cost of 1 kg of radishes and 1 kg of carrots are £3.1 and £1.6 respectively.
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Maya invests $6,000 into an ETF which earns 3% per year. In 30 years, how much will Maya's investment be worth if interestis compounded semiannually (twice a year)?
Pls pls pls help me with this
Answer:
1.) 700 centimeters
2.) 8000 meters
3.) 650 millimeters
4.) 200 centimeters
5.) 7000 meters
6.) 800 centimeters
7.) Just multiply each number by 1000
8.) multiply each by 100
Step-by-step explanation:
(sqrt3-sqrt3i)^4
(-1+sqrt3i)^12
(sqrt 3-i)^6
(sqrt2-sqrt2i)^8
(sqrt2-i)^6Simplify the complex numbers and arrange them in increasing order of their absolute value (modulus).
The increasing order of the complex numbers is (√2 - i)⁶ < (√2 - √2i)⁸ = (√3 - i)⁶ = (-1 + √3i)¹² < (√3 - √3i)⁴.
Absolute values of the complex numbersThe absolute values of the complex numbers are determined as follows;
(sqrt3-sqrt3i)^4 = (√3 - √3i)⁴
[tex]|z| = \sqrt{(\sqrt{3} )^2 + (\sqrt{3 }\times1 )^2} } \\\\|z| = \sqrt{6}[/tex]
(-1+sqrt3i)^12 = (-1 + √3i)¹²
[tex]|z| = \sqrt{(-1)^2 + (\sqrt{3)^2} } \\\\|z| = \sqrt{4} \\\\|z| = 2[/tex]
(sqrt 3-i)^6 = (√3 - i)⁶
[tex]|z| = \sqrt{(\sqrt{3})^2 + (-1)^2 } \\\\|z| = \sqrt{4} \\\\|z| = 2[/tex]
(sqrt2-sqrt2i)^8 = (√2 - √2i)⁸
[tex]|z| = \sqrt{(\sqrt{2} )^2 + (\sqrt{2})^2 } \\\\|z| = 2[/tex]
(sqrt2-i)^6 = (√2 - i)⁶
[tex]|z| = \sqrt{(\sqrt{2})^2 + (-1)^2} } \\\\|z| = \sqrt{3}[/tex]
Increasing order of the complex numbers;
(√2 - i)⁶ < (√2 - √2i)⁸ = (√3 - i)⁶ = (-1 + √3i)¹² < (√3 - √3i)⁴.
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Answer:
see screenshot below
Step-by-step explanation:
correct on edmentum
Which point on the number line could represent Negative 2 and one-fourth? A number line going from negative 5 to positive 5. Point A is between negative 4 and negative 3, point B is between negative 3 and negative 2, point C is between negative 2 and negative 1, point D is between negative 1 and 0. A B C Dm
Answer:
Point B
Step-by-step explanation:
Let's take your number line from -5 to +5
The point on the number line is -2 1/4
Point A is between -4 and -3, Point B is between -3 and -2, Point C is between -2 and -1, and Point D is between -1 and 0. Because -2 is not between -4 and -3 or -1 and 0, it has to be either Point B or C. Since -2 has a fraction of 1/4, it is between Point B. It would be Point C if it was -1 1/4 and not -2 1/4. Let me show you on the number line (It is not to scale, sorry haha)
<--------------------------0---------------------------->
-5 -4 -3 -2 -1 1 2 3 4 5
| | | |
A B C D
-3 > -2 1/4 > -2
Answer:
B
Step-by-step explanation:
I took the test
Write an equation for a line that passes
through the point (0, 4) and (1,6).
Answer:
y=2x+4
Step-by-step explanation:
Find the value of the missing angle in this triangle show work on how you found the answer.
Bert is making a bracelet with green and blue beads. He uses green beads for the first 6
centimeters. Now, he wants to add blue beads to the bracelet so the total length is 20
centimeters. If each blue bead has a width of 7 millimeters, how many blue beads will he use
to finish the bracelet?
how to solve 2x^2+5-12=0 by factoring with detail, please!!!!!!
Answer:
[tex]x = \dfrac 32, ~ x = -4[/tex]
Step by step explanation:
[tex]~~~~~~~2x^2+5x-12=0\\\\\implies 2x^2 +8x-3x-12=0\\\\\implies 2x(x+4) -3(x+4) = 0\\\\\implies (2x-3)(x+4) = 0\\\\\implies 2x -3 = 0~~~~ \text{or}~~~~~~~~ x +4 = 0\\\\\implies 2x = 3~~~~~~~~~ \text{or}~~~~~~~~x = - 4\\\\\implies x = \dfrac 32~~~~~~~~~~ \text{or}~~~~~~~~x = - 4\\\\\text{Hence,}~ x = \dfrac 32, ~ x = -4[/tex]
What is the linear equation of the horizontal line that passes through the point (–3, 4)?show your work
giving brainliest!
if the ordered pair (x,y) is (-3, 4), then the othre ordered pair would (0,0)
Then, you find the slope(m).
So, m = y2 - y1
x2 - x1
if y2 is 4 and y1 is 0
x2 is -3 and y1 is 0
now you subtract to get -4
3
So, m= -4
3
Then, find the y-intercept
So, y=mx+b and substitute the ordered pair (0,0) into y= mx+b
y=mx+ b
0= -4(0) +b
3
0=0+b
-0 -0
b=0
So the equation is y= -4x
3
Seven decreased by four times a number what is the answer
Answer:
7-4g
Step-by-step explanation:
let the number =g
four times the number = 4×g = 4g
seven decreased br four times the number= 7- 4g
therefore, the answer = 7-4g
Which graph shows a proportional relationship between x and y?
A)
B)
C)
D)
Answer:
C
Step-by-step explanation:
If the graph of a relationship is a line or a ray through the origin, then it is proportional.
The line in graph C goes through the origin (0,0)
NO LINKS!!
Mr. Magoo is forgetful and frequently leaves the lights on his car. There is a 40% probability he will leave his on any randomly selected day. There are 5 days in a normal school week. NO MULTIPLE CHOICE!
a. Find the probability he leaves his lights on all 5 days this week.
b. Find the probability he remembers to turn his lights off all 5 days this week.
c. Find the probability Mr. Magoo leaves his lights on at least one day this week.
a. (40%^5)=0.4^5=0.01024, which is 1.024%
b. the probability that he turns is light off is the probability that he doesn't turn his light on, which is 1-0.4=0.6.
0.6^5=0.07776, or 7.776%
c. 1-0.07776=0.92224, or 92.224%
Answer:
a. 40% = 0.4 → (0.4)⁵ = 0.01024.. ≈ 1.02%.
b. (1 - 0.4) → (0.6)⁵ = 0.07776.. ≈ 7.78%
c. (0.4)¹ → 0.4 = 40%
Explanation:
decimal × 100% = percent.
Since these independent events either occur or do not occur, we can use binomial distribution to determine the theoretical probability of either outcome with a given number of successes or failures (total - successes) or by probability → 1 - success probability = failure probability.
Since the problem is either looking for all or none, we can narrow n! / (n - x)!x! p^x q^n-x down to (probability)^(days). All the rest cancels out.
