Answer:
6
Step-by-step explanation:
G,C,P
C,P,G
P,G,C
G,P,C
P,C,G
C,G,P
The dimensions of a chocolate box are: height=x + 2 inches, length=2x+5 inches, and width=4x-1 inches. If the volume of the chocolate box is 605 cubic inches, what is the value of x?
I hope this helps you
Answer:
To begin to answer your question you would need to know that the formula for the volume of a rectangular prism is the following: [tex]V=lwh[/tex]. Now its just a manner of substitutions.
Step-by-step explanation:
[tex]V=605 \text{in}^3[/tex]
Then one can also state the following:
[tex]V=(x+2)(4x-1)(2x+5)[/tex]
Following up with this substitution:
[tex]605=(x+2)(4x-1)(2x+5)[/tex]
Proceeding with a FOIL procedure:
[tex]605=(4x^2+8x-x-2)(2x+5)[/tex]
[tex]605=8x^{3}+34x^{2}+31x-10[/tex]
[tex]0=8x^{3}+34x^{2}+31x-615[/tex]
Using PRZs:
[tex]PRZs=\frac{\text{Factors of Constant Term}}{\text{Factors of Highest Power}}=\frac{\pm 1,\pm 3, \pm 5, \pm 41, \pm 615}{\pm 1, \pm 2, \pm 4, \pm 8}[/tex]
By graphing it one can identify that 3 is a solution so plugging it in and using synthetic division.
[tex]\begin{array}{ccccc}3|& 8 & 34 & 31 & -615\\ \ \ |& & 24 & 174 & 615 \\ & 8 & 58 & 205 &0 \end{array}\\[/tex]
Giving the following the polynomial:
[tex]0=(x-3)(8x^2+58x+205)[/tex]
Now one can evaluate the discriminant of that quadratic:
[tex]58^2-4(8)(205)=-3196[/tex]
Because it is negative one knows that it produces imaginary solutions. Therefore the only real solution is [tex]x=3[/tex]. Therefore the dimension of the box is the following: [tex]5\text{in},11\text{in}, 11\text{in}[/tex]
ABC is a triangle. Angle A is 62°, correct to the nearest degree. Angle B is 53.4°, correct to the nearest tenth of a degree. (a) Write down the lower bound for angle B. (b) Calculate the upper bound for angle C.
Answer:
a) 53.35
b) 65.15
Step-by-step explanation:
Given triangle ABC.
Angle A = 62°(to the nearest degree)
Angle B = 53.4°(to tge the nearest tenth of a degree)
Since angle A is corrected to the nearest degree, let's assume original figure of angle A is between the range of 61.5 to 62.4
Thus, 61.5 ≤ 62.4
Similarly, angle B is corrected to the nearest tenth of a degree, let's assume original figure of angle B was between the range of 53.35 to 53.44
Thus, 53.35 ≤ 53.44
a) The lower bound for angle B = 53.35
b) To calculate the upper bound for angle C, let's add the lower bound figures of the range of angle A and B, then subtract from 180°.
180 - (61.5 + 53.35) = 65.15
The upper bound for Angle C is 65.15
An art teacher buys 9 bags of cotton balls. There are 68 cotton balls in each bag.
Which expression is best to estimate the number of cotton balls the teacher
buys?
9+70
9*60
9*70
9+60
Answer:
9*70
Step-by-step explanation:
It is not 9+70 or 9+60 because for this problem multiplication is required.
This problem seems to want you to round to the nearest ten's place. Because the one's place in 68 is above 5, the number will round up.
This means that the answer will be 9*70
Answer:
9*70
Step-by-step explanation:
Breakout room#5 code?
Answer:
what do you mean
Step-by-step explanation:
Answer:
G8YT85
Step-by-step explanation:
majorie bought a bed with a sticker price of 1800. if she paid $25 a week for two years, what was the approximate markup on the bed
Answer:
44.4% according to A P E X
Step-by-step explanation:
A P E X
Which statement is true about a line that contains the point ሺ2, 7ሻ and has a slope of 0.5?
A The line will also contain the point ሺ4, 6ሻ.
B The line will have a y-intercept of 6.
C The line will contain points whose y-coordinate will decrease in value as you move to the right
D none of the above
Answer:
I think it is C) The line will contain points whose y-coordinate will decrease in value as you move to the right
Step-by-step explanation:
HOPE THIS HELPS
Cross multiplication method, find the value z and y for 3x + 5y = 70 and 7x-3y =60
Answer:
Y=7.05
X= 11.6
Step-by-step explanation:
Equate both equations to zero
3x+5y=70--------equation 1
7x-3y=60---------equation 2
From the equation above
a1=3, b1=5, c1=-70
a2=7, b2= -3, c2=-60
By applying the cross multiplication method
x/b1c2-b2c1= y/a2c1-a1c2= 1/a1b2-a2b1
x/(5)(-60)-(-3)(-70)=y/(7)(-70)-(3)(-60)=1/(3)(-3)-(7)(5)
x/-300-(-210)=y/-490-(-180)=1/-9(-35)
x/-510=y/-310=1/-44
x/-510=1/-44 , y/-310=1/-44
-44x=-510 , -44y= -310
x=11.6 , y=7.05
Thus, the value of x is 11.6 and the value of y is 7.05
Determine the area of the composite figure to the nearest whole number. A) 132 ft2 Eliminate B) 176 ft2 C) 184 ft2 D) 216 ft2
Answer:
B) 176 ft²
Step-by-step explanation:
The picture below is the attachment for the complete question. The figure has 3 halves of a circle and a square . The area of the figure is the sum of their area.
Area of a square
area = L²
where
L = length
L = 9 ft
area = 9²
area = 81 ft²
Area of the 3 semi circles
area of a single semi circle = πr²/2
For 3 semi circle = πr²/2 + πr²/2 + πr²/2 or 3 (πr²/2)
r = 9/2 = 4.5
area of a single semi circle = (3.14 × 4.5²)/2
area of a single semi circle = (3.14 × 20.25 ) /2
area of a single semi circle = 63.585 /2
area of a single semi circle = 31.7925
Area for 3 semi circles = 31.7925 × 3 = 95.3775 ft²
Area of the composite figure = 95.3775 ft² + 81 ft² = 176.3775 ft
Area of the composite figure ≈ 176 ft²
You have $1000 to invest in an account and need to have $2000 in one year. What interest rate would you need to have in order to have this if the amount is compounded weekly? Round your answer to the nearest percent.
Answer:
69.8%
Step-by-step explanation:
The weekly interest rate is computed using 52 weeks a year as per standard investment practice.
FV=PV*(1+r/52)^n*52
FV is the future value of $2000
PV is the present worth of $1,000
r is the unknown
n is the number of years which is 1
2000=1000*(1+r/52)^1*52
divide both sides by 1000
2000/1000=(1+r/52)^52
divide the index of the both sides by 52
(2000/1000)^(1/52)=1+r/52
1.013418991 =1+r/52
r/52=1.013418991 -1
r/52=0.013418991
r=0.013418991 *52=69.8%
Answer:
4%
Step-by-step explanation:
not really sure if thats right but i hopes it helps
What is the volume of a box with a height of 3/2 inches, a length of 7/2 inches, and a width of 5/2 inches.
Answer:
13.125 cubic inches
Step-by-step explanation:
Volume of box is 3/2 X 7/2 X 5/2 = 105/8 = 13 1/8 = 13.125 cubic inches
Friends please help I don’t understand this!.
Answer:
I would say that it is 3/2
Step-by-step explanation:
Gale has 6 marbles. 2 of the marbles are red. The rest are blue. How many blue marbles does Gale have?
Answer:
Gale has 4 blue marbles
Step-by-step explanation:
6 marbles - 2 marbles = 4 marbles.
hope this helps :)
Answer:
4 marbles
Step-by-step explanation:
6 marbles total, take away 2, you have 4
Calculate the volume of the solid. Round answer to the nearest hundredth.
cot²A=(1-sin²A)cosec²A
Answer:
Step-by-step explanation:
Sadie uses 9.8 pints of blue paint and white paint to paint her bedroom walls. 1 4 of this amount is blue paint, and the rest is white paint. How many pints of white paint did she use to paint her bedroom walls?
Answer:
7.35 pints
Step-by-step explanation:
If we use 1/4 of the 9.8 pints for blue, then the remaining white paint takes up 3/4 of the 9.8 pints of paint. To find how many pints of paint is equal to 3/4 of it, you must multiply that fraction by the amount (9.8).
[tex]\frac{3}{4}[/tex] * 9.8 (or 0.75 * 9.8) = 7.35
Therefore, 7.35 pints of the total paint used is white.
Hope I helped! Please give me brainliest!
solution of 4y - 2x < 8
a. (0,2)
b. (-4,0)
c. (1,2)
d. (10,7)
Answer:
A
Step-by-step explanation:
Deposits into a bank account are represented by numbers. Withdrawals from the account are represented by negative numbers. Which amount represents a withdrawal of less than $ 200?
Answer:
The answer is (-$200) to the left
Step-by-step explanation:
Solution
It is assumed that when a number is positive, it is a distance to the right, also when a number is negative, it is a distance to the left. If a positive number is referred to as deposit to a bank account, then a negative number is a withdrawal from that bank account.
So, If a positive number means addition, then a negative number would also mean subtraction.
The amount that represents a withdrawal of less than $200 would be (-$200)
What is the value of the angle marked with x?
Answer:
87
Step-by-step explanation:
Answer:
x=91
Step-by-step explanation:
All angles of a quadrilateral can add up to 360.
360-87=273
273/3=91
x=91
I am not to sure, but I think this is the answer.
Which ratio is equivalent to 7:3 ???
Answer:
14:6 is a ratio that would be equivalent to the ratio given.
I doubled 7 to 14, and 3 to 6. 21:12 or 28:18 could also be correct.
Final answer: 14:6
If there are answer choices that are not any of these ratios, I can help. xD
Soy bean type 1 yielded 125 bushels per acre last year at a research farm. This year, soy bean type 2, planted in the same location, yielded only 100 bushels per acre and there was a drought. The researchers do not know whether the difference is a result of the superiority of type 1 soy beans or the drought. What is this an example of?
Answer: confounding variables
Step-by-step explanation:
Confounding variables are outside influence that changes the effect of a dependent and independent variable. In this case the outside variable is the drought, which has changed the effects of the dependent and independent variables. This additional influence can be used to influence the outcome of an experimental result. Confounding variables can ruin an experiment and produce unwanted results.
Answer:
confounding
Step-by-step explanation:
The area of a rectangle is 42 square inches
and one side is 12 inches long. Find the perimeter of the rectangle.
Answer:
The perimeter is 31 inches
Step-by-step explanation:
The perimeter is the sum of all the sides.
The formula for the area of the rectangle is : [tex]length*width[/tex]
To work this out you would first need to divide the area of 42 by the length of 12, this gives you 3.5. This is because the formula for the area of a rectangle is length multiplied by the width, and so by dividing the area by 12 we are working out the perimeter of the missing side.
Now that we know the lengths of both sides we can begin working out the perimeter. You can do this by multiplying the lengths by 2. Multiply 12 by 2,which gives you 24. Multiply 3.5 by 2, which gives you 7.
The final step in calculating the perimeter would be to add the values of 24 and 7, this gives you 31. This is because the perimeter is sum of all of the lengths of a shape.
1) Divide 42 by 12.
[tex]42/12=3.5[/tex]
2) Multiply 12 by 2.
[tex]12*2=24[/tex]
3) Multiply 3.5 by 2.
[tex]3.5*2=7[/tex]
4) Add 7 and 24.
[tex]24+7=31[/tex]
Find the surface area.
Any help will be appreciated. Thank you
Answer: 144 units squared
Step-by-step explanation:
Rec- 3 x 11 = 33
Rec- 4 x 11 = 44
Rec- 5 x 11 = 55
Tri- 3 x 4 = 12 12/.5 = 6
Tri- 3 x 4 = 12 12/.5 = 6
33 + 44 + 55 + (6 x 2)
33 + 44 + 55 + 12 = 144
Multiply the polynomials: (2x^3−4x)(3x^2+2)
6x^5−16x^3+8x
x^5+18x^3−6x
5x^6+11x^3+8x
6x^5−8x^3−8x
Which function has the greater slope and what does it indicate?
Answer:
The math function has the greater slope, which shows that the estimated time per question for math is greater than the estimated time per question for language arts.
OR B on edge
Step-by-step explanation:
The cauliflower function has the greater slope, which shows that the cost per pound of cauliflower is increasing at a faster rate than the cost per pound of broccoli.
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the
change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
First, Slope for Broccoli
Slope = (3.6 - 3) / (3 - 2.5)
Slope = 0.6 / 0.5
Slope = 1.2
Second, Slope for Cauliflower
slope = (4.50 - 2.75) / (4.5 - 2.75)
= 1.75 / 1.75
= 1.000
Since the slope of the cauliflower function (1.0000) is greater than the slope of the broccoli function (0.8364), we can conclude that the cauliflower function has the greater slope.
Learn more about Slope here:
https://brainly.com/question/3605446
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The solutions of a quadratic equation are 5 and -1. What is the factored form of a related quadratic function?
Answer:
f(x)=(x+1)(x-5)
Step-by-step explanation:
The solutions to a quadratic equation are going to be your x-intercepts, or when y is equal to zero. For y to be zero, all you have to do is have one value equal to zero. When x is 5, (x-5) is equal to zero. When x is -1, (x+1) is equal to zero. This is one example of what your quadratic equation could be.
CONCEPTS OF ALGEBRA
(question in picture)
PLEASE HELP!
10 points
Hey there!
This equation we're given is a function. This means that we will get a certain output for each input. If your input is x, the output, or y, will be 0.3 of x plus 11.8. It appears that the independent variable (our x) is the age in the table and the height of the jump is the dependent variable (our y). We can plug some of the data into our function and see if it is true! We will use the first two columns of the table to test this out.
--------------------------------------------------------------------------------------------
Column 1
Age: 22
Height of Jump in Inches: 15.4
15.4=0.3(22)+11.8
15.4=6.6+11.8
15.4=18.4
This is equation is false, so this data point does not match the given function. We can check with one more column just to make sure, but just given this we immediately know that the given equation is not a good fit for the data.
--------------------------------------------------------------------------------------------
Column 2
Age: 24
Height of Jump in Inches: 17
17= 0.3(24)+11.8
17=7.2+11.8
17=19
This is equation is also false.
--------------------------------------------------------------------------------------------
Therefore, this equation is not a good fit for the data given.
I hope that this helps! Have a wonderful day!
help plz! (a + b - c)(a + b + c) multiplying polynomials
Answer:
a^2 + 2ab + b^2 - c^2
Step-by-step explanation:
When you multiply all the terms together you get a^2 + ab + ac + ab + b^2 + bc - ac - bc - c^2. Then you can just combine like terms and simplify it to a^2 + 2ab + b^2 - c^2. Hope this helps :)
find the sum of the first 15 terms of the goemetric series 3+9+27
Answer:
Step-by-step explanation:
hello : here is an solution
Help please help help
Answer:
I got 3.60
Step-by-step explanation:
I used a^2 + b^2 = c^2.
2^2 + 3^2 = c^2 which is the hypotenuse ( the slide)
^^^^^^^^^^these are the legs that make up the right angle. FIRST get the square root of those and add them. THEN the total of that which is 13. Square root 13...√13 and it gives you 3.6055512etc.
What is the length of a diagonal of a cube with a side length of 1 cm?
StartRoot 2 EndRoot cm
StartRoot 3 EndRoot cm
StartRoot 4 EndRoot cm
StartRoot 5 EndRoot cm
Answer:
The answer is 3cm
Step-by-step explanation:
The length of a diagonal of a cube with a side length of 1 cm is,
⇒ √3 cm
What is mean by Multiplication?Multiplication means to add number to itself a particular number of times. Multiply will be viewed as a process of repeated addition.
Given that;
A side length of cube is,
⇒ 1 cm
We know that;
The length of a diagonal of a cube with a side length of a cm is,
⇒ d = √3 × a
Here, a = 1
Hence, The length of a diagonal of a cube with a side length of 1 cm is,
⇒ d = √3 × 1
⇒ d = √3 cm
Learn more about the multiplication visit:
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