Answer:
Volume of the fish tank = 840 cm³
Step-by-step explanation:
Given:
Length of rectangular prism tank = 15 cm
Height of rectangular prism tank = 8 cm
Width of rectangular prism tank = 7 cm
Volume of the rectangular prism tank = Length × Width × Height
V = 15 × 7 × 8
V = 840 cm³
Volume of the fish tank = 840 cm³
To find the roots of the quadratic equation 3x²- 2x+1=0 using the quadratic formula
Answer: This is what i got x=1+i √2/3 not sure if that is what you need but hope it helps
Step-by-step explanation:
Answer:
[tex]x = \frac{ 1 + 1\sqrt{-1}}{3}[/tex] and [tex]x = \frac{ 1 - 1\sqrt{-1}}{3}[/tex]
Step-by-step explanation:
Hello!
The quadratic formula is: [tex]x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex], derive from the standard form of a quadratic: [tex]ax^2 + bx + c[/tex].
The expression 3x² - 2x + 1 is a lot like our standard form:
a = 3b = -2c = 1Let's plug in the values and solve.
Solve the Quadratic Formula:
[tex]x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex][tex]x = \frac{-(-2) \pm \sqrt{(-2)^2 - 4(2)(1)}}{2(3)}[/tex][tex]x = \frac{2 \pm\sqrt{4 - 8}}{6}[/tex][tex]x = \frac{2 \pm \sqrt{-4}}{6}[/tex][tex]x = \frac{2 \pm 2\sqrt{-1}}{6}[/tex][tex]x = \frac{ 1 \pm 1\sqrt{-1}}{3}[/tex]The roots are [tex]x = \frac{ 1 + 1\sqrt{-1}}{3}[/tex] and [tex]x = \frac{ 1 - 1\sqrt{-1}}{3}[/tex]
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Set up a proportion and solve round to the nearest tenth. 45 is what percent of 80?
Answer:
the answer: 56.25 percent of 80
what is the scale factor from triangle abc to triangle A' B' C' ? Also explain how.
Using transformations, graph the following function and its inverse
f(x) = 2x+1 +5
Answer:
yes that correct
Step-by-step explanation:
The price of a video game was reduced from $60 to $45. By what percentage was the price of the Vedic games reduced.
Answer:
[tex]33.3\%[/tex]
Step-by-step explanation:
Given: price of a video game was reduced from [tex]\$60[/tex] to [tex]\$45[/tex]
To find: percentage decrease in the price of the Vedic games
Solution:
Old price of the game [tex]=\$60[/tex]
New price of the game [tex]=\$45[/tex]
Decrease in the price of the Vedic games [tex]=\$60-\$45=\$15[/tex]
Percentage decrease in the price of the Vedic games = (Decrease in the price of the Vedic games × 100) ÷ New price of the game
[tex]=\frac{15(100)}{45} =\frac{100}{3}\%=33.3\%[/tex]
simplify the expression below using the distributive property:
4x - 2(x + 5)
Answer:
It is 2x-10
Step-by-step explanation:
It is 2x-10 because when you are doing this you want to try to get the x alone but in this case it is not dertinable
Write an inequality that represents this situation below. Be sure to define your variable in words.
Jeffery needs to save more than $500 to attend camp over the summer.
Answer: m>500
Step-by-step explanation:
m= money
And he is going to need more than 500 so m must be greater than 500 it cant be greater than or equal too.
The cost for a business to produce "x" television commercials in 1 year is $225x + $17,000. How many commercials can the company produce in 1 year at a cost of $35,000
We are required to find how many commercials the company can produce in year at a cost of $35,000
The company can produce 80 commercials in year at a cost of $35,000
Given:
C(x) = $225x + $17,000
If C(x) = $35,000
Then,
C(x) = $225x + $17,000
35,000 = 225x + 17,000
subtract 17,000 from both sides
35,000 - 17,000 = 225x
18000 = 225x
divide both sides by 225
x = 18,000 / 225
x = 80
Therefore, the company can produce 80 commercials in year at a cost of $35,000
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What is 39.2÷2? equal to?
Answer:
19.6 is the correct answer
Answer:
19.6
Step-by-step explanation:
39.2/2
19.6
The class pet eats 1/4 cup of food each day.The teacher needs to buy enough food for 3 weeks.How much rabbit food does she need to buy?
Answer: 5.25 (pounds?)
Step-by-step explanation: 7 * 3 = 21. Multiply 21 and 1/4.
Math?? anybody somebody please help
100 points worth
Answer:
c
Step-by-step explanation:
2^4=16
(16-8)/16=8/16=1/2
What is the volume, in cubic centimeters, of a rectangular prism with a height of 7 centimeters, a width of 6 centimeters, and a length of 14 centimeters?
Answer:
588
Step-by-step explanation:
multiply length x width x height 7×6×14
Step-by-step explanation:
multiply 7,6,14
=588
therefore the answer in cubic centimeters is= 588
Please solve ASAP. Solving quadratic equations by factorising
Answer:
x = 1 , x = [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
2x² - 5x + 3 = 0
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 2 × 3 = 6 and sum = - 5
The factors are - 2 and - 3
Use these factors to split the x- term
2x² - 2x - 3x + 3 ( factor the first/second and third/fourth terms )
2x(x - 1) - 3(x - 1) = 0 ← factor out (x - 1) from each term
(x - 1)(2x - 3) = 0
Equate each factor to zero and solve for x
x - 1 = 0 ⇒ x = 1
2x - 3 = 0 ⇒ 2x = 3 ⇒ x = [tex]\frac{3}{2}[/tex]
Solve cos(theta)>sqrt3/2 for 0
Step-by-step explanation:
If you put some quantities for theta, you reach to B option
2r + 8 - r = -7
Combine like terms
Answer: -15
Step-by-step explanation: 2r+8-r=-7
1r +8 = -7
1/1 -15/1
Answer: r = -15
Step-by-step explanation:
2r - r = -7 -8
r = -15
You are given that a = 6.54 (to 3 significant figures) and b = 123 (to 3 significant figures).
Calculate upper and lower bounds for each of the following, give your answers to 3 significant figures:
(a) a + b
(b) ab
(c) a/b
(d) b - 1/a
The upper and lower bounds for the numbers are illustrations of approximation
How to calculate the upper and lower boundsThe numbers are given as:
a = 6.54 (to 3 significant figures)
b = 123 (to 3 significant figures)
(a) a + b
We have:
a + b = 6.54 + 123
a + b = 129.54
When approximated, the bounds to three significant digits are:
Lower bound = 129
Upper bound = 130.1
(b) ab
We have:
ab = 6.54 * 123
a + b = 804.42
When approximated, the bounds to three significant digits are:
Lower bound = 804
Upper bound = 805
(c) a/b
We have:
a/b = 6.54/123
a/b = 0.0531707317
When approximated, the bounds to three significant digits are:
Lower bound = 0.0531
Upper bound = 0.0532
(d) b - 1/a
We have:
b - 1/a = 123 - 1/6.54
b - 1/a = 122.847094801
When approximated, the bounds to three significant digits are:
Lower bound = 122
Upper bound = 123
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Iv'e been stuck on this question pls help
Find the area of each sector. Round your answer to nearest tenth
Answer:
area of 150° segment = 188.5 km²
Step-by-step explanation:
area of full circle = πr² = (3.14)(12²) = 452.16 km²
area of segment = (150°/360°)(452.16) = 188.5 km²
the area of each sector is C
Write the number in 2 equivalent forms as a fraction, decimal, or percent.
5/8
What is the equivalent decimal?
Answer:
0.625 62.5%
Step-by-step explanation:
Answer:
Step-by-step explanation:
Dividing 5 by 8 on a calculator results in the "equivalent decimal:"
5/8 = 0.625
0.625 converts to 62.5%: a percent
5/8 is a proper fraction
12. Zachary Tylar 72% commission? earns commission on sales of $4,255. What is his commission
Answer:
$3063.6
Step-by-step explanation:
72% of $4,255 = $3063.6
The formula for finding percents is number x percent ÷ 100.
4,255 x 72 ÷ 100 = 3063.6
Point A lies on a number line at 6. Point C lies between points B and A at 1.875. The ratio AC : AB = 3 : 5. What is the length of A B?
A. AB = 15 units
B. AB = 8.75 units
C. AB = 6.875 units
D. AB = 11 units
Plz Answer ASAP! Thank you!
Answer: C, 6.875 is the correct answer
Step-by-step explanation:
AC = 6 - 1.875 = 4.125
AB = 5/3 * 4.125 = 6.875
The measure of AB is 6.875. Therefore, option C is the correct answer.
Given that, the ratio AC: AB = 3: 5.
What is the ratio?In mathematics, a ratio indicates how many times one number contains another.
AC = 6 - 1.875 = 4.125
AB = 5/3 * 4.125 = 6.875
Therefore, option C is the correct answer.
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#SPJ5
I need help with this i don’t understand this
Answer:
13.<CAF = 145
14.<ABC = 50
15.<KCJ = 95
16.<ABG = 130
17.<BCJ = 85
18.<CAB = 35
19.<x =60
20.<y =120
21.<z = 133
22.<w = 47
23.<m = 128
24.<p = 52
Step-by-step explanation:
It just looking at the vertically opposite angle to find the exact angle.
Ex. <CAF = <BAD
Rectangle ABCD is translated to form the image A'B'C'D'.
What are the new coordinates of point D?
Answer:
i think its (6,4)
Step-by-step explanation:
Find the missing angle measures.
What is m∠1?
a. 50
b. 105
c. 100
d. 60
Answer: C
Step-by-step explanation:
we know that the third angle of the triangle with 50 and 50 degrees is 80 because a triangle has 180 degrees. we also know that 80 + the measure of angle 1 = 180 and 80 + 100=180
Which of the following pair of sets is an example of disjoint sets?
X={rational numbers} and Y={whole numbers}
P={multiples of 2} and Q={multiples of 3}
G={multiples of 5} and H={multiples of 10}
E={even numbers} and F={odd numbers}
We want to see which pair of sets is disjoint, this is, see which pair of sets does not share any element.
The correct option is: E = {even numbers} and F = {odd numbers}
So we only need to see which one is the pair of sets that does not share any element, so we can analyze the given options and see if we can find a number that belongs to both sets.
1) X = {rational numbers} and Y = {whole numbers}
Any whole number is also a rational number, for example:
2 = 4/2
So we can write the number 2 as a quotient of two integers, then we can see that these sets share elements.
2) P={multiples of 2} and Q={multiples of 3}
The number 6 is a multiple of both 2 and 3, thus the number 6 belongs to bot sets, then the sets are not disjoint.
3) G={multiples of 5} and H={multiples of 10}
10 is a multiple of 10 and 5, so the number 10 belongs to both sets, thus the sets are not disjoint.
4) E={even numbers} and F={odd numbers}
We define the even numbers as the ones divisible by 2, while the odd numbers are those that are not divisible by 2. Then by definition, there is no even number that is also odd.
Then we can see that these two sets are disjoints, and this is the correct option.
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The interior angle of a regular polygon is 156º. Find the number of sides of the polygon.
Answer:
15
Step-by-step explanation:
n = 15 sides. Therefore ,The polygon with each interior angle 156° has 15 sides.
In slope intercept y=mx+b if the slope is 3/4 and the -y intercept is -2
Answer:
y = [tex]\frac{3}{4}[/tex] x - 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + b ( m is the slope and b the y- intercept )
Here m = [tex]\frac{3}{4}[/tex] and b = - 2 , then
y = [tex]\frac{3}{4}[/tex] x - 2 ← equation of line
HELPP ME PLLSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS
Answer:
d
Step-by-step explanation:
thats just the anwser
please help me out! :)
Answer:
a) A(8,-3), B(4,-3), C(2,5)
b) not sure sry
What is the y-intercept:
7x + y = 10
Answer:
10
Step-by-step explanation:
7(0)+y=10
y=10
Answer: (0, 10)
Step-by-step explanation:
The given expression is in the standard form of linear equations: Ax + By = C, where A and B are constants.
The definition of y-intercept is the point that intersects with the y-axis, meaning that the [x] value of the point will be zero.
To find the y-intercept of an equation, substitute the [x] variable with 0, as mentioned above, the [x] value of a y-intercept is 0.
[tex]7x+y=10\\[/tex]
[tex]7(0)+y=10[/tex]
[tex]0+y=10[/tex]
[tex]y=10[/tex]
As we find the [y] value is 10, while the given [x] value is 0, therefore, the y-intercept of [tex]7x+y=10[/tex] is [tex]\boxed{(0,10)}[/tex].
Hope this helps!! :)
Please let me know if you have any questions