Answer:
50
Step-by-step explanation:
simplify the radical by breaking the redicand up into a product of known factors, assuming positive real numbers.
Toby's little brother used his set of wooden blocks to build a giant tower. He stacked up 30 blocks to make a tower that was 64 inches tall.
How tall is each block?
Write your answer as a proper fraction or mixed number.
Solution to the question:
Number of blocks stacked: 30
Height of tower: 64 inches
Height of each block: ?
To find the height of each block, we divide the total height of the tower with the number of blocks stacked
Therefore,
Height of each block: 64/30 = 2.13 inches
So, the height of each block is 2.13 inches.
If A = {1, 2, 3} the number of non-empty proper subsets are
Answer:
The number of non empty proper subsets of a set with 3 elements is =23−2=8−2=6.
Given: P (-4; 7), Q ( 3;0) and R (-1;-4).
Determine:
1.1.1
the gradient of QR
What is the equation of the line written in general form? I need the answer ASAP
Answer:
The answer is 3x-y-2=0
Step-by-step explanation:
Answer:
2nd option
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate the slope using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (1, 1) and (x₂, y₂ ) = (2, 4) ← 2 points on the line
m = [tex]\frac{4-1}{2-1}[/tex] = 3
The line crosses the y- axis at (0, - 2 ) ⇒ c = - 2
y = 3x - 2 ← in slope- intercept form
subtract y from both sides
0 = 3x - y - 2 , that is
3x - y - 2 = 0 ← in general form
Which of the ratios below is equivalent to 8:5? Select all that apply.
A) 12:9
B) 24:15
C) 40:25
D) 20:32
E) 16:10
Step-by-step explanation:
The answer is B 24:15,divide both by 3 and check out the answers
Find the TWO integers whos product is -12 and whose sum is 1
Answer: -3, 4
Step-by-step explanation:
Integer #1 = xInteger #2 = yx · y = -12
x + y = 1 ⇒ y = 1 - x
Bring the y-value(1 - x) into x · y = -12:
[tex]x(1 - x) = -12 \\x-x^{2}=-12\\-x^{2}+x+12=0\\-(x^{2}-x-12)=0\\(x+3)(x-4)=0\\x=-3,x=4[/tex]
Bring the x-values into y = 1 - x and see if the values multiply to -12:
x = -3 ⇒ 1 - (-3) = 4 ⇒ 4 * -3 = -12
x = 4 ⇒ 1 -4 = -3 ⇒ -3 * 4 = -12
Type the correct answer in the box. Use numerals instead of words.
Consider this expression.
Hello!
|m² - 7| + n² =
= |-2² - 7| + 5² =
= |-4 - 7| + 5² =
= |-11| + 5² =
= 11 + 5² =
= 11 + 25 =
= 36
Good luck! :)
Answer:
28
Step-by-step explanation:
Points R, L, and S are
A. non-collinear and non-coplanar
B. coplanar and collinear
C. non-collinear and coplanar
D. collinear and collinear
Answer:
C. non collinear and coplanar
Option (C) non-collinear and co planar is the correct answer about the points R, L, and S.
What is coplanar?A set of points in space are co planar, if there exists a geometric plane that contains them all.
What is non-collinear?Non-collinear points are points that do not lie on one straight line. The points are not collinear, when they are joined with each other, they form a triangle, which is a three-sided polygon.
For the given situation,
The diagram shows the plane M and the triangle.
In the diagram, all the points are lie on the same plane but the points are not lie on the same line.
Three points are always co planar, and if the points are distinct and non-collinear, the plane they determine is unique.
Hence we can conclude that option (C) non-collinear and co planar is the correct answer about the points R, L, and S.
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What is the product?
Add (1.3t3 + 0.4t2 – 24t) + (8 – 18t + 0.6t2) For each term in the second polynomial, enter the letter showing where that term should be placed to add the polynomials vertically.
Answer:
[tex](1.3t^3 + 0.4t^2 - 24t) + (8 - 18t + 0.6t^2) = 1.3t^3 + t^2 -42t + 8[/tex]
Step-by-step explanation:
Given
[tex](1.3t^3 + 0.4t^2 - 24t) + (8 - 18t + 0.6t^2)[/tex]
Required
Solve
We have:
[tex](1.3t^3 + 0.4t^2 - 24t) + (8 - 18t + 0.6t^2)[/tex]
Collect like terms
[tex]1.3t^3 + 0.6t^2 + 0.4t^2 - 24t- 18t + 8[/tex]
[tex]1.3t^3 + t^2 -42t + 8[/tex]
So:
[tex](1.3t^3 + 0.4t^2 - 24t) + (8 - 18t + 0.6t^2) = 1.3t^3 + t^2 -42t + 8[/tex]
Answer:
look at pic
Step-by-step explanation:
Which of the following composition of transformations would create an
image that is not congruent to its original image?
A rotation of 45° followed by a reflection across the x-axis
A translation 2 units to the left followed by dilation by 1/2
A reflection across the y-axis followed by a rotation of 60°
A rotation of 135º followed by a translation of 4 units to the right
Which points are coplanar and non ol linear
Answer:
COPLANAR:Point A, C and D
NON- COLLINEAR:Point B
Step-by-step explanation:
[tex]{hope it helps[/tex]
A triangle has a base of 15 inches and an area of 60 square inches. What is the height of the triangle? In
your final answer, include all of your calculations.
Hi there!
[tex]\large\boxed{h = 8in}[/tex]
Area of a triangle:
A = 1/2(bh)
Plug in given values:
60 = 1/2(15h)
Solve for h. Multiply both sides by 2:
120 = 15h
Divide both sides by 15:
120/15 = h
h = 8 in
Answer:
8 inches
Step-by-step explanation:
1. BasicsArea of a triangle: [tex]\frac{1}{2}BH[/tex]
2. Solving[tex]\frac{60}{15} *2[/tex][tex]4*2=8[/tex]2. Checking[tex]\frac{1}{2}(8)(15)=\frac{1}{2} (120)=60[/tex] CORRECT
8 inches
Hope this helped! Please mark brainliest :)
After the increase the price of a rail season ticket from brighton to london was 2828.80 work out the price before this increase
Answer:
2720
Step-by-step explanation:
Given that,
Price of the ticket = 2828.80
To find,
The price before the increase = ?
Procedure:
Let the price before the increase be x
so,
x(100% + 4%) = 2828.80
⇒ 1.04x = 2828.80
⇒ x = 2828.80 ÷ 1.04
∵ x = 2720
Thus, the price before the increase was 2720.
Find the x and y intercept for the equation: − = 4
Answer:
x = (4,0)
y = (0,-4)
Step-by-step explanation:
x - y = 4
(0) - y = 4
-(-y) = -(4)
y = -4
x - (0) = 4
x = 4
x = (4,0)
y = (0,-4)
Answer:
x = 4 . 0
y = 0 . -4)
Step-by-step explanation:
Se conoce que 6 jarras cuestan lo mismo que 5 cubiertos y que 3 cubiertos cuestan S/. 7.20, ¿Cuánto costarán 7 jarras? (2 PUNTOS)
Answer:
7 jarras costarán 14 $
Step-by-step explanation:
Si 3 cubiertos cuestan 7.20 $
1 cubierto cuesta 7.20/3 = 2.40 $
y 5 cubiertos cuestan 5* 2.40 = 12 $
que también cuestan 6 jarras = 12 $
Luego 1 jarra cuesta 12/6 = 2 $
Por lo que 7 jarras costarán: 7 * 2 = 14 $
solve the logarithmic equation
[tex] log_{3} {x}^{2} - log_{3}(x + 6) = 1[/tex]
Answer:
Step-by-step explanation:
Using log(x) - log(y) = log (x/y)
logx^2 - log(x+6) = 1 is equal to:
log (x^2/(x+6)) = 1
Taking inverse base 3 log on both side:
x^2/(x+6) = 3
x^2 = 3x + 18
x^2 - 3x - 18 = 0
(x-6)(x+3) = 0
x = 6 or -3
Answer:
Step-by-step explanation:
1 = base 3log3
substitute
logx^2-log(x+6) = log3
logx^2 - log(x+6) - log3 = 0
log( (x^2/(x+6))/3 ) = 0
anti-log
x^2/3(x+6) = 1
x^2 = 3(x+6)
x^2-3x-18=0
x=6 n -3
anti-log base 3 on both sides:
Someone please help me ASAP
Step-by-step explanation:
a vector multiplied by a scalar is equal to it's image. The expression above gives an equation and after solving, it gives you the image
which expression is equivalent to
Answer:
B.
Step-by-step explanation:
(working backwards to explain)
[tex]\sqrt{5g^5h^2} \\\\\\h\sqrt{5g^5}\\\\\\g^2h\sqrt{5g}[/tex]
What is the domain and range?
Answer:
15
Step-by-step explanation:
Isabell drove 819 miles in 13 hours. at the same rate how many miles would she drive in 7 hours
Answer:
441 miles
Step-by-step explanation:
Rate of the Car: 819/13 = 63mph
Miles Driven in 7 Hours: 63*7 = 441 miles
Answer:
441 miles
Step-by-step explanation:
* means multiply
819/13 = x/7
13 * x = 819 * 7
13x = 5733
x = 5733 ÷ 13
x = 441
a watch was bought for RS 4444. at what price should it be sould to gain rs444?
Answer:
Rs4000
Step-by-step explanation:
Given data
Step one
Selling price =RS 4444
Gain =rs444
Cost price =???
We want to find the cost price
Cost price =selling price - gain
Cost =4444-444
Cost=Rs4000
SOMEONE HELP ME !!!
The side length of a smaller square is one-third the side length of a larger square.ee
the following statements describes the area of the smaller square?
F The area of the smaller square is I the area of the larger square.
27
G The area of the smaller square is 172 the area of the larger square.
H The area of the smaller square is the area of the larger square.
1 The area of the smaller square is
the area of the larger square,
3
1 / 2
SOMEONE HELP ME !!!
Answer:
H
Step-by-step explanation:
lets say the first big square has side s, so the area will be s²
then the side of the small square is s/3, and the area is (s/3)²= s²/3² =s²/9
the area of the smaller square is 1/9 smaller than the area of the big square
Prove that the value of the expression: (3^5 - 3^4)(3^3 + 3^2) is divisible by 24. Answer format: The value of the expression is 24 • __
Step-by-step explanation:
(3^5 - 3^4) (3^3 + 3^2)
= (243 - 81) (27 + 9)
= (162) (36)
= 5832
24 = 8*3
since 832 is divisible by 8 and 5+8+3+2 = 18 is divisible by 3
5832 is therefore divisible by 24
check:
5832/24 = 243
SOMEONE PLEASE HELP!!
Answer:
RV = 18
Step-by-step explanation:
The diagonals of a parallelogram bisect each other, then
RV = [tex]\frac{1}{2}[/tex] RT = [tex]\frac{1}{2}[/tex] × 36 = 18
help! A new law has support from some Democrats and some Republicans. This two-way frequency table shows the proportion from each political party that does or does not support the new law.
Which conclusions can be made from this table?
Select each correct answer.
For both parties, more members do not support the law than support the law.
Compared to the Republicans, the Democrats have a larger percentage of members who support the law.
More Republicans support than the law than do not support the law.
Among Democrats, a larger percentage do not support the law than support the law.
Support Do not support
Democrat 0.32 0.68
Republican 0.44 0.56
What i can see:
It seems this law isn't particularly majorly favored in either party. In a lot of cases one party will have the majority support and one will have minority support. Although it seems to be more favored amongst democrats.
Like "insert law here" may be more favored by republicans or align more to their usual values.
Another thing is that it seems that it is controversial and a large portion either supports or doesnt support this law in both parties.
Im no master politician ofc but i am interested in politics so, yeah :)
Answer:
Among Democrats, a larger percentage do not support the law than support the law.
For both parties, more members do not support the law than support the law.
Step-by-step explanation:
just finish the test
Which statement about a right triangle is true?
A: The length of each leg equals 1/2 of the hypotenuse.
B: The square of the hypotenuse is equal to the sum of the squares of the legs.
C: One leg is always longer than the hypotenuse.
D: A right triangle can have only one obtuse angle.
Answer:
the square of hypotenuse rs eqaul to the sum of the square of the legs
If the volume of a given cube is 729 cubic inches, what is the surface area of the
cube?
486 sq.inches
230 sq.inches
120 sq.inches
222 sq.inches
Answer:
SA = 486
Step-by-step explanation:
Its a cube. s = side length
V = [tex]s^{3}[/tex]
729 = [tex]s^{3}[/tex]
take cube root of each side : [tex]\sqrt[3]{729}[/tex] = 9
so, s = 9
Surface Area of a cube
SA = 6[tex]s^{2}[/tex]
SA = 6([tex]9^{2}[/tex])
SA = 6(81)
SA = 486
The surface area of the cube is 486 square inches. The correct option is A.
To find the surface area of a cube, we need to use the formula:
Surface Area = 6 x (side length)²
Given that the volume of the cube is 729 cubic inches, we can determine the side length of the cube using the formula for volume:
Volume = (side length)³
729 = (side length)³
Taking the cube root of both sides:
side length = ∛(729) = 9 inches
Now, we can substitute the side length into the surface area formula:
Surface Area = 6 x (9 inches)² = 6 x 81 = 486 square inches
Therefore, the surface area of the cube is 486 square inches.
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Which expressions are equivalent to the one below? Check all that apply.
7*3.7^x
A. 73-*
B. 493x
C. 343.7
D. (7.7)3
E. 73x
F. 73 + x
Answer: ur answer is correct ❤️
Step-by-step explanation:
John had $20. He earned $5, spent $10, earned $5 again, and then spent $3. After this series of earings and expenses, how much money did he owe or have left?
Answer:
It might be $17 for how much he has left.
Step-by-step explanation:
$20+$5-$10+5-$3=$17