Answer:
the ans in decimal will be 2.55 bcz of 2 s.f ( significant figures)
Answer:
2.5555
Step-by-step explanation:23 divided by 9 is 2.5 repeating
The perimeter of a rectangle is 72 meters. The width of the rectangle is 4 meters less than its length. Find the length and the width of the rectangle
Answer:
length = 20 meters
width = 16 meters
Step-by-step explanation:
72 = 2(a+b)
a = b-4
a = width
b = length
then:
72 = 2((b-4)+b)
72/2 = b-4+b
36 = 2b - 4
36 + 4 = 2b
40 = 2b
b = 40/2
b = 20
a = b - 4
a = 20 - 4
a = 16
Check:
72 = 2(20+16)
72 = 2*36
Write the equation in slope intercept form. Then find the slope and y intercept of the line.
3x+7y=2
Answer:
3x+7y=2
7y=-3x+2
y=3/7x +2/7
Step-by-step explanation:
the forme slope intercept y=mx+b
so you find what y equal in equation
the slope its m so in this equation its 3/7
y intercept its b in this equation its 2/7
The shape of a dome can be modeled by the equation h=2dsquared +100 when h issue height (in feet) of the dome from the floor d feet from its center. How far from the center of the domes is the height 50 feet?
Given that,
The shape of a dome can be modeled by the equation :
[tex]h=2d^2+100[/tex] ....(1)
h is the height of the dome
d is distance from its center
We need to find the distance from the center of the dome if the height is 50 feet. Put h = 50 in equation (1)
[tex]50=2d^2+100\\\\2d^2=100-50\\\\2d^2=50\\\\d^2=25\\\\d=5\ \text{feet}[/tex], neglecting d = -5 feet (as height can't be negative)
So, at a distance of 5 feet from the center of domes the height is 50 feet.
Put these in order from shortest to longest
Answer:
acb
Step-by-step explanation:
The side across from the smallest angle will always be the smallest side. Since 58 is the smallest angle measure, side a must be the smallest. This pattern continues with the other side and angle pairs.
Talia is packing a moving box. She has a square-framed poster with an area of 4 square feet. The cube-shaped box has a volume of 14 cubic feet. Will the poster lie flat in the box? Explain?
Answer:
Length of sides of poster = 2 Ft
Length of sides of box = 2.41 Ft
Since the box has a longer side than the poster, the poster will lie flat when placed in the box.
Step-by-step explanation:
In order to determine if the poster will lie flat in the box or not, we will determine the length of the sides of the poster and the box, if the length of the side of the square poster is smaller than that of the box, it will lie flat. This is calculated as follows:
Area of poster = 4 square feet
Area of poster = (Length)²
4 = (Length)²
∴ Length = √(4)
Length of poster = 2 Ft
Volume of box = 14 cubic feet
Volume of box = (Length)³
14 = (Length)³
∴ Length = ∛(14)
Length = 2.41 Ft
∴ Length of sides of poster = 2 Ft
Length of sides of box = 2.41 Ft
Since the box has a longer side than the poster, the poster will lie flat when placed in the box.
1 An airport employee checked a group of passengers through security on Thursday. On Friday, she checked three times as many passengers, and on Saturday she processed 5,000 passengers through security. In the 3 days, she processed 15,000 passengers. How many did she process on Friday? 10005000300020007500
Answer:7,500
Step-by-step explanation
x + 3x + 5,000 = 15,000
4x - 5,000 = 10,000
4x = 10,000
/4
x = 2,500
On friday, she checked 3x, so she processed 2,500 x 3 = 7,500 passengers.
What is the constant proportionality shown on the graph?
Please and Thank you
Answer:
A.
Step-by-step explanation:
Under a
linear transformation
T of
a plane, the image of
(2,-4) is (-10-16) and that
of (-2,3) is (6, 11). Find the
matrix T of the transformation.
150 people attend a concert. There were 30 more adults than children at the concert. There were 20 more men than women. What was the ratio of the number of men to the number of women to the number of children?
Answer:
11:7:12
Step-by-step explanation:
take x to be number of women
Total= 150
adults=(x+x+20)= 2x+20
children=(2x+20-30)= 2x-10
men =x+20
women=x
find the value of x
2x-10+x+20+x=150
2x+x+x+20-10+=150
4x+10=150
4x=150-10
4x=140. divide both sides by 4
x=35
thus.
men=(35+20)=55
women=35
children=70-10=60
ratio= 55:35:60.
simplify= 11:7:12
How many terms are in the expression 36x^3+27x^2-18x-9
Answer:
Four (4) terms.
Step-by-step explanation:
36x³ + 27x² - [tex]18x^{1}[/tex] - [tex]9x^{0}[/tex]
The gives four terms.
Find the midpoint of the segment with the given endpoints. (-7,2)and(-1,1)
The midpoint is _
Answer:
(-4.5, 1.5) is the midpoint
Step-by-step explanation:
midpoint formula:
([x₁ + x₂] / 2 , [y₁ + y₂] / 2)
(-7 - 1) / 2 = -4.5
(2 + 1) / 2 = 1.5
(-4.5, 1.5) is the midpoint
PLEASE HELP ME!!Write the quotient as a mixed number.
46 divided by 9 = 5 R1
Answer:
[tex]5\frac{1}{9}[/tex]
Step-by-step explanation:
When dividing 46 by 9 quotient is 5 and remainder is 46 - 45 = 1
[tex]5\frac{1}{9}[/tex]
b. 2(3x - 5) = 2x + 6
Answer:
x = 4
Step-by-step explanation:
Given
2(3x - 5) = 2x + 6 ( divide both sides by 2 )
3x - 5 = x + 3 ( subtract x from both sides )
2x - 5 = 3 ( add 5 to both sides )
2x = 8 ( divide both sides by 2 )
x = 4
Answer:
x = 4
Step-by-step explanation:
2(3x - 5) = 2x + 6
expand- 2(3x-5):6x+10
6x-10= 2x+6
Add 10 to both sides
6x-10+10=2x+6+10
simplify
6x=2x+16
subtract 2x from both sides
6x-2x=2x+16-2x
simplify
4x=16
divide both sides by 4
4x/4=16/4
x=4
Gabe is mapping out important family events. He uses negative numbers to represent time before he was born and positive numbers to represent time after he was born. For example, Gabe's mom was given a special coin in year -20−20minus, 20, and Gabe's sister was born in year 555. What does year 000 represent? Choose 1 answer: Choose 1 answer:
Answer:
Year 0 is represent the year that Gabe was born
Step-by-step explanation:
Gabe is mapping out important family events. He uses negative numbers to represent time before he was born and positive numbers to represent time after he was born. For example, Gabe's mom was given a special coin in year -20, and Gabe's sister was born in year 5. What does year 0 represent?
Answer: Positive numbers represent things that happen after Gabe was born while negative numbers represent things that happened before Gabe was born. The first example in the question meant that Gabe's mom was given a special coin 20 years before he was born while the second example in the question meant that Gabe's sister was born 5 years after he was born.
Year 0 is represent the year that Gabe was born.
Is (a-3)(2a^2 + 3a + 3) equivalent to 2(a^3 - 1.5a^2 - 3a - 4.5)
==============================================
Work Shown:
Expand out the first expression to get
(a-3)(2a^2 + 3a + 3)
a(2a^2 + 3a + 3) - 3(2a^2 + 3a + 3)
2a^3 + 3a^2 + 3a - 6a^2 - 9a - 9
2a^3 + (3a^2-6a^2) + (3a-9a) - 9
2a^3 - 3a^2 - 6a - 9
Divide every term by 2 so we can pull out a 2 through the distributive property
2a^3 - 3a^2 - 6a - 9 = 2(a^3 - 1.5a^2 - 3a - 4.5)
This shows that (a-3)(2a^2 + 3a + 3) is equivalent to 2(a^3 - 1.5a^2 - 3a - 4.5)
Answer:
yes
Step-by-step explanation:
(a-3)(2a^2 + 3a + 3) = a(2a^2 + 3a + 3) -3(2a^2 + 3a + 3)
= 2a^3 +3a^2 +3a -6a^2 -9a -9
= 2a^3 +a^2(3 -6) +a(3 -9) -9
= 2a^3 -3a^2 -6a -9
= 2(a^3 -1.5a^2 -3a -4.5) . . . . the form you're asking about
If function f has zeros at -3 and 4, which graph could represent function f? A. the graph of a quadratic function y = (1/4)(x+3)(x-4) B. the graph of a quadratic function y = -(1/4)(x-3)(x+4) C. the graph of a quadratic function y = -(x+3)(x+4) D. the graph of a quadratic function y = (x-3)(x-4)
Answer:
A. the graph of a quadratic function y = (1/4)(x+3)(x-4)
Step-by-step explanation:
(1/4)(x+3)(x-4) = 0
x+3 = 0 or x-4 = 0
x = -3 or x = 4
For the others:
B. -(1/4)(x-3)(x+4) = 0
x-3 = 0 or x+4 = 0
x = 3 or x = -4
C. -(x+3)(x+4) = 0
x+3 = 0 or x+4 = 0
Step-by-step explanation:
The graph of function y = 1/4 (x+3)(x-4) gives the zeros at -3 and 4, therefore option (a) is correct.
What is function?A function is a combination of different types of variable and constants in which for the different values of x the value of function y is unique.
Given that,
The function f has 0 at -3 and 4.
The function f has 0 at -3 and 4 implies that the value of function is 0, when value of x are -3 and 4.
Solve with the help of options,
(a)
y = 1/4 (x + 3)(x - 4)
Substitute x = -3,
y = 1/4 (-3 + 3) (3 + 4)
y = 1/4 x 0 x 7
y = 0
Substitute x = 4,
y = 1/4 (4 + 3)(4 - 4)
y = 1/4 x 7 x 0
y = 0
The value of y is 0 at x = -3 and 4,
Therefore, option (A) is correct option.
To know more about Function on:
https://brainly.com/question/2411204
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A woman sold an article for 200 Ghana cedis and made a profit of 25%. Find the cost price of the article
Answer:
160
Step-by-step explanation:
Find the degree of this polynomial. .
[tex] - 5 {u}^{4} [/tex]
Answer:
4
Step-by-step explanation:
The degree of a polynomial is the highest of the degrees of the polynomial's monomials with non-zero coefficients
please help me on this
Answer:
Option (3)
Step-by-step explanation:
If a point having coordinates of a point (x, y),
If this point is rotated by an angle of 90 degrees clockwise about the origin then the coordinates of the image will follow the rule,
(x, y) → (y, -x)
If a point A is (3, -9) and this point is following the the same rule, new image point will be,
A(3, -9) → A'(-9, -3)
Option (3) will be the correct option.
Plzzz help me im having alot of trouble understanding this question does some one understand if you do plz help fast!!!
1/2 - 3(1/2 + 1)²
(1 + 1/3)² - 2/9
Answer:
1/2 - 3(1/2 + 1)²
simplify the expression (1/2 + 1)
1/2 - 3•(3/2)²
using PEMDAS, we see we have to evaluate the exponent first
(3/2)² = 9/4
rewrite the equation
1/2 - 3 • (9/4)
multiply 3 by (9/4)
1/2 - (27/4)
subtract
-25/4
(1 + 1/3)² - 2/9
simplify the expression (1 + 1/3)
(4/3)² - 2/9
using PEMDAS, we see we have to evaluate the exponent first
(4/3)² = 16/9
rewrite the equation
(16/9) - (2/9)
subtract
14/9
What is one negative angle that is co-terminal to 150°? *
Answer:
-210 degrees.
Step-by-step explanation:
That is 150 - 360
= -210 degrees.
There are 45 male teachers and 75 female teachersin a school. Find the percentage of male teachers, female teachers in the school.
Answer:
37.5% are male
62.5% are female
Step-by-step explanation:
in total 120 teachers (45 male+75 female)
therefore:
for male
120 - 100%
45 - x% (we need to find x)
by using the butterfly method (or cross multiply) we get:
120x=100*45
x=4500/120=37.5% (male teachers)
we do the same for female but instead of using 45 we will use 75(the quantity of female theachers in school)
120x=100*75
x=7500/120=62.5%
Which of the following is the correct equation for the distance formula for the points (x1, y1) and (x2, Y2)?
pleaseee help asap!
Answer:
[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Step-by-step explanation:
A point in a coordinate plane is represented by using its x coordinate and y coordinate. If a point O has a x coordinate (a) and a y coordinate (b), it is represented as O(a, b)
The distance between two points with location at A([tex]x_1,y_1[/tex]) and point B([tex]x_2,y_2[/tex]) is the length of the line AB and is given by the formula:
[tex]D=|AB|=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Please help, I don’t understand.
To find the answers, you basically have to use trial and error. I'm not sure how else to find them.
Anyways, grouping up "6+12" as one group and "2^2-2+1" as the other leads to
[tex](6+12) \div (2^2-2+1) = 18 \div 3 = 6[/tex]
-----------------------------
For the next problem, you'll need 2 sets of parenthesis, but this time one set of parenthesis is inside another one. The (6+12) becomes 18, which divides by 2 to get 9. Squaring that leads to 81 and then you subtract off 1 to get 80.
[tex]( (6+12) \div 2)^2 - 2 + 1 = (18\div 2)^2 - 1 = 9^2-1 = 81-1 = 80[/tex]
maria bought gifts for 7 of her friends.she spent $86.66.If she spent the same amount on each of her friends,how much did she spend on each?
Answer:
$12.38
Step-by-step explanation:
total money / total friends = amount per friend
86.66 / 7 = 12.38
Answer:
She spent 12.38 on each gift
Step-by-step explanation:
Take the total amount and divide by the number of gifts purchased
86.66 / 7
12.38
She spent 12.38 on each gift
8r - rs when r =6 and s= 5
Answer:
The answer is 18.
Step-by-step explanation:
8r - rs
8×6=48
5×6=30
48-30=18
Consider a rectangle whose length, L, is 4 more than twice its width, w. a. Write an expression for L in terms of w. b. Show that the perimeter, P, is equal to = 6 + 8. c. Given the perimeter is 20, find the length and width of the rectangle using your answer to part b.
Answer:
Step-by-step explanation:
a)L=2w+4
b)P=2L+2w
sub L=2w+4,
P=2(2w+4)+2w
P=4w+8+2w
P=6w+8
c) 20=6w+8
12=6w
2=w
L=2(2)+4
=8
Hence,
L=8 and w=2
(x−3)^2+2=8 quadratic
Answer:
x = 3 ± √6.
or 0.55, 5.45 to the nearest hundredth.
Step-by-step explanation:
(x−3)^2+2=8
(x - 3)^2 = 8 - 2 = 6
(x - 3)^2 = 6
Taking square roots of both sides:
x - 3 = +/- √6
x = 3 ± √6.
ㅤ
Given quadratic equation:-
⇢ [tex]\rm{(x - 3) 2 + 2 = 8}[/tex]
ㅤ
Simplifying the given equation:-
ㅤ
1) Simplify both sides of the equation.
⇢ [tex]\rm{x^{2} - 6x + 11 = 8}[/tex]
ㅤ
2) Subtract (8) from both sides, we get:
⇢ [tex]\rm{x^{2} - 6x + 11 - 8 = 8 - 8}[/tex]
⇢ [tex]\rm{x^{2} - 6x + 3 = 0}[/tex]
ㅤ
3) In the equation: (a = 1), (b = -6), (c = 3):
⇢ [tex]\rm{1x^{2} + - 6x + 3 = 0}[/tex]
ㅤ
4) Use quadratic formula:
⇢ [tex]\rm{x = \dfrac{-b \pm \sqrt{b^{2} - 4ac}}{2a}}[/tex]
⇢ [tex]\rm{x = \dfrac{-(-6) \pm\sqrt{(-6)^{2} - 4 (1) (3)}}{2 \times 1}}[/tex]
⇢ [tex]\rm{x = \dfrac{6 \pm \sqrt{4}}{2}}[/tex]
⇢ [tex]{\boxed{\rm{x = 3 \pm \sqrt{6}}}}[/tex]1/2(x+3)-2(x-5)=13.
Answer:
the answer would be x=-1 if you are referring to Algebra
Answer: x=-1
Step-by-step explanation:
1/2(x+3)-2(x-5) = 13 apply the distributive property to the left side.
1/2x + 3/2 - 2x + 10 =13 combine like terms on the left side
-3/2x +23/2 = 13 subtract 23/2 from both sides
-3/2x =3/2
x=-1
Eduardo counted ten seconds (y) between seeing lightning and hearing thunder, and he knew that the lightning was about 2 miles (x) away. What is the equation of the variation?
Answer:
The equation for the variation is:
[tex]\frac{Miles}{thunder\,\,time } =0.2\,\frac{mi}{s}[/tex]
Step-by-step explanation:
The relationship is given by the quotient between the two variables: (1) distance of the storm, and (2) the number of seconds to hear the thunder. That is:
[tex]\frac{Miles}{thunder\,\,time } =\frac{2}{10} =0.2\,\frac{mi}{s}[/tex]