Answer:
Step-by-step explanation:
Since the length of one of the longer sides, a, has been given to be 6.3, plug it into the equation.
2(6.3) + b = 15.7
12.6 + b = 15.7
b = 15.7 - 12.6
b = 3.1
Answer:
Equation that can be used to find length of the base is b + 12.6 = 15.7 and the length of the base we get from this equation is 3.1 cm
Step-by-step explanation:
Given:
Length of the equal side of the Isosceles Triangle = a
Length of the base of the triangle = b
Equal sides are longer than base of the triangle.
Perimeter of the triangle = 15.7 cm
Equation representing given information = 2a + b = 15.7
To find: Equation that represent or can be used to find length of the base if longer side = 6.3 cm
Given Equation is the Equation representing the perimeter of the isosceles triangle.
Longer side = 6.3 cm = Length of the Equal Sides of the triangle.
So, a = 6.3 cm
Now,
2 × 6.3 + b = 15.7
b + 12.6 = 15.7
b = 15.7 - 12.6
b = 3.1 cm
Therefore, Equation that can be used to find length of the base is b + 12.6 = 15.7 and the length of the base we get from this equation is 3.1 cm
show your work and answer choice in the comments
Answer: D. 2550 cm³
Step-by-step explanation:
Volume of one box = Length x width x height
Volume of 6 boxes = 6(L x w x h)
= 6(14 x 6 x 5)
= 6(14 x 30)
= 6(420)
= 2520
a school art teacher needs 200 sticks of clay. An art shop donates 9 small boxes and 6 large boxes of clay. the small boxes have 7 sticks of clay and the large has 10. how many more sticks of clay are needed?
Write the expression (4x-2)•6(2x+7) in the form of a quadratic expression ax^2+bx+c. What are the values of the coefficients of each term and constant term.
A=
B=
C=
Answer:
9
Step-by-step explanation:
What is the solution?
Answer: OPTION A
Step-by-step explanation:
Apply the Quadratic formula, which is:
[tex]x=\frac{-b\±\sqrt{b^2-4ac}}{2a}[/tex]
In this case:
[tex]a=1\\b=-6\\c=58[/tex]
Then, you must susbtitute these values into the quadratic formula, as shown below:
[tex]x=\frac{-(-6)\±\sqrt{(-6)^2-4(1)(58)}}{2*1}[/tex]
[tex]x=\frac{6\±\sqrt{-196}}{2}[/tex]
Keep on mind that [tex]i=\sqrt{-1}[/tex], then you can rewrite it as following:
[tex]x=\frac{6\±14i}{2}\\\\\\x=\frac{2(3\±7i)}{2}\\\\x=3\±7i\\\\x_1=3+7i\\x_2=3-7i[/tex]
Answer:
A. {[tex]3+7i,3-7i[/tex]}
Step-by-step explanation:
The given equation is [tex]x^2-6x+58=0[/tex]
Use the quadratic formula with a=1,b=-6 and c=58
Recall the quadratic formula;
[tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]
We substitute the given values to get;
[tex]x=\frac{--6\pm \sqrt{(-6)^2-4(1)(58)} }{2(1)}[/tex]
[tex]x=\frac{6\pm \sqrt{36-232} }{2}[/tex]
[tex]x=\frac{6\pm \sqrt{-196} }{2}[/tex]
Recall that;
[tex]\sqrt{-1}=i[/tex]
[tex]x=\frac{6\pm 14i}{2}[/tex]
[tex]x=3\pm 7i[/tex]
[tex]x=3+7i[/tex] or [tex]x=3-7i[/tex]
6! = 3! • 2! = =
Evaluate each expression
Answer:
120
Step-by-step explanation:
! means 3*2*1
so 6*1=6*5*4*3*2*1
6=720
720/6=120
factorial of n is given as
n! = n × (n-1) × (n-2)× . . . . . × 1
so lets solve it
6! = 6 × (6-1) × (6-2) × ( 6-3)×(6-4)×(6-5)
= 6×5×4×3×2×1
=720
similarly
3! = 3×2×1 =6
2!= 2×1= 2
3! × 2! = 6×2= 12
Solve each system by adding or subtracting -2x-y=-5,3x+y=-1
Answer:
(-6,17)
Step-by-step explanation:
-2x-y=-5,
3x+y=-1
Add the two equations together to eliminate t
-2x-y=-5
3x+y=-1
-------------------
x = -6
Now that we know x, we can substitute it into one equation to find y
3x+y = 1
3(-6) +y = 1
-18 +y = -1
Add 18 to each side
-18+18 +y = -1+18
y = 17
(-6,17)
What are the values of x and y
Answer:
x = 16
y = 131
Step-by-step explanation:
4x + 2x - 6 = 90
6x = 96
x = 16
16 + 33 + y = 180
49 + y = 180
y = 131
please help on 5 and 7 these are the last and final questions on this TBT please please help me u are guaranteed to help so please and please explain
5. you would use whole numbers because points are whole
7.x represents (2) the hours worked per week. this is because it say hourly rate and were estimating the weekly profit
You use whole numbers because the points are whole represents 2) the hours worked per week. this is because it say hourly rate and were estimating the weekly profit
Hope this helped.
the base of a triangle and a parallelogram are the same length there Heights are also the same if the area of the parallelogram is 48 m 2 what is the area of the triangle
Answer:
24
Step-by-step explanation:
The area of a parallelogram is A = b*h. The area of a triangle is A = 1/2 b*h. This means if the area of the parallelogram is 48 square meters then the area of the triangle is 24 square meters.
Answer:
24 m^2
Step-by-step explanation:
help please thanks will mark brainliest
Answer:
A
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
To find x subtract the sum of the 2 given angles from 180, that is
x = 180° - (32 + 52)° = 180° - 84° = 96°
-------------------------------------------------------
x and y form a straight angle, hence
y = 180 - x = 180° - 96° = 84°
------------------------------------------------------
To find z subtract the sum of the 2 angles from 180
z = 180° - (55 + y)° = 180° - (55 + 84)° = 180° - 139° = 41°
--------------------------------------------------------
x = 96°, y = 84°, z = 41° → A
Tell whether the ordered pair is a solution of the linear system.
(-3,-2)
3x - 2y = -5
4x + 3y = -18
the ordered pair is a solution to the two equations.
Answer:
hello : (-3,-2) is solution
Step-by-step explanation:
put x = - 3 and y = -2 in this system :
3(-3) - 2 (- 2 ) = - 9 + 4 = - 5 .... right
4( - 3 ) +3(-2) = - 12 - 6 = -18 .....right
(-3,-2) is solution of the linear system: 3x - 2y = -5
4x + 3y = -18
The diameter of a circular garden is 16 feet. What is the approximate area of the garden
Answer:
201 ft²
Step-by-step explanation:
Area of a circle is given by the formula
πr²
Thus area
= 3.142 × 8 × 8
= 201.088
= 201 ft²
Answer:
Option C
201 feet²
Step-by-step explanation:
Given in the question,
diameter of the circular graph = 16 feet
Formula to calculate the area of garden
Area = π r²where π is constant = 3.14
r is the radius
To find the radius
diameter/216/2
8 feet
Plug in values to calculate area
(3.14) 8²
200.96 feet²
Area of the circular garden having 16 feet diameter is 201 (approximate)
Hannah has 10 pencils. Jim and Hannah have 17 pencils altogether. How many pencils Jim have ?
Answer:
7
Step-by-step explanation:
altogether = 17
hannah =10
answer= 17-10
7
Solve the equation for x by graphing -2^x+3=-3^(- x)-2
Answer: =2.35
Step-by-step explanation:
factor the polynomial 9x-6
Answer:
3(3x-2)
Step-by-step explanation:
this is factoring 3 out of 9x-6
Write an equation of the line passing through the point (5,3) with slope m = -4
Answer:
Step-by-step explanation:
For this problem, point slope form would be the easiest.
Point Slope Form- y-y1 = m(x-x1)
In this case, y1 is 3, x1 is 5, and m would be the slope which is -4.
y-3=-4(x-5)
This is how to write an equation for the problem.
Answer:
[tex]\large{\boxed{y-3=-4(x-5)-\text{point-slope form}}\\\boxed{y=-4x+23}}[/tex]
Step-by-step explanation:
The equation of a line in point-slope form:
[tex]y-y_1=m(x-x_1)[/tex]
m - slope
(x₁, y₁) - point
We have the slope m = -4 and the point (5, 3). Substitute:
[tex]y-3=-4(x-5)[/tex] use distributive property
[tex]y-3=-4x+(-4)(-5)[/tex]
[tex]y-3=-4x+20[/tex] add 3 to both sides
[tex]y=-4x+23[/tex]
what is the difference of the polynomials?
(-2x^3y^2 + 4x^2y^3 - 3xy^4) - (6x^4y - 5x^2y^3 - y^5)
Answer:
A
Step-by-step explanation:
I'm assuming you already know how to do it and just need an answer.
The difference of the polynomial will be [tex]- 6x^4y-2x^3y^2 + 9x^2y^3 - 3xy^4 + y^5[/tex]
Given the polynomial function
[tex](-2x^3y^2 + 4x^2y^3 - 3xy^4) - (6x^4y - 5x^2y^3 - y^5)[/tex]
Expand the parenthesis to have:
[tex]-2x^3y^2 + 4x^2y^3 - 3xy^4 - 6x^4y + 5x^2y^3 + y^5)[/tex]
Collect the like terms:
[tex]-2x^3y^2 + 4x^2y^3 + 5x^2y^3- 3xy^4 - 6x^4y + y^5\\-2x^3y^2 + 9x^2y^3 - 3xy^4 - 6x^4y + y^5[/tex]
Rearrange:
[tex]- 6x^4y-2x^3y^2 + 9x^2y^3 - 3xy^4 + y^5[/tex]
Hence the difference of the polynomial will be [tex]- 6x^4y-2x^3y^2 + 9x^2y^3 - 3xy^4 + y^5[/tex]
Learn more here: https://brainly.com/question/10417192
The graph shows a probability distribution. What is P(X<5)
Answer:
P(x < 5) = 0.70
Step-by-step explanation:
Note: The area under a probability "curve" must be = to 1.
Finding the sub-area representing x < 5 immediately yields the desired probability.
Draw a dashed, vertical line through x = 5. The resulting area, on the left, is a trapezoid. The area of a trapezoid is equal to:
(average length)·(width, which here is:
2 + 5
----------- · 0.02 = (7/2)(0.2) = 0.70
2
Thus, P(x < 5) = 0.70
brett has been studying a type of bacteria that doubles every month. Originally, there were 5 bacterial cells. He wants to know how many there will be after 42 months?
Answer:
Step-by-step explanation:
Originally, there were only five bacterial cells. After one month, the amount of bacteria is doubled with ten bacteria. The growth is represented by the formula:
a42 = 5 x 2^1
After 42 months, the growth can be solved using this formula:
a42 = 5 x 2^42 just so you know my cuz help me shes good in this
Answer:
[tex]N=2.1990232556 \times 10^{13}[/tex]
Step-by-step explanation:
Given : Brett has been studying a type of bacteria that doubles every month. Originally, there were 5 bacterial cells.
To Find: He wants to know how many there will be after 42 months?
Solution:
Since we are given that initially there were 5 bacterial cells.
Bacteria doubles every month
Let n denotes the number of months .
Function becomes : [tex]N=N_0(2)^n[/tex]
[tex]N_0[/tex] = initial amount
N = amount after n months
So, [tex]N=5(2)^n[/tex]
Substitute n = 42
[tex]N=5(2)^{42}[/tex]
[tex]N=2.1990232556 \times 10^{13}[/tex]
Thus there will be [tex]2.1990232556 \times 10^{13}[/tex] bacteria after 42 months.
Identify which property off addition could be used to solve the following problem. Solve the problem and justify how using the property makes the problem easier to solve.
(5.9 + 3.2) + 1.8
Answer:
so we use BODMAS
B..bracket
O..oppration
D..division
M..multiplication
A..addition
S..subtraction
so we first simplify the bracket 5.9+3.2=9.10)l8
then ther is no O D M we jump them and add with 1.8
9.1+1.8=10.9
so the answer is 10.9
How many different ways can you find of writing 1/2
Answer:
1/2, half, 50%
Step-by-step explanation:
What is the interquartile range for the data set??
Answer:
65
Step-by-step explanation:
First, order the numbers in order. Then find the "middle numbers" and omit them after you have divided the number set into two equals parts. Then find the median of those number sets and then subtract.
You should get 71-6 at the end which is 65.
What is 2648 to two significant figures?
Answer:
2650
Step-by-step explanation:
Given: 2648
Two significant figures means we need to round off to the nearest tens place.
In 2648, the tens place is 4
To round off the tens place, we need to look for the next digit that is right to tens place, which is 8
8 is greater than 5, so we need to add 1 with tens place (4 +1 = 5)
Therefore, it is 2650
Hope this will helpful.
Thank you.
2648 to two significant figures is 2700
Further explanationThe significant figures of a number are digits that carry meaning contributing to its measurement resolution. This includes all digits except all leading zeros
There are three rules determining how many significant figures are in a number:
Non-zero digits are always significant.Any zeros between two significant digits are significant.A final zero or trailing zeros in the decimal portion only are significant.For addition and subtraction use the following rules:
Count the number of significant figures in the decimal portion least of each number in the problemAdd or subtract in the normal fashionYour final answer may have no more significant figures to the right of the decimal than the least number of significant figures in any number in the problem.For multiplication and division use the following rule:
The least number of significant figures in any number of the problem determines the number of significant figures in the answer.The given number is 2648
2648 can be written in two significant figures as 2700
2648 has four significant figures such as 2,6,4,8.
The second digit in the given number 2648 is '6'
Because the number 6 is greater than 5, therefore it can be rounded as '7'
Therefore, the number 2648 with four significant figures can be written as 2700 in two significant figures.
So 2700 has only two significant figures: 2 and 7.
Learn moreLearn more about significant figures https://brainly.com/question/11566364Learn more about 2648 https://brainly.com/question/12535951Learn more about round 6.7493 to 2 significant figures https://brainly.com/question/307586Answer detailsGrade: 9
Subject: mathematics
Chapter: significant figures
Keywords: significant figures, figures, numbers, significant, digits, measurement resolution
Can you help me out on this one
Answer:
I think the answer is C if I'm wrong sorry its been two years since i last learnt this
Step-by-step explanation:
What point on the number line represents the solution to the equation m-3=9?
Answer:
I know she he or they answered just wanted you to see :)
Step-by-step explanation:
Can someone please help me with this one? I’m very confused, how can you solve for the width if the problem doesn’t tell you what a and b are for the length? And after, can you tell me which letter it is? I just randomly guessed B, but idk if it’s correct and I need work to support my answer too. Whoever helps me first will get brainliest
Answer:
A. (2x-3)/2
Step-by-step explanation:
Performing the long division indicated by the perimeter expression, you find ...
perimeter = (2x -3) + (10x +6)/(x^2 +2x)
Comparing this to the formula for the perimeter ...
perimeter = 2W +2L
where L is said to be of the form (ax +b)/(x^2 +2x)
we can match terms in the perimeter expression to see that ...
2W = 2x -3
2L = (10x +6)/(x^2 +2x)
The problem doesn't ask for it, but we can see that (a, b) = (5, 3). We can also see that ...
W = (2x -3)/2 . . . . . . . matches choice A
Please salve the equation for x
Answer:
-125
Step-by-step explanation:
Cube-Shaped blocks are packed into a cube-shaped storage container.
· The edge length of the storage container is 2 1/2 feet.
· The edge length of each block is 1/5 the edge length of the storage container.
What is the volume of, in cubic feet, one shaped-cube block?
Answer:
The volume of one shaped-cube block is [tex]\frac{1}{8}\ ft^{3}[/tex]
Step-by-step explanation:
we know that
The volume of a cube is equal to
[tex]V=b^{3}[/tex]
where
b is the length side of the cube
step 1
Find the length side of one shaped-cube block
Let
x------> the length side of one shaped-cube block
y-----> the length side of the storage container
[tex]x=y/5[/tex] -----> equation A
we have
[tex]y=2\frac{1}{2}\ ft=\frac{2*2+1}{2}=\frac{5}{2}\ ft[/tex] ---> convert to an improper fraction
substitute in the equation A
[tex]x=(5/2)/5=1/2\ ft[/tex]
step 2
Find the volume of one shaped-cube block
[tex]V=(1/2)^{3}[/tex]
[tex]V=\frac{1}{8}\ ft^{3}[/tex]
The courtyard behind Jennie’s house is shaped like a trapezoid the bases measure 8 meters and 11 meters the height of the trapezoid is 12 meters what is the area of the courtyard
The area of the trapezoidal courtyard is 114 square meters.
To find the area of a trapezoid, you can use the formula:
[tex]\[ \text{Area} = \frac{1}{2} \times (\text{sum of the bases}) \times \text{height} \][/tex]
Given:
- Base 1 (b1) = 8 meters
- Base 2 (b2) = 11 meters
- Height (h) = 12 meters
Plugging these values into the formula:
[tex]\[ \text{Area} = \frac{1}{2} \times (8 + 11) \times 12 \][/tex]
[tex]\[ \text{Area} = \frac{1}{2} \times 19 \times 12 \][/tex]
[tex]\[ \text{Area} = \frac{1}{2} \times 228 \][/tex]
[tex]\[ \text{Area} = 114 \][/tex]
So, the area of the courtyard is 114 square meters.
To watch the high school play, theatre goers must buy a ticket at the door. The cost of an adult ticket is $10.00, and the cost of a student ticket is $7.50. If the number of adult tickets sold is represented by a, and the number of student tickets sold is represented by s, which expression represents the amount of money collected at the door from the ticket sales? A. 7.50as B. 7.50(a + s) C. (10.00a)(7.50s) D. 10.00a + 7.50s
Answer: Option 'D' is correct.
Step-by-step explanation:
Let the number of adult tickets sold be 'a'.
Let the number of students tickets sold be 's'.
Cost of an adult ticket = $10.00
Cost of a student ticket = $7.50
According to question, it becomes,
[tex]10.00a+7.50s[/tex]
Hence, option 'D' is correct.
The expression that represents the amount of money collected at the door from the ticket sales is $10a + $7.50s
The total amount collected at the door is the sum of the total cost of adult tickets and children tickets
Total cost of adults ticket = cost per ticket x total number of adults tickets sold
$10 x a = $10a
Total cost of children's ticket = cost per ticket x total number of children tickets sold
$7.50 x s = $7.50s
The total amount collected at the door = $10a + $7.50s
A similar question was solved here: https://brainly.com/question/18977332?referrer=searchResults