Answer:
A: =105
Step-by-step explanation:
find the midpoint of the line segment joining points A(6,-5) and B(,6,1)
Explanation:
The two given points have x coordinates of x = 6 each. They add to 6+6 = 12. Divide this in half to get 12/2 = 6. Since the x coordinates were both the same, the midpoint x coordinate is the same as well.
The y coordinates are a bit more interesting. Add them up to get -5+1 = -4. Then cut this in half to get -4/2 = -2. The y coordinate of the midpoint is -2.
Overall, the midpoint is (6, -2)
Answer:
the answer is (6.-2)...
The weight in pounds of a baby in the first six months of life can be modeled by the
function w = 1.5m +7, where x is the age of the baby in months. According to this model,
what is the weight, in pounds, of a baby at 5 months of age? Numerical answer only.
Answer:
14.5
Step-by-step explanation:
You would plug 5 into the equation for m and have w = 1.5 (5) + 7
Then you would multiply 1.5 and 5 and get 7.5 and then add 7 and get 14.5
The weight of the baby in pounds at 5 months of age is 14.5 pounds.
Given,
The weight in pounds of a baby in the first six months of life can be modeled by the function:
w = 1.5m +7, where x is the age of the baby in months.
According to this model, we need to find what is the weight, in pounds, of a baby at 5 months of age.
What is a function?A function has an input and an output.
Example:
f(x) = x + 1
x = 1, f(1) = 1 + 1 = 2
Here,
x = 1 is the input and 2 is the output.
We have,
Function:
w = 1.5m + 7
We can consider that m = number of months.
This is why the question says this model can be used to find the weight of the baby in the first six months by putting m = 6.
w = 1.5m + 7
Here,
7 = the weight of the baby at birth
1.5m = baby weight increases by 1.5 per month.
Now,
The weight in pounds of the baby at 5 months of age is:
m = 5 months
w = 1.5 m + 7
w = 1.5 x 5 + 7
w = 7.5 + 7
w = 14.5 pounds.
Thus the weight of the baby in pounds at 5 months of age is 14.5 pounds.
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Please help with questions 7-10! I have to turn it in soon and I’m so lost!
Answer:
7)c
8)d
9)b
10)a
Step-by-step explanation:
A triangle is inscribed in a rectangle as shown below what is the area of the shaped region
The area of the shaded region is [tex]47.5cm^2[/tex].
Area of the shaded region.The area of the shaded region is the area of the whole region minus the area of the unshaded region.
How to find the area of the shaded region?The area of the whole region is equal to the area of the rectangle as a triangle is inscribed in a rectangle and the area of the unshaded region is equal to the area of the triangle.
Then the area of the shaded region will be the area of the rectangle minus the area of the triangle.
The area of the rectangle will be [tex]A_{1}=base\times height[/tex] where the base = 11 cm and height = 5cm.
Then we will get
[tex]A_{1}=11\times5\\A_{1}=55cm^2[/tex]
Now the area of the triangle is [tex]A_{2}=\dfrac{base\times height}{2}[/tex] where the base = 5cm and the height = 3cm.
Then we will get
[tex]A_{2}=\dfrac{5\times3}{2} \\A_{2}=\dfrac{15}{2}\\ A_{2}=7.5[/tex]
Then the area of the shaded region will be [tex]55-7.5=47.5cm^2[/tex].
So, the area of the shaded region is [tex]47.5cm^2[/tex]
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Choose the algebraic expression that represents the area of a triangle that has a base 8 inches less than 2 times wider than the hight.?
A. (1/2)(2b+8)(b)
B. (1/2)(2h-8)(h)
C. (1/2)(2h)(h-8)
I’m not sure if it’s either B or C
Answer:
B. (1/2)(2h-8)(h)
Step-by-step explanation:
Area of a triangle = 1/2 × base × height
Let
Height = h
Base = 8 inches less than 2 times wider than the hight
= 2h-8
Substituting the values of base and height into the formula
We have,
Area of a triangle = 1/2 × base × height
= 1/2 × (2h-8) × h
= (1/2)(2h-8)(h)
The correct answer is option
B. (1/2)(2h-8)(h)
Daniel wants to open an account to purchase a new computer. He was able to put $750 into an account that pays him 8.5% interest. The cost of the computer he wants is $1,150.00. How long will he have to wait to withdraw the money?
Answer:
Daniel has to wait around 5.24 years to withdraw the money.
Step-by-step explanation:
We are given that Daniel wants to open an account to purchase a new computer. He was able to put $750 into an account that pays him 8.5% interest. The cost of the computer he wants is $1,150.00.
Let the Principal sum of money be represented by 'P'.
The rate of interest be represented by 'R'.
The time period be represented by 'T'.
The final amount of money be represented by 'A'.
Assuming the interest given is compound interest.
So, the formula for calculating the amount of money is given by;
[tex]\text{A} = \text{P} \times (1-\text{R})^{\text{T}}[/tex]
Here, A = $1,150, P = $750, R = 8.5% and let the time he have to wait to withdraw the money be 'n'.
So, putting these values in the above formula we get;
[tex]\text{A} = \text{P} \times (1+\text{R})^{\text{T}}[/tex]
[tex]\text{\$1,150} = \text{750} \times (1+\text{0.085})^{\text{n}}[/tex]
[tex](1+\text{0.085})^{\text{n}} = \frac{\$1,150}{\$750}[/tex]
[tex](1+\text{0.085})^{\text{n}} = 1.533[/tex]
Taking log on both sides;
[tex]\text{n} \times ln(1+\text{0.085}) = ln(1.533)[/tex]
[tex]n = \frac{ ln(1.533)}{ ln(1.085)}[/tex]
n = 5.24 years
Hence, he has to wait around 5.24 years to withdraw the money.
What are the maximum and minimum values for the measurement 15 cm?
Answer: (14.5cm, 15.4cm)
Step-by-step explanation:
We have a measure of 15cm.
This may be a rounded up or rounded down number.
Now, when we want to round at a given digit, we need to see to the previous digit.
If the previous digit is larger than 5, then we round up.
If the previous digit is 5 or smaller, then we round down.
Then, the largest number such that we rounded down to 15cm, is:
15.4cm
The smallest number such that we rounded up to 15cm is:
14.5cm
Then the range of possible values is:
A rectangular storage container with an open top is to have a volume of 24 cubic meters. The length of its base is twice the width. Material for the base costs 13 dollars per square meter. Material for the sides costs 9 dollars per square meter. Find the cost of materials for the cheapest such container.
Answer:
419.25
Step-by-step explanation:
The calculation of the cost of materials for the cheapest such container is shown below:-
We assume
Width = x
Length = 2x
Height = h
where, length = [tex]2 \times width[/tex]
Base area = lb
= [tex]2x^2[/tex]
Side area = 2lh + 2bh
= 2(2x)h + 2(x)h
= 4xh + 2xh
Volume = 24 which is lbh = 24
[tex]h = \frac{24}{2x^2} \\\\ h = \frac{12}{x^2}[/tex]
Now, cost is
[tex]= 13(2x^2) + 9(4xh + 2xh)\\\\ = 13(2x^2) + 9(4x + 2x)\times \frac{12}{x^2} \\\\ = 26x^2 + \frac{648}{x}[/tex]
now we have to minimize C(x)
So, we need to compute the C'(x)
[tex]= 52x - \frac{648}{x^2}[/tex]
C"(x) [tex]= 52x - \frac{1,296}{x^3}[/tex]
now for the critical points, we will solve the equation C'(x) = 0
[tex]= 52x - \frac{648}{x^2} = 0\\\\ x = \frac{648}{52}^{\frac{1}{3}}[/tex]
[tex]C" = ((\frac{648}{52} ^{\frac{1}{3} } = 52 + \frac{1296}{(\frac{648}{52})^\frac{1}{3} )^3}\\\\ = 52 + \frac{1296}{\frac{648}{52} } >0[/tex]
So, x is a point of minima that is
= [tex](\frac{648}{52} )^\frac{1}{3}[/tex]
Now, Base material cost is
[tex]= 13(2x^2)\\\\ = 26(\frac{648}{52} )^\frac{2}{3}[/tex]
= 139.75
Side material cost is
[tex]= \frac{648}{x} \\\\ = \frac{648}{(\frac{648}{52})^\frac{1}{3} }[/tex]
= 279.50
and finally
Total cost is
= 139.75 + 279.50
= 419.25
The cost of the side material is $279.50, the cost of the base material is $139.75 and the total cost is $419.25 and this can be determined by using the arithmetic operations.
Given :
A rectangular storage container with an open top is to have a volume of 24 cubic meters.The length of its base is twice the width.Material for the base costs 13 dollars per square meter.Material for the sides costs 9 dollars per square meter.Let the width of the rectangular storage container be 'x' then according to the given data the length is '2x' and let the height of the container be 'h'.
The base area of the rectangular storage container is given by:
Base Area = [tex]2x^2[/tex] ----- (1)
The side area of the rectangular storage container is given by:
Side Area = 2(2x)h + 2xh
= 6xh ---- (2)
Now, the volume of the rectangular storage container is given by:
Volume = lbh
Put the values of known terms in the above equation.
24 = [tex]2x^2h[/tex]
[tex]h = \dfrac{12}{x^2}[/tex]
Now, the cost is given by:
[tex]\rm C(x)=13(2x^2)+9(6xh)[/tex]
[tex]\rm C(x)= 26x^2 + \dfrac{648}{x}[/tex]
Now, to minimize C(x) differentiate the C(x) with respect to x.
[tex]\rm C'(x)=52x -\dfrac{648}{x^2}[/tex] ---- (3)
Now, equate the above equation to zero.
[tex]0 = 52x =\dfrac{648}{x^2}[/tex]
[tex]x = \sqrt[3]{\dfrac{648}{52}}[/tex]
Now, differentiate equation (3) with respect to x.
[tex]\rm C"(x) = 52+\dfrac{1296}{x^3}[/tex]
Now, put the value of x in the above equation.
[tex]\rm C"(x) = 52+\dfrac{1296}{\dfrac{648}{52}}[/tex]
[tex]\rm C"(x) = 52+104[/tex]
[tex]\rm C"(x) = 156 > 0[/tex]
Therefore, 'x' is the point of minima.
Now, the cost of the base material is:
[tex]= 13\times 2 \times (\dfrac{648}{52})^\frac{2}{3}[/tex]
= $139.75
Now, the cost of the side material is:
[tex]=\dfrac{648}{\sqrt[3]{\dfrac{648}{52}} }[/tex]
= $279.50
Therefore, the total cost is given by:
= 139.75 + 279.50
= $419.25
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can you help me solve this
Answer:
6 hours
Step-by-step explanation:
Subtract 553 from 265 to find the price without parts, we get 288
then divide 288 by 48. We get 6
This means 6 there was 6 hours of labor
plz answer it, plz answer it, plz answer it.
Given that :-
x+y < 5 3 < x < 5To Find :-
Value of ySolution :-
The fist expression x + y < 5 states that sum of x and y could be any rational number less than 5 .
And the second expression 3 < x < 5 states that value of x could be any rational number between 3 and 5.
Let's check which option suits best.
Is it possible to have value of 8/3 by y ?
→ x + 8/3 < 5
→ x < 5 - 8/3
→ x = 7/3
7/3 is a rational number . So y as 8/3 is possible value.
→ 7/3 = 2.33
But value of x should be greater than 3 .
So option A is wrong.
Is it possible to have value 2 by y ?
→ x +2 < 5
→ x < 5-2
→ x < 3 .
But value of X should be greater than 3.
So option B is also incorrect.
Is it possible to have value 0 by y?
→ x +0 <5
→ x < 5
It also fullfill 2nd expression that X should have value less than 5 and greater than 3.
So option C is valid .
Value of y is 0 .
Graph the line with slope -3 passing through the point (5,1) .
Answer:
Step-by-step explanation:
Graph a line given a point and a slope
Plot the given point.
Use the slope formula to identify the rise and the run.
Starting at the given point, count out the rise and run to mark the second point.
Connect the points with a line.
Multiple choice algebra question
Answer:
Vertical translation of 4 units.
Step-by-step explanation:
If you add 4 to y, you would move up 4 because the y axis is vertical.
How is 0.02 the same and different from 0.002
Answer:
0.02 is different from 0.002 because 0.02 is greater than 0.002
0.02 and 0.002 are the same because they are both decimal numbers
Step-by-step explanation:
0.02 = 2 / 100
0.002 = 2 / 1000
0.02 < 0.002
0.02 is different from 0.002 because 0.02 is greater than 0.002
0.02 can also be written as 2 × 10^2
0.002 can also be written as 2 × 10^3
0.02 and 0.002 are the same because they are both decimal numbers
What is x^-4/x^8??????
Answer:
1 / (x^12)
Step-by-step explanation:
x^-4 = 1/x^4
1 / (x^4)(x^8) = 1/ (x^12)
Can someone please help me?
Answer:
the angle EBA is 25
Step-by-step explanation:
abc is an straight angle it means 180 , so if DBC is 130 you should make a substraction ( abc- dbc) it will give you the other part that acomplish the 180 of abc , and if it is divided by the half it hould be 25 each
Write a proportion to solve this problem When planning for their wedding reception Joey and Sarah were told that Riverside Gallery would charge $550 use their function room the guests they planned on inviting . They have since changed their plans and expect to invite 107 guests. How much should they plan to pay for the function room ?
Answer:
or word problems 16-21: 1) Declare a variable 2) Write an equation 3) Solve. ... planning for their wedding reception Joey and Sarah were told that Riverside Gallery would charge $550 to use their function room for the 60 guests they planned on inviting.
Step-by-step explanation:
What is the value of x in the figure below? In this diagram, AABD - ACAD.
===================================================
The right triangles are similar, allowing us to form the proportion below
BD/AD = AD/DC
5/AD = AD/9 .... substitution
5*9 = (AD)*(AD) .... cross multiply
45 = (AD)^2
(AD)^2 = 45
AD = sqrt(45) ... apply square root
We could simplify but your teacher has decided not to. If you want to simplify, then
AD = sqrt(45)
AD = sqrt(9*5)
AD = sqrt(9)*sqrt(5)
AD = 3*sqrt(5)
--------
Segment AD is the geometric mean of BD and DC.
AD = sqrt(BD*DC)
which is the result of solving BD/AD = AD/DC for AD
So,
AD = sqrt(BD*DC)
AD = sqrt(5*9)
AD = sqrt(45)
Please help with #32
Answer:
The temperature at 10 pm was -1 degrees and the arrows helped you understand when the temperature increased and decreased.
Step-by-step explanation:
At 8 am, we know that the temperature is -3 degrees, or 3 degrees below zero. By 1 pm, the temperature has risen by 14 degrees and is now 11 degrees. We know this because -3+14=11. Now by 10 pm, the temperature has dropped 12 degrees which means that it's -1 degrees. (11-12=-1) The plot points would be all of the temperatures, or -3, 11, and -1. The arrows you need to draw are from -3 to 11 (an increase) and from 11 to -1 (a decrease). Drawing the arrows this way represents the temperature at different times and how it changed over time.
A bee flies at 20 feet per second directly from a flowerbed to its hive. The bee stays at the flowerbed for 13 minutes, and then flies directly back to the hive at 16 feet per second. It is away from the hive for a total of 15 minutes. Write and equation let d be the distance from the flowerbed to the hive.
Answer:
The flowerbed is 1066.7 feet away from the hive.Find the missing factor 8^3=(-2x)(A)
-256.
how? 8 times 8 times 8 is 512.
512/2 is 256. But two negatives make a positive. So, it's -256.
Rearrange the equation so q is the independent variable. -7q + 12r = 3q - 4r
Answer:
q = 8/5r or q = 1.6r
Step-by-step explanation:
-7q + 12r = 3q - 4r
+7q +7q
12r = 10q - 4r
+4r +4r
16r = 10q
/10 /10
16/10 = 8/5 8/5 = 1.6
q = 8/5r or q = 1.6r
Noor brought 212121 sheets of stickers. She gave \dfrac{1}{3} 3 1 start fraction, 1, divided by, 3, end fraction of a sheet to each of the 454545 students at recess. She wants to give teachers 1\dfrac{1}{2}1 2 1 1, start fraction, 1, divided by, 2, end fraction sheets each.
Answer:
12 teachers will get 1/2 sheets each
Step-by-step explanation:
Noor bought 21 sheets of stickers
She gave 1/3 sheets to each 45 students
She wants to give teachers 1/2 of sheets
The question should be: how many teachers will she give
Total sheets=21
Students gets= 1/3 × 45
=45/3
=15 sheets
Remaining sheet= total sheets - students sheets
=21-15
=6 sheets
There are 6 sheets remaining for teachers
She wants to give 1/2 to each teacher
Then,
The number of teachers that will get =Remaining sheets ÷ each teacher's share
=6 ÷1/2
=6 × 2/1
=12 teachers
12 teachers will get 1/2 sheets each
Answer:
12 teachers will get 1/2 sheets each
Step-by-step explanation:
the sum of a number and 4 is 6 1/2
Answer:
X=2
Step-by-step explanation:
let say x is the variable that we want to found .
x + 4 =6 1/2
X + 4 = 6
X= 2
The number is [tex]2\frac{1}{2}[/tex].
What is a sum?A summation, also called a sum, is the result of arithmetically adding numbers or quantities.
Given that, the sum of a number and 4 is [tex]6\frac{1}{2}[/tex]
Let the number be x
x + 4 = [tex]6\frac{1}{2}[/tex]
x [tex]x= 6\frac{1}{2} - 4\\= 2\frac{1}{2}[/tex]
Hence, the number is [tex]2\frac{1}{2}[/tex].
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Sachiko is framing the border of a square picture. If she knows the area of the picture, how could Sachiko determine the amount of framing material she needs to buy? Divide the area by 2, and then multiply the quotient by 4. Set the area equal to x2, solve for x, and then multiply the value of x by 4. Set the area equal to x3, and then solve for x. Set the area equal to x2, solve for x, and then divide the value of x by 4.
Answer:
Set the area equal to x2, solve for x, and then multiply the value of x by 4.
Step-by-step explanation:
The area of the picture is given by
A = s^2 where s is the side length
Let the side length be x
A = x^2
Take the square root of each side
sqrt(A) = sqrt(x^2)
x = sqrt(A)
We want to find the perimeter since we are framing the border
P = 4s since the picture is a square
P = 4 * x
Answer:
B.
Step-by-step explanation:
Let's let x represent the side length of the square.
Since the picture is a square, all the lengths are the same. Moreover, the area of the square is x times x or x squared. Thus:
[tex]A=x^2[/tex]
The amount of framing Sachiko needs is represented by the perimeter of the square. The perimeter of a square is determined by the formula:
[tex]P=4x[/tex]
Now, if Sachiko knows the area and she wants to find the perimeter, she can do the following:
First, the area is equal to x^2. So, she should first just find the length itself. So her first step should be to set the area equal to x^2 and then solve for x.
Then, when she has found her length, she just need to multiply it by 4 to get the perimeter or the amount of framing she needs.
Thus, the answer is choice B.
What is the median of the following numbers?
6,4,1,9, 3, 8,3,5, 10
Answer: The median is 5
Step-by-step explanation:
The median is the middle number after being arranged from least to greatest.
So arrange the numbers from least to greatest.
1,3,3,4,5,6,8,9,10
So the middle number in this set is 5
easy 10 points and brainliest :)
Answer:
y=0
Step-by-step explanation:
branliest
Answer:
2. Y=O
Step-by-step explanation:
I really don't have a good explanation but that's it
Brickey, your friend, makes minimum wage ($7.25 an hour) at his job. He uses 1 gallon of gas to get to and from work and pays $2.29 per gallon. What percent of an hours work is paid to fuel?
Answer:
ok so he makes 7.25 per hour and he waste 2.29 he is wasting the 31.5% of the salari
Step-by-step explanation:
you have to multiply 2.29 by 100 and divide it into the 7.25
2.29 X 100=229/7.25=31.5
What is the relationship between centimeters and inches?
Answer:
What do you mean like the the ratio of cm to inches?
Step-by-step explanation:
?
(06.06 MC) The work of a student to find the dimensions of a rectangle of area 8 + 12x and width 4 is shown below:
Step 1: 8 + 12x
Step 2: 4(2) + 4x(2)
Step 3: 4(4 + 8x)
Step 4: Dimensions of the rectangle are 4 and 4 + 8x
In which step did the student first make an error and what is the correct step?
Step 2; 4(2) + 4x(2)
Step 2; 4(2) + 4(3x)
Step 3; 4 + (4 + 8x)
Step 3; 4 + (4 ⋅ 8x)
Step- by- step explanation
Answer:
step 2
Step-by-step explanation:
theres a one in front of the () meaning it should have look like this
4+4x+2
Answer:The correct option is 2.Step-by-step explanation:It is given that the area of a rectangle is 8+12x and width of the rectangle is 4.We need to find the dimensions of the rectangle.Area of a rectangle isIt means the factors of expression of area represent the dimensions.The correct steps are shown below:Step 1: 8 + 12xStep 2: 4(2) + 4(3x)Step 3: 4(2 + 3x) Step 4: Dimensions of the rectangle are 4 and 2 + 3x.Student made an error in step 2 and the correct step is 4(2) + 4(3x). Therefore the correct option is 2.
X^3 divided by X^2=?
Answer choices:
A)x
B)xX^5
C)x^6
D)x^10
Answer:
x
Step-by-step explanation:
you subtract