Answer:
2021
Step-by-step explanation:
Compute the numerical value of the expression
(4042 + 4040 + 4038 + … + 6 + 4 + 2) - (4041 + 4039 + 4037 + … + 5 + 3 + 1).
Rearranging the positive and negative terms:
(4042-4041)+(4040-4039)+(4038-4037)+...(2-1)
All the partial subtractions are 1:
1 + 1 + 1 + .... + 1
This sequence is repeated 4042/2=2021 times
Evaluate −x+| y | when x=1/3 and y=−7/4. Write your answer as a fraction in simplest form.
−x+| y |=
Answer:
- 25/12
Hope it helps!
The cube of the sum of two
numbers x and y.
Question 9 of 10
The two lines below are parallel. If the slope of the red line is what is the
slope of the green line? Use a slash mark (/) as a fraction bar if necessary.
Answer:
if the lines are parallel, that means they have to have the same slope in order to stay parallel to one another. so the slope of both the green and red lines is 1/5
Estimate the solution to the following system of equations by graphing
3x+5y=14
6x-4y=9
Answer:
(2.405, 1.357)
General Formulas and Concepts:
Algebra I
Coordinate Planes
Coordinates (x, y)Graphing systems of equationsStep-by-step explanation:
To find the solution to a systems of equations, we can graph the functions in a coordinate plane and find where the 2 lines intersect. Where the 2 lines intersect is the solution to the systems of equations.
Blake bought a total of 24
doughnuts. Each doughnut cost
$0.84, including tax. Of the
doughnuts he bought, 5/8 were
glazed doughnuts. What was the
total cost of the glazed doughnuts?
Answer:
$27.60
Step-by-step explanation:
Step 1: Find 5 over 8 of 24
[tex]\frac{5}{8}[/tex] doughnuts were glazed. So the total is 24. Now we just have to find 5 over 8 of the total.
[tex]\frac{5}{8} \times 24[/tex]
Or
[tex]\frac{5}{8} \times \frac{24}{1}[/tex]
Cross divide 8 and 24
[tex]24\div 8 = 3\\\\\frac{5}{1} \times \frac{3}{1}[/tex]
So we are left with
[tex]5\times 3[/tex]
Remember, "1" doesn't change anything.
Simplify
[tex]5\times 3 = 15[/tex]
Therefore, the cost of the glazed doughnuts WITHOUT TAX is $15.
Step 2: Add the tax to the cost of the glazed doughnuts.
[tex]\$0.84[/tex]
To find the tax or sales tax, just multiply the sales tax (in decimal form, but it already is) to the total.
[tex]15\times \:0.84=12.60[/tex]
Now, add the result to the total.
[tex]12.60+15.00 = 27.60[/tex] (you don't have to add the zeros, but it still won't change anything)
The total cost of the glazed doughnuts is $27.60You want to buy a book the book is 8.50 but 24% off. How much will the book with 8% tax included?
Answer:
6.98
Step-by-step explanation:
8.50x.76(the remainder of 100 after 24 is taken out) =6.46
8% of 6.46 is around 52 cents
6.46+.52=6.98
Find the real distinct value
Answer:
Step-by-step explanation:
it has real roots if disc.≥0
p²-4×2×3≥0
p²≥24
|p|≥2√6
p≥2√6
or
p≤-2√6
answer the questin will mark brainlest
For what values of x is f(x) =-2x - 3 increasing? For what
values of x is it decreasing?
Answer:
The value of y is decreasing for all real values of x (-∞,∞).
Step-by-step explanation:
Seeing as we have a simple 1st power equation, the slope will remain the same. So, we solve for slope to see if this equation is for an increasing or a decreasing line.
y = mx + b, where m = the slope of the line
Is the standard slope form of a line, which matches the one given.
so in our equation, f(x) = -2x -3, our m value is -2.
Seeing as -2 is less than 0, the answer is:
The value of y is decreasing for all real values of x (-∞,∞).
A classroom board is 36 inches wide and 24 inches tall. Cheryl
is putting ribbon along the outside edge of the board. How
many inches of ribbon will she need?
24 inches
36 inches
A 156 inches B 120 inches
C90 inches
D 60 inches
Answer:
option B
Step-by-step explanation:
The amount of ribbon needed is 120 inches
what is perimeter?The perimeter formula for a rectangle states that P = (L + W) × 2, where P represents perimeter, L represents length, and W represents width.
Given:
length = 24 inches
width = 36 inches
So, amount of ribbon needed
=2(36+ 24)
=2(60)
=120 inches
Hence, the amount of ribbon needed is 120 inches
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6.34 Prenatal vitamins and Autism: Researchers studying the link between prenatal vitamin use and autism surveyed the mothers of a random sample of children aged 24 - 60 months with autism and conducted another separate random sample for children with typical development. The table below shows the number of mothers in each group who did and did not use prenatal vitamins during the three months before pregnancy (periconceptional period). (Schmidt, 2011)
Autism Typical Development Total
No vitamin 111 70 181
Vitamin 143 159 302
Total 254 229 483
(b) Complete the hypothesis test and state an appropriate conclusion.
What is the value of the test statistic for this test? ____ (Please round to two decimal places) What is the p-value associated with this test? _____ (Please round to four decimal places)
The test is to find out if there is a difference in the proportion of the number of autism in two samples differentiated by the use of vitamins.
The test statistic for the test is approximately 2.98
The p-value associated is 0.0028
Reasons:
The given parameters are;
[tex]\begin{array}{|l|c|c|c|}&\mathbf{\underline{Autism}}&\mathbf{\underline{Typical \ Development }}&\mathbf{\underline{Total}}\\No \ vitamin&111&70&181\\Vitamin&143&159&302\\Total&254&229&483\end{array}\right][/tex]
The null hypothesis is H₀; [tex]\hat{p}_1 = \hat{p}_2[/tex]
The alternative hypothesis is Hₐ; [tex]\hat{p}_1 \neq \hat{p}_2[/tex]
Where:
[tex]\hat{p}_1[/tex] = The proportion of the sample that did not use vitamin and had autism
[tex]\hat{p}_2[/tex] = The proportion of the sample that used vitamin and had autism
The test statistics for the difference of two proportions is given as follows;
[tex]Z=\dfrac{\hat{p}_1-\hat{p}_2}{\sqrt{\hat{p}\cdot (1-\hat{p}) \cdot \left (\dfrac{1}{n_{1}}+\dfrac{1}{n_{2}} \right )}}[/tex]
Where;
n₁ = 181, n₂ = 302, [tex]\hat p_1 = \dfrac{111}{181}[/tex], [tex]\hat p_2 = \dfrac{143}{302}[/tex], [tex]\hat p = \dfrac{111 + 143}{181 + 302 } = \dfrac{254}{283}[/tex]
[tex]The\ test\ statistics,\, Z=\dfrac{\dfrac{111}{181}-\dfrac{143}{302}}{\sqrt{ \dfrac{254}{283}\cdot (1-\dfrac{254}{283}) \times \left (\dfrac{1}{181}+\dfrac{1}{302} \right )}} \approx 2.98[/tex]
The test statistic for the test, Z ≈ 2.98
From the Z-table, we have Z > 2.98 = 1 - 0.9986, therefore, given that the
alternative hypothesis [tex]\hat p_1 \neq \hat p_2[/tex], the p-value is 2 × (1 - 0.9986) = 0.0028
The p-value associated with the test is 0.0028
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E
01:24
When solving the equation, which is the best first step to begin to simplify the equation?
-2(x+3) =-10
o(-2)(-2)(x+3) =-10(-2)
3–20x+ 3) --10(
2(x+3) = -10
f(x+3) - 10
Answer:
hi
Step-by-step explanation:
the answer is A
please help and give easy to understand explanation.
Answer:
1:2
Step-by-step explanation:
Scale factor of similar figures is usually the ratio of one to the other.
In the diagram given, the scale factor is the length of any side of the smaller figure divided by the length of the corresponding side length of the bigger figure.
Length of smaller figure = 3
Corresponding length of larger figure = 6
Scale factor = smaller figure/larger figure = 3/6
Simplify
Scale factor = ½
I got you :D
A dumpster in the shape of a rectangular prism has a volume of 528 cubic feet. The length of the dumpster is 5 feet less than twice the width w, and the height is 2 foot less than the width. Find the equation, in terms of w, that could be used to find the dimensions of the dumpster in feet. Your answer should be in the form of a polynomial equals a constant.
answer: 2w^3 - 9w^2 + 10w = 528
The dimensions of the dumpster will be 8 feet by 11 feet by 6 feet.
What is the volume of the rectangular prism?Let the prism with a length of L, a width of W, and a height of H. Then the volume of the prism is given as
V = L x W x H
A dumpster in the shape of a rectangular prism has a volume of 528 cubic feet. The length of the dumpster is 5 feet less than twice the width w, and the height is 2 feet less than the width. Then the equation will be
L = 2W - 5 ...1
H = W - 2 ...2
Then the polynomial is given as,
V = L x W x H
528 = (2W - 5)(W - 2)W
528 = (2W² - 5W)(W - 2)
528 = 2W³ - 4W² - 5W² + 10W
0 = 2W³ - 9W² + 10W - 528
Factorize the equation, then we have
2W³ - 4W² - 5W² + 10W - 528 = 0
(W - 8)(4W + 7)² = 0
W = 8, 1.75i, and -1.75i
Then the length and height will be
L = 2 x 8 - 5
L = 11 feet
H = 8 - 2
H = 6 feet
The dimensions of the dumpster will be 8 feet by 11 feet by 6 feet.
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(-8) + (-10) _(-12) =
16 - 24 + 10 =
79 - (-80) + (-15) =
(-5) (-15) (+9) =
(-650) ÷ (+65) + (10) =
Answer:
-30
2
144
675
0
Step-by-step explanation:
Each face of a cube is a square with a side length of 3 meters. What is the total area of all the faces of the cube?
Answer: 54
Step-by-step explanation:
A cube is a perfect square to find the area use L x W and if the length is 3, the width is 9
A cube has 6 sides, so 9 x 6 = 54
The total area of all the faces of the cube is 54 square meters.
Let's dive into finding the total area of all the faces of a cube.
A cube is a special type of three-dimensional shape where all its sides (called faces) are equal squares.
In your case, each face has a side length of 3 meters.
Now, to find the total surface area of the cube, we need to calculate the area of each face and then add them up.
The formula to find the area of a square is side length squared, which is [tex]\(A = s^2\)[/tex], where [tex]\(A\)[/tex] is the area and [tex]\(s\)[/tex] is the side length.
So, for your cube, each face's area is [tex]\(3^2 = 9\)[/tex] square meters. Since a cube has 6 faces,
we simply multiply the area of one face by the number of faces: [tex]\(6 \times 9 = 54\)[/tex] square meters.
To sum it up, the total area of all the faces of the cube is 54 square meters.
This is calculated by finding the area of one face and then multiplying it by the total number of faces.
In this case, each face has an area of 9 square meters, and a cube has 6 faces, resulting in a total area of 54 square meters.
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f(x,y,z)=xyz'+xy'z+xy'z'+x'yz+x'y'z.
A real estate agent has 10 properties that she shows. She feels that there’s a 50% chance of selling any one property during a week. The chance of selling any one property is independent of selling another property. Compute probability of selling no more than six properties in one week
Answer:
Step-by-step explanation:
According to the condition, for any single property the probability not selling it during a week is 100% - 40% = 1 - 0.4 = 0.6.
The probability not selling any one of 13 properties during a week is 0.6%5E13.
The probability to sell at least 1 property in one week is the COMPLEMENT to it
V = 1/3 π r^2h; If V = 48 π when r = 4, find h
Answer:
[tex]48\pi = \frac{1}{3} \pi {4}^{2} \times h \\ we \: omit \: \pi \: each \: sides \\ \\ 48 = \frac{16}{3} \times h \\ h = \frac{3 \times 48}{16} = 3 \times 3 = 9[/tex]
Coco needs 150mg of a medication that comes in tablets labelled 100mg each. How many tablets will you give her?
Please show work!
Answer:
1.5
Step-by-step explanation:
If 1 tablet is 100mg, and you need 150mg, we set up this equation:
Let x be the number of tablets Coco needs.
x = 150/100
x = 1.5
Therefore, you need 1.5 tablets for the medication.
A coffee shop currently sells 400 lattes a day at $2.75 each. They recently tried raising the by price by $0.25 a latte, and found that they sold 40 less lattes a day.
Answer:
Steps and solution in the attached picture.
Step-by-step explanation:
Steps and solution in the attached picture.
The table below represents a linear function. Find the
value of y when x = 2.
- 2
0
4
6
y
4
8
16
20
Answer:
y = 10x - 6
Step-by-step explanation:
If we know the function is linear then we can use any two coordinate pairs to find the slope of the line.
Note that the first pair is (0, -6) and the last pair is (4, 34). The 'run' is from x = 0 to x = 4, a 'run' of 4. The 'rise' is from -6 to34, a 'rise' of 40. Thus, the slope of this line is m = rise / run = 40/4 = 10.
find the square root of 12.96 by divison method
Answer:
3.6
Step-by-step explanation:
HOPE IT HELPS!!!!!!!
Step-by-step explanation:
See this above attachment.
[tex]\tt{\sqrt{12.96}=3.6}[/tex]
What is the midpoint of AC on the grid below?
Answer: Coordinates of the point E of the middle AC (-1 ; 1 )
Step-by-step explanation:
The middle of AC can be calculated by the formula :[tex]\sf \displaystyle M=\left (\frac{x_1+x_2}{2} \ ; \ \frac{y_1+y_2}{2} \right ) =(x_m \ ; \ y _m )[/tex] In our case :A(2 ; 4) ; C(-4 ; -2) Then :[tex]\sf \displaystyle M=\left (\frac{2+(-4)}{2} \ ; \ \frac{4-2}{2} \right ) =(-1 \ ; \ 1 )[/tex] Coordinates of the point E of the middle AC (-1 ; 1 )What are the x-intercepts of the parabola?
(4.5, 0) and (5,0)
(0, 4.5) and (0,5)
(0,5) and (0,4)
(5,0) and (4,0)
Answer:
(5, 0) and (4, 0)
General Formulas and Concepts:
Algebra II
Quadratics
Roots/x-intercepts of a parabolaStep-by-step explanation:
The x-intercepts of the parabola is where the quadratic is on the x-axis. According to the graph, we can see that the graph shows that the parabola touches the x-axis at 4 and 5.
∴ our answer is (5, 0) and (4, 0)
A bank loaned out $25,000, part of it at the rate of 12% annual interest, and the rest at 4% annual interest. The total interest earned for both loans was $1,480.00. How much was loaned at each rate?
Answer:
1875
Step-by-step explanation:
The bank loaned part of the $25,500 at a 6% interest rate. We will call this loan amount x. Then the rest of the 25,500 was loaned at a 9% interest rate. We will define this amount as 25,500 - x. We also know that the total interest earned was $1,875. With this information, we form the equation:
.06(x) + .09(25500 - x) = 1,875
.06x + (2,295 - .09x) = 1,875
Simplify the above equation to:
-.03x + 2,295 = 1,875
-.03x = -420
x = 14,000
Since x is the amount loaned at the 6% interest rate, we know that $11,500 was loaned at a 9% interest rate. (25,500 - 14,000 =11,500)
To figure out the amount loaned at 6%, subtract 11,500 from 25,500 ... this gives us 14,000. This means $14,000 was loaned at 6%.
To check:
14,000 x .06 = 840
11,500 x .09 = 1035
840 + 1035 = 1875
If a hamburger shop sold a combined total of 423 hamburgers and cheeseburgers but the number of cheeseburgers sold was two
times the number of hamburgers sold. How many hamburgers were sold
Answer:
141
Step-by-step explanation:
First, we choose two variables to represent the two unknown numbers, the number of hamburgers and the number of cheeseburgers.
Let x = number of hamburgers.
Let y = number of cheeseburgers.
Now we use the given information to write two equations using the variables we defined above.
"If a hamburger shop sold a combined total of 423 hamburgers and cheeseburgers"
x + y = 423
"the number of cheeseburgers sold was two
times the number of hamburgers sold"
y = 2x
We have a system of two equations.
x + y = 423
y = 2x
Since the second equation is already solved for y, we can easily use the substitution method. We substitute what y equals to (2x) for y in the first equation.
x + y = 423
x + 2x = 423
3x = 423
x = 141
Since we let x = number of hamburgers, we have the answer.
Answer: 141
Please help me!!! I really need this done!!!
Answer: c(t) = 2.4x + 6
ill give you the first two points, then you just go up 2.4 each hour
(0, 6)
(1, 8.4)
Answer:
c (t) = 2.4x+6
Step-by-step explanation:
if wrong pls forgive me
hope it helps tho
Solve for x if line a and b are parellel. SHOW YOUR WORK PLEASE.
Answer:
Step-by-step explanation:
Internal alternate angles are identical when parallel lines are intersected by a third line
3x + 16 = 5x - 54
-2x = -70
x = 35
PLEASE HELP ME PLS ILL MARK BRAINLIEST
SPAMMERS REPORTED
Answer:
f=-1/3+2 1/3
Step-by-step explanation:
cause do slope equation