Answer:
8.9r + (5s + 10)
actually the parenthesis aren't necessary...
8.9r + 5s + 10
Step-by-step explanation:
You can change a subtraction to addition if you change the second term to the opposite sign. This problem is like advanced mode of "Add the Opposite"
8.9r - (-5s - 10)
= 8.9r + (+5s + 10)
= 8.9r + (5s + 10)
= 8.9r + 5s + 10
A disk is shaped like a flat circular plate. Its radius is 4.25 inches. To the nearest hundredth, what is the area of the disk? Use 3.14 for π.
Work Shown:
A = pi*r^2
A = 3.14*(4.25)^2
A = 56.71625
A = 56.72
Find the vertex and the axis of symmetry for the following functions.
a) y = 2x^3 + 4x
b ) y= -x^2+4x-5
Answer:
b
Step-by-step explanation:
its correct
Step-by-step explanation:
a)
y = 2x³ + 4x
a polynomial of 3rd degree cannot have an axis of symmetry.
it can only have a point of symmetry, like in this case.
(0, 0) is the point of symmetry, because due to the fact there is no squared term, any negative x values create exactly the same values (in absolute values) as their positive counterparts - just negative.
the vertex of a polynomial of 3rd degree is the point where the function changes directions.
that point for x³ is the origin, as it is for x. the factors only stretch the graph, but the vertex stays the same.
only if we had a term like (x+a)³ in the polynomial, this would shift the vertex.
so, the point of symmetry and the vertex are the same :
(0, 0).
b)
y = -x² + 4x - 5
the vertex form of a quadratic function is
f(x) = a(x − h)² + k
with (h, k) is the vertex.
x = h is the axis of symmetry.
we use "complete the square" to get it into that form.
-x² + 4x - 5 = -(x² - 4x + 5) = -(x - 2)² - 1
therefore,
y = -(x - 2)² - 1
h = 2, k = -1
the vertex is (2, -1)
the axis of symmetry is x = 2
Find the area of the figure. (Sides meet at right angles.)
Answer:
44ft^2
Step-by-step explanation:
Break the shape into 3 rectangles, two 3 by 2's and one 4 by 8. (Get 4 by subtracting 3 from 7 for the left and right most side)
3 x 2 = 6 ft^2
since there's two rectangles you end up 6 + 6 so you get 12 ft^2
then 4 x 8 = 32 ft^2
add 32 and 12, get 44 ft^2
The equation is the formula that relates the circumference of a circle to the radius. this gives us the ability to calculate pi if we physically measure a circle's circumference and radius. solve the equation for to get the formula you would use to perform this activity.
Answer:
π = C/(2r)
Step-by-step explanation:
The equation that relates the circumference of a circle to the radius is ...
C = 2πr
__
We can divide both sides of the equation by 2r to get an expression for π.
[tex]C=2\pi r\\\\\dfrac{C}{2r}=\dfrac{2\pi r}{2r}\\\\\boxed{\pi=\dfrac{C}{2r}}[/tex]
what is 10x+15 if x is 10
The answer would be 115
Step-by-step explanation:
What is text structure in non-fiction?
A.the table of contents
B.how the text is organized
C.illustrations and captions
D.the glossary
Answer:
B. because of the structure in a non fiction would be how the text is organized and words that are used
In two or more complete sentences, determine the appropriate model for the given data and explain how you made your decision. (2,-1), (3,0.5), (6,1.5), (9,2)
Pease help :((
The solution to the question is arrived at using the knowledge of mathematical models.
What is a mathematical model?A mathematical model is a linguistic and mathematical concepts-based description of a system.
The appropriate model for the given data is:
Because there are discrepancies and no direct equation that can complete all of these points, a Least Square Regression Line is the best option for resolving this problem.
They could be outliers, so we need use a calculator to create a regression line to find the residual value.
Learn more about Mathematical Models a:
https://brainly.com/question/11340952
#SPJ1
Simplify this square root question
The simpliication of the expression is:
[tex]\frac{3 + 5x}{\sqrt{96}*x - \sqrt{x} }[/tex]
How to simplify the expression?
We have the expression:
[tex]\frac{3 + 5\sqrt{x^2} }{4\sqrt{6x^2} - \sqrt{x} }[/tex]
Remember two things:
[tex]\sqrt{x^2} = x\\\\\sqrt{A*B} = \sqrt{A} *\sqrt{B}[/tex]
So we can rewrite the expression as:
[tex]\frac{3 + 5\sqrt{x^2} }{4\sqrt{6x^2} - \sqrt{x} }\\\\\frac{3 + 5x}{\sqrt{96}x - \sqrt{x} }[/tex]
And we can't simplify the equation anymore than that, so we stop there.
If you want to learn more about square roots:
https://brainly.com/question/24487155
#SPJ1
Write a statement that indicates that the triangles in each pair are congruent.
Answer:
If the angle degree and size of triangle are similar or same, it is depicted as congruent.
Felisha has 32 fluid ounces of pineapple juice. does she have enough pineapple juice to make one recipe?
Answer:
It depends
Step-by-step explanation:
Based on the given info it depends on how much the recipe calls for. 32 fluid ounces is equal to 4 cups, 1 quart, .25 gallons, 64 tablespoons, 192 teaspoons, and 2 pints. I really hope this answer helped you, and it honestly depends on how much the recipe calls for. :)
Answer:7
Step-by-step explanation:
o Watch help video
A town has a population of 10000 and grows at 5% every year. What will be the
population after 5 years, to the nearest whole number?
Answer:
answers
Step-by-step explanation:
125000 Submit Answer.
Answer:
12763
Step-by-step explanation:
Based on the given conditions, formulate:
10000 x ( 5%+1)⁵
Evaluate the equation/expression: 12762.81563
Find the closest integer: 12763
what does (5x3)+(4x2) equal
Answer:
23
Step-by-step explanation:
5 x 3 = 15
4 x 2 = 8
15 + 8
= 23
A sample of 50 chewable vitamin tablets have a sample mean of 300 milligrams of vitamin c. nutritionists want to perform a hypothesis test to determine how strong the evidence is that the mean mass of vitamin c per tablet differs from 297 milligrams. state the appropriate null and alternate hypotheses.
The null hypothesis is that the mean mass of vitamin c per tablet does not differ from 297 milligrams
The alternative hypothesis is that the mean mass of vitamin c per tablet differs from 297 milligrams.
What is the null and alternative hypothesis?The null hypothesis usually states that there is no relationship between the population parameters. It is known as the true hypothesis. The alternative hypothesis states that there is a relationship between the population parameters.
To learn more about the null hypothesis, please check: brainly.com/question/4454077
#SPJ1
Part D
What is the probability of the next wolf caught in the park being unmarked? Write the probability as a fraction, a decimal number, and a percentage.
Animal Total in Park Number Marked
elk 5,625 225
wolf 928 232
cougar 865 173
bear 1,940 679
mountain goat 328 164
deer 350 105
moose 215 86
Answer:
636/928 = 137/200
0.685
68.5%
Step-by-step explanation:
Frank joined a fitness club. He paid a $50 registration fee, and dues are $12 per month. Which expression can be used to find the average monthly cost of an x-month membership at the club?
Step-by-step explanation:
b is the answer y=50+12x/x
As we can get the information
the registration fee is fixed, but the dues is
increased with the Month.
so the average monthly cost
answer y=50+12x/x
3) Jasmine says "I am 45 kilos". Yolander says, " I am 53 kilos". Both are measured to
the nearest kilogram.
What is the greatest possible difference between their masses? Show how you
worked out your answer.
spanish 45 kilis la respuesta seria que los yolander son 53kilos
9. Find the slope of the line between the
coordinates (-6, -13) and (3, -1).
H.
F.
G.
314 43
J.
3/4 4/3
Answer:
The slope is 4/3
Step-by-step explanation:
The solution is in the image
Graph f(x) = x2 − 6x + 5? (1 point) 30 pts
Answer:
Direction: Opens Up
Vertex:(3,−14)
Focus:(3
Step-by-step explanation:
hope this help if not let me know have a blessed day
What are the solutions of the equation x^4+3x^2+2=0? Use u substitution to solve.
Answer:
Option BStep-by-step explanation:
Solve the equation in steps below
[tex]x^4+3x^2+2=0[/tex][tex]x^4+x^2+2x^2+2=0[/tex][tex]x^2(x^2+1)+2(x^2+1)=0[/tex][tex](x^2+2)(x^2+1) = 0[/tex][tex]x^2+2=0[/tex] or [tex]x^2+1=0[/tex][tex]x^2=-2[/tex] or [tex]x^2=-1[/tex][tex]x=\sqrt{-2}[/tex] or [tex]x=\sqrt{-1}[/tex][tex]x=\pm\ i\sqrt{2}[/tex] or [tex]x=\pm\ i[/tex]Correct choice is B
3 yards 5 feet 6 inches
X 7=?
F- 32 yards 2 feet
6 inches
G-
33 yards 2 feet
6 inches
H- 33 yards 2 feet
9 inches
J- 34 yards 2 feet
6 inches
K- none of these
3 yards 5 feet 6 inches X 7 is 33.833333 yards. The correct option is K- none of these.
Numbers of yardsFirst step
One yard is 36 inches hence:
3 yards 6 inches=(36 inches×3)+6 inches
3 yards 6 inches=108 inches+6 inches
3 yards 6 inches=114 inches
Second step
5 Feet to inches=5 ft×12
5 feet to inches=60 inches
Third step
Yards=[(114 inches+60 inches)×7]/ 36 inches
Yards=(174 inches×7)/ 36 inches
Yards=1,218 /36 inches
Yards=33.833333
Therefore the correct option is K- none of these.
Learn more about number of yards here:https://brainly.com/question/173055
#SPJ1
Enter the number that 95.746 rounds to when rounded to the nearest hundredth.
Answer:
95.75
Step-by-step explanation:
Note the place values:
9 (tens place value)
5 (ones place value)
.
7 (tenths place value)
4 (hundredths place value)
6 (thousandths place value)
~
In this case, you want to round to the nearest hundredth place value. to round, look at the place value directly right of the place value you are solving for (in this case, the thousandths place value). The value is 6.
Note:
When the value of the digit is 5 or greater, you round up. When the value of the digit is 4 or less, you round down.In this case, the value is 6, so you will round up:
95.746 rounded to the nearest hundredth is 95.75
~
A video rental company offers a plan that includes a membership fee of $5 and charges $1 for every DVD borrowed. They also offer a second plan, that costs $47 per month for unlimited DVD rentals. If a customer borrows enough DVDs in a month, the two plans cost the same amount. How many DVDs is that? What is that total cost of either plan?
Answer:
for $5 plan if he rents 47 dvd it will pay 47% as one DVS cost 1 $ .
Step-by-step explanation:
Mary and her brother are saving their money to buy a laptop that costs $799. If Mary has $356.00 and her brother has $295.00, do they have enough money together to buy the laptop?
Consider the sequence an = 9(0.4)n. which rule defines sn? sn = 6(0.4n) sn = 9(0.4n) sn = 6(1 – 0.4n) sn = 9(1 – 0.4n)
The rule that the defines the sum Sn is [tex]S_n =\frac{9 * (1 - r^n )}{0.6}[/tex]
How to determine the expression for Sn?The formula of the sequence is given as:
an = 9(0.4)^n
The above means that:
The first term, a = 9Common ratio, r = 0.4The sum Sn is then represented as:
[tex]S_n =\frac{a(1 - r^n )}{1 - r}[/tex]
So, we have:
[tex]S_n =\frac{9 * (1 - r^n )}{1 - 0.4}[/tex]
Evaluate the difference and divide
[tex]S_n =\frac{9 * (1 - r^n )}{0.6}[/tex]
Hence, the rule that the defines the sum Sn is [tex]S_n =\frac{9 * (1 - r^n )}{0.6}[/tex]
Read more about geometric sequence at:
https://brainly.com/question/24643676
#SPJ4
What is the value of x?
Answer:
108
Step-by-step explanation:
x and 2/3 x are linear pair angles.
Sum of linear pair angles is 180.
x + 2/3 x = 180
3x/3 + 2x/3 = 180
( 3x + 2x )/3 = 180
5x/3 = 180
Cross multiply,
5x = 180 * 3
Divide 5 on both sides,
x = ( 180 * 3 )/5
= 36 * 3
x = 108
Someone please Help me please
In this question, we are presented with two triangles are required to find he missing sides in them. the missing side in the first triangle is equal to 8 and the missing sides in the second triangle are 8.660, 5 and 60 for the adjacent, opposite and the second angle respectively
Trigonometric RatioIn the first triangle, we need to use trigonometric ratio to find the missing side in the triangle
Data;
Angle = 45hypothenuse = [tex]8\sqrt{2}[/tex]adjacent = xTo find the adjacent side, we need to use cosine rule on this problem.
[tex]cos\theta = \frac{adjacent}{hypothenuse} \\cos45 = \frac{x}{8\sqrt{2} } \\x = 8[/tex]
The adjacent side is equal to 8 units
In the second triangle, we also need to use trigonometric ratio, but let's write down our data
angle = 30hypothenuse = 10opposite = ?adjacent = ?We can use both cosine and sine rule here or use one and use Pythagoras's theorem to find the other side.
[tex]cos \theta = \frac{adjacent}{hypothenuse} \\cos 30 = \frac{x}{10} \\x = 8.660[/tex]
The adjacent side is equal to 8.660, let's find the opposite side using sine rule
[tex]sin\theta = \frac{opposite}{hypothenuse} \\sin 30 = \frac{y}{10} \\y = 5[/tex]
And lastly, the value of the other angle is
[tex]90 + 30 + z = 180\\z = 180 - 120\\\\z = 60[/tex]
From the calculations above, the missing side in the first triangle is equal to 8 and the missing sides in the second triangle are 8.660, 5 and 60 for the adjacent, opposite and the second angle respectively
Learn more on trigonometric ratios here;
https://brainly.com/question/11967894
#SPJ1
what is 90% of $90,000,000
Answer:
81000000
[tex]\frac{90}{100} *90000000\\ 90*900000\\ 9*9=81\\ then write all the zeros[/tex]
there were v crayons In a box.1/6 of the crayons were new.angie added another 24 new crayons to the box and there are 30 new crayons altogether.how many crayons were there in the box at first
Answer: 36
Step-by-step explanation:
If there are 30 new crayons, all you have to do is subtract the 24 new crayons Angie added, thus being six new crayons. Multiply this by 6 to get 36.
Solve. 12 1/2 - (-4 1/2)
Answer:
17
Step-by-step explanation:
two negative signs makes a positive result
this is worth 40 points so pls help! I need this ASAP.
I also need COMPLETE solution
Answer:
Shown below.
Step-by-step explanation:
Test Marks Tally Frequency Percentage
1 8 8/60 = 0.133
2 6 6/60 = 0.100
3 5 5/60 = 0.083
4 5 5/60 = 0.083
5 5 5/60 = 0.083
6 8 8/60 = 0.133
7 6 6/60 = 0.100
8 7 7/60 = 0.116
9 4 4/60 = 0.066
10 5 5/60 = 0.083
Total 59 59/60 = 0.983
For the Tally section, I believe you just fill in tally marks corresponding to the frequency. One of the observations in the table is 0, which is not a column in the frequency table.