[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
[tex] \textbf{Let's see if the sequence is Arithmetic :} [/tex]
[tex] \textsf{If the difference between successive terms is } [/tex] [tex] \textsf{equal then, the terms are in AP} [/tex]
[tex] \textsf{-34 - (-29) = -5 } [/tex][tex] \textsf{-39 - (-34) = -5 } [/tex][tex] \textsf{Since the common difference is same, } [/tex] [tex] \textsf{we can infer that it's an Arithmetic progression} [/tex] [tex] \textsf{with common difference of -5} [/tex]
Sequence: -29, -34, -39, -44, -49, ...
First we need to identify the terms:
1st term = -292nd term = -343rd term = -394th term = -445th term = -49If the sequence is arithmetic, [tex]\boxed{\sf \bold{second \ term = \dfrac{first \ term+third \ term}{2} }}[/tex]
If the sequence is geometric, [tex]\boxed{\sf \bold{second \ term = \sqrt{first \ term \ x \ third \ term} }}[/tex]
=======================================
Check for arithmetic
[tex]\rightarrow \sf -34 = \sf \dfrac{-29 +(-39)}{2}[/tex]
[tex]\rightarrow \sf -34 = \sf \dfrac{-68}{2}[/tex]
[tex]\rightarrow \sf -34 = -34[/tex] [Hence it's arithmetic series]
To find common difference. we have to think of how to go to next term.
first term: -29
to go the second term, subtract by -5
-29 -5 = -34, second term
-34 - 5 = -39, third term
Hence, common difference: -5
Solutions:
Arithmetic Sequence
Common Difference: -5
The number of calories C varies directly as the number of ounces N of avocado that is consumed by the body and C is 380 calories N is 20 ounces. Find C when N is 36 ounces.
Given that C varies directly as N, the value of Calories C when the number of ounces N is increased to the given value is 684 calories.
What is Proportional relationships?
Proportional relationships are relationships between two variables where their ratios are equivalent.
Direct variation equation is a linear equation in two variables.
It is expressed as;
a ∝ b then a = kb
Where k is the proportionality constant.
Given the data in the question;
Calories C = 380 caloriesNumber of ounces N = 20 ouncesSince Calories C and Number of ounces N varies directly, we find their proportionality constant.
a ∝ b then a = kb
C = kN
380 calories = k × 20 ounces
k = 380 calories / 20 ounces
k = 19 calories/ounces
Now,we find C when N is 36 ounces.
C = kN
C = 19 calories/ounces × 36 ounces
C = 684 calories
Given that C varies directly as N, the value of Calories C when the number of ounces N is increased to the given value is 684 calories.
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Please let me know the answer to this 5^2+10^2=
Answer:
5^2+10^2=25+100=125
Step-by-step explanation:
Answer: 125
Step-by-step explanation: 5² + 10² = 25 + 100
Debbie's Cupcakes recently sold 3 vanilla cupcakes and 3 other cupcakes. What is the experimental probability that the next cupcake sold will be a vanilla cupcake?
Write your answer as a fraction or whole number.
P(vanilla cupcake)=
Answer:
P(vanilla cupcake)= 1/2
Step-by-step explanation:
Knowing that:
3 vanilla cupcakes
3 other cupcakes
Total = 6
To Find:
What is the experimental probability that the next cupcake sold will be a vanilla cupcake?
Write your answer as a fraction or whole number.
P(vanilla cupcake)=
Solve:
Experimental probability is expressed as:
(Favorable outcomes) / (Total outcomes)
The favorable outcome in this situation is vanilla cupcakes. There were 3 vanilla cupcake sold, so this is the numerator of our fraction.
To find the total outcomes we add 3 + 3, which equals 6. This will be the denominator of our fraction.
The fraction used to express experimental probability will be: 3/6
We can further simplify this to 1/2.
Thus:
P(vanilla cupcake)= 1/2 or 3/6
Kavinsky
Can someone please help me i need this
Answer: g + s = 698
3g = s
Step-by-step explanation:
By looking the question, we know that gold tickets and silver tickets add up to 698, so we get:
g + s = 698
And we know that silver tickets is three times of the gold tickets.
3g = s
We combined them together, we get :
g + s = 698
3g = s
EASY 9th GRADE MATH PLEASE HELP
Two thirds of a number is twice the number decreased by twenty-four. Write an equation and solve for the number.
Step-by-step explanation:
2/3 X = 2x -24
now just solve for X.
2X = 8X - 72
-6x = -72
X = 12
A cone is stacked on top of a cylinder. they both share a circular base. the total height of the composite figure is 20. the height of the cylinder is 11 and the diameter is 12. what is the volume of the composite figure? use 3.14 for π and round the answer to the nearest tenth of a cubic unit. 753.6 in.3 904.3 in.3 1,582.6 in.3 1,997.0 in.3
Answer:
it is C
Step-by-step explanation:
got it right on edge
Answer:
1,582.6 in.3
Step-by-step explanation:
The garden in the scale drawing is 0.75 inch long.
What is the actual length of the garden?
Garden
Lawn
Scale: 1 in. = 10ft
1. Write the scale as a ratio:
Answer:
7.5 feet
Step-by-step explanation:
Hello there.
1. We know that the scale drawing is 0.75 inches long.
2. If 1 whole inch on the map is equivalent to 10 feet in real life, then how much feet in real life would be 0.75 inches on the map?
0.75 is equivalent or equals to 3/4 as a fraction.
Multiply 3/4 with 10 feet to get 7.5 feet.
Hope this helped!
- Angelo
Find the image of the given point
under the given translation.
P(3, -4)
T(x, y) = (x-6, y + 5)
P' = ([?], [])
27
Answer:
P' (- 3, 1 )
Step-by-step explanation:
the translation
(x, y ) → (x - 6, y + 5 )
means subtract 6 from the x- coordinate and add 5 to the y- coordinate, so
P (3, - 4 ) → P' (3 - 6, - 4 + 5 ) → P' (- 3, 1 )
Use the information to answer the question.
A gym offers its new customers two plans for 6-month memberships. In both plans, the first 3 hours
•
Plan A: $45. 00 per month, plus $10 per additional -Io hour of racquetball
Plan B: $75.00 per month, plus
$7.50 per additional ; hour of racquetball
Rami
plays 5 hours of racquetball per month.
How much money
will Rami save in 6 months with the
cheaper plan?
Enter the answer in the
$
Answer: A is cheaper
Step-by-step explanation: In the plan A, he pays $270( 45×6) as fee
Then $50/month for racket which is $300
total270+300=570
In plan b he pays 75 per month which is $450 and $37.5 on racket per month which is $225 making a total of $675
Difference in 6months is 675-570= $105 saved
Answer: 105
Step-by-step explanation:
did test
Find the missing side to the nearest tenth.
***Numerical answer only!
А
с
5
с
4
B
Answer:
6.4
Step-by-step explanation:
The hypotenuse of a right triangle can be found from the other two sides by making use of the Pythagorean theorem. It tells you the square of the hypotenuse is the sum of the squares of the other two sides:
c² = 4² +5²
c² = 16 +25 = 41
c = √41 ≈ 6.4
The missing side length is about 6.4 units.
if a clock shows it is 3 o'clock, how could you describe the smaller angle made by the two hands of the clock? Solve this problem any way you choose.
Answer: 5 1/4
Step-by-step explanation:
Answer:
90°
Step-by-step explanation:
The minutes hand is vertical pointing straight up.
The hours hand is horizontal pointing right.
The smaller angle between the hands is 90°.
A sampling distribution is a distribution of
A. Data values from a single sample
B. Sample means
O c. Population data values
© D. Variances
Answer:
sample means
Step-by-step explanation:
Point A, located at (5, -4) is reflected
in the y-axis, resulting in the location of point A'. Which of the following statements
iS true?
•Point A' Is located at (-5,-4)
• Point A' Is located ot (-5,4)
• Point A is located ot (4,5)
• Point A' Is located at (-4,5)
Answer: (-5, -4)
Step-by-step explanation:
Reflection across y axis flips the sign of x coordinate only
Answer:
the other person is probably correct!
Step-by-step explanation:
solve work by using square root method
[tex]~~~~(x-2)^2 = 16\\\\\implies x-2 = \pm\sqrt{16}\\\\\implies x-2 = \pm4\\\\\implies x= \pm4 +2\\\\\implies x=-4+2~~ \text{or}~~ 4+2\\\\\implies x = -2~~ \text{or}~~ 6[/tex]
Answer:
[tex]x = - 2[/tex]
[tex]x = 6[/tex]
Step-by-step explanation:
[tex](x - 2)^{2} = 16[/tex]
[tex]x - 2 = ± \: 4[/tex]
[tex]x - 2 = - 4[/tex]
[tex]x - 2 = 4[/tex]
[tex]x = - 2[/tex]
[tex]x = 6[/tex]
i need help please good people
Answer:
x/x+3
Step-by-step explanation:
first off, we start by factorizing.
we start with the numerator taking x out making it x (x-3) / x^2 - 9
then we factorize the denominator a bit more...making it x (x-3) / (x-3) (x+3)
as you can tell there is a (x-3) on both sides. so we can cross them out.
x/x+3 is left. try it yourself again so you can understand other questions like this! I hope I could help!
explain how to do this please!
Answer:
The area of figure = 600 cm ²
Step-by-step explanation:
Area of this figure = area of triangle + area of rectangle
Area of triangle = 1/2 × base × height
Area of rectangle = length× breadth
=> (1/2 × 20 × 20 ) + ( 20×20 )
=> 200 + 400
=> 600 cm²
M
27
1 point
The value of y is directly proportional to the value of x. If y=2/3 whenx=1/12 , what is the value of y when x = 1/2 ?
Step-by-step explanation:
Y is directly proportional to X" can be rewritten as a mathematical expression of the form Y = KX
"K" is the constant of proportionality and must be determined from the initial information.
If Y = 2/3 when X=1/12means 2/3=1/12
K = 2/3÷1/12 = 8
Now that we know the value of K, we can use it to calculate the value of Y when X=1/2
Y = (8)(1/2) = 8/2=4
Y=4
Dorothy works 40 hours per week. Her salary is $3,624.34. After deductions her pay is $2,718.26.
What is the net income?
The net income of Dorothy when she works 40 hours per week and her net pay is $2,718 monthly (4 week) is $17/ hour approximately.
How to interpret the division?When 'a' is divided by 'b', then the result we get from the division is the part of 'a' that each one of 'b' items will get.
Thus, if 10 mangoes are there, and 2 people, then 10 ÷ 2 is the number of mangoes each person would get, which is 5.
Division, thus, can be interpreted as equally dividing the number that is being divided in total x parts, where x is the number of parts the given number is divided.
Thus, [tex]a \div b = a[/tex] divided in b equal parts.
Also, we can write: [tex]a \div b = a \times \dfrac{1}{b}[/tex]
(it is since a = a times 1 so [tex]a/b = 1 \times (a/b) = (1/b) \times a[/tex])
For this case, we're given that:
Dorothy works 40 hours per weekThe final salary she gets after deduction is $2,718.26 (assuming this is monthly based salary, and each month having equal 4 weeks).Since there are 4 weeks in a month, and each week, Dorothy works 40 hours per week, so the number of hours she worked in those 4 weeks (one month work approx) is:
[tex]40+40+40+40 = 4 \times 40 = 160 \: \rm hours[/tex]
That means, Dorothy gets $2718.26 for 160 hours of work.
Thus, if we divide this salary in 160 parts equally, we'll get net hourly income of Dorothy, as shown below:
[tex]\text{1 hour's pay} = \dfrac{2718.26}{160}\approx 16.98 \approx 17 \: \rm dollars[/tex]
Thus, the net income of Dorothy when she works 40 hours per week and her net pay is $2,718 monthly (4 week) is $17/ hour approximately.
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What is the simplified expression for
44.4°?
49
40
41
42
43
Answer:
[tex]4^2[/tex]
Step-by-step explanation:
[tex]\dfrac{4^4 \cdot 4^3}{4^5}\\\\\\=\dfrac{4^{4+3}}{4^5}\\\\\\=\dfrac{4^{7}}{4^5}\\\\\\=4^{7-5}\\\\\\=4^2[/tex]
Answer:
4^2
Step-by-step explanation:
4^4*4^3=4^7
4^7/4^5=4^2
Multiple choice questions that’s why there’s 5 pictures
Answer:
option C is the answer
Step-by-step explanation:
hope this helps you
Please help!! Due in 15 minutes!!
Q.1. Which point is a solution to the system below?
y ≤ -2/3x - 4
y ≥ 1/5x - 3
A. (0, 3)
B. (-4, -2.5)
C. (-5, 0)
D. (-2, -4)
Q.2. Which point is a solution to the system of inequalities below?
A. (4, -9)
B. (2, -10)
C. all real numbers on y < -4x - 2
D. There is no solution to this system of inequalities
Q.3. Which statement is true about the system of inequalities below?
y ≤ 3x + 6
y > - x
I. The intersection point (-1.5, 1.5) is a solution to the system
II. The point (0, 0) is a solution to the system
III. The point (5, 5) is a solution to the system
IV. The point (-1, 6) is a solution to the system
A. I only
B. I and II only
C. III and IV only
D. III only
Answer:
aaaaaaaaaaaaaaaaa
Step-by-step explanation:
500 miles in April. He drove 5 times as many r
March. He drove 3 times as many miles in May
id Mr. Anderson drive in May?
Two angles are complementary. The larger angle is 46∘46∘ larger than the smaller angle. Find the measure of both angles, and separate your answers with a comma
Answer:
22, 68
Step-by-step explanation:
(Complementary means that the angles together equal 90 degrees)
x + x + 46 = 90
2x + 46 = 90
2x = 44
x = 22
22 + 46 = 68
In a ________, the researcher combines the actual results of a number of studies; the analysis consists of a set of statistical procedures that employ effect sizes to compare a given finding across many different studies.
In a meta analysis, the researcher combines the actual results of a number of studies.
What is the type of statistical study?Statistical study is used to obtain the data and examine this data in the way, that its effectiveness can be measured.
There are three main types of statistical study-
A. Experiment-In this type of statistical study, the observer or the researcher see the change in the variable of a study with change in other variable experimentally by providing the necessary conditions.B. Observational study-In the observational study of statistics, the value of the variables are recorded for different associates of the set.C. Survey-In the survey type of study, the data is gathered by directly asking the queries to the people regarding the study.When the researcher combines the actual results of a number of studies, then this study is called the meta analysis.
Here, in this analysis, he consists of a set of statistical procedures that employ effect sizes to compare a given finding across many different studies.
Thus, In a meta analysis, the researcher combines the actual results of a number of studies.
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Which three-dimensional figure has exactly three rectangular faces?
O rectangular prism
O rectangular pyramid
O triangular prism
• triangular pyramid
Answer:
Triangular prism
Step-by-step explanation:
Got it right on edge 2022 :)
The three-dimensional figure that has exactly three rectangular faces is a rectangular pyramid
What is the volume of a pyramid?The volume of a pyramid, is the product of the area of its base with the height of the pyramid, and divide by 3. We express this product with the formula V = ( 1/3) ×B×h, where B is the area of the base of the pyramid, and h is its height.
Volume of Pyramid = ( 1/3 )a²H
Given data ,
Let the pyramid be represented as A
Now , A rectangular prism has 6 faces, where each face is a rectangle.
A rectangular pyramid has 5 faces, where 4 faces are triangles and 1 face is a rectangle.
A triangular prism has 5 faces, where 2 faces are triangles and 3 faces are rectangles.
A triangular pyramid has 4 faces, where 3 faces are triangles and 1 face is a rectangle.
Hence , the only figure that has exactly three rectangular faces is a rectangular pyramid
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Does anyone know this correctly?
ed galaxy perimeter
Answer:
53 mm
Step-by-step explanation:
Perimeter is the sum of the lengths of all its sides.
Let the length of the unknown side be x mm.
123= 25 +45 +x
x= 123 -25 -45
x= 53
Thus, the unknown side is 53 mm.
A force of 61 N is applied to an area of 750 cm2. Calculate the pressure in N/m2. Give your answer to the nearest integer
Answer:
813 N/m²
Step-by-step explanation:
The units of pressure tell you it is found by dividing force by area. Here, we need to convert the units of the given area so we can express the pressure appropriately.
__
pressure = force / area
pressure = (61 N)/(750 cm² × ((1 m)/(100 cm))²) = (61 N)/(0.0750 m²)
pressure ≈ 813 N/m²
PLEASE HELP!!!
If f(x) = -2x^2 + x - 5, what is f(3)?
Answer:
f(3) = -10Step-by-step explanation:
Given
f(x) = -2x² + x - 5Solving
To find f(3), substitute x = 3 in the function⇒ f(3) = -2(3)² + (3) + 5⇒ f(3) = -2(9) + 8⇒ f(3) = -18 + 8⇒ f(3) = -10Answer:
f(3) = 6
Step-by-step explanation:
f(x)=2x^2 + x -5
f(3) = 2 (3)^2 + (3) - 5
f(3) = 8 + 3 - 5
f(3) = 11-5
f(3) = 6
Haha please help i don't know what I'm doing
Answer:
(5x+1)(x+7)
Step-by-step explanation:
4x^2+26x+6+x^2+10x
5x^2+36x+7
(5x+1)(x+7)
Prove
5x*x + 5x*7 + 1*x + 1*7
= 5x^2 + 35x + x + 7
= 5x^2 + 36x + 7