Answer:D
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
Which sequence represents an arithmetic sequence?
A −5, −7, −10, −14, −19, …
B 1.5, −1.5, 1.5, −1.5, …
C 4.1, 5.1, 6.2, 7.2, …
D −1.5, −1, −0.5, 0, …
Answer:
D
Step-by-step explanation:
We know that an arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is always constant.
−5, −7, −10, −14, −19, …
Here difference between -5 and -7 is -2
But difference between -10 and -7 is -3
⇒ Difference is not constant.
Therefore, this sequence does not represents an arithmetic sequence.
1.5, −1.5, 1.5, −1.5, …
Here difference between 1.5 and -1.5 is 3
But difference between -1.5 and 1.5 is 3
⇒ Difference is not constant.
Therefore, this sequence does not represents an arithmetic sequence.
4.1, 5.1, 6.2, 7.2, …
Here difference between 4.1 and 5.1 is 1
But difference between 6.2 and 5.1 is 1.1
⇒ Difference is not constant.
Therefore, this sequence does not represents an arithmetic sequence.
−1.5, −1, −0.5, 0, …
Here difference between -1.5 and -1 is 0.5
But difference between -1 and -0.5 is 0.5
⇒ Difference is constant.
Therefore, this sequence represents an arithmetic sequence.
plz mark brainliest
Answer:
D.−1.5, −1, −0.5, 0, …
Step-by-step explanation:
Find the surface area of the prism.
3cm, 4cm, 12cm, 5cm
90 cm2
150 cm2
156 cm2
96 cm2
Final Answer:
The surface area of the triangular prism is 156 cm².
Option C (156 cm²) is the correct answer.
Explanation:
To find the surface area of a triangular prism, you need to calculate the areas of all the faces and sum them up. The surface area will include the areas of:
- The two triangular bases, and
- The three rectangular sides.
Since the sides of the triangular bases are 3 cm, 4 cm, and 5 cm, and it is mentioned that they form a right triangle, we can consider those lengths to be the sides of a right-angled triangle where 3 cm and 4 cm are the perpendicular sides, and 5 cm is the hypotenuse. The length (height) of the prism is 12 cm.
1. Calculate the area of one triangular base:
The area of a right-angled triangle can be calculated using the formula:
Area = (Base * Height) / 2
In our case, the base and height correspond to the two sides that are perpendicular to each other, which are 3 cm and 4 cm, respectively:
Area_triangle = (3 cm * 4 cm) / 2
Area_triangle = 12 cm² / 2
Area_triangle = 6 cm²
Since there are two identical triangular bases, we double the area:
Total_area_triangles = 2 * Area_triangle
Total_area_triangles = 2 * 6 cm²
Total_area_triangles = 12 cm²
2. Calculate the area of the three rectangular sides:
Each rectangle side is formed by the length of the prism and one of the sides of the triangle. There are three sides, so we have three rectangles:
Rectangle 1 (Side a): Area = side_a * length = 3 cm * 12 cm = 36 cm²
Rectangle 2 (Side b): Area = side_b * length = 4 cm * 12 cm = 48 cm²
Rectangle 3 (Side c): Area = side_c * length = 5 cm * 12 cm = 60 cm²
Now sum the areas of the rectangles:
Total_area_rectangles = Rectangle 1 + Rectangle 2 + Rectangle 3
Total_area_rectangles = 36 cm² + 48 cm² + 60 cm²
Total_area_rectangles = 144 cm²
3. Sum up the areas of the triangular bases and rectangles to get the total surface area:
Total_surface_area = Total_area_triangles + Total_area_rectangles
Total_surface_area = 12 cm² + 144 cm²
Total_surface_area = 156 cm²
Therefore, the surface area of the triangular prism is 156 cm².
Option C (156 cm²) is the correct answer.
The volume of the cone
Answer:
150.8
Step-by-step explanation:
How many terms are in this polynomial?
Answer:
7 terms. number 2.
Step-by-step explanation:
Hope this helps!
What is the correlation for the data
Explanation of correlation coefficient, its significance in determining relationship strength between variables, and how to interpret its value.
The correlation coefficient provides a measure of how strongly two variables are related in a linear manner. It ranges from -1 to 1, where 1 represents a perfect positive correlation, -1 a perfect negative correlation, and 0 no correlation.
A correlation coefficient close to 1 or -1 indicates a strong relationship, while a coefficient close to 0 indicates a weak or no relationship. This numerical value helps determine how predictable changes in one variable are as the other variable changes.
Interpreting the correlation coefficient assists in understanding the strength and direction of the relationship between variables, aiding in making predictions or drawing conclusions based on the data's patterns.
A right triangle has sides of length 3, 4, and x .Find x if it is the hypotenuse
Work Shown:
a = 3 and b = 4 are the two legs
c = x is the unknown hypotenuse
Use the pythagorean theorem to solve for c
a^2 + b^2 = c^2
3^2 + 4^2 = c^2
9 + 16 = c^2
25 = c^2
c^2 = 25
c = sqrt(25)
c = 5
This question involves using the Pythagorean theorem to find the length of the hypotenuse of a right triangle. Given the lengths of the sides as 3 and 4, we find that the hypotenuse (denoted as 'x') is 5.
Explanation:The subject of this question is mathematics and it is related to finding the length of the hypotenuse of a right triangle using the Pythagorean theorem. In the case of this problem, the two sides of the triangle are given (3 and 4) and the hypotenuse (x) is what we are solving for.
The Pythagorean theorem is as follows: a² + b² = c². In this notation, a and b are the lengths of the two sides, and c is the length of the hypotenuse. Given that a is 3 and b is 4, to find out x (or c in the formula), we square each of those values (3² + 4²) and get 9 + 16, respectively. This means x² = 25, so the value of x (the hypotenuse) is √25, which equals 5.
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Fractions is equipment to 3/8
Answer:
Step-by-step explanation:
It is eqivilent to 37.5
I think you meant to say "equivalent" instead of "equipment"
To find equivalent fractions to 3/8, you would multiply top and bottom by the same number.
If we multiply the top and bottom by 5 for instance, then
3*5 = 15
8*5 = 40
So 3/8 is equivalent to 15/40
--------------
Another example: multiply top and bottom by 9
3*9 = 27
8*9 = 72
This means 3/8 is equivalent to 27/72
-------------
Now let's say you were asked if 15/40 was equivalent to 3/8
To check this, you would assume they are equal, then cross multiply like so
15/40 = 3/8
15*8 = 40*3 ... cross multiply
120 = 120
Since we end up with the same thing on both sides, we have confirmed that 15/40 = 3/8 is a true equation.
Can someone help please AC line ? Maximum 56 points.
Answer:
18.1 cm
Step-by-step explanation:
Consider a segment parallel to CD and passing through B.
This segment will form a right-angle triangle with A
It's length would be equal to the length of CD (the missing length)
Height of that triangle:
11 - 4 = 7
CD² = 16² - 7²
CD² = 207
CD = sqrt(207)
AC² = AD² + CD²
AC² = 11² + 207
AC² = 328
AC = 2sqrt(82)
Which is roughly 18.1 cm
Which expressions are equivalent to 4(4a+5)4(4a+5)4, left parenthesis, 4, a, plus, 5, right parenthesis ?
Answer:
If you solve it, it would be 16a+20, but which expressions are you talking about?
Answer:
Step-by-step explanation:
g(x) = 3x - 5 h(x) = 4x - 2 Find (g + h)(8)
Answer:
49
Step-by-step explanation:
g(x) = 3x - 5
h(x) = 4x - 2
(g + h)(8)
g(8) + h(8)
solve for g(8)
g(x) = 3x - 5
g(8) = 3(8) - 5
g(8)= 24-5
g(8)= 19
solve for h(8)
h(x) = 4x - 2
h(8) = 4(8) - 2
h(8)= 32-2
h(8)=30
plug in
g(8) + h(8)
19+30
49
Hope this helps!
Is x2 + 7x + 49 a perfect square trinomial?
Answer: yes it is a perfect square trinamial
The decay rate, k , for a particular radioactive element is 2.5%, where time is measured in years. Find the half life of the element. (Round to one decimal place)
Given a decay rate of 2.5% per year for a radioactive element, the half-life of this element, calculated using first-order kinetics, would be approximately 27.7 years.
Explanation:The question seeks to find the half-life of a radioactive element given a decay rate of 2.5% per year. To solve this, we need to utilize the concept of first-order kinetics which is used to model radioactive decay.
First, we express the decay rate as a decimal, thus 2.5% is 0.025. To find the half-life or T1/2, we can make use of the formula T1/2 = ln(2) / k, where k is the decay constant or rate.
By inserting the values into this formula, it would be T1/2 = ln(2) / 0.025 which gives us approximately 27.7 years (rounded to one decimal place) as the half-life of the given radioactive element.
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The half-life is 27.7 years.
Half-life is the time required for half of the radioactive atoms to decay in a sample. In this case, the decay rate k = 2.5% is equivalent to 0.025 in decimal form.
By using the formula t1/2 = ln(2) / k, we can calculate the half-life.
Plugging in k = 0.025,
t1/2 = ln(2) / 0.025
= 27.7 years.
Therefore, the half-life of the element is approximately 27.7 years.
Complete Question:
The decay rate, k, for a particular radioactive element is 2.5%, where time is measured in years. Find the half-life of the element.
The half-life is ___ years. (Round to one decimal place as needed.)
Vince has a dog washing business .he washed 8 dogs and earned a total of 119.92 how much doe he charge per dogs?
Answer:
14.99
Step-by-step explanation:
119.92/8
How much does Troy pay for health insurance
each week?
Answer:
28.75
Step-by-step explanation:
15 + 8+ 8 + 5+ 2= 38%
Net pay = 100 - 38 = 62%.
100- 5 = 95%
575 times 95%= 546.25.
575 - 546.25= 28.75.
The ship Mark travels from Halo dock to Oregon dock in Liverpool. At the same time, a ship called Annie travels from Oregon dock to Halo dock. Annie is 12MPH faster than Mark. They pass by each other 15 minutes after departure. (A) What are the speeds of the ships, if the docks a 5 miles apart (B) How far did each ship sail before they met? (Mind the units)
Answer:
A) Mark speed = 7mph Annie speed is 1.2miles faster at 8.2mph
B) Mark had sailed ratio to Annie 17.5: 20.5
= 3mph faster in 15 minutes This makes it 12mph faster every 5 hrs
The percentage speed of Mark is 83% of 100% of Annie.
This makes Annie 7% faster
7% of 7mph = 1.2 so it has to be 1.2miles faster and not 12mph faster to meet at 15minutes.
Step-by-step explanation:
Annie is 12mph faster they pass 15mins after departure
= 0-15= Annie is 4mp faster than Mark at 15mins.
Annie = 5 miles = m+60m = 60 this makes mark 5.6 : 6 ratio per 15 minutes 28:30 = 1.4 : 1.5 ratio at 15 minutes.
Mark = 5 miles = 5 x 1.4 =7mph + 0m = 7mph
Annie = 5 miles = 5 x 1.5 = 7.5mph + 7 = 8.2mph
A=We can check that 1/4 of 8.2mph distance = 2.5 per 15mins
M=We can check that 1/4 of 7.0mph distance = 1.75 per 15mins
A=We can check that 2.05 per 15mins = 2.5 x 4 = 8.2 mph = 41miles in 5 hr
M=We cna check that 1.75 per 15mins = 1.7 x 4 x 5= 7mph = 35 miles every 5hr
PLEASE HELP WILL GIVE MOST BRAINLIEST!!!!
Answer:
48 ft cubed or 576 in cubed
Step-by-step explanation:
The volume of the water is 2304 in cubed. you multiply 12 in by 24 in by 8 in.
the rock makes the water go up 2 in. You then multiply 12 in by 24 in by 10 in. This will equal 2880 in cubed.
2880-2304=
576 in. cubed or 48 ft. cubed
If r(x) = 4x2 – 3x + 7, find r(3a2)
Look at the attached picture⤴
Look at the attached picture⤴Hope it will help u....:)
A copy machine makes 19 copies in 3 minutes and 15 seconds. How many copies does it make per minute?
Answer:
5 copies
Step-by-step explanation:
19 ÷ 195
answer x 60
Answer:
10.26secs
Step-by-step explanation:
Let's start by converting 3minutes 15seconds to second
How
60secs=1min
Xsec=3mins
Let's cross multiply
x=60×3
X=180secs
180+15
195secs
So 19 copies=195 secs
1copy=x sec
Cross multiply
19x=1×195
19x=195
Divide both sides by 19
X=10.26secs
What is the missing angle measure?
Answer:
33 degrees
Step-by-step explanation:
Because of the little square in the corner of the triangle, you know that that angle is 90 degrees. Since the second angle is 57 degrees and all of the interior angles of a triangle add up to 180 degrees, the final angle is 180-90-57=33 degrees. Hope this helps!
Answer:
33
Step-by-step explanation:
the interior angle measure of all triangles is 180
you add the right and (90 degrees) to the 57 and subtract that from 180
this will get you 33
Which shapes make up this composite figure?
VX
a cylinder and a cone
a cylinder and two cones
a half sphere, a cylinder, and a cone
a sphere and a cylinder
Answer:
Answer is "A cylinder and two cones"
Step-by-step explanation:
Answer:
its d
Step-by-step explanation:
a pair of dice is rolled, what is the probability of not rolling doubles?
Answer: There are only four ways. As a result, the probability is 4/36, or 1/9.
Step-by-step explanation: There are 36 possible ways to roll a pair of six-sided dice: six possibilities for the first die, times six for the second.
Answer:
here are only four ways. As a result, the probability is 4/36, or 1/9.
Step-by-step explanation:
What in between 7/16 and 9/16
Answer:8/16
Step-by-step explanation.
We have two numbers 7/16 and 9/16. Since they both have the same denominator, and the numerators are 7 and 9. The number between 7 and 9 is 8 which gives 8/16
Use the net to find the surface area of the prism.
___ ft squared
Answer:
I think it is 216 square feet.
Step-by-step explanation:
Formula for surface area is: 2B + Ph (where B is the area of the base, h is the height and P is the perimeter of the base)
2 * 60 + 32 * 3
120 + 96
216 ft
[URGENT PLEASE HELP]
Which property is being used? 4.5 • (-1 • -6) [Distributive, Commutative, Associative, or Additive Inverse?]
Answer:
Line 1 Associative Additive inverse
Line 2 Associative, Additive inverse within brackets only and distributive.
Line 3 Associative
Line 4 is the Associative answer to 1
Step-by-step explanation:
Whilst we divide negative numbers as an inverse multiplication.
Where 4.5 x a negative 4 of the sum -1 would decrease by 2 decimals to 0.04 and so would the 5, they become additive inverse.
They can only be distributive if there are 2 multipliers.
What is the greatest common factor of 72
and 18?
Answer: 2, and 33
Step-by-step explanation:
Answer:
the greatest common factor is 18
3. The ratio of the side lengths of a parallelogram is 5:8, and its perimeter is 78 inches. What is the length
of the longer side?
Length of Long Side =
Answer: 48
5+8=13
78 divided by 13 equals 6
6 x 8(long side)=48
Step-by-step explanation:
Find the two angles that satisfy the equation. sin(3x + 2)° = cos(x+44)°
Answer:
x=21
Step-by-step explanation:
3x+2=x+44
3x+2-2=x+44-2
3x=x+42
3x-x=x+42-x
2x=42
42/2x
Answer:
35°, 55°
Step-by-step explanation:
sin(3x + 2)° = cos(x+44)°
Since sine and cosine are based upon right triangles, the two angles must add up to 90°. Thereby, 3x+2 + x+44 = 90. Combine like terms to get:
4x + 46 = 90 subtract 46 from both sides
-46 -46
4x = 44 divide both sides by 4
4 4
x = 11 plug that back into both angles
3(11) + 2 = 35; 11 + 44 = 55
Rechel is paid $11 for every hour at her dog walking job she is also get tip.she earned a total of $73 for 6 hours of work.how much was her tip?
Answer:
So you would think 6 hours= 11$ so 6x11=66 now 73-66= 7 so her tip was 7 dollars
please mark me brainliest
Step-by-step explanation:
Answer:
1.16
Step-by-step explanation:
she earned 66 dollers the hour then she got and extra 1.16 for tip the hour and 7 dollers of tip the whole 6 hours
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Evaluate 2a + 4b
if a = 10 and b = 6
Answer:
44
Step-by-step explanation:
Answer:44
Step-by-step explanation:
2(10)+4(6)
20+24
=44
3. Find the mean and the median of this data set: 9,6,5, 3, 28, 6, 4, 7.
Answer:
Mean= 8.5
Median= 6
Step-by-step explanation:
3,4,5,6,6,7,9,28
Median= Middle (If two middle number, add and divide by 2)
Mean= (3+4+5+6+6+7+9+28) ÷8