illustrate the 7th pattern of the sequence of square numbers?
Answers
Answer:
Sure, the 7th pattern of the sequence of square numbers is:
1, 4, 9, 16, 25, 36, 49, ...
To illustrate this pattern, we can draw squares with each side equal to the next number in the sequence, starting with a square of side length 1. The first square would have an area of 1 square unit, the second square would have an area of 4 square units, and so on. Here is a visual representation of the first seven squares in the sequence:
+---+ +----+
| 1 | | |
+---+ | |
+----+
+---+ +----+
| | | |
| | | |
+---+ +----+
| |
| |
+----+
+---+ +----+
| | | |
| | | |
+---+ +----+
| |
| |
+----+
+---+ +----+
| | | |
| | | |
+---+ +----+
| |
| |
+----+
+---+ +----+
| | | |
| | | |
+---+ +----+
| |
| |
+----+
+---+ +----+
| | | |
| | | |
+---+ +----+
| |
| |
+----+
+---+ +----+
| | | |
| | | |
+---+ +----+
| |
| |
+----+
The pattern continues on with the next square having a side length of 8 units, and an area of 64 square units.
Related Questions
Don't know, could someone help me!!
Answers
Answer:
\(\boxed{A=1~~\land~~B=-4}\)
Step-by-step explanation:
I use formulas:
\(\boxed{\dfrac{x^{n} }{x^{m} } =x^{n} \div x^{m} =x^{n-m} }\)
\(\dfrac{t^{2} }{t^{6} } =t^{2}\div t^{6}=t^{2-6}=\boxed{t^{-4}}\\\\t^{-4} =1\cdot t^{-4} ~~\land~~At^{B} ~~\Rightarrow ~~A=1~~\land~~B=-4\)
what is the area of the figure
Answers
Answer:
A = 2184 cm²
Step-by-step explanation:
the area (A) of the figure is calculated as
A = \(\frac{1}{2}\) h(b₁ + b₂)
where h is the perpendicular height between the bases b₁ and b₂
here h = 42 , b₁ = 52 , b₂ = 52 , then
A = \(\frac{1}{2}\) × 42 × (52 + 52) = 21 × 104 = 2184 cm²
Answer:
A = 2184 cm2
Step-by-step explanation:
Area of a parallelogram:
\(A = b*h\)
\(b=52,h=42\)
\(A=(42)(52)=2184cm^{2}\)
Hope this helps.
Given that
\(\sqrt{2p-7}=3\)
and
\(7\sqrt{3q-1}=2\)
Evaluate
\(p + {q}^{2} \)
Answers
Answer:
Below
Step-by-step explanation:
The two given expressions are:
● √(2p-7) = 3
● 7√(3q-1) = 2
We are told to evaluate p+q^2
To do that let's find the values of p and q^2
■■■■■■■■■■■■■■■■■■■■■■■■■■
Let's start with p.
● √(2p-7) = 3
Square both sides
● (2p-7) = 3^2
● 2p-7 = 9
Add 7 to both sides
● 2p-7+7 = 9+7
● 2p = 16
Divide both sides by 2
● 2p/2 = 16/2
● p = 8
So the value of p is 8
■■■■■■■■■■■■■■■■■■■■■■■■■■
Let's find the value of q^2
● 7√(3q-1) = 2
Square both sides
● 7^2 × (3q-1) = 2^2
● 49 × (3q-1) = 4
● 49 × 3q - 49 × 1 = 4
● 147q - 49 = 4
Add 49 to both sides
● 147q -49 +49 = 4+49
● 147q = 53
Divide both sides by 147
● 147q/147 = 53/147
● q = 53/ 147
Square both sides
● q^2 = 53^2 / 147^2
● q^2 = 2809/21609
■■■■■■■■■■■■■■■■■■■■■■■■■
● p+q^2 = 8 +(2809/21609)
● p+q^2 = (2809 + 8×21609)/21609
● p+q^2 = 175681 / 21609
● p + q^2 = 8.129
Round it to the nearest unit
● p+ q^2 = 8
h(a) = -a^3 - 2ag(a) = 4a + 3Find h(a) - g(a)
Answers
Given the equation, proof it
Answers
Answer:
Step-by-step explanation:
I forgot to add the last reason is AAS (two angles one side are congruent = triangles are congruent)
S.
1.Given
2. AE = EC
3. <AEB = <CED
4. <CDE = <ABE
5. triangles congruent
R.
1. Given
2. Segment bisector theorem
3. Vertical angles theorem
4. PAI Theorem
Hope this helps!
Sample Responses Label axes according to input
and output variables. Plot the ordered pair of the
independent and dependent variable on the
coordinate plane. Identify if there is a relationship
Which of the following did you include in your
response?
O Label the x-axis the input variable, age.
O Label the y-axis the output variable, texting speed.
O Plot the points according to age and texting speed.
O Identify a relationship between the change in
texting speed as age increases.
Answers
The following elements were included in the response: labeling x-axis as age, labeling y-axis as texting speed, plotting points according to age and texting speed, and identifying a relationship between texting speed and age.
In the response, the following elements were included:
1. Labeling the x-axis as the input variable, age: This is important to indicate the independent variable being plotted.
2. Labeling the y-axis as the output variable, texting speed: This is crucial to indicate the dependent variable being represented.
3 Plotting the points according to age and texting speed: This involves placing the ordered pairs (age, texting speed) on the coordinate plane, with age values on the x-axis and texting speed values on the y-axis.
4. Identifying a relationship between the change in texting speed as age increases: By analyzing the plotted points and examining the pattern or trend, one can determine if there is a relationship between age and texting speed. For example, if the texting speed generally increases as age increases or if there is a linear or nonlinear relationship between the two variables.
Including all of these elements allows for a comprehensive analysis of the relationship between age and texting speed, providing a visual representation and enabling the identification of any patterns or trends.
Know more about nonlinear relationship here:
https://brainly.com/question/27956555
#SPJ8
(x+1)(x+1) show work
Answers
Answer:
Step-by-step explanation:
x^2 + 2x + 1
What is the area of the square that measures 3.1 m on each side
Answers
The area of the square with a side length of 3.1 meters is 9.61 square meters.
To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.
Area of a square = side length × side length
Substituting the given side length into the formula:
Area = 3.1 m × 3.1 m
To perform the calculation:
Area = 9.61 m²
It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.
Remember, to find the area of any square, you simply need to multiply the length of one side by itself.
The area of the square with a side length of 3.1 meters is 9.61 square meters.
For more such questions on square
https://brainly.com/question/27307830
#SPJ8
Write the equation in standard form (ax + by = c) using only integers for the line described. Passing through (-4, 2) and parallel to y = -3/2x +1
Answers
Answer:
Explanation:
The point-slope form of an equation is given by
\(y-y_0=m(x-x_0)\)where (x0, y0) is a point on the line and m is the slope.
A line that is parallel to y = -3/2 x +1 has the same slope, namely -3/2; therefore, we know that our equation must look like
\(y-y_0=-\frac{3}{2}(x-x_0)\)where (y0, x0) is a point hitherto unknown.
Furthermore, we also know that the line passes through the point (-4, 2) and therefore, we set (x0, y0) = (-4, 2) - this gives
\(y-2=-\frac{3}{2}(x+2)\)which is our equation in point-slope form. However, we are asked to convert it into the standard form.
Expanding out the right-hand side gives
\(y-2=-\frac{3}{2}x-3\)adding 3/2 x to both sides gives
\(y+\frac{3}{2}x-2=-3\)Finally, adding 2 to both sides gives
\(y+\frac{3}{2}x=-3+2\)\(y+\frac{3}{2}x=-1\)which is our answer!
Approximate -10 + √30 to the nearest tenth.
O-5.5
O-4.5
04.5
O5.5
Answers
Answer:
(b) -4.5
Step-by-step explanation:
Choosing the correct answer here is not the same as knowing what the correct value is.
EstimateYou know that √30 < √100 = 10, so the sum must be negative. That is, 10 subtracted from a positive number less than 10 will give a negative result.
You know that 25 < 30 < 36, so √25 < √30 <√36. That is, √30 will be between 5 and 6. If we say √30 ≈ 5.5, then the sum is ...
-10 +√30 ≈ -10 +5.5 = -4.5
__
Additional comment
Of course, a calculator can tell you the value to the desired precision.
Write the equation in slope intercept form for the line that passes through the point (0,-3) with slope -1/2.
Answers
Answer:
y = -1/2x - 3
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
Step 1: Determine known variables
Slope = -1/2 (m = -1/2)
y-intercept - (0, -3), so b = -3
Step 2: Write in known variables
y = -1/2x - 3
Answer:
y = -1/2 - 3
Step-by-step explanation:
Well slope intercept is y = ax + b
ax is the slope which is given,
b is the y intercept which is -3 because the point (0,-3)
doesn’t have a x coordinate meaning if the line goes through that point it touches the y intercept at -3.
Thus,
the equation in slope-intercept is y = -1/2 - 3.
Hope this helps :)
What number can be placed in the box to make this statement true?
If +7=10, then 10-7 = 0.
02
O 3
04
O 5
Answers
Answer: the number that can be placed in the box to make the statement true is 3.
Step-by-step explanation:
To make the statement true, we need to find a number that, when added to 7, equals 10. From the given options, the number that satisfies this condition is 3.
If we substitute 3 for the box in the statement, it becomes:
If +7=10, then 10-7=3.
Write x^2 - 8x + 10 in the form
(x + a)^2 + B
Answers
\(x^2-8x+10=x^2-8x+16-6=(x-4)^2-6\)
Chay is buying mulch for the zoo's summer flower beds. She has enough in her budget to purchase 55 bags of mulch. If there are 20 flower beds, how many bags of mulch can be used in each flower bed?
Answers
Chay can use 3 bags of mulch per flower bed.
Chay is buying mulch for the zoo's summer flower beds. She has enough in her budget to purchase 55 bags of mulch. If there are 20 flower beds, how many bags of mulch can be used in each flower bed?The number of bags of mulch that can be used in each flower bed can be found by dividing the total number of bags of mulch by the number of flower beds, as given by the problem.Let X be the number of bags of mulch used in each flower bed. Then, the following equation can be written:Total number of bags of mulch = X × number of flower beds (20)Or, 55 = 20XDividing both sides of the equation by 20, we get: X = 55/20X = 2.75.Therefore, Chay can use 2.75 bags of mulch in each flower bed. However, since we cannot have a fraction of a bag of mulch, she would have to round up to 3 bags of mulch per flower bed to ensure each flower bed has enough mulch.
For more such questions on flower
https://brainly.com/question/30256774
#SPJ8
Find the sum (9 + 6) (mod 10)
Answers
Answer:
15d10mo
Step-by-step explanation:
Simplify:
(9+6)(mod10)
=15d10mo
On a circle, a line is drawn from the origin to A(-3,4). The angle Ø is between the line and the x- axis. Find Cos Ø
Answers
Therefore,
\(\cos \phi=\frac{Adjacent}{\text{hypotenuse}}\)But, we do not have the dimension for the hypotenuse, In order to find the hypotenuse, we need to apply the Pythagorean theorem
Hence,
\(\begin{gathered} \text{Hyp}^2=opp^2+adj^2 \\ \text{hyp}^2=4^2+3^2 \\ \text{hyp}^2=16+9 \\ \text{hyp}^2=25 \\ \text{hyp}=\sqrt[]{25} \\ =5 \end{gathered}\)Therefore,
\(\cos \phi=\frac{3}{5}\)
solve for x 4x+15=71
Answers
Answer:
x=14
Step-by-step explanation:
4x +15 =71
4x =71 - 15
4x =56
x=56 :4
x=14
4 ×14 +15 =71
56 +15 =71
71 =71
Answer: X=14
Step-by-step explanation: Plug 14 in for x. 4*14 equals 56. 56+15 equals 71. and 71=71.
WILL GIVE BRAINLIEST + MAX POINTS!!!
Sara is working on a Geometry problem in her Algebra class. The problem requires Sara to use the two quadrilaterals below to answer a list of questions. Part A: For what one value of are the perimeters of the quadrilaterals the same? (Hint: The perimeter of a quadrilateral is the sum of its sides.) Part B: For what one value of are the areas of the quadrilaterals the same? (Hint: The area of a quadrilateral is the product of its base and height.) Please help me outtt!
Answers
HELLO
I NEEDED HELP WITH THE SAME QUESTION SO I PUT IT UP WITH A PIC SO U CAN ALSO GET AN ANSWER FROM THERE
HERE YA GO <3
https://brainly.com/question/24188218?referrer=searchResults
Answer:
heyy i did this problem a while ago and got kinda stuck on it
I GIVE BRAINLIEST!!! Derek wants to save up for a new baseball glove. The price of the glove with tax is $385. If he can save $65 per month , how many months will it take him to save up for the glove?
Answers
Answer:
6
Step-by-step explanation:
385/65= about 6 but technically its like 5.92307...
Step-by-step explanation:
Price of glove with tax = 385
Money saved per month = 65
Months needed for Derek to save enough money
= 385/65
= 5.923 months
1. Socks are on sale at 10% discount. What is the sale price of a pair of socks originally
marked #125.00?
Answers
Answer:
10/100 = x/125
1250 = 100x
1250/100 = 100x/100
12.5 = x
125 - 12.5 = 112.5
the sale price is $112.5
900 employees had put their names in a lucky draw. When the lucky numbers were drawn. The first draw eliminated 20% of the people, the second draw eliminated 30% of the remaining people and the third draw eliminated exactly one third of the remaining people. How many people were eliminated in the third draw?
Answers
Answer: in the third draw 33.33% people eliminated.
Step-by-step explanation:
7. In January, a small business had a profit of $6. In
February, the company lost $9. What was the
company's total profit or loss for January and February?
Answers
Answer:
The company lost 3 dollars
9-6= (-3)
Step-by-step explanation:
a lemonade recipe calls for 6 gallons of water how many quarts of water are needed for the recipe
Answers
Answer:
24 quarts
Step-by-step explanation:
1 gallon = 4 quarts. 6 gallons x 4 = 24
Help me with this please
Answers
Answer:
6
Step-by-step explanation:
The question indicates that the triangles are similar. The sides of FGH are 12, 15, and 20. The measured side of MNP is 10, which is 1/2 of 20. So since NM is the shortest side, it corresponds to the shortest side of FGH, which is 12. 1/2 of 12 is 6.
Please let me know if you have questions.
pls help will give brainliest to best answer
Answers
Answer:
y=250x-4
Step-by-step explanation:
If y represents the amount of money made in a week, y=250.
If x represents the amount of cakes that are made, x=?
You make $250(y) a week, you then spend $4(x) per cake, this would make the equation:
y=250x-4
Order the fractions and decimals from least to greatest.
0.65,
3
5
, 0.85,
7
10
The numbers in order from least to greatest are
Answers
Answer:
3/5 0.65 7/10 0.85
Step-by-step explanation:
3/5 is .06 and 7/10 is 0.7
i need to know what is y and the work
Answers
-3
5y=15
divide by 5
y=3
Answer:
y = 3
Step-by-step explanation:
5x3=15, 15+3 =18
which equation could be used to find the area of the circle in this sticker with a diameter of 6 centimeters
50 points for correct answer
(couldn't get a pick of it but heres a drawing)
Answers
Answer:
equation A is correctStep-by-step explanation:
because formula for area of circle is πr²r = 6cm
so area = 6²π
MARK ME AS BRAINLISTfind the area? need help guys!!
Answers
The first sequence follows the rule add 5. The second sequence follows the rule add 3. Both sequences start from 2. Select the option that correctly shows the first 5 terms for each sequence. Question 1 options: First sequence: 2, 7, 12, 17, 22 and second sequence: 2, 5, 8, 11, 14 First sequence: 0, 5, 10, 15, 20 and second sequence: 0, 2, 4, 6, 8 First sequence: 2, 6, 10, 14, 18 and second sequence: 2, 5, 8, 11, 14 First sequence: 2, 7, 12, 17, 22 and second sequence: 2, 6, 10, 14, 18