Answer:
Seventh term is 64
Sum of the first seven terms is 127
Step-by-step explanation:
The common ratio is 2
[tex]a_{n} = a_{1} r^{n - 1}[/tex]
n = 7 and the first term is 1. So,
[tex]a_{7} = 1(2^{7 - 1} ) = 2^{6} = 64[/tex]
Seventh term is 64
[tex]S_{n} = \frac{a_{1} (r^{n} -1)}{r - 1}[/tex]
[tex]S_{7} = \frac{1(2^{7} -1)}{2 - 1}[/tex]
[tex]= \frac{128 - 1}{1} = 127[/tex]
Sum of the first seven terms is 127
A wooden plank is 424cm long.
50% of it is cut off.
How long is the plank now?
Answer:
214cm long of wooden plank
y=x+11
-4x+2y=22
(select the correct answer for the solution to the following system of equations)
A: (0,11)
B: (-2,5)
C: infinite solutions
D: no solution
the answer is
A.(0,11)
hope that helped
If M (4.2) is the midpoint of AB and A (-5, -3), find the coordinates of B.
Given:
M(4,2) is the midpoint of AB and A(-5, -3).
To find:
The coordinates of B.
Solution:
Let the coordinates of point B are (a,b).
Midpoint formula:
[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]
M(4,2) is the midpoint of AB and A(-5, -3).
[tex]M=\left(\dfrac{-5+a}{2},\dfrac{-3+b}{2}\right)[/tex]
[tex](4,2)=\left(\dfrac{-5+a}{2},\dfrac{-3+b}{2}\right)[/tex]
On comparing both sides, we get
[tex]4=\dfrac{-5+a}{2}[/tex]
[tex]8=-5+a[/tex]
[tex]8+5=a[/tex]
[tex]13=a[/tex]
And,
[tex]2=\dfrac{-3+b}{2}[/tex]
[tex]4=-3+b[/tex]
[tex]4+3=b[/tex]
[tex]7=b[/tex]
Therefore, the coordinates of point B are (13,7).
I need help PLEASE !!!! Write a cosine function that has an amplitude of 2, a midline of 4 and a period of 4.
Answer:
[tex]\mathbf{y = 2cos ( \dfrac{\pi}{2}(x - 0) + 4}[/tex]
Step-by-step explanation:
The standardized cosine function is ;
[tex]\mathbf{y = Acos (Bx + C) +D}[/tex]
Amplitude |A| = 2
Period [tex]\dfrac{2 \pi}{B }= 4[/tex]
2π = 4B
[tex]B = \dfrac{2 \pi}{4}[/tex]
[tex]B = \dfrac{\pi}{2}[/tex]
Midline y = 4; D = 4
Phase shift; since no phase shift is given; then C = 0
The cosine function: [tex]\mathbf{y = 2cos ( \dfrac{\pi}{2}(x - 0) + 4}[/tex]
WHAT VALUE ARE SOULTIONS TO X<7
Answer:
h M dan MB URL e5kei5
Step-by-step explanation:
h NBC qy2 il e5jrs
A pyramid has a rectangular base with edges of length 10 and 24. The vertex of the pyramid is directly 13 units above the center of the base. What is the: Total surface area of the pyramid?
Answer:
10 x 24 x 13 = 3120?
Step-by-step explanation:
I hope this is right!
Answer:
[tex]10\sqrt{313} +24\sqrt{194}+240[/tex] square units
Step-by-step explanation:
If your base is 10x24, and the vertical height is 13, you first have to find the slant height of the pyramid, in other words, calculate the hypotenuse of the triangles constructed using the height and the base divided by 2. You will need to find two slant heights as the base is not square. If you look at that image, the slant heights are marked in blue, and the specific measurements know are given in red. Using that, we can apply the Pythagorean theorem to determine the slant heights, which are [tex]\sqrt{194}[/tex] and [tex]\sqrt{313}[/tex], then we need to calculate the area of each triangular face. Thus they are [tex]5\sqrt{313}[/tex] and [tex]12\sqrt{194}[/tex], but there are two identical faces in the pyramid, which means we should double the area of the faces to achieve [tex]10\sqrt{313} +24\sqrt{194}[/tex], then we need to simply add the base as it's a face. So the answer is [tex]10\sqrt{313} +24\sqrt{194}+240[/tex]
Is ATAG-ABAG? If so, identify the similarity postulate or theorem that
applies.
10
G
B
A. Similar - AA
B. Similar - SSS
C. Similar - SAS
D. Cannot be determined
Answer: it’s D
Step-by-step explanation:
The correct postulate or theorem that applies is,
D. Cannot be determined
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Since, We have to given that,
Side AG = 10 units
And, ∠AGT ≅ ∠AGB.
Thus, options A and B are discarded.
Now, As for the SAS criteria, we need two sides to be congruent and their included angles to be congruent.
But, as no other information is given, we cannot determine whether the given triangles are congruent or not.
Hence, option D is correct.
Learn more about the triangle visit;
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1.p + 8 = 14.1 *hgtyyytghg
Answer:
Let's solve your equation step-by-step.
p+8=14.1
Step 1: Subtract 8 from both sides.
p+8−8=14.1−8
p=6.1
Answer:p=6.1
H(x)=(x+5) ^2
If we solve h(x) = 36, one of the possible values of x is 1
What is the other possible value of x?
Find the total surface area
Answer:
47
Step-by-step explanation:
9+9+9+9+7+7
forgive me if i am wrong
Answer:
147 cm^2
Step-by-step explanation:
To find the surface area, you would have to add up the area of all shapes:
Area of triangle: 1/2 base*height
Area of square: length*width
----------
square = l*w = 7*7 = 49 cm^2
----------
So since there are 4 triangles, you would have to multiply the result by 4.
triangle = 1/2 7*9 = 49/2 = 24.5
4 triangles = area of 1 triangle * 4 = 4(24.5) = 98 cm^2
----------
add them up, and you get 49 + 98 = 147 cm^2
I need help on this and please explain to
Answer:
[tex]\displaystyle m=-0.2[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (-10, 6) → x₁ = -10, y₁ = 6
Point (-15, 7) → x₁ = -15, y₁ = 7
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [Slope Formula]: [tex]\displaystyle m=\frac{7-6}{-15+10}[/tex][Fraction] Subtract/Add: [tex]\displaystyle m=\frac{1}{-5}[/tex][Fraction] Convert: [tex]\displaystyle m=-0.2[/tex]We will be using the above formula. The answer will be a bit rough.
Okay. So our two points are (-10, 6) and (-15, 7). The number first in the brackets is always the 'x' variable while the second number in the bracket is always the 'y' variable. I will be using ² instead of the bottom 2 (As shown in the formula).
x = -10 x² = -15
y = 6 y² = 7
7 - 6
m = ———
- 15 - (-10) = -15 + 10
1
m = ——— OR - 0.2
- 5
OFFERING BRAINLIEST !! Using the formula, compute the true annual interest rate to the nearest tenth.
[tex]Interest (I) = \frac{2yc}{m(n+1)}[/tex]
Loan amount = $9,500
Monthly payments = $227.50
Time of loan contract = 5 years
Interest rate = ____%
Answer:
Step-by-step explanation:
5x12=60
(227.5x5x120)=13650
13650-9500=4150
apply formula
(2x12x4150)/((13650(60+1))=0.1196
0.1196x100=11.96% 0r 12%
Answer:
17.2%
Step-by-step explanation:
given that:
y = 12 months
m = $9,500
n = 60 (because five years is 60 months)
c = (n * $227.50) - m
= (60 * $227.50) - $9,500
c = 4,150
and now, to substitute the following to the equation:
[tex]\frac{2(12)(4,150)}{9,500(61)} *100[/tex] = 17.2%
The small piston of a hydraulic press has an area of 2.0 cm^2 and the large piston has an area of 16 cm^2. If the small piston has a force of 4.0 N applied to it, the output force of the large piston is ____? A.) 0.50 N B.) 2.0 N C.) 8.0 N D.) 32 N
Answer:
32N
Step-by-step explanation:
Given data
A1= 2cm^2
A2= 16cm^2
F1= 4N
F2=???
Applying the formula
Presure= force/area
P=F/A
F1/A1=F2/A2
substitute
4/2= F2/16
cross multiply
F2= (16*4)/2
F2= 64/2
F2= 32N
Hence the output force is 32N
A school held a kiddie carnival to raise money for the PTA. Admission for adults was $8, and admission for children was $5. In the end, 87 people attended the carnival, and they raised $468. How many adults attended the carnival? B. 11 C. 23 D. 64 E. 76
Answer:
B. 11
Step-by-step explanation:
Set up a system of equations where a is the number of adults and c is the number of children
a + c = 87
8a + 5c = 468
Solve by substitution by rearranging the first equation, then substituting it in the second equation:
a = 87 - c
Substitute this for a in the second equation, then solve for c:
8(87 - c) + 5c = 468
696 - 8c + 5c = 468
696 - 3c = 468
-3c = -228
c = 76
Then, plug this into the first equation to solve for a:
a + c = 87
a + 76 = 87
a = 11
So, 11 adults attended the carnival.
The correct answer is B, 11
Identify the sequence of transformations that maps ABCD to JKLM.
A) reflection across x-axis, and then translation (x − 2, y + 10)
B) reflection across y-axis, and then translation (x − 2, y + 10)
C) reflection across x-axis, and then translation (x + 2, y − 10)
D) reflection across y-axis, and then translation (x + 2, y − 10)
Answer:
The answer is below
Step-by-step explanation:
The question is not complete, no diagram is attached, but I would show how to solve it.
Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.
If a point A(x, y) is reflected across the x axis, the new point is at A'(x, -y).
If a point A(x, y) is reflected across the y axis, the new point is at A'(-x, y).
If a point A(x, y) is translated a units up and b units right, the new point is at A'(x + a, y + b).
If a point A(x, y) is translated a units down and b units left, the new point is at A'(x - a, y - b).
4x=-20 solve for x show your work
Answer: x = 5
Step-by-step explanation:
Answer:
x = -5
Step-by-step explanation:
We have the expression 4x = -20 and are asked to solve x.
To solve, we need to isolate x.
4x = -20
Divide 4 :
x = -5
one and sixty three hundreths in decimal form.
Answer:
1.63
Step-by-step explanation:
Answer:
1.63
Step-by-step explanation:
Please help quickly! have to turn in, in 26 minutes!!
Answer:
the subject of the story
help need help ASAP
super hard? free brainly
Answer:
I think that is false, tell me if im wrong if you can
Answer:
Step-by-step explanation:
False I think.
can someone please help? I'm sorry I don't have a lot of points to offer. I'm running out of points
Answer:
80 degrees
Step-by-step explanation:
The 132-deg angle is an exterior angle of the left triangle.
The 52-deg angle is a remote interior angle to the exterior angle above.
Angle VZY is also a remote interior angle to the exterior angle above.
Theorem:
The measure of an exterior angle of a triangle is equal to the sum of the measures of its two remote interior angles.
We use the theorem above to find the measure of angle VZY.
52 + m<VZY = 132
m<VZY = 80
Angles WZX and VZY are vertical angles, so they are congruent.
m<WZX = m<VZY = 80
Answer: 80 degrees
Answer:
m∠WZX = 80°
Step-by-step explanation:
Angle V is a flat angle, so it measures 180°.
Find ∠YVZ (blue angle): 180° - 132° = 48°
Triangle VYZ is 180° (all triangles are 180°).
Find ∠YZV (red angle): 180° - 52° - 48° = 80°
Since you know ∠YZV, you can find ∠WZX (green angle).
∠YZV and ∠WZX are opposite angles, so they are congruent.
Therefore, ∠WZX = 80°
Hope this helps :)
Please help! image is below
Answer:
2
Step-by-step explanation:
2 is the answer of the above
Answer:
x=5
Step-by-step explanation:
We know that corresponding sides will have the same angles. In this case it's 12 and 12+3=15. That means that larger triangle is 15/12=5/4=1.25 times larger.
So we apply that for 3x+1 as well.
1.25(3x+1)=4x
3.75x+1.25=4x
.25x=1.25
x=5
which of the following is true about the expression
the sum of three consecutive even numbers is 78,find the number
Answer:
24, 26, 28
Step-by-step explanation:
The final number is 78
first we can divide 78/3= 26
so 26+26+26= 78
we can leave the middle 26 but we can give 2 from the first number to the last number
24+26+28=78
(This might be wrong but i tried my best)
Write an expression that can be used to find the area of the shaded region.
Answer:
bkrjrjjrkrkrkririirkr
The statements are represented by the rational number -6?
Answer:
uhhh.. statement? *~*
Step-by-step explanation:
help plz. thank u so much.
Answer:
i think x/y=4
Step-by-step explanation:
what times what equals 168 besides 84 times 2?
Answer:
12 & 14
Step-by-step explanation:
Need help ASAP with maybe problem!!!
Answer:
-3
Step-by-step explanation:
Slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept. So, in this equation, the b or y-intercept value is missing. The y-intercept is where the line crosses the y-axis. In this case, the line crosses over at the value of -3. Therefore, the missing value is -3.
Help me guys I need your help
Answer:
what's that
I don't know
Step-by-step explanation:
I'm sorry
The net of a square pyramid is shown in the diagram.
What is the total surface area of the square pyramid in square inches?
Answer:
208
............
The total surface area of the square pyramid is 208 square inches.
What is Area?
Area is a collection of two - dimensional points enclosed by a single dimensional line. Mathematically, we can write -
V = ∫∫F(x, y) dx dy
Given is to find the total surface area of the square pyramid in square inches.
We can write the total surface area of the square pyramid as -
A{total} = A{square} + 4 x A{Δ}
A{total} = (8 x 8) + (4 x 1/2 x 8 x 9)
A{total} = 64 + (16 x 9)
A{total} = 208 square inches
Therefore, the total surface area of the square pyramid is 208 square inches.
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