Answer:
the sequence begins as {4, 7, ... }
Step-by-step explanation:
a(n) = 3n + 1
The first term is a(1) = 3(1) + 1 = 4, and
the second term is a(s) = 3(2) + 1 = 7
So the sequence begins as {4, 7, ... }
it rained on 3/7 of days write the rof the days it rained to number of days
The ratio of the days it rained to number of days is 3 : 7
How to determine the ratio?The proportion of the number of days it rained is given as:
Proportion = 3/7
This means that:
Proportion = Days it rained/Total number of days.
So, we have:
Days it rained/Total number of days = 3/7
Express as ratio
Days it rained : Total number of days = 3 : 7
Hence, the ratio is 3 : 7
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1. A group of 20 students: 2 freshmen, 4 sophomores, 6 juniors and 8 seniors - are trying to get onto a
committee to select a new math teacher. How many different groups of six can be chosen?
Answer:
38760 ways
Step-by-step explanation:
20 C 6 = 38760
Anthony borrowed $158 from a friend ,Josue . He paid josue $89 of the money back how much money does Anthony still owe josue?
Answer:
$69
Step-by-step explanation:
He ows Josue $69 because $158-$89 = $69
By what percent will a fraction CHANGE(not increase!!) if it’s numerator is decreased by 60% and it’s denominator is decreased by 20%?
I am aware that it is a decrease, but not sure of how much it is a decrease by.
HELP ASAP!!
if i was i your class or in bigger class i will help you
Find the area of AAOB
9√3 un²
3√3 un²
4.5√3 un
Answer:
Step-by-step explanation:
The area of the equilateral triangle is [tex]\frac{\sqrt{3}}{4}(6)^{2}=\boxed{9\sqrt{3}}[/tex]
The triangles below are similar because of the:
Answer:
AA similarity postulate
Explanation:
For triangle XZY, the angles are 90°, 40°, 50°.
For triangle AXB, the angles are 90°, 40°, 50°.
Which states that all the angles are of equal measure in the triangles.
This is stated by AA similarity theorem meaning when two angles are equal in the triangle. Then the triangles are congruent to each other.
a) Complete the table of values for y = 2x + 3
x,,-2,,-1,,0,,1,,2,,3
y,,,?,,,1,,,,?,,?,,7,,?
Answer:
Step-by-step explanation:
Because the slope of y = 2x + 3 is 2, y increases by 2 for every unit increase in x.
Substituting the given x-value -2 into y = 2x + 3 results in y = -1.
If we now increase x by 1, from -2 to -1, y increases by 2: the new
y value is y = -1 + 2 or y = 1. which agrees with the +1 in the list of y-values.
Again, y = ?,,,1,,,,?,,?,,7,,? becomes y = -1, 1, ?,,?,,7. Note that -1 + 2 = 1;
1 + 2 = 3; 3 + 2 = 5; 5 + 2 = 7 (which agrees with the given 7); 7 + 2 = 9.
So the given incomplete table of values
x,,-2,,-1,,0,,1,,2,,3
y,,,?,,,1,,,,?,,?,,7,,?
becomes:
x,,-2,,-1,,0,,1,,2,,3
y,,, -1,,1,,,3,,5,,7,,9
Unfortunately I still have school could anybody help me please?
MATH 2
Standard G-SRT.8.1
Answer:
t = 6
∠BAC = ∠EAD = 6°
∠BCA = ∠ABC = ∠AED = ∠EDA = 87°
Step-by-step explanation:
From inspection of the diagram, we can see that there are 2 triangles inside a circle. One of the vertices of both triangles is at the center of the circle. The other vertices of both triangles are on the circumference of the circle.
The dashes on the line segments (chord) mean they are equal in length.
⇒ BC = DE
The legs of both triangles are the radius of the circle.
Therefore, ΔABC = ΔAED
This means the ∠BAC = ∠EAD, therefore:
⇒ 6t - 12 = 18 - 4t
⇒ 10t - 12 = 18
⇒ 10t = 30
⇒ t = 3
Substituting the found value of t into one of the expressions to find ∠BAC and ∠EAD:
⇒ ∠BAC = ∠EAD = 6(3) - 12 = 6°
Triangles ΔABC and ΔAED are both isosceles triangles (as they have 2 sides of equal length: the radii).
Therefore, the remaining 2 angles in each triangle will be equal.
The sum of interior angles of a triangle = 180°
⇒∠BAC + 2(∠BCA) = 180°
⇒ 6° + 2(∠BCA) = 180°
⇒ 2(∠BCA) = 174°
⇒ ∠BCA = 87°
Therefore, as ∠BCA = ∠ABC = ∠AED = ∠EDA
all the other angles are 87°
Please help , giving brainliest .
Answer:
363.22
Step-by-step explanation:
Method 1:
You could find the whole figure surface area than divided by 1/2
Method 2: (the one I'm going to personally be doing)
Break the figure into two rectangular figures
Formula for surface area of rectangular prism:
A = 2(width x length + height x length + height x width)
Figure 1:
A = 2(width x length + height x length + height x width)
height = 3.8 yd
length = 10.1 yd
width = 4.3 yd
A = 2((4.3) x (10.1) + (3.8) x (10.1) + (3.8) x (4.3))
A = 2(98.15)
A = 196.3
Figure 2:
A = 2(width x length + height x length + height x width)
height = 8.4 yd
length = 10.1 yd
width = 2 yd
A = 2((2) x (10.1) + (8.4) x (10.1) + (8.4) x (2))
A = 2(121.84)
A = 243.68
There is overlapping surface area that shouldnt be include so we need to subtract it...
For one face of figure 1
3.8 x 10.1 = 38.38
Total:
Figure 1 + Figure 2 - 2(one face)
196.3 - 38.38 = 157.92
243.68 - 38.38 = 205.3
205.3 + 157.92 = 363.22
The cost of an apple is $1.20. What is the cost of 5 apples?
Answer:
0.24
Step-by-step explanation:
$1.20 ÷ 5 = 0.24
To check that we are going to multiply [tex]5 x 0.24 = $1.20\\[/tex]
I hope this helps and have a great day!
Solve for X.
- 4x + 10 = 50
Answer: -10
Step-by-step explanation:
10 x 4 is 40 so with 2 negatives, it turns positive, and 40 plus 10 = 50
Answer:
x=-10
Step-by-step explanation:
-4x+10=50
10=50+4x
-50+10=4x
-40=4x
4x=-40
x=-40÷4
x=-10
Add 4/13 with the multiplicative inverse of 5 1/5
Answer:
Step-by-step explanation:
Multiplicative inverse of 26/5 is 5/26
(4/13 + 5/26)
13/26 ᴏʀ 1/2
Rational exponents; what do i do???
Answer:
[tex]x = -\dfrac{48}5[/tex]
Step by step explanation:
[tex]~~~~~~~\dfrac{x^2+12x+36}{2x^2}-\dfrac{x^2 +7x +12}{2x^2}= \dfrac 5{4x}\\\\\\\implies \dfrac{x^2 +12x +36 -x^2 -7x -12}{2x^2 } = \dfrac 5{4x}\\\\\\\implies \dfrac{5x+24}{2x^2} = \dfrac 5{4x}\\\\\\\implies 4x(5x+24) = 5(2x^2)\\\\\\\implies 20x^2+96x= 10x^2\\\\\\\implies 20x^2 -10x^2 +96x=0\\\\\\\implies 10x^2 +96x= 0\\\\\\\implies 5x^2 +48x = 0\\\\\\\implies x(5x+48)=0\\\\\\\implies x = -\dfrac{48}5~~~~~;[x\neq 0][/tex]
What is the slope of the line with this equation y-6 = - (x - 3) ? Explain.
Answer:
-1
Step-by-step explanation:
ecuacion de la pendiente está dada por:
Y-yo=m(X-xo)
donde m es la pendiente
del problema :
y-6 = - (x - 3
m=-1
A mass of water at 100°c is added to another mass Q of water at a temperature T and the resulting temperature is theta. Describe an expression for theta in terms of the quantities (specific heat capacity of water is 4.2JKg-¹K-¹).
Answer:
Use the formula Where 1. q = Heat Energy 2. m = Mass 3. c = Specific Heat 4. ΔT = Change in temperature. 14640 J = (300 g)(2.44 J/g·°C)ΔT Solve for ΔT: 1. ΔT = 14640 J/(300 g)(2.44 J/g·°C) 2. ΔT = 20 °C 3. ΔT = Tfinal - Tinitial 4. Tfinal = Tinital+ ΔT 5. Tfinal= 10 °C + 20 °C 6. Tfinal= 30 °C Answer:The final temperature of the ethanol is 30 °C.
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It costs a family $348.00 to buy a 15-ft-by-16-ft rug. If the cost is proportional to the area,
what will it cost the family to buy a 10-ft-by-11-ft rug?
$89.66
$188.50
$240.00
$159.50
The cost of the family rug with dimensions 10-ft-by-11-ft given a proportional relationship is $159.50
How to solve using ratio?Cost = $348.00
Area of rug = length × width
= 15 ft × 16 ft
= 240 square feet
Cost of a new rug = x
Area = length × width
= 10 ft × 11 ft
= 110 square feet
Equate the ratio of cost to area of both rugs348 : 240 = x : 110
348/240 = x/110
cross product
348 × 110 = 240 × x
38,280 = 240x
x = 38,280 / 240
x = $159.50
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Which polynomial correctly combines the like terms and expresses the given polynomial in standard form? 8mn5 - 2m6+5m²n4 - m³n³ + n6 - 4m6 + 9m²n4 - mn5 - 4m³n³ O n6 + 7mn5 + 14m²n4 - 5m³n³ - 6m6 O -2m6 - 5m³n³ + 14m²n4 + 7mn5 + n6 O 14m²n4 + 7mn5 - 6m6 - 5m³n³ + n° On6 - 6m6 + 7mn5 + 14m²n4 - 5m³n³ Mark this and return Next Submi Sa Exitve an
d
Option A is the correct option. The polynomial correctly combines the like terms and expresses the given polynomial in standard form is,
f(m,n) = n⁶+7mn⁵+14m²n⁴-5m³n³-6m⁶-2m⁶
What is the polynomial equation?A polynomial equation is an equation in which the unknown variable is one and the highest power of the unknown variable is n. Here n can be any real number.
Given information-
The polynomial equation given in the problem is,
8mn⁵-2m⁶+5m²n⁴-m³n³+n⁶-4m⁶+9m²n⁴-mn⁵-4m³n³
Let the above polynomial is. Thus,
f(m,n) = 8mn⁵-2m⁶+5m²n⁴-m³n³+n⁶-4m⁶+9m²n⁴-mn⁵-4m³n³
The terms with the same base and exponents can be added or subtracted from each other. Thus solve the equation further as,
f(m,n) = ( 8mn⁵ - mn⁵ ) -2m⁶ + ( 5m²n⁴+9m²n⁴ ) - ( m³n³-4m³n³) + n⁶-4m⁶
f(m,n) = 7mn⁵ - 2m⁶ + 14 m²n⁴ - 5 m³n³ + n⁶- 6m⁶
Arrange it as,
f(m,n) = n⁶+7mn⁵+14m²n⁴-5m³n³-6m⁶-2m⁶
Thus the polynomial correctly combines the like terms and expresses the given polynomial in standard form is,
f(m,n) = n⁶+7mn⁵+14m²n⁴-5m³n³-6m⁶-2m⁶
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can you guys please explain this to me?
answer to this is 24cm2
Step-by-step explanation:
area of square is 4x4=16 and area of triangle is 6x4=32 add the both together (32+16) and you have 40cm2
Which recursive formula can be used to generate the sequence below, where f(1) = 6 and n ≥ 1? 6, 1, –4, –9, –14, … f (n 1) = f(n) 5 f (n 1) = f(n) – 5 f (n) = f(n 1 ) – 5 f (n 1) = –5f(n)
The recursive formula is f(n+1)= f(n)-5.
What is recursive function?
Given sequence :
f(1)= 6, n≥1.
Let f(n) denote the nth term of the given sequence.
f(1)= 6
f(2)= 1 = f(1)-5
f(3)= -4 = 1-5= f(2) -5
f(4)= -9 = 1-10 = f(2)-10
and so on
Hence, the recursive formula is f(n+1)= f(n)-5.
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Type the correct answer in the box. use numerals instead of words. if necessary, use / for the fraction bar. consider the logarithmic function f(x) = log10(x). the value of f(50), rounded to nearest hundredth, is .
It is Given that f(x) = log₁₀(x) then the value of f(50) is 1.70.
What is logarithmic?Logarithmic functions are defined as the inverses of exponential functions.
Hence, exponential functions can be expressed in logarithmic form
Given that f(x) = log₁₀(x)
we need to find the value of f(50),
we have to substitute x to be 50 in the logarithm function,
f(50) = log₁₀(50)
f(50) = log₁₀(5 x 10)
f(50) = log₁₀(5) + log₁₀(10)
f(50) = 1 + log₁₀(5)
f(50) = 1 + 0.70
f(50) = 1.70
Hence, It is Given that f(x) = log₁₀(x) then the value of f(50) is 1.70.
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If 3/7 of people attended a conference are male. how many females attended the conference if the total attendance is 210
which graph represents a function
Answer:
I think it's the one in the middle
Step-by-step explanation:
i need help with this please vvv
Answer:
(a,b)
Step-by-step explanation:
Using the Midpoint formula,
[tex]\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]
you will get
[tex]\left(\frac{2a+0}{2},\:\frac{0+2b}{2}\right)[/tex]
which is
(a,b)
What is the explicit formula for this sequence?
-7, -4, -1, 2, 5, ...
Answer:
3n-10
Step-by-step explanation:
Goes up by three and the first number of this sequence is 10 below 3.
solve for x -
[tex]x {}^{2} - 6x + 5= 0[/tex]
ty! ~
Answer:
x = 5, x = 1
Step-by-step explanation:
Hello!
We can solve this quadratic by factoring.
Solve[tex]x^2 - 6x + 5 = 0[/tex][tex]x^2 - 5x - x + 5 = 0[/tex][tex]x(x - 5) - 1(x - 5) = 0[/tex][tex](x - 5)(x - 1) = 0[/tex]Use the zero product property:
x - 5 = 0x = 5, or x = 1
10 points! Please help me!
In this case, we must use our trigonometric equations to help us solve this problem:
⇒ look at the diagram attached
Let's examine what the problem wants:
side adjacent to the 41-degree angleLet's examine what the problem gives us:
length of the side opposite the 41-degree angleone angle which has a measure of 41 degreesLet's solve:
[tex]tan(41)=\frac{12}{x} \\12=x*tan(41)\\x=\frac{12}{tan(41)} \\x=13.80[/tex]
Answer: 13.8 (rounded to nearest tenth)
Hope that helps!
A bag contains orange, white, and purple marbles. If you randomly choose a marble from the bag, there is a 23% chance of drawing an orange marble and a 48% chance of drawing a white marble. What is the probability of choosing a purple marble? Express your answer as a percent.
The probability of choosing a purple marble from the given parameters is given as; 29%
How to find the Probability?
We are given;
Probability of drawing an orange marble = 23% = 0.23
Probability of of drawing a white marble = 48% = 0.48
Thus, probability of drawing a purple marble is;
P(purple marble) = 100% - (23% + 48%)
P(purple marble) = 29%
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What does the word progressive mean in the sentence below
What is the sentence and what are the questions. Until I know I can't help. But I should be able to answer if you can tell me
use the FOIL method to solve:
(x+4)(x-7)
Find the area please
=202 in²
Divide the shape into 2.
Area of a rectangle= Length * Width
So..
The first shape = 13in*4in = 52in²
The second shape = 15in * 10in = 150in²
150 + 52 = 202in²