Answer:
7x -14=35 add 14 on both sides
7x= 49 then, divide 7 on the whole equation
x=7
What is the sum of an infinite geometric series if the first term is 8 and the common ratio is 1⁄2?
A. 16
B. 8
C. 32
D. 4
Answer:
A
Step-by-step explanation:
The sum to infinity of a geometric series is
S (∞ ) = [tex]\frac{a}{1-r}[/tex] ( - 1 < r < 1 )
where a is the first term 8 and r is the common ratio, hence
S(∞ ) = [tex]\frac{8}{1-\frac{1}{2} }[/tex] = [tex]\frac{8}{\frac{1}{2} }[/tex] = 16
This sum of the infinite geometric series is 16 since the correct option is (A) 16.
Definition of infinite geometric series:The sum of infinite geometric sequences is called an infinite geometric series. There would be no final term in this series. The infinite geometric series has the general form a1+a1r+a1r2+a1r3+..., where a1 is the first term and r is the common ratio. The sum of all finite geometric series can be found.
How to find the sum of the series?In terms of the first term a1 and the common ratio r, the sum is...[tex]S =\frac {a_1}{(1-r)}[/tex]
We discover... by substituting the given numbers and performing the arithmetic...[tex]S = 8/(1 -1/2) = 16[/tex]
The total number of items in the series is 16.
Learn more about infinite geometric series here, https://brainly.com/question/27350852
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Plz help me I’m very confused plz explain I really need help
Since she has the most heads come up, making her chances to be best of getting heads.
-----------------------------------------------------------------------------------------------
Answer for problem 8 is D) JessicaDivide each of the four values (102, 164, 75, 139) by 250 to get
102/250 = 0.408
164/250 = 0.656
75/250 = 0.300
139/250 = 0.556
We see that Jessica's empirical probability of 0.556 is closest to that of 1/2 = 0.500 which is the theoretical probability of getting heads.
La réponse au problème 7
est B) Kelly
La réponse au problème 8
est D) Jessica
102/250 = 0,408
164/250 = 0,656
75/250 = 0,300
139/250 = 0,556
Nous voyons que la probabilité empirique de Jessica de 0,556 est la plus proche de celle de 1/2 = 0,500 qui est la probabilité théorique d'obtenir des têtes.
435,098 rounded to the nearest ten thousand place is ?
Answer:
440,000
Step-by-step explanation:
435, the ten thousands place is the 2 place in the 435, so 5 rounds up, so 440 is what it round o, and everything else becomes 0.
435,098 rounded to the nearest ten thousand place is Option (E) 440,000.
Process of rounding off -Rounding off is the process used when a number is formed from the approximated value to tens, hundreds or thousands places. Rounding off is applied to a certain number to find the closest value after that number.
How to round off the given number in the question ?The number given is 435098.
Thus rounding off the number to nearest thousand will give us the closest value after that number in the thousand place of the digit of number.
Therefore from the Options given, the correct rounded off number is Option (E) 440,000.
To learn more about rounding off, refer -
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The table shows the daily temperatures for a city. What is the mean absolute deviation for this data?
A) 5.2
B) 6.1
C) 55
D) 57
Where is the picture
And I think the answer is 6.1
Answer:
A.) 5.2 is the deviation
Step-by-step explanation:
Allow me to explain!
The mean of the data is found by adding the four temperatures (5.2+6.1+55+57) and dividing by 4. This gives you 30.825. The number given that is furthest from this number is 5.2, making it your answer.
Is change in math always represented as a positive number even when its negative?
How many students participated in the survey
50 people answered the survey.
if x/8 =5/4 then x=10 true false
Answer:
true
Step-by-step explanation:
given
[tex]\frac{x}{8}[/tex] = [tex]\frac{5}{4}[/tex] ( cross- multiply )
4x = 40 ( divide both sides by 4)
x = 10
Final answer:
The equation x/8 = 5/4 is solved by multiplying both sides by 8, resulting in the correct solution x = 10. Thus, the statement is indeed true.
Explanation:
To solve the equation x/8 = 5/4, we need to perform algebraic operations to solve for x. We multiply both sides of the equation by 8 to isolate x on one side, which gives us:
x = (5/4) × 8
Now, we simplify this further:
x = (5 × 2) = 10
Therefore, the statement 'if x/8 = 5/4 then x = 10' is true, since we have confirmed that multiplying 5/4 by 8 indeed equals 10. It is important to understand that multiplication and division are inverse operations, and we can solve for an unknown by isolating it on one side of the equation.
a 12 inches by 12 inches by 12 inches container of water was placed in the freezer.Water expands 4% when it is frozen.What is the volume of the container when it is frozen?
Find all real zeros of the function y=-5x-7
Answer:
x=1 2/5
Step-by-step explanation:
Replace y with 0 and solve for x.
Answer: The required zero of the given function is x = -1.4.
Step-by-step explanation: We are given to find all the real zeroes of the following function :
[tex]y=-5x-7~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
Since the given function is linear, so it will have only one real zero.
Also, the zeroes of a function y = f(x) is given by f(x) = 0.
So, the zero of the given function (i) is
[tex]y=0\\\\\Rightarrow -5x-7=0\\\\\Rightarrow 5x=-7\\\\\Rightarrow x=-\dfrac{7}{5}\\\\\Rightarrow x=-1.4.[/tex]
Thus, the required zero of the given function is x = -1.4.
A line has a slope of a and has a y intercept of (0,b).Which equation represents this libe
Answer:
y = ax + bStep-by-step explanation:
The slope-intercept form of an equation of a line:
[tex]y=mx+b[/tex]
m - slope
b - y-intercept → (0, b)
We have the slope m = a, and the y-intercept b.
Substitute:
y = ax + b
What is the radius of 8 cm. What is the radius, diameter,circumference
the radius is 8cm,the diameter is 16cm,and the circumference 50.27.
Answer:radius=8cm diameter=16cm
Circumference=16π
Step-by-step explanation:diameter= r•2 Circumference=2•π•r
-3x - 3y = -30
-2x + 7y = -2
(This is elimination)
Answer:
Step-by-step explanation:
-3x - 3y = -30
-2x + 7y = -2
-3x - 3y = -30 /*(-2)
-2x + 7y = -2 /*3
6x + 6y = 60
-6x + 21y = -6
6x - 6x + 6y + 21y = 60 - 6
27y = 54
y = 2
-3x - 3y = -30
-3x - 3*2 = -30
-3x - 6 = -30
-3x = -30 + 6
-3x = - 24 / : (-3)
x = 8
calculate the shaded area
Answer:
116cm^2
Step-by-step explanation:
This problem is just a matter of finding the area of the large and the small circle. To find the area of the large circle, you will use the equation: A = pi*r^2 in the following manner:
A = pi*r^2
A = pi*6.5^2
A = pi*42.3
A = 133
Next, you need to subtract the smaller circle from the area to only have the shaded area. Do this like the following:
A = pi*r^2
A = pi*2.3^2
A = pi*5.29
A = 16.6
Lastly, you just need to subtract! Do this like the following:
A = 133 - 16.6 = 116.4cm^2 = 116cm^2
The area of shaded area is 116.14 cm²
Step-by-step explanation:The area of circle is given by
A=πr²Wee have 2 radii
Lets find for the radius 2.3
A = π * 2.3²
A = 16.61
Now lets find for the radius 6.5
A = π * 6.5²
A = 132.73
Now
The shaded area is 132.75 - 16.61
Shaded area = 116.14
What is the missing step in solving the inequality 4(x – 3) + 4 < 10 + 6x? 1. The distributive property: 4x – 12 + 4 < 10 + 6x 2. Combine like terms: 4x – 8 < 10 + 6x 3. The addition property of inequality: 4x < 18 + 6x 4. The subtraction property of inequality: –2x < 18 5. The division property of inequality: ________ x < –9 x > –9 x < x > –
I couldn't understand the last part, I think they are just options
The last part should be x>-9
Hope it helps!
#MissionExam001
Find the square inches
Answer:
The area of the figure is 16
Step-by-step explanation:
If you look closely there are four squares inside the figure so you get the area of one square and times it by four for the area of 16.
Answer:
16 in^2
Step-by-step explanation:
Think of the entire shape as a rectangle above and a square below. The rectangle's length and width are 6 inches and 2 inches. The side of the square is 2 inches.
area of rectangle: Ar = length * width
area of square: As = side^2
total area = Ar + As
total area = 6 in * 2 in + (2 in)^2
total area = 12 in^2 + 4 in^2
total area = 16 in^2
Help! Will give brainliest! (Whatever it’s called )
Thank you!!
Find the surface area! :)
Answer:
A=777.54
Step-by-step explanation:
What you do is use the formula which is
a=2pirh+2pir^2.
The radius is half the diameter and the diameter is 15 so you take 15 and divide it by 2 to get 7.5.
The height is 9 m.
A=2(3.14)(7.5)(9)+2(3.14)(7.5)^2=777.54 m.
Answer:
777.15 m^2
Step-by-step explanation:
To find the surface area of a cylinder
SA = 2 pi r h + 2 pi r^2
The area of the sides Plus the area of the top and bottom
We know the diameter is 15 so the radius is 1/2 (15) = 7.5
SA = 2 * pi * (7.5) * 9 + 2 * pi * (7.5)^2
= 135pi + 112.5pi
247.5 pi
Approximating pi with 3.14
247.5 (3.14)
777.15 m^2
HELPP
Given: Diameter QG,
mFG=46°, mQE =58°
Find: m∠GQF and m∠GPF
i already know that m∠GPF is 52
idk what ∠GQF
Answer:
m∠GQF=23°
Step-by-step explanation:
This is equal to 23 degrees because you know that mFG is 46°. Now, you use a theorem similar to Peripheral ∠ Th. to get 23°
Answer:
[tex]m\angle GQF=23^{\circ}[/tex]
[tex]m\angle GPF=52^{\circ}[/tex]
Step-by-step explanation:
We have been given an image of a circle and we are asked find the measure of angle GQF and measure of angle GPF.
We know that the measure of an inscribed angle is half the measure of its intercepted arc. To find the measure of angle GQF we will divide the measure of its intercepted arc (FG) by 2.
[tex]m\angle GQF=\frac{1}{2}\times 46^{\circ}[/tex]
[tex]m\angle GQF=23^{\circ}[/tex]
Therefore, the m∠GQF is 23 degrees.
We know that measure of angle formed by two intersecting secants inside a circle is half the sum of their intercepted arcs.
[tex]m\angle GPF=\frac{1}{2}\times(\text{Measure of arc FG+arc QE})[/tex]
[tex]m\angle GPF=\frac{1}{2}\times(46^{\circ}+58^{\circ})[/tex]
[tex]m\angle GPF=\frac{1}{2}\times(104^{\circ})[/tex]
[tex]m\angle GPF=52^{\circ}[/tex]
Therefore, the m∠GPF is 52 degrees.
A toy company makes rectangular sandboxes that measure 6 feet by 5 feet by 1.2 feet. A customer buys a sandbox and 40 cubic feet of sand. Did the customer buy too much or too little sand? Justify your answer
Answer:
Customer has bought too much sand
Step-by-step explanation:
Given that the dimensions (Length, Width and Height) of rectangular box are = 6,5, 1.2.
Volume of a rectangular box = Length * Width * Height
=> 6*5*1.2
=> 36 cubic feet
As mentioned, customer bought a sand box and 40 cubic feet of sand.
So,
Volume of rectangular box (R) = 36 cubic feet
Volume of Sand (S) = 40 cubic feet
From analysis
S > R
Which shows that the capacity of sandbox is 36 cubic feet and volume is 40 feet that is a little greater than desired capacity.
Therefore, customer has bought too much sand.
Juan and Rob are selling cookie dough for a school fundraiser . Juan has t cookie dough orders , and Rob has 40 cookie dough orders . They have a total of 75 cookie dough orders all together . Write a equation to describe this situation . How many cookie dough orders does Juan have?
Answer:
Juan has 35(t) cookie dough orders.
Step-by-step explanation:
75(Overall) - 40(Rob's) = 35(Juan's)
Hope this helps you. :)
Answer:
t+ 40 = 75; t = 35
Step-by-step explanation:
t + 40 = 75
Subtract 40 from each side.
t = 35
Juan has 35 cookie dough orders.
HURRY ITS TIMED!!!!!
A cylinder has a diameter of 40 feet and a height of 32 feet. What is the surface area of the cylinder? Express the answer in terms of pi.
➷ The formula for surface area of a cylinder is:
[tex]2\pi rh + 2\pi r^2[/tex]
The radius is half the diameter
radius = 40/2 = 20
Substitute the values in
Surface area = [tex]2\pi (20)(32) + 2\pi (20)^2[/tex]
Simplify to get an answer of:
surface area = [tex]2080\pi feet^2[/tex]
✽➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
↬ ʜᴀɴɴᴀʜ ♡
I need help please????
The one you have highlighted is correct
the first one is the right one
Which polynomial is a quintic binomial?
A: x^2+4x
B: 3x^5+2
C: x^4+2x^3-x^2+7x+11
D: 5x^2-2x+1
ANSWER :
Quintic binomial is a binomial having highest degree 5.So (B) 3x^5+2 is correct having highest degree .
Hope this helps
Thanks
Final answer:
The quintic binomial among the options given is B: 3[tex]x^5[/tex] + 2, as it has two terms and its highest degree is five.
Explanation:
The question asks to identify which polynomial is a quintic binomial.
A quintic polynomial is one where the highest degree of any term is five, and a binomial is a polynomial with exactly two terms.
Looking at the options provided, Option B: 3[tex]x^5[/tex] + 2 fits this description, as it has two terms and the highest degree is five.
How do you find the area of 12ft and 20ft and 18ft
Answer:
106.65
Step-by-step explanation:
its the same formula as the area of a triangle.... smallest number as base
For which distributions is the median the best measure of center? Select each correct answer.
Answer with explanation:
Let me start answering this Question like this.
Why Median came into existence because Mean was not good enough to provide better solution to Statistical Data Set.
What, is Median.Median of a discrete data set ,is Middle value in the data set when arranged in ascending or descending order.Suppose you have to find whether wages of Employee in certain Organization is appropriate or not.You will use two measure of variation for that Purpose: 1. Mean 2.Median
Consider Bar graph of Data set 1
Variate in set builder form ={10,15,20,25,30,35,30,25,20,15,10}
When arranged in ascending order ={10,10,15,15,20,20,25,25,30,30,35}=11(Odd)
Mean
[tex]=\frac{235}{11}\\\\=21\frac{4}{11}[/tex]
Median =Mid value =20
Median - Smallest variate =20 -10=10
Largest Variate - Median =35-20=15
→→→Consider Bar Graph of Data set 2
Variate in set builder form ={22,18,20,26,30,28,20,9,9,5,4,3,3,2}
When arranged in ascending order ={2,3,3,4,5,9,9,18,20,20,22,26,28,30}=14(Even)
Mean
[tex]=\frac{199}{14}\\\\=14\frac{3}{14}[/tex]
Median
[tex]=\frac{9+18}{2}\\\\13.5[/tex]
Median - Smallest variate =13.5 - 2=11.5
Largest Variate - Median =30 -13.5=16.5
→→Consider Bar Graph of Data set 3
Variate in set builder form ={4,3,4,,4,5,5,5,4,5,5}
When arranged in ascending order ={3,4,4,4,4,5,5,5,5,5}=10(Even)
Mean
[tex]=\frac{44}{10}\\\\=4.4[/tex]
Median
[tex]=\frac{4+5}{2}\\\\4.5[/tex]
Median - Smallest variate =4.5 -3=1.5
Largest Variate - Median =5-4.5=0.5
Consider Bar graph of Data set 4
Variate in set builder form ={11,12,13,14,15,18,19,24,28,15,12,11}
When arranged in ascending order ={11,11,12,12,13,14,15,15,18,19,24,28}=12(even)
Mean
[tex]=\frac{192}{12}\\\\=16[/tex]
Median
[tex]=\frac{14+15}{2}\\\\14.5[/tex]
Median - Smallest variate =14.5 - 11=3.5
Largest Variate - Median =28 - 14.5=13.5
Drawing Box plot of four data set
Found that, for data set 3, median lies in the center.
Option 2 and Option 3
Solve for x: 27/x +29=38
Answer:
x=3
Step-by-step explanation:
27/x +29=38
Multiply all terms by x and cancel:
27+29x=38x
29x+27=38x(Simplify both sides of the equation)
29x+27−38x=38x−38x(Subtract 38x from both sides)
−9x+27=0
−9x+27−27=0−27(Subtract 27 from both sides)
−9x=−27
−9x
−9
=
−27
−9
(Divide both sides by -9)
x=3
To solve for x, subtract 29 from both sides, multiply both sides by x, then divide both sides by 9 to get x = 3.
Explanation:To solve for x in the equation 27/x + 29 = 38, you first want to isolate the term with x. We can do that by subtracting 29 from both sides to get: 27/x = 38 - 29, simplified to 27/x = 9.
Next you want to get rid of the x in the denominator, which implies multiplication. You can multiply both sides of the equation by x, which will give: 27 = 9x.
To finally solve for x, divide both sides by 9 to get x = 27/9, so, x = 3.
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70p divided by p squared
Find the length of AC if AB=24
Answer: 48
Step-by-step explanation: If B is the midpoint AB make 24 if you want to know the whole length then you would add 24+24+48 which makes AC 48
PLZ help me!!!! I have no idea how to do this!
Answer:
a)[tex]y^b z^{(b-1)}[/tex]
Step-by-step explanation:
Hope this helps :)
Answer:
Step-by-step explanation:
d is the answer
sin(x)=1/4 [0, 360]
Answer:
[tex]x=14.5\degree[/tex] or [tex]x=165.5\degree[/tex]
Step-by-step explanation:
We want to solve the equation;
[tex]\sin x=\frac{1}{4}[/tex] on the interval [tex][0,360\degree][/tex]
The sine ratio is positive in the first and second quadrant.
We take the sine inverse of both sides of the equation to get;
[tex]x=\sin^{-1}(\frac{1}{4})[/tex]
[tex]x=14.5\degree[/tex]
This is the angle in the first quadrant.
In the second quadrant;
[tex]x=180-14.5[/tex]
[tex]x=165.5\degree[/tex]
*Easy points!* Find the slope of the line in the image below! *Will mark Brainest!*
Answer:
-4
------
6
Step-by-step explanation:you go down 4 and across 6 so since you go down it is a negative by the way the answer on the top is a fraction.
I=-2,3
III= -1, 4
*I think sorry if it’s wrong*