The smallest possible value of x is the value less than 2/3
Given the series [tex]$\frac{1}{2} + \frac{1}{3} + \ldots +\frac{1}{x} > 1\frac{1}{2}$[/tex]
We need to find the smallest possible value of x as shown:
[tex]\frac{1}{x} > 1\frac{1}{2}\\ \frac{1}{x} > \frac{3}{2}\\[/tex]
Reciprocate both sides
[tex]x < \frac{2}{3}[/tex]
Hence the smallest possible value of x is the value less than 2/3
Learn more on inequality here: https://brainly.com/question/4192645
Answer:x=7
Step-by-step explanation:
If the dimensions of a pentagonal prism are quadrupled, then the surface area of the prism is multiplied by eight.
True False
Answer:
false
Step-by-step explanation:
the relationship between lengths/dimensions and areas is that areas are created by multiplying 2 dimensions.
when you quadruple (×4) the dimensions, then the areas are growing with the square of the factor (×4×4 = ×16), because the factor goes twice into the multiplication : one time for every dimension involved.
so, quadrupling the dimensions would multiply the areas by 16.
Please help me ASAP I need it
Answer:
XYZ, SAS
Step-by-step explanation:
Because angle B corresponds with angle Y, side AB corresponds with side XY, and side BC corresponds with YZ, we see that side A corresponds with side X, side B corresponds with side Y, and side C corresponds with side Z.
This means that triangle ABC corresponds with triangle XYZ. Since we only know one angle and two sides, they are congruent due to the SAS postulate.
which of the following is the sum of the numbers if the mean of five number is 6
Answer:
Step-by-step explanation:
you have to do 5+1 and then you will get 6
4 yards 2 feet 7 inches + 2 yards 1 foot 6 inches
what is the answer?
Answer:
6 yards 4 feet 1 inch
Step-by-step explanation:
First, we have the equation:
4 yards 2 feet 7 inches + 2 yards 1 foot 6 inches
Now, let's add each:
6 yards
3 feet
13 inches
But 13 inches would be 1 foot and 1 inch, so now we have plus 1 foot and replace the inches with just 1 inch:
6 yards
4 feet
1 inch
There you have it!
Happy learning!
--Applepi101
Answer:
7 yds 1 ft 1 inch
Step-by-step explanation:
4 yards 2 feet 7 inches
+ 2 yards 1 foot 6 inches
------------------------------------------
6 yards 3 feet 13 inches
13 inches is more than 12 inches ( =1 ft) so subtract 12 inches and add 1 ft
6 yards 3 feet 13 inches
=1 ft - 12 inches
-----------------------------------------
6 yds 4 ft 1 inches
4 ft is more than 3f which is 1 yd ( subtract 3 ft and add 1 yd)
6 yds 4 ft 1 inches
+1 yd - 3ft
------------------------
7 yds 1 ft 1 inch
Create an equation in slope-intercept form for the line that passes through (3, 6) and (6, 10).
Answer: y = 4/3x + 2
Step-by-step explanation:
Use the slope form of y2 - y1/ x2 - x1 and substitute in the values from the coordinates. In this case, it would be 10-6/6-3, which gives you 4/3. Thus, that would be the slope(m). Then take a pair of coordinates (x,y) and substitute in the equation y = mx + b.
If you take the first coordinate (3,6): 6 = 3(4/3) + b
6 = 4 + b
b = 2
If you take the second coordinate (6, 10) : 10 = 6(4/3) + b
10 = 8 + b
b = 2
Then, substitute m and b into the equation (y = mx + b) to get your answer.
Instructions: Find the angle measures given the figure is a rhombus.
Answer:
m <1 = 147
m <2 = 90
Step-by-step explanation:
In rhombus diagonals are perpendicular to each other so
m <2 = 90
m < 1 = 180- 33
= 147
Answered by Gauthmath
The required angle of the rhombus m∠1 = 57° and m∠2 = 90°.
Given that,
A figure of a rhombus is shown,
An angle of 33° is given,
m∠1 and m∠2 is to be determined.
The triangle is a geometric shape that includes 3 sides and sum of the interior angle should not greater than 180°.
The angle can be defined as the one line inclined over another line.
Here, the rhombus has been shown with an angle of 33° of the side with one of the diagonal.
Since the diagonal of the rhombus bisect each other at an angle of 90 so the angle m∠2 = 90 and the sum of the interior angle of a triangle is 180. So,
m∠1 + 33 + 90 = 180
m∠1 = 180 - 123
m∠1 = 57
Thus, the required angle of the rhombus m∠1 = 57° and m∠2 = 90°.
Learn more about Angles here:
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Pls help area geometry! I’ve got 40 steps to do in a day :(
Answer:
26 cm^2
Step-by-step explanation:
(b*h)/2 is the area formula of a triangle (use it for your other questions!)
base here is the bottom-most side, the one that is 13 degrees. the side that is 4 cm is the height.
13*4 = 52 and 52/2 = 26
Area is 26
f(x) = x2 What is g(x)?
Answer:
D
Step-by-step explanation:
g(x) = 9x^2 satisfy the point (1,9).
Lydia runs an experiment to determine if a coin
Write each fraction as a decimal. Use bar notation if necessary.
1. 8/9 2. -2/5. 3. 7/11
Answer:
rgre5ydytye453efdfe45fgs4terwt
Step-by-step explanation:
bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbvbcn
Answer:1. 0.889, 2. −0.4, 3. 0.636 (i rounded the answers to the nearest thousandths)
Step-by-step explanation: the thing is when you are changing them from fraction to decimal you use long division for example
let us say the fraction is a half.
we put the numerator inside and the denominator outside.
so in this case 2 is outside and 1 is inside.
(forgive my drawing)
So after the zero we put a point if it is any number we still put a point after the first division answer.
We also put a zero next to 1 even though it is any other number a the answer on top we still put a zero if the number is over like in this case.
so 10 divide by 2 is 5 we put it on top.
Since we got an answer with no reminder our answer is 0.5.
Decide whether the graphs of the given euqations are parallel perpendicular or neither
Explanation:
Each equation given to you is in y = mx+b form (aka slope intercept form).
The slope m is what we'll focus on.
The first equation has slope of 1, while the second equation has slope -1.
The two slopes multiply to -1. This is a property of any pair of perpendicular lines, as long as neither line is vertical nor horizontal.
Or you could note that -1 is the negative reciprocal of 1, or vice versa.
So there are a few options to see why the lines are perpendicular.
please help again with translations
Answer:
A -1,7
B 1,5
C -2,4
Step-by-step explanation:
These figures are similar. The
area of one is given. Find the
area of the other.
3 in
Answer:
12 in^2
Step-by-step explanation:
The figure with the given area is twice as big as the small figure and these are similar figures. Therefore we divide 24/2 = 12
Pippa had 35 stickers. She gave an equal number of stickers to 8 friends. She gave each friend as many stickers as possible and kept the rest for herself. How many stickers did Pippa keep for herself? What is the misconception which might lead some to select D) 27 A) 3 B) 4 C) 11 D) 27
Answer:
The answer is (A), Pipa kept 3 stickers to herself
Step-by-step explanation:
Find the measure of the missing angle in the kite , given kite ADCB with m < BAD = 46 degree and m < ABC = 114 degree find m
Answer:
m∠BCA = 43°
Step-by-step explanation:
ABCD is a kite having m∠BAD = 46° and m∠ABC = 114°
∠BAD and ∠BCA are the vertex angles of the kite.
Since, diagonal of kite bisect the vertex angles
m∠BAC = m∠DAC = [tex]\frac{1}{2}(46^{\circ})[/tex]
m∠BAC = 23°
By applying triangle sum theorem in ΔABC,
m∠ABC + m∠BCA + m∠BAC = 180°
114° + m∠BCA + 23° = 180°
m∠BCA = 180° - (114° + 23°)
= 43°
can someone please help? worth 10pts
Answer:
equation of the line would be y=-3x+7
Step-by-step explanation:
because the line goes 3 up and 1 behind for the next point ad the line is not y intercept 7
Write an equation that represents the line.
Use exact numbers.
Answer:
[tex]y = - \frac{4}{3} x + 2[/tex]
Step-by-step explanation:
Linear algebra
Answer:
y=-4/3x+2
Step-by-step explanation:
A number cube is rolled three times. What is the probability of rolling a number less than 3 each time?
A) 1/9
B) 1/8
C) 1/27
D) 8/27
Answer:
1/27
Step-by-step explanation:
The outcomes when rolling a die are 1,2,3,4,5,6
getting less than 3 = 1,2
P( less than 3) = outcomes of less than 3 / total
= 2/6 = 1/3
Since the events are independent we can multiply the probabilities
P( less than 3, less than 3, less than 3) = 1/3 * 1/3*1/3 = 1/27
Hi, just need help with this graph problem.
Answer:
Domain: (-2, 2]
Range: (-5, 4]
General Formulas and Concepts:
Algebra I
Domain is the set of x-values that can be inputted into function f(x) Range is the set of y-values that are outputted by function f(x)Interval Notation: [Brackets] denote inclusion and (Parenthesis) denote exclusionStep-by-step explanation:
According to the graph, we see that our x values span from -2 to 2. Since -2 is an open dot and 2 is a closed dot, they are exclusive and inclusive, respectively:
(-2, 2] or -2 < x ≤ 2
According to the graph, we see that our y values span from -5 to 4. Since -5 is an open dot and 4 is a closed dot, they are exclusive and inclusive, respectively:
(-5, 4] or -5 < y ≤ 4
In the morning, the temperature was 15 degree F. During the day, the temperature fell 37 degrees. Which expression shows how to find the temperature at the end of the day
Answer:
15-37 or -37+15
Step-by-step explanation:
Which angles are supplementary to each other?
Angle 5 and Angle 2
Angle 3 and Angle 8
Angle 8 and Angle 5
Angle 8 and Angle 6
angle 8 and 5 are supplementary angle
WHO CAN HELP ME WITH THIS QUESTION
Answer:
No
Step-by-step explanation:
These two triangles aren't similar. The left triangle angle measures are 30,60,90. The left triangle measure is 35,55,90.
The side lengths aren't proportional as well. These triangles not similar.
Answer: I'm not sure but
similar : no
similarity statement: it's not similar because the corresponding angle of the two triangle are different
scale factor : 8/4 = 2 ( so, triangle ABC is 2 times the size of triangle LMN)
Step-by-step explanation:
HELP PLEASE (and explain if you can
what is 5cd when c = 3 and d = 4
what is 5cd when c = 3 and d = 4
put the value c=3 and d=4 then,
5cd= 5 × 3 × 4
= 60
thus , 60 is the required answer..........
Answer:
[tex]here \: 5cd \\ c = 3 \\ d = 4 \\ then \: 5 \times 3 \times 4 = 5 \times 12 = 60 \\ thank \: you[/tex]
Expand and simplify (x-3)(x+5)
Answer: x² + 2x - 15
Step-by-step explanation:
Concept:
When we encounter questions that ask us to simplify expressions that consist of multiple parentheses, it is suggested to use the FOIL method to ease the process.
FirstOuterInnerLastSolve:
Given
(x - 3) (x + 5)
Expand parentheses
x² + 5x - 3x - 15
Combine like terms
x² + (5x - 3x) - 15
x² + 2x - 15
Hope this helps!! :)
Please let me know if you have any questions
If the hypotenuse of an isosceles right triangle has a length of 5 centimeters, what is the length of one of the legs?
Select the correct answer.
O 5
O 5V2
O 6/2
O 5V2/2
Answer: D
Step-by-step explanation:
just did it
The length of one of the legs of the isosceles right triangle is, 5 / √2 cm.
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.
We have to given that;
The hypotenuse of an isosceles right triangle has a length of 5 centimeters.
Now, We know that;
Two sides of an isosceles triangle are equal.
Let two equal sides of triangle = x
Hence, We get by Pythagoras theorem,
⇒ Hypotenuse² = Base² + Perpendicular²
⇒ 5² = x² + x²
⇒ 25 = 2x²
⇒ x² = 25/2
⇒ x = √(25/2)
⇒ x = 5 / √2 cm
Learn more about the triangle visit;
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The graph below shows the amount of money a store earns for selling T-shirts.
у
T-shirt Sales
100
80
60
Money Earned
(dollars)
40
20
0
4
24
8 12 16 20
Number of T-shirts Sold
What is the unit rate of the graph?
Answer:
Whattt pls draw the graph.. And it will show the us the rate
0.4 x 10 =....
1.25 x 10 =
97.465 x10 =
Answer:
0.4 × 10 = 4
1.25 × 10 = 12.5
97.465 × 10 = 974.65
Can someone help me I don't understand
Answer:
79.605
Step-by-step explanation:
sin 31° = 41/x
x = 41/sin 31°
x = 79.605
which one is the right answers
Answer:
B
Step-by-step explanation:
n is the number of litres.
if you substitute 1 for 'n' then you will get :
C = 8 + 1.5(1)
C = $9.5
$9.50 for every litre
Answer:
C is correct
Step-by-step explanation:
The $8 charge is only once regardless of how many liters are ordered, so only answer C works.
What is the probability of getting ALL 2 red balls in a bag containing 24 balls?
Answer:
1 / 276
Step-by-step explanation:
The total Number of balls in the bag = 24
Number of red balls = 2
Assume the number of picks required = 2 and selection is performed without replacement ;
The probability of :
Choosing a red on first pick = (number of red balls / total number of balls) = 2 / 24
After first pick, red balls left = 1 ; total number of balls = 23
Choosing a red on second pick = (number of red balls / total number of balls = 1 / 23
Hence,
(2/24) * (1/23) = 2 / 552 = 1/276
