The length of the longest metal rod that can be sent in a 7-inch cube box is 12 inches.
To determine the length of the longest metal rod that can be sent in a 7-inch cube box, we need to consider the diagonal of the cube as the maximum length of the rod.
In a cube, the diagonal can be calculated using the Pythagorean theorem. The formula for the diagonal of a cube is:
diagonal = √(side^2 + side^2 + side^2)
Since we know that the cube has sides of 7 inches, we can substitute this value into the formula:
diagonal = √(7^2 + 7^2 + 7^2)
diagonal = √(49 + 49 + 49)
diagonal = √147
diagonal ≈ 12.124 inches
Therefore, the correct answer is:
12 inches
This means that the metal rod should not exceed 12 inches in length in order to fit inside the 7-inch cube box for shipping. Any rod longer than 12 inches would not be able to fit diagonally within the box.
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If L1 ∥ L2 , and L3 ∥ L4 , what is the measure of ∠1? Please help me
Answer:
m<1 = 29
Step-by-step explanation:
All angles of a triangle equal 180:
<1 = x
Equation:
x + 90 + 61 = 180
x + 151 = 180
x = 180 - 151
x = 29
can't find probability
Answer: [tex]0.0756,\ 0.7599[/tex]
Step-by-step explanation:
Given
Probability that a coin will land head is [tex]0.3[/tex] i.e. probability of success is [tex]p=0.3[/tex] So, the probability of failure is [tex]q=1-0.3=0.7[/tex]
Using Binomial distribution for [tex]n=4[/tex]
(a) Probability that the coin will lead heads exactly 3 times
[tex]\Rightarrow P(3)=^4C_3(0.3)^3(0.7)^1\\\Rightarrow P(3)=4\times 0.7\times (0.3)^3\\\Rightarrow P(3)=0.0756[/tex]
(b)Probability that the coin lands head at least once
[tex]\Rightarrow 1-P(0)\\\Rightarrow 1-^4C_0(0.3)^0(0.7)^4\\\Rightarrow 1-1\cdot(0.7)^4\\\Rightarrow 0.7599[/tex]
How do I solve this problem?
Step-by-step explanation:
Solution:
Given,
t1( first term ) a = -15
t2( second term ) b = -9
CD(Common Difference) = ?
We know,
CD = b - a
= -9 - ( - 15 )
= -9 + 15
= 6
Now,
t1 = -15
t2 = -9
t3 = -3
t4 = 3
t5 = a + ( n - 1 )CD
= -15 + ( 5 - 1 ) 6
= -15 + 24
= 9
t50 = a + (n - 1 ) CD
= -15 + ( 50 - 1 ) CD
= -15 + 49 × 6
= -15 + 284
= 269
So the sum of t50 is 269.
If someone helps me ill give them brainlest
Answer:
x+51+80+60=180
x+191. =180
x=180-191
x=-11
write the formula for translation at enivorgement
Answer:
In the coordinate plane we can draw the translation if we know the direction and how far the figure should be moved. To translate the point P(x,y) , a units right and b units up, use P'(x+a,y+b) .
Step-by-step explanation:
find the slope of the line please help
Answer:
1/2 is the slope
Step-by-step explanation:
A rectangular pool measures 5 yd by 6 yd. A concrete deck of uniform width is constructed around the pool. The deck and pool together cover an area of 72. How wide is the deck?
Answer:
42 yard
Step-by-step explanation:
Area of deck = total area - area of pool
area of a rectangle = length x width
5 x 6 = 30
72 - 30 = 42
I need help please :)
Answer:
4th option
10x + 32 / x(x+8)
Step-by-step explanation:
Review the graph function. Which statement describes whether the extreme value theorem applies?
Answer:
D :)
Step-by-step explanation:
The extreme values theorem does not apply, and f(x) has a maximum but not a minimum. Option D is correct.
A graph has shown in the image, It is to determine whether the extreme value theorem applies.
The graph is a demonstration of curves that gives the relationship between the x and y-axis.
The extreme value theorem comprises that if a function is continuous on a defined interval [a,b], then the function must have a maximum and a minimum in the interval. Since in the graph the function does not have the minimum and is not defined for the closed interval. The function has a maximum on the left side of the graph but starts with the discontinuity on the left side so the Extreme value theorem does not hold.
Thus, The extreme values theorem does not apply, and f(x) has a maximum but not a minimum.
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Will mark brainliest!
Find the Volume of the Sphere. Use 3.14 for pi. Round your answer to the nearest whole number.
Answer:
It is 14130 mm^3
Step-by-step explanation:
So the equation for the volume of a sphere is (4/3) (3.14) r^3. So since we already have the radius, we just plug it in to get the answer:
(4/3) (3.14) r^3
(4/3) (3.14) 15^3
(4/3) (3.14) 3375
(4/3) (10597.5)
14130 mm^3
Laci wrote an integer. The opposite of Laci’s integer is -35. (6.2B)
a) What is the value of Laci’s integer?
b) What is the absolute value of Laci’s integer?
Answer:
35
Step-by-step explanation:
track the number to the other side of the graph
Select all the statements that are true in all cases.
The expressions x + x and x2 are equal. The expressions x + x and 2x are equal. The expressions (x) (x) and x2 are equal. The expressions (x) (x) and 2x are equal.
Answer:
The expressions x + x and 2x are equal.
[tex]the \: expressions \: (x)(x) \: and \: {x}^{2} \: are \: equal[/tex]
3/4+ (1/3 ➗1/6)- (-1/2)=___
1 3/4
2 1/4
3/4
3 1/4
STEP 1: (1/3 : 1/6) = 2/1 = 2
STEP 2: 3/4 + 2 = 11/4 = 2 3/4 = 2.75
STEP 3: 2.75 (-1/2) = -11/8 = -1 3/8 = -1.375
(1) Divide: 1/3 : 1/6 = 1/3 · 6/1 = 1 · 6/3 · 1 = 6/3 = 3 · 2 /3 · 1 = 2
(2)Add: 3/4 + the result of step No. 1 = 3/4 + 2 = 3/4 + 2/1 = 3/4 + 2 · 4/1 · 4 = 3/4 + 8/4 = 3 + 8/4 = 11/4
(3) Subtract: the result of step No. 2 - (-1/2) = 11/4 - (-1/2) = 11/4 - (-1) · 2/2 · 2 = 11/4 - (-2/4) = 11 - (-2)/4 = 13/4
Therefor your answer is A 13/4 OR 1 and 3/4: )
Hope this helps!
Sorry for all the steps but those steps will help you!
-Hailey: )
(nothing is copied or pasted!!!!!)
Find the value of x. (I'll mark brainlest!!!)
Answer:
The answer is B
Step-by-step explanation:
Answer:
you can use law of sines
Plug in the values (lol sorry i dont have time)
x / sin(angle) = y / sin(angle)
Where x and y are separate sides.
Hope this Helps! :3
What is the amplitude of the graph of y = 2sin(4x - 1) + 3 ?
Answer: 2
Step-by-step explanation:
The amplitude of the function of graph y = 2sin(4x - 1) + 3 is 2.
What is the graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
What is function?The function is defined as mathematics expression defines a relationship between one variable and another variable.
What is the amplitude of function?A amplitude of function is defined as periodic variable's amplitude is a measure of its change over a single period. A non-periodic signal's magnitude in relation to a standard value is its amplitude.
Given the function of graph as :
y = 2sin(4x - 1) + 3
Comparing the form asin(bx - c) + d to determine the amplitude, period, phase shift, and vertical shift.
Where a is amplitude , d is vertical shift , c/b is phase shift
Amplitude (a): 2
Period: π/2
Phase Shift (c/b): 1/4 (1/4 to the right)
Vertical Shift (d) : 3
Hence, the amplitude of the function of graph y = 2sin(4x - 1) + 3 is 2.
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plsss anybody help no links more files they are viruses
Answer:
1- B & C (Same answer and also I'm not that sure)
2- B: y = 8x (I'm sure of this ^^)
3- Option 3
4- 108 degrees
Answer:
1. C
2. B
3. Option 3
4. 108 degrees
Step-by-step explanation:
1. There cannot be less than 0 people or more then 25 people, but the theatre capacity can be equal to both of these numbers.
2. x is multiplied by 8 to create y, so the equation is y=8x
3. There can't be over 8 refrigerators on the truck, and you can't have a fraction of a refrigerator.
4. One line is 180 degrees. 36+36=72, 180-72= 108 degrees
What is the 8th term of the sequence 1, 3, 9, 27, 81,... .
9514 1404 393
Answer:
2187
Step-by-step explanation:
This geometric sequence has a first term of 1 and a common ratio of 3. Its general term can be written as ...
an = a1·r^(n-1)
an = 3^(n-1)
Then the 8th term is ...
a8 = 3^(8-1) = 2187
Please help,
Find the perimeter of the figure to the nearest hundredth
Answer:
36.56 in
Step-by-step explanation:
perimeter is the sum of all sides
u add all the sides of the square by 6
6+ 6 + 6 + 6 = 24
circumference is the line around the circle
circumference = 3.14 x diameter
c = 3.14 x 4
c = 12.56
24 + 12.56 = 36.56
to the NEAREST HUNDREDTH????? ok welll thats alr
remember
5 or more, raise the score
4 or less, let it rest
this should be fine since the last 6 is alr in the hundredth place :)
like this up !!
Evaluate the expression 4^x/2^x for x=3
Answer:
[tex]\frac{64}{2^3}[/tex]
Step-by-step explanation:
[tex]\frac{4^x}{2^x} = \frac{4^3}{2^3} = \frac{64}{2^{3}}[/tex]
You want to build a fence around your triangular pool. How many meters of fence will you need? If necessary, round t
the nearest tenth.
15 m
13 m
a.
b.
C.
d.
35.5 m
7.5 m
56 m
97.5 m
Answer:
35.5m
Explanation:
Find the diagram attached
First you need to get the missing side of the triangular pool using the pythagoras theorem;
Let the missing side be x
x² = 15² - 13²
x² = 225 - 169
x² = 56
x = √56
x = 7.48m
Amount of meter of fence needed is the perimeter of the triangular pool
perimeter of the triangular pool = 15 + 13 + 7.48
perimeter of the triangular pool = 35.48m
perimeter of the triangular pool = 35.5m
Hence the amount of meters of fence needed is 35.5m
How do I graph this?
Answer:
I would suggest plugging a formula into desmos. De smos graphs are perfect for an scenario as long as you have x and y intercepts. If you dont, Matha way can find that for you
Step-by-step explanation:
Answer:
I suggest using an online grid or drawing a grid and plotting on that
Step-by-step explanation:
Megan surveyed a random sample of 60 students at her school and found that 42 of them ride the bus to school each day. If there are 320 students at Megan’s school, about how many of them ride the bus to school each day?
Answer:
224 student ride the bus to school each day.
Step-by-step explanation:
find a rational number between 8 and 9
[tex]\frac{3}{4}\alpha-1\frac{1}{5}=2\frac{3}{4}[/tex]
A hot air balloon descends from an altitude of 2,000 feet at a constant rate of 90 feet per minute. The graph shows the altitude of the balloon over time. Write a linear function in the form y = mx + b to represent the situation.
Answer:
y=90x+2,000
y=mx+b
Bab in need of help ☹️
Answer:
100 π
Explanation:
Since the equation for the area of a circle is π r^2, and the diameter is 20m. There is enough info to proceed.
First, half the 20m to 10m since the radius is 1/2 of the diameter.
Next, plug this into the formula to get the answer:
π 10^2
π 100
100 π is the answer, since it is looking for it in terms of π.
Answer:
A≈314.16m²
Step-by-step explanation:
I cant write it down lol, I promise its right! :)
Which of the following statements shows the inverse property of addition?
O y + (-y) = 0
Oy+0=y
Oty=y
O y + y = 2y
Answer:
[tex]y + (-y) = 0[/tex]
Step-by-step explanation:
Required
Which represents addition inverse
This property illustrates the addition of a number and its inverse (i,e, negation)
So, we have:
[tex]-y + y = 0[/tex]
or
[tex]y + (-y) = 0[/tex]
when does a linear equation have infinitely many solutions?
Answer:
An equation can have infinitely many solutions when it should satisfy some conditions. The system of an equation has infinitely many solutions when the lines are coincident, and they have the same y-intercept. If the two lines have the same y-intercept and the slope, they are actually in the same exact line.
Step-by-step explanation:
Answer:
Step-by-step explanation:
A linear equation does not actually have solutions; rather, we find the locus of points ( x, y = f(x) ) and draw a straight line through them.
It is a SYSTEM of linear equations that may or may not have solution(s).
If one equation in this system is a multiple of the other, then the two equations represent the same line and the SYSTEM has infinitely many solutions. The graphs of the two equations coincide/overlap.
Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.
I don't want links.
I don't want links.
I don't want links.
Question 1
Answer: C) First and last term
----------------
Explanation:
Recall that (a+b)^2 = a^2+2ab+b^2 when using the FOIL rule. To go in reverse, to factor, we would apply the square root to the a^2 to get 'a', and also apply the square root to b^2 to get b. This then helps form the a+b shown on the left side.
The next question will go over a specific example of what is going on. Note that in question 2, the use of the phrasing "root of the first term" and "root of the last term" which helps reinforce we have the correct answer for problem 1.
=========================================================
Question 2
Answers:
Root of the first term = 9vRoot of the last term = 10----------------
Explanation:
Apply the square root to the first term to get
sqrt(81v^2) = sqrt( (9v)^2 ) = 9v
Or you could note that (9v)^2 = (9v)*(9v) = 81v^2, from which we work in reverse when applying the square root.
Similarly, the square root of the last term is
sqrt(100) = sqrt(10^2) = 10
So that's why the answers are 9v and 10 for the blanks.
We can say:
(a+b)^2 = a^2 + 2ab + b^2
(9v+10)^2 = (9v)^2 + 2(9v)(10) + (10)^2
(9v+10)^2 = 81v^2 + 180v + 100
From previous experience, the owner of an apple orchard knows that the mean weight of Gala apples is 140 grams. There has been more precipitation than usual this year. The owner believes the weights of the apples will be heavier than usual and therefore the crop will be more profitable. This will allow the owner to expand the orchard. The owner takes a random sample of 30 apples and records their mean weight. What is the consequence of a Type I error in this situation?
The owner believes the crop will be more profitable and expands the orchard when the true mean weight of the apples is actually greater than 140 grams.
The owner believes the crop will not be more profitable and does not expand the orchard when the true mean weight of the apples is actually greater than 140 grams.
The owner believes the crop will be more profitable and expands the orchard when the true mean weight of the apples is actually not greater than 140 grams.
The owner believes the crop will not be more profitable and does not expand the orchard when the true mean weight of the apples is actually not greater than 140 grams.
Answer:
C, The owner believes the crop will be more profitable and expands the orchard when the true mean weight of the apples is actually not greater than 140 grams.
Step-by-step explanation:
Using error concepts, it is found that the consequence of a Type I error in this situation in this situation is given by:
The owner believes the crop will be more profitable and expands the orchard when the true mean weight of the apples is actually not greater than 140 grams.
What are the hypotheses test?At the null hypotheses, it is tested if the weights are not heavier, that is:
[tex]H_0: \mu = 140[/tex]
At the alternative hypotheses, it is tested if they are heavier, that is:
[tex]H_1: \mu > 140[/tex]
A Type I error is the rejection of a true null hypothesis, that is, concluding that the weights are heavier and more profitable when they are not. Hence the correct option is:
The owner believes the crop will be more profitable and expands the orchard when the true mean weight of the apples is actually not greater than 140 grams.
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