Answer:
The lift is safe to use.
Step-by-step explanation:
565-88 is 477. The life is safe when the weight is 480 or less.
What is the GCF of x2 and x9?
Answer:
1
Step-by-step explanation:
Answer:
1
GCF of 2 and 9 by Listing Common Factors
The Greatest Common Factor of 2 and 9 is 1.
Evaluate the indefinite integral. Use a capital " C " for any constant term. ∫(3ex+4x5−x34+1)dx= TIP Enter your answer as an expression. Example: 3x∧2+1,x/5,(a+b)/c Be sure your variables match those in the question
The equatiion where C is the constant of integration.To evaluate the indefinite integral ∫(3e^x + 4x^5 - x^3/4 + 1)dx, we can integrate each term separately.
∫3e^x dx = 3∫e^x dx = 3e^x + C₁
∫4x^5 dx = 4∫x^5 dx = 4 * (1/6)x^6 + C₂ = (2/3)x^6 + C₂
∫-x^3/4 dx = (-1/4)∫x^3 dx = (-1/4) * (1/4)x^4 + C₃ = (-1/16)x^4 + C₃
∫1 dx = x + C₄
Now, we can combine these results to obtain the final answer:
∫(3e^x + 4x^5 - x^3/4 + 1)dx = 3e^x + (2/3)x^6 - (1/16)x^4 + x + C
Therefore, the indefinite integral of (3e^x + 4x^5 - x^3/4 + 1)dx is:
∫(3e^x + 4x^5 - x^3/4 + 1)dx = 3e^x + (2/3)x^6 - (1/16)x^4 + x + C
where C is the constant of integration.
Learn more about integration here:brainly.com/question/32510822
#SPJ11
Simplify this question
\(4 + \sqrt{ - 16} \\ = 4 + \sqrt{ - 2 \times 2 \times 2 \times 2} \\ = 4 + 2\sqrt{ - 4} \\ = 2(2 + \sqrt{ - 4} )\)
Hope you could get an idea from here.
Doubt clarification - use comment section.
\(\\ \sf\longmapsto 4+√-16\)
\(\\ \sf\longmapsto 4+√16i\)
\(\\ \sf\longmapsto 4+4i\)
Take 4common\(\\ \sf\longmapsto 4(1+i)\)
what value of x makes this equation true?
Answer:
\(x=9/4=2.25\)
Step-by-step explanation:
The model is essentially saying:
\(3(-x)+10(1)=5(x)+8(-1)\)
Simplify:
\(-3x+10=5x-8\)
Subtract 5x from both sides:
\(-8x+10=-8\)
Subtract 10 from both sides:
\(-8x=-18\)
Divide both sides by -8. The negatives cancel:
\(x=18/8\)
Reduce:
\(x=9/4=2.25\)
And we're done!
Find the vector that has the same direction as (2, 6, -3) but has length 2.
The vector that has the same direction as (2, 6, -3) but has a length of 2 is (4/7, 12/7, -6/7).
To find the vector that has the same direction as (2, 6, -3) but has a length of 2, we will first normalize the given vector and then scale it by the desired length.
Calculate the magnitude (length) of the given vector (2, 6, -3).
Magnitude = √(x^2 + y^2 + z^2) = √(2^2 + 6^2 + (-3)^2) = √(4 + 36 + 9) = √49 = 7
Normalize the given vector by dividing each component by its magnitude.
Normalized vector = (x/magnitude, y/magnitude, z/magnitude) = (2/7, 6/7, -3/7)
Step 3: Scale the normalized vector by the desired length (2).
Scaled vector = (desired length * x, desired length * y, desired length * z) = (2 * 2/7, 2 * 6/7, 2 * -3/7) = (4/7, 12/7, -6/7)
So, the vector that has the same direction as (2, 6, -3) but has a length of 2 is (4/7, 12/7, -6/7).
Learn more about vector
brainly.com/question/29740341
#SPJ11
In construction, floor space must be
planned for staircases. If the vertical
distance between the first and second
floors is 3.6 meters, and a contractor
is using the standard step pattern of
28 cm wide for 18 cm high, then how
many steps are needed to get from
the first to the second floor and how
much linear distance (ie "width" or
"base") will be needed for the
staircase? What is the length of the
railing that would be attached to
these stairs?
By using Pythagoras Theorem, it can be calculated that
Number of steps of the staircase is 20
Width of the base of the staircase is 560 cm
Length of the railing attached to the stairs = 665.73 cm
What is Pythagoras Theorem?
Pythagoras Theorem states that in a right angled triangle, the sum of the square of perpendicular and base is equal to the square of the hypotenuse.
Vertical distance between the first and second floor = 3.6 m = 360 cm
Height of one step = 18 cm
Number of steps = \(\frac{360}{18}\) steps
= 20 steps
Width of the base = 28 \(\times\) 20 = 560 cm
Let the length of the railing attached to the stairs be x cm
By Pythagoras Theorem,
\(x^2 = 560^2 + 360^2\\x^2 = 313600 + 129600\\x^2 = 443200\\x = \sqrt{443200}\\x = 665.73 \ cm\)
Length of the railing = 665.73 cm
To learn more about Pythagoras Theorem, refer to the link-
https://brainly.com/question/343682
#SPJ1
Simplify the rational expression. 3x^3+4x+5/x+3
Answer:
hey its 8
Step-by-step explanation:
Hold on, our servers are swamped. Wait for your answer to fully load.
What is the approximate percent change in a temperature that went down from 120 degrees to 100 degrees?
A. The percent change is approximately 17%.
B. The percent change is approximately 20%.
C. The percent change is approximately 80%.
D. The percent change is approximately 120%.
Answer:
a
Step-by-step explanation:
If 7x + 3 = 24, what is the value of 5 - 4x?
Answer:
Step-by-step explanation:
7x + 3= 24
7x= 24-3
7x= 21
x= 21/7
x= 3
Then we have that
5-4x
5-4(3)
5-12
Answer= -7
PLEASE HELP SEE PHOTO
[-00,-3] or (6,o)
(-οο,-3] or [6,o)
(-0,-3) or (6,o)
(-η, -3] or (6, ω)
Rewrite one eighteenthx3y + seven eighteenthsxy2 using a common factor.
one thirdxy(6x2 + 7y)
one thirdx2y(6x2 + 9y)
one eighteenthxy(x2 + 7y)
one eighteenthx3y2(y + 7)
Answer:
C
Step-by-step explanation:
1/18 x³y + 7/18 xy²
1/18 xy (x² + 7y)
consists of abnormal behaviors identical to those in schizophrenia that have persisted for at least 1 month but fewer than 6 months.
The description refers to the diagnosis of brief psychotic disorder, which consists of abnormal behaviors identical to those in schizophrenia lasting for at least 1 month but fewer than 6 months.
Brief psychotic disorder is a psychiatric diagnosis characterized by the presence of psychotic symptoms, such as hallucinations, delusions, disorganized thinking, or grossly disorganized or catatonic behavior. These symptoms are similar to those seen in schizophrenia, but the key distinction is that brief psychotic disorder lasts for a shorter duration, specifically between 1 month and 6 months.
During this period, individuals with brief psychotic disorder may experience a sudden onset of symptoms that significantly impact their thoughts, emotions, and behavior. However, unlike schizophrenia, the duration of symptoms in brief psychotic disorder is limited, typically resolving within a few weeks to a few months.
To know more about diagnosis,
https://brainly.com/question/28274987
#SPJ11
a characteristic, usually a numerical value, which describes a sample is called a _______. a. parameter b. statistic C. constant d. variable
Answer: B. statistic
Step-by-step explanation: A characteristic, usually a numerical value, which describes a sample, is called a statistic.
a sample is a subset of all possible data values for a given subject under consideration. t/f
It is true to say that a subset of data values is a sample.
A sample is characterized as a more manageable and compact version of a bigger group. It is a smaller population that shares traits with a larger population.The population members who are invited to take part in surveys are considered the sample.When should we use samples rather than the population?When the population is just too largeWhen we have limited timeThere are two types of sampling techniques:
Probability (simple random sampling, stratified sampling, etc.) and non-probability (snowball sampling, purposive sampling, etc.) sampling techniques.
Meanwhile, the population refers to the total number of items. It can be items, people, etc. For example, the population would be all the students in an area or all the employees in a company.
Learn more about sample here:
https://brainly.com/question/7301139
#SPJ4
Please help
5(-3+ k) = 20
Hey there!
5 (-3 + k) = 20
-15 + 5k = 20
5k = 20 + 15
5k = 35
k = 35 ÷ 5
k = 7
Hope it helps ya!
\(\boxed{\underline{\bf \: ANSWER}}\)
\( \tt \: 5( - 3 + k) = 20 \\ \tt = (5 \times - 3 )+( 5 \times k) \\ = \underline{ \bf{ - 15 + 5k}}\)
Hope it helps!
RainbowSalt2222
A pet store has three fish tanks, each holding a different volume of water and a different number of fish. Tank A has 5 fishes with a volume of 40 liters. Tank B has 12 fishes with a volume of 100 liters. Tank C has 23 fishes with a volume of 180,000 milliliters. Which tank has the greatest volume per fish?
Answer:
Tank B
Step-by-step explanation:
A pet store has three fish tanks, each holding a different volume of water and a different number of fish.
a) Tank A has 5 fishes with a volume of 40 liters.
Volume per fish = 40 liters/5 fishes
= 8 liters/fish
b) Tank B has 12 fishes with a volume of 100 liters.
Volume per fish = 100 liters/12 fishes
= 8.33 liters/ fish
c) Tank C has 23 fishes with a volume of 180,000 milliliters.
Convert 180,000 milliliters to liters
1 milliliter = 0.001 liter
180,000 milliliters = x
x = 180,000ml × 0.001 l
x = 180 liters
Volume per fish = 180 liters/23 fishes
= 7.8260869565 volume per fish
Approximately = 7.83 liters/fish
Which tank has the greatest volume per fish?
The tank that had the greatest volume per fish is Tank B at 8.33 liters/ fish
name three solutions of the inequality of z < 4
the answer is: 1,2,3
the inequality represents less than, meaning the value of z is less than 4
which leaves us with 3 numbers, 1, 2 and 3
Divide. Write the quotient in lowest terms. 4\dfrac{2}{3} \div 7 =4 3 2 ÷7=4, start fraction, 2, divided by, 3, end fraction, divided by, 7, equals
Answer:
\(\dfrac{2}{3}\)
Step-by-step explanation:
Given the quotient: \(4\dfrac{2}{3} \div 7\)
Step 1: Write \(4\dfrac{2}{3}\) in improper fraction.
\(4\dfrac{2}{3}=\dfrac{14}{3}\)
Therefore:
\(4\dfrac{2}{3} \div 7=\dfrac{14}{3} \div 7\)
Step 2: Change the division sign to multiplication by taking the reciprocal of 7
\(\dfrac{14}{3} \div 7 =\dfrac{14}{3} X\dfrac{1}{7} \\$Simplify\\\\=\dfrac{2}{3}\)
Answer:
2/3
Step-by-step explanation:
i did it in khan academy
What is an angle that is supplementary to
Answer: Please check below
Step-by-step explanation:
So we know that a supplementary angle is always 180 degree angle. 180 is basically a straight angle. So DEB is a straight line. Due to this we can tell that one of the supplementary angles could be DEC. Thank you!
Note: There are many solutions but DEB is one of them.
Problem 3 Find the three arithmetic means between 2.5 and 12.5
please give explanation
i will give brainliest
please use this equation an = a1 +d(n −1)
i will give brailiest who ever anser first asap
Therefore , the solution of the given problem of arithmetic mean comes out to be 2.5 to 12.5 there are three arithmetic means: 5, 7.5, and 10.
An arithmetic mean is what?The typical values of a list, often known sequence as the organization's goals, are calculated by adding up all of the values on the list. Afterwards, these average figures are corrected using the percentage of list elements with the highest density. Growth patterns in mathematics are comparable. The true average of the numbers 5, 7, and 9 is 4, and by adding three, the number 21 becomes seven.
Here,
The following formula can be used to determine an arithmetic sequence's nth term:
=> an = a1 + d(n - 1)
The first term is known to be a1 = 2.5, and the fifth term is known to be a5 = 12.5. We can find d by using the above formula:
=> a5 = a1 + d(5 - 1) (5 - 1)
=> 12.5 = 2.5 + 4d
=> 10 = 4d
=> d = 2.5
Hence, 2.5 is the typical difference between two successive words.
The second, third, and fourth terms are the three arithmetic means. As a result, we have:
=> a1 = 2.5
=> a2 = a1 + d = 2.5 + 2.5 = 5
=> a3 = a2 + d = 5 + 2.5 = 7.5
=> a4 = a3 + d = 7.5 + 2.5 = 10
In this range of 2.5 to 12.5 there are three arithmetic means: 5, 7.5, and 10.
To know more about arithmetic mean , visit
brainly.com/question/13000783
#SPJ1
the number of states that entered the union in 1889 was half the number of states "s" that entered in 1788. which expression shows the number of states that entered the union in 1889
Answer:
x = s/2
Step-by-step explanation:
● s states have joined the union in 1788
● half of s have joined in 1889
Let x be the number of states that have joined in 1889
● x = (1/2)× s
● x = s/2
Write a proof. If two angles are both supplementary to congruent angles then they are congruent.
There is a theorem that says:
If two angles are supplementar to two other congruent angles, then they're congruent.
For example:
So,
\(<1\cong<3\)About 142 million people in the United States watch online videos. If 44.02 watch news stories, about what percent watch news stories?
Answer:
31% Watch news stories
Step-by-step explanation:
A number, h, rounded to 1 d.p. is 47.2
Another number, k, rounded to 1 d.p. is 4.8
What are the lower and upper bounds of
h - k?
The lower and upper bounds of h - k are 42.31 and 42.49 respectively.
Upper and lower bounds are the maximum and minimum values that a number could have been before it was rounded. They can also be called limits of accuracy.
The upper and lower bounds can be written using error intervals
The lowest value of h is 47.15
The greatest value of h is 47.24
The greatest value of k is 4.84
The lowest value of k is 4.75
Thus upper bound of h -k = 47.24 - 4.75 = 42.49
Thus lower bound of h -k = 47.15 - 4.84 = 42.31
Thus the lower and upper bounds of h - k are 42.31 and 42.49 respectively.
Learn more about Upper and lower bounds here :
https://brainly.com/question/28135761
#SPJ1
For the figure below, give the following. (a) one pair of vertical angles (b) one pair of angles that form a linear pair (c) one pair of angles that are supplementary 3/4
Answer:
(a)∠1 and ∠6.
(b)∠5 and ∠6.
(c)∠3 and ∠4.
Explanation:
(a)Vertical Angles are angles that form an X-Shape.
A pair of vertical angles is ∠1 and ∠6.
(b)Linear pairs are two angles on a straight line that adds up to 180 degrees.
A linear pair is ∠5 and ∠6.
(c)A pair of supplementary angles are two angles that add up to 180 degrees.
An example is ∠3 and ∠4.
triangle l m n is rotated 180° clockwise about point m, and then translated up. the result is triangle q r p. questionmove a side and an angle to the lines to show corresponding parts in the two triangles.response area with 2 blank spacesside l m corresponds to sideblank space 1 empty. angle l corresponds to angleblank space 2 empty.answer options with 6 options.
In triangle LMN, side LM corresponds to side QR, side MN corresponds to side RP, side NL corresponds to side PQ, angle L corresponds to angle Q, angle M corresponds to angle R, and angle N corresponds to angle P in triangle QRP.
When triangle LMN is rotated 180° clockwise about point M and then translated up, it becomes triangle QRP.
To identify the corresponding parts in the two triangles, let's start with the sides:
1. Side LM corresponds to side QR.
2. Side MN corresponds to side RP.
3. Side NL corresponds to side PQ.
Now let's move on to the angles:
1. Angle L corresponds to angle Q.
2. Angle M corresponds to angle R.
3. Angle N corresponds to angle P.
So, in triangle LMN, side LM corresponds to side QR, side MN corresponds to side RP, side NL corresponds to side PQ, angle L corresponds to angle Q, angle M corresponds to angle R, and angle N corresponds to angle P in triangle QRP.
Learn more about triangle LMN triangle QRP. https://brainly.com/question/18052960
#SPJ11
The given figure shows a small garden. The shaded area is
reserved for planting flowers and the rest of the area is for
grass. Find the ratio of the area of the garden reserved for
planting flowers to the area reserved for grass.
Answer:
2 : 3
Step-by-step explanation:
We'll begin by calculating the area of the entire garden. This can be obtained as follow:
Length of garden (L) = 12 m
Width of garden (W) = 5 m
Area of entire garden (A) =?
A = L × W
A = 12 × 5
Area of entire garden is 60 m²
Next, we shall determine the area of the garden reserved for flower. This can be obtained as follow:
Length of flower garden (L₁) = 12 – 4
= 8 m
Width of flower garden (W₁) = 3 m
Area of flower garden (A₁) =?
A₁ = L₁ × W₁
A₁ = 8 × 3
A₁ = 24 m²
Next, we shall determine the area of the garden reserved for grass. This can be obtained as follow:
Area of entire garden (A) = 60 m²
Area of flower garden (A₁) = 24 m²
Area of grass garden (A₂) =?
A = A₁ + A₂
60 = 24 + A₂
Collect like terms
A₂ = 60 – 24
A₂ = 36 m²
Finally, we shall determine the ratio of the area of the garden reserved for flowers to the area reserved for grass. This can be obtained as follow:
Area of flower garden (A₁) = 24 m²
Area of grass garden (A₂) = 36 m²
Ratio of flower garden to grass garden = A₁ : A₂
= 24 : 36
= 24 / 36
= 2 : 3
Therefore, the ratio of the area of the garden reserved for flowers to the area reserved for grass is 2 : 3
Which shows the numbers One-tenth, 0.9, Three-tenths in order from least to greatest?
One-tenth, Three-tenths, 0.9
0.9, Three-tenths, One-tenth
0.9, One-tenth, Three-tenths
Three-tenths, 0.9, One-tenth
Answer:
Its A sorry im late
would it be possible to use 14c age dating to estimate the age of a dinosaur bone? explain. (1 pt) hint: dinosaurs became extinct 66.5 million years ago.
Yes, it would be possible to use 14C age dating to estimate the age of a dinosaur bone.
Explanation:14C dating is a method used to determine the age of once-living organisms based on the radioactive decay of carbon-14 in their tissues. However, 14C dating is only effective for samples that are less than 50,000 years old. Therefore, it is not possible to use 14C dating to directly date dinosaur bones as they are much older than 50,000 years, and all the carbon-14 would have already decayed.
However, indirect dating methods such as radiometric dating can be used to estimate the age of the rocks in which the dinosaur bones were found. This method is based on the radioactive decay of isotopes in the rocks and can be used to determine the age of the rocks to within a few million years. By association, the age of the dinosaur bones can also be estimated, providing an indirect method of dating them. Therefore, while 14C dating is not useful for directly dating dinosaur bones, it can be used indirectly to estimate their age.
Know more about 14C dating here:
https://brainly.com/question/28339237
#SPJ11
suppose quadrilaterals a and b are both squares. determine whether the statement below is true or false. select the correct choice.a and b are scale copies of one another.
The statement "Quadrilaterals A and B are both squares" does not provide enough information to determine whether A and B are scale copies of one another.
To determine if two quadrilaterals are scale copies of each other, we need to compare their corresponding sides and angles. If the corresponding sides of two quadrilaterals are proportional and their corresponding angles are congruent, then they are scale copies of each other.
In this case, since both A and B are squares, we know that all of their angles are right angles (90 degrees). However, we do not have any information about the lengths of their sides. Without knowing the lengths of the sides of A and B, we cannot determine if they are scale copies of each other.
Therefore, the statement cannot be determined as true or false based on the given information.
Know more about Proportional here:
https://brainly.com/question/31548894
#SPJ11