Answer:11/57
Step-by-step explanation:
If (a − b)² = 40 and ab = 8, find a² + b².
Answer:
a² + b² = 56
Step-by-step explanation:
(a - b)² = a² - 2ab + b² ← substitute values
40 = a² - 2(8) + b²
40 = a² - 16 + b² ( add 16 to both sides )
56 = a² + b²
Find the measure of angle b
66°
b
The measure of angle is 24°.
We are given the two sides of the triangle as:
25 units and 10 units
Since the able that need to be found lies at 25 units side, the base side will be that only.
So, we get that:
Base side = B = 25 units
Perpendicular side = P = 10 units
We know that:
tan θ = P / B
tan θ = 10 / 25
tan θ = 2 / 5
θ = tan⁻¹ ( 2/ 5)
which will be approximately equal to
θ = 24°
Therefore, we get that, the measure of angle is 24°.
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Your question was incomplete. Please refer the content below:
Find the measure of the indicated angle to the nearest degree
a. 66
b. 22
c. 24
d. 68
Fill in the table using this function rule.
y=5x+3
Answer:
Step-by-step explanation:
5(1) + 3 = 5 + 3 = 8
(1,8)
5(3) + 3 = 8 + 3 = 11
(3, 11)
5(9) + 3 = 45 + 3 = 48
(9, 48)
5(10) + 3 = 50 + 3 = 53
(10, 53)
Translate the sentence into an inequality. twice x is at most 25. what is the answer
The answer is [tex]2x\leq 25[/tex] .
An inequality compares two values and indicates whether one is less than, greater than, or equal to another.a ≠ b indicates that a is not equal to ba < b indicates that a is less than ba > b indicates that a is greater than b (These two are known as strict inequalities)a ≤ b means that a is less than or equal to ba ≥ b means that a is greater than or equal to b.It is given that twice of x is at most .
“At most” refers to a maximum amount.
“At most” means that any number less than the number presented is acceptable or true,
In mathematically , it is represented as
[tex]2x\leq 25[/tex]
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Quadrilateral WXYZ is a rectangle.
If X W=3, W Z=4 , and X Z=b , find Y W .
The length of the diagonal YW of rectangle WXYZ is; 5 units.
How to find the diagonals of a rectangle?
The diagonals of a rectangle are congruent and so;
YW ≅ XZ
Thus; YW = XZ = b
Now, given the three sides of right triangle XWZ, we can solve for XZ using Pythagorean Theorem:
(XW)² + (WZ)² = (XZ)²
Plugging in the relevant values gives;
3² + 4² = b²
9 + 16 = b²
25 = b²
b = √25
b = 5
Thus, we can conclude that the length of the diagonal YW is 5 units.
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What is the geometry around the central atom in the tert-butyl anion? a molecule with smiles string c[c-](c)c trigonal pyramidal bent trigonal planar trigonal bipyramidal t-shaped
The correct option is "trigonal pyramidal"
The geometry around the central atom in the tert-butyl anion is trigonal pyramidal.
What is tert-butyl anion?The third form has three carbons single bonded to a fourth carbon in the center, and the rest of a molecule is connected to the center carbon. In common parlance, this configuration is known as t-butyl or tert-butyl.
Some key features regarding the trigonal pyramidal are-
Trigonal planar is one molecular geometry that occurs if there are three bonds but no lone pairs in the molecule's central atom. The pairs have been arranged in a 120-degree angle along the central atom's equator. Sp²d hybridization occurs at the central atom of molecules with this geometry. This is the geometry of a tert-butyl radical's central carbon atom.To know more about trigonal pyramidal, here
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Looking Ahead Vocabulary
28. The current of a river flows north at a constant rate. What is the constant in the
mathematical expression 3x + 5y +3?
Answer:
The constant would be 3 in the question
Step-by-step explanation:
The phenomenon that the sampling distribution of the sample mean can be approximated by a normal distribution as the sample size become large is called:______.
The phenomenon that the sampling distribution of the sample mean can be approximated by a normal distribution as the sample size become large is called: Central Limit Theorem.
What is Central Limit Theorem?The central limit theorem (CLT) of probability theory states that, under the assumption that all samples are of equal size and regardless of the population's actual distribution shape, the distribution of a sample variable approaches a normal distribution (i.e., a "bell curve") as the sample size increases.
Now,
As stated in the definition of the Central Limit Theorem, sampling distribution of the sample mean can be approximated by a normal distribution as the sample size become large with the help of the stated theorem.
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9/10 miles in 5 minutes how many miles in 1 minute
Answer:
in 5 minutes=9/10 miles
In 1 minutes= 9/10/5 miles
= 9/10*1/5
=9/50 miles
What is 2,567,653,987+2,000,000,245
Answer: 4,567,654,232
Step-by-step explanation:
2,567,653,987+2,000,000,245=
4,567,653,987+245=4,567,654,232
Use this to calculate the area of a square that has perimeter 6 units
Answer: daddy 123 456
Step-by-step explanation:
696969696
Write 7^-6 using a positive exponent.
Answer:
7^-6
1/7^6 ( using law of negative index)
Answer:
Other person is correct.
Step-by-step explanation:
:>
the points (0, 5) and (0, −5) are the endpoints of the diameter of a circle. the point (3, �) is on the circle, in quadrant 4. what is the value of y?
Using the equation of a circle, it is found that the value of y is -4.
Equation of the circle:
A circle is a closed curve that is drawn from the fixed point called the center, in which all the points on the curve are having the same distance from the center point of the center.
The equation of a circle with (h, k) center and r radius is given by:
(x-h)² + (y-k)² = r²
Given,
The points (0, 5) and (0, −5) are the endpoints of the diameter of a circle.
The point (3, y) is on the circle, in quadrant 4.
Here we need to find the value of y.
The center is the midpoint of them, thus:
[tex]x=\frac{0+0}{2}=0\\ y=\frac{5-5}{2}=0[/tex]
So, the midpoint is (0,0).
The diameter(twice the radius) is the distance between these two points, so:
[tex]2r=\sqrt{(0-0)^2+(5-(-5))^2}[/tex]
=> 2r = √0+100
=> 2r = √100
=> 2r = 10
=> r = 5
Thus, the equation of the circle is:
=> x² + y² = r²
Apply the values,
=> x² + y² = 5²
=> x² + y² = 25
The point (3,y) is on the circle, in quadrant 4. This means that:
Replacing x by 3, we can find the value of y.
Quadrant 4 means that y < 0.
Then:
=> 3² + y² = 25
=> y² = 25 - 9
=> y² = 16
=> y = ±√16
=> y = - 4
The value of y is -4.
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The population of a small country is 2.437 million and its national debt is $6.39 billion. What is the amount of debt per person? Round to the nearest whole number.
By taking the quotient between the total debt and the number of people, we conclude that the debt per person is $2,622
What is the amount of debt per person?
To find the amount of debt per person, we need to find the quotient between the total amount of debt and the number of people.
Here the total debt is:
$6.39 billion = $6.39*10^9
And the total number of people is:
2.437 million = 2.437*10^6
Then the quotient is:
Q = ($6.39*10^9)/( 2.437*10^6) = $2.622*10^3
The debt per person is:
Q = $2.622*10^3 = $2,622
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-2-12(-2x-3) apply distributive property
Please i need asap!!
I think this is the answer, I totally forgot what distributive property is.
wait. im not so sure, ignore me if you don't think im right
A 9,000 deposit for 4 years at a compound interest rate of 6%
Answer:
Your answer is $11,362
I hope this helps!
B = {1,
2}ional
(3, 5, 7, 9
Order each set of numbers from least to greatest.
8. √200, 14, 41/3
The set of numbers ordered from least to greatest is- 41/3, 14, √200.
Here, we are given a set of numbers- √200, 14, 41/3
In order to compare the numbers, we first need to convert all of them into decimal or integer numbers.
Let us analyze them one by one
1. √200
we know that √100 = 10
⇒ √200 = 10√2
√2 = 1.414
Thus, 10√2 = 14.14
2. 14
As we can clearly see 14 < 14.14
⇒ 14 < √200
3. 41/3
Dividing 41 by 3, we get-
13.66
Now, we can see that 13.66 < 14 < 14.14
⇒ 41/3 < 14 < √200
Thus, the set of numbers ordered from least to greatest is- 41/3, 14, √200.
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Determine the truth value of the following conditional statement. If true, explain your reasoning. If false , give a counterexample.
If pigs can fly, then 2+5=7 .
The truth value of the statement; If pigs can fly, then 2+5=7 is false.
What is syllogism?The term syllogism has to do with logical reasoning. In this case, the premise must lead to the conclusion. The premise is the basis upon which we could draw the conclusion. The truth value of the premise is what determines the truth value of the conclusion as one naturally follows from the other.
Now, in this case we have a conditional statement. Recall that a conditional statement is an if – then statement. The truth value of the premise has an impact on the truth value of the conclusion. We have the statement written in the manner; If pigs can fly, then 2+5=7 .
We know that pigs can not fly. This is a false premise. However, the conclusion that has been given is true by the principle of addition in mathematics. The truth value of the statement is false.
An example of a truth value in which both the premise and the conclusion are true is; If lions are wild animals then lions are one of the animals found in the forest.
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If £2000 is placed into a bank account that pays 3% compound interest per year,
how much will be in the account after 2 years?
Suppose $2000 is deposited in a bank account with an annual compound interest rate of 3%. After two years, we will have accumulated 121.80 in interest on your initial 2000 deposit.
What is compound interest?Compound interest is, to put it simply, interest that is earned on interest. Compound interest is interest that is earned on both the initial principal and interest that builds up over time in a savings account.
There may be a difference in the timing of when interest is paid out and compounded. For instance, interest on a savings account may be paid monthly but compounded daily. The account balance plus any interest that has accrued but has not yet been paid out are used by the bank to determine your daily interest earnings.
For the above question:
Account Balance = Principal x (1 + interest rate (decimal))^number of the years. With given information this is: [tex]2000 (1.03)^2[/tex] = 2,121.80. So we will earn 121.80 in interest after the 2 years on your original 2000 deposit.
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10-5/1 +7n ≥-30
Help me this hard
Answer:0.289x100
Step-by-step explanation:
Answer:
n ≥ - 5
Step-by-step explanation:
10 - 5/1 + 7n ≥ - 30 , simplifying left side
10 - 5 + 7n ≥ - 30
5 + 7n ≥ - 30 ( subtract 5 from both sides )
7n ≥ - 35 ( divide both sides by 7 )
n ≥ - 5
Describe the sample variance using words rather than a formula. do the same with the population variance.
Sample variance is a term that be defined as the outcome of the squared difference of any given data points that is said to be obtained from the mean of the data set.
What is the sample variance?It is also known to be a form of an absolute measure of a dispersion and is known also to be used to examine the deviation of data points with regards to the data's average.
Population variance is a term that is defined as a measure of the de spread of population data.
Therefore, Sample variance is a term that be defined as the outcome of the squared difference of any given data points that is said to be obtained from the mean of the data set.
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Can someone help me I’m confused
Please help me please help me
Answer: A
Step-by-step explanation: Translate up 1 unit, over to the right 5
Find the value of LK
Answer:
LK = 7
Step-by-step explanation:
We are using segment addition
NM + ML + LK = NK
x-6 + 9 + 2x-19 = 23
Combine like terms
x+2x -6+9-19 = 23
3x -16 = 23
Add 16 to each side
3x-16+16 = 23+16
3x = 39
Divide each side by 3
3x/3 = 39/3
x = 13
We want to find the value of LK
LK = 2x-19
=2(13) -19
= 26 -19
= 7
Answer:
[tex]\sf \: LK = 7 \: units[/tex]
Step-by-step explanation:
It's clear that,
[tex] \sf \: NM + ML + LK = NK[/tex]
Given that,
NM ---> x - 6
ML ---> 9
LK ---> 2x - 19
NK ---> 23
First, let us find the value of x using these values.
[tex] \sf \: NM + ML + LK = NK \\ \sf x - 6 + 9 + 2x - 19 = 23 \\ \sf \: combine \: like \: terms. \\ \sf \: 3x - 16 = 23 \\ \sf3x = 23 + 16 \\ \sf3x = 39 \\ \sf \: divide \: both \: sides \: by \: 3. \\ \sf \: x = 13[/tex]
And now we have to find out the length of LK.
As we mentioned before,
LK = 2x - 19
So, to find the length of LK, we have to replace x with 13 and solve the equation.
Let us solve now.
[tex] \sf \: LK = 2x - 19 \\ \sf \: LK = 2 \times 13 - 19 \\ \sf \: LK = 26- 19 \\ \sf \: LK = 7 \: units[/tex]
You are backpacking through Europe. You have 30 days until your flight home, but you have spent all
have found a hotel that is willing to accept one link per night for payment of room and board. However,
the manager
that they want one gold link in payment for every link they cut. How many links will you have when
you call home?
Answer:
29
Step-by-step explanation:
Itvis the correct answer in my opinion
Solve the math problem
1) A heart is equal to 5 units, a star to 13 units and a square to 20 units.
2) A star is equal to 66 units, a circle to 30 units and a triangle to 14 units.
How to solve a system of symbols by abstract thinking
Herein we find two case of systems of elements which have to be solved on the fact that each element represents a quantity. Now we proceed to represent each system:
Case 1
x - Heart
y - Star
z - Square
The algebraic representation of the system is shown below:
18 - x = y (1)
2 · x = 10 (2)
z - y - 2 = x (3)
By (2):
x = 5
By (1):
y = 18 - 5
y = 13
By (3):
z = x + y + 2
z = 5 + 13 + 2
z = 20
Case 2
x - Triangle
y - Star
z - Circle
The algebraic representation of the system is shown below:
2 · x = 28 (1)
80 - x = y (2)
y + x - z = 50 (3)
By (1):
x = 14
By (2):
y = 80 - 14
y = 66
By (3):
z = y + x - 50
z = 66 + 14 - 50
z = 30
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8. 8x-2y 10 xy (if x = 4 and y = -7)
can someone help me really quick
Answer:
last one h babysat for 6 hours
please help i cant do it rn
Answer:
2/35
Step-by-step explanation:
Given that,
→ (6/7) - (4/5)
Let's solve the problem,
→ (6/7) - (4/5)
→ (30/35) - (28/35)
→ (30 - 28)/35
→ 2/35
Thus, the answer is 2/35.
There are 32 students in the middle school choir. How can this number be written as a power with a base of 2? Explain how you found your answer.
The number 32 can be written as a power with a base of 2 as 2^5
What is index form?The index form of a number is defined as that number represented as an exponential expression, or even a single number raised to another number.
Example;
2^n
3^3
From the information given, we have to determine the index form of 32
It is expressed in the base of 2 as;
32 = 2 × 2 × 2 × 2 × 2
32 = 2^5
Thus, the number 32 can be written as a power with a base of 2 as 2^5
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