Opposite angles in a quadrilateral inscribed in a circle add up to 180, therefore:
\(\begin{gathered} m\angle ACD+m\angle ABD=180 \\ 54+m\angle ABD=180 \\ m\angle ABD=180-54 \\ m\angle ABD=126^{\circ} \end{gathered}\)Answer:
b. 126
1/9 ÷5/4 plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
Answer:
0.8888888888
Step-by-step explanation:
that decimal just convert it to a fractoin
Lovely Landscapes has been contracted to plant some trees and bushes at a new park in Townsend. They have a budget of $1008. Each tree(x)costs $63 and each bush(y) costs $28. Write the equation that represents the situation: no spaces,no dollar signs
The equation will be
\(63x+28y=1008\)Help me please fast fast fast
Answer:
4
Step-by-step explanation:
\((\frac{1}{2})^2\times(3\times5-3)+1^3\)
This is an order of operations problem. II'll use using PEMDAS here:
P: Evaluate expressions in parenthesis firstE: Evaluate terms with exponentsMD: Evaluate multiplication and division from left to rightAS: Evaluate addition and subtraction from left to rightParenthesis first. The first expression in parenthesis is already as simplified as it gets, so up next is the second one:
\(3\times5-3\)
There are no parenthesis and there are no exponents, so do the multiplication first.
\(\rightarrow 3\times5-3\\\rightarrow 15-3\\\rightarrow 12\)
Back to the original expression and we now have:
\((\frac{1}{2})^2\times(12)+1^3\)
Exponents comes next:
\(\rightarrow (\frac{1}{2})^2=\frac{1^2}{2^2}=\frac{1}{4}\\\\\rightarrow 1^3=1\)
Now we have:
\(\frac{1}{4}\times12+1\)
Multiplication comes next:
\(\rightarrow \frac{1}{4}\times12=\frac{1}{4}\times\frac{12}{1}=\frac{12}{4}=3\\\\3+1\)
Finally, addition.
\(3+1=4\)
Someone please help!
Write the function h(x) = -5 (x - 1)^2 + 3 in standard form.
Answer:
\(h(x)=-5x^2+10x-2\)
Step-by-step explanation:
\(h(x) = -5 (x - 1)^2 + 3\\\\\implies h(x) = -5 (x - 1)^2 + 3\\\\\implies h(x)=-5(x^2-2x+1)+3\\\\\implies h(x) = -5x^2+10x-5+3\\\\\implies h(x)=-5x^2+10x-2\)
Un profesor de Enseñanza Básica le indica a sus alumnos que escojan tres dígitos
diferentes del conjunto {1, 2, 3, 4, 5} y formen números mixtos colocando los dígitos
en el casillero . También les recuerda que la parte fraccionaria tiene que ser
menor que 1, por ejemplo
2
3
5
. ¿Cuál es la diferencia entre el mayor y el menor de los
números mixtos que se pueden formar?
Enseñanza Básica is the term used to describe the first level of education in the Chilean education system, which includes the first to eighth grades. A teacher of Enseñanza Básica asked his students to choose three-digit mixed numbers that can be formed.
A mixed number is a number that has both a whole number and a fraction component. To form three-digit mixed numbers, we need to have a whole number that is less than 100 and a proper fraction that has a denominator less than or equal to 99. Here are some examples:123 4/567 2/8109 1/2382 3/47There are a total of 900 three-digit numbers that can be formed using digits 1 to 9 without repetition. To find the number of three-digit mixed numbers that can be formed, we need to count the number of ways we can choose a proper fraction with a denominator less than or equal to 99. There are 99 possible denominators, and for each denominator, there are 98 possible numerators (excluding 0 and the denominator itself). Therefore, the total number of three-digit mixed numbers that can be formed is:900 x 99 x 98 = 8,334,600There are 8,334,600 three-digit mixed numbers that can be formed using digits 1 to 9 without repetition.For such more question on fraction
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The difference between the greatest and the least mixed numbers is 9.87 - 6.0789 ≈ 3.7911.
How to solveThe three digits different from {1, 2, 3, 4, 5} can be chosen from {0, 6, 7, 8, 9}.
The greatest mixed number is formed by placing the largest digit as the whole number and the remaining two digits as the fraction in descending order, i.e., 9 87/100 or 9.87.
The smallest mixed number is formed by placing the smallest non-zero digit as the whole number and the remaining two digits as the fraction in ascending order, i.e., 6 07/90 or 6.0789.
The difference between the greatest and the least mixed numbers is 9.87 - 6.0789 ≈ 3.7911.
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The Question in English
A Basic Education teacher tells his students to choose three digits
different from the set {1, 2, 3, 4, 5} and form mixed numbers by placing the digits
in the locker It also reminds them that the fractional part has to be
less than 1, for example
2
3
5
. What is the difference between the greatest and the least of the
mixed numbers that can be formed?
Please help!!!!!!!!!!!!!!!!!
Answer:
step 2 & the statement is number 2
Step-by-step explanation:
as he incorrectly factored -1 the correct answer -1(x+1)
State the hypothesis and the conclusion in each conditional statement.
26. If you are a basketball player, then you are at least 5’9” tall.
27. If three points lie on a line, then they are collinear.
28. If you are 13 years old, then you are a teenager.
29. 9x=36 implies x=4.
30. A =+~ B only if mA =+~mB ( I can’t type it so please look at the picture instead )
You don’t have to do all this if you don’t want to, you can help me by doing at least one.
Thank youuuuuu :) <3
Step-by-step explanation:
Hypothesis - Statement following the word 'Íf'
Conclusion - Statement after the word 'Then'
26. If you are a basketball player, then you are at least 5’9” tall.
Hypothesis - If you are a basketball player
Conclusion - then you are at least 5’9” tall.
27. If three points lie on a line, then they are collinear.
Hypothesis - If three points lie on a line
Conclusion - then they are collinear.
28. If you are 13 years old, then you are a teenager.
Hypothesis - If you are 13 years old
Conclusion - then you are a teenager.
29. 9x=36 implies x=4.
Hypothesis - 9x=36
Conclusion - x=4
30. A =+~ B only if mA =+~mB
Hypothesis - if mA =+~mB
Conclusion - A =+~ B
Can someone explain this and answer please :)
Answer:
day 8
Step-by-step explanation:
the rate of change is 2 (x2) which is making the amount saved double each day you can write a formula to represent this sequence:
f(n)=0.01x2^n-1
you put in the day number for n
f(n)=0.01x2^8-1
this gives you 1.28 which is the first day with an amount above 1.00
In circle A, secant EC and tangent BC intersect at point C.
mEB 163° and mBD = 77°.
What is m∠BCD?
Therefore, m angles for BCD is 98.5°.
Describe angle?
An angle is formed when two straight lines or rays meet at a single terminal. The vertex of an angle is the location where two points converge. The Latin word "angelus," which means "corner," is where the term "angle" originates.
These two theorems allow us to calculate the angle BCD's measure as follows:
To establish the angle ECB's measure first, apply Theorem 1:
m ∠ECB = m ∠DBC = 77°
Next, we can use theorem 2 to find the measure of the arc ED:
m(arc ED) = 1/2 (m∠EBD + m∠ECD) = 1/2 (163° + m∠ECB)
Since arc ED is an exterior arc to angle BCD, we can find the measure of angle BCD as:
m ∠BCD = 1/2 (m(arc BD) + m(arc ED)) = 1/2 (77° + m(arc ED))
Substituting the value we found for m(arc ED), we get:
m ∠BCD = 1/2 (77° + 1/2 (163° + m ∠ECB))
Now, we can substitute the value we found for m ∠ECB to get:
m ∠BCD = 1/2 (77° + 1/2 (163° + 77°)) = 1/2 (77° + 120°) = 98.5°
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Which set of ordered pairs does not represent a function?
Group of answer choices
{(6, 0), (-9, 5), (1, -5), (0, 0)}
{(4, 6), (6, 8), (3, 2), (-6, 8)}
{(-9, -7), (-8, -7), (8, 2), (9, -5)}
{(-8, 6), (-8, 5), (-9, 4), (-5, 3)}
Answer:
the last one
Step-by-step explanation:
No points on a function can have the same x value, can you give me brainliest
Answer please ASAP
It has to be correct
And if you aren’t sure don’t say anything plzzz answer thooo
t=1.25j
Step-by-step explanation:
and my thing needs 20 characters
This article says short sleepers (fewer than 6 hours) are four times more likely to catch a cold than longer sleepers (over 7 hours). The article says "The researchers then sequestered 164 volunteers in a hotel, administered the cold virus via nasal drops and monitored them for a week." Without further info, what is potentially misleading?
The use of volunteer sampling means that the result of the survey is potentially misleading.
What is volunteer sampling?Volunteer sampling is a sampling technique in which each participant in the sample opts to join the research, as is the case for this problem, as each participant opted to join in the project to compare their cold lengths.
The drawback of this type of sampling is that it should contain lots of participants that share similar characteristics, such as desiring to weight/diet, and this may influence their recovery to cold. The participants also may lie, which can cause misleading results to the study.
Options to remove misleading conclusions is to use a different type of sampling, such as stratified sampling, as groups of people that are either short or long sleepers are compared to reach a conclusion.
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when its comes to interest,most CDs will allow which of the following options?
a. Unlimited withdraws of interest
b. Periodic interest payout
c. loans against principal
d. Withdrawal of principal
When it comes to interest, most Certificates of Deposit (CDs) will allow periodic interest payouts. So, correct option is B.
A CD is a type of savings account that allows you to earn a fixed interest rate on your deposit for a specific period of time, called the term. Typically, the longer the term of the CD, the higher the interest rate offered.
However, during the term of the CD, the funds are locked in, meaning that you cannot withdraw the principal without incurring a penalty.
While some CDs may allow for unlimited withdrawals of interest, this is not common, and may still come with restrictions or penalties. Loans against principal are also not typically allowed with CDs, as the funds are meant to be held for a set term.
Therefore, the most common option available for CD holders is to receive periodic interest payouts, which can be monthly, quarterly, or annually, depending on the terms of the CD. This allows the CD holder to earn interest on their deposit while still receiving some income during the term of the CD.
So, correct option is B.
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tan(pi/2)=_
A. -1
B. 0
C. 1
D. Undefined
AP3X
Answer:
I don't know the answer
Step-by-step explanation:
c.1
A triangle has two sides of length 15 cm and 17 cm. Select all the values of its third side that would make it a right triangle. A triangle has two sides of length 15 cm and 17 cm. Select all the values of its third side that would make it a right triangle.
Based on the Pythagorean theorem, in a right triangle, the sum of the squares of the two shorter sides is equal to the square of the longest side. So, we can use this to find the possible values of the third side of the triangle.
The two given sides are 15 cm and 17 cm. We can label the unknown side as "x". Then, we can set up an equation:
15^2 + 17^2 = x^2
Simplifying this equation, we get:
225 + 289 = x^2
514 = x^2
x = sqrt(514)
Therefore, the possible value of the third side that would make it a right triangle is approximately 22.72 cm.
⚠️⚠️⚠️PLEASE ANSWER ASAP ILL GIVE BRAINLIEST ⚠️⚠️⚠️
Select all of the applicable transformations from the parent function y=x^2 to y=-(x+2)^2-3
reflection
vertical translation up 2
vertical translation down 3
vertical translation up 3
horizontal translation left 3
horizontal translation right 2
horizontal translation left 2
compression by a factor of 3
stretch by a factor of 2
Answer:
reflection
vertical translation down 3
horizontal translation right 2
Step-by-step explanation:
Given
\(y = x^2\) ---> Parent function
\(y = -(x+2)^2-3\)
Required
All possible transformations
First, the parent function is reflected across the x-axis:
This gives:
\(y = x^2\) \(==>\) \(y =-x^2\)
Next, it is translated horizontally right by 2
The rule is:
\((x,y)==>(x+2,y)\)
So:
\(y =-x^2\) \(==>\) \(y = -(x +2)^2\)
Lastly: it is translated vertically down by 3
The rule is:
\((x,y)==>(x,y-3)\)
So:
\(y = -(x +2)^2\) \(==>\) \(y = -(x +2)^2 - 3\)
Given m \| nm∥n, find the value of x.
m
n
t
(x+5)°
(x-13)°
Answer:
5
Step-by-step explanation:
564 is divided by 3 = 4
In the equation (x-3)²+(y-2)2=16, the radius of the circle is...
16
3
32
4
Step-by-step explanation:
This is of the form
(x-h)^2 + ( y-k)^2 = r^2 so r^2 = 16 means r = 4 units
what facts do we know about a midsegment
of a triangle?
Answer:
All of the aboveStep-by-step explanation:
A midsegment is the line segment connecting the midpoints of two sides of a triangle. Since a triangle has three sides, each triangle has three midsegments. A triangle midsegment is parallel to the third side of the triangle and is half of the length of the third side.
Use a calculator to find the trigonometric ratio. Round your answer to four decimal places
sin 98°~
Using a calculator, the trigonometric ratio of sin 98 is approximately 0.9848.
How to Find the Trigonometric Ratio?One of the trigonometric ratio we have in mathematics is the sine ratio. We can use calculator to find the sine of an angle without making use of tables. To do this on your calculator, enter the sine function followed by the degree of the angle you want to find its sine. You will get your answer.
Using a calculator, we can find the sine of 98 degrees as follows:
sin 98° ≈ 0.9848
Rounding this to four decimal places, we get:
sin 98° ≈ 0.9848
Therefore, sin 98° is approximately equal to 0.9848.
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The Consumer Price Index (CPI), which measures the cost of a typical package of consumer goods, was 202.9 in 2011 and 233.2 in 2016. Let x=11 correspond to the year 2011 and estimate the CPI in 2013 and 2014. Assume that the data can be modeled by a straight line and that the trend continues indefinitely. Use two data points to find such a line and then estimate the requested quantities. Let y represent the CPI. The linear equation that best models the CPI is____ (Simplify your answer. Use integers or decimals for any numbers in the equation. Round to the nearest hundredth as needed.)
The first thing we have to identify in our problem are the variables
\(\begin{gathered} x\to\text{time} \\ y\to\text{CPI} \end{gathered}\)Now we see the points (x,y) that gives us the problem
\(\begin{gathered} 2011\to(11,202.9) \\ 2016\to(16,233.2) \end{gathered}\)Since behavior can be modeled by a straight line, we use the general equation of the straight line
\(y=mx+b\)Where m is the slope of the line and b is the y-intercept.
Taking this into account and with the 2 points that they give us, we proceed to calculate the equation of the line starting with the slope:
\(\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{233.2-202.9}{16-11} \\ m=\frac{30.3}{5} \\ m=6.06 \end{gathered}\)\(\begin{gathered} y=6.06x+b \\ 202.9=6.06(11)+b \\ b=202.9-66.66 \\ b=136.24 \end{gathered}\)The equation that models the behavior of the CPI is
\(y=6.06x+136.24\)Now we calculate the CPI values for the years 2013 and 2014
\(\begin{gathered} 2013\to x=13 \\ y=6.06(13)+136.24 \\ y=78.78+136.24 \\ y=215.02 \end{gathered}\)\(\begin{gathered} 2014\to x=14 \\ y=6.06(14)+136.24 \\ y=84.84+136.24 \\ y=221.08 \end{gathered}\)The following system of linear equations has how many solutions?
3y = x + 6
6y - 2x = 12
The system of linear equations 3y = x + 6 and 6y - 2x = 12 has infinitely many solutions.
What is the number of solutions of the system of equation?Given the system of euqation in the question;
3y = x + 66y - 2x = 12We can solve this system of linear equations using the substitution method:
From the first equation, we can rewrite x in terms of y as:
x = 3y - 6
Substituting this expression for x in the second equation, we get:
6y - 2(3y - 6) = 12
Simplifying this equation, we get:
6y - 6y + 12 = 12
The equation simplifies to 12 = 12.
This means that the two equations are equivalent and represent the same line in the xy-plane.
The system has infinitely many solutions, and all points on the line satisfy both equations.
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angle 0 is in quadrant I with cos 0 is 10/17. which of the following would be the appropriate step in calculating the value of sin 0 using the pythagorean identity?
a. sin 0 + (10/17)^2 = 1
b. sin 0 - (10/17)^2 = 1
c. sin^2 0 + (10/17)^2 = 1
d. sin^2 0 - (10/17)^2 = 1
Work Shown:
\(\sin^2(\theta) + \cos^2(\theta) = 1\\\\\sin^2(\theta) + \left(\cos(\theta)\right)^2 = 1\\\\\sin^2(\theta) + \left(\frac{10}{17}\right)^2 = 1\)
As the name implies, the pythagorean identity uses the pythagorean theorem for right triangles. The 1 on the right hand side is the length of the hypotenuse, which is the radius of the unit circle.
24°
Solve for c.
= [?]°
C =
60% C
Enter
Answer:
96°
Step-by-step explanation:
You want the value of angle C in the diagram with two parallel lines and a triangle between them.
Angle sum theoremThe sum of angles in a triangle is 180°, so the missing angle in the triangle is ...
180° -60° -24° = 96°
Alternate interior anglesAngle C and the one we just found are alternate interior angles with respect to the parallel lines and the transversal that forms those angles. As such, they are congruent:
C = 96°
<95141404393>
Are the triangles below congruent? If so, write a congruence statement and say why.
Answer:
Yes they are congruent.
Step-by-step explanation:
CBA= ZYX.
We know they are congruent by the SAS Theorem, or the Side Angle Side. We have two sides we know are congruent, and we have one angle that we know is congruent. So we can use SAS.
-Hope this helped
- 4(x - 2) = 2 - 2x
What is x?
Answer:
x=3
Step-by-step explanation:
-4(x-2)=2-2x
-4x+8=2-2x
-4x+8=-2x+2
-4x=-2x+2-8
-4x=2x-6
-2x=-6
x=3
Let's solve your equation step-by-step.
-4(x-2)=2-2x
Step 1: Simplify both sides of the
equation.
-4(x-2)=2-2x
Simplify:
(-4)(x)+(-4)(-2) = 2+ -2x
(Distribute)
-4x+8=2+ -2x
-4x+8=-2x+2
Step 2: Add 2x to both sides.
-4x+8 + 2x = -2x+2+2x
-2x+8=2
Step 3: Subtract 8 from both sides.
-2x+8-82-8
-2x=-6
Step 4: Divide both sides by -2.
-2x -6 = -2 -2
x=3
Write a multiplication equation that corresponds to this division equation 1/2 ÷ 4
Answer:
Step-by-step explanation:
1/2 * 1/4 = 1/8
When you divide fractions you can multiply them if you use el reciproco ( not sure how to tell it in English sorry)
Hope this help
The equivalent multiplication equation is 1/2 x 1/4.
What is Fraction?The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.
The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.Given:
1/2 ÷ 4
As, the fraction does not support division.
So, to perform the division we change the division sign into multiplication sign and reciprocate the number on the right side of division sign.
Then, 1/2 ÷ 4
= 1/2 x 1/4
= 1/8
Hence, the equivalent multiplication equation is 1/2 x 1/4.
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Need help don’t want to fail help help help
Answer:
photosynthesis is a processes by which plants get their proteins
Step-by-step explanation:
ok
Answer:
C. is not true
Step-by-step explanation:
Hole at x = 1, numerator has factor x-1, while vertical asymptote x = -3 means there is factor of x-3 in denominator.
horizontal asymptote y=0: degree of numerator less than denominator.
No real zeros.
Question in the pic, please explain your answer
The statement translated to an algebra equation will give the value of the unknown number w = 11/5
What is algebra?Algebra is the branch of mathematics that helps to represent problems or values in the form of mathematical expressions using letters to represent unknown values.
Let us represent the unknown number with the letter w so that the statement can be written as the equation:
5w - 8 = 3
add 8 to both sides
5w - 8 + 8 = 3 + 8
5w = 11
divide through by 5
5w/5 = 11/5
w = 11/5
Therefore, the statement translated to an algebra equation will give the value of the unknown number w = 11/5
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A survey of investors finds that 60% use a full service brokerage firm to invest in stocks, 30% trade stocks online and 24% do both. The probability that an investor selected at random uses a full service brokerage firm or trades stocks online is:_______.
a. 90%
b. 66%
c. 34%
d. 54%
e. 60%
Answer:
\(P(Service\ Brokerage\ or\ Online) = 66\%\)
Step-by-step explanation:
Given
\(P(Service\ Brokerage) = 60\%\)
\(P(Online) = 30\%\)
\(P(Both) = 24\%\)
Required
Determine P(Service Brokerage or Online)
In probability:
\(P(A\ or\ B) = P(A) + P(B) - P(Both)\)
In this case:
\(P(Service\ Brokerage\ or\ Online) = P(Service\ Brokerage) + P(Online) - P(Both)\)
Substitute values:
\(P(Service\ Brokerage\ or\ Online) = 60\% + 30\% - 24\%\)
\(P(Service\ Brokerage\ or\ Online) = 66\%\)
Hence, the required probability is 66%