To find the measure of the angle MKN in the square MNKL, we shall take a reminder of some of the properties of a square.
Some of these are;
(1) All four sides are equal
(2) All four angles are equal
(3) All four angles measure 90 degrees each
The two diagonals bisect each other at 90 degree angles, that is, the diagonals are perpendicular.
Let us now isolate the triangle MKN;
Note that the diagonal MK which is now one side of the triangle MKN, bisects the angle K into two (that is 90 degrees divided by 2).
The same applies to the angle at point M.
Therefore;
ANSWER:
\(\angle MKN=45\degree\)The third option is the correct answer
Which description best explains the domain of (g circle f) (x)?
the elements in the domain of f(x) for which g(f(x)) is defined
the elements in the domain of f(x) for which g(f(x)) is not zero
the elements in the domain of g(x) for which g(f(x)) is defined
the elements in the domain of g(x) for which g(f(x)) is not zero
The correct description is "the elements in the domain of f(x) for which g(f(x)) is defined."
What is a function?A relation is a function if it has only One y-value for each x-value.
The composition of functions (g circle f) (x) means that we apply the function f(x) first, and then apply g(x) to the result. Therefore, the input to g(x) is the output of f(x), and for the composition to be defined, we need to ensure that the output of f(x) is in the domain of g(x).
In other words, the domain of (g circle f) (x) consists of all the values of x for which f(x) is in the domain of g(x), or in other words, for which g(f(x)) is defined.
Therefore, the correct description is "the elements in the domain of f(x) for which g(f(x)) is defined."
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5. Marcus purchased 8.5 pounds of sweet potatoes. If each pound of sweet potatoes sells for $1.20, how much does Marcus owe for sweet potatoes?
Answer:
$10.20
Step-by-step explanation:
HELP PLEASE
i think i’m correct but i don’t know the answer for the last one at the bottom!!!
Answer:
7.07
Step-by-step explanation:
PLEASE HELP.
3. What is the probability that a randomly selected student from your group is a 9th grader?
4. what is the probability that a randomly selected student from your group prefers comedy.
5. what is the probability that a randomly selected student does not prefer action.
6. what is the probability that a student prefers comedy being in 10th grade.
7. what is the probability that a student prefers comedy being in 12th grade
8. what is the probability that a student does not prefer action being in 9th
----if you can answer please do or you could explain to me how to do them, I would like that thanks for your help will give brainliest.-----
Answer:
3: 1/4 4:1/2 5: 27/32 6: 1/5 7: 1/6 8: 5/6
Step-by-step explanation:
on may 18, an invoice dated may 17 for $4000 less 20%
The value of the invoice on May 18 is $3200.
Amount of invoice on May 17 = $4000
Percentage decrease = 20%
Decrease in amount = 20% × $4000 = 0.2 × $4000 = $800
Therefore, the value of the invoice on May 18 will be:
= Amount of invoice on May 17 - Reduction in the amount
= $4000 - $800
= $3200
Therefore, the value of the invoice on May 18 is $3200
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What is the value of for −6a−3 b2 for a = −2 and b = 4?
Step-by-step explanation:
given,
a = -2
b = 4
given expression,
-6a - 3b²
now,
-6(-2) - 3(4)²
12 - 3(16)
12 - 48
-36 ans.
HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE.
Jane buys p packets of plain crisps and c packets
of cheese and onion crisps. Write down an
expression for the total number of packets of
crisps Jane buys.
The expression for the total number of packets of crisps that Jane buys is given as follows:
p + c.
How to obtain the total number of packets?The amounts of packets of crisps purchased are given as follows:
p packets of plain crisps.c packets of cheese and onion crisps.The expression for the total number of packets of crisps that Jane buys is given by the addition of these two amounts.
Hence the expression for the total number of packets of crisps that Jane buys is given as follows:
p + c.
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2548 rounded to thousand
Answer:
3000
Step-by-step explanation:
CALC
PLEASE HELP!!
A chemical substance has a decay rate of 8.8% per day. The rate of change of an
dN
amount N of the chemical after t days is given by = -0.088N
dt
(i) Let No represent the amount of the substance present at to. Find the exponential function
that models the decay.
(ii) Suppose that 400g of the substance is present at to. How much will remain after 3 days?
(iii) What is the rate of change of the amount of the substance after 3 days?
(iv) After how many days will half of the original 400 g of the substance remain?
A function is a relationship between a few different inputs and an output, where each input can only lead to one possible outcome.
What is the chemical substance has a decay rate?(i) The exponential function that models the decay of the substance is given by:
\(N(t) = Noe^(-0.088t)\)
(ii) If \(400g\) of the substance is present at to, then \(No = 400g\) . Therefore, the amount of the substance remaining after 3 days is:
\(N(3) = 400e^(-0.0883) = 309.21g\) (rounded to two decimal places)
(iii) The rate of change of the amount of the substance after 3 days is given by:
\(dN/dt = -0.088N(3) = -0.088309.21 = -27.21 g/day\) (rounded to two decimal places)
(iv) To find the number of days it takes for half of the original \(400g\) of the substance to remain, we need to solve the equation:
\(N(t) = 0.5No\)
\(0.5No = Noe^(-0.088t)\)
\(0.5 = e^(-0.088t)\)
\(ln(0.5) = -0.088t\)
\(t = ln(0.5)/(-0.088) = 7.89 days\) (rounded to two decimal places)
Therefore, after \(7.89\) days, half of the original \(400g\) of the substance will remain.
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Pls pls Pls pls Pls Pls help me pls pls pls pls pls pls ASAP pls pls pls Pls pls Pls pls Pls Pls help me pls pls pls pls pls pls ASAP pls pls pls Pls I WILLL BRAINLIEST!!!!
Answer:
y = -3x - 8
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
m - slope
b - y-intercept
Step 1: Define
slope m = -3
y-intercept = -8
Step 2: Plug into equation
y = -3x - 8
which quadertiral makes this statement true
Answer:
option D is the right answer
Step-by-step explanation:
hope it helps you
Benicio locks his safe by setting
each of the three dials to 8. To unlock the safe, he turns
the left dial 90° counterclockwise, the middle dial
270° clockwise, and the right dial 180° counterclockwise.
Which three numbers, in order, unlock the safe?
The three numbers, in order that will unlock the safe are 2, 2, 4.
We know that there are 8 numbers on each dial. Suppose, The dial is in a shape of a circle. Now, we can divide it into 8 equal pieces with same angles.
For each piece, the angle formed is 360/8 = 45° ( As in a circle, total angle formed without any divisions is 360° )
Now, When we turn the left dial 90° counterclockwise ( anticlockwise)
that is 45° + 45° ( two times 45°). Therefore, the dial moves by two places and we get the first number = 6 ( from 8 to 7 and then from 7 to 6).
Now, We turn the middle dial 270° clockwise. And get 45° + 45° + 45° + 45° + 45° + 45° (six times 45°). Therefore, the dial moves by six places. Hence, we get the second number = 2.
Now, We turn the right dial 180° counterclockwise that is anticlockwise or in backward direction. 180° = 45° + 45° + 45° + 45° ( four times 45°). Therefore, the dial moves by six places and thus we get our third number = 4.
Therefore, The three numbers, in order that will unlock Benicio's safe are 2, 2, 4.
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A printer is printing photos. For every 12 photos, the printer takes 3 minutes. Complete the table below showing the number of photos and the time it takes to print them.
_ 12 28 _ 40
1 3 _ 8 9
Answer:
Number of photos 4 12 24 32 36
Time/min 1 3 6 8 9
Step-by-step explanation:
The printer prints 12 photos which would be 12 photos for 3 mins which would be equal to 4 photos per every min so then it would be the above answer.Hope it helps!
\(\rm\red{\overbrace{\underbrace{\tt\color{orange}{\:\:\:\:\:\:\:\:Answer:\:\:\:\:\:\:\:\:\:}}}}\)
The number of photo's: 4 12 24 32 36
The time or minutes: 1 3 6 8 9
\(\tiny \pink {ChaEunWoo2009}\)
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Describe how the graph of g(x)= 3(5^X) is related to the graph of f(x) = 5^X
Answers are:
A. g(x) is shifted 3 units to the left
B. g(x) is horizontally stretched
C. g(x) is shifted 3 units to the right
D. g(x) is vertically stretched
Please explain why you choose the answer pleae
What is the circumference of the circle if the radius is 10 cm?
The circumference of the circle is 62.8cm.
The Circumference of the circle is given by the formula,
Circumference = 2*\(\pi\)*r cm.........equation 1
Given, r = 10cm
On substituting the radius value in equation 1
Circumference = 2*\(\pi\)*10
Circumference = 62.8 cm
Therefore, the circumference of the circle is 62.8cm.
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the dice was thrown 35 times and following numbers were obtained prepare frequency table51423266142545361526254132141626333
This table shows the frequency of each number obtained after throwing the die 35 times
How to prepare frequency tableTo prepare a frequency table based on the numbers obtained from throwing a die 35 times, we can list the numbers from 1 to 6 and count the frequency of each number.
Numbers: 1, 2, 3, 4, 5, 6
Frequency: 5, 14, 6, 4, 5, 1
Based on the given numbers, the frequency table would look like this:
Number | Frequency
1 5
2 14
3 6
4 4
5 5
6 1
This table shows the frequency of each number obtained after throwing the die 35 times.
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2. The first and last term of an AP are 1 and 121 respectively. If the sum of the
series is 671, find a) the number of terms in) in the AP b) the common
difference between them.
Step-by-step explanation:
since you provided 1st and the last terms
the equation can be nth term
n/2 × ( a + l) = nth sum
n/2 × ( 1 + 121) = 671
n/2 × 122 = 671
61 n = 671
n = 11
a) so there are 11 terms
then,
so as 11th term is 121
let's find common diff
a + ( n-1) d = nth term
1 +( 11-1) d= 121
10d = 121 -1
10d = 120
common difference = 12
The quotient of b and 3 is less than or equal to -26
Answer:
b/3<= -26
Step-by-step explanation:
b=-8 (-8*3= -24) causing your statement to be true. if you do -9 you will be at -27 ... -8 is the best choice
PLEASE HELP I'M DESPERATE
Answer the question below.
Solve the equation -22 = q + 7(2q - 1)
and verify the solution. Show all work.
The solution of the equation -22 = q + 7(2q - 1) is as follows:
q = -1How to solve equation?Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign.
Let's solve the equations as follows:
-22 = q + 7(2q - 1)
The variable in the equation is q. A variable is an letter use to represent number in an equation.
-22 = q + 7(2q - 1)
-22 = q + 14q - 7
-22 = 15q - 7
add 7 to both sides of the equation
-22 + 7 = 15q - 7 + 7
-15 = 15q
divide both sides by 15
q = -15 / 15
q = -1
Therefore,
q = -1
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Answer:
-22 = q + 7(2q - 1)
-22 = q + 14q - 7
-22 = 15q - 7
add 7 to both sides of the equation
-22 + 7 = 15q - 7 + 7
-15 = 15q
divide both sides by 15
q = -15 / 15
q = -1
Step-by-step explanation:
Examine the equation. 4(x – 3) = 4x – 12 Which of the following is true? (Check all that apply.) It is a true statement. Any input will result in an equivalent equation. It is equivalent to an equation of the form a = a. It has no solution. Only one input will result in a true statement.
Answer:
A, B, and C.
Step-by-step explanation:
We have the equation:
\(4(x-3)=4x-12\)
Let’s distribute the left. This yields:
\(4x-12=4x-12\)
Let’s add 12 to both sides:
\(4x=4x\)
And subtract 4x from both sides:
\(0=0\)
We get the true statement 0=0.
Hence, A is correct.
Because it is a true statement, any input will yield an equivalent output.
Hence, B is also correct.
We also have the form a=a, where a is 0.
Hence, C is also correct.
Therefore, our correct answers are A, B, and C.
Answer:
It is a true statement.
Any input will result in an equivalent equation.
It is equivalent to an equation of the form a = a.
Construct the indicated confidence interval for the difference between the two population means. Assume that the two samples are independent simple random samples selected from normally distributed populations. Assume that the population standard deviations are equal.
Answer:
See the attachment for formatted formulas
Step-by-step explanation:
Let X11, X12, ……,X1n and X21 , X22……., X2n be two small independent random samples from two normal populations with means u1 and u2 and the standard deviations σ1 and σ2 respectively. If σ1= σ2 (=σ) but unknown then the unbiased pooled or combined estimate of the common variance σ2 (the term variance means that each population has the same variance) is given by
Sp2 = ((n_1-1) s_(1^2 )+ (n_2-1) s_2^2)/(n_1+n_2-2)
Where
S12 = 1/(n_1- 1) ∑▒〖 (X_1i- X`_1)〗^2 and
S22 = 1/(n_2- 1) ∑▒〖 (X_2j- X`_2)〗^2
The test statistic
t = ((X_1`-X_2`)- (μ_1- μ_2))/(√(s_p&1/n_1 )+ 1/n_2 )
Has t distribution with v= n1 + n2 – 2 degrees of freedom.
It is used as a test statistic for testing hypotheses about the difference between two population means.
The procedure for testing hypothesis H0: μ_1- μ_2= ∆_0 in case of small independent samples when σ_1= σ_2 is as follows.
Formulate the null and alternative hypotheses given σ_1= σ_2= σ unknown.H0: μ_1- μ_2= ∆_0 against the appropriate alternative.
Decide the significance level α. The test statistic under H0 ist = ((X_1`-X_2`)- ∆_0 )/(√(s_p&1/n_1 )+ 1/n_2 )
Which has t distribution with v= n1 + n2 – 2 degrees of freedom.
Identify the critical region Compute the t- value from the given data Reject H0 if t falls in the critical region, accept H0 otherwise.8. Write a paragraph proof.
Proof Given: In a plane, a is perpendicular to b, b id perpendicular to c, and c || d.
Prove: a || d
To prove that line segment a is parallel to line segment d, based on the given information, we can utilize the properties of perpendicular and parallel lines.
Given that a is perpendicular to b and b is perpendicular to c, we know that angles formed between a and b, as well as between b and c, are right angles. Let's denote these angles as ∠1 and ∠2, respectively.
Now, since c is parallel to d, we can conclude that the corresponding angles ∠2 and ∠3, formed between c and d, are congruent.Considering the fact that ∠2 is a right angle, it can be inferred that ∠3 is also a right angle.
By transitivity, if ∠1 is a right angle and ∠3 is a right angle, then ∠1 and ∠3 are congruent.Since corresponding angles are congruent, and ∠1 and ∠3 are congruent, we can deduce that line segment a is parallel to line segment d.
Thus, we have successfully proven that a is parallel to d based on the given information and the properties of perpendicular and parallel lines.
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Use the distributive property to simplify 5(2x+3).
7x + 3
7x + 8
10x + 15
10x + 25
Answer:
the distributive property to simplify 5(2x+3)=10x+15
select the name of the polygon. then select whether it is a regular polygon or not a regular polygon.
Raoul has 72 wristbands and 96 movie passes to put in gift bags. The greatest common factor for the number of wristbands and the number of movie passes is qual to the number of gift bags. Raoul needs to make. Then find how many wristbands and how many movie passes raoul can put in each gift bag if he evenly distributes the items.
Please help I am stuck I am doing work nonstop on all weekends if I don’t get this right and done please help and will give brainlesst for the correct answer
Answer:
Step-by-step explanation:
I do know give me brainliest first
Answer:
24 gift bags
Step-by-step explanation:
Well first the question says to find the GCF and you find that by finding prime factors in each number. Then you would want to subtract 96-72 and get the answer of 24 so you would be able to make 24 gift bags. Hope this helps!!
May I have heart, 5 star, and brainliest please?
A recipe for 20 rolls requires 5 tablespoons of butter. How many tablespoons of butter I needed for 30 rolls
(explain in full)
Answer:The answer is 7.5 tablespoon
Step-by-step explanation:
The solution is in the image
Answer:
7.5
Step-by-step explanation:
20 rolls : 5 tbsps
this means that 1 roll : 0.25 (5 / 20)
to figure out how much butter for 30 rolls, we must multiply 0.25 by 30 = 7.5
So, we need 7.5 tablespoons of butter for 30 rolls.
Hope this makes sense. If you require further explanation, don't hesitate to ask.
- profparis
For the inequality y−x>−x2−1, where is the graph shaded and is the curve solid or dotted?
The curve will be dotted and upper portion of the graph will be shaded.
Inequality expressionInequality are expressions not separated by an equal sign Given the following inequality
y−x>−x2−1
Equate to zero
y > x^2 + x -1
Since the inequality sign in the given expression is a less than sign, hence the curve will be dotted.
Also, since the inequality sign is a "greater than", hence upper portion of the graph will be shaded.
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how many terms of arithmetic sequence 3;11;19.... will add up to 1580
Answer:1.58
Step-by-step explanation:
The number of terms in the sequence will be 20 adds up to 1580.
What is an arithmetic sequence?An arithmetic sequence is defined as an arrangement of numbers that is in a particular order.
The arithmetic sequence is given in the question, as follows:
3; 11; 19....
We have to determine the number of terms of the sequence will add up to 1580
The sum of an arithmetic sequence is the sum of the first n terms of the sequence as
Sₙ = n/2(2a+(n−1)d)
In arithmetic, here a₁ is the first term and sequence d represents the common difference.
As per the question,
d = 11 - 3 = 8, a = 2 and S = 1580
Substitute the known values in the formula, and solve for n
1580 = n/2(2x3+(n-1)8)
1580 x 2 = n(6 + 8n - 8)
Solving the above equation, we get
n = 20, and -79/4
Thus, the number of terms in the sequence will 20.
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I am making mashed potatoes with 1.25 pounds of mashed potatoes, .14 pounds of olive oil, and .33 pounds of almond milk. How much will the final dish weigh?
Answer:
1.72 pounds
Step-by-step explanation:
1.25 + 0.14 + 0.33 =1.72 pounds
The graph of f(x) = |x| is reflected across the y-axis and translated to the left 5 units. Which statement about the domain and range of each function is correct? Both the domain and range of the transformed function are the same as those of the parent function. Neither the domain nor the range of the transformed function are the same as those of the parent function. The range of the transformed function is the same as the parent function, but the domains of the functions are different. The domain of the transformed function is the same as the parent function, but the ranges of the functions are differe
Both the domain and range of the transformed function are the same as those of the parent function.
What are Range and Domain?
The collection of all potential output values that a function can generate given its domain is known as its range.
The set of all potential input values for which a function is specified is referred to as its domain.
The function that results from translating the left 5 units and reflecting the function f(x) = |x| across the y-axis is g(x) = |-x + 5|.
Since any real number's absolute value is always non-negative, the original function's domain is all real numbers, or f(x) = |x|.
A function's domain remains unaffected when it is reflected across the y-axis. Since all real numbers fall within the domain of the modified function g(x) = |-x + 5|, this is also true.
Since each real number's absolute value is always non-negative, the original function's range is also all non-negative real numbers, f(x) = |x|.
A function's sign is reversed when it is reflected across the y-axis. Since all non-negative real numbers fall within this range, the transformed function g(x) = |-x + 5| also has this range as well
So, the correct statement about the domain and range of each function is: Both the domain and range of the transformed function are the same as those of the parent function.
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