Answer:
16
Step-by-step explanation:
f(2) = -4, and g(-4) = 16
CAN SOMEONE PLS HELP ME ILL GIVE YOU BRAINLIST IF YOU GET IT RIGHT
3rd option: A middle school student it more likely to own a phone than an elementary school student
help me help me please guys send me in 5 minutes I really need it
Answer:
a) If the question is 18 and 13, then 1. If 18 and 3, then 3.
b) 10
c) 5
d) 15
e) 11
f) 20
Have a nice day :)
Question 2
5 pts
You deposit $5000 in an account earning 7% interest compounded
monthly. How much will you have in the account in 10 years?
5 nts
\(s = 5000(1.07) {}^{t} \)
\(s = 5000(1.07) {}^{10} \)
\(s = 5000(1.96715)\)
\(s = 9835.756 \: dollars\)
HELP A B OUT HELP A B OUT HELP A B OUT HELP A B OUT
In the diagram, the measures of 23 and 27 are 45°. The measure of 25 is
135°. Are lines cand dparallel?
F
5
8
OA. Yes, because 23 and 27 are congruent.
OB. No, because 27 and 25 are not congruent.
C. Yes, because 25 and 27 are supplementary.
D. No, because 23 and 25 are not supplementary.
The correct answer is D. No because 23 and 25 are not supplementary.
In the given diagram, it is stated that the measures of angles 23 and 27 are 45°, and the measure of angle 25 is 135°. To determine if lines C and D are parallel, we need to analyze the angles formed by these lines.
If the alternate interior angles or corresponding angles are congruent, then the lines are parallel. However, in this case, we don't have enough information about the angles formed by lines C and D to make that determination.
The fact that angle 23 and angle 27 are congruent (both measuring 45°) doesn't provide any information about the relationship between lines C and D. Similarly, the measure of angle 25 being 135° doesn't give us any insight into the parallelism of lines C and D. Therefore, we cannot conclude that lines C and D are parallel based on the given information, and the correct answer is D.
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What is the solution to the system of equations
The solution of the given system of equations is (-1, -2).
Explain the method of substitution?Three steps make up the substitution technique: For each of the variables, solve one equation. Put this expression (or plug it in) into the other equation, then solve it. To identify the corresponding variable, rewrite the value's original equation.We are aware that a linear system of equations can be solved using a substitution method.
The intersection of the two lines represents the system's solution.
The given equations are-
y = 3x+1 ...eq 1
y = -2x-4 ...eq 2
Put the value of eq 1 in eq2 .
3x+1 = -2x-4
3x + 2x = -4 - 1
5x = -5
x = -5/5
x = -1
Put the x in eq 1.
y = 3(-1)+1
y = -2
Thus, the solution of the given system of equations is (-1, -2).
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The complete question is-
What is the solution to the system of equations-
y=3x+1 ;
y=-2x-4
What is the probability of drawing to green cards if the first card is replaced before the second draw assume the first card drawn is a green
If we assume that the first card drawn is green and it is replaced before the second draw, then the probability of drawing two green cards in a row is 12/51, or approximately 0.235.
If we assume that the first card drawn is green and it is replaced before the second draw, then we can say that each draw is independent of the other, and the probability of drawing a green card on each draw is the same.
Let's assume that the deck of cards contains 52 cards, with 13 green cards. Since we know that the first card drawn is green, there are now 51 cards left in the deck, with 12 green cards.
The probability of drawing a green card on the second draw is 12/51, since there are 12 green cards left in the deck out of a total of 51 cards.
To find the probability of drawing two green cards in a row, we need to multiply the probability of drawing a green card on the first draw (which we assumed to be 1 since we know the first card is green) by the probability of drawing a green card on the second draw:
P(drawing two green cards) = 1 x 12/51
Simplifying this expression, we get:
P(drawing two green cards) = 12/51
Therefore, the probability of drawing two green cards is approximately 0.235.
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A cart has 5 boxes on it. Each box weighs 70 pounds. The boxes will be removed from
the cart, one at a time. Which function models the relationship between x, the number of
boxes that have been removed from the cart, and y, the total weight, in pounds, of the
boxes remaining on the cart?
y=-70x+5
B) y = -5x + 350
y = 50x + 70
= 52 +350
D) y =
Y =
claim: if x is even then 9x 5 is odd. prove the claim for all x < 0, using the smallest counterexample method.
The claim that if x is even then 9x - 5 is odd is false for all x < 0, as demonstrated by an example where x = -2 and 9x - 5 = -17, which is an even number.
The smallest counterexample method is used to prove that a claim is false by providing an example that does not follow the claim. To prove the claim that if x is even then 9x 5 is odd, for all x < 0, we can use the smallest counterexample method by finding the smallest value of x that would disprove the claim.
Let x = -2, then 9(-2) - 5 = -17. Since -17 is even, it does not follow the claim that if x is even then 9x - 5 is odd, thus disproving the claim for all x < 0.
To explain this with formula and calculation, let x = -2, then 9x - 5 = 9(-2) - 5 = -17. Since -17 is even, the claim that if x is even then 9x - 5 is odd is false. Therefore, the claim is false for all x < 0.
The claim that if x is even then 9x - 5 is odd is false for all x < 0, as demonstrated by an example where x = -2 and 9x - 5 = -17, which is an even number.
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Question is present in the image
The equivalent equation to the given one is:
h = A*t/(b - c)
Which of the equations is equivalent to the given one?We want to find an equation equivalent to the one below:
A = h*(b - c)/t
If we solve the equation for t, we would get:
t = h*(b - c)/A
If we solve the equation for h, we will get:
h = A*t/(b - c)
If we solve the equation for b, we will get:
A = h*(b - c)/t
A*t/h = b - c
A*t/h + c = b
And if we solve it for c, we will get:
c = b - A*t/h
Then the correct option is the last one;
h = A*t/(b - c)
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5 times 100 times 105
Answer:
52500
Step-by-step explanation:
first do 5*105 to get 525 then mutiply by 100 to get 52500
2/5 divided by 8/15 in its simplest form
Step-by-step explanation:
2/5 ÷ 8/15
2/5 × 15/8
=3/4
Hope it helps ya
The solution of 2/5 divided by 8/15 in its simplest form is,
⇒ 3/4
We have to given that,
Find 2/5 divided by 8/15 in its simplest form.
To divide fractions, multiply the first fraction by the reciprocal of the second fraction
Let a, b, c and d be real numbers. Divide a fraction (a/b) by another fraction (c/d), we can multiply the first fraction by the reciprocal of the second fraction.
The reciprocal of a fraction is obtained by swapping the numerator and denominator. So, the reciprocal of (c/d) is (d/c).
To divide (a/b) by (c/d), multiply the first fraction by the reciprocal of the second fraction:
(a/b) ÷ (c/d) = (a/b) x (d/c)
Multiplying the numerators and denominators:
(ad) / (bc)
Therefore, the result of (a/b) divided by (c/d) is (ad) / (bc).
Here, 2/5 divided by 8/15
⇒ 2/5 ÷ 8/15
⇒ 2/5 × 15/8
⇒ 30/40
⇒ 3 /4
Therefore, The solution of 2/5 divided by 8/15 in its simplest form is,
⇒ 3/4
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Help please!! So confused, determine the perimeter of the right triangle shown. Round your final answer to the nearest whole number if necessary.
The perimeter of the right triangle is 26 units.
From the given graph, the measure of side AB= 8 units and the measure of side BC= 7 units.
What is the perimeter?The perimeter of a shape is defined as the total distance around the shape. It is the length of the outline or boundary of any two-dimensional geometric shape. The perimeter of different figures can be equal in measure depending upon the dimensions.
By Pythagoras theorem,
AC²=AB²+BC²
⇒ AC²=8²+7²
⇒ AC²=113
⇒ AC=10.63
≈ 11 units
Perimeter =AB+BC+AC
= 8+7+11
= 26 units
Therefore, the perimeter of the right triangle is 26 units.
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given CDE and FGH are complementary and CDE and JKL are complementary, what can you conclude about angles FGH and JKL?
Use the standard normal table to determine the percentage of drinks that can be estimated to take more than 3 minutes to make. Type the correct answer in the box. Use numerals instead of words. Express the answer to the nearest percent. About % of drinks will take more than 3 minutes to make.
Answer:
70%
Step-by-step explanation:
you do it
What is an equivalent expression to 4x - 9 + 23x
Hi there!
»»————- ★ ————-««
I believe your answer is:
\(27x-9\)
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
\(\boxed{\text{Simplifying the Expression:}}\\\\4x - 9 + 23x\\----------\\\rightarrow 4x + 23x - 9\\\\\rightarrow \boxed{27x-9}\)
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Answer:
27 x - 9
Step-by-step explanation:
Simplify the expression
4 x - 9 + 23 x
combine like terms
4 x + 23 x - 9
27 x - 9
PLEASE HELP
State the coefficient of the variable and the exponent on the variable for this expression: x/5 (this is supposed to be vertical but I don't know how to do that)
For the given relation, the coefficient is (1/5) and the exponent is 1.
Which are the coefficient and the exponent of the variable?For a relation of the form:
\(y = a*x^n\)
a is the coefficient and n is the exponent.
In this case, we have:
\(y = \frac{x}{5}\)
This can be rewritten to:
\(y = \frac{1}{5}*x^1\)
So we can see that the coefficient is (1/5), and the exponent is 1.
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absolute value evaluate problem
|-4| =?
SHOW WORK:
The expression |-4| has a value of 4 when evaluated
How to evaluate the absolute expressionFrom the question, we have the following parameters that can be used in our computation:
|-4|
The above expression is an absolute expression
So, the solution is the positive value of the expression in bracket
Evaluate the expressions in the brackets
So, we have the following representation
|-4| = 4
Hence, the expression has a value of 4
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On a scale drawing of a boat, 15 feet are represented by 10 inches. If the drawing was 8 inches long, how long was the boat?
Answer:
12 feet
Step-by-step explanation:
On a scale drawing of a boat, 15 feet are represented by 10 inches.
This means \(15\,\,feet=10\,\,inches\)
\(1\,\,inch=\frac{15}{10}\,\,feet=\frac{3}{2}\,\,feet\)
Now, find the length of the boat if the drawing was 8 inches long.
Length of the boat = \(8(\frac{3}{2})=12\,\,feets\)
So, length of the boat is 12 feets if the drawing was 8 inches long.
If it took 28 minutes to run 4 miles, then at that rate, how long would it take to run 20 miles?
Answer:
140 minutes
Step-by-step explanation:
After 28 mins you've gone 4 miles, assuming this rate is constant and you dont slow down or speed up, in order to get to 20 miles you will have run 5x as much (20/4 = 5), thus 5x the amount of time (28x5).
20/4 = 5
5x28 = 140
Answer:
140 minutes
Step-by-step explanation:
28 :4 =7 minutes to run 1 mile
20 ×7 =140 minutes
The following is a table of probabilties calculated from a survey of Bc students with the question asked "How many classes are you taking this semester?"
x: # of classes 1 2 3 4 5
P(x) 0.14 0.29 0.12 0.31 0.14
Using the table, find the following probabilities for a student selected at random:
a.) What is the probability that a student is taking 2 or more classes?
Incorrect
b.) What is the probability that a student is taking at least 3 classes?
c.) What is the probability that a student is taking more than 3 classes?
d.) What is the probability that a student is taking less than 2 classes?
e.) What is the probability that a student is taking no more than 2 classes?
f.) What is the average (mean) amount of classes a student takes at bC?
g.) What is the standard deviation for the amount of classes a student takes at BC? (round to two decimal places)
Considering the discrete distribution, it is found that the desired measures are given as follows:
a) 0.86.
b) 0.57.
c) 0.45.
d) 0.14.
e) 0.43.
f) 3.02.
g) 1.31.
What is the probability distribution?
According to the table, it is given by:
P(X = 1) = 0.14.
P(X = 2) = 0.29.
P(X = 3) = 0.12.
P(X = 4) = 0.31.
P(X = 5) = 0.14.
Item a:
\(P(X \geq 2) = 1 - P(X < 2) = 1 - P(X = 1) = 1 - 0.14 = 0.86\)
Item b:
\(P(X \geq 3) = 1 - P(X < 3) = 1 - P(X = 1) - P(X = 2) = 1 - 0.14 - 0.29 = 0.57\)
Item c:
P(X > 3) = P(X = 4) + P(X = 5) = 0.31 + 0.14 = 0.45.
Item d:
P(X < 2) = P(X = 1) = 0.14.
Item e:
\(P(X \leq 2) = P(X = 1) + P(X = 2) = 0.14 + 0.29 = 0.43\).
Item f:
The mean is given by the sum of each outcome multiplied by it's respective probability, hence:
E(X) = 0.14(1) + 0.29(2) + 0.12(3) + 0.31(4) + 0.14(5) = 3.02.
Item g:
The standard deviation is given by the square root of the sum of the difference squared of each observation and the mean, multiplied by it's respective probabilities, hence:
\(\sqrt{V(X)} = \sqrt{0.14(1-3.02)^2 + 0.29(2-3.02)^2 + 0.12(3-3.02)^2 + ... + 0.14(5-3.02)^2} = 1.31\)
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Find the indicated probability. Round to three decimal places.A machine has 6 identical components which function independently. The probability that a component will fail is 0.3. Themachine will stop working if more than two components fail. Find the probability that the machine will be working.
Answer: 74.43%
Let us first list down the probabilities of the machine working.
First is the probability that none of the components will fail. We can write this probability as:
\(P(0)=(1-0.3)^6\)Next, the probability that one of the components will fail. This will give us:
\(P(1)=C^1_6(1-0.3)^5(0.3)\)Then, the probability that 2 of the components will fail.
\(P(2)=C^2_6(1-0.3)^4(0.3)^2\)Adding all of these probabilities and we will have:
\(P=(1-0.3)^6+C^1_6(1-0.3)^5(0.3)+C^2_6(1-0.3)^4(0.3)^2\)\(P=(0.7)^6+(6)(0.7)^5(0.3)+(15)(0.7)^4(0.3)^2\)\(P=0.74431\times100=74.43\%\)Therefore, the probability that the machine will be working would be 74.43%.
What is the result of adding two or more numbers?
Answer: A sum
Step-by-step explanation: The result of adding two or more numbers together is a sum.
When two (or more) numbers are added together, the result is called a sum.
The figure shows four box-and-whisker plots. These represent variation in travel time for four different types of transportation from the beginning to the end of one route.
Conrad is at one end of the route. He is trying to decide how to get to an appointment at the other end. His appointment is in 30 minutes. Which type of transportation is LEAST likely to take more than 30 minutes?
Select one:
a.
bus
b.
car
c.
subway
d.
train
Comparing the median of each box-and-whisker plot, the type of transportation that is LEAST likely to take more than 30 minutes is: d. train.
How to Interpret a Box-and-whisker Plot?
In order to determine the transportation that is LEAST likely to take more than 30 minutes, we have to compare the median of each data set represented on the box-and-whisker plot for each transportation.
The box-and-whisker plot that has the lowest median would definitely represent the the transportation that is LEAST likely to take more than 30 minutes, since median represents the typical minutes or center of the data.
Therefore, from the box-and-whisker plots given, the one for train has the lowest median. Therefore train would LEAST likely take more than 30 minutes.
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Please help solve this !!!
Step-by-step explanation:
3.
remember the law of sine :
a/sin(A) = b/sin(B) = c/sin(C)
a, b, c are the sides. A, B, C are the corresponding opposite angles.
and again, the sum of all angles in a triangle is always 180°.
so, the angle opposite of W = 180 - 90 - 60 = 30°.
and we get
6×sqrt(3)/sin(60) = W/sin(30) = W / 1/2 = 2W
W = 6/2 × sqrt(3)/sin(60) = 3×sqrt(3)/sin(60) =
= 3×sqrt(3) / sqrt(3)/2 = 6
X we get via Pythagoras
X² = (6×sqrt(3))² + W² = 36×3 + 6² = 108+36 = 144
X = sqrt(144) = 12
in the lower triangle the angle opposite of X = 180 - 90 - 45 = 45°
so, it is an isoceles triangle (both legs are equal).
therefore,
Y = X = 12
Z² = 12² + 12² = 144 + 144 = 288
Z = sqrt(288) = sqrt(16×18) = sqrt(16×9×2) =
= 4×3×sqrt(2) = 12×sqrt(2)
4.
x² + 2x - 1 = 2
x² + 2x + 1 = 4
(x + 1)² = 4
x + 1 = ±2
x = ±2 - 1
x1 = 2 - 1 = 1
x2 = -2 - 1 = -3
5.
in a rhombus all 4 sides are equal, and the opposite sides are parallel.
a.
so, PQ = QR
3x + 7 = -x + 17
4x = 10
x = 10/4 = 2.5
b.
the diagonals are perpendicular to each other (90°), intersect each other at their midpoints and cut their corner angles in half.
the angle RSM = angle PSM = 40°.
c.
the sum of all angles in any quadrilateral is always 360°.
in a rhombus the opposing angles are equal.
so,
the angle SPQ = angle SRQ
360 = SPQ + SRQ + PSR + PQR = 2×SPQ + 2×40 + 2×40 =
= 2×SPQ + 160
2×SPQ = 360 - 160 = 200
the angle SPQ = 200/2 = 100°.
simplify 3y-10y+y+7y
Answer: y
Step-by-step explanation:
For this, you would just add everything and then tag a y on the end.
3y-10y=-7y
-7y+y= -6y (y is the same thing as 1y)
-6y+7y= 1y which is just y
It is important to understand that you can only do this with like terms. So for example if you were asked to simplify:
5x+2x+3y+5y
the answer would be 7x+8y (you cannot combine x and y)
Hope this helps :)
Answer: y
Step-by-step explanation: I personally like to combine all the +y values first, which is equal to 11y. And then I minus 10y.
Classify the pair of angles. Then find the value of x.
Two angles share a side. One angle measures 4 x degrees and the other angle measures 2 x degrees. The sum of the angles is 90 degrees.
The pair of angles are complementary angles and the value of x is 15.
The pair of angles are complementary angles because their sum is equal to 90 degrees.
We can set up an equation based on the given information:
4x + 2x = 90
Simplifying this equation, we get:
6x = 90
Dividing both sides by 6, we get:
Value of x = 15
Therefore, the angle that measures 4x degrees is:
4x = 4(15) = 60 degrees
And the angle that measures 2x degrees is:
2x = 2(15) = 30 degrees
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In a bag, there are cards numbered from 21 to 30. Let:
• Event A be selecting an odd card
Event B be selecting a card greater than 28.
What is the PIA U B)?
Answer:
b
Step-by-step explanation:
Bank B pays 5.9% annual percentage rate compound semiannually what is the effective annual yield round to the nearest hundredth
9514 1404 393
Answer:
5.99%
Step-by-step explanation:
The relationship between the effective annual yield (e) and the nominal annual interest rate (r) compounded n times per year is ...
e = (1 +r/n)^n -1
For r = 5.9% and n = 2, the effective rate is ...
e = (1 +0.059/2)^2 -1 = 0.059870 ≈ 5.99%
This figure is a right triangular prism. The sides of its triangular bases are each 5 cm and the height of the triangular base is approximately 4.3 cm. The length of the prism between the bases is 8 cm. What is the approximate surface area of this prism?
The approximate surface area of the right triangular prism is 141.5 cm².
How to find surface area of a triangular prism?The surface area of a triangular prism can be found as follows;
surface area of a triangular prism = (perimeter × length) + (2 × base area)
Therefore,
perimeter of the triangular base = 5 + 5 + 5
perimeter of the triangular base = 15 cm
length = 8 cm
The base area = 1 / 2 bh
where,
b = baseh = heightThe base area = 1 / 2 × 4.3 × 5
The base area = 1 / 2 × 21.5
The base area = 10.75 cm²
Hence,
surface area of a triangular prism = (15 × 8) + 2(10.75)
surface area of a triangular prism = 21.5 + 120
surface area of a triangular prism = 141.5 cm²
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Answer:
Step-by-step explanation: