Based on the bisection of line BC by point A, the value of x is 10/3
How to determine the value of x?The given parameters are:
Point A bisects BCBA = 6x - 3 AC= 3x + 7Because the point A bisects BC, then
BA = AC
Substitute the known values in the above equation
So, we have
6x - 3 = 3x + 7
Collect the like terms
6x - 3x = 3 + 7
Evaluate the like terms
3x = 10
Divide both sides of the equation by 3
x = 10/3
Hence, based on the bisection of line BC by point A, the value of x is 10/3
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Maria found that 4 bags of leaves weight 6 pounds and 8 bags of leaves weight 12 pounds .She made a graph to help her find the weight of the other bags
which ordered pair follows the pattern in the graph
Answer:
Each bag had weighed about 1 1/2 (or 1.5) pounds.
Step-by-step explanation:
6 divided by 4 should end in a result of the unit weight 1.5 lbs.
I hoped this Helped and i Hope that You have a Splendid day!!!Answer:
3, 4
Step-by-step explanation:
i divided 6 and 8 by 2 and got 3,4
boom magic
Cam anyone answer these 4 questions?
Answer:
The first one is correct
Step-by-step explanation:
ITs all good
Need Help ASAP. Thank you :)
The value of x, considering the consecutive interior angles in this problem, is given as follows:
x = 30.
What are consecutive interior angles?We have two parallel lines that are cut by a transversal, and the two angles are between the parallel lines and on the same side of the transversal, meaning that they are consecutive interior angles.
Consecutive interior angles are supplementary, meaning that the sum of their measures is of 180º, hence the value of x can be found as follows:
3x - 8 + 4x - 22 = 180
7x - 30 = 180
7x = 210
x = 210/7
x = 30.
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what is the y-intercept of the line shown below?
A:3/4
B:2
C:3
D:4
The y-intercept is the y value where the blue line crosses the Y axis which is the vertical black line.
The line crosses at the number 4, so the y-intercept is 4
Answer: D. 4
50 points for the answers to this question
Answer:
linear, non linear, non linear, non linear
please some help me with this.
A polling firm wants to predict the success of a grocery store, and conducts surveys of randomly selected residents. The residents are asked whether they will shop for produce at the grocery store. The results are shown in the table. The actual percent of residents who will shop for produce at the grocery store is expected to be furthest away from which number?1)37.5%2)50.0%3)61.9%4)56.0%
The smaller the sample size, the greater the uncertainty in our estimate.
From the options, 37.5% is obtained from the smallest sample size (8) and thus the percent is expected to be furthest away from this value.
Answer: 37.5%.
show that the volume of the unit cube is one
Check the picture below.
the exact value of sin 5pi/12 is
The exact value of sin(5π/12) is (√6 + √2)/4
Calculating the exact value of sin 5pi/12From the question, we have the following parameters that can be used in our computation:
sin 5pi/12
Express properly
So, we have
sin(5π/12)
Convert the angle to degrees
This gives
sin(5π/12) = sin(5/12 * 180)
Evaluate
sin(5π/12) = sin(75)
The actual value of sin(75) is (√6 + √2)/4
This means that
sin(5π/12) = (√6 + √2)/4
Hence, the exact value of sin(5π/12) is (√6 + √2)/4
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The exact value of sin 5π/12 is (√6 + √2)/4
What is trigonometric function?The trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.
Angle in trigonometry can be measured in either degree or radian.
π is a measurement in radian which is equivalent to 180° in degrees.
Therefore:
5π/12 = 5 × 180/12
= 75°
Therefore sin5π/12 = sin75°
sin75 = sin( 45+30) = sin45cos30+ cos 45sin30
= 1/√2 × √3/2 + 1/√2 × 1/2
= √3/2√2 + 1/2√2
= (√3+1)/2√2
rationalizing;
(2√6 + 2√2)/8
dividing through by 2
=(√6 + √2)/4
therefore tan75 =(√6 + √2)/4
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Arianna is packing scented candles and candle holders into gift boxes. She has 84 candles and 48 holders, and each box must contain both items. She puts the same number of candles in each box, and the same number of holders in each box. What is the maximum number of gift boxes Arianna can pack, and how many scented candles and candle holders will each box have?
A.
4 boxes; 21 scented candles and 12 candle holders
B.
6 boxes; 14 scented candles and 8 candle holders
C.
12 boxes; 7 scented candles and 4 candle holders
D.
24 boxes; 3 scented candles and 2 candle holders
The answer is A
Hope this helps!
5x - 20y = 2 in
slope intercept form
Answer:
-20+5x=2.
Step-by-step explanation:
..............
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
A fighter jet F and a helicopter H leave the airport A at the same time. The jet flies 25 km on a bearing of 040° and the helicopter flies 30 km on a bearing of 320°. How far apart are the aircraft? (Use a scale of 1 cm to represent 5 km.)
Answer:
FH = 35.64
Step-by-step explanation:
(∠A = 360 so the other angle is 40)
By law of cosines,
FH² = AH² + FA² - 2(AH)(FA) * cos(A)
= 30² + 25² - 2(30)(25) * cos(80)
= 900 + 625 - 1500 * 0.17
= 1525 - 255
FH² = 1270
FH = √1270
FH = 35.64
p= ?
m∠RTS=?
explain how you find the requested values
The angle of the T in the ΔRST is 100° and the value of p is 11.
Define Triangle.
A triangle is a polygon that consists of three sides and three vertices. The fact that the interior angles of a triangle add up to 180 degrees is the most crucial aspect of triangles. This characteristic is known as the angle sum property of a triangle.
i.e., In a give ΔABC, ∠A + ∠B + ∠C = 180°.
Given:
∠R = 37°; ∠S = 43°; ∠T = 10p-10°
Let's take ∠T = x
In ΔRST,
∠R + ∠S + ∠T = 180°
37 + 43 + x = 180°
x = 180 - 80 ⇒ 100
∴ ∠T = 100°
To find the value of p,
∠T = 100
10p - 10 = 100
10p = 110 ⇒ 11
∴ p = 11
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7th grade math help me plzzz
Answer:
a. -10 + 8
b. -20 +10
c. -20 + 20
d. -20 +5
Step-by-step explanation:
can u give me brainliest please?? :>
In the equation 3x=36+9 what is the next step in the equation solving sequence
Answer:
First step: Combine like terms, Answer: \(x=15\)
Step-by-step explanation:
First, we need the variable on the left side and constants on the right.
So, we combine like terms to get \(3x=36+9=45\).
Then, we can divide both sides by \(3\) to isolate the variable and get \(\boxed{x=15}\).
20 points
Use Pythagoras' theorem to work out the
height of the equilateral triangle below.
Give your answer in centimetres
(cm)
Answer:
9 × √3 cm or approximately 15.59 cm
Step-by-step explanation:
(look at the picture)
please help! Write the equation of line that has a y-intercept of -6 snd a slope of 3
Answer:
y=3x+6
Step-by-step explanation:
the equation of a line in
slope-intercept form
is.
xy=mx+b
An experiment was conducted by having a group of children solve a puzzle. It was found that of those who had solved the puzzle on a given trial, 40% could solve it on the next trial. And of those who couldn't solve the puzzle on a given trial, 10% could solve it on the next trail. At the present time, 80% of the children solved the puzzle on the current trial, but 20% did not. Assume that this process can be modeled as a Markov process.
Write the transition matrix. Label the columns and rows, using S for "able to solve" and NS for "not able to solve.
Write the initial distribution matrix.
What percent of the children will be able to solve the puzzle on the next trial (trial 1)?
What percent of the children will be able to solve the puzzle on trial 2?
After many trials, what percent of the children will fail to solve the puzzle on each trial?
Answer:
I hope this helps!
Step-by-step explanation:
Please mark brainiest
which mixed number is equivalent to the improper fraction of 41/10
Answer:
4 1/10 when u have a inproper fraction like that every 10 is one whole number
Thomas has a collection of 25 coins; some are dimes and some are quarters. If
the total value of all the coins is $5.05, how many kinds of coins are there
Answer:
17 quarters and 8 dimes
Step-by-step explanation:
10dimes +25*(25-dimes)=505
Find the point below that lies on the line y - 6 = 3(x-5).
O A. (5,6)
O B. (1,-5)
O C. (6,5)
O D. (4, -3)
O E. (3,-1)
Which is different? Find "both" answers.
Answer : The different is, find BC - AC and find AC + CB, find AB and find CA + BC are same.
Step-by-step explanation :
As see that, AB is a line segment in which point C is represented in between the line.
As we are given that:
AC = 3
CB = 7
So,
AC + CB = 3 + 7 = 10
Similarly,
CA + BC = 3 + 7 = 10
Similarly,
AB = AC + CB = 3 + 7 = 10
But,
BC - AC = 7 - 3 = 4
From this we conclude that, find AC + CB, find AB and find CA + BC are same things while find BC - AC is a different thing.
Hence, the different is, find BC - AC and find AC + CB, find AB and find CA + BC are same.
Answer:
Find BC-AC is the correct answer
Step-by-step explanation:
Serena paid $194.99 for a game system and then bought two equally-priced games. She spent a total of $284.97.
If p represents the price of one game, which equation represents the situation?
What is the price, p, of one game?
Answer:
The price of each game is $44.99, so P = 44.99
Equation: 2p + 194.99 = 284.97
Step-by-step explanation:
284.97 - 194.99 = 89.98
89.98 divided by 2 = 44.99
If f(x)=x² – 4x, what is the value of 2f(a-1)?
The correct value of 2f(a-1) is 2a^2 - 12a + 10.
To find the value of 2f(a-1), we need to substitute (a-1) into the function f(x) and then multiply the result by 2.
Given: f(x) = x^2 - 4x
Substituting (a-1) into the function:
f(a-1) = (a-1)^2 - 4(a-1)
Expanding and simplifying:
f(a-1) = (a^2 - 2a + 1) - (4a - 4)
f(a-1) = a^2 - 2a + 1 - 4a + 4
f(a-1) = a^2 - 6a + 5
Now, we multiply the result by 2:
2f(a-1) = 2(a^2 - 6a + 5)
Expanding:
2f(a-1) = 2a^2 - 12a + 10
Therefore, the value of 2f(a-1) is 2a^2 - 12a + 10.
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what is the slope of the line -3y=12x+6
Answer:
Step-by-step explanation:
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1) A sample of 49 observations is taken from a normal population. The sample mean is 55 and the sample standard deviation is 10. Determine the 99% confidence interval for the population mean.
2) The Fox TV network is considering replacing one of its primetime crime investigation shows with a new family-oriented comedy show. Before a final decision is made, network executives commission a sample of 400 viewers. After viewing the comedy, 250 indicated they would watch the new show and suggested it replace the crime investigation show.
A) Estimate the value of the population proportion.
B) Compute the standard error of the proportion.
C) Develop a 99% CI for the population proportion.
D) Interpret your findings.
1) The 99% confidence interval for the population mean is;
CI = (51.32, 58.68)
2)(a) The value of the population proportion is; 0.625
b) The standard error of the proportion is; 0.0624
c) A 99% CI for the population proportion is; CI = (0.5626, 0.6874)
d) The interpretation is that the proportion of those who watched the new show and suggested it replace the crime investigation show is between 0.5626 and 0.6874
How to find the confidence interval?1) We are given;
Sample size; n = 49
Sample Mean; x' = 55
Standard deviation; s = 10
Confidence level = 99%
Formula for confidence level is;
CI = x' ± z(s/√n)
z at 99% is; 2.576
Thus;
CI = 55 ± 2.576(10/√49)
CI = (51.32, 58.68)
2) The formula for confidence interval for proportion is;
CI = p ± z√(p(1 - p)/n)
We are given;
Sample size; n = 400
X = 250
a) Thus, population proportion = 250/400 = 0.625
b) Standard error is given by the formula;
SE = z√(p(1 - p)/n)
SE = 2.576√(0.625(1 - 0.625)/400)
SE = 0.0624
c) The 99% CI for the population proportion is;
CI = 0.625 ± 0.0624
CI = (0.5626, 0.6874)
D) The interpretation is that the proportion of those who watched the new show and suggested it replace the crime investigation show is between 0.5626 and 0.6874
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Use f(x) = 4x - 3 and g(x) = 5 - x2 to evaluate the expression.
(a)
(f o g)(x)
(b)
(g o f)(x)
A
The expression will be; part (a) (f o g)(-2) = 2 and part (b) (g o f)(-2) = -95
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Given the functions as;
f(x)=4x-2
g(x)=5-x^2
We need to find (f o g)(-2)
So, first, we will find the function (f o g)(x) as follows:
\(\begin{gathered} \mleft(f\circ g\mright)(x)=f\lbrack g(x)\rbrack=4(5-x^2)-2 \\ (f\circ g)(x)=20-4x^2-2 \\ (f\circ g)(x)=18-4x^2 \end{gathered}\)
Now, substitute with x = -2 then we get;
\((f\circ g)(-2)=18-4\cdot(-2)^2=18-4\cdot4=18-16=2\)
Thus, the answer to the part is (a) (f o g)(-2) = 2
b) (g o f)(-2)
We need to find (g o f)(x) as follows:
\((g\circ f)(x)=g\lbrack f(x)\rbrack=5-(4x-2)^2\)
Now Substitute with x = -2, then we get;
\(\begin{gathered} (g\circ f)(-2)=5-(4\cdot-2-2)^2 \\ =5-(-8-2)^2 \\ =5-(-10)^2 \\ =5-100 \\ =-95 \end{gathered}\)
Thus, the answer to the part (b) is (g o f)(-2) = -95
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I am lost on this question i found both but it keeps on telling me i am incorrect
Answer:
I have completed the answers and attached them to the explanation.
Step-by-step explanation:
Answer:
Step-by-step explanation:
The question asks for a subtraction expression:
length is always a positive number so bigger number first here.
OB = 4-(-1) >only moves in x direction so subtract x's
AB = 4-(-2) >only moves in y direction so subtract y's
math hw for tonight
help solve this problem! Thank you!
ap cal bc
The antiderivative of the function is t³/3 i + ln |cos(t)| j.
option C.
What is the antiderivative of the function?The antiderivative of the function is calculated as follows;
r = t²i + tan(t)j
tan(t) = sin(t)/cos(t)
Substituting sin(t)/cos(t) for tan(t) in the given function;
r = t²i + (sin(t)/cos(t))j
The antiderivative of sin(t)/cos(t) with respect to t is calculated as;
u = cos(t)
du = -sin(t)dt
∫ (sin(t)/cos(t)) dt = -∫ du/u
= -ln |u| + C
= -ln |cos(t)| + C
The antiderivative of t² is calculated as;
∫ t² dt = t³/3 + C
Add the two equations, to obtain the antiderivative;
∫ r dt = t³/3 i + ln |cos(t)| j
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