Answers
No figure required. If M is the midpoint of ST then SM=MT or
3x + 16 = 6x + 4
12 = 3x
x = 4
SM = 3(4)+16=28
Answer: 28
Related Questions
8 subtracted from v pls help me get the answer
Answers
What is the simplified form of this expression? (8x2-3x+1/3)-(2x2-8x+3/5)
Answers
Answer:
6x^2-11x+ 14/15
Step-by-step explanation:
find the inverse of each function
Answers
Answer:
c
Step-by-step explanation:
assume base 10
-logy = x
\( \frac{1}{ log(y) } = x\)
log base x y = 5 turns into the format x^ 5 = y
implement that to get c
Gwen makes 30 cookies in 34 hour. At this rate, how many cookies could Gwen make in 3 hours?
Answers
Answer:
Step-by-step explanation:
30/34 is .8823 or .88 of a cookie
in 3 hours, she can make 2.647 or 2.7 of a cookie
The required number of cookies made in 3 hours is 2.64.
What is Unitary method ?In order to solve a problem for two different values of a quantity, its unit value is first derived. This method is known as unitary method.
Given that,
The number of cookies made in 34 hour is 30.
Now, in order to calculate the number of cookies made in 3 hours unitary method can be used as follows,
In 34 hour the number of cookies = 30
In 1 hour the number of cookies = 30/34
Thus, in 3 hour the number of cookies = 30/34 × 3 = 2.64.
Hence, the number of cookies made with the given rate in 3 hours is 2.64.
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The temperature during a winter day was less than 8 degrees Fahrenheit. Digby wants to write an inequality for the temperature during the winter day. What constant should Digby use in the inequality?
Answers
The constant that will be used in Digby's linear inequality will be 8.
What are linear inequalities, exactly?
Inequality is a mathematical statement that states that neither side is equal. When a link causes a non-equal comparison between two expressions, an inequality develops. The inequality symbols, such as greater than symbol (>), less than symbol (<), greater than or equal to symbol (≥), less than or equal to symbol (≤), or not equal to symbol (≠), replace the equal sign "=" in the sentence. In mathematics, inequalities are classified into three types: polynomial inequalities, rational inequalities, and absolute value inequalities.
The characters '<' and '>' denote severe inequalities, whereas " ≤ and ≥ " denote slack inequalities.
Now,
Given that The temperature during a winter day was less than 8 degrees Fahrenheit.
let x be the temperature in degree Fahrenheit
then the linear inequality to show the statement will be
x<8 where 8 is a constant
Hence,
The constant that will be used in Digby's linear inequality will be 8.
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Answer:
The awnser is 8.
Step-by-step explanation:
i just know<33
The Venn diagram shows the number of customers who have purchased different types of pets from a pet store, where C represents customers who have purchased cats, D represents customers who have purchased dogs, and F represents customers who have purchased fish.
Circles C, D, and F overlap. Circle C contains 15, circle D contains 21, and circle F contains 12. The overlap of C and F contains 2, the overlap of F and D contains 0, and the overlap of D and C contains 3. The overlap of all 3 circles contains 1. Number 14 is outside of the circles.
How many people are in the set C ∩ D?
4
6
36
38
Answers
The number of people in the set C ∩ D (customers who purchased both cats and dogs) is obtained by adding the overlap of D and C (3) with the overlap of all 3 circles (1), resulting in a total of 4 individuals.
The correct answer is 4.
To determine the number of people in the set C ∩ D (customers who have purchased both cats and dogs), we need to analyze the overlapping regions in the Venn diagram.
Given information:
- Circle C (cats): 15
- Circle D (dogs): 21
- Circle F (fish): 12
- Overlap of C and F: 2
- Overlap of F and D: 0
- Overlap of D and C: 3
- Overlap of all 3 circles: 1
- Number outside of circles: 14
To determine the number of people in the set C ∩ D (customers who have purchased both cats and dogs), we need to consider the overlapping region between circles C and D.
From the information given, we know that the overlap of D and C is 3. Additionally, we have the overlap of all 3 circles, which is 1. The overlap of all 3 circles includes the region where customers have purchased cats, dogs, and fish.
To calculate the number of people in the set C ∩ D, we add the overlap of D and C (3) to the overlap of all 3 circles (1). This gives us 3 + 1 = 4.
Therefore, from the options given correct one is 4.
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Answer: 4
Step-by-step explanation:
trust me bro
I need help with this practice problem solving Make sure to read the instructions on the red line
Answers
Solution:
Given the complex number:
\(2\sqrt{3}\text{ -2i}\)Step 1: Express the complex number in polar form.
In polar form, we have
\(\begin{gathered} z=r(cos\theta+isin\theta)=rcis(\theta) \\ where \\ r\Rightarrow modulus\text{ of the complex number} \\ \theta\Rightarrow argument\text{ of the complex number} \end{gathered}\)Step 2: Evaluate the modulus of the complex number,
The modulus of the complex number is expressed as
\(\begin{gathered} r=\sqrt{x^2+y^2} \\ in\text{ this case,} \\ x=2\sqrt{3}\text{ ,y=-2} \\ thus, \\ r=\sqrt{(2\sqrt{3})^2+(-2)^2} \\ =\sqrt{12+4} \\ =\sqrt{16} \\ \Rightarrow r=4 \end{gathered}\)Step 3: Evaluate the argument of the complex number.
The argument of the complex number is expressed as
\(\begin{gathered} \theta=\tan^{-1}(\frac{y}{x}) \\ \Rightarrow\theta=\tan^{-1}(-\frac{2}{2\sqrt{3}})=\tan^{-1}(-\frac{1}{\sqrt{3}}) \\ =-\frac{\pi}{6} \\ \end{gathered}\)Thus, in polar form, the complex number becomes
\(z=4cis(-\frac{\pi}{6})\)To evaluate the fourth root, we use the De Moivres's theorem.
According, to the DeMoivres's threorem,
\(z^n=r^ncis(n\theta)\)In this case,
\(n=\frac{1}{4}\)Thus,
\(undefined\)
Frank wants to go bowling. The bowling alley charges $4 per game and a one-time charger of $3 for bowling shoes. Look at the information below:
y = 4x + 3
y is the total cost of bowling
x is the number of games bowled
Based on the information, which statement is true?
Answers
Report that other guy smh... but im not quite too sure but i believe the answer you were looking for was C. The total cost will increase by 4$ every 3 games bowled :D
A family of five rents a kayak and splits the total time, k, equally. Each family member spent less than 25 minutes kayaking. Which values can be used to complete the math sentence below so that it accurately represents the situation?
Answers
Answer:
k ÷ 5 < 25
Step-by-step explanation:
Edg.
Answer:
k ÷ 5 < 25
Step-by-step explanation:
140. (Continuation) The slope of a line is a measure of how steep the line is. It is calculated by dividing the change in y-coordinates by the corresponding change in x-coordinates betweentwo points on the line: slope = change in y . Calculate the slope of the line that goes change in xthrough the two points (1,3) and (7,6). Calculate the slope of the line that goes through the two points (0, 0) and (9, 6). Which line is steeper?
Answers
Solution:
The slope of a line is given by the following equation:
\(m=\text{ }\frac{Y2-Y1}{X2-X1}\)where (X1, Y1) and (X2, Y2) are points on the line. Taking this into account, we have to:
1. Slope of the line that goes through the two points (1,3) and (7,6):
Note that in this case
(X1,Y1) = (1,3)
(X2, Y2)= (7,6)
replacing this data into the slope-equation, we get:
\(m=\text{ }\frac{Y2-Y1}{X2-X1}\text{ = }\frac{6-3}{7-1}\text{ = }\frac{3}{6}\text{ = }\frac{1}{2}\text{ = 0.5}\)then, the slope of the line that goes through the two points (1,3) and (7,6) is:
\(m_1=\text{ }\frac{1}{2}\text{ = 0.5}\)2. Slope of the line that goes through the two points (0,0) and (9,6):
Note that in this case
(X1,Y1) = (0,0)
(X2, Y2)= (9,6)
replacing this data into the slope-equation, we get:
\(m=\text{ }\frac{Y2-Y1}{X2-X1}\text{ = }\frac{6-0}{9-0}\text{ = }\frac{6}{9}\text{ = }\frac{2}{3}\text{ =0.66}\approx0.7\)
then, the slope of the line that goes through the two points (0,0) and (9,6) is:
\(m_2=\text{ 0.66}\approx0.7\)note that
\(m_2>m_1\)
then, we can conclude that the second line ( the line that goes through the two points (0,0) and (9,6) ) is steeper than that the first line (the line that goes through the two points (1,3) and (7,6) ).
One-fifth per cent of the blades produced by a blade manufacturing factory turn out to be defective. The blades are supplied in packets of 10.Use Poisson distribution to calculate the approximate number of packets containing no defective in a consignment of1,00,000 packets.
Answers
Probability of defect per blade = 1/500 = 0.002
Poisson distribution :
Pₓ (k) = (x ^k)/k × e⁻ˣ
Where k = The number of defective blades in a packet.
For a packet of 10 blades the mean number of defect x = 0.002 × 10 = 0.02
1.) When k = 0
Pₓ(0) = (0.02⁰ / 0!) × e - 0.02 = 0.980199
The approximate number of packets containing blades with no defective is :
10000 × 0.980199 = 9802
2.) When k = 1
Pₓ(1) = (0.02 / 1!) × e-0.02 = 0.019604
Approximate number containing one defective is :
10000 × 0.019604 = 196
3.) When k = 2
Pₓ(2) = (0.02² / 2!) × e - 0.02 = 0.000196
Approximate number containing 2 defective :
0.000196 × 10000 = 1.9 = 2
4.) When k = 3
Pₓ(3) = (0.02³ / 3!) × e-0.02 = 0.000013
Approximate number containing 3 defective is :
0.000013 × 10000 = 0.13 = 0
Answer:
no defective blades in a consignment of 1,00,000 packets is 99837.
Step-by-step explanation:
we first need to find the mean number of packets containing no defective blades. This mean is equal to the total number of packets (1,00,000) multiplied by the probability of a packet containing no defective blades.
The probability of a blade being defective is given as 0.002 (or 2/1000) or 2/100 or 1/50 or 2%.
Since a packet contains 10 blades. So the probability of a packet containing no defective blades is (1 - 0.002)^10 = 0.999936 or (1-0.02)^10 = 0.99837
So the mean number of packets containing no defective blades is (1,00,000 * 0.99837) = 99837
Find the midpoint and distance between the points (-3, 7) and (3, -1)
Answers
Answer:Similarly, the distance between two points P1 = (x1,y1,z1) and P2 = (x2,y2,z2) in xyz-space is given by the following generalization of the distance formula, d(P1,P2) = (x2 x1)2 + (y2 y1)2 + (z2 z1)2. This can be proved by repeated application of the Pythagorean Theorem.
Use the distance formula:
For the mid-point, use the mid-point formulas to find the coordinates.
and
You can do your own arithmetic.
John
Step-by-step explanation:
Brainlest plz!
A bucket contains 72 red, 48 blue, 48 green, and 48 yellow crayons. The art teacher also has 120 pieces of drawing paper. What is the largest number of identical kits the art teacher can make with all of the crayons and all of the paper?
Answers
The art teacher can make a maximum of 24 identical kits using all the crayons and drawing paper for proper distribution.
To determine the largest number of identical kits the art teacher can make using all the crayons and drawing paper, we need to find the greatest common divisor (GCD) of the quantities.
The GCD represents the largest number that can divide all the quantities without leaving a remainder.
The GCD of the quantities of crayons can be found by considering the prime factorization:
72 = 2³ × 3²
48 = 2⁴ × 3
48 = 2⁴ × 3
48 = 2⁴ × 3
The GCD of the crayons is 2³ × 3 , which is 24.
Now, we need to find the GCD of the quantity of drawing paper:
120 = 2³ × 3 × 5
The GCD of the drawing paper is also 2³ × 3 , which is 24.
Since the GCD of both the crayons and drawing paper is 24, the art teacher can make a maximum of 24 identical kits using all the crayons and drawing paper.
Each kit would contain an equal distribution of crayons and drawing paper.
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8/5÷6=
i need help on this
Answers
Answer:
2 forms
Step-by-step explanation:
hope this helps <3
\( \sf \longrightarrow \: \frac{8}{5} \div 6 \\ \)
\( \sf \longrightarrow \: \frac{5}{8} \times 6 \\ \)
\( \sf \longrightarrow \: \frac{5 \times 6}{8} \\ \)
\( \sf \longrightarrow \: \frac{30}{8} \\ \)
\( \sf \longrightarrow \: \frac{8}{30} \\ \)
\( \sf \longrightarrow \: 0.26 \\ \)
_____________________________
catherine has a six sided number cube
Answers
Answer:
I need more to answer your question
Step-by-step explanation:
lve for m.
-3 + m
9 = 10
A.
-30
B.
63
C.
87
D.
93
Answers
The value of m that satisfies the equation -3 + m = 9 is m = 12.
To solve the equation -3 + m = 9, we can isolate the variable m by moving the constant term -3 to the other side of the equation.
-3 + m = 9
To move -3 to the other side, we can add 3 to both sides of the equation:
-3 + 3 + m = 9 + 3
Simplifying, we have:
m = 12
Therefore, the value of m that satisfies the equation -3 + m = 9 is m = 12.
None of the provided answer options (A, B, C, D) match the correct solution.
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how much money deposited now will provide payment of Rs. 15000 at the end of each half year for 10 years, if interest is 16% compounded six-monthly
Answers
The interest is 16% compounded semi-annually, is Rs. 121,179.10.
To determine how much money needs to be deposited now to provide a payment of Rs. 15,000 at the end of each half year for 10 years, we will use the formula for the present value of an annuity.
Present value of an annuity = (Payment amount x (1 - (1 + r)^-n))/rWhere:r = interest rate per compounding periodn = number of compounding periodsPayment amount = Rs. 15,000n = 10 x 2 = 20 (since there are 2 half years in a year and the payments are made for 10 years)
So, we have:r = 16%/2 = 8% (since the interest is compounded semi-annually)Payment amount = Rs. 15,000Using the above formula, we can calculate the present value of the annuity as follows:
Present value of annuity = (15000 x (1 - (1 + 0.08)^-20))/0.08 = Rs. 121,179.10Therefore, the amount that needs to be deposited now to provide payment of Rs. 15,000 at the end of each half year for 10 years, if the interest is 16% compounded semi-annually, is Rs. 121,179.10.
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Sydney is cutting the crust from the edges of her sandwich. The dimensions, in centimeters, of the sandwich is shown.
Answers
Answer:
The answer is B) x = 8x² + 34; 45.52 centemiters
Step-by-step explanation:
A man earns $1500 a week. He saves $500. What percentage did he spend?
Answers
Answer:
3313%
Step-by-step explanation:
Need some help pls hurry I only have till 12:00 AM CST
Answers
Answer:
First box Consistent
Second box Dependent
Third Box Consistent
Fourth Box Independent
Step-by-step explanation:
If a system has at least one solution, it is said to be consistent . If a consistent system has exactly one solution, it is independent . If a consistent system has an infinite number of solutions, it is dependent . When you graph the equations, both equations represent the same line.
Here in the question both the graphs intersect so the solution is consistent. If they wouldn't intersect each other they would be an inconsistent solution.
The difference is
Part B 287
Find the product of the expressions.
Answers
Answer:
12
Step-by-step explanation:
A cylinder has a radius of 4 millimeters. Its volume is 200.96 cubic millimeters. What is the height of the cylinder?
Answers
Answer:
3.999 millimeters.
Step-by-step explanation:
To find the height of the cylinder, we can use the formula for the volume of a cylinder:
V = πr²h
Given that the radius (r) of the cylinder is 4 millimeters and the volume (V) is 200.96 cubic millimeters, we can substitute these values into the formula and solve for the height (h).
200.96 = π(4²)h
200.96 = 16πh
To solve for h, we can divide both sides of the equation by 16π:
200.96 / (16π) = h
Using a calculator, we can calculate the approximate value of h:
h ≈ 200.96 / (16 × 3.14159)
h ≈ 3.999
Therefore, the height of the cylinder is approximately 3.999 millimeters.
6. Here is a data set:
5
10
10
10
15
100
a. After studying the data, the reasearcher realized that the value 100 was meant
to be recorded as 15. What happens to the mean and standard deviation of the
data set when the 100 is changed to a 15?
b. For the original data set, with the 100, would the median or the mean be a
better choice of measure for the center? Explain your reasoning.
Answers
The mean and standard deviation will change. Because it will not change in this case, the median is a better measure of the center. Given that the value 100 was changed to 15, the value of the mean will decrease because there is now a lower total value. As a result, the standard deviation will be reduced as well. Yes, the median is the better option. This is due to the fact that changing the value of 100 to 15 does not change the value of the median, and thus the previous information would not be changed if the median we used was.
Andy randomly selects an outfit to go to school. He can choose from 4 shirts: blue stripes, red stripes, black or white stripes. He can choose from 3 pairs of shorts: brown, blue or plaid.
Answers
Answer:
B and D
Step-by-step explanation:
The probability that Andy chooses a striped shirt and a pair of blue shorts is:
\(\frac{3}{4} * \frac{1}{3} = \frac{3}{12} = \frac{1}{4}\)
The probability that Andy chooses a striped shirt and pair of tan or plaid shorts is:
\(\frac{3}{4} * (\frac{1}{3} + \frac{1}{3}) = \frac{6}{12} = \frac{1}{2}\)
stella rewrites -2 1\2+3.7 as 3.7-2 1\2
Answers
Answer:
Step-by-step explanation:
Yes correct.
Commutative property upon integer addition/subtraction
-3 + 2 = 2 - 3
4. Raquel is presented with two loan options for a $60,000 student loan. Option A is a 10-year fixed rate loan at 4% interest compounded monthly, while Option B is a 20-year fixed-rate loan at 3% interest compounded monthly. What is the monthly payment under each option? What is the total interest for each option? Round your answers to the nearest cent.
5. Write a paragraph discussing what factors might influence Raquel’s decision when choosing between Option A and Option B for her student loan. Please discuss at least two different factors. Your paragraph should be at least 4 sentences.
Answers
Step-by-step explanation:
chicken nuggets are so bussing that the answer is c
For which of the following increasing functions f does (f-1)'(20) = 1/5
A f(x)= x + 5
B f(x) = x^3 + 5x + 20
C f(x) = x^5 + 5x + 14
D f(x)= e^x+ 5x + 19
Answers
Answer:
D f(x)= e^x+ 5x + 19
Step-by-step explanation:
D f(x)= e^x+ 5x + 19
We want to see for which one of the given functions, the inverse derivate evaluated in x = 20 is equal to 1/5.
The correct option is B: f(x) = x^3 + 5x + 20
Remember that two functions f(x) and g(x) are inverses if:
f( g(x)) = g( f(x))) = x
And for the inverse derivate of a function, we have the rule:
\(\frac{d}{dx} [f^{-1}(f(x))] = \frac{1}{f'(x)}\)
So first we need to find for what value of x each function is equal to 20, and then we need to see if the derivate of the function evaluated in that same value of x is equal to 5.
For example, for the first option we have:
A: f(x) = x + 5
We find the x-value such that the function is equal to 20.
f(15) = 15 + 5 = 20
We derivate the function.
f'(x) = 1
We evaluate the function in the x-value we got above.
f'(15) = 1
This is not the correct option, as this is not 5.
Now we need to do that for all the given options.
The only correct option will be the second one:
B: f(x) = x^3 + 5x + 20
First we find the x-value such that this is equal to 20
f(0) = 0^3 + 5*0 + 20 = 20
Then the x-value is x = 0.
Now we find the derivate of f(x).
f'(x) = 3*x^2 + 5
Now we evaluate that in the x-value we got before:
f'(0) = 3*0^2 + 5 = 5
As wanted, this is equal to 5.
Then we have:
\(\frac{d}{dx} [ f^{-1}( f(0))] = \frac{1}{f'(0)} \\\\\frac{d}{dx} [ f^{-1}(20)] = \frac{1}{5}\)
As wanted.
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a medical transcriptionist has a four drawer cabinet. one drawer is 4/5 full and one is 1/2 full and one drawer is 3/4 full. can the contents be combined into 3 drawers why or why not
Answers
Answer:
well the sum of all the fraction combined are 2.05, so you could fill 2 1/2 drawers. So technically you could use 3 drawers, but the 3rd one won't be full.
hope that helps
what is the best deal for diet coke?
12oz. for $.99
64oz. for $.2.99
128oz. for $4.99
Answers
Answer:
128 for 4.99
64 for 2.99 times 2 is more than 4.99.
12 oz. for 0.99 is also more than 4.99.
Please help me get this over with.
Answers
Answer:
B) 11
Step-by-step explanation:
The interquartile range (IQR) is defined as IQR = Q3 - Q1 where Q3 represents the upper quartile and Q1 represents the lower quartile.
In a box-and-whisker plot, Q1 is the leftmost edge of the box, so Q1=38. Q3 is the rightmost edge of the box, so Q3=49
Therefore, the interquartile range is IQR = Q3 - Q1 = 49 - 38 = 11
Answer:
11
Step-by-step explanation: