The value of x in first part = 16
The value of x in second part = 10
Part a
The angle U = angle Z = 54 degrees
Angle V = angle Y = 67 degrees
Therefore angle W = angle X
The sum of the angles in a triangle is 180 degrees
Then, the equation will be
54 + 67 + a = 180
121 + a = 180
a = 180 - 121
a = 59 degrees
Then
4x - 5 = 59
4x = 59 + 5
4x = 64
x = 64/4
x = 16
Part 2
Similarly the unknown angle as b
Sum of the the angles in a triangle is 180 degrees
58 + 74 + b = 180
132 + b = 180
b = 180 - 132
b = 48 degrees
Then the equation will be
5x - 2 = 48
5x = 48 + 2
5x = 50
x = 50/5
x = 10
Therefore, the value of x in the part a and part b are 16 and 10 respectively
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a bag contains 6 white balls 9 black balls and 4 red balls. Four balls are selected from this bag then find the number of ways that all four balls are of same colour
Hope this answer helps you....
I accidently answered this I'm sorry!! Is there a way 2 delete my answer?
Select oneeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
#C
Step-by-step explanation:
I am almost 95% positive it's C because if you look at the Isosceles shaped diagram.
a. The number 6 is 7 units away from 13 on a number line.
Which other integer is 7 units away from 6 on a
number line?
B.which integers are 10 units away from 5 on a number line?
C.Starting at -7 on a number line,Darcy moved 4 units to the right. What integer did Darcy land on?
Please answer thiss, thank you guys so much!!!!!!! :)
Yes let's see
#1
6+7=136-7=-1Thats -1
#2
5-10=-5Thats -5
#3
Right means positive
-7+4=-3A circle's area is directly proportional to its radius squared.
What is the constant of proportionality (to 2 decimal places)?
(Area of a circle = rr2)
9514 1404 393
Answer:
3.14
Step-by-step explanation:
The formula for the area of a circle is ...
A = πr²
The constant of proportionality is the constant in this equation: π. To two decimal places, the value of π is 3.14.
The constant of proportionality is about 3.14.
A 24,000-gallon pool is being filled at a rate of 50 gallons per minute. At this rate, how many minutes
will it take to fill this pool full?
Answer: 480 minutes or 8 hours
Step-by-step explanation:
24,000 ÷ 50 = 480.
It will take 480 minutes to fill the pool.
480 minutes ÷ 60 is also 8. So it will take 8 hours to fill the pool, or 480 minutes. Whichever one you want to use.
Hope this helps!
Answer:
480 Minutes or 8 Hours
Step-by-step explanation:
If you do 24,000 divided by 50 you get a result of 480
2x + 3=-7?what is this even mean
Answer:
2 times some thing and plus 3 equals -7
Step-by-step explanation:
x = -5
Here are the shopping times (in minutes) of ten shoppers at a local grocery store.
Complete the grouped frequency distribution for the data.
In the distribution, the frequency of a class is the number of shopping times in that class.
(Note that we are using a class width of 5.)
The frequency which is to filled in the table is 1, 4, 2 and 4.
Given that;
All shopping time of ten shopkeeper:
25, 29, 25, 18, 24, 28, 36, 25, 33, 37
We have to complete the frequency in the table. Frequency of something is the number of times that number is coming.
Since, Shopping time is given as ,
25, 29, 25, 18, 24, 28, 36, 25, 33, 37
And, Intervals for which frequency is given is ,
18 to 22, 23 to 27, 28 to 32, 33 to 37.
Hence, WE get;
Numbers in the range 18 to 22 = 18 therefore 1
Numbers in the range 23 to 27 = 25, 25, 24, 25 therefore 4
Numbers in the range 28 to 32 = 29, 28 therefore 2
Numbers in the range 33 to 37 = 36, 33, 37, therefore 3
Hence, the frequency which is to filled are 1, 4, 2 and 4.
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-5 n + 3( 6 + 7 n )=
We need to solve the operation:
\(\begin{gathered} -5n+3\cdot(6+7n)=-5n+3\cdot6+3\cdot7n \\ -5n+3\cdot(6+7n)=-5n+18+21n \\ -5n+3\cdot(6+7n)=16n+18 \end{gathered}\)The answer is 16n+18
1. The proportion, p, of consumers who shop with coupons
is the ratio of the number, C, of consumers who use coupons
to the number, N, of consumers asked. Write an equation
for the proportion of consumers who shop with coupons.
The equation for the proportion, p, of consumers who shop with coupons is: p = C/N where C is the number of consumers who use coupons and N is the total number of consumers asked.
What is equation?An equation is a mathematical statement that indicates the equality of two expressions. It consists of two expressions separated by an equal sign (=). The expression on the left side of the equal sign is equivalent to the expression on the right side. Equations can have one or more variables, which are usually represented by letters such as x, y, or z. The goal in solving an equation is to determine the value(s) of the variable(s) that make the equation true. This involves manipulating the expressions on both sides of the equal sign using algebraic operations such as addition, subtraction, multiplication, and division, to isolate the variable on one side of the equation. Equations are used in many areas of mathematics and science to represent relationships between variables and to solve problems. They are also used in various fields such as engineering, physics, and economics to model real-world situations and make predictions based on mathematical analysis.
Here,
This equation represents the ratio of the number of consumers who use coupons to the total number of consumers. It is commonly used in statistics and market research to measure the prevalence of a certain behavior or preference among a population. By calculating the proportion of consumers who use coupons, businesses can make informed decisions about their pricing strategies, promotions, and advertising campaigns.
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The following image is a piece of tile from a bathroom floor. What does the bolded line represent?
A. a line
B. a line segment
C. a ray
D. a plane
The bolded line represents a line segment rather than a line or a plane.
What is a line?A line refers to an infinite figure that extends to the sides. For example, the railway track is composed of two lines.
What is a line segment?This differs from a line because it is not infinite, instead, it is a section of a line with two endpoints. This concept applies to the bolded section of the tile because the section shows only a section of a line between two corners rather than a complete line.
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Answer:
The answer is B
Step-by-step explanation:
Hoang has worked as a nurse at Springfield General Hospital for 5 years longer than her friend Bill. Two years ago, she had been at the hospital for twice as long. How long has each been at the hospital?
5 years longer then Bill, 2x5=10.
10+2=12.
12-5=7
Hoang has be there for 12 years. Bill has for 7 years.
Which of the following is the value of a when the function f(x) = 3|x| written in the standard form of an absolute value function?
–1
–3
1
3
Answer: -1 Is the answer.
Which fraction is greater than 1/2 and less than 3/4 ?
Answer:
a. \( \frac{2}{3} \)
Step-by-step explanation:
The fraction, \( \frac{2}{3} \) is greater than \( \frac{1}{2} \) and less than \( \frac{3}{4} \).
How do we know this? See below how the fractions are compared together.
First, compare \( \frac{2}{3} \) and \( \frac{1}{2} \).
Find a common denominator for both fractions:
Common denominator of 2 and 3 would be 6. Therefore, multiply as follows:
\( \frac{2 \times 2}{3 \times 2} = \frac{4}{6}\) and
\( \frac{1 \times 3}{2 \times 3} = \frac{3}{6} \).
Compare the numerators. Which one is greater?
Form the calculation above:
\( \frac{2}{3} = \frac{4}{6} \) has a numerator of 4.
.
\( \frac{1}{2} = \frac{3}{6} \) has a numerator of 3.
Since 4 is greater than 3, therefore, the fraction, \( \frac{2}{3} \) is greater than \( \frac{1}{2} \).
✍️Compare \( \frac{2}{3} \) and \( \frac{3}{4} \).
Find a common denominator for both fractions
\( \frac{2 \times 4}{3 \times 4} = \frac{8}{12} \) and
\( \frac{3 \times 3}{4 \times 3} = \frac{9}{12} \)
Comparing their numerator, 8 is less than 9, therefore:
\( \frac{2}{3} \) is less than \( \frac{3}{4} \).
✔️We can conclude that:
\( \frac{2}{3} \) is greater than \( \frac{1}{2} \), and less than \( \frac{3}{4} \).
8) find the values of c that satisfy Rolle's Theorem.
SHOW STEPS
Hence the value of c = 4 in [3,5] for Rolles theorem.
Rolle's Principle
If a function f is defined in the closed interval [a, b] in a manner that meets the requirements listed below.
The interval [a, b] is closed and the function f is continuous.
ii) On the open interval, the function f can be differentiated (a, b)
iii) If f (a) = f (b), then at least one value of x exists; in this case, let's assume that this value is c, which is situated between a and b, i.e. (a c b), in such a way that f'(c) = 0.
There exists a point x = c in (a, b) such that f'(c) = 0 if a function is continuous on the closed interval [a, b] and differentiable on the open interval (a, b).
let f(x)=x²-8x+12 in [3,5]
i) f(x) is continuous in closed interval [3,5] because f(x) is algebraic function.
ii) f(x) is differentiable in the open interval (3,5) since the algebraic function is differentiable.
now f(3)=3²-8*3+12
f(3)= 9-24+12
f(3)= -3
f(5) = 25-40+12
f(5)= - 3
f(3) = f(5)
f'(x)= 2x-8
x=c ,c in [3,5]
f'(c)= 2c-8
2c-8=0
c=4
Hence the value of c = 4 in [3,5] for Rolles theorem.
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what equation can be used to represent the relation shown in the table ?
xA radioactive isotope is decaying at a rate of 20% every hour. Currently there are 15 grams of the substance.
Questions:
A. Write an equation that will represent the number of grams present after n hours
B. How much will be left after 24 hours (one day)? (Round to the nearest hundredth)
C. After how many hours will there be approximately one gram left?
B. After 24 hours, approximately 2.49 grams will be left.
C. After approximately 18.13 hours, there will be approximately one gram left.
A. To represent the number of grams present after n hours, we can use the equation:
N(n) = 15 × (1 - 0.2)^n
Where:
N(n) is the number of grams present after n hours,
15 is the initial amount of the substance in grams,
0.2 represents the decay rate of 20% per hour, and
^n represents the exponentiation operation.
B. To find out how much will be left after 24 hours, we can substitute n = 24 into the equation from part A:
N(24) = 15 × (1 - 0.2)^24
Calculating this expression, we find that approximately 2.49 grams will be left after 24 hours.
C. We need to determine the number of hours it takes until there is approximately one gram left. We can set up the equation:
1 = 15 × (1 - 0.2)^n
To solve for n, we can divide both sides of the equation by 15 and then take the logarithm (base 0.8) of both sides:
log(0.8)(1/15) = n
Using a calculator or logarithmic properties, we find that approximately 18.13 hours are required until there is approximately one gram left.
Therefore, the answers are:
B. After 24 hours, approximately 2.49 grams will be left.
C. After approximately 18.13 hours, there will be approximately one gram left.
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I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answer:34a
Step-by-step explanation:
because 6a-4=2a
4a+28=32a
2a+32a=34a
5(10v-8w+4) as a distributive property
Using distributive property, the solution to the given expression is: 50v - 40w + 20
How to use distributive property?The Distributive Property is a term which is an algebra property which is used to multiply a single term and two or more terms inside a set of parentheses.
For example:
4(3 + 5)
According to the distributive property, you first have to multiply out the bracket to get:
4*3 + 4*5 = 12 + 20
= 32
Thus:
5(10v - 8w + 4) = (5 * 10v) - (5 * 8w) + (5 * 4)
= 50v - 40w + 20
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The equation below shows the relation between the temperature in degrees Celsius, C, and degrees Fahrenheit, F: F = 9/5C + 32
Which of the following formulas correctly solves for C?
A. C = 5F - 32/9
B. C = 5F/9 - 32
C. C = 9/5 (F - 32)
D. C = 5/9 (F - 32)
The formula that correctly solves for C is D. C = 5/9 (F - 32)
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign = .
The given formula is,
F = 9/5C + 32
where Celsius is C, and degrees Fahrenheit is F
To solve for C let us isolate C to the one side and other terms to the other,
9/5 C = F - 32
Multiplying both side by 5/9 we get,
9/5 C *5/9 = 5/9* (F - 32)
or, C = 5/9 (F - 32)
which is the formula for C.
Thus, the formula that correctly solves for C is D. C = 5/9 (F - 32)
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PLEASE HELP ME PLSSSSS!!! The question is on the photo!!!
Answer:
unit of cubes in a three dimension figure
Determine the amplitude of function
The amplitudes of functions are a) 8 and b) 6.
Given are the functions we need to determine the amplitude of function,
a) y = 8 Sin (x/2) + 3
b) y = 6 Cos x + 2
So,
To determine the amplitude of a trigonometric function, you can follow these steps:
For a sine function of the form y = A×sin(Bx + C) + D:
The amplitude is equal to the absolute value of the coefficient A.
For a cosine function of the form y = A×cos(Bx + C) + D:
The amplitude is equal to the absolute value of the coefficient A.
Let's apply these steps to the given functions:
a) y = 8×sin(x/2) + 3
The coefficient of sin in this function is 8, so the amplitude is |8| = 8.
Therefore, the amplitude of function a) is 8.
b) y = 6×cos(x) + 2
The coefficient of cos in this function is 6, so the amplitude is |6| = 6.
Therefore, the amplitude of function b) is 6.
Hence the amplitudes of functions are a) 8 and b) 6.
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Whats 3/8 + 3 7/12=?
Answer:
3.95833333333
Step-by-step explanation:
Solve for z
-3z-2/2 <5
Answer:
z> -2
Step-by-step explanation:
STEP 1) Any expression divided by itself equals 1
-3z-1<5
STEP 2) Move the constant to the right-hand side and change its sign
-3z<5+1
STEP 3) Add the numbers
5+1= 6
-3z<6
STEP 4) Divide both sides of the inequality by -3 and flip the inequality sign
z>-2
please help me asap
Answer:
Step-by-step explanation:
it is B
What is the critical value t* for constructing a 95% confidence interval for a mean from a sample size of n=20 observations?
The critical value t* for a two-tailed 95% confidence interval with 19 degrees of freedom is approximately 2.093.
How to determine the critical value tThe critical value t* depends on the degrees of freedom (df) and the desired level of confidence. For a 95% confidence interval and a sample size of n=20, the degrees of freedom would be df = n-1 = 19.
Using a t-distribution table with 19 degrees of freedom (since n-1=20-1=19), we can find the value of t* that corresponds to a 95% confidence level. For a two-tailed test (which is typically used for a confidence interval), the area in each tail is 0.025 (since 1 - 0.95 = 0.05, and we need to split this evenly between the two tails).
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helpppppppppppppp with this
Answer:
1.
7 -3n
2.
2(p -10)
3.
4(3 +x)
4.
10 - 2w
5.
C = 45h + 125
6.
16 + 2x
7.
3n ÷ 4+n
WILL GIVE BRAINLIST! PUT THESE NUMBERS ON THE PLOT
Answer:
"fair" srry im only in 8th so im d.u.m
Step-by-step explanation:
solve for the variable x
Answer:
x = 7
Step-by-step explanation:
Triangle = 180˚ so
8x =56 , because x is 7. I know this bc it is a little bit more than 53 (you can tell just by looking at the triangle.)and it is impossible for it to be higher than 56, because angle c is more than 56. And I also checked it, so it is right.
e + d + c = 180
53 + 56 + c = 180
180 - 109 = 71 so
71 = c
The line segment equation thing:
A straight line segment is equal to 180˚ as well so...
14(7) + 5
98 + 5
103
angle J = 103
Check:
53 + 56 + 71 = 180
The jacket at the department store originally cost $199. It was selling so well that the store decided to increase the price by 25 percent. What was the new cost of the jacket?
Answer:
$248.75
Step-by-step explanation:
25% more of 199 is 248.75
help its 50 percent of my grade
Answer:A=144 P=40
Step-by-step explanation:
Answer:
Area is \(96^{2}\) feet
Perimeter is 40ft