Answer:
5.6
Step-by-step explanation:
We want to find the value of x, which is part of the segment that includes the length 10.
We need to use Power of Points, one property of which essentially says that if we have two intersecting chords such that they are each cut into two parts to make a and b, and c and d, then ab = cd (see attachment).
Here, we can say that a = 10, b = x, c = 7, and d = 8. Plug these in:
ab = cd
10 * x = 7 * 8
10x = 56
x = 56/10 = 5.6
The answer is 5.6.
Each diagonal has two parts (a, b, c, and d).
The formula is ab = cd
We have the values:
a = 10
b = x
c = 8
d = 7
Put these in the formula:
10x = (8)(7)
Solve for x.
10x = (8)(7)
10x = 56
10x/10 = 56/10
x = 5.6
Therefore, the answer is x = 5.6
Best of Luck!
At 4:00am the outside temperature was -28 by 4:00pm.it had risen 38 degrees what was the temperature at 4:00pm
Answer:
10
Step-by-step explanation:
Elizabeth wants to determine the probability that she will be elected student body class president. She surveyed a random sample of 25 students. Based on this data, she has a 36% chance of being elected.
Now she wants to determine how accurate this probability may be. Which of the following would be the best method for her to do this?
Question 5 options:
Survey several more random samples of 25 students.
Recheck her math on the first survey for accuracy.
survey several more random samples of any size
Ask the same 25 students she originally surveyed to make sure they are convinced of their choices.
Answer:
My logical answer is repeat the first survey with different 25 different students
Step-by-step explanation:
The indicates 9 of 25 students surveyed chose her. To determine if her calculation is accurate she needs more survey(s).
How many surveys or the size of sample group could matter. If she surveys 3 more people, that would not be very accurate.
If she surveys 100 student that would give a better idea of how many students would vote for her, so I THINK she should repeat the first survey with the same number in the sample size, 25.
Pentagon FGHJK is similar to pentagon MPQST. K What is the value of x? A 16 cm B Not here C) 12.5 cm 18 cm G S 12 cm M P
Answer:
I think it's a (16cm) ....
If f(-2) = a and (f • g) (-2) = 2a^2, which of the following is g (-2)?
Answer: \(g(-2)=2a\)
Step-by-step explanation:
\((f \cdot g)(-2)=f(-2)g(-2)\\\\\therefore a \cdot g(-2)=2a^2 \implies g(-2)=2a\)
The function g(-2) from the given functions is 2a.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
The given functions are f(-2)=a and (f·g)(-2)=2a².
Here, (f·g)(-2)=2a²
f(-2)·g(-2)=2a²
a·g(-2)=2a²
g(-2)=2a²/a
g(-2)=2a
Therefore, the function g(-2) is 2a.
To learn more about the function visit:
https://brainly.com/question/28303908.
#SPJ2
What is the area, in the square centimeters, of the triangle shown?
Solution
- The solution steps are given below:
\(\begin{gathered} \text{ The hypotenuse is 24.} \\ \text{ Since this is a 45-45-90 triangle, the sides AB and BC are equal and they are:} \\ AB\sqrt{2}=AC \\ AB\sqrt{2}=24 \\ \therefore AB=\frac{24}{\sqrt{2}}=12\sqrt{2} \\ \\ \therefore\text{ The area of the triangle:} \\ A=\frac{1}{2}\times BC\times AB\text{ \lparen}\frac{1}{2}\times base\times height) \\ \\ A=\frac{1}{2}\times12\sqrt{2}\times12\sqrt{2} \\ \\ A=144 \end{gathered}\)Final Answer
The area is 144 square cm (OPTION A)
Solve the proportion.
3x/10=3/2
In order to solve a proportion, you should cross-multiply:-
\(\bf{\displaystyle\frac{3x}{10} =\frac{3}{2}}\)
Multiply 3x times 2 and 10 times 3:-
\(\bf{6x=30}\)
Divide both sides by 6:-
\(\boxed{\bf{x=5}}\)
note:-Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)
Which expression is equivalent to 1/3(9x + 12) + 4x + 6?
A: 7x + 18
B7x + 10
C:13x x +6
D:13x + 18
The expression is equivalent to 1/3(9x + 12) + 4x + 6 will be 7x + 10. Then the correct option is B.
What is an equivalent?The equivalent is the expression that is in different forms but is equal to the same value.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The expression is given below.
⇒ 1/3(9x + 12) + 4x + 6
Simplify the expression, then we have
⇒ 1/3(9x + 12) + 4x + 6
⇒ 3x + 4 + 4x + 6
⇒ 7x + 10
The expression is equivalent to 1/3(9x + 12) + 4x + 6 will be 7x + 10. Then the correct option is B.
More about the equivalent link is given below.
https://brainly.com/question/889935
#SPJ2
Suppose two parallel planes Q and R are intersected by Plane X. Make a conjecture about the intersections of Planes Q and X and Planes R and X.
for my geometry class
The conjecture we can make about the intersections of planes is; If two planes intersect, it means that they can't intersect at more than one line.
How to state conjectures?
We are told that two parallel planes Q and R are intersected by Plane X. Now, Intersecting planes are planes that are not parallel, and they always intersect in a line. The two planes cannot therefore intersect at more than one line.
Now, we can conclude that the conjecture we can make about the intersections of planes Q and X and Planes R and Q is that;
If two planes intersect, then it means that they cannot intersect at more than one line.
Read more about Conjectures at; https://brainly.com/question/1911774
#SPJ1
Simplify using the order of operations. 2+6*8=
Answer:
The answer is 50.
Step-by-step explanation:
Use MDAS
Multiplication, Division, Addition and Subtraction
2 + 6 * 8 =
Multiply first then add
2 + 6*8 = ?
= 2 + 48
= 50
calculation of
24 – 16 ÷ 4 x 2 + 3
Answer:
19
Step-by-step explanation:
BODMAS
Brackets.
Of
Division
Multiplication
Addition and
Subtraction
go according to the BODMAS rule and solve the division first
24-(16÷4)×2+3
Then solve the multiplication part
24-(4×2)+3
Now solve like a regular sum
24-8+3
16+3
19
The municipal swimming pool in Charlotte, North Carolina has three different ways of paying for individual open swimming. Nick is trying to decide which way to pay.
Early Pay: Pay $110.00 before Memorial Day; swim any number of days
Deposit Plus: $30.00 deposit plus $6.00 per day
Daily Pay: $9.00 per day
Write an equation for each method of payment. Write your equations in slope-intercept form so that x is the number of days and y is the cost.
a. Early Pay:
b. Deposit Plus:
c. Daily Pay:
the answer must be a y=mx+b equation for a b and c
The equations for early pay, deposit plus and daily pay is y = 110, y = 6x + 30 and y = 9x respectively.
What is an equation?An equation is an expression showing the relationship between two or more numbers and variables.
Let y represent the total cost for swimming x numbers of days.
Early Pay: Pay $110.00 before Memorial Day; swim any number of days. Hence:
y = 110
Deposit Plus: $30.00 deposit plus $6.00 per day. Hence:
y = 6x + 30
Daily Pay: $9.00 per day. Hence:
y = 9x
The equation for early pay is y = 110
Find out more on equation at: https://brainly.com/question/2972832
#SPJ1
Use cramers rule to solve the system below
2x -3y = -8
4x + 3y = -34
A) Let A be to coefficient matrix, fill in matrix a below
b) Find the determinant of matrix A.
C) Let Matrix X be the matrix used to solve for the x variable. Write this matrix below
D) find the determinant of matrix X
E) Let Matrix Y be the matrix used to solve for the 'y' variable. Write this matrix below:
F) find the determinant of matrix y
G) write your solution to the system above as a coordinate
The solution to all parts from a to f is shown below.
A) Matrix A:
[ 2 -3 ]
[ 4 3 ]
B) The determinant of matrix A is:
det(A) = (2*3) - (-3*4) = 6 + 12 = 18
C) Matrix X:
[ -8 -3 ]
[ -34 3 ]
D) The determinant of matrix X is:
det(X) = (-8*3) - (-3*-34) = -24 - 102 = -126
E) Matrix Y:
[ 2 -8 ]
[ 4 -34 ]
F) The determinant of matrix Y is:
det(Y) = 2(-34) - (-8) (4) = -68 + 32 = -36
G) Using Cramer's rule, we can solve for x and y as follows:
x = det(X) / det(A) = -126 / 18 = -7
y = det(Y) / det(A) = -36 / 18 = -2
Therefore, the solution to the system is (-7, -2).
Learn more about Cramer's rule here:
https://brainly.com/question/30682863
#SPJ1
1. Find the new value after the old value of 56 is increased by 8%.
Answer:
60.48
Step-by-step explanation:
Answer:51.52
Step-by-step explanation:
WILL MARK BRAINLEAST 100% 20 POINTS
Plz answer Honestly or I'll report your answer but only if it's wrong
-3 + { 1 – 3[20 + 2(-6 – 7)]}
SIMPLIFY ANSWER:
Answer:
16
Step-by-step explanation:
everything simplified is 16
Answer:
16
Step-by-step explanation:
To simplify, we have to start from the innermost parentheses and expand from there!
-3+{1-3[20+2(-6-7)]} -6-7=-13
-3+{1-3[20+2(-13)]} 2*-13=-26
-3+{1-3[20-26]} 20-26=-6
-3+{1-3[-6]} -3*-6=18
-3+{1+18} 1+18=19
-3+19 -3+19=16
16
I really hope this helps!! Have a wonderful day C:
what is the area of the figure
Answer:
A = 2184 cm²
Step-by-step explanation:
the area (A) of the figure is calculated as
A = \(\frac{1}{2}\) h(b₁ + b₂)
where h is the perpendicular height between the bases b₁ and b₂
here h = 42 , b₁ = 52 , b₂ = 52 , then
A = \(\frac{1}{2}\) × 42 × (52 + 52) = 21 × 104 = 2184 cm²
Answer:
A = 2184 cm2
Step-by-step explanation:
Area of a parallelogram:
\(A = b*h\)
\(b=52,h=42\)
\(A=(42)(52)=2184cm^{2}\)
Hope this helps.
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answer:the first one opn and qps
Step-by-step explanation:
Explain which event is more likely: rolling two dice and getting a total of 11, or, tossing a coin and getting three Heads in a row.
Answer:
The gambler's fallacy, also known as the Monte Carlo fallacy or the fallacy of the maturity of chances, is the erroneous belief that if a particular event occurs more frequently than normal during the past it is less likely to happen in the future (or vice versa), when it has otherwise been established that the probability of such events does not depend on what has happened in the past. Such events, having the quality of historical independence, are referred to as statistically independent. The fallacy is commonly associated with gambling, where it may be believed, for example, that the next dice roll is more than usually likely to be six because there have recently been fewer than the usual number of sixes.
The term "Monte Carlo fallacy" originates from the best known example of the phenomenon, which occurred in the Monte Carlo Casino in 1913.[1]
Write an equation in standard form of the line that contains the point (-4,2) and is parallel to (has the same slope as) the line y=7x-5
Answer:
7x-y=-30
Step-by-step explanation:
The slope of any parallel equation has to have the same slope, so our equation will be in the format of y=7x+b
No you have to use this to solve for b
2 = -4*7+b
2=-28+b
30 = b
So our equation would be y = 7x+30
Now to convert into standard form we would have to put it intto the format of Ax + By = C
so -7x+y = 30
7x - y = -30
-4x + 7 > x - 13 Graph the solution to this inequality on the number line
Answer:
x < - 4
Step-by-step explanation:
Draw a number line and find -4 then graph it
4. Find the derivative of sin x from first principle.
Step-by-step explanation:
\(\text{By First Principle,}\)
\(\begin{align}\dfrac{d}{dx}\sin x&=\lim_{h\to0}\frac{\sin(x+h)-\sin x}{h}\\&=\lim_{h\to0}\frac{\sin x\cos h+\sin h\cos x-\sin x}{h}\\&=\lim_{h\to0}\left(\frac{\cos h-1}{h}\cdot\sin x\right)+\lim_{h\to0}\left(\frac{\sin h}{h}\cdot\cos x\right)\\&=\sin x\cdot\left(\lim_{h\to0}\frac{\cos h-1}{h}\right)+\cos x\cdot\lim_{h\to0}\left(\frac{\sin h}{h}\right)\\&=\sin x\cdot 0+\cos x\cdot1\\&=\cos x\end{align}\)
\(\color{blue}\text{Note: This proof is in fact circular without the geometric proof of the value of the two limits, but for the sake of this question it is done in this way.}\)
68 65 62 72 70 79 66 72 68 63 70 68 MeanMedianMode(s)Range
The mean, median, mode and range of the data are 68.58, 68, 68 and 17 respectively.
What are measures of central tendency?A measure of central tendency is a single value that attempts to describe a set of data by identifying the central position within that set of data.
1. The mean of the data is;
mean = 62 + 63 + 65 + 66 + 68 + 68 + 68 + 70 + 70 + 72 + 72 + 79 / 12
mean = 68.58
2. The median of the data = 68
3. The mode of the data = 68
4. The range of the data = 17
Learn more on measures of central tendency here;
https://brainly.com/question/28180169
#SPJ1
Math homework help please
Answer:
answer is D
Step-by-step explanation:
(2^3)^-2= 2^(3)*(-2)
= 2^-6
= 1/2^6
= 1/64
The expressions (a), (d), (e) and (f) have values less 1.
What are expressions?Expressions in maths are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.
Solving each expression :-
1) 4¹¹ / 4¹⁴
= 4¹¹ × 4⁻¹⁴
= (4)¹¹⁻¹⁴
= 4⁻³
= 1 / 4³
2) (3⁵)² / 3⁸
= 3¹⁰ / 3⁸
= 3¹⁰⁻⁸
= 3²
= 9
3) 4⁻¹ × 4⁵
= 4⁻¹⁺5
= 4⁴
= 64
4) (2³)⁻²
= 2⁻⁶
= 1 / 2⁶
5) (5⁴)² x 5⁻¹¹
= 5⁸ x 5⁻¹¹
= 5⁻³
= 1 / 5³
6) (6⁻⁴ x 6⁶) / 6³
= 6² / 6³
= 1 / 6
Hence, the expressions (a), (d), (e) and (f) have values less 1.
For more references on expressions, click;
https://brainly.com/question/14083225
#SPJ2
A child tosses a baseball up into the air. On its way down, it gets caught in a tree for several seconds before falling back down to the ground.
Answer:
what is the question because I don't understand what you mean
what’s the answer to this i don’t get i
Answer:
32768x¹⁰
Step-by-step explanation:
by applying the law of indices
multiply the powers inside the parentheses with the power outside of the parentheses
then evaluating 2¹⁵ equals 32768
multiply by x¹⁰
the answer is 32768x¹⁰
The formula T=2pi sqrt(L/32) gives the time it takes in seconds, T, for a pendulum to make one full swing back and forth, where L is the length of the pendulum, in feet. To the nearest foot, what is the length of a pendulum that makes one full swing in 1.9 s?
The length of a pendulum that makes one full swing in 1.9 seconds is 3 feet.
As per the given data, the given formula is:
\($T=2 \pi \sqrt{\left(\frac{L}{32}\right)}\) gives the time it takes in seconds.
Where,
T is the time it takes for a pendulum to make one full swing back and forth (in seconds).
L is the length of the pendulum, in feet.
Here we need to find the length of a pendulum that makes one full swing in 1.9 seconds to the nearest foot.
Substitute the given parameters into the formula will give;
\($1.9=2 \pi \sqrt{\left(\frac{L}{32}\right)}\)
Now divide both sides by 2π.
\($ \frac{1.9}{2 \pi}=\sqrt{\left(\frac{L}{32}\right)} \\\)
\($ 0.3024=\sqrt{\left(\frac{L}{32}\right)}\)
Then taking square on both sides.
\($ (0.3024)^2=\frac{L}{32} \\\)
0.09144576 = \($\frac{L}{32}\)
Later multiply both sides by 32.
2.9262 = L
The approximate value of the length of a pendulum:
L ≈ 3
Therefore, the length of a pendulum is about 3 feet.
For more questions on length of a pendulum
https://brainly.com/question/28385005
#SPJ4
There are 54 girls on the playground. There are 25 fewer boys than girls on the playground. How many kids are on the playground?
Answer:
83 kids total
Step-by-step explanation:
There are 54 girls on the playground. There are 25 fewer boys than girls on the playground. How many kids are on the playground?
girls = 54
boys = 54 - 25 = 29
54 + 29 = 83 kids total
kids that are on the playground are 83.
What is the sum?Merging objects and identifying them since one big bunch is done through addition. In arithmetic, addition is the technique of adding two or more integers together. The product can meet are the quantities that are included, and the outcome of the operation, or the final response, is referred to as the sum.
The total number of girls that are present is 54
The data given is that there are
25 fewer boys taht are4 present
The total number of boys will be
boys = 54 - 25 = 29
The number of kids that are present will be the total of boys and girls that are present.
Kids = boys + girls
54 + 29 = 83 kids total
The quantity of kids that are present in the playground is 83.
Learn more about sum, here:
https://brainly.com/question/537797
#SPJ2
The temperature in a hotel is 21 °C.
The temperature in the hotel is 26,7°C warmer than at the top of the mountain.
The temperature at the top of the mountain is 3.2°C colder than at the bottom of the mountain.
Work out the temperature at the bottom of the mountain.
The temperature at the bottom of the mountain is 50.9 °C.
Let's work through the given information step by step to find the temperature at the bottom of the mountain.
The temperature in the hotel is 21 °C.
The temperature in the hotel is 26.7 °C warmer than at the top of the mountain.
Let's denote the temperature at the top of the mountain as T_top.
So, the temperature in the hotel can be expressed as T_top + 26.7 °C.
The temperature at the top of the mountain is 3.2 °C colder than at the bottom of the mountain.
Let's denote the temperature at the bottom of the mountain as T_bottom.
So, the temperature at the top of the mountain can be expressed as T_bottom - 3.2 °C.
Now, let's combine the information we have:
T_top + 26.7 °C = T_bottom - 3.2 °C
To find the temperature at the bottom of the mountain (T_bottom), we need to isolate it on one side of the equation. Let's do the calculations:
T_bottom = T_top + 26.7 °C + 3.2 °C
T_bottom = T_top + 29.9 °C
Since we know that the temperature in the hotel is 21 °C, we can substitute T_top with 21 °C:
T_bottom = 21 °C + 29.9 °C
T_bottom = 50.9 °C
Therefore, the temperature at the bottom of the mountain is 50.9 °C.
for such more question on temperature
https://brainly.com/question/14820864
#SPJ8
Before the search and collection of evidence, there must be _______.
A. Informed consent by the owner
B. A crime
C. A chain of custody
D. A search warrant
I’m stuck between D and B because law enforcement can conduct a search without a search warrant if there is consent by the owner. It is not C because that would be either during or after the collection of evidence.
Answer:
D) A search warrant
Step-by-step explanation:
A search warrant is required before the search and collection of evidence to ensure legal authorization and protection of individuals' rights against unreasonable searches and seizures.
Option B, "A crime", is incorrect because the presence of a crime is not a prerequisite for conducting a search and collection of evidence. There are various situations where searches and evidence collection may occur without a crime being involved, such as regulatory inspections, consented searches, or investigations into potential threats or risks.
By your logic when you say law enforcement can conduct a search without a search warrant if there is consent by the owner, that would mean option A would be right, but of course, it's not.
please help its over due
Answer:
The one furthest to the right.
Use Taylor's Inequality to determine the number of terms of the Maclaurin series for e^x that should be used to estimate e^0.1 to within 0.0000001.
The number of terms of the Maclaurin series for eˣ that should be used to estimate \(e^{0.1}\) to within 0.00001 is 4.
Taylor’s inequality:
If Rn( x ) = 0
Rn(x)=0
Rn(x)=0.
The given function is eˣ
Thus, all the derivatives of eˣ is eˣ itself.
Suppose that, the nth derivative of eˣ is eˣ
To estimate the value of \(e^{0.1}\) substitute the value of x as 0.1.
Note that Taylor series is called Maclaurin series when a=0.
Usually, Maclaurin series will starts with n=2.
Increase the value of n until the reminder is less than 0.00001.
By Taylor’s inequality,
If | \(f^{n}\)(0.1) | = \(e^{0.1}\)≤ M then | Rₙ(x) |≤\(\frac{M}{(n+1)!}\) \(|0.1-0|^{n+1}\)
Substitute the value of n as 2. Then,
\(|R2(x)|\)≤\(\frac{M}{(2+1)!} |0.1-0|^{2+1}\)
≤ \(\frac{e^{0.1}}{3!} |0.1|^{3}\)
≤ \(\frac{e^{0.1}}{6} 0.001\)
≤ 0.00018
Since \(|R2(x)|\) ≥ choose the value of n as 3. Then,
\(|R3(x)|\) ≤\(\frac{M}{(3+1)!} |0.1-0|^{3+1}\)
≤ \(\frac{e^{0.1}}{4!} |0.1|^{4}\)
≤ \(\frac{e^{0.1}}{24} 0.0001\)
≤ 0.0000046
Therefore, \(|R3(x)|\) ≤ 0.00001
That is, n=3 satisfies the inequality.
So, by adding the 4 terms (when n=0,1,2,and 3) of the Maclaurin series, it
is possible to estimate the value of \(e^{0.1}\) to within 0.00001.
Thus, the number of terms of the Maclaurin series for eˣ that should be used to estimate \(e^{0.1}\) to within 0.00001 is 4.
The number of terms of the Maclaurin series for eˣ that should be used to estimate \(e^{0.1}\) to within 0.00001 is 4.
To learn more about Maclaurin series visit:
brainly.com/question/24188694
#SPJ4