Answer:
22
Step-by-step explanation:
10^2+20^2=c^2
100+400=c^2
500=c^2
c=22
there might be 2 answers or one not sure help pleas e
Explanations:
The expression is given as:
\(f(x)\text{ = 2 }\times3^x\)The values of x given in the tables are: x = 1, x = 2, x = 3
Let us find the values of f(x) for each value of x and see which of the tables is correct.
\(\begin{gathered} \text{For x = 1} \\ f(1)\text{ = 2 }\times3^1 \\ f(1)\text{ = 2 }\times3 \\ f(1)\text{ = 6} \end{gathered}\)\(\begin{gathered} \text{For x = 2} \\ f(2)=2\text{ }\times3^2 \\ f(2)\text{ = 2 }\times\text{ 9} \\ f(2)\text{ = 18} \end{gathered}\)\(\begin{gathered} \text{for x = 3} \\ f(3)\text{ = 2 }\times3^3 \\ f(3)\text{ = 2}\times27 \\ f(3)\text{ = 54} \end{gathered}\)Therefore, the values of f(x) for x = 1, 2, 3 are 6, 18, and 54 respectively. The third table (option C) is the right choice.
The Answer I believe is the 3rd Box
Write an equation of the graph shown in terms of cosine:
Answer:
Step-by-step explanation:
A squiggly line can refer to a variety of different shapes or patterns. To create an equation using cosine that resembles a squiggly line, you can use a combination of sine and cosine functions with different frequencies and amplitudes. Here's an example equation that produces a squiggly pattern:
y = A * cos(B * x) + C * sin(D * x)
In this equation, A, B, C, and D are constants that you can adjust to modify the shape and characteristics of the squiggly line. By experimenting with different values for these constants, you can create various squiggly patterns. Keep in mind that the specific equation may vary depending on the exact shape and features you have in mind for the squiggly line.
What is the value of x in the equation below?1+2e^x+1=9a). x=log4-1b) x=log4c). x=Ln4-1d). x=ln4
The -1 part is not inside the natural log.
==============================================
Work Shown:
1 + 2*e^(x+1) = 9
2*e^(x+1) = 9-1
2*e^(x+1) = 8
e^(x+1) = 8/2
e^(x+1) = 4
x+1 = Ln(4)
x = Ln(4) - 1
Part D:
240 out of 1200 adults in survey of Western states named cookie dough as their favorite. Use the double number line to find the percent of Westerners who liked cookie dough best. Please label each of the points on the top and bottom number lines that you use to find your answer.
1200/240=5
so 240 goes into 1200 5 times, just like 20% goes into 100% 5 times.
The answer would be 20%.
Hope this helps!
There is a cylinder with a height of 8 units and a volume of 72 cubic units. What is the radius of the cylinder?
Answer:
Radius of the cylinder = 1.69 units
Step-by-step explanation:
Volume of a cylinder is given by the expression,
Volume = Area of the circular base × Height of the cylinder
Area of the circular base = πr²
Here, r = Radius of the circular base
Volume of the cylinder = πr²h
By substituting the values given in the question,
72 = π(r)²8
r² = \(\frac{9}{\pi }\)
r² = 2.865
r = 1.692
r = 1.69 units
larger triangle is made from smaller, similar triangles. The perimeter of this larger triangle is 32 times larger than the perimeter of one of the smaller triangles. How many smaller triangles are used to form this larger triangle?
Answer:
1024
Step-by-step explanation:
We can solve this using areas.
The small triangle has a base b and a height h.
The area of the small triangle is bh/2.
The large triangle has a perimeter that is 32 times the perimeter of the small triangle. Perimeters are linear measures, so the linear scale factor from the small triangle to the large triangle is 1:32. That means that the base of the large triangle measures 32b, and the height of the large triangle measures 32h.
The area of the large triangle is
base × height / 2 = (32b)(32h)/2 = 512bh
Now we compare the areas of the the large triangle and the small triangle by division.
512bh / (bh/2) = 512 × 2 = 1024
Answer: 1024
Actual distance between two places is 130 miles. The scale of the map is
1 in:100 miles. What is the distance between these two places in the map?
Answer:
1.3 inches
Step-by-step explanation:
1. Determine what you already know in order to set up the equation:
1 inch = 100 miles
x inches = 130 miles
Solving for x
2. Set up the equation so both numerators are the same unit (In this case, both numerators are the mile values and both denominators are the inch values.)
\(\frac{100}{1}\) = \(\frac{130}{x}\)
3. Cross multiply (Multiply the first fraction's numerator by the second fraction's denominator, and vice versa. It doesn't matter which number is on which side of the = sign.)
100x = 130
4. Divide each side by 100 to isolate the variable.
x = 1.3
PLS HELP
Select all of the pairs of expressions that are equivalent.
A c + d + c + d and 2(c + d)
B 4y + 3y - x and -x + 7y
C 2(3n + 4m) and 6n + 4m
D 8p - 5r and 5r - 8p
E 4j + 6k and 2(2j + 3k)
Answer:
A
B
E
Step-by-step explanation:
For A, we can simplify it to 2c + 2d by combining like terms. We can then factor out 2 and get 2(c + d).
For B, we combine like terms and 7y - x. We can move the x in front and get -x + 7y.
For E we can factor out 2 and get 2(2j + 3k).
Hope this helps
Find the value. Give an approximation to four decimal places. log(7.75 x 104) A) 4.0003 B) 4.8893 C) -3.1107 D) 0.8893
The closest approximation to four decimal places of the value of the expression log(7.75 x 104) is 2.9064.
How to find?The given expression is log(7.75 x 104).
Let's simplify this expression: log(7.75 x 104) = log(7.75) + log(104).
Now, calculate the logarithm of 7.75 using a calculator with base 10.
The value of the log of 7.75 is 0.8893 (approx).
Now, calculate the logarithm of 104:log(104) = 2.017 -> approximated to four decimal places.
Using the rules of logarithms, we add the values we obtained above: log(7.75 x 104) = log(7.75) + log(104)
log(7.75 x 104) ≈ 0.8893 + 2.017
= 2.9063
≈ 2.9064.
Therefore, the closest approximation to four decimal places of the value of the expression log(7.75 x 104) is 2.9064 (approx).
Hence, the answer is not among the options given.
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should a test of statistical significance be conducted before or after computing d and interpreting its value?
Yes, a test of statistical significance be conducted before or after computing d and interpreting its value.
The p-value is an important phrase for hypothesis testing in the context of statistical significance of data.
The p-value is defined as a function of observed sample outcomes that is used to evaluate statistical hypotheses. Before running the test, a threshold value must be chosen.
The significance is a figure that represents the probability that the outcome of a study occurred entirely by chance. The statistical significance can be low or high. It does not always imply practical significance. When a researcher does not use language carefully in their experiment report, the significance may be misconstrued.
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Connor is a 400m runner His median time is
Answer: 57.8
Step-by-step explanation:48.7 seconds + 49.3 seconds.= 57.8
(02. 03 MC)
Determine if the two figures are congruent and explain your answer using transformations. ?
To determine if two figures are congruent, we need to assess if they have the same shape and size. This can be done by examining if one figure can be transformed into the other using a combination of translations, rotations, and reflections.
To determine if the two figures are congruent, we need to examine if one can be transformed into the other using transformations. These transformations include translations, rotations, and reflections.
If the two figures can be superimposed by applying these transformations, then they are congruent. This means that corresponding sides and angles of the figures are equal in measure.
On the other hand, if the figures cannot be transformed to perfectly overlap, then they are not congruent. In such cases, there may be differences in the size or shape of the figures.
To provide a conclusive answer about the congruence of the given figures, a visual representation or description of the figures is necessary. Without specific information about the figures, it is not possible to determine their congruence based solely on the question provided.
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The expression 12.50h+b represents the amount of money in her savings account after she deposits her next paycheck. What does b represent in the expression? A. new savings account balance B. number of hours worked C. hourly pay rate D. current savings account balance
Answer:B number of hours worked
Step-by-step explanation:
It says after she puts in her next paycheck therefore she needs to work hours to get paid
I need some help here anyone
PLEASE HELP I REALLY NEED UR HELP
Answer:
10
Step-by-step explanation:
divide 12.5 by 5 to get the ratio of enlargement, then multiply 2 by that ratio to get x
if you have any questions, leave them in the comments and i will try to answer them, if this helped, pls give brainliest
help me please im begging
I need help please as soon as possible
Answer:
a. 86-degrees; angle-2 corresponds to the given angle.
Step-by-step explanation:
Angle 2 is 86 degrees. Whenever a line is bisected by another line, 4 angles are formed. The opposite angles aka the kissing V's have the same angle measurement. Angle 2 and 86-degrees are the kissing V's here, thus they have the same angle measure.
if $x$ is an element of the set $\{ -1, 1, 2 \}$ and $y$ is an element of $\{ -2, -1, 0, 1, 2 \}$, how many distinct values of $x^y$ are positive?
If \($x$\) is an element of the set \($\{ -1, 1, 2 \}$\) and \($y$\) is an element of \($\{ -2, -1, 0, 1, 2 \}$\), the number of distinct values of \($x^y$\) that are positive is 5.
When the base is positive, the exponent produces positive powers.
Now, let's evaluate the power for each possible combination of \($x$\) and \($y$\):
For \($x = -1$\) and \($y$\) being an even number, we get a positive power. Here are the possible even values for \($y$\):
\($y = -2$\) and \($y = 0$\). Therefore, \($x^y$\) is positive for two possible combinations: \($(-1)^{-2} = 1$\) and \($(-1)^{0} = 1$\).
For \($x = 1$\) and any value of \($y$\), the power of \($x$\) is always positive, and the value of \($x$\) is always 1. Therefore, there's only one possible combination: \($1^y = 1$\).
For \($x = 2$\) and \($y$\) being an even number, we get a positive power. Here are the possible even values for \($y$\):
\($y = -2$\) and \($y = 0$\). Therefore, \($x^y$\) is positive for two possible combinations: \($2^{-2} = 1/4$\) and \($2^{0} = 1$\)
For \($x = 2$\) and \($y$\) being an odd number, we get a negative power. Here are the possible odd values for \($y$\):
\($y = -1$\) and \($y = 1$\). Therefore, \($x^y$\) is positive for zero possible combinations.
Therefore, the total number of distinct values of \($x^y$\) that are positive is \($2+1+2 = 5$\).
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Find domain and range
In order to identify the values of the independent variable x and acquire the domain, we simply solve the equation y = f(x).Simply put, x=g(y) will calculate the function's range after we identify g's domain (y).
What are a relationship's domain and range?
The collection of all conceivable independent values that a function or relation may take is known as its domain.It is the compilation of every potential input.The collection of all potential dependent values that a function or relation can generate from its domain values is known as its range. Graphs can be used as another tool for determining the domain and range of functions.The domain of a graph is made up of all the input values displayed on the x-axis since the term "domain" refers to the set of potential input values.The various output values are represented on the y-axis as the range.
Each given relation's scope and domain are as follows:
1. Range: 0.0, 0.5, 1.0,1.5,2.0 Domain: -10,-5,o,5,10
The symbol for a pair of relationship values is (x, y).All x-values make up the domain of a relation.The range includes all y-values.As a result, each relation's domain and range are as follows:
Domain -10,-5,o,5,10
Range 0.0, 0.5, 1.0,1.5,2.0
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PLEASE HELP ME FOR A TEST AND SELECT ALL THAT APPLY!!!!!!! 5 STARS!!!!!!!
Answer: 9-2 & -2-(-9)
Correct me if I'm wrong.
Step-by-step explanation:
question
A cab company charges a $3 flat rate in addition to
$1.50 per mile.
How much would your total cost be if you rode in a
taxi for 10 miles?
Answer:
It would cost $18 to ride the taxi 10 miles.
Answer:
$18.00
Step-by-step explanation:
1.5 times 10 + 3
15 + 3
18
Help ASAP here’s a picture too
Answer:
B
Step-by-step explanation:
Answer:B
Step-by-step explanation:
I have been struggling on this question for awhile please help!
Answer:
UV = 45 in , RS = 114 in
Step-by-step explanation:
A segment joining the midpoints of 2 sides of a triangle ( midsegments ) are half the length of the third side.
UV is a midsegment , then
UV = \(\frac{1}{2}\) RT = \(\frac{1}{2}\) × 90 = 45 in
VW is a midsegment , then
RS = 2 VW = 2 × 57 = 114 in
Harry and Tim both made New Years resolutions. Harry made 5 more resolutions than Tim. Together they made 13 resolutions. How many resolutions did Harry make?
Answer:
Harry made 9 resolutions
Step-by-step explanation:
Okay, so the first thing that we have to do is divide 13 by 2.
Of course, it wouldn't equal so let's just say 6.
So both boys made around 6 resolutions each.
Now we have to take into consideration the 5 more resolutions that Harry made.
What I did to answer this question was I kept taking away Tim's resolutions and giving them to Harry until Harry had 5 more resolutions than Tim.
Finally, my resolution ratio came to 4:9
Tim made 4 resolutions and Harry made 9
In conclusion, Harry made 9 resolutions.
Plz mark me brainliest :)
There are 9 resolutions did Harry make.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Harry and Tim both made New Years resolutions.
Harry made 5 more resolutions than Tim.
And, Together they made 13 resolutions.
Now,
Let number of resolution Tim make = x
Then, Number of resolution Harry make = x + 5
Since, Together they made 13 resolutions.
Hence, We get;
⇒ x + (x + 5) = 13
⇒ 2x = 13 - 5
⇒ 2x = 8
⇒ x = 4
Thus, Number of resolution Harry make = x + 5
= 4 + 5
= 9
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michelle chose a number , doubled it and added it to the original number . The result was 9639. what was the original number michelle chose ?
The displacement of a particle on a vibrating string is given by the equation s(t)=3+ \frac{1}{5} sin (3πt)
where s is measured in centimeters and t in seconds. Find the velocity (in cm/s) of the particle after t seconds.\(\frac{1}{5}\)
Answer:
\(v(t)=\dfrac{3\pi}{5}\cos{(3\pi t)}\)
Step-by-step explanation:
The velocity is the derivative of position.
\(s(t)=3+ \dfrac{1}{5} \sin{(3\pi t)}\\\\v(t)=s'(t)=\dfrac{1}{5}(3\pi)\cos{(3\pi t)}\\\\\boxed{v(t)=\dfrac{3\pi}{5}\cos{(3\pi t)}}\)
Helpppppp. Me outtt I’ll give u a star
Answer:
I am almost certain that it is a function
HELP WILL GIVE BRAINLIEST
Answer:
C
Step-by-step explanation:
Verify, give me brainliest, and rate, and say thank you
Answer:
log ( \(\frac{x^2-2x(x-1)}{(x-1)^2}\) )
Step-by-step explanation:
to find (f ◦ g)(x) , substitute x = g(x) into f(x)
= log ( ( \(\frac{x}{(x-1)^}\) )² - 2(\(\frac{x}{x-1}\) ) )
= log ( \(\frac{x^2}{(x-1)^2}\) - \(\frac{2x}{x-1}\) ) ← express as a single fraction
= log ( \(\frac{x^2-2x(x-1)}{(x-1)^2}\) )
Prove AB is congruent to BC given BE bisects DBC and BE is parallel to AC
AB is congruent to BC given BE bisects DBC and BE is parallel to AC is proved .
What is congruent ?
Congruent refers to having the same shape and size. In mathematics, two objects are said to be congruent if they are identical in shape and size, and can be superimposed onto one another. The symbol used to represent congruence is ≅. Congruence applies to various geometric objects, such as triangles, rectangles, circles, and more. When two objects are congruent, they have all corresponding angles equal and all corresponding sides equal in length.
Step 1: Statement: \($\angle DBE = \angle EBC$\)
Reason: Given that overline BE bisects \($\angle DBC$\)
Step 2: Statement: \($\angle DBC + \angle EBC = 180^\circ$\)
Reason: Angle sum property of a straight line.
Step 3: Statement: \($\angle ABC + \angle EBC = 180^\circ$\)
Reason: Angles on a straight line sum to \(180^\circ$, and $\overline{BE} || \overline{AC}$\) implies that \(\angle ABC$ and $\angle EBC$\) are co-interior angles.
Step 4: Statement: \($\angle ABC = \angle DBC$\)
Reason: From step 2 and step 3, \($\angle ABC + \angle EBC = \angle DBC + \angle EBC = 180^\circ$\). Thus, \($\angle ABC = \angle DBC$\).
Step 5: Statement: \($\triangle ABE \cong \triangle CBE$\)
Reason: By the angle-angle-side congruence criterion, since \($\angle DBE = \angle EBC$\) (from step 1) and \($\angle ABC = \angle DBC$\) (from step 4), and \($\overline{BE}$\) is common to both triangles.
Step 6: Statement: \($AB = BC$\)
Reason: By step 5, \($\triangle ABE \cong \triangle CBE$\), so corresponding sides are congruent, including \($\overline{AB} \cong \overline{BC}$\).
Therefore, AB is congruent to BC given BE bisects DBC and BE is parallel to AC is proved .
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A clockmaker wants to design a clock such that the area swept by each hand (second, minute, and hour) in one minute is the same (all hands move continuously). What is the length of the hour hand divided by the length of the second hand
Let's denote the length of the second hand as "s", the length of the minute hand as "m", and the length of the hour hand as "h".
The area swept by each hand in one minute is proportional to the square of its length. Therefore, we can set up the following equation based on the given condition:
\(s^2 : m^2 : h^2 = 1 : 1 : 1\)
To find the ratio of the length of the hour hand to the length of the second hand, we can express "h" in terms of "s" using the equation above.
Taking the square root of both sides, we have:
s : m : h = 1 : 1 : 1
Since all hands have equal areas swept in one minute, we can conclude that the length of the hour hand divided by the length of the second hand is:
h : s = 1 : 1
Therefore, the length of the hour hand is equal to the length of the second hand in this particular clock design.
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