The number of each type of coin that Joan has are; 16 dimes and 3 quarters
How to convert currencies?
We are told that Joan has a total of 19 coins.
Now, the worth of the coins is $2.35
Let dimes be d and let quarters be q. Thus;
10d + 25q = 235
d + q = 19
Substitute d = 19 - q in the 1st equation to get;
10(19 - q) + 25q = 235
190 - 10q + 25q = 235
15q = 45
q = 45/15
q = 3
Thus;
d = 19 - 3
d = 16
Read more about Currency Conversion at; https://brainly.com/question/1306721
#SPJ1
S 2. Let f(x) = x - k√x
a. Find a value of k such that the function has a critical point at x = 25.
b. Is the above critical point a local maximum, local minimum or neither? Show calculus to support your answer.
a. A critical point at x = 25 would mean f'(25) = 0 or doesn't exist. We have derivative
[tex]f(x) = x - k \sqrt x \implies f'(x) = 1 - \dfrac k{2\sqrt x}[/tex]
so that
[tex]f'(25) = 1 - \dfrac k{2\sqrt{25}} = 1 - \dfrac k{10} = 0 \implies \boxed{k=10}[/tex]
b. Taking the second derivative, we get
[tex]f''(x) = \dfrac k{4 x^{3/2}} = \dfrac5{2 x^{3/2}}[/tex]
At x = 25, the second derivative has a positive sign,
[tex]f''(25) = \dfrac 5{2 \times 25^{3/2}} = \dfrac 5{2\times5^3} = \dfrac1{50} > 0[/tex]
which means f(x) is concave upward around x = 25, so this critical point is a local minimum.
If you horizontally shift the square root parent function, F(x)=√x, right eight
units, what is the equation of the new function?
O A. G(x) = vx +8
OB. G(x)=√x-8
OC. G(x)=√x - 8
OD. G(x) = √√x+8
The function g(x) = √(x - 8) represents a horizontal shift of the square root parent function f(x) = √x, to the right by eight units. Option B.
To horizontally shift the square root parent function, f(x) = √x, right eight units, we need to replace x with (x - 8) in the function. This shift will move the entire graph eight units to the right.
So, the equation of the new function, let's call it g(x), will be:
g(x) = √(x - 8)
Therefore, the correct choice is g(x) = √(x - 8).
This means that for any given value of x, we substitute (x - 8) in the original square root function. The effect of this shift is that all x-values on the graph of g(x) will be eight units greater than their corresponding x-values on the graph of f(x).
For example, if we consider the point (8, 2) on the graph of f(x), after the horizontal shift, it will be located at (16, 2) on the graph of g(x). Similarly, the point (0, 0) on the graph of f(x) will shift to (8, 0) on the graph of g(x).
The function g(x) = √(x - 8) represents a horizontal shift of the square root parent function f(x) = √x, to the right by eight units. This transformation allows us to analyze and understand how the graph of the square root function is affected by horizontal shifts. SO Option B is correct.
For more question on function visit:
https://brainly.com/question/11624077
#SPJ8
if u=6i-2j and v=-3i+7j, find u-v
[tex]\begin{cases} u=6i-2j\\\\ v=-3i+7j \end{cases}\qquad \begin{cases} < 6~~,~~-2 > \\\\ < -3~~,~~7 > \end{cases} \\\\[-0.35em] ~\dotfill\\\\ u-v\implies < 6~~,~~-2 > ~~ - ~~ < -3~~,~~7 > \\\\\\ < 6-(-3)~~,~~-2-7 > \implies < 6+3,-9 > \implies < 9,-9 > \implies 9i-9j[/tex]
Sammi has $125.75 in her savings account. She deposits $25.50 into the account each month for the next 6 months.
How much is in Sammi's account at the end of the 6 months?
Enter Your answer into the box
Answer:
i think the answer is 278.75
find the sum. 1-2+3-4+5-6+7-8...99-100
Answer:
-50
Step-by-step explanation:
1 - 2 + 3 - 4 + 5 - 6 + 7 - 8...99 - 100
just means,
1 - 2 = -1
3 - 4 = -1
5 - 6 = - 1
7 - 8 = - 1
99 - 100 = -1
basically, -1 + -1 + -1 + -1 + ....+ -1 or -1 - 1 - 1 - 1 - ... - 1
[tex](-1)^{n}[/tex]
Treating Grandi's series as a divergent geometric series we may use the same algebraic methods that evaluate convergent geometric series to obtain a third value:
S = 1 − 1 − 1 + ..., so
1 − S = 1 − (1 − 1 − 1 ...) = 1 − 1 − 1 ... = S
1 - S = S
1 = 2*S
resulting in S = 1/2. The same conclusion results from calculating −S, subtracting the result from S, and solving 2S = 1
1/2 of the last term is 100 x 1/2 = 50
This because you are using 2 numbers per -1
example: 1 - 2 = -1 or 3 - 4 = -1 resulting in 50 of the -1 being subtracted
What is the measure of ø?
5 cm
20cm
Ø
Answer:
4 radians
Step-by-step explanation:
[tex]s = \theta r[/tex]
[tex]20 = 5 \theta[/tex]
[tex] \theta = 4[/tex]
what is 232 + 88+ 61 =
Answer:
381
Step-by-step explanation:
232 + 88 = 320
320 + 61 = 381
Hope this helped and brainliest please
I need the answer please
The graphed cosine function can either be:
cos(x + pi) or cos(x - pi).
Which is the equation of the graphed function?
We know that this function is a cosine function with a phase shift, so the general form is:
f(x) = cos(x + P).
Where P is the phase shift.
In the graph we can see that when x = 0, f(0) = -1
And we know that cos(pi) = -1 = cos(-pi)
Then we must have that:
f(0) = cos(P) = -1
By what we wrote above, we know that P can be either -pi or pi (because of the parity of the cosine). Let's say that P = pi, then the cosine function is:
f(x) = cos(x + pi).
If you want to learn more about cosine functions:
https://brainly.com/question/8120556
#SPJ1
Jasmine played in a basketball tournament. The ratio of the number of baskets she missed during the tournament to the number of baskets she made is 3:8. If Jasmine missed 9 baskets during the tournament, how many baskets did she make? Draw a diagram to demonstrate how you found your answer.
A ratio shows us the number of times a number contains another number. The number of baskets Jasmine made is 24.
What is a Ratio?A ratio shows us the number of times a number contains another number.
The ratio of the number of baskets she missed during the tournament to the number of baskets she made is 3:8. Therefore, we can write,
(Number of baskets Missed)/ (Number of baskets made) = 3/8
If Jasmine missed 9 baskets during the tournament, then the ratio can be rewritten as,
(Number of baskets Missed)/ (Number of baskets made) = 3/8
9 / (Number of baskets made) = 3/8
(9×8)/3 = (Number of baskets made)
Number of baskets made = 24 baskets
Hence, the number of baskets Jasmine made is 24.
Learn more about Ratios:
https://brainly.com/question/1504221
#SPJ1
Use a graphing calculator to approximate the vertex of the graph of the parabola defined by the following
equation.ñ
y = 2x^2 -x + 6
Answer:
(1/4, 5 7/8)
Step-by-step explanation:
The vertex is the extreme point of the graph. Here, it is a minimum.
For this quadratic function, a graphing calculator can tell you exactly what the vertex is. (No approximation is required.)
__
The graphing calculator in the attachment shows the vertex is ...
(0.25, 5.875) = (1/4, 5 7/8)
Find the area of a regular polygon with 5 sides that has a side length of 6 inches and an apothem of 9 inches.
Area = [?]in2
Answer:
see the attachment photo!
Answer: The correct answer is 135 in².
Step-by-step explanation: An area of a polygon is this:
Area = (number of sides × length of one side × apothem)/2
(5 x 6 x 9) / 2 = 135
the lenghts of five boxes are shown in the table which line plot shows the data from the table
Answer:
The bottom right line plot.
Step-by-step explanation:
In the table, 9 1/4 shows up twice. This can be represented in the line plot by putting 2 x's over the 9 1/4 point.
The scale factor between two similar figures is given. The surface area and volume of the smaller figure are given. Find the surface area and volume of the larger figure.
scale factor = 2:7
SA= 8 cm²
V = 128 cm³
A) SA=98 cm², V = 5488 cm³
B) SA= 686 cm², V = 5488 cm³
C) SA= 98 cm², V = 686 cm³
D) SA=98 cm², V = 784 cm³
E) SA 14 cm². V = 112 cm³
What is the quotient of 552/58
The quotient of 552/58 is 276/29.
What is the quotient of a number?The quotient of a number is the result or the outcome when you divide two numbers together.
From the given information, the quotient of [tex]\mathbf{\dfrac{552}{58}}[/tex] is can be determined by dividing both the numerator and the denominator by (2):
i.e.
[tex]\mathbf{=\dfrac{276}{29}}[/tex]
Learn more about the quotient of 552/58 here:
https://brainly.com/question/11418015
#SPJ1
NO LINKS!!!
Basics of Transformations
Students were asked to create true statements about transformations. Circle the names of the students who correctly completed the task. Then, unscramble the underlined letters of the circled names to answer riddle of the bottom.
Answer:
The 6 names to circle are:
LavernaAlfonsoAutumnIgnacioKathyrnLawrenceThe underlined letters from those circled names are:
RNONTUGRNWRThe letters form the phrase [tex]\underline{\text{WR}}\ \underline{\text{ON}} \ \underline{\text{G}} \ \ \ \ \ \ \underline{\text{TU}} \ \underline{\text{RN}}[/tex] or "wrong turn". The spacing is done like that in the first version to show the various subgroups of letters.
Unfortunately the mentioned riddle at the bottom is cut off, so I don't know what the riddle is.
======================================================
Explanation:
Laverna is correct because a translation is applied. "Translation" in geometry settings means "shifting up/down/left/right". In this case, triangle JKL is shifted 5 units right and 3 units up.Alfonso is correct. If a figure is labeled ABCD going in clockwise orientation, then a translation will preserve said orientation. The orientation only flips when a reflection occurs.Autumn is correct. Why? Because reflections are isometries, meaning they preserve distances and lengths and angles. In other words, the two triangles are twin clones of each other.Willa is not correct. The prime notations go on the image and NOT the preimage. In other words, the prime notations go for the "after" and not the "before". Example: triangle JKL in Laverna's diagram is the preimage, while J'K'L' is the image. JKL is "before", and J'K'L' is "after".Ignacio is correct. The figure enlarges or shrinks (depending on the scale factor if its larger than 1, or smaller than 1). The orientation stays the same. Refer to Alfonso's scenario where I mentioned the orientation flipping only when a reflection happens.Napoleon is incorrect. A reflection ALWAYS changes the orientation. Consider a triangle ABC where the motions from A to B to C goes clockwise. A reflection will flip the orientation to make A to B to C go counterclockwise. Example: Reflections over non-horizontal lines swap the positions of left vs right, which is another way to see why the orientation swaps as well.Kathyrn is correct assuming no reflection operations are done.Titus is not correct. A rotation is not the same as a reflection. Though I should point out that two reflections simplify to a rotation. The mirror lines must intersect in some way. Parallel mirror lines will have two reflections lead to a translation.Lawrence is correct. The order P,Q,R is clockwise, and so is the order P', Q', R'. A rotation preserves orientation. In this case, a 180 degree rotation has been done. The rule for that is any (x,y) point turns into (-x,-y).Here's a summary table:
[tex]\begin{array}{|c|c|} \cline{1-2}\text{Student} & \text{Are They Correct?}\\\cline{1-2}\text{Laverna} & \textbf{Yes}\\\cline{1-2}\text{Alfonso} & \textbf{Yes}\\\cline{1-2}\text{Autumn} & \textbf{Yes}\\\cline{1-2}\text{Willa} & \text{No}\\\cline{1-2}\text{Ignacio} & \textbf{Yes}\\\cline{1-2}\text{Napoleon} & \text{No}\\\cline{1-2}\text{Kathyrn} & \textbf{Yes}\\\cline{1-2}\text{Titus} & \text{No}\\\cline{1-2}\text{Lawrence} & \textbf{Yes}\\\cline{1-2}\end{array}[/tex]
Put another way, here are the people to circle (i.e. the people who made true statements):
LavernaAlfonsoAutumnIgnacioKathyrnLawrenceIn the order presented above, the letters underlined are:
RNONTUGRNWRThrough a bit of trial and error, the letters make the phrase of:
[tex]\underline{\text{WR}}\ \underline{\text{ON}} \ \underline{\text{G}} \ \ \ \ \ \ \underline{\text{TU}} \ \underline{\text{RN}}[/tex]
I'm not sure what to do with the extra "RN". It might be a typo, or it might be the case your teacher wants you to ignore repeats like this.
Which of the following statements describe this sequence: 3, 6, 9, 12...?
I. This is an arithmetic sequence.
II. The expression used to find the nth term would be 3n.
III. The next term in the sequence is 36.
IV. The common ratio for this sequence is 3.
O I, II, III, and IV
O I, II, and IV
II and IV
I and II
The sequence is an arithmetic sequence and the expression used to find the nth term would be 3n option fourth I and II is correct.
What is a sequence?It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.
We have a sequence:
3, 6, 9, 12…
First term a = 3
Common difference d = 6 - 3 = 3
This is an arithmetic sequence.
nth term of the arithmetic sequence:
a(n) = 3 + (n-1)(3)
a(n) = 3n
Plug n = 5
a(5) = 3(5) = 15
Thus, the sequence is an arithmetic sequence and the expression used to find the nth term would be 3n option fourth I and II is correct.
Learn more about the sequence here:
brainly.com/question/21961097
#SPJ1
Find the volume of the figure. Round your answer to the nearest tenth if necessary. Use 3.14 for T.
A cylinder has a radius of 7 meters and a height of 3 meters.
The volume of the cylinder is approximately
m³.
Answer:
[tex]\boxed{ \rm \: Volume_{(Cylinder)} \approx \: 461.6 \: {m}^{3} } \rm (rounded \: to \: nearest \: tenth)[/tex]
Step-by-step explanation:
Given dimensions:
Radius of the cylinder = 7 metresHeight of the cylinder = 3 metresGiven value of π :
π = 3.14To find:
The Volume of the cylinderSolution:
Here, we'll need to use the formulae of the volume of cylinder,to find it's volume.Its actually like a savior while solving these type of questions.
[tex] \pink{\star}\boxed{\rm \: Volume_{(Cylinder)} = \pi{r} {}^{2} h}\pink{\star}[/tex]
where,
π = 3.14r² = (radius)²h = heightPlug/substitute them onto the formulae,then simplify it using PEMDAS.
[We'll substitute the value of π later][tex] \rm \: Volume_{(Cylinder)} = \pi(7) {}^{2} \times 3[/tex]
[tex] \rm \: Volume_{(Cylinder)} = \pi(49)(3)[/tex]
[tex] \rm \: Volume_{(Cylinder)} = 147\pi \: [/tex]
Now substitute the value of π.[tex] \rm \: Volume_{(Cylinder)} = 147 \times 3.14[/tex]
[tex] \rm \: Volume_{(Cylinder)} = 461.58 \: {m}^{3} [/tex]
[tex] \boxed{\rm \: Volume_{(Cylinder)} \approx \: 461.6 \: {m}^{3}} \rm (rounded \: to \: nearest \: tenth) \: [/tex]
Hence, we can conclude that:
The volume of the cylinder is approximately
461.6 m³.
[tex] \rule{225pt}{2pt}[/tex]
Enter the correct answer in the box. Write the sum of 12√23x13 + 14√23x13 in simplest form, if x > 0.
Answer:
26x^6 sqrt 23x
Step-by-step explanation:
Given the side measurements. classify the triangle as acute, right, obtuse, or not a triangle. 11, 4, 16
Answer: not a triangle
Step-by-step explanation:
If this were to be a triangle, the shorter sides would be 11 and 4 and the longest side would be 16.
First, we should determine if it is a triangle.
Sum of shorter sides = 15 This is less than the longest side, 16, so therefore, it is not a triangle.
If you draw a card out of a deck of cards at random, what is the probability
that you will draw a 6?
Answer:
[tex]\frac{1}{13}[/tex]
Step-by-step explanation:
Probability is the number of favorable outcomes divided by the number of total outcomes. The total outcomes are all the situations that could possibly happen. There are 52 cards in the deck, so there are 52 total outcomes. Next, the favorable outcomes are the outcomes we want. In this case it is drawing a 6. There are four 6's in a deck of cards: 6 of hearts, 6 of spades, 6 of diamonds, and 6 of clubs. This means there are 4 favorable outcomes.
We can write the probability as a fraction: [tex]\frac{favorable-outcomes}{total-outcomes}[/tex], so we can get [tex]\frac{4}{52}[/tex]. Since both 4 and 52 are divisible by 4, the fraction can be simplified to [tex]\frac{1}{13}[/tex].
Answer:
1/13
Step-by-step explanation:
that's the answer to the question
3 yards 5 feet 6 inches x 7=
Answer:
1218 inches
Step-by-step explanation:
First, let's make our numbers equivalent to a certain unit. Preferably inches, since we can't turn inches into yards or feet, but we can turn yards and feet into inches.
3 yards is 9 feet, which when multiplied by 12 (12 inches in a foot) is 108.
5 feet times 12 is 60 inches.
6 inches is 6 inches.
108+60+6 is 174
Multiply all that by 7 and you get your answer of 1218 inches.
Hope this helps!
need help finding y-intercept and the x-intercept
Answer:
y-intercept = 1, x-intercept= -1/4
Step-by-step explanation:
Default equation of line:
y = mx+c , where m is the slope and c is the y-intercept.
So first we will find the slope from the values given in the table.
slope of line [tex]\frac{y1-y2}{x1-x2}\\= \frac{9-5}{2-1} \\= \frac{4}{1}\\ =4[/tex]
So take 1 random value of x and y from the table,
x =1 , y=5
5 = 4(1)+c
c = 5-4 = 1
so equation of line is y = 4x+1
and y intercept = 1
x intercept is the value of x when y = 0.
so given
y = 4x+1
0 = 4x+1
4x = -1
x = [tex]-\frac{1}{4}[/tex]
therefore x intercept = -1/4
Find the length of side b below using Law of Sines. Give the exact value as an expression and an approximation to the nearest tenth.
Answer:
b ≈ 7.8
Step-by-step explanation:
using the law of sines
∠ A = 180° - 105° - 40° = 180° - 145° = 35° , then
[tex]\frac{b}{sin40}[/tex] = [tex]\frac{7}{sin35}[/tex] ( cross- multiply )
b × sin35° = 7 × sin40° ( divide both sides by sin35° )
b = [tex]\frac{7sin40}{sin35}[/tex] ≈ 7.8 ( to the nearest tenth )
How do we calculate=
x+5/x + x+8/x-1= ?
Answer:
⇒8(x−1)=5x
⇒8x−x=5x
⇒8x−5x=8
⇒3x=8
⇒x=
3
8
What is The converse of p→q
Answer:
q→p
Step-by-step explanation:
The converse of p→q is q→p.
which means If q ,then p.
A new computer loses 1/2 of its value every year. Which graph could represent the relationship between the year and the computer’s value?
SOMEONE HELP PLS, YOU’LL GET FREE EASY POINTS IF THE ANSWER IS RIGHT!!!!
Let's first consider: the fact that a new computer loses 1/2 of its value
⇒ third choice and fourth choice are eliminated
⇒ because of the graph project the computer's value as growing over
years
Now let's try to set up an equation:
After 1st year ⇒ Computer's value = [tex]total_.value*\frac{1}{2}[/tex]
After 2nd year ⇒ Computer's value = [tex]total_.value*\frac{1}{2}*\frac{1}{2}=total_.value*(\frac{1}{2} )^2[/tex]
After 3rd year ⇒ Computer's value =[tex]total_.value*\frac{1}{2}*\frac{1}{2}* \frac{1}{2}=total_.value*(\frac{1}{2})^3[/tex]
..... (Hopefully you see a pattern)
After x year ⇒ Computer's value = [tex]total_.value*(\frac{1}{2})^x[/tex]
Therefore, the equation is: [tex]total_.value*(\frac{1}{2})^x[/tex]
⇒that means the graph has to exponentially decreasing as it has
an exponent (meaning the function is exponential) and a base less
than 1 (meaning that the function is decreasing)
Answer: Choice (1)
Hope that helps!
Answer:
A
Step-by-step explanation:
After x year, computer's value will be (1/2)^x
So the graph has to exponentially decreasing.
Both A and B show decreasing value but B is linear. So B is incorrect
C and D show increasing value so they are both incorrect.
which properties justify the steps taken to solve the system?
{2x-4y=-6
{3x+2y=-1
drag and drop the answers into the boxes to match each step
Answers
Addition property of equality
division property of equality
multiplication property of equality
associative property of equality
subtraction property of equality
simplify
substitution property of equality
Answer:
X=-1
Y=1
Step-by-step explanation:
6x-12y
-18
) 6x + 4y
-
-2
Subtract the two equations
6x - 12y - (6x + 4y) = -18 - (-2)
Determine the sign
6x- 12y - 6x- 4y
=-18 + 2
Simplify
-12y
- Ay
=-18 + 2
Solve the equation
Substitute
6×+4
-2
Solve the equation
X=
simplify 1/x-10 / 9x/x2-9x-10
The simplified expression is [tex]\frac{-1}{9x} -9x - 10[/tex].
What is algebraic expression?An algebraic expression in mathematics is an expression which is made up of variables and constants, along with algebraic operations (addition, subtraction, etc.).
Here, the given expression
[tex]\frac{1}{x}+\frac{-10x/9}{x^2}-9x-10[/tex]
[tex]\frac{1}{x}+\frac{-10}{9x}-9x-10[/tex]
[tex]\frac{9-10}{9x} -9x -10[/tex]
[tex]\frac{-1}{9x} -9x - 10[/tex]
Thus, the simplified expression is [tex]\frac{-1}{9x} -9x - 10[/tex].
Learn more about Algebraic expression from:
https://brainly.com/question/19245500
#SPJ1
Discuss the refusal of some individuals to answer questions by authorized Stats SA officials ?
Answer:
I think the letter B is a good idea for me to do the same as oneroure and I have a module that I can use to make sure that I have the right to use the periodic table to find the element name and its symbol then calculate the total amount of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between the rows of the main crop between thank you
How do you know that △STU is similar to △PQR? Complete the sentence to explain your answer.
PLEASEE I NEED HELP!! PLEASE HURRY
△STU is mapped to △PQR with center of dilation (-1.5, -1.5) and a scale factor of 2 and reflected about the x-axis.
How to interpret Dilation of Triangles?
From the given graph, we can see that;
SU is 1.5 units and the corresponding side of the dilated figure is 3 units. Thus, the scale factor of dilation is; 3/1.5 = 2
Now, we can see clearly that it is reflected about the x-axis as the x-values remain negative in △STU while the y-values are now positive in △PQR.
Lastly, we can see the dilation was with center (-1.5, -1.5)
Read more about Dilation at; https://brainly.com/question/3457976
#SPJ1