Answer:
Sin = -5/13
Cos = 12/13
Tan = -5/12
Step-by-step explanation:
Josef has $300 to spend. Which inequality could help him find the maximum number of gifts, x, he could buy if he needs $215 to fix his car and then wants to spend $15 on each gift?
Answer:
x = (300 - 215)/15
Step-by-step explanation:
x, the amount of gifts, is equal to the amount of money left over after he fixes his car, divided by the amount he's willing to spend on each gift.
josef could buy a maximum of 5 gifts! the answer is 5.6 but he can't buy half a gift, nor can he afford 6, so we round down to get 5 gifts :)
Answer:
Josef can buy 5 gifts for 75$
10 = 2j – 4
what does j =
Answer:
j=7
Step-by-step explanation:
10=2j-4 add 4 on both sides
10+4=2j
14=2j divide by 2 on both sides
7=j
Advanced Functions: estimate the slope of the tangent to the graph of the function y= 2x^3 + x^2 + 23 at X= 2How do I estimate the slope of a tangent?
The slope of the tangent to the graph of a function at x=x₀ can be estimated by finding the slope of a line that passes through two points near to x₀.
For instance, evaluate the function f at x₀+h and x₀. The slope will be given by:
\(m=\frac{f(x_0+h)-f(x_0)}{(x_0+h)-(x_0)}=\frac{f(x_0+h)-f(x_0)}{h}\)For small values of h, this slope will approach the slope of the tangent line.
For the given function:
\(f(x)=2x^3+x^2+23\)Use x₀=2 and h=0.01. Then, we must evaluate f at x=2.01 and at x=2:
\(\begin{gathered} f(2)=2(2)^3+(2)^2+23=43 \\ f(2.01)=2(2.01)^3+(2.01)^2+23=43.281302 \end{gathered}\)Then, the slope of the tangent line is approximately:
\(m\approx\frac{f(2.01)-f(2)}{0.01}=\frac{43.281302-43}{0.1}=28.1302\)We can get better approximations by choosing smaller values for h. For instance, if h=0.001, we would get:
\(m\approx\frac{f(2.001)-f(2)}{0.001}=\frac{43.028013-43}{0.001}=28.013\ldots\)Therefore, the slope of the line tangent to the graph of y=2x³+x²+23 is approximately 28.
Certain investments compound interest at different intervals. What effect does the size of the compounding interval have
on the yield of the investment?
a. Investments with smaller compounding intervals have a higher yield, because the interest
earned is reinvested more quickly and thus gains compound interest more quickly.
b. Investments with smaller compounding intervals have a lower yield, because the interest earned
is smaller at each interval.
c. The size of the compounding interval does not affect the total yearly interest percentage rate and
only exists for bookkeeping purposes.
d. Investments with smaller compounding intervals have a lower yield, because the bank charges
a small fee every time interest is compounded.
Answer:
Option A: Investments with smaller compounding intervals have a higher yield, because the interest earned is reinvested more quickly and thus gains compound interest more quickly
Step-by-step explanation:
Compounding could be done monthly, quarterly, semiannually or annually. Compound interest is simply when we add the interest to the principal sum of a loan or amount deposited. It's also referred to as interest which is accrued on interest.
The compound interest that will be earned mainly depends on the frequency of compounding. Now compounding could be done monthly, quarterly, biannually or annually. Now, If we compound monthly, we will have a higher interest return than if we compounded annually.
Thus, looking at the options, the correct one is Option A
Answer:
a
Step-by-step explanation:
What graph would best display the data shown in the frequency table?
A. line plot
B. vertex-edge graph
C. histogram
D. stem-and-leaf graph
Answer:
histogram
Step-by-step explanation:
A builder needs to tile a 7-foot-by-8-foot room with one-foot square tiles. How many tiles will she need?
Answer:
56 square tiles to do the floor
Answer:
Step-by-step explanation:
56 is the correct answer
The measure of an angle is 1°. Find the measure of the complement.
The measure of the complement of a 1-degree angle is 89 degrees.
The complement of an angle is defined as the angle that, when added to the given angle, results in a sum of 90 degrees. To find the measure of the complement of a 1-degree angle, we need to determine the angle that, when added to 1 degree, equals 90 degrees.
Let's denote the measure of the complement as x degrees. According to the definition, we can set up the equation:
1 degree + x degrees = 90 degrees.
To solve for x, we need to isolate it on one side of the equation. By subtracting 1 degree from both sides, we have:
x degrees = 90 degrees - 1 degree.
Simplifying the right side, we get:
x degrees = 89 degrees.
In summary, when an angle measures 1 degree, its complement measures 89 degrees. Complementary angles are pairs of angles that add up to 90 degrees. In this case, since the given angle measures only 1 degree, its complement is significantly larger, nearly forming a right angle. The concept of complementary angles is fundamental in geometry and can be applied to various problems involving angles and their relationships.
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How much should you invest at 2.4 simple interest in Oder to earn $50 interest in 9 months?
By using the method of interest, principle is 2777.7.
What is interest?An expense associated with borrowing money or other assets is interest. The principal is the amount borrowed, and the interest is calculated as a percentage of the principal for a specific period of time. The expense of borrowing money is interest. It equates to a fee or additional charge the borrower pays the lender for the loaned amount, and is sometimes stated as a percentage. When you make a payment on a loan with simple interest, the money first goes toward the interest for that month and the rest is applied to the principal. S.I. = P R T, where P = Principal, R = Rate of Interest in% per annum, and T = Time, typically calculated as the number of years, is the formula used to compute simple interest.
Given that,
S.I= PTR
Simple interest= 50
Time= 9/12= 0.75
Rate of interest= 2.4
Principle amount=?
S.I= PTR
50= P x 0.75 x 2.4
50= P x 1.8
P = 50X1.8
P= 2777.7
Therefore, principle is 2777.7
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How to find derivative of x^5(1- (5/x+8))
Answer:
\(5x^4-\frac{25x^4}{x+8}+\frac{5x^5}{(x+8)^2}\)
Step-by-step explanation:
\(f(x)=x^5\\f'(x)=5x^4\\g(x)=1-\frac{5}{x+8}\\g'(x)=\frac{5}{(x+8)^2}\\\\\frac{d}{dx}f(x)g(x)\\\\=f'(x)g(x)+f(x)g'(x)\\\\=5x^4(1-\frac{5}{x+8})+x^5(\frac{5}{(x+8)^2})\\\\=5x^4-\frac{25x^4}{x+8}+\frac{5x^5}{(x+8)^2}\)
2 = x
3 26
How do i solve this equation
Answer:
do the butterfly method if you don't know how to do that comment and I'll show you a screenshot
what's the inverse of f(x)=(x+3)^5
Answer:
The inverse is,
\(f^{-1}(x) = \sqrt[5]{x} - 3\)
Step-by-step explanation:
f(x) = (x+3)^5
Finding the inverse,
\(f(x) = (x+3)^5\\or,\\y = (x+3)^5\)
We replace x with y and vice versa
so,
\(x = (y+3)^5\)
Solving for y,
the the 5th root,
\(\sqrt[5]{x} = y + 3\\y = \sqrt[5]{x} - 3\)
hence the inverse function is,
\(f^{-1}(x) = \sqrt[5]{x} - 3\)
Step-by-step explanation:
f(x)=(x+3)×5
Y=5X+15
now
interxchanging x and y we get,
x=5y+15
5y=x-15
y=x-15/5
therefor f~1(x)=x-15/5
Graph problem below. Draw and label your graph neatly.slope: -1/42y-intercept= 2
Explanation:
The equation of the line is:
y = mx + b
Where m is the slope and b is the y-intercept. So, replacing m = -1/42 and b = 2, we get:
y = (-1/42)x + 2
Then, to graph the function, we need to indentify two points. So, given the values of x, we can calculate y as follows
If x = 0
y = (-1/42)(0) + 2
y = 0 + 2 = 2
If x = 42
y = (-1/42)(42) + 2
y = -1 + 2 = 1
Therefore, the graph passes through the points (0, 2) and (42, 1).
Answer:
So, the graph is:
Vincent is selling candy bars to raise money for his soccer team. He started with a full box of 20 candy bars and has sold 3/10 of them so far. If each candy bar costs $1.25, how much money has vincent raised?
Answer:
$7.25
Step-by-step explanation:
6*1.25
Answer:
7.50
Step-by-step explanation:
Pls help urgently extra points and mark brainlist easy reading
Answer:
isolated
Step-by-step explanation:
It means private, or isolated
Can someone help me with this.
Answer:
here I put this link its a calculator for volumes and stuff https://www.calculatorsoup.com/calculators/geometry-solids/volume.php
Step-by-step explanation:
hoped this helped
What is the area of the figure?
Answer:
72
Step-by-step explanation:
the rectangle
6×10=60
the triangle = 1/2×6×4
=12
60+12=72
Please help ASAP questions and answer selection in screenshot
The domain of the function consists of all real numbers greater than 0.
What is a domain?A domain can be defined as the set of all real numbers for which a particular function is defined. This ultimately implies that, a domain is the set of all possible input numerical values to a function and the domain of a graph comprises all the input numerical values which are shown on the x-axis.
Next, we would determine the function which models the amount of gas as follows:
Function, f(x) = rate × x
Function, f(x) = 2.25 × x
Function, f(x) = 2.25x
Based on the function above, we can reasonably and logically deduce that the amount of gas cannot be negative. Therefore, the domain of this function is given by:
Domain = [0, ∞]
In conclusion, the domain is equal to all real numbers that are greater than zero (0).
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15√6 cm
12/54 cm
6√24 cm
Answer:
Step-by-step explanation:
15√6
12√54 = 12√(9×6) = 36√6
6√24 = 6√(4×6) = 12√6
15√6 + 36√6 + 12√6 = 63√6
HIIIIIII ILL MARK BRAINLIEST
is this correct?
Answer:
No, it isn't.
Step-by-step explanation:
The point on y = 5 should be on y = 7, and the point on x = 5 should be on x = 7. The attachment shown is what the graph should look like.
In physical education class, Mai takes 10 free throws and 10 jump shots. She earns 1 point for each free throw she makes and 2 points for each jump shot she makes. The greatest number of points that she can earn is 30.
Write an inequality to describe the constraints. Specify what each variable represents.
Answer:
30
Step-by-step explanation:
10 x 1 (for the free throws)= 10
10 x 2 (for the jump shots)= 20
20+10=30
18) In a class of 50 boys 3/5of the boys got marks above 60 in Mathematics. How
many boys got above 60 marks?
Answer:
thx for the points mwah
Step-by-step explanation:
(Geometry/shapes) Hi, can any expert guide me in solving this problem? or someone who knows this?
Trapezoid and Kites. (picture below)
69
Step-by-step explanation:
angles 111 and 3 are the same. in a trapezoid bottom base angles are the same and the top base angles are the same. so in order to find angle 2 you must subtract 111 from 180 because the top angles are supplementary to the bottom
180 - 111 = 69
Answer:
The answer will be 69
This is because angle 3 would also be 111
Angles in a quadrilateral add up to 360
So, 360-(111+111)
=138
there are two angles left, angle 1 ND 2, THEY ARE THE SAME VALUE. So DIVIDE 138 by 2, and you would get your answer 69 degrees.
Hope this helps!!
As part of your research for writing a short and funny story, choose a Dr. Seuss book. Write the title of the book, state that the author is Dr. Seuss, write the name of the publisher, and create a list of the invented words you liked from the book. Also, include the stanza (or verse) that you thought was the funniest.
Then write a funny story using words you have invented. Upload the Dr. Seuss research and the final draft of your story.
Answer:
this is what I put please put it in your own words
Step-by-step explanation:
1. The title: Oh, the Places You'll Go!
2. Author: Dr. Seuss
3. Publisher: RANDOM HOUSE NEW YORK
4. Some invented words used in the book that you particularly like. Lurches, Slumps, Brains.
5. What the funniest stanza (for verse) in the book is, in your opinion. You have brainss in your head
II. Warm-up
butterfly butterflyfling
bridge bridgeamabob
bill billblingflingaling
III. Type a short, funny story using invented words for as many things as you can.
One day I was riding my horse and then I see carrot kids playing in the pasture and I asked to join them and the said yes.
Answer: You can use this whole paragraph if you want. I don't mind c:
Step-by-step explanation:
I. Independent research: Look up any Dr. Seuss book in your library and type the following information.
The title: The Lorax
Author: Dr. Seuss
Publisher: Random House Children's Books
Truffula Seed
“I am the Lorax. I speak for the trees. I speak for the trees for the trees have no tongues.”
II. Warm-up
1. Mouse
2. House
3. Spouse
III. Type a short, funny story using invented words for as many things as you can.
I went to a house in the woods and it was owned by a bird and a lion. They fed me porridge with crackers then put me down to sleep.
(I don't know what else to put but I hope that's good enough.)
I hope this helps you!! <3
Evaluate each of the following limits.
a. lim 8(2 + h) – g(2)
if gt) = VI + 7
h
h→0
How do you solve this?
Answer:
lim = 1/6
Step-by-step explanation:
Apparently, we have ...
\(g(t)=\sqrt{t+7}\)
It often works well to multiply by the conjugate of a difference that approaches zero.
\(\displaystyle\lim_{h\to 0}{\frac{g(2+h)-g(2)}{h}}=\lim_{h\to 0}{\frac{\sqrt{(2+h)+7}-\sqrt{2+7}}{h}}\\\\=\lim_{h\to 0}\frac{(\sqrt{9+h}-\sqrt{9})(\sqrt{9+h}+\sqrt{9})}{h(\sqrt{9+h}+\sqrt{9})}=\lim_{h\to 0}{\frac{(9+h)-9}{h(\sqrt{9+h}+\sqrt{9})}}\\\\=\lim_{h\to0}{\frac{h}{h(\sqrt{9+h}+3)}}=\left.\frac{1}{\sqrt{9+h}+3}\right|_{h=0}=\boxed{\frac{1}{6}}\)
Explain how to find the following from the graph of a function:A: increasing / decreasing intervalsB: domain / rangeC: Y-interceptD: Maximum/Minimum
A.
The functions is increasing on hte inverval if the function values is increasing as the input values increasing within that interval.
Cosider the graph
Which statements are true about the graph of y s 3x + 1 and y 2 -x + 2? Check all that apply.
O The slope of one boundary line is 2.
O Both boundary lines are solid.
A solution to the system is (1, 3).
O Both inequalities are shaded below the boundary lines
O The boundary lines intersect.
===========================================================
Explanation:
Let's go through each of the answer choices to see which are true and which are false.
----------------
Choice A
The general slope intercept form is y = mx+b
m = slope and b = y intercept.
For y = 3x+1, the boundary line of the first inequality, the slope is 3.
For y = -x+2, the slope is -1.
None of the slopes are 2.
Choice A is false.
We'll use the concept of slope again in choice E.
----------------
Choice B
The "or equal to" part of the inequality sign is what directly determines the boundary line being solid. This is because we include points on the boundary.
Choice B is true.
----------------
Choice C
Plug x = 1 and y = 3 into the first inequality
\(y \le 3x+1\\\\3 \le 3(1)+1\\\\3 \le 3+1\\\\3 \le 4\\\\\)
The last inequality is true, so the first inequality is true when (x,y) = (1,3). This makes (1,3) a solution to \(y \le 3x+1\\\\\)
Repeat those steps for the other inequality given to us
\(y \ge -x+2\\\\3 \ge -1+2\\\\3 \ge 1\\\\\)
which is also true, so that makes (1,3) also a solution to \(y \ge -x+2\\\\\)
The point (1,3) is a solution to both inequalities at the same time, making it a solution to the system overall.
Choice C is true
----------------
Choice D
When y is fully isolated, the "less than" inequality indicates the shading is below the boundary. This is due to us considering points of y coordinates smaller than the boundary line. So we'll shade below the boundary for \(y \le 3x+1\\\\\)
We don't do the same for \(y \ge -x+2\\\\\). Instead, we'll shade above the solid boundary line.
Choice D is false.
----------------
Choice E
If two lines have equal slopes, but different y intercepts, then we have parallel lines. Parallel lines never intersect.
If on the other hand, the slopes are different values, then the two lines will intersect somewhere on the xy grid. There will only be exactly one point of intersection.
The given system has boundary lines of slopes 3 and -1, for the first and second inequality respectively. Refer back to choice A. These differing slopes tell us that the boundary lines intersect somewhere.
Choice E is true
Let's go through all the options one at a time and look for the correct ones
Option 1: The slope of one boundary line is 2
We have 2 equations of lines, where the coefficients of are 3 and -1 respectively
because the coefficient of x denotes the slope of a line, we know that the lines have the slope 3 and -1, not 2
Hence, this option is Incorrect
Option 2: Both boundary lines are solid
In order for the boundary lines to be solid, the inequality must have an 'equal to', like ≤ (less than or equal to) or ≥ (greater than or equal to)
we can see that that's the case in our case and hence, this option is Correct
Option 3: A solution to the system is (1, 3)
To confirm this, we'll plug these coordinates into the given inequalities and see if it stands correct
y ≤ 3x + 1
3 ≤ 3(1) + 1
3 ≤ 4 which is correct because 3 is less than 4
Second equation:
y ≥ 2 - x
3 ≥ 2 - 1
3 ≥ 1
Which is also true because 3 is greater than 1
Now, we can say that (1 , 3) is a solution to the system because it satisfies both the equations and is Correct
Option 4: Both inequalities are shaded below the boundary lines
For an inequality to be shaded below the boundary line, it must have the ≤ inequality (in case of solid line) and < inequality (in case of dotted line)
because the second inequality listed includes the ≥ inequality, which was not mentioned above, it won't be shaded below
another way to think about it is that any 'greater than' inequality will shade everything above the line and the 'lesser than' inequality will shade below the line
which means that this option is Incorrect
Option 5: The boundary lines intersect
In order for the boundary lines to intersect, they must have have different slopes.
as we mentioned in the explanation of the first option, that the slopes of the lines is 3 and -1, which are different slopes
Therefore, this option is Correct
Question 9 of 25
Simplify (b^4)^3 .
ОА. b^9
ОВ. b
Ос. b^3
OD. b^12
pls help me! ty
Answer:
D
Step-by-step explanation:
Just apply the rules for exponents. I hope it helps.
Suppose the prices of a certain model of new homes are normally distributed with a mean of 150,000. Use the 68-95-99.7 rule to find the percentage of buyers who paid between $149,000 and $151,000 if the standard deviation is $1000
The percentage of buyers is approximately 68.26% of buyers of new houses paid between \($149,000\) and \($151,000\) .
We are given that the prices of the new homes are normally distributed with a mean of \($150,000\) and a standard deviation of $1000.
Using the 68-95-99.7 rule, we know that: approximately 68% of the data falls within one standard deviation of the mean approximately 95% of the data falls within two standard deviations of the mean, approximately 99.7% of the data falls within three standard deviations of the mean.
In order to determine the proportion of customers who spent between $149,000 and , we must first determine the z-scores for these values:
z1 = (149,000 - 150,000) / 1000 = -1 z2 = (151,000 - 150,000) / 1000 = 1
Now, we can determine the proportion of data that falls between z1 and z2 using the z-table or a calculator. The region to the left of z1 is 0.1587, and the area to the left of z2 is 0.8413, according to the z-table. Thus, the region bounded by z1 and z2 is:
0.8413 - 0.1587 = 0.6826
We can get the percentage of consumers who spent between by multiplying this by 100% is \($149,000\) and \($151,000\):
0.6826 x 100% = 68.26%
Therefore, the standard deviation of customers who paid between is \($149,000\) and \($151,000\) for this model of new homes.
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Please Help!
find the value of x
round to the nearest tenth as needed
Answer:
237.9 yards
Step-by-step explanation:
90-23=67
cos 67⁰=x/610
x=610 cos 67
x= 610 x 0.39
x=237.9 yards
Choose the phrases below that will make the sentence true.
In the figure, the length of any line segment in the image is _________________ the length of the corresponding line segment in the preimage. The scale factor of the dilation is _________.
A
shorter than; 2
B
longer than; 2
C
longer than; 1
D
the same length as; 2
In the figure, the length of any line segment in the image is longer the length of the corresponding line segment in the preimage. The scale factor of the dilation is 2
What is the scale factor of dilation?The scale factor of dilation is defined as the change in size of a figure. Thus, a scale factor that is greater than 1 is referred to as an enlargement while a scale factor that is greater than 0 but less than 1 is referred to as a reduction.
Now, we are told that ΔABC has been dilated from center D to form ΔRST, This means that the lengths in ΔRST are longer than the lengths in ΔABC.
Secondly, by close inspection we can see that it was dilated by a scale factor of 2.
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