30 points to who answers this first and will get brainliest answer
In which quadrant of the coordinate graph does point J lie?
A. Quadrant I
B. Quadrant II
C. Quadrant III
D. Quadrant IV
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Related Questions
One number is four times another. the greater number is xx. write an expression for the lesser number.
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Is is true that the coefficient of the expression 18z-7(-3+2z) of z is 13
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= 18z + 21 - 14z
= 4z + 21
answer is False
coefficient of z is 4, not 13
find the root of 6x-48=0
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(6)(-48)=0
set to zero
x-8=0
add 8 to both sides
x=8
the root is at x-8
X=8
Alexander deposited money into his retirement account that is compounded annually at an interest rate of 7%.
Alexander thought the equivalent quarterly interest rate would be 2%. Is Alexander correct? If he is, explain
why. If he is not correct, state what the equivalent quarterly interest rate is and show how you got your
answer. i need to show my work and everything
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For the annually rate we have that:
[tex] V_{0} =(1+ i_{a} ) ^{1} [/tex]
Where
[tex] V_{0}[/tex] = initial investment.
[tex] i_{a} [/tex] = annually interest rate in decimal form.
And the exponent (1) represents the full year.
For the quarterly interest rate we have that:
[tex] V_{0} =(1+ i_{q} ) ^{4} [/tex]
Where
[tex] V_{0}[/tex] = initial investment.
[tex] i_{q}[/tex] = quarterly interest rate in decimal form.
And the exponent (4) the 4 quarters in the full year.
Since the rates are equivalent if tow initial investments over a the same time, produce the same final value, then
[tex](1+ i_{a} )=(1+ i_{q} ) ^{4} [/tex]
Notice that we are not using the initial investment [tex] V_{0} [/tex] since they are the same.
The first thin we are going to to calculate the equivalent quarterly rate of the 7% annually rate is converting 7% to decimal form
7%/100 = 0.07
Now, we can replace the value in our equation to get:
[tex](1+0.07)=(1+ i_{q} ) ^{4} [/tex]
[tex]1.07=(1+ i_{q} ) ^{4} [/tex]
[tex] \sqrt[4]{1.07} =1+ i_{q} [/tex]
[tex] i_{q} = \sqrt[4]{1.07} -1[/tex]
[tex] i_{q} =0.017[/tex]
Finally, we multiply the quarterly interest rate in decimal form by 100% to get:
(0.017)(100%) = 1.7%
We can conclude that Alexander is wrong, the equivalent quarterly rate of an annually rate of 7% is 1.7% and not 2%.
Please help! I need to show my work
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Notice that sides AB and CD are horizontal, so they are parallel with different lengths.
Sides BC and Ad are not parallel.
A quadrilateral with two parallel sides and two non-parallel sides is a trapezoid.
which exponential functions have been simplified correctly check all that apply
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Answer:
Option A, C, D, are the correct options.
Step-by-step explanation:
To check the exponential functions which have been simplified correctly we will take option one by one.
A). [tex]f(x)=5(\sqrt[3]{16})^{x}=5(\sqrt[3]{2^{4}})^{x}=5(2\sqrt[3]{2})^{x}[/tex]
B). [tex]f(x)=2.3(8^{\frac{1}{2}})^{x}=2.3(2.\sqrt{2})^{x}\neq 2.3(4^{x})[/tex]
C). [tex]f(x)=81^{\frac{x}{4}}=(3^{4})^{\frac{x}{4}}=(3^{\frac{4}{4}})^{x}=3^{x}[/tex]
D). [tex]f(x)=\frac{3}{4}(\sqrt{27})^{x}=\frac{3}{4}(\sqrt{3^{3}})^{x}=\frac{3}{4}.(3\sqrt{3})^{x}[/tex]
[tex]f(x)=(24)^{\frac{1}{3}x}=(2^{3}.3)^{\frac{1}{3}x}=(2.3^{\frac{1}{3}})^{x}\neq 2(\sqrt[3]{3})^{x}[/tex]
Exponential functions and their inverses like the natural logarithm are inverse functions, meaning they can undo each other. Simplifications like ln(e^x) result in x, and e^(ln x) simplifies to x. This property is integral to correctly simplifying exponential functions.
Explanation:The exponential functions and their inverses, like the natural logarithm (ln), have specific properties where they can "undo" each other. This relationship allows us to simplify expressions involving exponentials and logarithms. For example, when you have ln(ex), this simplifies to x because the natural logarithm and the exponential function are inverse functions.
Similarly, when applying the exponential function to a natural logarithm, like eln(x), the result is just x. Furthermore, when taking square roots of exponentials, you can adjust the exponent to be evenly divisible by 2 and then take the square root of the base number, followed by dividing the exponent by 2. Also, while dividing exponentials, you subtract the exponents when the bases are the same.
Here is an example of this simplification: to compute the square root of e4, we can write it as e4/2, which simplifies to e2.
Write the polynomial in factored form. 4x3 + 8x2 – 96x
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Explanation:
4x^3, 8x^2 and 96x have 4x as a common factor. Hence
4x^3+8x^2-96x = 4x*(x^2+2x-24)
Furthermore, (x^2+2x-24)= (x-4)(x+6)
because 6-4=2 and 6*(-4) = -24.
So 4x^3+8x^2-96x = 4x*(x^2+2x-24) = 4x(x-4)(x+6).
How many permutations are there of jack, queen, king, ace
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Is 9.103 greater than 9.13
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Answer:
false 9.13 is greater
Step-by-step explanation:
103 thousanths are smaller then 13 hundreths
with decimals the farther you go the lower you get bc its half a number
1/2 to 1/4 to 1/8 it gets smaller
Mark had $19.00 to spend on stamp packets. They sell for $1.78 each. How many packets can he buy?
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That equals 10.67
so you can by 10 stamps.
Answer:
[tex]10\ stamp\ packets[/tex]
Step-by-step explanation:
Let
x-----> the number of packets that mark can buy
we know that
[tex]1.78x\leq 19[/tex] -----> inequality that represent the situation
Solve for x
Divide by [tex]1.78[/tex] both sides
[tex]x\leq 19/1.78[/tex]
[tex]x\leq 10.67\ stamp\ packets[/tex]
If 6 1/2is the lesser number in an inequality, which statement is true about the other number in the inequality?
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I KNOW ITS NOT A. But i think it is B. HOPE THIS HELPS!
Mrs. simms told her class to find two consecutive even integers such that twice the lesser of two integers is 4 less than two times the greater integer.
a. write and solve an equation to find the integers.
b. does the equation have one solution, no solutions, or is it an identity? explain.
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Final answer:
To find two consecutive even integers, we can set up and solve an equation. The equation in this case is an identity, meaning it is true for all values of x. Therefore, there are infinitely many solutions.
Explanation:
To find two consecutive even integers, let's represent the first integer as x and the second integer as x + 2. Now, according to the given information, twice the lesser of the two integers is 4 less than two times the greater integer. We can write this as:
2x = 2(x + 2) - 4
Simplifying the equation:
2x = 2x + 4 - 4
2x = 2x
This equation is an identity, meaning it is true for all values of x. Therefore, there are infinitely many solutions. In this case, there are infinitely many pairs of consecutive even integers that satisfy the given conditions.
Can somebody plz help me
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64.125 - 20.37 i need the answer
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Answer:
43.755 what the other person said but I know that is the answer
Step-by-step explanation:
apply the distributive property and the greatest common factor to write an equivalent expression.
32k + 24 = _ (_)
what numbers should be in place of the underscores?
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Simplify the expression. (4 − 4i)(−2 + 5i)
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is your answer
4(-2+5i) + -4i(-2+5i)
Simplify - -8+20i +8i -20i²
-20i² + 28i - 8
Hope this helps- Please mark brainliest :)
20 POINTS PLEASE HELP Write an equation for a trend line and predict the value when x is 15
X 0 3 6 9 12
Y 17.5 35.4 50.5 60.6 66.3
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Add the values as presented on the image. Select the values and then go t the menu "Insert" and look for "Charts" and then "Insert scatter chart". After this, select one of the dots from the graph and then press the right button of the mouse and select "add trendline". Now you have a trend line. Format the trendline selecting the option "Display Equation on chart" (and also if you want "Display R-squared value on chart"). Now you have the equation and you can easily predict the value when X is 15, you just need to substitute on the equation the X by the 15:
y = 4.0933Χ + 21.5 <=> y = 82.8995
Solve for x: the quantity of x plus 4 / 3 = 2.
A.x = −2 B.x = 2 C.x = 2/ 3 D. x = negative 10/ 3
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15. How much less would a 25 year old male pay for a $50,000 policy of 20 y life insurance @ $5.84 per $1000, than a straight life policy @ $15.66 per $1000? (Points : 1)
$783
$491
$292
$415
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Answer: Second option is correct.
Step-by-step explanation:
Since we have given that
Amount for policy = $50,000
If he opt for life insurance @$5.84 per $1000,
then, his amount of premium will be
[tex]50000\times \frac{5.84}{1000}=\$292[/tex]
If he opt for straight policy @ $15.66 per $1000,
then, his amount of premium will be
[tex]50000\times \frac{15.66}{1000}=\$783[/tex]
Difference in both the cases will be
[tex]783-292=\$491[/tex]
Hence, Second option is correct.
You can jog around the block twice and the park once in 10 min. You can jog around the block twice and the park 3 times in 22 min. Write a system of linear equations that represents this situation. How long does it take to jog around the park?
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2b + p = 10 min 2 runs around the block takes 10 minutes
2b + 3p = 22 min 2 runs around the block plus 3 runs around the park takes 22 minutes
To solve, I will use substitution. First, I will divide the first equation by 2 to get b by itself and subtract p from both sides to get b by itself. Then, substitute 5 - 1/2p in for b in the second equation because they have equal values. Then, subtract 10 from both sides to eliminate it. Divide by 2 to both sides to get 'p' by itself.
2b + p = 10 min ---------→b + 1/2p = 5 ----------→ b = 5 - 1/2p
2(5 - 1/2p) + 3p = 22 ---------→ 10 -p + 3p = 22 --------→ 10 + 2p = 22
10 + 3p = 22 ----------→ 2p = 12
2p = 12 -------------→ p = 6
It takes 6 minutes to jog around the park
Hope this helps!
A vending machine needs to be programmed to accept any combination of coins totaling 0.75, excluding pennies, and half dollars. How many combinations are possible?
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Combination 2: 2 quarters and 5 nickels.
Combination 3: 2 quarters, 2 dimes, 1 nickel.
Combination 4: 15 nickels
Combination 5: 7 dimes and 1 nickel.
Combination 6: 1 quarter, 5 dimes
Combination 7: 1 quarter, 1 dime, 7 nickels.
Combination 8: 1 quarter, 2 dimes, 6 nickels.
Combination 9: 1 quarter, 3 dimes, 4 nickels.
Combination 10: 1 quarter, 4 dimes, 2 nickels.
I believe those are all the possible combinations.
I hope that helped you! :)
The lenght of a rectangleis 6 inches more thans its width the area of a rectangle is 91 inches find the dimernins
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A web store offers two versions of a popular song. The size of the standard version is 2.5 MB. The size of the high quality is 4.3 MB. Yesterday, there was 1180 downloads of the song, for a total size of 3850 MB. How many downloads of the high quality version were there?
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Answer:
250
Step-by-step explanation:
What’s the ratio of 42¢ to $1.25? (Change dollars to cents)
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Answer:
42 125 becuase i got um right bozzzzzzzz
Step-by-step explanation:
What does it mean when u cant find the mean of a set of numbers?
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Answer:
Another word for mean is the "average", your goal is to find the average of the following data set, it's pretty easy, you just have to add up all the numbers in the data set and divide it with the total numbers in the data set.
For example:
Find the mean of the following data set:
4, 1, 8, 5, 7, 3
Mean: 4 + 1 + 8 + 5 + 7 + 3 = 28
then we divide 28 with 6 since there are 6 numbers in the following data set.
Mean: 4 + 1 + 8 + 5 + 7 3 = 28/6 = 4.6
We get the final answer of 4.6!
A garden table and a bench cost $573 combined. The garden table costs $77 less than the bench. What is the cost of the bench?
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• 573 - 77 = 496
So, the bench costs $496.00.
Hope this helps! :D
~PutarPotato
What is the LCM of 5 and 6?
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Answer: 30
Explanation: To find the least common multiple of lcm of 5 and 6, we begin by listing the first few multiples of each number.
Multiples of 5
1 x 5 = 5
2 x 5 = 10
3 x 5 = 15
4 x 5 = 20
5 x 5 = 25
6 x 5 = 30
Notice that we skipped 0 x 6 in our list of multiples. That's because 0 x 6 is 0 and our least common multiple can't be 0.
Next we list the multiples of 6. When we list the multiples of 6, it's a good idea to keep an eye on the list of multiples for 6 so that we know when we have found a least common multiple.
Multiples of 6
1 x 6 = 6
2 x 6 = 12
3 x 6 = 18
4 x 6 = 24
5 x 6 = 30
Notice that 30 appears in both lists so we can stop here.
This means that the least common multiple of 5 and 6 is 30.
Answer:
30
Step-by-step explanation:
both 6 and 5 go into 30 :)
What is the measure of x?
A.36
B.72
C.144
D.360
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If c(x)= [tex] \frac{5}{x-2} [/tex] and d(x) = x + 3, what is the domain of (cd)(x)?
all real values of x
all real values of x except x = 2
all real values of x except x = –3
all real values of x except x = 2 and x = –3
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now, for a fraction, if its denominator ever becomes 0, the fraction becomes undefined, because it'd be a division by 0.
when does that happen? let's zero out the denominator to check,
x - 2 = 0, thus x = 2
so, if "x" ever becomes 2, the fractions goes kaput.
so, that domain is all real values except that one, that makes the fraction undefined.
The domain of the composite function (cd)(x), where c(x) = 5/(x-2) and d(x) = x + 3, includes all real values except x = 2 due to a division by zero condition in the function c(x).
Explanation:In this problem, we need to figure out the domain of the combined function (cd)(x). The domain constitutes the set of all real values of x that make the function defined. The first function, c(x) = rac{5}{x-2}, isn't defined for x = 2 because it would lead to a division by zero. The second function, d(x) = x + 3, is defined for all real values since it's a linear function.
When these functions are multiplied to form (cd)(x), the domain will be the intersection of the individual function domains. This means, with c(x) having a restriction with x != 2, the composite function (cd)(x) will maintain this restriction despite d(x) being defined for all real values. So the domain for (cd)(x) is all real values except for x = 2.
Learn more about Domain of Composite Function here:https://brainly.com/question/31810210
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The inequality x2 + 12x + 35 ≥ 0 has two critical points and three possible intervals for solutions. Choose each set of possible test points for the three intervals.
–8, –6, –4
–10, –6, 0
–6, 0, 6
–6, 0, 10
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-8,-6,-4
-10,-6,0
these are the possible test points for your three intervals
The given inequality is, x² + 12 x+35≥0
→ x²+7 x +5 x+5×7≥0
→ x (x+7) +5(x+7)≥0
→ (x+5)(x+7)≥0
→ x+5=0 ∧ x+7=0 gives x= -7 ∧ x= -5
Now drawing the number line and marking point ,-5 and -7 on it.
Now the three intervals are (-∞ , -7], [-7,-5] and [-5,∞).
The solution set of inequality (x+5)(x+7)≥0 is (-∞ , -7] and [-5,∞).
The set of possible test points for
⇒ (-∞ , -7] → -8, -10
⇒ [-7,-5] → -6
⇒ [-5,∞) → -4, 0
Option (1) -8,-6,-4 and Option (2) -10,-6,0 satisfies the given condition.