Answer:
straight line and it needs to go through the origin
The Castillo de San Marcos is a Spanish
fortress that was built between 1672
and 1695.
a. Rounded to the nearest ten
thousand, how many pesos did it
cost to build the fortress?
It cost 138,375
pesos to build this
fortress
b. How many years did it take to build
the fortress?
Answer:
a. 14,000 pesos
b. 23 years
Step-by-step explanation:
What is 3/2 divided by 1/2
Answer: 3
Step-by-step explanation: 3/2 / 1/2 = 3
= )
Answer:
It's 3 :)
Step-by-step explanation:
you just multiply the numerators and put them over 1.
so 3*1 is just 3. Hope this helps!
Question
Tom's bank account earns 6% simple interest per year. If Tom deposits $600 and then does not make any additional
deposits or withdrawals, what will the balance on the account be after 5 years?
Round your answer to the nearest dollar.
Provide your answer below:
what is the solution to 6x+5y=19 4x+6y=10
Answer:
The value of x is 4 and y is -1 .
Step-by-step explanation:
First, you have make any term to have the same coefficient. So I will choose x term :
[tex]6x + 5y = 19 - - - \times 2[/tex]
[tex]12x + 10y = 38 - - - (1)[/tex]
[tex]4x + 6y = 10 - - - \times 3[/tex]
[tex]12x + 18y = 30 - - - (2)[/tex]
Next, you have to solve it by Elimination method :
[tex](1) - (2)[/tex]
[tex]12x + 10y - 12x - 18y = 38 - 30[/tex]
[tex] - 8y = 8[/tex]
[tex]y = - 1[/tex]
[tex]substitute \: y = - 1 \: into \: (1)[/tex]
[tex]12x + 10( - 1) = 38[/tex]
[tex]12x - 10 = 38[/tex]
[tex]12x = 38 + 10[/tex]
[tex]12x = 48[/tex]
[tex]x = 4[/tex]
Can someone please help me with these 3 questions?
1) Since the angles are congruent, set them up to equal each other, then solve for x: x + 10 = 50. Now solve
2) Since angles AEC and DEB are congruent, set them up also to equal each other, then solve. : 6x + 20 = 10x. Now solve for x
3) Since AEC and DEB are congruent, they have the exact same angle measurement. Because of this, you are able to set the two equations equal to each other, then solve for x. After you have the value of x, you can plug it into 5x + 12 and solve once again, resulting in the answer for the measurement of angle AEC.
Jordan Ellen recycle cans Jordan recycle seven cans for every 12 cans Ellen recycled last week how many total cans did Jordan and Ellis recycle last week.
Answer:
Ellen sold 42 cans and they sold 114 cans lastweek (both Ellen and Jordan)
Step-by-step explanation:
The oroginal ratio is 7:12 for every 12 cans ellen collects Jordan collects 7 so inorder to find the number of cans Ellen sold you have to figure out what 7 was multiplied by to get 42, and that would be 6. Then you multiply 12 by 6 and get 72 so ELlen sold 72 cans.
Now the new ratio is 42:72 when you add them together you get 114 so they sold (together) 114 cans last week.
HOPE THIS HELPS ↖(^ω^)↗
How do you do this question?
You're very close. The answers you've selected are correct, but there's one third series that's also alternating. Choice C is also an answer due to the [tex](-1)^n[/tex] term.
Any alternating series is in the form [tex]\displaystyle \sum (-1)^n*a_n[/tex] or [tex]\displaystyle \sum (-1)^{n+1}*a_n[/tex] where [tex]a_n[/tex] is any sequence.
Choice E comes close, but the 2n being the exponent means that we don't have alternating signs (positive, negative, positive negative, etc). Why is this? Well notice how 2n is even regardless of what integer n we pick. Raising any negative number to an even power results in a positive value.
Eg: (-7)^2 = 49 and (-3)^4 = 81
This means that all of the terms of sequence E are going to be positive. The terms do not bounce back and forth between positive and negative.
Put another way, [tex](-1)^{2n} = \left((-1)^2\right)^n = 1^n = 1[/tex]
So [tex]\displaystyle \sum_{n=0}^{\infty} (-1)^{2n}\frac{1}{n+3} = \sum_{n=0}^{\infty} \frac{1}{n+3}[/tex]
And it's why choice E is not one of the answers.
-------------------------
To summarize:The 3 answers are A, C, and D
Which equation represents the function graphed on the
coordinate plane?
O g(x) = |x - 41 - 10
O g(x) = 5x + 41 - 10
O g(x) = \X – 10| + 4
O g(x) = (x + 101 – 4
The equation that represents the graph is g(x) = |x + 4| - 10.
The correct option is B.
What is transformation on the graphs?Let the functions f(x) and g(x) be two real functions.
And g (x) = f (x) + k, where k is real numbers.
The function can be sketched by shifting f (x), k units vertically.
The direction of shift can be found by the value of k:
if k > 0, the base graph shifts k units up, and
if k < 0, the base graph shifts k units down.
The function provided by the basic function f(x) and the constant
g(x) = f(x - k),
may be drawn by horizontally moving the f(x) k unit coordinates.
The shift's direction depends on the value of k. Specifically,
The base graph moves k units to the right if k > 0, and
The base graph moves k units to the left if k < 0.
Since the graph of the parent function is g(x) = |x|, the transformed graph is obtained by shifting it 4 units to the left and 10 units down. This can be achieved by applying the following transformations to the parent function:
Shift 4 units to the left: g(x + 4) = |x + 4|
Shift 10 units down: g(x + 4) - 10 = |x + 4| - 10
Therefore, the equation for the transformed function is g(x + 4) - 10 = |x + 4| - 10.
To learn more about the transformation on the graphs;
https://brainly.com/question/19040905
#SPJ7
Ian walks down a sloped path. After 6 minutes, he is 3 m above street level. Write the equation in slope-intercept form of the line that represents Ian’s height above street level, y, over time x, if he knows the path is parallel to another path with equation y = -2/3x + 12
Answer:
y=-2/3x+7
Step-by-step explanation:
Since you know the path is parallel to the equation y+-2/3x+12, you already know the slope is -2/3.
It says y is the height above street level, so that is 3. The problem says x is time, which is 6, so all you have to solve for is the y intercept.
3 (y, or the height above street level) = (-2/3) 6 (x, or time) + b (unknown y intercept)
3 = -4 + b
7 = b
So, y = -2/3x + 7
evaluate the expression 3 x when x equals negative 9
[tex]given \: that \: :[/tex]
[tex]x \: = - 9[/tex]
[tex]then \: 3x \: will \: be : [/tex]
[tex]3 \times x[/tex]
[tex]3 \times - 9[/tex]
[tex] = - 27[/tex]
[tex]∴3x = - 27 \: ( \: x \: = - 9)[/tex]
Enter the ratio as a fraction in lowest terms 3 ft to 88 in. Hint: You must use common units (12 in = 1 ft.)
Answer:
9/22
Step-by-step explanation:
convert 3ft into inches.
3*12=36in
then make it into a fraction
36/88
simplify
9/22
20 POINTS !!!!
The roots of the equation x^2+bx+c=0 are −4 and 2. Find b.
first, love the killua profile picture ! i love hunterxhunter i am currently on season 5, episode 44 or 45 aka 119 or 120 but anyways,
answer:
b = 2
step-by-step explanation:
because its roots are -4 and 2,
and a = 1 [The coefficient of [tex]x^2[/tex]] we know that [tex]x^2 + bx + c = (x - (-4)) (x-2)=(x+4)(x-2) = 0.[/tex]
using the distributive property we get,
[tex]x^2 + 2x - 8 = 0.[/tex]
by equating coefficients (common strategy for partial fractions and undetermined coefficient method of solving ODE), we get b = 2 and c = -8 ( solved c just for fun guess :) ) .
hope this helps :)
-audrey <3
Can you answer this for me
Answer:
5
Step-by-step explanation:
[tex]\sqrt(-3)^{2}+4^2[/tex]
[tex]\sqrt9+16[/tex]
[tex]\sqrt25[/tex]
The EverGlow nuclear power plant releases water into Lake Fishbegone every afternoon at 4:51 p.m. Environmental researchers are concerned that fish are being driven away from the area around the plant. They believe that the temperature of the water discharged may be a factor. The data table below gives the temperature of the water released by the plant and the measured distance (in meters) from the outflow pipe of the plant to the nearest fish found in the water on several randomly chosen afternoons. A scatterplot of the data and the least-squares regression line are given.
What is the slope of the least-squares regression line? *
A. -74.704
B. 5.791
C. 12.196
D. 0.946
9514 1404 393
Answer:
B. 5.791
Step-by-step explanation:
The slope of the line is the coefficient of x in its equation. The equation is ...
ŷ = -74.704 +5.791x
The coefficient of x, the slope, is 5.791.
Evaluate this exponential expression. 4^5
Answer:
1024
Step-by-step explanation:
4⁵ is 4 multiplied 5 times.
4⁵ = 4 · 4 · 4 · 4 · 4
16 · 4 · 4 · 4
64 · 4 · 4
256 · 4
1024
As an estimation we are told 5 miles is 8 km.
Convert 20 miles to km.
Can someone help me? Please I’m not great at math. Everything is in the pictures.
Answer:
Hi There
Your answers are:
4) 12/3
-10) YES!
0/10) 0 (zero)
2 & 3/4 ) 11/4
10 & 1/2 ) 21/2
.3) 3/10
-.16) -4/ 25
3.17) 3 & 17 /100
.3 repeating ) YES
.16 repeating) 1/ 6
-1.2 repeating ) YES!
If a decimal does not terminate or repeat is is not a rational number
Step-by-step explanation:
For 4)
4/1 = 12/x
Ask yourself, how do i get from 4 to 12?
Multiply by 3! HOWEVER, whats done to the numerator MUST be done to the denominator!
4/1 * 3/3 = 12/3
For -10 )
-10/1 = -20/2
Simplify -20/2!
Divide -20 by 2 = -10
-10/1 = -10/1 YES!
For 0/10 )
When you have ZERO tenths, what does that equal? Zero!
For 2 & 3/4ths )
To change to an improper fraction, multiply the 2 by the denominator and add that to the numerator. Put that over the original denominator
(2*4 +3) / 4
8+3 / 4 = 11/4
For 10 & 1/2 )
Repeat what you did for 2& 3/4ths!
(10*2+1)/2
20+1/2
21/2
la function exponencial f(x) =2^x tiene intercepto en "y" al igual a
Answer:
f = 2 ^ x es cierto para todo y
Use the drop-down menus to complete the sentences:
The terminal ray of an angle measuring -10/9pie at lies in the
quadrant.
This angle measures
Answer:
1. second
2. -200
Step-by-step explanation:
Just did it on e2020
a triangle with vertices at a 20 -30 b 10 -15. and c 5 -20 has beem dilated with a center of dilation at the origin the image of b point b has coordinates 2 -3 what is the scale factor of the dilation
Answer:
1/5
Step-by-step explanation:
When the dilation is centered at the origin, the dilation factor is applied to each pre-image coordinate to get the image coordinate.
k(10, -15) = (2, -3)
k = 2/10 = -3/-15 = 1/5
The scale factor of the dilation is 1/5.
PLZ ANSWER FASTTTTT (70 POINTSSSS)
Your parents deposited $1,500 into a new college fund that will earn an annual compound interest rate of 3%. How much money will be in the account when you need it for college in 5 years? (write and use the compound interest formula)
THANK YOU!!
Answer:
$1738.91Step-by-step explanation:
Given
Deposit: P = $1500Interest rate: r = 3% = 0.03 compoundedTime: t = 5 yearsCompound number: n =1 per yearFinal amount A= ?Formula for compound interest is:
A = P(1 + r/n)^ntSubstituting values
A = 1500(1 + 0.03/1)^1*5 =1500(1.03^5) = $1738.91(-2x)^4 Simpify the number
Answer:
d
Step-by-step explanation:
i like ya cut g
How much heavier is the Black bear than the Key deer.
Answer:
How heavy is a full grown black bear?
2-3 feet at the shoulders and weights average 150 -300 pounds, with females smaller than males; some male bears weighing 700-800 pounds have been documented.
Step-by-step explanation:
HOPE THIS HELPED ✨
The weight difference between a female black bear and a female key deer is 80 or lower.
a female black bear can weight up to 180 pounds while a female key deer can weight up to 100 pounds.
the weight difference between a male black bear and a male key deer is 510 pounds.
a male black bear can weigh up to 660 punds while a male key deer can weigh up to 150 pounds.
If g(x) = 4x2 + 3x - 25, what is the value of g(-10)?
F -445
G 25
H 1545
J 345
Answer:
g(-10) = 345
Step-by-step explanation:
g(x) = 4x² + 3x - 25
~Substitute
g(-10) = 4(-10)² + 3(-10) - 25
~Simplify
g(-10) = 4(100) - 30 - 25
~Multiply
g(-10) = 400 - 30 - 25
~Subtract
g(-10) = 370 - 25
~Subtract
g(-10) = 345
Best of Luck!
I need help plzz I need the answer
Answer:
24cm
Step-by-step explanation:
you do length times width and you get 24
Multiply (−4)(−2)(−5)
A −40
B -8
C 8
D 40
Answer: A. -40
Step-by-step explanation:
-4 x -2 equals 8, 8 times -5 equals -40
Any negative number times another negative number equal a positive number. That number would be 8, but then you multiply 8 which is a possitive number by -5 which is a negative number you would get a negative number again (-40). Is it a trick question or something?
is (5 , -11) a solution to a function y= -2x+1
Answer:
No
Step-by-step explanation:
y = -2x + 1
(-11) = -2(5) +1 \ Plug-in the values from the point given
-11 = -10 + 1 \ Reduce
-11 = -9 \ Simplify
-11 ≠ -9 \ Determine the valididity
a square garden with a side of 150m has a square swimming pool in the very center with a side length of 25m calculate the area of the garden
Answer: 21,875 sqm
Step-by-step explanation:
Step 1:
Find the gross area of the garden.
Square 150m = 22,500 sqm.
Step 2:
Find the area of the pool.
Square 25m = 625 sqm.
Step 3:
Subtract the area of the pool from the gross area of the garden
to find the net area of the garden.
22,500 - 625 = 21,875 sqm.
Warning:
Do not subtract the side length of the swimming pool from the side length
of the garden before squaring.
Suppose that 20% of the subscribers of a cable television company watch the shopping channel at least once a week. The cable company is trying to decide whether to replace this channel with a new local station. A survey of 100 subscribers will be undertaken. The cable company has decided to keep the shopping channel if the sample proportion is greater than 0.27. What is the approximate probability that the cable company will keep the shopping channel, even though the true proportion who watch it is only 0.20
Answer:
There is approximately 4% chance that the cable company will keep the shopping channel, even though the true proportion who watch it is only 0.20.
Step-by-step explanation:
The random variable X can be defined as the number of subscribers of a cable television company who watch the shopping channel at least once a week.
X follows a Binomial distribution with parameters n = 100 and p = 0.20.
But the sample selected is too large and the probability of success is close to 0.50.
So a Normal approximation to binomial can be applied to approximate the distribution of X if the following conditions are satisfied:
1. np ≥ 10
2. n(1 - p) ≥ 10
Check the conditions as follows:
[tex]np=100\times 0.20=20>10\\\\n(1-p)=100\times 0.80=80>10[/tex]
Thus, a Normal approximation to binomial can be applied.
[tex]\hat p\sim N(p,\frac{p(1-p)}{n})[/tex]
Compute the approximate probability that the cable company will keep the shopping channel, even though the true proportion who watch it is only 0.20 as follows:
[tex]P(\hat p>0.27)=P(\frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n}}}>\frac{0.27-0.20}{\sqrt{\frac{0.20(1-0.20}{100}}})[/tex]
[tex]=P(Z>1.75)\\=1-P(Z<1.75)\\=1-0.95994\\=0.04006\\\approx 0.04[/tex]
Thus, there is approximately 4% chance that the cable company will keep the shopping channel, even though the true proportion who watch it is only 0.20.
3. Give the domain of y= √6-X using set builder notation.
Answer:
{x | x ≤ 6}
Step-by-step explanation:
Given
y = √(6 - x)
Required
Determine the domain
We start by setting 6 - x to ≥ 0.
i.e.
6 - x ≥ 0
Add x to both sides
6 - x + x ≥ 0 + x
6 ≥ x
This can be rewritten as
x ≤ 6
Using set builder, the above van be represented as: {x | x ≤ 6}