(5,3)
Explanation1. Determine the rule for this rotation
(x,y) ---> (-y,x)
2. Plug in
(3, -5) ----> (5,3)
Answer
(5,3)
Answer:
( -5, -3) .
Step-by-step explanation:
Given : A pre-image point is rotated 90° clockwise. If the pre-image point had the coordinates (3, -5).
To find : what are the coordinates of its image point.
Solution : We have given that
Parent coordinates (3, -5)
If the point is rotated 90° clockwise.
By the rotation rule of 90° clockwise (x ,y) →→ ( y , -x) .
Then (3 ,-5) →→ ( -5, -3)
Therefore, ( -5, -3) .
Help with these problems
Answer:
1- D 2-A
number one: you multiply all the numbers together...
number two: you add the numbers together and i got A because if you add it all up, it is 42.593 and that is greater than 42.537.
hope dis helps! :p
find the area of each triangle. Round your answers to the nearest tenth
Answer:
5. 25.4 6. 53.5 7. 107.9
Step-by-step explanation:
since you do not know the height you do the side time the base times the gamma or the angle degrees
An architect has a scale drawing of an addition that is to be added to a house with a scale of 1 inch: 2 feet. If the drawing is 6 inches by 10 inches, how big is the addition to the house going to be?
A) 6 feet by 10 feet
B) 8 feet by 12 feet
C) 10 feet by 12 feet
D) 12 feet by 20 feet
1 inch is 2 feet. So we use this and ask: 6 inch is 6 × 2 feet which is 12 feet. We do this again with 10 inch × 2 is 20 feet.
So the answer is D. 12 feet by 20 feet.
Hope this helps.
r3t40
A hypothetical square grows so that the length of it's diagonals are increasing at a rate of 8 m/min. How fast is the area of the square increasing when the diagonals are 4m each?
Answer:
32[tex]m^{2}/min[/tex]
Step-by-step explanation:
We let the length of the square be l, the diagonal be z and the area be A.
Then by Pythagoras theorem;
[tex]l^{2}+l^{2}=z^{2}\\2l^{2}=z^{2}[/tex]
The are of a square of length l is given as;
[tex]A=l^{2}[/tex]
Combining these two equations yields;
[tex]z^{2}=2A[/tex]
[tex]A=\frac{z^{2} }{2}[/tex]
Next, we have been given;
[tex]\frac{dz}{dt}=8[/tex]
We are required to find;
[tex]\frac{dA}{dt}[/tex] when z = 4
By chain rule;
[tex]\frac{dA}{dt}=\frac{dA}{dz}*\frac{dz}{dt}[/tex]
Differentiating [tex]A=\frac{z^{2} }{2}[/tex] with respect to z yields;
[tex]\frac{dA}{dz}=z[/tex]
Therefore,
[tex]\frac{dA}{dt}=\frac{dA}{dz}*\frac{dz}{dt}[/tex] = 8z
When z is 4m the area of the square will be increasing at a rate of;
8m/min * 4m = 32[tex]m^{2}/min[/tex]
The area of the square is increasing at a rate of 32 m^2/min when the diagonals are each 4 meters long. This is calculated using the relationship between the diagonal and the side length of the square, and applying the concepts of calculus.
Explanation:The subject of your question is related to Mathematics, specifically in the field of calculus, which deals with rates of change and accumulation. In this scenario, we're looking at how fast the area of a square is increasing given that its diagonals are increasing at a steady rate.
In a square, the diagonal and the side length 's' have a specific relationship, given by the Pythagorean theorem as diagonal = s * sqrt(2). As the diagonal is increasing at 8 m/min, ds/dt = 8/(sqrt(2)) m/min. Now, the area of a square (A) is given by A = s^2. By differentiating this respect to time 't', dA/dt = 2s*(ds/dt). Substituting the given length of the diagonal (4 m), we find s = diagonal/sqrt(2) = 2 sqrt(2) m. Now, substituting s and ds/dt into the equation for dA/dt, we find dA/dt = 2s*(ds/dt) = 2*2sqrt(2)*8/sqrt(2) = 32 m^2/min. So, the area of the square is increasing at the rate of 32 m^2/min when the diagonals are 4 meters each.
Learn more about Rate of Change here:https://brainly.com/question/29181502
#SPJ3
Which net folds into the rectangular prism?
Answer:
the correct answer is the letter X
Step-by-step explanation:
because the shaded sides are between the two larger rectangles
I believe the answer your looking for is “X”
Given the polynomial 21x 4 + 3y - 6x 2 + 34 What polynomial must be subtracted from it to obtain 29x 2 - 7 ? What polynomial must be added to it to obtain a first degree polynomial?
Answer:
1. 21x⁴+3y-35x² + 41
2. -21x⁴-3y+6x² + x
Step-by-step explanation:
When adding and subtracting polynomials , you can use the distributive property to add or subtract the coefficients of like terms.
1. The polynomial is 21x⁴ + 3y -6x² + 34
To obtain polynomial 29x² -7 , we must subtract some polynomial from it.
Let that polynomial be k.
So, 21x⁴ + 3y -6x² + 34 - k = 29x² -7
k = 21x⁴ + 3y - 6x² +34 - 29x² +7 = 21x⁴ + 3y - 35x² + 41
2. To obtain a first degree polynomial, let that polynomial be x +34
So, 21x⁴ + 3y - 6x² + 34 + K = x + 34
K = x + 34 - 21x⁴ -3y + 6x² - 34
= -21x⁴ - 3y + 6x² + x
Alyssa is saving up for a computer and knows she'll need to spend at least $750 to get the one she wants. She saves $80 each month. How long will she need to save before she can go computer shopping? Which of the following inequalities could you use to solve this problem? A. x < 750 B. x 750 C. 80x 750 D. 80x 750
Answer:
[tex]80x\geq 750[/tex]
She'll need to save at least 10 months to be able to go buy the computer.
Step-by-step explanation:
Let
x ----> the number of months
we know that
The inequality that represent this situation is equal to
[tex]80x\geq 750[/tex]
solve for x
[tex]x\geq 750/80[/tex]
[tex]x\geq 9.4\ months[/tex]
therefore
The minimum number of months is 10
What is the surface area of the figure? (Easy 20 points pls help)
408 ft
Can I have brainliest?
:)
Which pair of radicals is a pair like radicals
Answer:
D is wrong just took test.... 7√3 and 9√3 is COREECT!
Step-by-step explanation:
Convert 150 minutes to hours. There are 60 minutes in 1 hour.
A) 2 1/2 hours
B) 3 hours
C) 3 1/2 hours
D) 5 hours
The answer would be A, 2 1/2 hours.
Hope I helped!
~Mschmindy
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
The answer would be A) 2 1/2 hours.
Twelve is what percent of 20? 17 6 60 80
12 to 20 is 60 percent
12 is 60% of 20
To find the percent you must divide to two numbers 12 and 20. You then get 0.6 which is 60 percent because 6 is in the tenths place which also determines how many zeros there are.
Can one of y'all smart people help
i think the answer is 8
Beginning with January, Connie kept track of the number of books she read each month for six months. By March, she had read a total of 22 books.
By which month had Connie read 40 books?
May
April
March
June
Answer: May
Step-by-step explanation: 40/7.3333 equals 5.45 months basically 5 and a half of a month so 5 months which is may
Answer: May
Step-by-step explanation: 40/7.3333 equals 5.45 months basically 5 and a half of a month so 5 months which is may
NEED HELP -
A wise man once said, "500 reduced by twice my age is 310." What is his age?
The wise man is 95 years old.
Explanation:In order to solve this problem, let's first define the variable x as the wise man's age.
The sentence '500 reduced by twice my age' can be written as:
500 - 2x = 310
Now, let's solve the equation to find the value of x:
Subtract 500 from both sides: -2x = -190
Divide both sides by -2: x = 95
Therefore, the wise man is 95 years old.
Encuentra la densidad de la tierra considerado su volumen como una forma esferica regular toma en cuenta que el radio de la tierra es 6,38×10 ala 6 y su masa es de 5,98 × 10 ala 24 kg
Answer:
So sorry can you type in english to understand
Step-by-step explanation:
Please help me thank you
Answer:
Q1: -2
Q2: 13
Q3: 15
Q4: -12
Q5: 7
Q6: -4
Q7: 12p + 3
In a recent student government election, the ratio of students who voted for the winner to all the students who voted was 0.64. The number of students who voted was 125. How many votes did the winner get?
Answer:
80
Step-by-step explanation:
The total was 125
0.64 of them voted for the winner.
The number who voted for the winner = ratio * total
Votes for the winner = 0.64 * 125
Votes for the winner = 80
What function equation is represented by the graph?
A f(x)=−2/3x+2
B f(x)=3x−2
C f(x)=2/3x−2
D f(x)=−2x+3
Answer:
C.2/3x−2
Step-by-step explanation:
The answer is definitely C
Identify the vertex of the parabola
Answer: The vertex is 1
Step-by-step explanation:
The vertex is the line that passes through the center of the parabola
if the driver looks 49 inches above the road bed, at what distances from the tower will the drivers eyes be at the same height as the cable?
Replace h with 49 ( the given height) and solve for d ( distance).
49 = d^2 - 36d +324
Subtract 49 from both sides:
0 = d^2 - 36d + 275
Factor the polynomial, by finding two numbers when added together equal -36 and when multiplied equal 275.
(d-25)(d-11) = 0
Now solve for d by setting both equations to 0:
d-25 = 0
d = 25
d-11 = 0
d = 11
The two distances would be 11 yards and 25 yards.
Which of the following exponential equations is equivalent to the logarithmic equation below? log750=x
Answer:
I believe the answer is A
Hope This Helps! Have A Nice Day!!
For this case we must indicate an expression equivalent to:
[tex]log (750) = x[/tex]
For properties of logarithm we have to:
[tex]log_ {b} (x) = y[/tex]is equivalent, in its exponential form to:
[tex]b ^ y = x[/tex], where [tex]x> 0, b> 0[/tex] and b different from 1.
In this case:
[tex]b = 10\\x = 750\\y = x[/tex]
So:
[tex]10 ^ x = 750[/tex]
ANswer:
Option D
David is filling out orders for an online business and gets paid $1 for each order he fills out plus bonus of 25 cents per order if the average number of orders he completes per day within any of the given weeks exceeds 20. The ratio of the number of orders he processed during the first week to the number of orders he processed during the second week is 3:2, while the the ratio that compares the number of orders he filled out during the first and the third weeks is 4 to 5 respectively. What amount of money will David make at the end of three weeks if the total number of orders he filled out was 385. If necessary, round your answer to the nearest dollar.
Answer:
David will make $481 (he earns the bonus)
Explanation:
If he makes $1 for each order and he filled out 385 orders, then why can't we say he made $385?
Because of this statement rights here:
"...and gets paid $1 for each order he fills out plus bonus of 25 cents per order if the average number of orders he completes per day within any of the given weeks exceeds 20."
So we need to find out if any of the 3 weeks has an average of 20+ orders per day.
David is filling out orders for an online business and gets paid $1 for each order he fills out(x is the amount of orders he fills out)
profit = $1x
plus bonus of 25 cents per order if the average number of orders he completes per day within any of the given weeks exceeds 20.if any average orders per day is > 20 in any week
bonus profit = $1.25x
The ratio of the number of orders he processed during the first week to the number of orders he processed during the second week is 3:2,first week second week
3a : 2a
while the the ratio that compares the number of orders he filled out during the first and the third weeks is 4 to 5 respectively.first week third week
4a : 5a
What amount of money will David make at the end of three weeks if the total number of orders he filled out was 385?sum of all ratios of a = 385
So we have
3a : 2a (first week to second week)
4a : 5a (first week to third week)
Notice how the first two numbers are both from the first week. Let's use the Least Common Multiple to make them equal while still keeping ratios.
LCM of 3 and 4: 12 = 3 * 4
12a : 8a ( times 4 )
12a : 15a ( times 3 )
Now that we have the same value, we can create a big ratio
first week second week third week
12a : 8a : 15a
we know that these ratios will all equal 385. Since ratios are equal no matter how big we make them, we can say that
12a + 8a + 15a = 385 (a is a variable to scale up the ratio)
which is the same as
(12 + 8 + 15) * a = 385
(35) * a = 385
35a = 385
if we solve for a by dividing 35 on both sides we get
a = 11
This gives us how much to multiply the RATIO by to get the ACTUAL NUMBER of orders completed. Let's plug 11 for 'a' and see what happens.
12a + 8a + 15a = 385
12(11) + 8(11) + 15(11) = 385
132 + 88 + 165 = 385 (Check that out, the number of orders each week!)
220 + 165 = 385
385 = 385
Bingo! All the math works out. So, looking back at the verryyy top of this problem, the reason why it wasn't as easy as $385 was because of the bonus.
The bonus gives David $1.25 per order instead of $1 per order if any of the weeks have an average ORDER PER DAY of anything bigger than 20. If we know the real numbers of orders for every week (132, 88, and 165), then we can divide it by 7 to get the average order per day. Let's choose 165 (the third week) because it is the biggest and has the greatest chance of meeting our goal.
165 orders / 7 days (7 days in a week) = 23.57 orders per day
Is this greater than 20 orders per day?
YES!
So now we can safely say that the bonus is there or not, and in this case, the bonus IS there because there is a week where David had more than 20 orders per day.
So instead of using
profit = $1x
We will use
bonus profit = $1.25x
(x is the amount of orders completed)
So if we know he completed 385 orders, and we know he earned the bonus, we plug in 385 for x for the bonus function
bonus profit = $1.25x
bonus profit = $1.25 * 385
bonus profit = $481.25
If necessary, round your answer to the nearest dollar.
So for the very end, all we have to do is round it to the nearest dollar.
$481.25 rounds to $481.
And we're done!
Answer:
426
Step-by-step explanation:
the three totals of orders per week were 132, 88, and 165. David gets a 25 cent bonus only if the average was 20 or more per day in the week, so we divide by 7 to each. The only one that ends up with a quotient greater than 20 is 165 so we do 165*1.25=206.25. we now add up the three totals. 132+88+206.25=426.25. Now we round to the nearest dollar which is 426. And thats our answer!
Sorry if it is a bad explanation.
Hope this helps :)
This shouldn't be too difficult i just don't know what i'm doing please help
Write the expression below as a function of cos only.
sin²x/1+cos x
Answer:
[tex]\frac{1-cos^2x}{1+cosx}[/tex]
Step-by-step explanation:
We are given the expression
[tex]\frac{sin^2x}{1+cosx}[/tex]
We can use the Pythagorean identity of [tex]sin^2x+cos^2x=1[/tex] when solved for [tex]sin^2x=1-cos^2x[/tex]
Now we can substitute in our identity for [tex]sin^2x[/tex]
[tex]\frac{1-cos^2x}{1+cosx}[/tex]
A bag contains 5 white marbles and 5 blue marbles. You randomly select one marble from the bag and put it back. Then, you randomly select another marble from the bag. Which calculation proves that randomly selecting a white marble the first time and a blue marble the second time are two independent events?
Answer:
Event A = white marble is selected
Event B = blue marble is selected
P(A) = 5/10 = 1/2
p(B) = 5/10 = 1/2
Probability that A and B are independent events is:
P(A∩B) = 1/2 × 1/2
Answer: 1/4
Answer: C) P(A and B) = 1/2 1/2
The student body at a high school was surveyed about sports participation. The table below shows the data by grade level. What does the joint relative frequency 28/612 represent?
Im doing this question rn and I believe the answer should be C) the ratio of the student body that are in 12th grade and play two or more sports.
Step-by-step explanation: I chose this bc there are 28 12th graders that play 2 or more sports and the total student body is 612. So 28/612 makes most sense to me. Sorry this is so late but I just checked and it’s right!
Answer:
c
Step-by-step explanation:
Can You Please Help Me.
Write an inequality that matches the number line model.
13. x≤-3
14. x<1 1/2
:) :) :)
f(x) = x^2 what is g(x)?
Answer:
[tex]g(x)=(\frac{1}{4}x)^2[/tex]
Step-by-step explanation:
The given functions are;
[tex]f(x)=x^2[/tex]
The function g(x) is a vertical stretch of f(x) by a factor of 'a' units, therefore we can write g(x) in terms of f(x).
This implies that;
[tex]g(x)=a\bullet f(x)[/tex]
[tex]\implies g(x)=a\bullet x^2[/tex]
The graph of g(x) passes through (4,1).
[tex]\implies g(4)=1[/tex]
[tex]\implies a(4^2)=1[/tex]
[tex]\implies 16a=1[/tex]
[tex]\implies a=\frac{1}{16}[/tex]
This implies that;
[tex]\implies g(x)=\frac{1}{16}x^2[/tex]
Or
[tex]g(x)=(\frac{1}{4}x)^2[/tex]
Answer IN THE PICTURE BELOW
G(X)=(1/4X)^2
Find all solutions for a triangle with B=36degrees b=19 c=30
Answer:
m∠A = 76° , m∠C = 68° , a = 31.4
Step-by-step explanation:
* Lets revise how to solve a triangle
- In ΔABC
- a, b, c are the lengths of its 3 sides, where
# a is opposite to angle A
# b is opposite to angle B
# c is opposite to angle C
- m∠B = 36°
- b = 19
- c = 30
* To solve the triangle we can use the sin Rule
- In any triangle the ratio between the length of each side
to the measure of each opposite angle are equal
- a/sinA = b/sinB = c/sinC
* Lets use it to find a and m∠C
∵ m∠B = 36° , b = 19 and c = 30
∵ 19/sin36° = 30/sinC ⇒ by using cross multiplication
∴ sinC = 30 × sin36° ÷ 19 = 0.928
∴ m∠C = sin^-1(0.928) = 68°
- Find measure of angle A
∵ The sum of the measures of the interior angles in a triangle is 180°
∵ m∠A = 180° - (68° + 36°) = 180° - 104° = 76°
∴ m∠A = 76°
- Now we can Find a
∵ a/sinA = b/sinB
∴ a/sin76° = 19/sin36° ⇒ by using cross multiplication
∴ a = 19 × sin(76°) ÷ sin(36°) = 31.4
* m∠A = 76° , m∠C = 68° , a = 31.4
Answer:
Triangle 1A =75.86, B=36, C=68.14, b=19, c=30, a=31.34
Triangle 2A=32.14, B=36, C=111.86, b=19, c=30, a=17.19
Step-by-step explanation:
We have two sides of triangle (b and c) and an angle (B)
To solve the triangle we use the sine theorem:
[tex]\frac{sin(B)}{b}=\frac{sin(C)}{c} =\frac{sin(A)}{a}[/tex]
We substitute the values of b, B and c in the equation and solve for C
[tex]\frac{sin(36)}{19}=\frac{sin(C)}{30}\\\\sin(C) = 30*\frac{sin(36)}{19}\\\\sin(C) = 0.9281\\\\C=arcsin(0.9281)\\\\C=68.14\°\ \ or\ \ C=111.86[/tex]
The sum of the internal angles of a triangle is 180, then
[tex]68.14 + 36 + A=180\\\\A=180-68.14 - 36\\\\A=75.86\°[/tex]
or
[tex]111.86 + 36 + A=180\\\\A=180-111.86 - 36\\\\A=32.14\°[/tex]
No we find "a" for both cases.
[tex]\frac{sin(36)}{19}=\frac{sin(75.86\°)}{a}\\\\0.03094a=sin(75.86\°)\\\\a=\frac{sin(75.86\°)}{0.03094}\\\\a=31.34[/tex]
or
[tex]\frac{sin(36)}{19}=\frac{sin(32.14\°)}{a}\\\\0.03094a=sin(32.14\°)\\\\a=\frac{sin(32.14\°)}{0.03094}\\\\a=17.19[/tex]
6. Find the area of the parallelograr
Answer:
A = 42 cm²Step-by-step explanation:
The formula of an area of a parallelogram:
[tex]A=ah[/tex]
a - base
h - height
We have
[tex]a=11\dfrac{2}{3}\ cm,\ h=3\dfrac{3}{5}\ cm[/tex]
Convert the mixed numbers to the improper fractions:
[tex]11\dfrac{2}{3}=\dfrac{(11)(3)+2}{3}=\dfrac{35}{3}\\\\3\dfrac{3}{5}=\dfrac{(3)(5)+3}{5}=\dfrac{18}{5}[/tex]
Substitute:
[tex]A=\left(11\dfrac{2}{3}\right)\left(3\dfrac{3}{5}\right)=\left(\dfrac{35\!\!\!\!\!\diagup^7}{3\!\!\!\!\diagup_1}\right)\left(\dfrac{18\!\!\!\!\diagup^6}{5\!\!\!\!\diagup_1}\right)=(7)(6)=42\ cm^2[/tex]
what is the sum of -1/3 and 7/9
The answer is 4/9.
First you’d find the least common denominator for the fractions,, which would be 9.
You then multiply the first fraction by 3 to make it equal to 9.
The new equation would be -3/9+7/9.
Add it up, and it would equal 4/9.
-1/3+7/9
-1/3=-3/9
-3/9+7/9=4/8