Answer:
a) A horizontal translation 3 units to the left and a vertical translation 2 units down.Step-by-step explanation:
Given function:
f(x) = (x + 3)² - 2This is a transformation of:
f(x) → f(x + 3) - 2+ 3 represents horizontal translation 3 units left- 2 represents vertical translation 2 units downCorrect choice is a)
Jesse has a storage container in the shape of a right rectangular prism. The volume of the container is 43.875 cubic meters, the length is 5 meters and the width is 3.9 meters.
Note: Consider we need to find the height of the container.
Given:
The volume of container in the shape of right rectangular prism = 43.875 cubic meters.
Length = 5 meters.
Width = 3.9 meters.
To find:
The height of the container.
Solution:
We know that the volume of a rectangular prism is:
[tex]V=l\times w\times h[/tex]
Where, l is length, w is width and h is height.
Putting [tex]V=43.875,l=5,w=3.9[/tex] in the above formula, we get
[tex]43.875=5\times 3.9\times h[/tex]
[tex]43.875=19.5\times h[/tex]
[tex]\dfrac{43.875}{19.5}=h[/tex]
[tex]2.25=h[/tex]
Therefore, the height of the rectangular container is 2.25 meters.
Help plz it’s due today will mark brainliest IF CORRECT!
Answer:
20
Step-by-step explanatio: because its adding 2 more spaces to the left
Please brainliest
What’s the scale factor?
Answer:
The scale factor is 1/4
Step-by-step explanation:
20/5 = 4
Find the values of the six trigonometric functions of an angle in standard position if the point with coordinates (84, 13) lies on its terminal side.
Answer:
[tex]\sin \theta = 0.153[/tex], [tex]\cos \theta = 0.988[/tex], [tex]\tan \theta = 0.155[/tex], [tex]\cot \theta = 6.462[/tex], [tex]\sec \theta = 1.012[/tex], [tex]\csc \theta = 6.538[/tex]
Step-by-step explanation:
Let be the point [tex](x,y)[/tex], the six trigonometric functions of the angle are represented by following formulas:
[tex]\sin \theta = \frac{y}{\sqrt{x^{2}+y^{2}}}[/tex] (1)
[tex]\cos \theta = \frac{x}{\sqrt{x^{2}+y^{2}}}[/tex] (2)
[tex]\tan \theta = \frac{\sin \theta}{\cos \theta} = \frac{y}{x}[/tex] (3)
[tex]\cot \theta = \frac{1}{\tan \theta} = \frac{x}{y}[/tex] (4)
[tex]\sec \theta = \frac{1}{\cos \theta} = \frac{\sqrt{x^{2}+y^{2}}}{x}[/tex] (5)
[tex]\csc \theta = \frac{1}{\sin \theta} = \frac{\sqrt{x^{2}+y^{2}}}{y}[/tex] (6)
If we know that [tex]x = 84[/tex] and [tex]y = 13[/tex], then the values of the six trigonometric functions is:
[tex]\sin \theta = \frac{y}{\sqrt{x^{2}+y^{2}}}[/tex]
[tex]\sin \theta = 0.153[/tex]
[tex]\cos \theta = \frac{x}{\sqrt{x^{2}+y^{2}}}[/tex]
[tex]\cos \theta = 0.988[/tex]
[tex]\tan \theta = \frac{y}{x}[/tex]
[tex]\tan \theta = 0.155[/tex]
[tex]\cot \theta = \frac{x}{y}[/tex]
[tex]\cot \theta = 6.462[/tex]
[tex]\sec \theta = \frac{\sqrt{x^{2}+y^{2}}}{x}[/tex]
[tex]\sec \theta = 1.012[/tex]
[tex]\csc \theta = \frac{\sqrt{x^{2}+y^{2}}}{y}[/tex]
[tex]\csc \theta = 6.538[/tex]
Kira and her friends are planning to take a trip next summer to drive to Big Bend National Park. They plan to split the cost of gas equally among the 4 of them. Kira expects that each person will pay at most $35.
Let x represent how much Kira expects the gas to cost in all. Which inequality describes the problem?
Using proportions, it is found that the inequality that describes the problem is:
[tex]\frac{x}{4} \leq 35[/tex]
The sentence is:
Kira expects the gas to cost at most $140.What is a proportion?A proportion is a fraction of total amount.In this problem:
The total amount is the gas cost, which is of x.This amount will be evenly split among four people, hence the amount paid by each person is given by:[tex]\frac{x}{4}[/tex]
Kira expects that each person will pay at most $35, hence, the inequality is:
[tex]\frac{x}{4} \leq 35[/tex]
Solving the inequality, we have that:
[tex]x \leq 140[/tex]
Hence, the sentence is:
Kira expects the gas to cost at most $140.You can learn more about proportions at https://brainly.com/question/24372153
21 m
15 m
Which is closest to the length of XY?
Answer:
18.0 i think
Step-by-step explanation:
Elise bought a dress that was discounted 35% off of the original price of $140. What was the amount of discount and the sale price of the dress?
To become a member at All Sport Gym, you must first pay a one time fee of $25. After that, the cost of membership is $10 per month. Write an equation to model this situation.
Answer:
25-10=15
Step-by-step explanation:
How do I solve this
9 - 6x + 5
???????????
Answer:
x=2/3
Step-by-step explanation:
so if you are look for x its 2/3 but if you are look for how to rewrite it its 3x=2
What operation would you use to solve the equation below for y? y - 15 = 20
Answer:
y = 35Step-by-step explanation:
[tex]y - 15 = 20 \\ y - 15 + 15 = 20 + 15 \\ y = 20 + 15 \\ y = 35[/tex]
I hope that is useful for you :)
Easy. Just take -15 to the right hand side of the equation, which will give you, y = 20+15, implies y = 35.
In order for a class trip to be scheduled, at least 30 students must sign up. So far, 23 students have signed up. Write and solve an inequality to find the least number of students that must sign up in order for the class trip to be scheduled.
Answer:
Step-by-step explanation:
30 ≤ 23 + x
7 ≤ x
What is the measure of angle QMN
Answer:
a straight line which is 180°
marking brainliest!!!!!!!
Answer:
13.50
Step-by-step explanation:
A Multiply 13.50 by 6 which equals $81.00
Question: Write a word problem that involves ratios. Discuss how you would go about solving this problem.
Answer:
A theater group has 7 boys and 19 girls. What is the ratio of girls to the entire group?
Step-by-step explanation:
One ratio problem would be:
A theater group has 7 boys and 19 girls. What is the ratio of girls to the entire group?
In order to solve this problem we would first need to calculate the total number of individuals in the theater group. We do this by adding the number of boys with the number of girls.
7 + 19 = 26
Now since we know there are 19 girls, the ratio would be 19 girls for every 26 individuals, or in ratio format it would be ... 19 : 26
Convert these numbers into Scientific Notation
Answer:
1000=1×10^3
98000=9.8×10^4
[tex]\huge\boxed{\boxed{\textbf{Hi\:there!}}}}[/tex]
First of all, when we convert numbers to scientific notation, we should recall what scientific notation looks like.
A number in scientific notation looks like that:
____x10^-
____ is the coefficient (it should always be between 1 and 10)
- is the exponent.
1,000 in Scientific notation looks like so:
10x10^2
Now, the exponent doesn't mean that we multiply 10 times 10. It means we take 10 and move the decimal point 2 units to the right (the positive exponent indicates that we move the decimal point to the right)
98,000 in Scientific notation looks like so:
9.8x10^4
[tex]\huge\boxed{\boxed{\sf{Hope\:this\:helps\:you!:)}}}[/tex]
[tex]\large\textbf{Good\:luck!}[/tex]
[tex]\large\mathfrak{LoveLastsAllEternity}[/tex]
How do you solve 9!/5! ?
Answer:
3024.
Step-by-step explanation:
9! / 5!
= 9*8*7*6*5*4*3*2*1
-------------------------
5*4*3*2*1
We can cancel out the 5*4*3*2*1 to give:
9*8*7*6
= 3024
Please help - Geometry - 15 points - One question -
If the graph below corresponds to the equation y = x2 + bx + c, what are the values of b and c?
A. b = −1,c = 2.
B. b = 2, c= −1
C. b = −1,c = −2
D. b = 1, c= −2
Answer:
C. b = -1, c = -2
Step-by-step explanation:
2 roots: x = -1 and x = 2
(x+1)(x-2) = 0
y = x² - x -2
b= -1 , c = -2
Answer:
The andswer is C b= -1 c=-2
Step-by-step explanation:
I took the quiz!!
What is the solution to the inequality 3 + 5/7x > 1 + x ?
Answer:
x<7
Step-by-step explanation:
simplify
[tex]5 \7x + 3 > x + 1[/tex]
subtract x from both sides
[tex] - 2 \7x+3>1[/tex]
subtract 3 from both sides
[tex] - 2 \7x>−2[/tex]
mulitply both sides by 7/-2
answer
x<7
A bag contains different colored jelly beans. In the bag, there are 5 red jelly beans, 3 blue jelly beans, 2 green jelly beans, and 2 yellow jelly
beans.
a. What is the probability of picking a blue jelly bean from the bag?
b. Some orange jelly beans are added to the bag. After adding these new jelly beans, the probability of picking a yellow jelly bean changes to 1/8. How many orange jelly beans were added?
Step-by-step explanation:
hope this help you have a great day!
What is 3 1/8 as a percent .
Answer:
%312.50
Step-by-step explanation:
Answer:
312.50%
(Please tell me if I'm wrong)
6. Harry deposited an equal amount into his savings account on two occasions. If he already had $450 in the account and had $565 after the deposits, how much was each deposit?
Answer:
$115
Step-by-step explanation:
Amount Harry had in the account = $450
He had $565 after the deposits.
We need to find the amount deposited by Harry.
Deposited amount = final amount-initial amount
= $565 - $450
= $115
So, each deposit is $115.
Answer:$57.50
Step-by-step explanation:
2x + 450 = 565
2x + 450 - 450 = 565 - 450
2x = 115
2x/2 = 115/2
x = 57.50
will give brailiest if you answer it correctly
Answer:
The answer is 6 by 15
Step-by-step explanation:
PLEASE HELP!!! I NEED TO HAVE THIS DONE SOON!
Answer:
A = 54 is the correct answer!
Step-by-step explanation:
I did this test too! Hope this helped!
Help me please I don’t know the answer
7 Aiden volunteers on the weekend at the central ledbury as a school project to record how many people visit the library and where it go on Saturday 487 people went to the years between 446 people went to social issues 335 what do in literacy on Sunday the library thousand three hundred total visitors Basil Hayden have recorded on Saturday about how many people should be expected to go to social issues round your answer to the nearest whole number
Answer:
487?
Step-by-step explanation:
Please help, 20 points
Which choice is equivalent to the expression below?
See picture
Answer:
does that say 7.19 or 7-19
Step-by-step explanation:
(pls answer this) (no links) (pls explain )
Answer:
2(3.5g - 4.5h)
Step-by-step explanation:
factoring the expression (i think that what its called) i divided the expression into two and then put two on teh isde of the parenthesis to show that you multiply it again
Carla roller skates 3 miles each weekday and 5 miles each day on the weekend.Which expression represents how many miles she roller skates in w weeks?
Answer:
23w
Step-by-step explanation:
For 6days, She skates 3 * 6 = 18 miles
on weekend she skates 5 miles
Thus, In one week, she skates 23miles
In w week, she skates: 23w
in this exercise we have to know conversion, so it will be necessary to correct the space in time, which will represent in weeks:
28 weeks
So first, we have to calculate the total distance traveled in every day, like this:
[tex]days: 6*3=18\\weekends: 5*2=10\\total:18+10=28[/tex]
See more about conversion at brainly.com/question/4736731