Solve the inequality: -2z - 3 < 5
Answer:
z>-4
Step-by-step explanation:
Answer:
z>4
Step-by-step explanation:
-2z-3<5
add 3 to 5: -2z < 8
divide by -2: z < -4
but since you divided by a negative number, you have to change the way the inequality is facing so the answer is z>-4
The number 299 is divided into two parts in
the ratio 5:8. The product of the numbers
(A) 21140
(C) 21160
(B) 21294
(D) 31294
What are the coordinates of E??
Answer:
(10, 1)
Step-by-step explanation:
It tells you that when you translate it you add 2 to the x-coordinate and subtract 7 from the y-coordinate. This means that the point E, (8, 8), would become (8 + 2, 8 - 7) or (10, 1).
Help!
Sarah was standing on a dock next to the ocean. She kicked a soccer ball off the dock to her friend in the water. 4 seconds after she kicked the ball it reached a height of 9 feet above the water. It hit the water 6 seconds later.
Write an equation for the path of the rock in y=a(x-h)^2+k and give the height of the dock that she kicked the ball from. Show your work!
Answer:
1) The equation for the of the ball in y = a·(x - h)² + k is;
y = -16·(x - 5)² + 25
2) The height of the dock, d = -375 feet below the water level
Step-by-step explanation:
1) The question is with regards to quadratic function representing projectile motion
The given parameters are;
The height the ball reaches 4 seconds after Sarah kicked the ball = 9 feet
The time the ball hits the water = 6 seconds after reaching the 9 feet height
The form of the quadratic equation representing the motion is given as follows;
y = a·(x - h)² + k = a·x² - 2·a·h·x + a·h² + k
Let 'x' represent the time of motion of the ball, and let 'a', represent the acceleration due to gravity, we have;
The equation for the ball, y = a·(x - h)² + k
Where;
(h, k) = The coordinates of the vertex
h = The horizontal component of the vertex coordinate = 0
Therefore, we have;
When x = 0, y = d
d = -16·(0 - h)² + k = -16·h² + k
d = -16·h² + k
When x = 4, y = 9 - d
9 - d = -16(4 - h)² + k = -16(4 - h)² + k
When x = 2, y = d
d = -16(2 - h)² + k
When x = 6, y = 9
9 = -16(6 - 5)² + k
When x = 8, y = d
d = -16(8 - h)² + k
-16(8 - h)² - (-16(2 - h)²) = 0
h = 5
From 9 - d = -16(4 - h)² + k = -16(4 - 4)² + k
d = 9 - k
9 = -16(6 - h)² + k
k = 9 + 16(6 - 5)² = 25
d = 9 - k = 9 - 25 = -16
Therefore, h = 5, k = 25
The equation for the of the ball in y = a·(x - h)² + k is therefore;
y = -16·(x - 5)² + 25
2) When x = 0, y = d, ∴ d = -16(0 - 5)² + 25 = -375 feet below the water
The height of the dock, d = -375 feet below the water level
Tyson works 34 hours each week at $20.39 per hour.
Tyson has 29.51% taken out for taxes and withholdings,
What is the net pay per year?
A $488.68
B. $10,638.21
C. $204.58
D. $25,411.31
Answer:
34 X 20.39 = 693.26
693.26 X 52 = 36049.52
100-29.51 = 70.49
36049.52/100 X 70.49 = 25411.306648
monetary value rounded 2dp = $25411.31
answer is D
Select that all apply.
Answer:
C. ASA E. AAS B. HA
Step-by-step explanation:
ASA - The Angle-Side-Angle Postulate (ASA) states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.
AAS - If two angles and a nonincluded side of one triangle are congruent to two angles and a nonincluded side of a second triangle, then the triangles are congruent.
HA - If the hypotenuse and an acute angle of a right triangle are congruent to the hypotenuse and an acute angle of another triangle, then the two triangles are congruent.
Answer:
c.asa
Step-by-step explanation:
only C. asa tgat correct answer
What is the difference between –11x – 2 and 13x + 5?
24x + 7
-24x + 7
24x + 3
-24x - 7
____________________________
1.) Find the opposite of 13x + 5:To find the opposite of 13x+5, find the opposite of each term.[tex]13x=-13x[/tex][tex]5=-5[/tex]- We do this because when solving this they are in parenthesis, so you must get rid of the parenthesis by turning them negative.
Equation at the end of Step 1:
[tex]-11x-2-13x-5[/tex]2.) Combine −11x and −13x:[tex]-11x+-13x=-24x[/tex]- We do this since we can only have on variable at the end of the problem, so you just combine them if they have the same variable base.
Equation at the end of Step 2:
[tex]-24x-2-5[/tex]3.) Subtract 5 from −2:[tex]-2-5=-7[/tex]- We do this because we need one number left over to get a simplified version of this equation.
Equation at the end of Step 3:
[tex]-24x-7[/tex]____________________________
Select the correct answer.
Which graph has a domain of x
> -3
Answer:
the answer is actually c.
Step-by-step explanation:
I took the test and you would want the line to be going to the greater value of -3 because x is greater than -3.
Hope this helps :)
Answer:
the answer is c
Step-by-step explanation:
i took the test and got it right.
A must-have for any thrill seeker is a drop tower ride. The Precipice Plummet will stand 420 feet tall. The scale in your architectural diagrams is 1":40'. How tall will your drawing of Precipice Plummet be in inches? (do not include units in your answer, just the number
The answer is 10.5, but don't put 10.5 if it's just asking for the number and not the unit only put (10)!!!
You place a 16 foot ladder against a building. The angle that the ladder forms with
the ground is 60 degrees. How far from the base of the building is the bottom of
the ladder? round to the nearest foot.
Answer:The base of the ladder should be placed so that it is one foot away from the building for every four feet of hight to where the ladder rests against the building. This is known as the 4 to 1 rule.
Step-by-step explanation:
I need help with a geometry problem
#1
[tex]\\ \tt\hookrightarrow 3x+5=1/2(2x+15+6x-37)[/tex]
[tex]\\ \tt\hookrightarrow 6x+10=8x-22[/tex]
[tex]\\ \tt\hookrightarrow 2x=32[/tex]
[tex]\\ \tt\hookrightarrow x=16[/tex]
#2
[tex]\\ \tt\hookrightarrow 7x+2+25x-14=180[/tex]
[tex]\\ \tt\hookrightarrow 32x-12=180[/tex]
[tex]\\ \tt\hookrightarrow 32x=192[/tex]
[tex]\\ \tt\hookrightarrow x=6[/tex]
Classify angle X Y Z. please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!! (Last option is Isosceles triangle) !!!!!!!!!
Answer:
its C
Step-by-step explanation:
A dog weighs 20% more than it did three months ago. It weighs 36 pounds now.
How much did the dog weigh three months ago?
Answer:
30 poundsStep-by-step explanation:
Let the weight 3 month ago be x.
20% more than x is:
1.2xWe now have the following equation:
1.2x = 36x = 36/1.2x = 30 poundsOlivia has a shoe box in the shape of a rectangular prism. She decorates 4 faces of the box,
leaving the top and the bottom without decorations. The unshaded parts of the model and
the diagram below show the parts that she decorates. What is the total area that Olivia
decorates?
5 in.
11 in.
8 in
190 square inches
440 square inches
366 square inches
256 square inches
Taking the test rn, it’s 190 square inches.
Found the answer on another site. Worked fine, hope that helps
Answer:
440
Step-by-step explanation:
I HAVE I READY TOO AND IT’S KILLING ME
What is the decimal equivalent of 1/5?
Answer:
.2
Step-by-step explanation:
Answer:
.20
Step-by-step explanation:
1 divided by 5 is .20
URGENT!!! 30 points!
What is the x-coordinate of the point that can be plotted on the graph between (6, 2) and (12, 4) that is part of this set of equivalent ratios? Choose the point which has integer values for x and y.
On a coordinate plane, the points (3, 1), (6, 2), and (12, 4) are plotted.
Answer:
Lol its 8
Step-by-step explanation:
Please help! Will Mark if you are right!!
What is the turning point of the graph of f(x)=|x−4|?
Answer:
the second one
Step-by-step explanation:
The original price of last year's gaming system was $399. It is now selling at a 24% discounted price. What is the sale price?
Answer:
$303.24
Step-by-step explanation:
399.00x24%=95.76
399.00÷95.76=303.24
the home plate at a baseball game measures 17 inches across what is the measurement in feet and inches?
a. 1 foot 7 inches
b. 1 foot 5 inches
Answer:
b. 1 foot 5 inches
Step-by-step explanation:
because one foot is 12 inches
take off discount and find the sale price of 15%off of $60.00
discount sale price
Answer:
15% off of $60.00 would be $51.00
Step-by-step explanation:
(15 x 15) / 100 = 9
60-9=51
</3 PureBeauty
Write an
explicit formula for An, the nth term of the sequence 7, -42, 252, ....
Answer:
[tex]A_n = 7(-6)^{n-1}[/tex]
Step-by-step explanation:
Key skills needed: Explicit formula, Geometric sequence
1) This is a geometric sequence, meaning a constant (like 6 or 3.5) is being multiplied to every term. First we need to find the constant.
This can be done by doing -42 ÷ 7 or 252 ÷ -42
-42 ÷ 7 equals -6.
252 ÷ -42 also equals -6.
2) This means that constant is -6.
3) The general form for an explicit formula of a geometric sequence is:
[tex]a_n = a_1(r)^{n-1}[/tex]
--> r means the constant (or common ratio) that is being multiplied.
--> [tex]a_1[/tex] means the first term
--> [tex]a_n[/tex] means the "nth" numbered term (so [tex]a_3[/tex] is the 3rd term, [tex]a_{10}[/tex] is the 10th term and so on).
--> [tex]n-1[/tex] is just the "n" in [tex]a_n[/tex] minus 1.
4) We can use this formula to create an explicit formula for the geometric sequence in the problem.
--> [tex]r = -6[/tex] (Since we got -6 as the constant/common ratio).
--> [tex]a_1 = 7[/tex] (Since 7 is the 1st term)
This means that our formula would be --> [tex]A_n = 7(-6)^{n-1}[/tex]
Hope you understood and have a nice day!! :D
14. Mrs. Buchanan is planning marching routines for the school band. The band has 36 members. Band members can march in any number of rows as long as each row has the same number of members. The marching path, however, limits members to 6 per row.
Question:
Make a list of the different arrangements that Mrs. Buchanan could use.
Answer:
[tex](x,y) = \{(1,36),(2,18),(3,12),(4,9),(6,6)\}[/tex]
Step-by-step explanation:
Given
[tex]Members = 36[/tex]
[tex]Rows\ Limit = 6[/tex]
Represent the rows with x and the column, y.
This means that:
[tex]x * y = 36[/tex]
Make y the subject:
[tex]y = \frac{36}{x}[/tex]
The list is then generated as follows:
When x = 6.
[tex]y = \frac{36}{6} = 6[/tex]
[tex](x,y) = (6,6)[/tex]
When x = 5
[tex]y = \frac{36}{5} = 7.2[/tex]
This result can not be use because the result of the number of columns must be an integer
When x = 4
[tex]y = \frac{36}{4} = 9[/tex]
[tex](x,y) = (4,9)[/tex]
When x = 3
[tex]y = \frac{36}{3} = 12[/tex]
[tex](x,y) = (3,12)[/tex]
When x = 2
[tex]y = \frac{36}{2} = 18[/tex]
[tex](x,y) = (2,18)[/tex]
When x = 1
[tex]y = \frac{36}{1} = 36[/tex]
[tex](x,y) =(1,36)[/tex]
So, the possible list is:
[tex](x,y) = \{(1,36),(2,18),(3,12),(4,9),(6,6)\}[/tex]
You are trying to decide whether to use Uber or Lyft during a vacation. Uber charges $3 to pick up plus an additional $0.25 for each mile driven. Lyft does not charge to pick up but they have a rate of $0.75 for each mile driven.
Let x = the number of miles traveled and y = the total cost for the trip.
Answer:
Uber: y = .25x + 3
Lyft: y = .75x
Step-by-step explanation:
How much is 92 quadrillion cents
I need help with this ASAP
Answer:
it is D
since 6 percent of people infected by 10 day
Chi has a big pile of nickels. He says, “Even if I use 100 of these nickels, I’ll still have 95% of my original pile.” How many nickels does Chi have?
Answer:
2000
Step-by-step explanation:5%= 100 nickels
1%= 20 nickels
20 x 100 = 2000
Answer:
2,000
Step-by-step explanation:
If 5%=100 nickels , then 20x100=the number of nickels Chi has.
20x100=2,000
Ten gallons of a 25% salt solution are to be obtained by mixing solutions that are 13% salt and 33% salt
respectively. How many gallons of each are needed?
Answer:
salt + salt = salt
0.13x +3.3-0.33x =2.5
-0.20x=-0.8
x= 4 gallons (amt of 13% solution to be mixed)
10-x= 6 gallons (amt of 33% solution to be mixed)
-----------
Cheers,
Stan H.
Step-by-step explanation:
Ben's Sports sells golf tees from a barrel by the scoop. The golf tees come in 5 bright colors mixed in the barrel. To determine what to charge for each scoop, Ben weighed 15 scoops. The weight of each scoop is shown in the line plot below. Use the line plot to answer the questions.
At the rodeo, 256 hot dogs were sold for a total of $768. If each hot dog sold for the same amount, what would be the cost of 24 hot dogs?
Answer:
$72
Step-by-step explanation:
$768/265 = $3
$3 x 24 = $72
Answer:
$72
Step-by-step explanation:
768/256 = how much each hot dog was sold for
768/256 = 3
Each hot dog was sold for $3.
24*3 = $72
Therefore, the cost of 24 hot dogs is $72.
Find the rate of change
Answer:
non linear
Step-by-step explanation:
you can see it doesnt go up a specific number each time, aka changes each time, therefor its non linear
Answer:
2
Step-by-step explanation:
Use the method
Change in output / Change in input
The input progresses by 1, and y progresses by 2.
We will plug the numbers in.
2/1
Then simplify.
2/1 = 2
Hence, the rate of change is 2.