Answer:
149 feet
Step-by-step explanation:
you have a quadratic equation and you need to fid it's vertex because that is the max height
h(t)= -16t² +96t +5
the x coordinate of the vertex is x= -b/2a for f(x)= ax²+bx+c so in our case
x= [tex]\frac{-96}{2*(-16)}[/tex]= 3 , now we know that the vertex bbelongs to the graph so should verify the equation so we substitute t of the value of x=3 to find y
y= -16*3²+96*3+5= -144+288+5=149
the max height is the coordinate of y because it tels us how much it went up
Which should be the first step in solving the equation 1.2 w minus 3.8 = 12.4? Add 3.8 to both sides of the equation. Subtract 1.2 from both sides of the equation. Multiply both sides of the equation by 1.2. Divide both sides of the equation by 3.8.
Answer:
Add 3.8 to both sides of the equation.
Step-by-step explanation:
12w−3.8=12.4
Add 3.8 to both sides.
12w=12.4+3.8
Add 12.4 and 3.8 to get 16.2.
12w=16.2
Divide both sides by 12.
w= 12/16.2
Expand 12/16.2 by multiplying both numerator and the denominator by 10.
w= 162/120
Reduce the fraction 162/120 to lowest terms by extracting and canceling out 6.
w= 27/20 also equal to 1.35
Answer:
A
Step-by-step explanation:
Two column proof that can include CPCTC, HL, or any angle postulates
Step-by-step explanation:
Given:∠3 ≅ ∠4BX ≅ AYBW ≅ AZProve: ΔWTZ is isoscelesSolution:m ∠WBX = 180° - m ∠3
m ∠ZAY = 180° - m ∠4
∠WBX ≅ ∠ZAY as ∠3 ≅ ∠4 and 180° - m ∠3 = 180° - m ∠4BX ≅ AY, givenBW ≅ AZ, givenΔWBX ≅ ΔZAY as per SAS postulate
∠W ≅ ∠Z as corresponding angles of congruent triangles
As per above the triangle WTZ is isosceles
help pls I really need it
Answer:
20(n + 10)
20n + 200
Step-by-step explanation:
We can write two expressions for the area of the figure by treating the figure as one whole rectangle, and also as two different rectangles in one.
The two expressions are as follows:
Expression of Area as one whole rectangle:
Area of a rectangle = length × width
Length = (n + 10) ft
Width = 20 ft
Area = (n + 10)× 20 = 20(n + 10)
Area of rectangle as two rectangles in one piece:
Area of the larger rectangle = length × width = n × 20 = 20n
Area of the smaller rectangle = length × width = 20 × 10 = 200
Total area = 20n + 200
Ruby drank 4/5 liter of water Monday before jogging.She drank 2/3 liter of water after her jog.How much water did Ruby drink altogether?
Answer:
22/15, or Liters of Water
Step-by-step explanation:
First find a Common Denominator, which in this case would be 15. But, you have to make the numerators numbers that can be with the new common denominator, so multiply 2*5, and that's 10, and 4*3, which is 12. Since the problem is asking you to find out how much water she drank in total, you can just add the numbers up since the denominators the same. So with the new numbers 10/15, add that with 12/15, and you get 22/15. At this point you can either keep it as 22/15, or you can make it into a mixed number of 1 7/15 as your final answer.
solve compound inequality x ≥ -3 or x < 3
Answer:
Step-by-step explanation:
Compound Inequalities is a method to find the variable value for the given compound inequalities. The two inequalities would be joined by the word 'and' or 'or'. It is presented in a number line. When the arrow points away from each other in the number line, then the inequalities are joined by 'and', if arrow points on same direction ...
Change 3 minutes 12 seconds to seconds?
Answer:
192
Step-by-step explanation:
Answer:
192 BECAUSE 3 MIN = 180 SECONDS + 12 SECONDS = 192 SECONDS
Step-by-step explanation:
This is a question on me homework and me need help so plz help
The middle five in 0.555 is 10 times the value of the 5 to its?
Answer:
yes
Step-by-step explanation:
pls help ! will give brainliest ! the pattern of numbers below is a geometric sequence 2, 10, 50, a, b, c, ... find the values of a b and c
a=250 ,b=1250, c=6250
brainliest?
Need help with fractions? Comment here if you need help :) I would love to help. This is Math subject. Please don't report. I'm just trying to help :)
Answer:
yeah what is 122×321???
It's really nice of you to help people when they're struggling with their subjects. You're a smart person! Stay positive and stay safe during this pandemic! Have a beautiful splendid day!!!
what is the value of x in the eqation 5x+3=4x
Answer :x=-3
Step-by-step explanation:Solve for x by simplifying bothh sides of the equation then isoolating the variable
Answer:
x = -3
Step-by-step explanation:
5x + 3 = 4x
5x = 4x - 3
5x - 4x - 3
x = -3
Can you guys help me please and thank you.
Answer:
Y intercept is 3 (the first one)
Step-by-step explanation:
Lara created a 15-pound platter of three different types of cookies for a banquet. The peanut butter cookies sell for $2 per pound, the sugar cookies sell for $3 and the chocolate chip cookies sell for $3.60 per pound. The entire platter is worth $40. The quantity of peanut butter cookies was 3 more than chocolate chips. How many pounds of each cookie was there. Answered with a chart.
Answer:
peanut butter cookies:8
sugar cookies:2
chocolate chip cookies:5
ratio: 4:1:2.5
Step-by-step explanation:
x=peanut butter cookies
y=sugar cookies
a=chocolate chip cookies
40=2x+3y+3.6a
15=x+y+a
x=a+3
15=(a+3)+y+a
y=12-2a
40=2(a+3)+3(12-2a)+3.6a
a=5
x=8
y=2
What is the hexadecimal conversion of the decimal number 224?
Answer:
This is a little confusing to me this question but I think its "E0"
Step-by-step explanation:
a) Divide 224 by 16 and then separate what is on the left and right side of the decimal point.
b) Multiply the right side of the decimal point by 16 (and convert to hex if neccessary) and keep that number to the side.
c) Divide the left side of the decimal point by 16 and separate what is on the left and right side of the decimal point.
d) Repeat step b and c above until the value on the left side is 0.
e) Then simply enter the numbers you got in step b in reverse order to get the answer.
Following the instructions above, your math should look like this:
224 / 16 = 14
0 x 16 = 0
14 / 16 = 0.875
0.875 x 16 = E
Thus, 224 decimal converted to hex is as follows:
E0
*
Solve this system of equations: 2x+3y =12 12y=48-8x
(3,2)
O (6,0)
no solution
infinitely many solutions
Answer: (3,2)
Step-by-step explanation: x=-3/2y+6
2x+3y=12
Step 1: Add -3y to both sides.
2x+3y+−3y=12+−3y
2x=−3y+12
Step 2: Divide both sides by 2.
2x/2=-3y+12/2
i'm not finna do a whole tutoring session today, it make long explanations
Evaluate the following expression if x =6
3x-8
Which equation has a slope of -3/4 and goes through the point (-3,4)?
Answer:
Step-by-step explanation:
First write a point-slope equation y−y1=m(x−x1) , where (x1,y1) is the given point, (4,2) , and m is the slope, −3 . For graphing, you can convert to the slope-intercept form, y=mx+b , by solving for y , where m is the slope and b is the y-intercept.
5)
The completely factored form of
2dº +6d-18d - 54d is
Answer:
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Step-by-step explanation:
pls help solve for z
Answer:
where is the work
Step-by-step explanation:
fdcaccge so tsf
Answer:
Step-by-step explanation:
z/m - z/n = 1 Take out z as a common factor.
z (1/m - 1/n) = 1 Find the common denominator of the 2 fractions
m * n is the common denominator. Multiply the two fractions by mn
z (n - m)/mn = 1 Multiply by mn
z (n - m) = mn Divide by n - m
z = mn/(n - m)
The last line is your answer.
Can someone help solve this please ?
Answer:
it's the third one bc I got it right
1.What is the length of the altitude of an equilateral triangle with side lengths of 34 inches?
2. The bottom of a ladder must be placed 10 feet from a wall and reach a height of 16 feet. How long is the ladder?
I need help pls
Answer:
Step-by-step explanation:
Remark
Question One
It's equilateral. All three sides are equal. The base is 34 as well. So two right angles can be formed on the base by dropping the altitude from the top vertex.
Givens
altitude = h
a = 34/2 = 17
hypotenuse = 34
Formula
a^2 + h^2 = c^2
Solution
17^2 + h^2 = 34^2
289 + h^2 = 1156
h^2 +289 =1156
h^2 = 1156 - 289
h^2 = 867
sqrt(h^2) = sqrt(867)
h = 29.444
==============
Question Two
Givens
b = 10 feet
c = ?
height = h = 16
Formula
c^2 = b^2 + h^2
Solution
c^2 = 10^2 + 16^2
c^2 = 100 + 256
c^2 = 356
sqrt(c^2) = sqrt(356)
c = 18.87
What is the perimeter of the figure?
10 in
19 in
11 in
17 in
Answer:
57
Step-by-step explanation:
10+19+11+17=?
29+11+17=?
40+17=?
57
Answer:
57 inches
Step-by-step explanation:
17in + 19in +10in +11in = 57inches :)
PART III
You operate a local mortgage & loan business with two other partners. Your role is to adjust
the prime interest rate for variable & fixed mortgages for your customers, as well as deal
with the length of a mortgage.
1. A client comes in looking to apply for a mortgage, but does not have any prior knowledge.
Answer the following questions to help them decide which type of mortgage to get.
(a) At most banking institutions, there are two types of mortgages available: fixed
mortgages and variable mortgages. Describe the difference between the two main
types of mortgages. Give one positive and one negative aspect of each type of
mortgage
(b) Banks will often advertise interest rates using the terminology prime plus/minus
percent. For example, if prime is 1.5%, then 2.5% might be advertised as prime plus
1%. Express 1.45% and 4.35% using the terminology of prime plus/minus percent
using Canada's current prime interest rate.
2. How many years will it take for your client to pay off a mortgage of $250,000 if he makes
month-end payments of $1,500? Assume a fixed interest rate of prime minus 0.5% over
the term of the whole mortgage. You may answer either by hand, or using the calculators
TVM buttons. If you use the calculator, ensure you write down all of your inputs for
full marks. No time diagram is necessary.
3. Your client borrows $250,000 and agrees to pay $1,500 at the end of every month for
a 5-year term. At the end of years, there is $200,000 remaining on the mortgage.
Use the calculator's TVM buttons to determine the fixed interest rate on this mortgage
(you will be unable to do this any other way). Write down all of your inputs, paying
careful attention to negative signs, for full marks. Express your final answer using prime
plus/minus terminology. No time diagram is necessary
Answer:
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Manny is deciding between two packages of yogurt. YoFruit costs $4.48 for 16 ounces. Yummy Yogurt costs $2.64 for 8 ounces. How much more does Yummy Yogurt cost per ounce?
I NEED HELP NOW!!!!!!!!
Answer:
38 cents per ounce
Answer: $0.05
Step-by-step explanation:
8. Identify the mapping diagram that represents the relation and determine whether the relation is
a function.
(-5,-4), (-1,5) (-5,3),(7,8)
Answer:
Well, you didn't give a picture of the available mapping diagrams, so I can't tell you that. However, I CAN tell you that the relation is not a function.
Step-by-step explanation:
A function occurs when each input only has one output. For example if the input is 5, it can only give 1 y-value out. It cannot give 2,3,4...etc values. This relation is not a function because -5 maps to both -4 and 3. That's one input to two outputs, which breaks the rules of a function.
help me with math plsssssssssssss
Please solve both for me
Answer: 21.5
Step-by-step explanation:
Subtract it all
3x?=90 Can somebody please help me
Answer: 30
Step-by-step explanation:
3 x 30 = 90
Hope this helps!!
Answer:
x = 30
Step-by-step explanation:
3x = 90
Divide both sides by 3.
x= 3/ 90
Divide 90 by 3 to get 30.
x=30
Classify the triangle shown below. Check all that apply.
equilateral and acute
Answer:
A, E, F
equilateral, acute, and isosceles
Step-by-step explanation:
What is 45 mi/h=__ ft/s
Answer:
66 ft/s
Step-by-step explanation:
45 miles per hour = 66 feet per second