Answer:
The base = 24 in
The height = 16 in
Steps:
x(x-8)/2 = 192
(x²-8x)/2 = 192
x²-8x = 192 × 2
x²-8x = 384
x²-8x-384 = 0
by using the quadratic formula, the roots are: (24, -16)
hence
x = 24
The base = 24 in
The height = 16 in
A man borrowed a sum of money from bank at an interest rate of 12%. After 1 year he paid
GHC896,000 to settle the loan and the interest. How much did he borrow from the bank?
Help Me Please.............(3)
Answer:
0
Step-by-step explanation:
The following table shows ordered pairs for a linear function x. Which one of the following equations was used to generate this table?
Answer:
b
5x+3
Step-by-step explanation:
5×3=15+4=18
5×4=20+3=23
5×8=40+3=43
5×10=50+3=53
hope this helps
please help me!!!!!! 30 points
Answer:
i believe it is c or b
Step-by-step explanation:
Answer:
y=2x+2
Step-by-step explanation:
2 is the y intercept and you get the formula y=mx+b so b=2 and m is the slope which is rise over run to get 2.
What’s the graph the line with the equation y= 1/2x+5
Step-by-step explanation:
Given
Line is [tex]y=\frac{1}{2}x+5[/tex]
Put [tex]x=0\ \text{to get y}[/tex]
[tex]\Rightarrow y=\frac{1}{2}\times 0+5\\\Rightarrow y=5[/tex]
i.e. line passes through [tex](0,5)[/tex]
Now, put [tex]y=0\ \text{to get x}[/tex]
[tex]\Rightarrow 0=\frac{1}{2}x+5\\\Rightarrow x=-10[/tex]
i.e. line passes through [tex](-10,0)[/tex]
Join these two points to get the line
Tammy Ray purchases 20 file cabinets for $986.99. What is
the price per cabinet?
Answer:
49.34Step-by-step explanation:
986.99/20=49.3485
Divide 986.99 by 20 which gets you 49.3485 then just around up the 10.
Hope this helps! Have a great day. Remember your amazing and you got this! Alycia <3
Oliver is working with square tiles that are 3/4 inch on each side. What is the area of each tile?
Answer:
the area should be 3/4
Step-by-step explanation:
What is the y-intercept Of the function Represented by the table of values belowX -2 1 2 4 7 y 15 6 3 -3 -12
Given:
The table of values.
To find:
The y-intercept of the given function.
Solution:
The table of values represents a linear function because the rate of change is constant.
Consider any two points from the given table. Let the two points are (-2,15) and (1,6). Then the equation of the linear function is
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
[tex]y-15=\dfrac{6-15}{1-(-2)}(x-(-2))[/tex]
[tex]y-15=\dfrac{-9}{1+2}(x+2)[/tex]
[tex]y-15=\dfrac{-9}{3}(x+2)[/tex]
[tex]y-15=-3(x+2)[/tex]
Adding 15 on both sides, we get
[tex]y=-3x-6+15[/tex]
[tex]y=-3x+9[/tex]
Putting x=0, we get
[tex]y=-3(0)+9[/tex]
[tex]y=0+9[/tex]
[tex]y=9[/tex]
The y-intercept is 9. Therefore, the correct option is C.
Answer: this is correct
Step-by-step explanation:
From turning this assignment in this is correct
What is the circumference of a circle whose diameter is 5.7 ft? Use 3.14 for pi . Round your answer to the nearest tenth and enter it in
the box
Answer:
C≈17.91
Step-by-step explanation:
Answer:
17.91
Step-by-step explanation:
Someone help and explain, please :(
How many lines of symmetry does the flower
have?
Answer:
6
Step-by-step explanation:
Each line can be placed directly in the middle of each pedal and continues down to middle of pedal across from it and same thing for the divit in between each pedal
The number of lines of symmetry does the flower have is to be considered as the 6.
Calculation of the number of lines of symmetry:In terms of geometry, symmetry refer to the balanced and proportionate similarity that should be found in two halves of an object. It represents one-half to be the mirror image of the other half.
So here we can see that there are 6 parts so here the number of lines of symmetry should be 6.
Learn more about symmetry here: https://brainly.com/question/24335111
What is the Domain, Range, and the vertex for this graph?
Answer correctly pls. I will give brainliest.
Answer:
Step-by-step explanation:
Answer:
Vertex is 3,1
Domain is 0<x<6
Range is : -9<x<1
Step-by-step explanation:
In how
many ways can the letters of the word TABLE be arranged
so that the vowels are always together and seperated
Answer:
48 ways
Step-by-step explanation:
Treat the vowels as 1 unit by itself which in this case is A & E.
Imagine filling in 4 slots:
_ _ _ _ , since A&E are treated as 1 letter.
Thus we have 4 ways to fill in 1st slot, 3 ways for 2nd, 2 for 3rd and 1 for last.
which makes 4 * 3 * 2 * 1 = 24.
However, do note A&E can be arranged as AE or EA meaning,
we need to multiply by 2 factorial.
24 * 2 = 48
(I ready) help plz i need you!!Fill in the blanks to explain how bog bodies can tell us a lot about the past.
Option 1: rulers,mummies, scientists
Option 2: buried, preserved, wrapped
Option 3: killed, discoursed, removed
Option 4: everyone, workers, kings,
Answer:
option 3 is killed and option 4 is I think it's everyone I think its that though hopefully this helped you.☺️
Answer:
Hey!
I think these might be the answers:-
Bog bodies are mummies. Some are so well preserved that you can see hair on their arms. One bog body, Cashel Man, had severe injuries. This told the scientist that he had been killed. Cashel Man lived during the Bronze Age. This told scientists that Bronze Age people buried kings in bogs.
Colton has $2400 in his savings account. It earns 3.5% interest each month. How much money does Colton have in his bank account after one month?
Answer:
$2407
Step-by-step explanation:
It this right PLZ HELP!!
Answer:
Yes it is true!
Step-by-step explanation:
Solve using substitution
y = 5x– 1
y = 3 + 5
Answer:
(9/5, 8)
Step-by-step explanation:
y = 3 + 5
y=8
y = 5x– 1
8=5x– 1
9=5x
x=9/5
(9/5, 8)
A bin contains seven red chips, nine green chips, three yellow chips, and six blue chips. Find the probability of drawing a yellow chip, not replacing it, and then choosing a blue chip.
Group of answer choices
a.) 3/100
b.) 9/625
c.) 3/200
d.) 18/625
Answer:
a) 3/100
Step-by-step explanation:
There are 25 total chips
P(Yellow) = 3/25
With no replacement P(Blue) = 6/24 = 1/4
Multiply 3/25* 1/4= 3/100
help pls ill give extra points : )
Answer:
$2.20 per kg
Step-by-step explanation:
divide 6.60 by 3 to get the answer
Answer:
$2.20
Step-by-step explanation:
Take the price and divide it by the amount.
6.60/3 = 2.2
Therefore, the unit price is $2.20 per kilogram.
quizizz thx 10 pts each brainiest guaranteed with pic
Answer:
option B
polynomial cannot have negative power
hope it helps
50 to 75 percent increase?how do i solve this?
(2,11) and (-3,6) slope we need to find b and write equations
Answer:
Step-by-step explanation:
(2,11)(-3,6)
-3-2/6-11
-5/-5
m=1
y=mx+b
11=1(2)+b
11=2+b
b=9
y=x+9
b—> 9
Slope: 1 (The y value increases the same amount as the x.)
The diagram represents a dilation with a center at P. If the scale factor of e dilation is K, which statement about the diagram is true?
Answer:
C is correct. If the scale factor is greater than 1, the image is an enlargement. The segment UT could be an enlargement of the segment ST.
Step-by-step explanation:
A. If > 1, then the image of could be .
B. If 0 < < 1, then the image of could be . ( If the scale factor is between 0 and 1, the image is a reduction )
C. If > 1, then the image of could be .
D.If = 2, then the image of is itself.
A is not correct. If the scale factor is between 0 and 1, the image is a reduction.
B is not correct. If the scale factor is between 0 and 1, the image is a reduction.
C is correct. If the scale factor is greater than 1, the image is an enlargement.
D is not correct. If the scale factor is 1, the figure and the image are congruent.
The dilation factor for triangle PST (K₁) is less than that of triangle PUV (K₂).
What is scale factor? How it is used in Dilating sides?Scale factor tells us by how much one quantity is greater than the other. It is denoted by K. Mathematically → K = a/b.Rewriting, we get → a = Kb.If a side length [a] of any 2 - D figure is dilated by a scale factor of [k], then the length of new side will be [Ka].Given is a diagram that represents a dilation with a center at {P}. The scale factor of the dilation is {K}.
The dilation factor for triangle PST (K₁) is less than that of triangle PUV (K₂).
Therefore, the dilation factor for triangle PST (K₁) is less than that of triangle PUV (K₂).
To solve more questions on dilation, visit the link below-
brainly.com/question/13439872
#SPJ5
Find the measure of the missing angle
60°
90°
65°
25°
5x + 2y =17
3x +2y=13
Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 125 millimeters, and a standard deviation of 7
millimeters.
If a random sample of 44 steel bolts is selected, what is the probability that the sample mean would be greater than 127.1 millimeters? Round your
answer to four
decimal places
Answer:
P(X > 127.1) = 0.0233
Step-by-step explanation:
We are given;
Population mean; μ = 125 mm
Sample mean; x¯ = 127.1 mm
Sample size; n = 44
Standard deviation; σ = 7 mm
Formula for test statistic is;
z = (x¯ - μ)/(σ/√n)
z = (127.1 - 125)/(7/√44)
z = 2.1/1.0553
z = 1.99
From z-table attached;
P(X > 127.1) = P(z > 1.99) = 1 - 0.97670 = 0.0233
Pls help! Thank you!
Answer:
no thank you
Step-by-step explanation:
put on 0
Li is comparing 43.94 and 43.52. Which place value should she use to compare the two numbers?
tens
hundredths
O tenths
ones
rearrange U=1/2KX2 make x the subject
= 1/2kx2
U = potential energy of a spring at a certain position
k = the spring constant, specific to the spring, with units N/m.
x = distance the spring is stretched or compressed away from equilibrium
Potential Energy: Elastic Formula Questions:
1) A spring, which has a spring constant k = 7.50 N/m, has been stretched 0.40 m from its equilibrium position. What is the potential energy now stored in the spring?
Answer: The spring has been stretched x = 0.40 m from equilibrium. The potential energy can be found using the formula:
U = 1/2kx2
U = 1/2(7.50 N/m)(0.40 m)2
U = 0.60 N∙m
U = 0.60 J
a catering service offers 4 appetizers 8 main courses and 3 desserts
Oh, cool! I would love all that food. Food is life.
What was the question though?