Answer:
total area of compound ABCDEF=36cm³
x(x-4)+(x-2)(2x+x)=36cm³
x²-4x+2x(x-2)+x(x-2)=36cm³
x²-4x+2x²-4x+x²-2x=36cm³
4x²-10x=36cm²
4x²-10x-36=0
2(2x²-5x-18)=0
2x²-5x-18=0÷3
2x²-5x-18=0proved.
2x²-(9-4)x-18=0
2x²-9x+4x-18=0
x(2x-9)+2(2x-9)=0
(2x-9)(x+2)=0
either
x=-2(negleted)
or
x=9÷2=4.5cm
One of these students is chosen at random What is the probability that this student went to Paris
Answer:
1/how ever many students are going to Paris
Step-by-step explanation:
What is the length of WT?
Answer:
I think is 20
opcion 2 ......
please solve for x and explain every step in detail!!! it’s urgent
Answer:
[tex] x = zk + z + \mu[/tex]
Step-by-step explanation:
[tex] z = \frac{x - \mu}{k + 1} \\ \\ z(k + 1) = x - \mu \\ \\ z(k + 1) + \mu =x \\ \\ \red{ \bold{ x = zk + z + \mu}}[/tex]
[please help im studying for my test and i dont understand how to do this]
Answer:
77.5 or 76
Step-by-step explanation:
You add all the sides together, since 7.75 is at the bottom, it'd also be at the top.
si el area del cuadrado es de 80 m cuanto vale la m
Answer:
El lado del cuadrado es de 20 my el área del cuadrado es de 400 metros cuadrados. Paso a paso ... El perímetro de un cuadrado es 80 m. ¿Cuál es la longitud de cada lado del cuadrado ... Para celosía & lt; L, * & gt; si a, b, ce L thena + (a e b) = a se llama.
Step-by-step explanation:
A scientist wants a 64 milliliter acid solution with a concentration of 8%. She has concentrations of 2% and 10%. How much
of each solution must she use to get the desired concentration?
Answer:
16 milliliters of 2% solution
48 milliliters of 10% solution
Step-by-step explanation:
x = 2% solution
y = 10% solution
System of Equations:
x + y = 64
.02x + .10y = 64(.08)
use Substitution: y = 64 - x
.02x + .10(64 - x) = 5.12
.02x + 6.4 - .10x = 5.12
-.08x = -1.28
x = 16
y = 64 - 16 which equals 48
Which table represents the relationship between the x-values and the y-values in the equation y = -5x + 1?
Answer:
x=0 the value of y is 1/1 so this line cuts the y axis at y=1.00000. y=0 the value of x is 1/5 our line therefore cuts the axis at x=0.20000
Help ASAP WILL DO BRAINLIEST!!! simplify
Answer: 76x+97/56
Step-by-step explanation:
Answer:
76x + 97
_______
56
Step-by-step explanation:
Simplify the expression.
21 + 49 divided by 7 + 1
Answer:
60 divided by 8
Step-by-step explanation:
60 divided by 8
A cube with a volume of 64 cubic meters is scaled by a factor of 5. What is the volume of the
modified cube in cubic meters?
Answer:
8,000 m^3
Step-by-step explanation:
The computation of the volume of the modified cube in cubic meters is shown below:
Given that
Volume = 64 m^3
So each side would be
= ∛64
= 4
Now each side is scaled by 5 so each side would be
= 4 × 5m
= 20m
Now the volume of the modified cube is
= 20^3
= 8,000 m^3
Answer:
8,000
Step-by-step explanation:
When the sides of the cube are scaled by a factor of k, the volume increases by a factor of k3. Here, the new volume is 64 cubic meters × 53 = 8,000 cubic meters.
Jordan types at a constant rate of 40 words per minute. the number of words typed, y, is a function of the number of minutes spent typing, x. which equation models this situation
A. y=x/40
B. y=40/x
C. y=40x
D. y=x+40
part B
yse the equation you choose from part A to determine the number of words Jordan types in 7.5 minutes.
Jordan types _________ words in 7.5 minute
Answer:
It’s C
And I think is c
The sum of two numbers is 57 . The smaller number is 17 less than the larger number. What are the numbers?
Answer:
two numbers are 37 and 20
Step-by-step explanation:
x+y=57
let x be the smaller number
y=x+17
x + x+17=57
2x=57-17
2x=40
x=20
y=x +17
y=20+17
y=37
Which two terms can be combined in this expression?
6 + 3.2 m + two-fifths n minus StartFraction m over 5 EndFraction
6 and 3.2 m
3.2 m and Negative StartFraction m over 5 EndFraction
Two-fifths n and Negative StartFraction m over 5 EndFraction
6 and Negative StartFraction m over 5 EndFraction
Answer:
Your answer would be B. 3.2m and -m/5
Step-by-step explanation:
I did the test on edge and I got it right
Answer:
The person above is correct!
Step-by-step explanation:
Please answer thank you!!!!!
Answer:
i7x+×52=/67, hope this helps!!!!
Please help if you can!!!!!!
Answer:
Perpendicular
One method for estimating the availability of office space in large cities is to conduct arandom sample of offices, and calculate the proportion of offices currently being used. Suppose that realestate agents believe that p = 0.70 of all offices are currently occupied, and decide to take a sample toassess their belief. They are considering a sample size of n = 40.a)
a. Show that this sample size is large enough to justify using the normal approximation to thesampling distribution of p.
b. What is the mean of the sampling distribution of p if the real estate agents are correct?
c. What is the standard deviation of the sampling distribution of p if the real estate agents arecorrect?
d. If the real estate agents are correct, what is the probability that a sample proportion, p,would differ from p = 0.70 by as much as 0.05?
Answer:
a) Since np >= 5 and n(1-p) >= 5, the approximation is justified
b) 0.7
c) 0.0725
d) 0.5098 = 50.98% probability that a sample proportion, p,would differ from p = 0.70 by as much as 0.05
Step-by-step explanation:
We use the normal distribution and the central limit theorem to solve this question.
Normal probability distribution
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
In this question, we have that:
[tex]p = 0.7, n = 40[/tex]
a. Show that this sample size is large enough to justify using the normal approximation to thesampling distribution of p.
We need that: np >= 5, n(1-p) >= 5. So
np = 40*0.7 = 28 > 5
n(1-p) = 40*0.3 = 12 > 5
Since both conditions are satisfied, the approximation is justified.
b. What is the mean of the sampling distribution of p if the real estate agents are correct?
This is [tex]\mu = p = 0.7[/tex]
c. What is the standard deviation of the sampling distribution of p if the real estate agents are correct?
This is [tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.7*0.3}{40}} = 0.0725[/tex]
d. If the real estate agents are correct, what is the probability that a sample proportion, p,would differ from p = 0.70 by as much as 0.05?
This is the pvalue of Z when X = 0.7 + 0.05 = 0.75 subtracted by the pvalue of Z when X = 0.7 - 0.05 = 0.65. So
X = 0.75
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.75 - 0.7}{0.0725}[/tex]
[tex]Z = 0.69[/tex]
[tex]Z = 0.69[/tex] has a pvalue of 0.7549
X = 0.65
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.65 - 0.7}{0.0725}[/tex]
[tex]Z = -0.69[/tex]
[tex]Z = -0.69[/tex] has a pvalue of 0.2451
0.7549 - 0.2451 = 0.5098
0.5098 = 50.98% probability that a sample proportion, p,would differ from p = 0.70 by as much as 0.05
-3 + x ≤ -11
a)x ≤ -8
b)x ≤ 8
c)x ≥ -8
d)x ≥ 8
Answer:
a) x ≤ -8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityStep-by-step explanation:
Step 1: Define
-3 + x ≤ -11
Step 2: Solve for x
[Addition Property of Equality] Add 3 on both sides: x ≤ -8Here we see that any value x smaller than or equal to -8 would work as a solution to the inequality.
Based on the piecewise graph, which is the domain?
z varies jointly as x and y. z=60 when x=5 and y=6. find z when x = 7 and y=3
Answer:
z = 42
Step-by-step explanation:
The question can be answered in 2 steps as follows:
Step 1: Calculation of the constant of the variation
The equation for the joint variation can be given as follows:
z = cxy ................... (1)
Where;
z = 60
c = constant = ?
x = 5
y = 6
Substituting the values into equation (1) and solve c, we have:
60 = c * 5 * 6
60 = c * 30
c = 60 / 30
c = 2
Step 2: find z when x = 7 and y = 3
Since from Step 1 c = 2, we now use equation (1) and substitute the values into it to find z as follows:
z = 2 * 7 * 3
z = 42
Expression A: 3x + 4
Expression B: 2+ 3x + 2
Which statement can be used to show that these expressions are equivalent?
A. The expressions name the same number regardless of the value
of x.
B. Both expressions involve addition,
C. Each expression includes the term 3x.
D. 3x + 4 can be rewritten as 2 + 3x + 2 using the distributive
property
Answer:
D.
Step-by-step explanation:
3x + 4 is another way of writing 2 + 3x + 2, if you add the 2's together you get a four (3x + 4).
The perimeter of a rectangle is 370 m. The length of the rectangle is 65 m. How wide
is the rectangle?
Answer:
120
Step-by-step explanation:
370m - (65 x 2) = 240
240 divided by 2 = 120
hello can anyone help me please
Answer:
5.3 to the 4th power :)
Step-by-step explanation:
Find the inverse of y=-3x+6
Answer:
y = (x – 6) / -3 = [2 – x/3]
Step-by-step explanation:
y = f(x) = -3x + 6
f⁻¹(x) → x = -3y + 6 → (x – 6) / -3 → x / -3 + -6/-3 → -x / 3 + 2 → 2 – x/3
If it is completely impossible to put a contract in writing, which of the following would be the best substitute?
a. having a friend witness the verbal agreement
a video or audio recording of the verbal agreement
the words "I promise" spoken in a verbal recitation of the contract
d. a firm hand-shake between all those involved in the contract
C.
Please select the best answer from the choices provided
Answer:
B
Step-by-step explanation:
Because the the contract will be in verbal form. no matter if it is videotaped or recorded or both a "videoed verbal contract" not just written. so like paper thst is notarized or not this is still the same bc the the same rules apply the contract is still valid. the rest of the options are more like what they call gentlemens agreements which would be the handshake type of thing. and no matter what any agreement someone has to witness the transaction or contract. so definitely the answer is B
4+8= 2 x (6-3)
Can somebody help me ASAP
Answer: 12≠6
False
Step-by-step explanation:
How much water do you add to make 12% sugar syrup using 5g sugar.
Answer:
You know that 5 g of sugar form 12%. Let x g be the amount of water needed. The total amount of syrup will be x+5 g. Then
5 g - 12%,
x+5 g - 100%.
mathematically you can write a proportion;
5/x+5=12/100
=>500=12(x+5)
,500=12x+60
,12x=400,
x=440/12
=110/3
=36 2/3g of water36.66 grams of water is added to make 12% sugar syrup using 5g sugar.
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Let the amount of water is added be 'x'.
Amount of sugar = 5 g
We need to make 12% of sugar syrup.
x grams of water is added to 5 g of sugar, to 12% of sugar syrup.
5/5+x=12/100
Apply cross multiplication
5×100=12(5+x)
500=60+12x
Subtract 60 from both sides
440=12x
Divide both sides by 12
x=36.66
Hence, 36.66 grams of water is added to make 12% sugar syrup using 5g sugar.
To learn more on Ratios click:
https://brainly.com/question/1504221
#SPJ2
Complete the inequality to describe the range. −2 y 5
Answer:
-2>y>5
Hope this helps
Select each equation which is equivalent to 60% of 25.
A. 0.6 • 25 = x
B. x • 1.6 = 25
C. 6/10=x/25
D.60/100 = 25/x
E. x/25 = 60/100
F.6.0 • 25 = x
PLEASE I NEED THIS NOWWWWW
9514 1404 393
Answer:
A, C, E
Step-by-step explanation:
A. 0.6 • 25 = x . . . . . a direct translation of 60% of 25 (yes)
B. x • 1.6 = 25 . . . no (means 160% of x is 25)
C. 6/10=x/25 . . . . . . the ratio of x to 25 is 60% (yes)
D.60/100 = 25/x . . . no (means 25 is 60% of x)
E. x/25 = 60/100 . . . . . the ratio of x to 25 is 60% (yes)
F.6.0 • 25 = x . . . no (no means 600% of 25)
Answer:
A, C, E
Step-by-step explanation:
3(-1.5x+2) = -5(0.5x - 0.4)
Answer:
x=2
Step-by-step explanation:
2) An $80 text book was on sale for $49.60 at the used book store. By
what percent did the book decrease in price?
Answer:
38%
Step-by-step explanation:
Original price = $ 80
Price after reduction = $ 49.60
Reduction = 80 - 49.60 = $30.40
Percentage of decrease = [tex]\frac{reduction price}{original price}*100[/tex]
[tex]= \frac{30.40}{80}*100\\\\=\frac{3040}{80}[/tex]
= 38%
Answer:
38%
Step-by-step explanation:
80x0.62=49.60