Using the given information, the density of metal B is 8.58 g/cm³
Calculating densityFrom the question, we are to determine the density of metal B
From the given information,
55 g of metal A is combined with metal B to create an alloy with mass 90 g
∴ Mass of metal B in the alloy = 90 g - 55 g = 35 g
Now, we will determine the volume of metal A in the alloy
Using the formula,
Density = Mass / Volume
∴ Volume = Mass / Density
Volume of metal A in the alloy = 55/12.7
Volume of metal A in the alloy = 4.33 cm³
Then, we will determine the volume of the alloy
Volume of the alloy = 90/10.7
Volume of the alloy = 8.41 cm³
∴ Volume of metal B in the alloy = 8.41 cm³- 4.33 cm³
Volume of metal B in the alloy = 4.08 cm³
Now, for the density of metal B
Density = mass / volume
Density of metal B = 35 / 4.08
Density of metal B = 8.58 g/cm³
Hence, the density of metal B is 8.58 g/cm³.
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Make x the subject of the formula. y=(x-4)2+6 p.s the two is square
[tex]~~~~~~~~y = (x-4)^2 +6\\\\\implies (x-4)^2 = y-6 \\\\\implies x -4 = \pm\sqrt{y-6}\\\\\implies x = \pm\sqrt{y-6} +4[/tex]
HURRY I NEED IT FAST
15 POINTS
Solve: 3(4-2x)= -x+1 A.x=11/5 B.x=13/5 C.x=-11/7 D. x = 11
Answer:
A) x = [tex]\frac{11}{5}[/tex]
Step-by-step explanation:
3(4 - 2x) = -x + 1
Distribute on the left:
12 - 6x = -x + 1
+ x + x
12 - 5x = 1
- 12 - 12
-5x = -11
Divide both sides by -5 to get x on its own:
x = [tex]\frac{-11}{-5}[/tex]
OR
x = [tex]\frac{11}{5}[/tex]
Have a nice day!
Quincy's retirement party will cost $30 if he invites 10 guests. If there are 16 guests, how much will Quincy's retirement party cost? Solve using unit rates.
Answer:
$48
30/10 is equal to 3/1, 16 x 3 equals to 48.
Answer:$48
Step-by-step explanation:
$30/10p = $3 per person
3x6=18
18+30=48
If 8^y = 16^y+w, what is the value of Y?
Select the best answer to the problem.
Which of the following has the numbers in the right order?
A. 2, 5, 9, 7
B. 3, 5, 9, 12
C. 5, 8, 6, 10
D. 6, 9, 14, 12
triangle ABC has perimeter 22cm
AB=8cm
BC=5cm
by calculation deduce whether triangle ABC is a right-angled triangle
Answer:
the triangle is not right-angled
Step-by-step explanation:
First of all, we are told that the perimeter of the triangle is 22 and the two sides are given, 8cm and 5cm respectively. This means that the third side is: 22-(8+5) = 9cm
From this as see that 9cm is the highest length we have and if it were a right-angled triangle, this could be the hypotenuse. Now, to be sure of the initial response we use the Pythagoras theorem. We know that the hypotenuse² = adjacent² + opposite²
let's use the measurements we are given in the question
8²+5²=AC²
64+25=89
AC=√89
AC=9.433981132
AC =9.43cm
and when we add 8+5+9.43 to calculate the perimeter we get 22.43 which is not the initial perimeter, this the triangle isn't right-angled
Can the sides of a triangle have lengths 13, 5, and 16?
Answer:
Yes
Step-by-step explanation:
13 + 5 > 16
16 - 3 < 5
Yes :D
1 tablespoon is equivalent to _____ ml.
Answer:
14.787ml
for an approximate result, multiply the volume value by 14.787
hope this helps
✎ let's answer it :3
•┈┈┈••✦ answer ✦••┈┈┈•
->(14.787ml )
hope it helps
correct me if I am wrong
by #galadohannadivine29Expand the expression to yield a trinomial of the form
ax² + bx + c.
(2x + 3)²
Step-by-step explanation:
(2x + 3)(2x + 3)
4x² + 6x + 6x + 9
4x² + 12x + 9
Can someone please help me with my Question #29 of The Quadratic Relations for me please?
Answer:
Calculate the first differences between the y-values:
[tex]\sf 3 \underset{+1}{\longrightarrow} 4 \underset{+3}{\longrightarrow} 7 \underset{+5}{\longrightarrow} 12 \underset{+7}{\longrightarrow} 19[/tex]
As the first differences are not the same, we need to calculate the second differences:
[tex]\sf 1 \underset{+2}{\longrightarrow} 3 \underset{+2}{\longrightarrow} 5 \underset{+2}{\longrightarrow} 7[/tex]
As the second differences are the same, the relationship between the variable is quadratic and will contain an [tex]x^2[/tex] term.
--------------------------------------------------------------------------------------------------
To determine the quadratic equation
The coefficient of [tex]x^2[/tex] is always half of the second difference.
As the second difference is 2, and half of 2 is 1, the coefficient of [tex]x^2[/tex] is 1.
The standard form of a quadratic equation is: [tex]y=ax^2+bx+c[/tex]
(where a, b and c are constants to be found).
We have already determined that the coefficient of [tex]x^2[/tex] is 1.
Therefore, a = 1
From the given table, when [tex]x=0[/tex], [tex]y=12[/tex].
[tex]\implies a(0)^2+b(0)+c=12[/tex]
[tex]\implies c=12[/tex]
Finally, to find b, substitute the found values of a and c into the equation, then substitute one of the ordered pairs from the given table:
[tex]\begin{aligned}\implies x^2+bx+12 & = y\\ \textsf{at }(1,19) \implies (1)^2+b(1)+12 & = 19\\ 1+b+12 & = 19\\b+13 & =19\\b&=6\end{aligned}[/tex]
Therefore, the quadratic equation for the given ordered pairs is:
[tex]y=x^2+6x+12[/tex]
What are the x-intercepts of the following graph?
1
2 3 4
+
3
G
3
&
a. (0, 2) and (0, -2)
b. (0,4)
c. (2,0) and (-2, 0)
d. (1, 0) and (3, 0)
Answer:
c (2,0) and (-2,0) I hope ot helps
What is the completely factored form of f(x)=x3+5x2+16x+80 ?
Answer:
The complete factored form of the given [tex]f(x)[/tex] is [tex](x+5)(x^2+16)[/tex].
Step-by-step explanation:
Answer:
f(x)=x*3+5x+2+16x+80 y=x*3+5x*2+16x+80 x=y*3+5y*2+16y+80=8 3y+10y+16y+80=x29y+80=x29y=x-80y=1/29x-80/29 f(x)-1=1/29x-80/29
Type the correct answer in the box. use numerals instead of words. if necessary, use / for the fraction bar. find the remainder of (h4 h2 – 2) ÷ (h 3). the remainder is .
The remainder of (h4 h2 – 2) ÷ (h 3). The remainder is 88.
RemainderGiven:
(h⁴ + h² – 2) ÷ (h + 3)
Using reminder theorem
First step is to equate:
h + 3 =0
h = - 3
Second step is to determine the remainder
Substitute h = - 3 into (h⁴ + h² – 2)
Hence:
h⁴ + h² – 2 = (-3)⁴ + (-3)² - 2
h⁴ + h² – 2= 81 + 9 - 2
h⁴ + h² – 2=90-2
h⁴ + h² – 2= 88 remainder
Therefore the remainder is 88.
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Tony is interested in the favorite activities of the students in his school. He surveys all the members of the school's chess club. Did Tony survey a random sample of all the students in the school? Explain.
can someone help me find the answer for this?
Answer for number 1: d and w, or C.
Step-by-step explanation:
because the corner of d and w both are corners of an angle, obtuse. obtuse angles look like this = \_ or _/. the d and w are in those corners
A drawer contains 5 white shirts, 3 yellow shirts, and 4 black shirts. a shirt is randomly selected from the drawer and set aside. then another shirt is randomly selected from the drawer. what is the probability that the first shirt is yellow and the second shirt is black?
[tex]|\Omega|=12\cdot11=132\\|A|=3\cdot4=12\\\\P(A)=\dfrac{12}{132}=\dfrac{1}{11}\approx9.1\%[/tex]
The median of the data shown on the graph is
Answer:
Median 39,000
Step-by-step explanation:
If im lookng at this right the numbers are:
20,000, 25,000, 35,000, 39,000, 41,000, 48,000, 53,000
The middle number is:
20,000, 25,000, 35,000, 39,000, 41,000, 48,000, 53,000
Tell me if im wrong
(4-x)/(x^2-5x+4)+(2)/(x-1)=1
show all steps please!!
Answer:
[tex]x = 2, 4[/tex]
Step-by-step explanation:
Given :
[tex]\frac{4-x}{x^{2} -5x+4} + \frac{2}{x-1} =1[/tex]
=============================================================
Factorize the denominator of the first term :
⇒ x² - 5x + 4
⇒ x² - x - 4x + 4
⇒ x(x - 1) - 4(x - 1)
⇒ (x - 4)(x - 1)
============================================================
Hence, the equation now is :
[tex]\frac{4-x}{(x-1)(x-4)} + \frac{2}{x-1} =1[/tex]
============================================================
Multiply the second term by (x - 4) in the numerator and denominator :
[tex]\frac{4-x}{(x-1)(x-4)} + \frac{2(x-4)}{x-1(x-4)} =1[/tex]
============================================================
Combine the numerator of both terms and bring the denominator to the other side :
[tex]\frac{4-x+2(x-4)}{(x-1)(x-4)} = 1[/tex]
[tex]4 - x+2x-8 = x^{2} - 5x + 4[/tex]
[tex]x - 4 = x^{2} - 5x + 4[/tex]
[tex]x^{2} -5x-x+4+4=0[/tex]
[tex]x^{2} -6x+8=0[/tex]
[tex](x-4)(x-2)=0[/tex]
[tex]x = 2, 4[/tex]
Which products have the same sign as (Negative 2 and StartFraction 3 over 7 EndFraction) (Negative StartFraction 6 over 11 EndFraction)? Check all that apply. StartFraction 3 over 8 EndFraction (Negative StartFraction 6 over 7 EndFraction) 1 and StartFraction 2 over 9 EndFraction (2 and StartFraction 6 over 17 EndFraction) Negative StartFraction 9 over 20 EndFraction (3 and four-fifths) Negative one-third (Negative two-thirds)
Multiplication is the process of multiplying. The products that have the same sign as the product of -2 3/7 and -6/11 are B and D.
What is multiplication?Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
The product of two positive numbers and the product of two negative numbers both are positive while the product of a negative number and a positive number is negative. Therefore, the product of -2 3/7 and -6/11 is positive, since both are negative.
A.) 3/8 × (-6/7) = Negative
B.) 1 2/9 × 2 6/17 = Positive
C.) -9/20 × 3 4/5 = Negative
D.) -1/3 × -2/3 = Positive
Hence, the products that have the same sign as the product of -2 3/7 and -6/11 are B and D.
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Which products have the same sign as (Negative 2 and StartFraction 3 over 7 EndFraction) (Negative StartFraction 6 over 11 EndFraction)? Check all that
A political candidate has asked you to conduct a poll to determine what percentage of people support her. If the candidate only wants a 8% margin of error at a 99% confidence level, what size of sample is needed
The required sample size is equal to 273.
We have given that,
A political candidate has asked you to conduct a poll to determine what percentage of people support her.
We have to determine the If the candidate only wants an 8% margin of error at a 99% confidence level,
p=0.5 (default since no value is given)
q=1-0.5=0.5
margin of error=5%=0.05
z_c=1.65 at 90% confidence.
What is the formula for marginal error?The margin of error:
[tex]e= sqrt(p(1-p)/n)*z_c[/tex]
Use the given value in the above formula we get,
0.05=sqrt(0.5*0.5/n)*1.65
n= (0.5*1.65/0.05)^2=272.25
Therefore, The required sample size is equal to 273.
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what are the ways to determine if a relation is a function? select EACH correct answer
Answer:
the two selected are correct.
Step-by-step explanation:
A relation is a function only if it relates each element in its domain to only one element in the range. When you graph a function, a vertical line will intersect it at only one point. You can determine whether each element of the domain is paired with exactly one element of the range. For example, if given a graph, you could use the vertical line test; if a vertical line intersects the graph more than once, then the relation that the graph represents is not a function. The best way to find out whether an equation represents a function or not is by graphing the equation and then applying the vertical line test. Graph the two-variable equation on graph paper. For a straight line this means graphing two or more points on the line and connecting the dots.
i dont now this question
Answer:
x = 1Step-by-step explanation:
3x + 2 = (2x + 13)/3
9x + 6 = 2x + 13
9x - 2x = 13 - 6
7x = 7
x = 7 : 7
x = 1
Find the area of the shaded region, leave in terms of pi
Answer:
Answer:16π
Step-by-step explanation:
As we know,
Area of cicle=πr^2
=π(4)^2
=16π
wright the follwing in decimlal form:7/17
Answer:
0.41
Step-by-step explanation:
to make a fraction into a decimal you just divide the numerator by the
denominator.
and the numerator is the part of a fraction that is above the line
denominator is at the bottom
so 7 / 17 = 0.41 that means
7/17 in decimal form is 0.41
Hope This Helped
Answer:
7/17 is equal to 41176470588...
Step-by-step explanation:
This is called a never ending decimal. Hope this helps! :)
If 5^3b-1=5^b-3, what is the value of b?
Answer: -1
Step-by-step explanation:
[tex]5^{3b-1}=5^{b-3}\\\\3b-1=b-3\\\\2b-1=-3\\\\2b=-2\\\\b=\boxed{-1}[/tex]
Are the equations 18=3x-6+x and 18=4x-6 equivalent?
Answer:
Yes, they are equivalent
Step-by-step explanation:
18 = 3x - 6 + x
+6 +6
24 = 3x + x
24 = 4x
24/4 = 4x/4
6 = x
18 = 4x - 6
+6 +6
24 = 4x
24/4 = 4x/4
6 = x
Both equations are equal to x = 6, therefore they are equivalent
Answer:
Yes
Step-by-step explanation:
18 = 3x - 6 + x
x = 1x
Combine like terms
3x + 1x = 4x
18 = 4x - 6 and 18 = 4x - 6
They are equivalent.
Which expression is equivalent to 3(8 + 7)?
Answer:
3 • 15
Step-by-step explanation:
Add 8 and 7 to factor out the equation, creating an equivalent expression.
Suppose that y varies directly with x and inversely with z, and y = 4 when x = 8 and z = 14. find z when x = 36 and y = 6. first, what is the equation of variation? y =
The value of z if x = 36 and y = 6 is 42
Direct and inverse variationSuppose that y varies directly with x and inversely with z, hence the required expression will be:
y = kx/z
If y = 4 when x = 8 and z = 14 then;
4 = k(8)/14
8k = 56
k = 7
To find z when x = 36 and y = 6, we will have:
6 = 7(36)/z
1 = 7(6)/z
z = 42
Hence the value of z if x = 36 and y = 6 is 42
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Answer:
Keep it simple. Answer:
y=kx/z
k=7
z=42
Step-by-step explanation:
Find the value of y in 4y + 2x = 8 and 2x + 5y = 14.
Answer:
y = 6
Step-by-step explanation:
4y + 2x = 8 → (1)
5y + 2x = 14 → (2)
subtracting (1) from (2) term by term will eliminate x
y + 0 = 6
y = 6
Clint is interested in making an offer on a house with hardwood floors that will need to be replaced. The hallway is 18 feet by 6 feet. The kitchen is 20 feet by 30 feet. The living room is 25 feet by 45 feet. There are two bedrooms, which measure 12 feet by 16 feet each, plus a master bedroom that is 14 feet by 20 feet. If the cost of the flooring is $5.48 per square foot, and the cost of installation is $1.49 per square foot, how much can Clint plan to spend to replace the floors
The amount of money Clint will plan to spend to replace the floors is $17404.09
How to find the cost to replace the floor?The hardwood floor is rectangular.
Therefore,
area of hallway = 18 × 6 = 108 ft²
area of the kitchen = 20 × 30 = 600 ft²
area of the living room = 25 × 45 = 1125 ft²
area of each bedroom = 12 × 16 = 192 ft²
area of master bedroom = 14 × 20 = 280 ft²
Hence,
cost of flooring per square foot is $5.48
total cost for flooring = 108(5.48) + 600(5.48) + 1125(5.48) + 192(5.48) + 192(5.48) + 280(5.48) = $13683.56
Cost of installation is $1.49 per square.
total cost of installation = 108(1.49) + 600(1.49) + 1125(1.49) + 192(1.49) + 192(1.49) + 280(1.49) = $3720.53
Total amount to replace the floor = 13683.56 + 3720.53 = $17404.09
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