Answer: a) 236 ml b) 94.4 %
Step-by-step explanation: a) in 44 % solution there is 0.44 · 25 ml = 11 ml.
Total volume of acid is 225 ml + 11 ml = 236 ml
b) vol-% of acid is 236 ml /(225 ml + 25 ml) · 100 % = 94.4 %
The milliliters of acid that are in the resulting mixture is 236 millimeters and the percentage of the resulting mixture is acid is 94.4%.
a. The milliliters of acid are in the resulting mixture will be:
= 225 ml + (44% × 25ml)
= 225ml + (0.44 × 25ml)
= 225ml + 11ml
= 236ml
b. The percentage of the resulting mixture that is acid will be:
= [(236ml / (25ml + 225ml)] × 100
= (236ml/250ml) × 100
= 94.4%
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(06.03 MC)How is the expression (5 + y) ⋅8 described by its factors and terms?
A.) It has two factors and the factor (5 + y) has one term.
B.) It has three factors and the factor (5 + y) has one term.
C.) It has three factors and the factor (5 + y) has two terms.
D.) It has two factors and the factor (5 + y) has two terms.
The true statement about the expression (5 + y) * 8 is (d) It has two factors and the factor (5 + y) has two terms.
How to describe the expression?The expression is given as:
(5 + y) * 8
An expression represented as:
a * b
Has two factors, and the factors are a and b
This means that the expression (5 + y) * 8 has two factors
An expression represented as:
a + b
Has two terms, and the terms are a + b
This means that the expression 5 + y has two factors
Hence, the true statement about the expression (5 + y) * 8 is (d) It has two factors and the factor (5 + y) has two terms.
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Quesuon 10 of 10
Use the table to identify the values of pand q that should be used to factor x2
+ 3x - 10 as (x + p)(x + 9).
р
1
-1
2
-2
q
-10
10
5
5
p+q
9
9
-3
3
A. -2 and 5
B. -1 and 10
C. 1 and -10
D. 2 and -5
.
Answer:
(p, q) is (2, 5)
Step-by-step explanation:
Given the expression
x^2 + 3x - 10
Factorize;
x^2 + 5x - 2x - 10
x(x+5) - 2(x+5)
(x-2)(x+5)
Comparing with (x + p)(x + 9).
x+2 = x+ p
x-x+2 = p
2 = p
p = 2
Similarly;
x+5 = x+q
x-x+5 = q
5 = q
q= 5
Hence (p, q) is (2, 5)
The Wall Street Journal reported that Walmart Stores Inc. is planning to lay off employees at its Sam's Club warehouse unit. Approximately half of the layoffs will be hourly employees (The Wall Street Journal, January 25-26, 2014). Suppose the following data represent the percentage of hourly employees laid off for Sam's Club stores. 55 56 44 43 44 56 60 62 57 45 36 38 50 69 65 a. Compute the mean and median percentage of hourly employees being laid off at these stores.
Answer:
The mean percentage of hourly employees being laid off at these stores is 52.
The median percentage of hourly employees being laid off at these stores is 55.
Step-by-step explanation:
Mean:
Sum of all values divided by the number of values.
So
[tex]M = \frac{55+56+44+43+44+56+60+62+57+45+36+38+50+69+65}{15} = 52[/tex]
The mean percentage of hourly employees being laid off at these stores is 52.
Median:
Value that separate the lower 50% from the upper 50% in the sorted set.
The sorted set is
36 38 43 44 44 45 50 55
The set has cardinality 15, which is an odd number, so the median is the element at the position (15+1)/2 = 8 of the sorted set, which is 55.
The median percentage of hourly employees being laid off at these stores is 55.
Which two of these squares have the same amount shaded? A P and Q B P and S C Q and R D R and SPRQSRELEASE
Answer:
There is no picture but I think b
Step-by-step explanation:
8n^2+4n-16=-n^2 Show your work so I can get an answer
Solve the equation for
n
by finding
a
,
b
, and
c
of the quadratic then applying the quadratic formula.
Exact Form:
n
=
−
2
±
2
√
37
9
Decimal Form:
n
=
1.12950278
…
,
−
1.57394722
…
please help will give brainliest
Answer:
4
Step-by-step explanation:
The number of kids who like vanilla is 13 the number of kids who like strawberry is 9
13-9=4
hope this helps!!
Ramon's RV Sales has current assets of $1,235,500 and current liabilities of $710,150. Find the current ratio.
1.4
1.5
1.7
1.9
None of these choices are correct.
Picture Below
(i have to make this 20 characters so I'm doing this now)
Answer:
H.
Step-by-step explanation:
16x^2 is the big square area and the -10x comes from subtracting the smaller area from the big one
Answer:
H. is the answer
hope this helps
have a good day :)
Step-by-step explanation:
in △RST, ∠R is a right angle and m∠S=43∘. In △FGH, ∠F is a right angle, and m∠H=47∘ Determine whether △RST∼△FGH.
△RST∼△FGH by the AA Similarity Theorem.
△RST∼△FGH by the SAS Similarity Theorem.
△RST∼△FGH by the SSS Similarity Theorem.
The triangles are not similar.
Answer:
△RST∼△FGH by the AA Similarity Theorem.
If a quadrilateral is a rhombus, the diagonals bisect each other.
True
False
Answer: I think it is false...
What is a,b,c and d please help me
Step-by-step explanation:
Edit:
a is 18
b is 36
c is 18
d is 18 times sqr root of 3
Answers:
a = 18b = 36c = 18d = 18*sqrt(3)sqrt is shorthand for "square root"
=====================================================
Explanation:
The smaller triangle on the left is a 45-45-90 triangle (aka isosceles right triangle). One special property of such triangles is that the legs are the same length, meaning a = c. Another special feature is that the hypotenuse is exactly sqrt(2) times that of the leg.
In other words, if x is the leg length, then x*sqrt(2) is the length of the hypotenuse. That means mean a = 18 in order for the hypotenuse to be 18*sqrt(2). This then leads to c = 18 as well.
--------------
The smaller triangle on the right side has a = 18 as the shorter leg, opposite the smallest angle (30 degrees). The hypotenuse b is twice that of the short leg, and this works because we're dealing with a 30-60-90 triangle. Therefore b = 2a = 2*18 = 36.
The longer leg d is equal to sqrt(3) times the short leg, ie,
d = a*sqrt(3)
d = 18*sqrt(3)
You could use the pythagorean theorem to solve for d like so:
a^2 + d^2 = b^2
18^2 + d^2 = 36^2
d^2 = 972
d = sqrt(972)
d = 18*sqrt(3)
I skipped a bunch of steps, but you get the idea.
Which of the q-values satisfy the following inequality? :)
Answer:a
Step-by-step explanation:
Answer:
b a
Step-by-step explanation:
A circle has radius 6 cm. Suppose an arc on the circle has length 31 cm. Answer the
following:
a. The fraction of the whole circle represented by this arc is
b. The measure of the central angle defined by the arc is
degrees.
C. The area of the sector defined by the arc is
cm2. (Express answer
in terms of r or pi).
Answer:
[tex]Fraction = \frac{31}{38}[/tex]
[tex]\theta = 296.18^\circ[/tex]
[tex]Area = 29.62 \pi[/tex]
Step-by-step explanation:
Given
[tex]r = 6[/tex]--- radius
[tex]L = 31[/tex] --- arc length
Solving (a): Fraction represented by the arc
First, calculate the circumference (C)
[tex]C = 2\pi r[/tex]
So, we have:
[tex]C = 2 * 3.14 * 6[/tex]
[tex]C = 38[/tex] --- approximated
So, the fraction represented by the arc is:
[tex]Fraction = \frac{L}{C}[/tex]
[tex]Fraction = \frac{31}{38}[/tex]
Solving (b): Measure of the center angle
Using arc length formula, we have:
[tex]L = \frac{\theta}{360} * 2\pi r[/tex]
This gives
[tex]31 = \frac{\theta}{360} * 2 * 3.14 * 6[/tex]
[tex]31 = \frac{\theta}{360} * 37.68[/tex]
Make [tex]\theta[/tex] the subject
[tex]\theta = \frac{360 * 31}{37.68}[/tex]
[tex]\theta = 296.18^\circ[/tex]
Solving (c): The area of the sector
This is calculated as:
[tex]Area = \frac{\theta}{360} * \pi r^2[/tex]
So, we have:
[tex]Area = \frac{296.18}{360} * \pi * 6^2[/tex]
[tex]Area = \frac{296.18}{360} * \pi * 36[/tex]
Divide 360 and 36
[tex]Area = \frac{296.18}{10} * \pi[/tex]
[tex]Area = 29.618 * \pi\\[/tex]
[tex]Area = 29.62 \pi[/tex] --- approximated
Is the function shown in the graph one-to-one?
Yes, there exists one input for every output.
No, there exists more than one input for at least one output.
Yes, there exists one output for every input.
No, there exists more than one output for at least one input.
Please can somebody help me
Answer:
Rectangle: bh or l · w
Circle: pi(r)²
Help me pleaseeee thank you
Answer:
D
Step-by-step explanation:
Time is directly proportional to the Cost. And if you use the calculator you'll still get the answer by substituting the time into 21t
HELP ME WITH THIS PLS! MATH :)
Answer:
(-7,5)
Step-by-step explanation:
the question was cut off, but I'm assuming that you want to find the location of Denver. Looking at the coordinate plane, Denver, would sit at (-7,5) as you find what x and y values they meet up at. Hopefully this answers your question
If we are looking for the location of Dallas (that is all I see), the coordinates would be as follows.
(2,-4)
Hope this helps.
4. John wants to cover a box entirely with silver paper. How many square centimetres
of silver paper will he need if the box measures 22 cm long, 16 cm wide, and 10 cm deep?
A. 1 464 sq cm
B. 3 520 sq cm
C.4 164 sq cm
D. 5 230 sq cm
5. How many square decimetres of cardboard is needed to make a cubical soda cracker box measuring 2.5 dm on each edge?
A. 5.0 sq dm
B. 6.25 sq dm
C. 37.5 sq dm
D. 7.35 sq dm
6. Suppose you want to produce ping pong balls with 1.5 dm radius. What is the least
amount of rubber you would need if you want to produce 10 ping pong balls?
A. 262.8 sq dm
B. 272.6 sq dm
C. 282.6 sq dm
D. 286.2 sq dm
Answer:
4.
l=22cm
b:16cm
h:10cm
surface area =2(lb+bh+lh)=2(22*16+16*10+22*10)
=1464cm²
5.
a=2.5dm
area cubical soda cracker box=6a²=6*2.5²=37.5dm²
6.
r=1.5dm
area of ball=4πr²=4π×1.5²=28.27dm² per ball
for 10 bal =28.27×10=282.6dm²
For the concentric circles shown, the radius of the inner circle is 3 centimeters and the distance from the
cdge of the inner circle to the edge of the outer circle is 7 centimeters. What is the exact arca, in squarc
centimeters, of the shaded outer region?
Answer:
d
Step-by-step explanation:
Area of the inner circle = 3^2 π = 9 π
total area = 10^2 π = 100π
area of the shaded region
100π - 9 π = 91 π
The area of the shaded region is 91π square cm if the radius of the inner circle is 3 centimeters and the distance from the edge of the inner circle to the edge of the outer circle is 7 centimeters option (d) is correct.
What is a circle?It is defined as the combination of points that and every point has an equal distance from a fixed point ( called the center of a circle).
We have:
The radius of the inner circle r = 3cm
The distance from the edge of the inner circle to the edge of the outer circle = 7 cm
So the radius of the outer circle = 7+3 = 10 cm
Area of the inner circle = π(3)² = 9π square cm
Area of the outer circle = π(10)² = 100π square cm
Area of the shaded region = 100π -9π = 91π square cm
Thus, the area of the shaded region is 91π square cm if the radius of the inner circle is 3 centimeters and the distance from the edge of the inner circle to the edge of the outer circle is 7 centimeters option (d) is correct.
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Write the standard equation for the circle whose center is at (6,2) and whose radius is 2.
Answer:
[tex](x - 6)^2 + (y - 2)^2 = 2^2[/tex].
Step-by-step explanation:
In general, let [tex](a,\, b)[/tex] denote the center of a given circle. Let [tex]r[/tex] denote the radius of that circle. The standard equation for that circle would be:
[tex](x - a)^2 + (y - b)^2 = r^2[/tex].
The circle in this question is centered at [tex](6,\, 2)[/tex].
[tex]6[/tex] is the [tex]x[/tex]-coordinate of the center of this circle. [tex]a = 6[/tex].[tex]2[/tex] is the [tex]y[/tex]-coordinate of the center of this circle. [tex]b = 2[/tex].The radius of this circle is [tex]2[/tex]. Therefore, [tex]r = 2[/tex].
Hence, the standard equation for this circle would be:
[tex](x - 6)^2 + (y - 2)^2 = 2^2[/tex].
What is the surface area of the sphere below?
5
2.5
A. 1257 units2
B. 1007 units2
C. 12573 units2
O
D. cannot be determined
Here's the solution :
In a sphere,
[tex] \boxed{ \mathsf{surface \: \: area = 4\pi {r}^{2} }}[/tex]
now, let's solve :
[tex]s = 4 \times \pi \times 5 \times 5[/tex][tex]s = 100\pi[/tex]hence, correct answer is B. 100π unit²
The surface area of the sphere is 100 π unit².
The correct option is B.
What is Surface area?The area is the area occupied by a two-dimensional flat surface. It has a square unit of measurement. The surface area of a three-dimensional object is the space taken up by its outer surface. Square units are used to measure it as well.
We have,
Radius of Sphere= 5 unit
Now, the formula for Surface area of Sphere is
= 4πr²
= 4 (3.14) (5)(5)
= 4 x 3.14 x 25
= 314
= 10 π unit²
Thus, the Surface area is 10 π unit².
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Researchers surveyed 250 college students at one time. They were asked if they were taking any engineering classes and whether or not they felt depressed. If 75 students reported taking at least one engineering class and 15 of those students said they were depressed, what is the incidence of depression in this group
Answer:
the incidence of the depression is 1 ÷ 5
Step-by-step explanation:
Given that
There is 250 college students that are surveyed
In the case when 75 students reported for minimum ne engineering class
And, out of this 15 students would be depressed
We need to find out the incidence of the depression
So
= 15 ÷ 75
= 1 ÷ 5
Hence, the incidence of the depression is 1 ÷ 5
The focus of a parabola is (2, 5) and the directrix is y = 1. What is the equation of the parabola?
Answer:
y = 0.125x² - 0.5x + 3.5
Hope that this helps!
Answer:
y = 0.125x² - 0.5x + 3.5
Step-by-step explanation:
I dont know if its correct hope it helped
Find a polynomial f(x) of degree 3 that has the following zeros. -1 (multiplicity 2), 8 Leave your answer in factored form
Answer:
Ganancia neta de la ciencia y dibujos de los gobernante en la vida de las ciudadanos y ciudadanas que ah implementado la Municipalidad de tu distrito para enfrentar la pandemia de mi corazón del gobierno estás a cargo del gobierno estás a cargo
Step-by-step explanation:
Ganancia neta de la ciencia y dibujos de los gobernante en la vida de las ciudadanos y ciudadanas que ah implementado la Municipalidad de tu distrito para enfrentar la pandemia de mi corazón del gobierno estás a cargoSolve for x.
x + 1 3 4 = 2 7 8
Yeah, Kinda tired to answer this so If someone could help me out :)
Answer:
134+144
Step-by-step explanation:
just take the answer (278)- the number they give you
278-
134
144
Answer:
Solution given:
x+134=278
subtracting 134 each term
x+134-134=278-134
x=144
Can someone please help me it’s 50 questions in one hour
Answer:
B: VY = YB = YJ
Step-by-step explanation:
Looking at the options;
A) ∠VYB is not equal to ∠SJY because SJY is a straight line while ∠VYB is an angle.
B) VY = YB = YJ. This is true because they all start from Y which is the centre of the circle and they all terminate at the perimeter of the circle.
Thus,they are all equal to the radius and thus statement is true.
C) ∠SYV ≠ ∠SYB because there is no proof given that the angle of tilt is the same.
D) TX = MP = YJ is not true because TX and MP are chords which by inspection don't seem equal and neither the radius YJ appears to be equal to them.
E) ∠MJY ≠ ∠XSY because they have nothing in common in terms of angle.
PLEASE HELP ME 20 PTS
Consider the series Three-halves + three-fourths + StartFraction 3 Over 8 EndFraction + StartFraction 3 Over 16 EndFraction + ellipsis
What expression defines Sn?
S Subscript n Baseline = 3 (one-half Superscript n)
S Subscript n Baseline = three-halves (one-half Superscript n)
S Subscript n Baseline = 3 (1 minus one-half Superscript n)
S Subscript n Baseline = three-halves (1 minus one-half Superscript n)
Answer:
The answer is C
Sn=3(1-1/2^n)
Step-by-step explanation:
The expression which defines [tex]S_{n}[/tex] is option c which is [tex]S_{n} =3(1-1/2){n}[/tex].
What is geometric progression?A geometric progression is basically a sequence in which all the terms have a common ratio. It is also known as G.P.
How to find sum of G.P.?We have been given a sequence as 3/2+3/4+3/8+3/16+.....
If we carefully see the sequence then we will find that this sequence is a Geometric progression because there is a common ratio between all the terms that is 1/2.
Ratio of first and second term=3/4/3/2=1/2
We know that Sum of GP when n<1 is [tex]a(1-r^{n} )/1-r[/tex]
we have to just put the value of =3/2 and r=1/2 in the above formula.
[tex]S_{n}[/tex]=3/2(1-[tex]1/2^{n}[/tex])/1-1/2
=3/2(1-[tex]1/2^{n}[/tex])/1/2
=3*2/2(1-[tex]1/2^{n}[/tex])
=3(1-[tex]1/2^{n}[/tex])
Hence the expression which denotes [tex]S_{n}[/tex] is 3(1-[tex]1/2^{n}[/tex]).
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5th grade math. correct answer will be marked brainliest
Answer:
C
Step-by-step explanation:
Find the product of (√2 + √5) (√7 - √5)
PLs help( a guy answered to this image (linked below) said I have to find that to find the answer) pls solve for me! THx :))))
Answer:
[tex](\sqrt 2 + \sqrt 5)(\sqrt 7 - \sqrt 5) = \sqrt{14} - \sqrt{10} +\sqrt{35} - 5[/tex]
Step-by-step explanation:
Given
[tex](\sqrt 2 + \sqrt 5)(\sqrt 7 - \sqrt 5)[/tex]
Required
Solve
We have:
[tex](\sqrt 2 + \sqrt 5)(\sqrt 7 - \sqrt 5)[/tex]
Open bracket
[tex](\sqrt 2 + \sqrt 5)(\sqrt 7 - \sqrt 5) = \sqrt{2*7} - \sqrt{2*5} +\sqrt{5*7} - \sqrt{5* 5}[/tex]
[tex](\sqrt 2 + \sqrt 5)(\sqrt 7 - \sqrt 5) = \sqrt{14} - \sqrt{10} +\sqrt{35} - 5[/tex]
Which expression is equivalent to 4sqrt x10?
Need answers ASAP!!
Answer:
The answer is x^2( [tex]\sqrt[4]{x^2}[/tex] ).
Step-by-step explanation:
To find an expression equivalent to 4 sqrt x^10, start by simplifying 4 sqrt x^10. To simplify the original equation, rewrite [tex]x^{10}[/tex] as ([tex]x^{2}[/tex])^4 [tex]x^{2}[/tex]. Then, pull terms out from under the radical, which will look like [tex]x^{2}[/tex][tex]\sqrt[4]{x^2}[/tex]. Next, rewrite [tex]\sqrt[4]{x^2}[/tex] as [tex]x^{2}[/tex][tex]\sqrt{} \sqrt{x}^2[/tex]. Finally, pull terms out from under the radical, assuming positive real numbers, which look like [tex]\sqrt[x^2]{x}[/tex], and this will simplify 4 sqrt x^10.
Now, simplify [tex]x^{2}[/tex]([tex]\sqrt[4]{x^2}[/tex] ). To simplify, rewrite [tex]\sqrt[4]{x^2}[/tex] as [tex]\sqrt{} \sqrt{x^2}[/tex]. Then, pull terms out from under the radical, assuming positive real numbers, and the final answer is [tex]\sqrt[x^2]{x}[/tex].
Finally, 4 sqrt x^10 is equivalent to [tex]x^{2}[/tex]([tex]\sqrt[4]{x^2}[/tex] ).