Answer:
64 oz. were consumed and 16 oz. were left.
Step-by-step explanation:
8*10 = 80 oz. of juice total.
10-2=8 boxes consumed
8*8(number of oz. per box)=64 oz. consumed
2*8=16 oz. left
64+16=80 checks out.
Factor the following
X^2+3x+2
x^2+15x+50
Answer:
1) [tex](x+1)(x+2)[/tex]
2) [tex](x+5)(x+10)[/tex]
Step-by-step explanation:
You can factorize the quadratics equations by applying the proccedure shown below:
1) [tex]x^2+3x+2[/tex]
Find two number whose sum is 3 and whose product is 2.
These would be 1 and 2.
Rewrite it as folowing:
[tex](x+1)(x+2)[/tex]
2) [tex]x^2+15x+50[/tex]
Find two number whose sum is 15 and whose product is 50.
These would be 5 and 10.
Therefore, you can rewrite it as folowing:
[tex](x+5)(x+10)[/tex]
The 1st one is (x+2)(x+1)
The 2nd one is (x+5)(x+10)
At the same rate, about how many days will you expect it to rain in 180 days?
Answer:
144 out of 180 days.
Step-by-step explanation:
180/30 is 6. That means that 30 * 6 = 180. So, 24 * 6 = 144, which is our answer.
Chloe is planning her wedding and trying to decide on where to purchase her floral arrangements. At Petals Plus, the arrangements cost $33.04 each, and the store charges $63.00 for delivery of the flowers to the wedding site. At Blooms, the arrangements cost $25.07 each, and the store charges $112.00 for delivery of the flowers to the wedding site.
How many arrangements should she purchase from Blooms in order to get a better value?
A.
6
B.
7
C.
5
D.
1
Chloe should purchase at least 6 arrangements from Blooms to get a better value compared to Petals Plus, as this is the smallest whole number of arrangements where the total cost at Blooms becomes less than that at Petals Plus.
Explanation:To determine how many arrangements Chloe should purchase from Blooms to get a better value, we need to compare the total cost of floral arrangements from both stores for varying quantities. We'll calculate the breaking point where the total cost from Blooms becomes less than that from Petals Plus.
Let the number of arrangements Chloe is considering purchasing be denoted by n. The total cost at Petals Plus for n arrangements would be:
Total cost at Petals Plus = $33.04n + $63.00
Similarly, the total cost at Blooms for n arrangements would be:
Total cost at Blooms = $25.07n + $112.00
Chloe gets a better value from Blooms when the total cost at Blooms is less than at Petals Plus:
$25.07n + $112.00 < $33.04n + $63.00
To find the value of n, we'll solve the inequality:
$8.97n > $49.00
n > $49.00/$8.97
n > 5.46
Since Chloe can't purchase a fraction of an arrangement, the smallest whole number of arrangements she should purchase from Blooms to get the better value is 6. Therefore, the answer is option A: 6.
On the attached drawing what is the name for Angle LHJ? Obtuse, acute, complementary or right?
Answer: Right (Last option)
Step-by-step explanation:
As you can see in the figure, the parallel lines AD and GJ are intersected by two lines.
The line EL intersects the parallel lines and there are two angles that are formed by this intersections which are located on the exterior of AD and GJ, but on opposite sides of EL, (these angles are called "Alternate exterior angles" and they are congruent), which are:
∠LHJ and ∠EBA
You can observe that the angle ∠EBA is indicated with a square. This means that the measure of that angle is 90° (Right angle).
Therefore, if ∠EBA=90°, then ∠LHJ =90°
Answer:
The correct answer is last option Right
Step-by-step explanation:
From the figure we can see that,
AD ║ GJ and LE is the traversal.
And also given <ABE = 90°
Fro figure we get <ABE and <GHB are corresponding angles. Corresponding angles are equal.
Therefore <GHB = 90°
To find the <LHJ
From figure we can see that <LHJ and <GHB are vertically opposite angles.
Vertically opposite angles are equal.
Therefore <LHJ = <GHB = 90°
7x^2 + 14x − 105
plzzz helllp
Factor the polynomial
7(x-3)(x+5)
formala to calculate time for exponential growth
Answer:
To calculate exponential growth, use the formula y(t) = a__ekt, where a is the value at the start, k is the rate of growth or decay, t is time and y(t) is the population's value at time t.
Mark as brainliest please..
To calculate the time for exponential growth, use the formula n = ln(M) / ln(b) for a specific multiple (M) and growth rate (b), or the Rule of 70 for estimating doubling time.
Explanation:Understanding Exponential Growth
The formula to calculate the time for exponential growth depends on the growth rate and the factor by which a quantity increases. If the growth rate is constant and represented as a percentage or fraction, the growth is exponential. For example, if a bacterial population doubles every hour, starting with 1000 bacteria, it will grow to 2000 after one hour, 4000 after two hours, and so on.
Calculating Time for Exponential Growth
One formula to find the time (n) to reach a certain multiple (M) of the original amount at a specific growth rate (b) is:
n = ln(M) / ln(b)
For instance, to calculate the time to increase by a factor of 1000 with an annual growth rate of 7% (b = 1.07):
n = ln(1000) / ln(1.07) ≈ 102 years
This equation shows that it would take approximately 102 years for the quantity to grow by a factor of 1000.
The Rule of 70
t = 70 / growth rate
t = 70 / 2.9 ≈ 24 years
The time it takes for exponential growth can vary significantly based on the growth rate and the factor of increase desired.
Use technology to approximate the solution(s) to the system of equations to the nearest tenth of a unit. Select all that apply. f(x)=2(3)^x g(x)=10log(x+3)
Hi. if you have acces to a ti-84 plus or a virtual to plug it into Y= and click 2nd and graph which will take you to the data table
Answer:
The correct option is 1.
Step-by-step explanation:
The system of equations is
[tex]f(x)=2(3)^x[/tex]
[tex]g(x)=10\log (x+3)[/tex]
Using graphing tool we can draw the graph as shown below.
From the below graph it is clear the graph of f(x) and g(x) intersect at (-1.944,0.236) and (1.004,6.025).
[tex](-1.944,0.236)\approx (-2,0.2)[/tex]
[tex](1.004,6.025)\approx (1,6)[/tex]
The approximate solutions of the given system of equations are (-2,02) and (1,6). Therefore only option 1 is correct.
24n+32 factor completely
Answer:
Step-by-step explanation:
24n+32=0
24n= -32
24n=-32 all over 8
3n= -4
n= -4/3
What is the quotient?
Answer:
= [tex]\dfrac{1}{5^{9}}[/tex]
Step-by-step explanation:
When dividing values with exponents, we simply need to subtract the numerators exponent to the denominators exponent.
So we have:
[tex]\dfrac{5^{-6}}{5^{3} }[/tex]
= [tex]5^{-6 - 3}[/tex]
= [tex]5^{-9}[/tex]
Now since we have a negative exponent, we can get the reciprocal of the value to make it positive.
= [tex]\dfrac{1}{5^{9}}[/tex]
Answer:
The answer is 1 / 5^(9)
Step-by-step explanation:
We just need to divide both numbers and find the result
(5)^-6 / (5)^3
(5)^(-6-(3)) =
(5)^(-9) =
1 / 5^(9) = 5,120 .10^(-7)
This figure consists of a rectangle and semi circle.
What is the perimeter of this figure?
You 3.14 for PI
A. 60.84 m
B. 72.84 m
C. 79.68 m
D. 98.52 m
The answer of the question is A
Answer: The answer to ur question is 60.84
Have a good one and can I get brainliest pls
In the summer, you charge people $10 for going to their house to mow lawns, then $6 for every hour you mow. If you make $34 one day, how many hours did you spend mowing?
Answer: 4 hours
Step-by-step explanation:
10+6=16
16+6=22
22+6=28
28+6=34
Find the volume of a cube with an edge of 6cd^3.
Answer:
V=a^3 is the answer
The value of the volume of a cube with an edge of 6cd³ is,
⇒ V = 216c³d⁹
What is mean by Cuboid?A cuboid is the solid shape or three-dimensional shape. A convex polyhedron which is bounded by six rectangular faces with eight vertices and twelve edges is called cuboid.
We have to given that;
An edge of cube is,
⇒ 6cd³
Since, We know that;
Volume of cube is,
⇒ V = side³
Hence, The value of the volume of a cube with an edge of 6cd³ is,
V = (6cd³)³
V = 216c³d⁹
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What’s the roots of x2-6x-16=0 but found by factoring?
-2 and 8 are the roots of that problem found by factoring.
Please help need answer
Answer:
Step-by-step explanation:
First, let's look at the pie-shaped segment defined by the 123° angle and the 18.6 m radius.
The area of the entire circle is given by A = πr² = 3.14159(18.6 m)², or A = 1086.865 m².
The area of the "pie slice" is (123/360) of that, or 371.346 m².
Next, we must find the area of the triangle and subtract this area from this 371.346 m²:
Use the Law of Cosines to find the area of this triangle. The Law of Cosines in appropriate form is
c² = a² + b² -2ab*cos C.
In this case C is 123° and a and b are both 18.6 m in length. Thus,
c² = (18.6 m)² + (18.6 m)² - 2(18.6 m)(18.6 m)*cos 123°
Thus,
c² = 691.92 m² - 691.92*cos 123°, or
= (691.92 m²)(1 - cos 123°)
= (691.92 m²)(1 - [-0.5446] ) = (691.92 m²)(1.5446) = 1068.767
Taking the square root of this result, we get c = +32.6920 m.
Subdivide the triangle shown to form a new triangle with hypotenuse 18.6 m, adjacent side 32.6920 m / 2, or 16.3460 and opposite side h.
Then 18.6² = h² + 16.3460², which leads to h²2 = 18.6² - 16.346², or 78.768.
Then h = √78.768 = 8.875 (m).
We now use this info to find the area of the illustrated triangle, using the formula A = (1/2)(base)(height). That comes out to:
A = (1/2)(16.3460 m)(8.875 m) = 72.535 m²
Finally, we subtract twice that from the area of the 'pie' to get the area of the yellow (shaded) area:
pie area - area of triangle shown in the diagram =
371.346 m² - 145.071 m² = 226.3 m² (to the nearest tenth)
Answer:
226.4
Step-by-step explanation:
NOT 226.3 !!
(x+2)(x+6)=0
In the problem shown, to conclude that x+2=0 or x+6=0, one must use the: A. multiplication property
B. division property
C. zero product property
D. transitive property
Answer:
the zero product property because you can set them to 0
Answer: The correct option is
(C) Zero product property.
Step-by-step explanation: The given problem is
[tex](x+2)(x+6)=0~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
To conclude that x+2=0 or x+6=0, one must use which of the given properties.
We know that
for any two expressions E and F, we have
[tex]EF=0~~~\Rightarrow E=0~\textup{or}~F=0.[/tex]
This property is known as Zero product property.
Therefore, to conclude x+2=0 or x+6=0 from the given problem (i), we must use the Zero product property.
Thus, (C) is the correct option.
Which probability distribution table corresponds with this frequency distribution table?
Answer:
Table 2
Step-by-step explanation:
The given frequency distribution table is
X : 1 2 3 4 5
f : 11 1 2 4 2
The sum of frequencies is
[tex]\sum f=11+1+2+4+2=20[/tex]
The formula for probability is
[tex]P_i=\frac{f_i}{\sum f}[/tex]
where, [tex]f_i[/tex] is frequency and [tex]\sum f[/tex] in the sum of frequencies.
For X=1,
[tex]P_1=\frac{11}{20}=0.55[/tex]
For X=2,
[tex]P_2=\frac{1}{20}=0.05[/tex]
For X=3,
[tex]P_3=\frac{2}{20}=0.1[/tex]
For X=4,
[tex]P_4=\frac{4}{20}=0.2[/tex]
For X=5,
[tex]P_5=\frac{2}{20}=0.1[/tex]
The probability distribution table corresponds with the given frequency distribution table is
X : 1 2 3 4 5
P : 0.55 0.05 0.1 0.2 0.1
Therefore, the correct option is 2.
The only probability distribution table that corresponds with the frequency distribution table is; Second table
From the given frequency distribution table, let's find the sum of the given frequencies. Thus;
Σf = 11 + 1 + 2 + 4 + 2
Σf = 20
Now,the probability for each value of x will be;
P_x = f_x/Σf
Where f_x represents the frequency of the given value of x.
Thus;
P_1 = 11/20
P_1 = 0.55
P_2 = 1/20
P_2 = 0.05
P_3 = 2/20
P_3 = 0.1
P_4 = 4/20
P_4 = 0.2
P_5 = 2/20
P_5 = 0.1
Looking at the tables in the options, in conclusion the only tables that have their P value corresponding with those we got for each value of x is Option B which is the second table.
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Which set of measurements identify the length, width, and diagonal of a rectangle?
5 ft, 7 ft, 8 ft
6 in., 7 in., 12 in.
8 cm, 9 cm, 10 cm
9 m, 12 m, 15 m
Answer:
9 12 15
Step-by-step explanation:
9²+12²=15²
81+144=225
Multiply each of the following numbers 7.32, and 0.006 by 10, 100, and 1,000. Then explain the pattern you can use to find the products. *
Your answer
Answer:
I have the same question connections academy? it is so hard i still dont know
Step-by-step explanation:
8 x 1/5 write in simplest form. Identify the two whole number between which the product lies
The product after multiplying 8 x 1/5 in the simplest form is 1.6.
Given a multiplication expression, 8 x 1/5.
We have to find the product of this in the simplest form.
Here 8 and 1/5 are the numbers which are to be multiplied.
The simplest fractional form of the product is,
8 x 1/5 = 8/5
This fraction cannot be simplified further.
Now we have to find the result in decimal form.
8 x 1/5 = 1 3/5 = 1 + 0.6 = 1.6
Hence the product is 1.6.
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A rectangular prism has a length of 7 cm, a width of 4 cm, and a height of 2
C
The prism is filled with cubes that have edge lengths of 1/2 cm
How many cubes are needed to fill the rectangular prism?
Answer:
Step-by-step explanation:
first solve the volume of the rectangular prism
V = l x w x h
where l is the length
w is the width
h is the height
V = 7 x 4 x 2.5
v = 70 cu cm
then solve the volume of the box
v = e^3
v = 0.5^3
v = 0.125
number of cubes = 70 / 0.125
number of cubes = 560 cubes
Answer:
The number of cubes are needed to fill the rectangular prism = 448 cubes
Step-by-step explanation:
It is given that,
A rectangular prism has a length of 7 cm, a width of 4 cm, and a height of 2 cm. The prism is filled with cubes that have edge lengths of 1/2 cm
To find the volume of rectangular prism
Volume of rectangular prism = Length x Width X Height
Length = 7 cm, Width = 4 cm and height = 2cm
Volume = 7 x 4 x 2 = 56 cm³
To find the volume of small cubes
Volume of cube = a³
a = 1/2 cm = 0.5³ = 0.125
To find the number of cubes needed to fill prism
Number of cubes = Volume of prism/ volume of cube
= 56/0.125 = 448 cubes
Therefore the correct answer is 448 cubes
what is the percent of the increase of 2000 to 5000?
There is a 150% increase.
Work is attached in the image provided.
Have a great day!
The height of a triangle is six times the base write an expression for the area of the triangle and let x be the base
Answer:
A = 3x²Step-by-step explanation:
The formula fo an area of a triangle:
[tex]A=\dfrac{bh}{2}[/tex]
b - base
h - height
We have
x - base
6x - height
Substitute:
[tex]A=\dfrac{(x)(6x)}{2}=\dfrac{6x^2}{2}=3x^2[/tex]
Which ones select all that apply?
Answer:
Step-by-step explanation:
Hello, this is a factorization algebra case:
a) 7(X+6)
b) 11y + 7
Best regards
A fast typist can type 120 words in 100 seconds. At that rate, how many seconds would it take to type 258 words?
Answer:
215 seconds
Step-by-step explanation:
120 words : 100 seconds = 258 words : x seconds
x = 258*100/120 = 258*5/6 = 43*5/1 = 215 seconds
Answer: 120+120+ 18= 258
You know that it takes 100 seconds for 120 words
120=100 120=100 now we have to find now how many seconds does it take to make 18 words
What are the values of x
Answer:
x=17
Step-by-step explanation:
Answer:
x=5 x=-3
Step-by-step explanation:
x - 15/x = 2
Multiply each term by x to get rid of the fraction
x(x - 15/x) = 2*x
x^2 -15 = 2x
Subtract 2x from each side
x^2 -2x -15 = 2x-2x
x^2 -2x-15 = 0
Factor the left hand side
(x-5) (x+3) =0
Using the zero product property
x-5=0 x+3 =0
x=5 x=-3
3x-1=11 what is the value of x
Answer:
Step-by-step explanation:
1. Add 1 to both the sides
2. 3x=12
3. Divide both the sides by 3
4. X=4
Answer:
x = 4Step-by-step explanation:
[tex]3x-1=11\qquad\text{add 1 to both sides}\\\\3x-1+1=11+1\\\\3x=12\qquad\text{divide both sides by 3}\\\\\dfrac{3x}{3}=\dfrac{12}{3}\\\\\boxed{x=4}[/tex]
Please hellppp me eeee
Answer:
Number 7 is A and Number 8 is D.
Answer:
The correct answers are
A) 2+10h
D) 40
Find the quotient.
4^10
____
4^2
A. 4^8
B. 4^13
C. 4^-8
D. 4^-12
Answer:
Step-by-step explanation:
[tex]\frac{4^{10}}{4^2} = 4^{10 - 2} = 4^8[/tex]
Alternative A
I hope I helped you.
Answer:
A. 4^8
Step-by-step explanation:
When you divide powers with the same base, use the same base, and subtract the exponents.
Here is the rule:
[tex] \dfrac{a^m}{a^n} = a^{m - n} [/tex]
Here is your problem:
[tex] \dfrac{4^{10}}{4^2} = 4^{10 - 2} = 4^8 [/tex]
What are rational exponents, and how are they related to integer exponents?
Answer:
See below
Step-by-step explanation:
Integer exponents are a subset of rational exponents
Integer exponents
An integer exponent is an exponent that is an integer. For example, in the expression y = 5³, the 3 is an integer exponent.
An integer exponent is a power. Thus, 5³ = 5× 5× 5.
Rational exponents
Rational exponents can be expressed as a ratio of integers with nonzero denominators.
Thus, in the expression [tex]y = 5^{\frac{ 2}{3 }}[/tex], the fraction ⅔ is a rational exponent.
A rational exponent is both a power and an nth root. The numerator is the power, and the denominator is the root. Thus,
[tex]5^{\frac{ 2}{ 3}} = \sqrt[3]{5^{2}} = (\sqrt[3]{5}})^{2}[/tex]
What is the surface area of this triangular prism rounded to the nearest tenth?
Step-by-step explanation:
Given
The measure of the length of the triangular prism is 5.3, height is 1.26, and width is 3.3,
Surface area triangular prism;
The surface area of a triangular prism is the total area covered by its surface in a three-dimensional plane.
The surface area of a triangular prism is given by;
Where a, b, and c are the sides of triangular bases and H is the height of the prism.
The measured side a is 5.3, b is 3.6, and c is 2.3.
Substitute all the values in the formula;
Hence, the surface area of this triangular prism is 43.6 square meters.