Answer:
Average consumption ( mean ) = 9
MOE = 4
Step-by-step explanation:
We know that
CI ( 5 ; 13 )
and CI [ μ - MOE ; μ + MOE ]
From the above relations we get
μ - MOE = 5
μ + MOE = 13
Adding member to member these two equations we get
2*μ = 18
μ = 9 and MOE = 13 - 9
MOE = 4
Which three-dimensional figure is formed by the rotation given?
Answer: The bottom right
Step-by-step explanation: Take a peek at the pic :)
Write 985 in the standard form and find its
Product of divisors
,Sum of divisors.
Answer:
Step-by-step explanation:
985 = 5 * 197 = 1 * 5 * 197
The product of the divisors is 985
The sum is 203
Please answer this question now
Answer:
16.2
Step-by-step explanation:
use Pythagorean theorem
a^2 + b^2 = c^2
15^2 + 6^
225 + 36 = 261
take the sq root of 261
A fruit bowl contains apples and bananas in the ratio 4 : 5. Two apples are removed changing the ratio to 2 : 3. Work out the total number of fruit that remain in the bowl.
Answer:
25
Step-by-step explanation:
Given that the ratio is 4 : 5 = 4x : 5x ( x is a multiplier ), then
4x - 2 : 5x = 2 : 3
Expressing the ratio in fractional form
[tex]\frac{4x-2}{5x}[/tex] = [tex]\frac{2}{3}[/tex] ( cross- multiply )
3(4x - 2) = 10x , distribute left side
12x - 6 = 10x ( subtract 10x from both sides )
2x - 6 = 0 ( add 6 to both sides )
2x = 6 ( divide both sides by 2 )
x = 3
Thus initially there were
4x + 5x = 9x = 9(3) = 27 pieces of fruit
2 apples were removed, leaving 25
Answer:
25
Step-by-step explanation:
4 : 5. is ratio before two apples were removed.
2 : 3. is ratio after two apples were removed.
combing the two statements will give you the following mathematical statement:
4x-2:5x=2:3 solve for x
3(4x-2)=5x*2
12x - 6=
2x=6
x=3
then 4x + 5x = total ñô fruit
4(3) + 5(3) = total ñô fruit
27= total ñô fruit
remaining fruit=total ñô fruit - 2
remaining fruit=27-2
remaining fruit=25
.....................
Answer:
B. √16 × √6
C. √96
Step-by-step explanation:
4√6
4 can be written as a square root.
4 = √16
√16 × √6
The square roots are multiplied, they can be written under one whole square root.
√(16 × 6)
√96
which of the following is the equation of a line perpendicular to the line y=-1/3x+1 passing through the point 2,7
Answer:
y=3x+1
Step-by-step explanation:
perpendicular lines=their gradient multiply to produce -1 thus:
(line 1) y= -⅓x+1. gradient is. -⅓x
(line 2) gradient = 3
y=mx+c
3=y-7
x-2
multiply both sides by x-2 to remove the denominator.
3(x-2)=y-7
3x-6=y-7
collect the like terms to remain with y in one is side
3x-6+7=y
3x+1=y
y=3x+1
Which equation correctly uses the trigonometric ratio for sine to solve for y?
Answer:
b y = 9sin(36)
Step-by-step explanation:
sin A = opp/hyp
for the 36-deg angle, opp = y, and hyp = 9.
sin 36 = opp/hyp
sin 36 = y/9
y = 9 * sin 36
Answer: b y = 9sin(36)
A new E music service offers downloadable songs by subscription $15 per month plus one for each downloaded song how much will it cost to download X songs in a month
Answer:
$15+x
x in dollars
Step-by-step explanation:
Subscription per month=$15
Cost of each downloaded song per month=$15 + 1
If x number of songs are downloaded in a month
The cost of downloading x songs= $15 + x
Where,
$15 = fixed cost ( subscription)
x= variable cost( each unit of songs downloaded)
If 20 songs are downloaded in a month.
The cost of downloading the 20 songs
=$15+$20
=$35
Rewrite the given function as an equivalent function containing only cosine terms raised to a power of 1.f(x)=7cos^2x
Answer:
Step-by-step explanation:
Using the double angle formulas,
cos(2x) = cos^2(x) - sin^2(x) ............(1)
1 = cos^2(x) + sin^2(x)............(2)
add (1) and (2)
1 + cos(2x) = 2 cos^2(x)
=> cos^2(x) = (1/2) (1+cos(2x)) ..............(3)
f(x) = 7 cos^2 (x)
substituting (3)
f(x) = (7/2) (1+cos(2x))
Explain how you can determine the number of real number solutions of a system of equations in which one equation is linear and the other is quadratic–without graphing the system of equations.
Answer:
To determine the number of real number solutions of as system of equations in which one equation is linear and the other is quadratic
1) Given that there are two variables, x and y as an example, we make y the subject of the equation of the linear equation and substitute the the expression for y in x into the quadratic equation
We simplify and check the number of real roots with the quadratic formula, [tex]x = \dfrac{-b\pm \sqrt{b^{2}-4\cdot a\cdot c}}{2\cdot a}[/tex] for quadratic equations the form 0 = a·x² - b·x + c
Where b² > 4·a·c there are two possible solutions and when b² = 4·a·c equation there is only one solution.
Step-by-step explanation:
Answer:
Isolate one variable in the system of equations. Use substitution to create a one-variable equation. Then, set the quadratic equation equal to zero and find the discriminant. If the discriminant is negative, then there are no real number solutions. If the discriminant is zero, then there is one real number solution. If the discriminant is positive, then there are two real number solutions.
Step-by-step explanation:
I just took the test on Edge 2020
which answer is equivalent to √16/√49
Answer:
sqroot 16/49 A
Step-by-step explanation:
The expression [tex]\frac{\sqrt{16}}{\sqrt{49}}[/tex] is equivalent to expression [tex]\sqrt{\frac{16}{49}}[/tex] because by property [tex]\frac{\sqrt{a}}{\sqrt{b}}=\sqrt{\frac{a}{b} }[/tex].
The expression [tex]\frac{\sqrt{16}}{\sqrt{49}}[/tex] can be simplified by taking the square root of 16 and the square root of 49 separately.
√16 equals 4 because the square root of 16 is the number that, when multiplied by itself, gives 16.
Similarly, √49 equals 7 because the square root of 49 is the number that, when multiplied by itself, gives 49.
So, the expression [tex]\frac{\sqrt{16}}{\sqrt{49}}[/tex] simplifies to 4/7.
and we know that [tex]\frac{\sqrt{a}}{\sqrt{b}}=\sqrt{\frac{a}{b} }[/tex]
[tex]\sqrt{\frac{16}{49}}[/tex] is equivalent to [tex]\frac{\sqrt{16}}{\sqrt{49}}[/tex] , which simplifies to 4/7.
Therefore, [tex]\sqrt{\frac{16}{49}}[/tex] is equivalent to [tex]\frac{\sqrt{16}}{\sqrt{49}}[/tex] .
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1 2 3 4 5 6 7 8 9 10 TIME REMAINING 57:18 Triangle A B C is shown. Angle A B C is a right angle. An altitude is drawn from point B to point D on side A C to form a right angle. The length of A D is 5 and the length of B D is 12. What is the length of Line segment B C, rounded to the nearest tenth? 13.0 units 28.8 units 31.2 units 33.8 units
Answer:
28.8 units
Step-by-step explanation:
In order to further explain the description of the right angled triangle ABC above, I have attached a hand drawn diagram for easier understanding.
The length of A D is 5 units
The length of B D is 12 units.
From the above triangle ABC, to solve for BC we have the following ratios.
BD : BC = AD : BD
Hence,
BD/ BC = AD/BD
= 12/BC = 5/12
Cross Multiply
12× 12 = BC × 5
BC = 12 × 12/ 5
BC = 144/5
BC = 28.8 units
Therefore, the length of Line segment B C, rounded to the nearest tenth is 28.8 units
Answer:
c.31.2
Step-by-step explanation:
A restaurant catered a party for 40 people. A child’s dinner (c) cost $11 and an adult’s dinner (a) cost $20. The total cost of the dinner was $728. How many children and adults were at the party? Use the table to guess and check. 8 children and 32 adults 9 children and 31 adults 10 children and 30 adults 12 children and 28 adults
Answer:
x=8 number of children
y=32 number of adults
Step-by-step explanation:
x be children and y for adults
x+y=40 ⇒ y=40-x
11x+20y=728 solve by substitution of y=40-x
11x+20(40-x)=728
11x+800-20x=728
-9x=728-800
x=72/9 ⇒ x=8 number of children
y=40-x
y=40-8⇒ y=32 number of adults
The roots of $7x^2 + x - 5 = 0$ are $a$ and $b.$ Compute $(a - 4)(b - 4).$[tex]The roots of $7x^2 + x - 5 = 0$ are $a$ and $b.$ Compute $(a - 4)(b - 4).$[/tex]
Using the factor theorem, we have
[tex]7x^2+x-5=7(x-a)(x-b)[/tex]
and expanding gives us
[tex]7x^2+x-5=7(x^2-(a+b)x+ab)\implies\begin{cases}ab=-5\\a+b=-1\end{cases}[/tex]
So we have
[tex](a-4)(b-4)=ab-4(a+b)+16=-5-4(-1)+16=\boxed{15}[/tex]
Dale is in a ski rental shop trying to decide which equipment to rent for the day. The shop offers 4 kinds of skis and 3 kinds of poles. A helmet is always a good idea, and the shop has 8 different helmets available. How many different sets of ski equipment can Dale rent? sets
Answer:
96
Step-by-step explanation:
Simply multiply all the numbers together.
4 * 3 = 12
12 * 8 = 96
There are 96 possible combinations.
If this helped, please mark brainliest :D
Answer: 12 poles and 16 helmets
Step-by-step explanation:
3+4 =8
-4= -4
1.7
winthrop has $4.40 worth of nickles and dimes. If winthrop has 3.5 times as many nickles as he has dimes, how many dimes does he have?
Answer:
16
Step-by-step explanation:
If n is number of nickles and d is number of dimes:
5n + 10d = 440
n = 3.5d
Substitute:
5(3.5)d + 10d = 440
17.5d + 10d = 440
27.5d = 440
d = 16
Carl ordered a refrigerator that weighs 192 pounds. It was shipped to him inside a box and surrounded by packaging material. The total weight of the refrigerator, box, and packaging material was 205 pounds. What is the weight of the box and packaging material?
Answer:
13 lbs
Step-by-step explanation:
Please answer this in two minutes
Answer:
x ≈ 5.7
Step-by-step explanation:
Using the Sine rule in Δ WXY
[tex]\frac{WY}{sinX}[/tex] = [tex]\frac{XY}{sinW}[/tex] , substitute values
[tex]\frac{x}{sin33}[/tex] = [tex]\frac{10}{sin107}[/tex] ( cross- multiply )
x sin107° = 10 sin33° ( divide both sides by sin107° )
x = [tex]\frac{10sin33}{sin107}[/tex] ≈ 5.7 ( to the nearest tenth )
Two boxes have the same volume. One box has a base that is 5cm by 5cm. The other box has a base that is 10cm by 10 cm. How many times as tall is the box with the smaller base?
Answer:
x=4
Step-by-step explanation:
5^2X=10^2X
25X=10X
2X=100/25
The Box with a smaller base has a height that is 4 times taller than the Box having a larger base.
What is the volume of a cuboid?We know the volume of a cuboid is the product of its length, breadth, and height or v = l×b×h.
Given, we have two boxes let us denote them by B₁ and B₂ and their respective heights are h₁ and h₂.
To obtain how many times one box is relative to the other we have to equate their respective volumes.
Given, one box has a base that is 10cm by 10 cm and another box has a base that is 5cm by 5cm.
∴ 5×5×h₁ = 10×10×h₂.
25h₁ = 100h₂.
h₁ = 4h₂.
So, h₁ is 4 times taller than h₂.
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please help with this question, I am quite confused
Answer:
Step-by-step explanation:
A-domain (-∞,∞)
B- Range(0,∞) the range is the set of values tat correspond with the domain
C- the y intercept (0,1) , y intercept is when x =0 (2/3)^0=1
D-the horizontal asymptote is x-axis y=0
E- the graph is always decreasing
F-it depend on the base
Prove that. 1-sin2A=2sin^2(45-A)
Answer:
Proved
Step-by-step explanation:
2 sin square( 45°-A)
(therefore;
by trigonometry ratios
sin45°=1)
=2sin2(1-A)
=2sin(1-A)
=1+sin2A
hence proved
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Tysm
Eiko is wearing a magic ring that increases the power of her healing spell by 30\%30%30, percent. Without the ring, her healing spell restores HHH health points. Which of the following expressions could represent how many health points the spell restores when Eiko is wearing the magic ring?
Answer:
Options B: and C:
Step-by-step explanation:
Remember that 30% in fraction form is
The amount of health points (H) restored would depend on the amount of the current H so it means it would add 30% of the current which we can write as:
And since it would add that to the current total we can right the current total as:
So our equation would be:
For option B:
We can factor out the H and you will be left with:
Combine or add the fractions inside the parenthesis and you will have:
For option C:
We can simplify the fractions which will result in:
Then factor out the H and you will have:
Options B: and C:
Step-by-step explanation:
Remember that 30% in fraction form is
The amount of health points (H) restored would depend on the amount of the current H so it means it would add 30% of the current which we can write as:
And since it would add that to the current total we can right the current total as:
So our equation would be:
For option B:
We can factor out the H and you will be left with:
Combine or add the fractions inside the parenthesis and you will have:
For option C:
We can simplify the fractions which will result in:
Then factor out the H and you will have:
HOPE I HELPED
PLS MARK BRAINLIEST
DESPERATELY TRYING TO LEVEL UP
✌ -ZYLYNN JADE ARDENNE
JUST A RANDOM GIRL WANTING TO HELP PEOPLE!
PEACE!
An insect is 3.5 millimeters long. Which expression finds the length of the insect in decimeters? Use the metric table to
help answer the question.
Metric Table
kilo-
1,000
hecto-
100
unit
deka-
10
centi-
deci-
0.1
1
milli-
0.001
0.01
A.) 3.5 x 100
B.) 3.5-100
C.) 3.5-10
D.) 3.5x 10
Answer:b
Step-by-step explanation:
C and D are wrong because both of them should be divided and by 100. A is wrong because you are supposed to divide because if you multiply 3.5 x 100 its 350 and it just doesn’t make any sense because milli is smaller than deci. So by process of elimination b is the right answer.
Answer:
b
Step-by-step explanation:
:D
.
What is y + 3 = 7(2 – 2) written in standard form?
Answer:
y = -3
Step-by-step explanation:
y + 3 = 7(2 - 2)
y + 3 = 0
Subtract 3 from both sides
y + 3 - 3 = 0 - 3
y = -3
Answer:
7x - y = 17
Step-by-step explanation:
Maybe you want the standard form of the point-slope equation ...
y +3 = 7(x -2)
__
y + 3 = 7x -14 . . . . . eliminate parentheses
17 = 7x -y . . . . . . . . add 14-y
7x - y = 17
What is the simplified form of the following expression?
[tex]2 (\sqrt[4]{16x}) - 2 (\sqrt[4]{2y} ) + 3 (\sqrt[4]{81x} ) - 4 (\sqrt[4]{32y} )[/tex]
We have
[tex]16=2^4\implies\sqrt[4]{16}=2[/tex]
[tex]81=3^4\implies\sqrt[4]{81}=3[/tex]
[tex]32=2^5\implies\sqrt[4]{32}=2\sqrt[4]{2}[/tex]
So
[tex]2\sqrt[4]{16x}-2\sqrt[4]{2y}+3\sqrt[4]{81x}-4\sqrt[4]{32y}[/tex]
is equivalent to
[tex]2^2\sqrt[4]{x}-2\sqrt[4]{2y}+3^2\sqrt[4]{x}-8\sqrt[4]{2y}[/tex]
which reduces to
[tex]13\sqrt[4]{x}-10\sqrt[4]{2y}[/tex]
Which equation represents a linear function that has a slope of Four-fifths and a y-intercept of –6? y = negative 6 x + four-fifths y = four-fifths x minus 6 y = four-fifths x + 6 y = 6 x + four-fifths
Answer:
The answer is
[tex]y = \frac{4}{5} x - 6[/tex]
Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
From the question
m / slope = 4/5
c / y intercept = - 6
Substituting the values into the above formula
We have the final answer as
[tex]y = \frac{4}{5} x - 6[/tex]
Hope this helps you
Answer:
the correct answer is C.
Step-by-step explanation:
i got it right on edge 2020
A teacher is grading exit tickets on the train. It takes
him 42.5 seconds to grade each exit ticket, and he will
arrive at his destination in 5 minutes. The teacher knows
he will need to save 30 seconds to pack up his materials.
What is the maximum number of exit tickets that he can
grade?
A) 8
B) 7
C) 6
D) 5
Answer:
6 papers
Step-by-step explanation:
5 minutes = 5 * 60 = 300 seconds
He needs to save 30 seconds
300 - 30 = 270 seconds
270 seconds / 42.5 seconds per paper
6.352941176 papers
Rounding down since he want to completely grade the paper
6 papers
if the vertex of a parabola is (-4,6) and another point on the curve is (-3,14), what is the coefficient of the squared expression in the parabola's equation?
Answer:
8
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (- 4, 6 ), thus
y = a(x + 4)² + 6
To find a substitute (- 3, 14) into the equation
14 = a(- 3 + 4)² + 6 ( subtract 6 from both sides )
8 = a
Thus the coefficient of the x² term is a = 8
Nicole has x marbles. Together we have 44 marbles. How many marbles will I have if I lose 1/4 of my marbles ?
Answer:
I have:
33 - 3N/44 marbles
N = marbles of Nicole
Step-by-step explanation:
Nicole + me = 44 marbles
m = 44 - N
m = me
N = Nicole
if i lose 1/4 of my marbles
4/4 - 1/4 = 3/4
i have left:
3/4 of my marbles
then:
m = 3(44-N)/4
m = 3*44/4 + 3*-N/44
m = 33 - 3N/44
I have finally:
33 - 3N/44
Evaluate 3x2 - 4 when x = 2.
A. 12
B. 32
c. 2
D. 8
Answer:
8
Step-by-step explanation:
3x^2 - 4
Let x = 2
3 * 2^2 -4
Exponents first
3 *4 -4
Then multiply
12 -4
Now subtract
8
[tex]\text{Plug in and solve:}\\\\3(2)^2-4\\\\3(4)-4\\\\12-4\\\\8\\\\\boxed{\text{D). 8}}[/tex]