Answer:
[See Below]
Step-by-step explanation:
\(Hey~There!\)
__________________________________________________________
\(\bold{So~to~solve~this~we~do~the~opposite~of~what~we~see:}\)
÷ changes to ×\(5,600\) × \(140=784,000\)\(\boxed{So~your~answer~is: 784,000}\)
__________________________________________________________
\(Hope~this~helps~Mate.\\-Your~Friendly~Answerer,~Shane\) ^-^
Hannah leans a 16-foot ladder against a wall so that it forms an angle of 61° with the
ground. What's the horizontal distance between the base of the ladder and the wall?
Round your answer to the nearest tenth of a foot if necessary.
Answer:
7.8 feet
Step-by-step explanation:
We can determine the Horizontal distance using trigonometry ;
Using the relation :
Cosθ = adjacent / hypotenus
Cos 61 = x / 16
x = cos 61 * 16
x = 0.4848096 * 16
x = 7.756
x = 7. 8 feet
Two cards are drawn from a standard deck of cards without replacement. Find the probability of drawing a heart and a club in that order
Given:
Two cards are drawn from a standard deck of cards without replacement.
To find:
The probability of drawing a heart and a club in that order.
Solution:
We have,
Total number of cards = 52
Number of cards of each suit (Spade, club, diamond, heart) = 13
The probability of drawing a heart card is:
\(P(Heart)=\dfrac{\text{Number of heart cards}}{\text{Total number of cards}}\)
\(P(Heart)=\dfrac{13}{52}\)
\(P(Heart)=\dfrac{1}{4}\)
Now, the number of remaining card is 51. So, the probability of drawing a club card is:
\(P(club)=\dfrac{\text{Number of club cards}}{\text{Total number of remaining cards}}\)
\(P(club)=\dfrac{13}{51}\)
Using these probabilities, the probability of drawing a heart and a club in that order is:
\(P(\text{Heart and club})=P(\text{Heart})\times P(\text{Club})\)
\(P(\text{Heart and club})=\dfrac{1}{4}\times \dfrac{13}{51}\)
\(P(\text{Heart and club})=\dfrac{13}{204}\)
Therefore, the required probability is \(\dfrac{13}{204}\).
Which product is greater than 2? O A x 25 O B. 25 x 25 O c. 22 8 1 / 1 O D. x2
EXPLANATION
Given the products we can see that 25 x 25 = 625 is greater than 2 and 5/6.
The average monthly income of three persons is rs. 3,600. If the income of the first is 1/5 of the combined income of the other two then his monthly income is
The monthly income of the first person is $600.
Given that, the average monthly income of three persons is RS 3,600.
The income of the first is 1/5 of the combined income of the other two.
Here, Let income of the first be A, let income of the second be B and let Income of the third be C.
A+B+C=3600 -----(i)
Income for the first person = 1/5(B+C) -----(ii)
Substitute equation (ii) in equation (i), we get
(B+C)/5 +B+C =3600
B+C+5B+5C=3600×5
6B+6C=18000
6(B+C)=18000
B+C=3000 ------(iii)
Substitute (iii) in equation (i), we get
A=$600
Therefore, the monthly income of the first person is $600.
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What percent of forty-eight is thirty?
Answer:
P = 62.5 %
Step-by-step explanation:
Of means multiply and is means equals
P * 48 = 30
Divide each side by 48
P = 30/48
P = .625
Change to percent form
P = 62.5 %
Answer:
62.5%
Step-by-step explanation:
30 is 62.5% of 48 since:
30÷48=0.625
0.625×100=62.5%
100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!
The proof of ΔRUV ≅ ΔSUT is shown below.
Given that:
RSTV is a rectangle and U is the midpoint of VT.
Here, We have to Prove:
⇒ ΔRUV ≅ ΔSUT
Now, We can prove as;
Statement Reason
1) RSTV is a rectangle Given
2) Angle V and T are Because every angle in a rectangle is 90
right triangle.
3) ∠V ≅ ∠T Because both are right angle.
4) U is the midpoint of VT. Given
5) VU = UT By midpoint theorem.
6) VR ≅ TS Opposite sides of rectangle.
7) ΔRUV ≅ ΔSUT By SAS congruency theorem.
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PLS HELP ASAP! Given a cone with a height of 6 cm and a base diameter of 6 cm, what is the volume of the cone? Use 3.24 for π
π
Answer:
56.52 cm³
Step-by-step explanation:
\(\boxed{volume \: of \: cone = \frac{1}{3} \pi {r}^{2}h }\)
Diameter= 2 ×radius
Radius
= 6 ÷2
= 3cm
Height, h= 6cm
Volume of the cone
\( = \frac{1}{3} (3.14)( {3}^{2} )(6)\)
= 56.52 cm³
given f''(x)=4x-2 and f'(-1)=0 and f(-1)=4
find f'(x)=
find f(4)=
Name all the chords ...
Answer:
option 3 is the answer.
what is the largest of 3 consecutive positive integers if the product of the two is smaller integers is 8 more times the largest integer
The three successive positive numbers are 3, 4, and 5.
The largest of these 5.
What are integers?Integers are made up of zeros, natural numbers, and their additive inverses. Except for the fractional part, it can be represented on a number line.
Let's call the smallest of three successive positive numbers x. The following two consecutive integers would then be x + 1 and x + 2.
The product of the two smaller integers (x and x + 1) is eight times that of the largest integer (x + 2). This can be written as an equation:
x(x + 1) = 8 + (x + 2)
By enlarging and simplifying the left side, we get:
\(x^2 + x = x + 10\)
When we subtract x and 10 from both sides, we get:
\(x^2 - 9 = 0\)
After factoring in, we get:
(x - 3)(x + 3) = 0
As a result, x = 3 or x = -3. We can disregard the negative solution because we're seeking positive integers and infer that x = 3.
As a result, the three successive positive numbers are 3, 4, and 5.
The largest of these 5.
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A water tank holds 216 gallons but is leaking at a rate of 3 gallons per week. A second water tank holds 324 gallons but is leaking at a rate of 5 gallons per week. After how many weeks will the amount of water in the two tanks be the same?
Answer:
54
Step-by-step explanation:
216 - 3x = 324 -5x
subtract 216 from both sides
add 5x to both sides
divide both sides by 2x.
31-+=16
28+b=50
33+c=54
52-n+=24
The solution to the equations are b = 15, b = 22, c = 21 and n = 28
How to determine the solution to the equationsFrom the question, we have the following equations that can be used in our computation:
31 - b = 16
28 + b = 50
33 + c = 54
52 - n = 24
Next, we collect the like terms in each of the equation
This gives
b = 31 - 16
b = 50 - 28
c = 54 - 33
n = 52 - 24
Lastly, we evaluate the like terms
b = 15
b = 22
c = 21
n = 28
The above are the solutions to the equations
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Question
Solve the following equations:
31 - b = 16
28 + b = 50
33 + c = 54
52 - n = 24
whoever is the 1st one to answer i u mark u as brainliest
Answer:
the answer is -1... since you did 2 negative numbers
GIVE ME BRAINLIEST PLZZZZ
Step-by-step explanation:
Answer:
Here is the answer -
Step-by-step explanation:
-3-(-2)= -3+2
= -1
Lotioneer introduced a new formula for their skin lotion. They want to conduct an experiment to compare skin dryness of people using the new formula with those using the current formula
Information on the eight volunteers is shown in the table
Volunteer Gender Age, year
1 Male 23
2 Female 25
3 Female 51
4 Female 24
5 Male 22
6 Male 53
7 Male 52
8 Female 56
Part A: The scientists running the experiment think skin dryness is based on age, not gender. Create four blocks of two volunteers and identify the volunteers, by number, who would be
Included in each block. Explain the criteria you used to create the blocks. (3 points)
Part B: The company brings in an outside analysis firm that believes skin dryness changes based on age and gender. The firm also uses block design with four blocks of two volunteers for each
block. Group the volunteers, by number, who would be included in each block. Explain the criteria you used to create the blocks (3 points)
Part C: The outside analysis firm from the part B assigns treatments by giving treatment by giving two block the new formula and two blocks the current formula. Did they assign the treatment appropriately? If so, explain a suitable process for selecting the blocks that receive the new formula. If not, explain a suitable method for assigning treatments
Answer:
Part A:
Creation of four blocks of two volunteers:
PART A: Skin Dryness based on age:
Volunteer Gender Age, year
5 Male 22
1 Male 23
4 Female 24
2 Female 25
3 Female 51
7 Male 52
The criteria for creating the blocks is age. The gender is not a material consideration.
Part B:
Creation of four blocks of two volunteers:
PART B: Skin Dryness based on Age and Gender:
Volunteer Gender Age, year
5 Male 22
4 Female 24
1 Male 23
2 Female 25
3 Female 51
6 Male 53
7 Male 52
8 Female 56
The criteria for creating the four blocks are age and gender. Each gender is included in each group.
Part C:
Randomly assigning treatment to groups without regard to their group dynamics may not be the most efficient. The new treatment formula should be assigned to one of the young groups and one of the old groups, using stratification. This will help to explain if age or gender causes skin dryness or not.
Step-by-step explanation:
a) Data and Calculations:
Volunteer Gender Age, year
1 Male 23
2 Female 25
3 Female 51
4 Female 24
5 Male 22
6 Male 53
7 Male 52
8 Female 56
PART A: Skin Dryness based on Age:
Volunteer Gender Age, year
5 Male 22
1 Male 23
4 Female 24
2 Female 25
3 Female 51
7 Male 52
6 Male 53
8 Female 56
PART B: Skin Dryness based on Age and Gender:
Volunteer Gender Age, year
5 Male 22
4 Female 24
1 Male 23
2 Female 25
3 Female 51
6 Male 53
7 Male 52
8 Female 56
Answer:
Part A:
1 male 23
4 female 24
2 female 25
5 male 27
3 female 51
7 male 52
6 male 53
8 female 56
Part B:
4 female 24
2 female 25
1 male 23
5 male 27
3 female 51
8 female 56
7 male 52
6 male 53
Part C: The outside analysis firm did not assign the treatments properly. They should give half of each block the new formula and the other half the current formula.
Step-by-step explanation:
Anya drove 2 hours to get to the train
station. Then she rode the train for 14
hours. She drove about 55 miles per
hour. The train traveled at about 80
miles per hour. How many miles did
Anya travel altogether?
3. If, over a few months, Jane saw 92 mayflies,
how many flying insects did she see ?? Need awnsers
Please look at the photo. Thank you!
The zeros with each multiplicity are given as follows:
Multiplicity one: x = 6.Multiplicity two: x = 11.Multiplicity three: x = -6 and x = -5.How to obtain the multiplicities?The factor theorem is used to define the functions, which states that the function is defined as a product of it's linear factors, if x = a is a root, then x - a is a linear factor of the function.
Considering the linear factors of the function in this problem, the zeros are given as follows:
(x + 6)³ -> zero at x = -6 with multiplicity of 3.(x - 11)² -> zero at x = 11 with multiplicity of 2.x - 6 -> zero at x = 6 with multiplicity of 1.(x + 5)³ -> zero at x = -5 with multiplicity of 3.More can be learned about the Factor Theorem at brainly.com/question/24729294
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Often when you try to learn new vocabulary words, you find that after a few days you have forgotten some of
what
you learned. Suppose you cram for a big test and memorize 100 new words, and, for each day after the
test, you forget 10 percent of the words you learned.
How many words will you remember after two weeks
Answer:
you will remember none of the words.
Step-by-step explanation:
10%of hundred words is 10.
students attend school for 5 days in a week.So if one is to forget 10 words out of 100 words every day for two weeks after a test,one loses all words.
5×10=50
for two weeks=
50×2=100.
If you have five red balls and five blue balls in a jar what’s the probability of the first ball being red?
Answer:
red balls = 5
blue balls = 5
total balls = 5 blue+5 red
= 10
\(p(first \: ball \: being \: red) = \frac{red \: balls}{total \: balls} \)
\(p(first \: ball \: being \: red) = \frac{5}{10} = \frac{1}{2} \)
Answer:
Step-by-step explanation:
Total number of red balls = 5
Total number of blue balls = 5
Total number of balls in jar = 5 + 5
= 10
Probability of the first ball being red = total number of the red ball/total number of balls in the jar
= \(\frac{5}{10}\)
= \(\frac{1}{2}\)
Therefore, the probability of the first ball being red = \(\frac{1}{2}\), 50% or 0.5 (in any way you are instructed to write it in)
Is y=- 11 linear or nonlinear?
I WILL GIVE U BRAINLIEST AND THANKS AND 5 STARS
-------------------------------------------------------------------------------------
please help this is very important
Answer:
C
Step-by-step explanation:
Answer:
Area of a rectangle=LxW
There's 2 rec's there
For the first
A= 1/3.s
For the second
L=12
W= 1/3
A = 1/3 . ( 12)
Total Area = 1/3.s + 1/3(12)
Now This can also be simplified by factorization
Total Area = 1/3(s+12)
We factored out 1/3 from both sides.
The question asked to select ALL THE EXPRESSION That represents the total area.
SO OPTION C and E
For a left-tailed test based on a sample of 18 observations with the test statistic t = 1.9, what is the associated p-value?
The associated p-value for this left-tailed t-test is 0.0359 or 3.59%.
Now, The p-value for a one-tailed t-test with a sample size of 18 and a test statistic of 1.9,
Hence, we need to look up the t-distribution table.
So, Using a one-tailed test with,
df = n - 1
= 18 - 1 = 17 degrees of freedom
We find that the area to the left of 1.9 under the curve is 0.0359.
This means that there is a 3.59% probability of observing a t-statistic less than or equal to 1.9 if the null hypothesis is true.
Therefore, the associated p-value for this left-tailed t-test is 0.0359 or 3.59%.
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Two more than a number n equals -6.
Answer:
2+n=-6
Step-by-step explanation:
To simplify n
n=-8
What is the slope and y-intercept of this line?
y=−12x+7
slope: 12, y-intercept: −7
slope: −7, y-intercept: −12
slope: −12, y-intercept: 7
slope: 7, y-intercept: −12
Answer:
(c) slope: -12, y-intercept: 7
Step-by-step explanation:
The given equation is in the slope-intercept form:
y = mx +b
In this form, m is the slope, and b is the y-intercept.
__
Comparing the given equation to the form, we see ...
y = mx +b
y = -12x +7 ⇒ m = -12, b = 7
The slope is -12; the y-intercept is 7.
Fine the missing length to the nearest 10th
The value of the missing length to the nearest tenth are;
a. x = 7.5
b. x = 7.8
What is Pythagoras theorem?Pythagoras theorem states that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse.
Therefore ;
c² = a²+b²
a. x² = 9²-5²
x² = 81-25
x² = 56
x = √56
x = 7.5 ( nearest tenth)
b. using Pythagoras theorem also!
x² = 6²+5²
x² = 36+25
x² = 61
x = √61
x = 7.8( nearest tenth).
Therefore the value of the missing values are 7.5 and 7.8
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Isabella grows several varieties of pepper plants. The following dot plots show the numbers of peppers, rounded to the nearest 555, per plant for different varieties. Each dot represents a different plant. Order the varieties from least to greatest typical number of peppers per plant.
Answer:
$215.92
Step-by-step explanation:
Answer:
correct order=
Step-by-step explanation:
i have 120g butter and 150g sugar.
1) what’s the ratio of butter to sugar?
2) what’s the ratio in the form 1:n ?
Answer:
1) 4 : 5
2) 1 : 5/4
.................................
Help pls Show work if needed
Answer:
8a) false
8b) true
8c) true
8d) false
help with horizontal asymptotes
Answer:
y = 3. last option is correct answer for 2nd question.
Step-by-step explanation:
f(x) just means y.
horizontal asymptote is y = 'something.'
the graph crosses y = 4, so y = 4 cannot be asymptote.
y = 3 is since the graph never quite touches it.
as for ∞, we see that as x approaches -∞, y almost reaches 3. but not quite. also, as x approaches +∞, y approaches +∞.
so the last option is the correct answer.
Use the quadratic formula to find the exact solutions of 3x2 − 6x + 2 = 0.
a. negative 1 plus or minus the square root of 3 divided by 3
b. 1 plus or minus the square root of 3 divided by 3
c. negative 1 plus or minus the square root of 15 divided by 3
d. 1 plus or minus the square root of 15 divided by 3
The exact solutions of the qudratic equation 3x^2 - 6x + 2 = 0 are:
a. negative 1 plus or minus the square root of 3 divided by
3 (x = (-1 ± √3) / 3) .So, option a is the correct answer.
To find the solutions of the quadratic equation 3x^2 - 6x + 2 = 0, we can use the quadratic formula, which states that for an equation of the form ax^2 + bx + c = 0, the solutions are given by:
x = (-b ± √(b^2 - 4ac)) / (2a)
In this case, a = 3, b = -6, and c = 2. Substituting these values into the formula, we have:
x = (-(-6) ± √((-6)^2 - 4(3)(2))) / (2(3))
x = (6 ± √(36 - 24)) / 6
x = (6 ± √12) / 6
x = (6 ± 2√3) / 6
x = (3 ± √3) / 3
Therefore, the exact solutions of the equation 3x^2 - 6x + 2 = 0 are:
a. negative 1 plus or minus the square root of 3 divided by 3 (x = (-1 ± √3) / 3)
So, option a is the correct answer.
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