We know how wide the billboard will be. Therefore, to know how much the original image should be enlarged, you must divide the final width of the billboard between the current width of the invoice.
We know both data, then we perform the operation:
48 feet /6.14 inches = 7.81 feet / inches
Therefore the correct answer is option D. 1″ = 7.81′
For the bill to cover the billboard, the bill must be expanded by a factor of 7.81 feet long per inch long that has the original image.
**PLEASE HELP 30 POINTS**
How many different sets of two-letter initials can you make using the letters D, G, M, D, and T if you can use each letter only once in a set?
100 points please help!! The following data show the number of dogs per house in a neighborhood: 2, 1, 3, 2, 1, 4, 1, 5, 2, 1, 3, 1 The data have been organized into a dot plot, as shown below: A dot plot with integers 1 to 5 is shown. It is labeled Dogs, and titled Dogs in Houses. There are 4 dots above 1, 3 dots above 2, 2 dots above 3, 1 dot above 4, and 1 dot above 5. For which number are the data plotted incorrectly?
A. 4
B. 3
C. 2
D. 1
Hey there! The correct answer is D.1 the reason is because the number of the data is plotted incorrectly.
A cylindrical tank is half full of oil. The cylinder has a base radius of 100cm. The height of the cylinder is 250cm. 1litre=1000cm How many litres of oil are in the tank
≈ 3927 litres
the volume (V) of a cylinder is calculated using the formula
V = πr²h ( r is the radius of base and h is the height )
V= π × 100² × 250 = 7853981.634 cm³
[tex]\frac{1}{2}[/tex] V = 3926990.817 = [tex]\frac{3926990.817}{1000}[/tex] ≈ 3927 litres
Two thirds of a number is 18work out five ninths of the number
Kim is paid $78 for 6.5 hours of work. What is her rate of pay per hour?
Answer:
Answer:
78 dollars /6.5 hours = 12 dollars .
Your rate is 12 dollars per hour.
Step-by-step explanation:
PLEASE HELP !! IT WOULD BE GREATLY APPREACIATED ! I DONT KNOW HOW TO DO THIS
(A) Bella's TV ratio of sides: 36"/27" = 1.333...
Lenny's: 52"/29.25" = 1.777...
Bella's and Lenny's TVs are NOT similar - their side ratios are different. Bella's is 4:3 while Lenny's is close to 16:9.
(B) Bella's TV has an exact ratio of 4:3 (36/27=4/3) and so is the older type.
Lenny's TV has a ratio of 52"/29.25". Divide both 52 and 29.25 by 3.25 to get 16/9, or 16:9. So Lenny's is the newer type.
Which statement is not true about General Edward Braddock?A.He captured Fort Duquesne.B.He was killed in battle.C.He did not respect colonial soldiers.D.He ignored early early warnings
Answer:
A. He captured Fort Duquesne.
Step-by-step explanation:
General Edward Braddock was fatally injured in the battle field and died of wounds. He insisted upon using open field tactics which turned out to be very fatal leading to the death of 1000 soldiers. He did ignore the early warnings of his aides regarding his strategy.
A British force led by General Edward Braddock, moving to take Fort Duquesne, was defeated by a force of French and Canadian troops under Captain Daniel Liénard de Beaujeu with its American Indian allies.
Consequently, he failed to capture Fort Duquesne. So statement A is not true.
Which best describes the association shown in the scatter plot?
A.strong positive
B.strong negative
C.moderate negative
D. no association
A- Strong Positive
Hope this helps!
Answer:
A- Strong Positive
Hope this helps!
Step-by-step explanation:
635/72=-5/4(-11/4+x)
Please help me, and show work.
Which formula can be used to determine the total number of different eight-letter arrangements that can be formed using the letters in the word DEADLINE?
A.
8!
B.
8!/4!
C.
8!/2!+2!
D.
8!/2!*2!
I think the answers D but im not sure
Answer:
Option D
Step-by-step explanation:
See the letters in the word deadline.
We have d and e repeated twice , and a,l,i,n once.
There are in total 8 letters
These 8 letters can be arranged in 8x7x6...1 = 8! ways
But since there are repititions of letters, we have 2! x 2! times repeated letters.
Hence we have to divide by 2!x2!
No of ways = [tex]\frac{8!}{2!*2!}[/tex]
Option D is right
when simplifying an expression that contains no parentheses, you always multiply before you divide.
True
or
False
Answer:
I think the answer is false I am not A 100%sure but most likely false
Step-by-step explanation:
Factor the expression completely over the complex numbers.
x^4 − 625
Enter your answer in the box.
You have to observe that [tex] x^4 [/tex] and 625 are both squares (of [tex] x^2 [/tex] and 25, respectively). So, you can use the "difference of square" pattern for factorization:
[tex] a^2-b^2 = (a+b)(a-b) [/tex]
to write
[tex] x^4 - 625 = (x^2+25)(x^2-25) [/tex]
Note that, again, [tex]x^2-25[/tex] is a difference of square:
[tex] x^2-25 = (x+5)(x-5) [/tex]
On the other hands, [tex] x^2+25 [/tex] admits no factorization, because it's a second-degree polynomial (thus a parabola) with no solutions.
So, the whole expression becomes
[tex] x^4 - 625 = (x^2+25)(x+5)(x-5) [/tex]
Two cars leave a gas station at the same time, one traveling north and the other south. The northbound car travels at 50 mph. After 3 hours the cars are 345 miles apart. How fast is the southbound car traveling?
a.
60 mph
b.
65 mph
c.
70 mph
d.
75 mph
For this case we have:
We define the following variable
x : Speed of the car in South direction
By definition, we know that:
[tex]Distance = Speed * Time[/tex]
For the car in north direction:
[tex]D1 = V1 * T1\\D1 = 50mph * 3h\\D1 = 150 miles[/tex]
For the car in south direction:
[tex]D2 = V2 * T2\\D2 = x * 3\\D2 = 3x[/tex]
The distance between both cars, after 3 hours, is:
[tex]D = D1 + D2[/tex]
So, we have:
[tex]345 = 150 + 3x[/tex]
Clearing x;
[tex]3x = 345-150\\3x = 195\\x = 65[/tex]
Thus, the speed of the car in the south direction is [tex]x = 65mph[/tex]
Answer:
Option B
Answer: B. 65 MPH
Step-by-step explanation:
Find the value of x (3x+31)° (2x-6)°
Angle (3x+31)° and angle (2x-6)° are supplementary angles. Then the value of the variable x is 31°.
What is an angle?The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.
Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.
Angle (3x+31)° and angle (2x-6)° are supplementary angles. Then we have
(3x + 31)° + (2x - 6)° = 180°
5x + 25° = 180°
5x = 155°
x = 31°
Then the value of the variable x is 31°.
Your question was incomplete, probably the question was...
Find the value of x. Angles (3x+31)° and (2x-6)° are supplementary angles.
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The value of x equals 31°.
The value of (x) can be found by solving the equation formed by the two angles in the given question:
Given angles:
Angle 1: [tex](3x + 31)^\circ[/tex]Angle 2: [tex](2x - 6)^\circ[/tex]Linear pair property: The sum of the measures of two angles forming a linear pair is (180°).
Now,
Set up the equation: (3x + 31) + (2x - 6) = 180
=> (3x + 2x) + (31 - 6) = 180
=> 5x + 25 = 180
Solve for (x): 5x = 155 => x = 31
Therefore, the value of (x) is 31°.
Disclaimer : I attached the image of complete question
ok ok THIS is the part 2 to my last question
[tex]a_1=4\\\\a_2=4+6=10\\\\a_3=10+6=16\\\\a_n=a_{n-1}+6,\ a_1=4[/tex]
Human body temperatures have a mean of 98.20 degrees Fahrenheit and a standard deviation of 0.62 degrees Fahrenheit. Convert 103.00 degrees Fahrenheit to a z-score and determine if it is usual of unusual. Unusual means that the z-score is more than 2 standard deviations below or above the mean.
Answer:
z-score will be: 7.741.... and it will be unusual.
Step-by-step explanation:
Human body temperatures have a mean of 98.20 degrees Fahrenheit and a standard deviation of 0.62 degrees Fahrenheit.
So here, [tex]\mu= 98.20[/tex] and [tex]\sigma= 0.62[/tex]
Formula for z-score is: [tex]z= \frac{X-\mu}{\sigma}[/tex]
Thus, the z-score for 103.00 degrees Fahrenheit will be.......
[tex]z(X=103.00)= \frac{103.00-98.20}{0.62}=7.741...[/tex]
As, here the z-score is more than 2 standard deviations above the mean, so 103.00 degrees Fahrenheit is unusual for human body temperature.
968,000 in Scientific notation with exponents
Answer:
9.68E5
Step-by-step explanation:
please help on this one?
m = [tex]\frac{1}{2}[/tex], (x₁ , y₁) = (-2, -4)
y - y₁ = m(x - x₁)
y -(-4) = [tex]\frac{1}{2}[/tex](x - (-2))
y + 4 = [tex]\frac{1}{2}[/tex](x +2)
y + 4 = [tex]\frac{1}{2}x[/tex] + 1
y = [tex]\frac{1}{2}x[/tex] - 3
Answer: A
please answer all of them with work will give brainliest
E. n = 3
N. x = -6
A. x = 4
H. t = 10
E. v = -5
I. x = -8
T. y = 2
A. m = -16
Y. k = 7
S. x = -1
T. d = -12
F. u = 29
C. y = 1
E. 20n - 28 =10n+2
10n= 30
n=3
N. 9x+27 =4x-3
5x = -30
x= -6
A. 24-16x =x-11x
24 = 6x
x= 4
H . 3t + 16t-48= 2+14t
5t =50
t= 10
E. 2v+18= 16 -4v -28
6v = -30
v=-5
I. 4x-9 +3x=8x-1
x=8
T. 24+12y =10y+40
2y =16
y=8
At a car dealership yesterday, the ratio of minivans sold to cars sold was 3:5, I'd the dealership sold 12 minivans, how many were sold?
It's b
Hope I'm right
If minivans and cars were sold at a 3:5 ratio each day and there were 12 minivans sold yesterday they would have sold 20 cars.
You can find this by dividing 12(the number of minivans sold) by 3(the ratio of vans v.s. cars), which equals 4. To find the amount of cars sold, use the same method, only multiply with by the ration of cars. 5*4 = 20
_______ of functions are roots of polynomial equations. Zero(s) minimum(s) maximum(s) y-intercept(s)
Write the linear factorization of f(x)=x^4 - 2x^3 + 2x - 1
[tex]f(x)=x^4-2x^3+2x-1=x^4-x^3-x^3+x+x-1\\\\=x^3(x-1)-x(x^2-1)+1(x-1)\\\\=x^3(x-1)-x(x^2-1^2)+1(x-1)\\\\=x^3(x-1)-x(x+1)(x-1)+1(x-1)\\\\=x^3(x-1)+(x-1)(-x(x+1)+1)\\\\=(x-1)(x^3-x(x+1)+1)\\\\=(x-1)(x^3-x^2-x+1)\\\\=(x-1)[x^2(x-1)-1(x-1)]\\\\=(x-1)(x-1)(x^2-1)\\\\=(x-1)(x-1)(x^2-1^2)\\\\=(x-1)(x-1)(x-1)(x+1)[/tex]
[tex]Used:\\\\a^2-b^2=(a-b)(a+b)[/tex]
Round the nearest whole percent what is 49 to 149
33%
Solution:Percentage = 49/149 * 100
= 32.88%
Round the answer:
= 33%
Find f(3) 1 point Multiple choice + Graph!
we know that
f(3) is the value of the function when x is equal to 3
so
For x=3
see in the graph
f(3)=6
see the attached figure
therefore
the answer is
f(3)=6
According to the graph in the problem, f(3) = 6
How to find the valueIn the graph we have curve and line. we look out for domain of 3
The domain of 3 is the point on the graph where x axis is 3. At this point we trace to the graph and find the corresponding value on the y axis
This gives the solution of the graph
Learn more about graph
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Marla believes she has a 3/8 probability of being selected to head a committee. What is the probability that she won't be selected to head the committee?
A) 3/8
B) 1/2
C) 5/8
D) 3/4
The formula for the perimeter of a rectangle is P=2(l+w).
Solve for w.
w=2P−l
w=p−l/2
w=p/2−l
w=P/2+l
The formula for 'w' in terms of the perimeter 'P' and length 'l' of the rectangle is w = (P - 2l)/2.
To solve for 'w' in the formula for the perimeter of a rectangle, P = 2(l + w), we need to isolate 'w' on one side of the equation.
P = 2(l + w)
First, distribute the 2 to both terms inside the parentheses:
P = 2l + 2w
Now, subtract 2l from both sides to move it to the other side of the equation:
P - 2l = 2w
Finally, divide both sides by 2 to solve for 'w':
w = (P - 2l)/2
Therefore, the formula for 'w' in terms of the perimeter 'P' and length 'l' of the rectangle is:
w = (P - 2l)/2
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What's the name of the line segment that passes through the center of a circle and has both endpoints on the circle?
The correct answer would be diameter. A chord is a line segment connecting two points on a circle's circumference. When the chord passes through the center of a circle it is called a diameter.
Final answer:
The line segment that passes through the center of a circle and has both endpoints on the circle is called a diameter.
Explanation:
The line segment which passes through the center of a circle and has both endpoints on the circle is called a diameter.
A diameter is the longest chord in a circle and it divides the circle into two equal halves. It passes through the center, and any point on the circumference of the circle is equidistant from the center.
For example, in the circle below, AB is a diameter:
what is the value xy under w if x=-3 y=4 and w=-6
[tex]\frac{w}{xy} = \frac{-6}{-3(4)} = \frac{-6}{-12} = \frac{1}{2}[/tex]
Answer: [tex]\frac{1}{2}[/tex]
What is the product? Enter your answer as a fraction, in simplified form, in the box. −4/5⋅10/16
Answer:
-1/2
Step-by-step explanation:
-4 x 10= -40
-5 x 16= -80
-40 is half of -80, so the fraction would be -1/2
Hope this helps! <3
The product of the given expression of a fraction is -1/2.
It is required to find the product.
What is fraction?A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator.
Given:
The product of the given expression of fractions in simplified form.
According to given question we have,
[tex]\frac{-4}{5} *\frac{10}{16} \\\\=\frac{-40}{80} \\\\=\frac{-1}{2}[/tex]
so, the fraction would be -1/2.
Therefore, the product of the given expression of a fraction is -1/2.
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What is the focus of the parabola given by `-(1)/(4)(y + 2)^2 = (x −1)`? A. (-1, 2) B. (1, -2) C. (0, -2) D. (0, 2)
The correct answer is that the focus is, (0,−2)
Answer:
The correct option is C.
Step-by-step explanation:
The given equation is
[tex]-\frac{1}{4}(y+2)^2=(x-1)[/tex]
Multiply both the sides by -4.
[tex](y+2)^2=-4(x-1)[/tex] .... (1)
Where, (h,k) is vertex and (h+p,k) is focus.
The standard form of a parabola is
[tex](y-k)^2=4p(x-h)[/tex] ..... (2)
From (1) and (2), we get
[tex]k=-2,h=1,4p=-4\Rightarrow p=-1[/tex]
The focus of the parabola is
[tex](h+p,k)=(1-1,-2)=(0,-2)[/tex]
The focus of the given parabola is (0,-2). Therefore the correct option is C.