Answer:
9f
Step-by-step explanation:
3f + 7f - f = 9f
Answer:
3f + 7f -f equals 9f
Step-by-step explanation:
First, you would add 3f and 7f together making 10f. Then you will subtract 10f from f and get 9f.
Which number represents a temperature below zero? –4° F 0° F 4° F 6° F
what does
QR=
PR=
M
We need to use Right Angled Triangle Properties.
PR≈15 and QR≈12 is the length of the sides.
What is a Right Angled Triangle?
According to the definition of a right triangle, a triangle is referred to as a right-angled triangle or simply a right triangle if one of its angles is a right angle (90o). Triangle PQR is a right triangle in the illustration, and its components are its base, height, and hypotenuse. Here, QR is the base, PQ is the height, and PR is the hypotenuse. The essential side of a right triangle is its hypotenuse, which is also its largest side and sits across from the triangle's right angle.
In a right triangle we have: (Hypotenuse)2 = (Base)2 + (Altitude)2
Area of a right triangle = (1/2 × base × height) square units.
Calculation:PR is the Hypotenuse of the Triangle.
PQ=9
Angle ∡PQR=37° and Angle ∡RPQ=53°
So Sin(theta)=opposite side/Hypotenuse
⇒Sin(37°)=9/Hypotenuse
⇒Hypotenuse=9/0.6018
⇒Hypotenuse=14.955
PR⇒14.955
We know that (Hypotenuse)2 = (Base)2 + (Altitude)2
⇒(14.955)2=(9)2+(QR)2
QR=11.9438
PR≈15 and QR≈12
We need to use Right Angled Triangle Properties.
PR≈15 and QR≈12 is the length of the sides.
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Please make sure to properly format your answers. All dollars figures in the answers need to include the dollar sign and any amount over 1,000 should include the comma ($2,354.67). All percentage values in the answers need to include a percentage (%) sign. For all items without specific rounding instructions, round your answers to two decimal places, show both decimal places (5.06).
A recent survey by the American Automobile Association showed that a family of two adults and two
children on vacation in the United States will pay an average of $247 per day for food and lodging with a
standard deviation of $60 per day. Assuming the data are normally distributed, if the family had a z-score
of 1.5, what was their daily expense for food and lodging?
If the data are normally distributed, find the percentage of these families who spent:
1. Less than $167 per day.
2.Less than $367 per day.
3.More than $247 per day.
4.More than $350 per day.
5.Less than $67 per day.
6.Between $200 and $300 per day.
7.Between $360 and $400 per day.
8.More than the median.
9.Less than the mean.
Answer:
Step-by-step explanation:
To find the daily expense for food and lodging for the family, we can use the formula:
z = (x - μ) / σ
where z is the z-score, x is the daily expense for food and lodging, μ is the mean daily expense, and σ is the standard deviation. Rearranging this formula to solve for x, we get:
x = z * σ + μ
Substituting z = 1.5, σ = $60, and μ = $247, we get:
x = 1.5 * $60 + $247 = $337
Therefore, the daily expense for food and lodging for the family was $337.
To find the percentage of families who spent less than $367 per day, we can standardize the value using the same formula as above:
z = (x - μ) / σ
Substituting x = $367, μ = $247, and σ = $60, we get:
z = ($367 - $247) / $60 = 2
Using a standard normal distribution table or calculator, we can find the percentage of families with a z-score less than 2, which is approximately 97.72%. Therefore, approximately 97.72% of families spent less than $367 per day.
To find the percentage of families who spent more than $247 per day, we can use the same formula and standardize the value:
z = (x - μ) / σ
Substituting x = $247, μ = $247, and σ = $60, we get:
z = ($247 - $247) / $60 = 0
Using a standard normal distribution table or calculator, we can find the percentage of families with a z-score greater than 0, which is 50%. Therefore, 50% of families spent more than $247 per day.
To find the percentage of families who spent more than $350 per day, we can standardize the value:
z = (x - μ) / σ
Substituting x = $350, μ = $247, and σ = $60, we get:
z = ($350 - $247) / $60 = 1.72
Using a standard normal distribution table or calculator, we can find the percentage of families with a z-score greater than 1.72, which is approximately 4.35%. Therefore, approximately 4.35% of families spent more than $350 per day.
To find the percentage of families who spent less than $67 per day, we can standardize the value:
z = (x - μ) / σ
Substituting x = $67, μ = $247, and σ = $60, we get:
z = ($67 - $247) / $60 = -3.00
Using a standard normal distribution table or calculator, we can find the percentage of families with a z-score less than -3.00, which is approximately 0.13%. Therefore, approximately 0.13% of families spent less than $67 per day.
To find the percentage of families who spent between $200 and $300 per day, we need to standardize both values and find the area between them. Using the same formula as above:
z1 = ($200 - $247) / $60 = -0.78
z2 = ($300 - $247) / $60 = 0.78
Using a standard normal distribution table or calculator, we can find the percentage of families with a z-score between -0.78 and 0.78, which is approximately 53.91%. Therefore, approximately 53.91% of families spent between
At a baseball game, a vender sold a combined total of 191 sodas and hot dogs. The number of hot dogs sold was 47 less than the number of sodas sold. Find the number of sodas sold and the number of hot dogs sold.
The number of sodas sold at the baseball game was 119, while the number of hot dogs sold was 72.
Let's assume the number of sodas sold as 'x' and the number of hot dogs sold as 'y'.
According to the problem, the total number of sodas and hot dogs sold is 191, so we can write the equation:
x + y = 191 ...(1)
The problem also states that the number of hot dogs sold was 47 less than the number of sodas sold. Mathematically, we can express this as:
y = x - 47 ...(2)
To find the values of x and y, we can solve the system of equations (1) and (2). Substituting equation (2) into equation (1), we have:
x + (x - 47) = 191
Simplifying the equation:
2x - 47 = 191
2x = 191 + 47
2x = 238
Dividing both sides by 2:
x = 238/2
x = 119
Substituting the value of x back into equation (2):
y = 119 - 47
y = 72
As a result, the total amount of sodas sold is 119, and the total amount of hot dogs sold is 72.
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Stella is writing an essay. She writes 2 pages in 16 minutes. The number of pages represented by p and time is represented by t. [2 points]
Part A) Fill in the table below.
Pages (p) Time (t)
2 16
(a) 32
5 (b)
Answer:
I think the answer is 32
Step-by-step explanation:
if you multiply 16×2 it will equal 32
What are the 10 types of polynomials?
The types of Polynomials are as follows: Monomial, binomial, trinomial, quadranomial, quintrinomial, Linear, quadratic, cubic and biquadratic.
What is a polynomial?Sums of terms of the form in, where k is any number and n is a positive integer, make up polynomials. For instance, the polynomial 3x+2x-5. a description of polynomials. The concepts degree, standard form, monomial, binomial, and trinomial are all covered in this video.
What distinguishes a polynomial?By noticing which formulas only contain the operations of addition, subtraction, multiplication, and non-negative integer exponents, the polynomials can be located. Expressions with additional operations are considered non-polynomial expressions.
No part of an algebraic expression should be - Variables' square roots. variable powers that are fractional. variable powers that are negative. variables in any fraction's denominator.
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The points (-7,r) and (5,1) lie on a line with slope 1/2. Find the missing coordinate r.
Answer:
r = -23
Step-by-step explanation:
A slope of 1/2 means that for every y-value increase of 1, the x value will increase by 2.
Between -7 and 5, there was an increase of 12. So, the x value will increase by 24.
To find r, subtract 24 from 1
1 - 24
= -23
So, r = -23
Calculate the magnitude of :
1.1.
\( \alpha \)
Answer:
135°
have a nice day
hope it helps
37.392 ÷ 0.09
Round your answer to the nearest hundredth..
Answer:
415.47
Step-by-step explanation:
37.392/0.09 which is 415.47( rounded)
Hope this helps hit the crown :D
Six years ago,the sum of the ages of two brothers was 22, find the age of the older brother
The age of the older brother is 13
How to determine the age of the elder brotherFrom the information given, let their ages by x and y
This is represented as;
x + y = 22
(x - 6) (y -6) = 21
From equation (1), make x, the subject of formula
x = 22 - y (3)
Substitute equation (3) in equation (2), we get;
(22 - y- 6)(y - 6) = 21
expand the brackets
(16 - y)(y-6) = 21
16y - 96 - y² +6y = 21
collect iike terms
-y² + 22y - 96 - 21 = 0
subtract like terms
-y² + 22y - 117 = 0
y²- 22y + 117 = 0
Find the pairs factors of 117 and substitute the values
y² - 13y - 9y + 117 = 0
(y² - 22y) - (9y + 117) = 0
factorize
y(y - 22) - 9(y - 22) = 0
Then y = 9 and y = 22
The older brothers age = x = 22 - y = 22- 9 = 13
Hence, the value is 13
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The complete question:
The sum of the ages of two brothers is 22 years. Six years ago, the product of their ages was 21 years. What is the age of the elder brother?
Quickly!!! A turtle and a snail are 300 feet apart when they start moving towards each other. The turtle is moving at a speed of 5 feet per minute, and the snail is moving at a speed of 1 foot per minute.how fast are the turtle and snail approaching each other
Answer:
6 feet per minute.
Step-by-step explanation:
The turtle and snail are moving towards each other, so their speeds add up. Therefore, the combined speed at which they approach each other is:
5 feet/min (turtle's speed) + 1 feet/min (snail's speed) = 6 feet/min
Therefore, the turtle and snail are approaching each other at a speed of 6 feet per minute.
Answer:
6 feet per minute.
what is the percentage of change from 12 to 19
Answer:
(19-12):12*100 =
(19:12-1)*100 =
158.33333333333-100 = 58.33
What is the area of this rectangle? Rectangle with width 5.1 cm and height 11.2 cm. Responses 16.3 cm2 16.3 cm, 2 32.6 cm2 32.6 cm, 2 57.12 cm2 57.12 cm, 2 571.2 cm2
The area of a rectangle with a width of 5.1 cm and a height of 11.2 cm is 57.12 cm².
To find the area of a rectangle, we multiply its length by its width. In this case, the width is given as 5.1 cm and the height (or length) is given as 11.2 cm.
Area = length × width
Area = 11.2 cm × 5.1 cm
Calculating the product, we get:
Area = 57.12 cm²
Therefore, the area of the rectangle is 57.12 cm².
The correct answer is: 57.12 cm².
It is important to note that when calculating the area of a rectangle, we should always include the appropriate unit of measurement (in this case, cm²) to indicate that we are dealing with a two-dimensional measurement. The area represents the amount of space covered by the rectangle's surface.
So, the area of a rectangle with a width of 5.1 cm and a height of 11.2 cm is 57.12 cm².
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The range of y = –2x to the 4th power + 7?
Answer: y ≤ 7
Step-by-step explanation:
brainlest
Answer fast please.
The first three terms of a sequence are given. Round to the nearest thousandth (if necessary).
12,18,27,...
Find the 7th term.
The 7th term of the sequence is 136.6875
How to determine the 7th of the sequence?From the question, we have the following sequence that can be used in our computation:
12, 18, 27....
In the above sequence, we can see that the previous term is multiplied by 1.5 to get the current term
Using the above as a guide,
So, we have the following representation
aₙ = 1.5aₙ₋₁
a₄ = 1.5 * 27
Evaluate the products
a₄ = 40.5
Solving further, we have
a₅ = 40.5 * 1.5
Evaluate the products
a₅ = 60.75
Solving further, we have
a₆ = 60.75 * 1.5
Evaluate the products
a₆ = 91.125
Solving further, we have
a₇ = 91.125 * 1.5
Evaluate the products
a₇ = 136.6875
Hence, the 7th term is 136.6875
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A model rollercoaster is built to a scale of 1:32. In the model rollercoaster, the angle between the ground and the steepest slope is 110°. What is the angle between the ground and steepest slope on the real rollercoaster?
The angle between the ground and the steepest slope on the real rollercoaster is approximately 89.998°.
A model rollercoaster is built to a scale of 1:32. In the model rollercoaster, the angle between the ground and the steepest slope is 110°.What is the angle between the ground and the steepest slope on the real rollercoaster?
To determine the angle between the ground and the steepest slope on the real rollercoaster, you need to consider the scale of the model rollercoaster.To find the real rollercoaster angle, you should use a scale factor that relates the model rollercoaster to the real one.
The scale factor should multiply the model angle to obtain the real one. Since the scale factor relates the model length to the real length, it should relate the horizontal distance and the vertical height.
The horizontal and vertical lengths are in a ratio of 32:1 for the model. This means that for every 32 units in the model, there is one unit in the real rollercoaster. Therefore, we can say that the horizontal length of the real rollercoaster is 32 times the horizontal length of the model rollercoaster.
That is:h(real) = 32h(model)Similarly, the vertical height of the real rollercoaster is 32 times the vertical height of the model rollercoaster. That is:v(real) = 32v(model)
The tangent of an angle equals the vertical height divided by the horizontal distance. Therefore, the tangent of the real angle equals the tangent of the model angle times the scale factor.
That is:tanθ(real) = 32tanθ(model)By substitution,θ(real) = arctan(32tanθ(model))For the given model angle of 110°,
the corresponding real angle is:θ(real) = arctan(32tan110°)θ(real) = arctan(32(-2.74747741945462))θ(real) = arctan(-87.91927694142864)θ(real) ≈ -89.998°
The negative sign indicates that the angle is measured below the horizontal line.
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You dont have to help but it would be nice if you would :)
Ethan invested $25,000 in an account that earns 4.25% simple interest. If Ethan doesn't make any additional deposits or withdrawals, how much interest will he have earned after 9 years?
Answer:
I think it might be $36,360.06
Step-by-step explanation:
there are 30 cupcakes in a tin. 16 of the cupcakes are iced of which 3 contain walnuts. 5 cupcakes are neither iced nor contain walnuts. work out the probability that the cupcake picked at random contains walnuts
The probability that the cupcake picked at random contains walnuts is given as follows:
0.4 = 40%.
How to calculate a probability?A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.
There are 30 cupcakes in a tin, hence the total number of outcomes is given as follows:
30.
The number of cupcakes with walnuts is given as follows:
3 that are also iced.30 - (16 + 5) = 9 that are not iced.Hence the probability that the cupcake picked at random contains walnuts is obtained as follows:
p = (3 + 9)/30
p = 12/30
p = 0.4.
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50 points for 3 questions. solve and explain please.
(1) The value of x is determined as 16.8.
(2) The measure of length VX is calculated as 4.1.
(3) The measure of angle UWV is 69.5⁰.
What is the value of the missing lengths of the triangle?
The value of the missing lengths of the triangle is calculated by applying the following formula;
(1) For the two similar triangles, the value of x is calculated as follows;
20 / (28 - x) = 30 / x
20x = 30 (28 - x )
20x = 840 - 30x
20x + 30x = 840
50x = 840
x = 840 / 50
x = 16.8
(2) The measure of length VX is calculated by applying trig ratios.
tan 63 = 8 / VX
VX = 8 / tan 63
VX = 4.1
(3) The measure of angle UWV is calculated as follows;
angle T = 360 - (94 + 127) = 139
angle UWV = ¹/₂ x 139 (angle at circumference is half of angle at center)
angle UWV = 69.5⁰
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Find the number of ways of
arranging the letters of the
words DANGER, so that no vowel
occupies odd place.
Answer: 6 * 24 = 144 ways.
Step-by-step explanation:
Solution:
Given word => DANGER.
The condition is that vowels can't occupy odd places so, we will let them occupy even places.
A total number of arrangements will be = 6 * 24 = 144 ways.
Answer: 6x24 = 144 ways.
At Sidney's Hats, 84% of the 50 hats are baseball caps. How many baseball caps are there?
Answer:
thats what i said
Step-by-step explanation:
Find the lateral area of the cylinder.
Answer:
\(A=440\ m^2\)
Step-by-step explanation:
Given that,
The diameter of the cylinder, d = 10 m
Hight, h = 14 m
Radius, r = d/2 = 5 m
We need to find the lateral area of the cylinder. The formula for the lateral area of the cylinder is given by :
\(A=2\pi rh\\\\A=2\times \dfrac{22}{7} \times 5\times 14\\A=440\ m^2\)
So, the lateral surface area of the cylinder is equal to \(440\ m^2\).
Management of natural resources can affect the sustainability of human populations. For example, consider an effort to decontaminate a small village’s water supply. This effort is projected to increase the carrying capacity from an initial population of 400 people (P=400) to 450 people (K = 450) during the course of 10 years (x=10). Use the simulation to determine the growth rate r of the population in this village.
The growth rate of the population, given the initial population and the population after 10 years is 12. 5 % every 10 years.
How to find the growth rate ?To find the percent change or growth rate of a quantity between two different values, you can use the formula:
Percent change = ( new value - old value ) / old value x 100%
The new value would be the population of the village after 10 years which is 450 people.
The old value is the initial population of the village which is 400
The growth rate of the population is:
= ( 450 - 400 ) / 400 x 100 %
= 12. 5 %
The growth rate for the village is therefore 12. 5 % every ten years.
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S-348
a-1.7 t
Area
Perimeter
Type
s = 3.3 yds
a = 1 65 yds
Area
Perimeter:
Type:
7)
s=5.4 mm
a = 2.57 mm
Area:
Perimeter:
Type:
Identify and Calculate the Area and Perimeter for ea
2)
a-8.2 yds
c-94 yds
Area
Perimeter.
Type:
5)
a
b
Ares
8)
a 66 cm
Triangle
h
Perimeter
Type.
Area
b-4.6 yds
a
h- 5.98 cm
Trapezoi
a=2.5 cm
a-1.25 cm
Perimeter
Type
Can someone solve help solve these???
Use quiver to create a clear slope field for the differential equation.
dy/dt= sin(y) + sin(t)
Answer:
The Matlab code along with the plot of slope field for the given differential equation is provided below.
Step-by-step explanation:
Matlab quiver function:
The Matlab's quiver function may be used to plot the slope field lines for any differential equation.
The syntax of the function is given by
quiver(x, y, u, v)
Where matrices x, y, u, and v must all be the same size and contain corresponding position and velocity components.
Matlab Code:
[t,y] = meshgrid(0:0.2:2, 0:0.2:2);
v = sin(y) + sin(t);
u = ones(size(v));
quiver(t,y,u,v)
xlabel('t')
ylabel('y(t)')
xlim([0 2])
ylim([0 2])
Output:
The plot of the given differential equation is attached.
A equation of a line in slope intercept form with the given slope and Y-intercept slope: -4, Y-intercept : -9
Answer:
y = -4x - 9
Step-by-step explanation:
Use slope intercept form, y = mx + b, where m is the slope and b is the y intercept.
Since we are already given the slope and y intercept, we just have to plug them into the equation to find the equation:
y = mx + b
y = -4x - 9
So, y = -4x - 9 is the equation of the line in slope intercept form
A meal plan lets students buy $20 meal cards. Each meal card lasts about 8 days. write and graph equation
Step-by-step explanation:
Given that,
A meal plan lets students buy $20 meal cards.
Each meal card lasts about 8 days.
Let us assume that y denotes number of days for a 20 dollar meal card i.e. $20 every 8 days.
Let x = number of $ for another day.
So,
\(y=\dfrac{8}{20}x+8\)
\(y=\dfrac{2}{5}x+8\)
Hence, this is the required equation.
Which is the graph of F(x) = (4)?
Answer:
Slope : 0 and the y- Intercept would be : (0,4)
Step-by-step explanation:
Answer:
Graph the line using the slope and y-intercept, or two points.
Slope: 0
y-intercept: (0,4)
Step-by-step explanation:
The value of y at the point where a curve crosses the y-axis.
GIVING 100 POINTS FOR THESE 3 PROBLEMS
Answer:
Step-by-step explanation:
\(A=\frac{a+b}{2}*h=\frac{4+7}{2}*3=16.5cm^2\)
\(A=\frac{ab}{2} =\frac{4*6}{2} =12in^2\)
\(A=wl=6*5=30in^2\)
\(12+30=42in^2\)
\(A=\frac{a+b}{2}h=\frac{28+40}{2}*30=1020ft^2\)
Wall = A=\(\frac{ab}{2} =\frac{6*30}{2}=90ft^2\)
Answer:
16.5cm²42in²90ft²Step-by-step explanation:
Question 1:
A = (a+b/2)h
A = (4+7/2)3
A = (11/2)3
A = (5.5)3
A = 16.5cm²
Question 2:
A = bh/2 = 6*4/2 = 24/2 = 12
A = bh = 6*5 = 30
A = 12 + 30 = 42
A = 42in²
Question 3:
A = (a+b/2)h
A = (28+40/2)30
A = (68/2)30
A = (34)30
A = 1020ft²
A = bh/2
A = 30*6/2
A = 180/2
A = 90ft²
Best of Luck!
Solve for x, please help
Answer:
x = 18
Step-by-step explanation:
ΔABC ≅ ΔDEC
∠ B ≅ ∠E
40 = 2x + 4
-2x = 4 - 40
-2x = -36
2x = 36
x = 36/2
x = 18