We have the following:
\(b+2+2-7b\)solving:
\(b+2+2-7b=4-6b\)The answer is 4 - 6b
On a hot summer day, Leah and her friends decided to have a water fight. They threw water balloons for 24 minutes. When all the water balloons were gone, they sprayed water with hoses for 1 hour and 7 minutes. The water fight ended at 3:47 P.M. when Leah's dad showed up with ice cream. What time did the water fight start?
Answer:
24+24=108
1hour 7min
time=3:47-1 7minutes
3-1=2
47-7=40
as)2:40pm
V.4 Area and circumference of
The area of a circle is 12.56 square kilometers. What is the circle's circumference
Use 3.14 for л.
Submit
kilometers
Answer:
12.56 km
Step-by-step explanation:
The circumference of a circle is given by
\(c = 2\pi \: r\)
let's find the radius
the area of a circle is given by
\(a = \pi \: {r}^{2} \)
12.56 = 3.14 r²
r² = 12.56/3.14
r² = 4
r = √4
r = 2
let's find the circumference
C = 2πr
C = 2 × 3.14 × 2
C = 12.56 km
I hope this helps
What decimal number is represented by the shaded part
Answer:
The decimal that represents the shaded portion of the figure is 0.75.
Step-by-step explanation:
Los 1600 euros de alquiler de un terreno se reparten entre tres ganaderos que llevan alli a pastar sus ovejas. Como no tienen el mismo número de ovejas, deciden pagar proporcionalmente al número de ovejas de cada uno. Si el primero tiene 120 Ovejas,el segundo 72 y el tercero 68. ¿ Cuánto paga cada uno?
So, each farmer pays the following amounts: The first farmer pays 738.40 euros. The second farmer pays 443.04 euros. The third farmer pays 418.56 euros
What is proportion?Proportion refers to the equality of two ratios. In other words, when two ratios are set equal to each other, they form a proportion. A proportion is typically written in the form of two fractions separated by an equals sign, such as a/b = c/d. Proportions are commonly used in mathematics to solve problems involving ratios and proportions, such as finding missing values or scaling up or down a given quantity.
Here,
To find out how much each farmer pays, we need to determine the proportion of the total rent that each farmer owes based on the number of sheep they have. First, we need to find the total number of sheep:
120 + 72 + 68 = 260
The first farmer has 120 sheep, which is 46.15% of the total number of sheep (120/260). Therefore, the first farmer owes 46.15% of the rent:
0.4615 x 1600 = 738.40 euros
Similarly, the second farmer has 72 sheep, which is 27.69% of the total number of sheep (72/260). Therefore, the second farmer owes 27.69% of the rent:
0.2769 x 1600 = 443.04 euros
The third farmer has 68 sheep, which is 26.15% of the total number of sheep (68/260). Therefore, the third farmer owes 26.15% of the rent:
0.2615 x 1600 = 418.56 euros
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Complete question:
The rent of 1600 euros for a piece of land is divided among three farmers who graze their sheep there. As they do not have the same number of sheep, they decide to pay proportionally according to the number of sheep each has. If the first one has 120 sheep, the second 72, and the third 68. How much does each one pay?
Need help solvin this
Answer:
rational and real
Step-by-step explanation:
5/9 is not an integer which means it's not a whole or natural number either. It's not irrational which means that it is a rational and real number.
A line passes through the point (7,9) and has a slope of 2.
Write an equation in slope-intercept form for this line.
Answer: y = 2x - 5
Step-by-step explanation:
slope- intercept form is always written as y = mx + b, where m = slope, and b is the y-intercept.
To find b, substitute the point and the slope into the equations, you will get:
y = mx + b
9 = 2(7) + b
9 = 14 + b
-5 = b
Plug in m and b into the equation, we get:
y = mx + b
y = 2x + (-5)
y = 2x - 5
I NEES HELP STATISTICS
Calculate the work done when a load of 50N is lifted through a distance of 6m.
The amount of work done when a load of 50 newton is lifted through a distance of 6m is 300 joules.
What is the amount of work done in lifting the load?Work done is simply the energy transfer that takes place when an object is either pushed or pulled over a distance by an external force.
It is expressed as;
Work done = force × distance
Given the data in the question;
Force applied = 50N = 50kgm/s²Distance covered = 6mWork done = ?To determine the work done, plug the given values into the above formula and solve W.
Work done = force × distance
Work done = 50kgm/s² × 6m
Work done = 50kgm²/s² × 6
Work done = 300kgm²/s²
Work done = 300J
Therefore, 300 joules is the work done in lifting the load.
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please help me asap due today
Answer:
Choice D
Step-by-step explanation:
Since it is a straight one line, the y-intercept (3) stays the same. For the x, it changes so you will have to add both x intercept (2 and 10) and divide by 2. So that gives 12/2 =6 (the x intercept), and since it's one straight line the y intercept remains the same (3)
Answer:
D(6,3)
step-by-step explanation.
PLEASEE help me to SOLVE this
Answer:
are you looking to graph this?
Step-by-step explanation:
Which of the following systems of inequalities has point D as a solution?
Answer:
f(x) \(\leq\) 3x + 4
g(x) ≥ -1/2x - 5
Step-by-step explanation:
Point D is below f(x) and above g(x)
Helping in the name of Jesus.
i need help with this.
Answer:
ubeovgtnwjggswgtepibvqyytkhfhduygvtqyaccjvgvdbbetedgtdgyegghjgdbecdkbfbgdhebhjegeckgbkhbeiubuvvsakvhfe
Step-by-step explanation:
hrtrrrrrrrrrrrrrrrrhhhhhhrhhhhhhhhhhhhhhhhhhhhhhhhhhhhrhhrhhrrhhhrhhhhh
Instructions: Use the ratio of a 30-60-90 triangle to solve for the variables. Leave your answers as radicals in simplest form.
If you are using a screen-reader, please consult your instructor for assistance.
x=
y=
Using the ratio of the sides, we have:$x\sqrt{3} = 12\sqrt{3}$ (opposite the $60^{\circ}$ angle is 12$\sqrt{3}$)$x = 2\sqrt{3}\cdot6$ (the hypotenuse is $2x = 12\sqrt{3}$)Simplifying, we have:$x = 12\sqrt{3}$. Therefore $x=y=12\sqrt{3}$, which is our answer
In a 30-60-90 triangle, the sides have the ratio of $1: \sqrt{3}: 2$. Let's apply this to solve for the variables in the given problem.
Instructions: Use the ratio of a 30-60-90 triangle to solve for the variables. Leave your answers as radicals in simplest form. x=y=Let's first find the ratio of the sides in a 30-60-90 triangle.
Since the hypotenuse is always twice as long as the shorter leg, we can let $x$ be the shorter leg and $2x$ be the hypotenuse.
Thus, we have: Shorter leg: $x$Opposite the $60^{\circ}$ angle: $x\sqrt{3}$ Hypotenuse: $2x$
Now, let's apply this ratio to solve for the variables in the given problem. We know that $x = y$ since they are equal in the problem.
Using the ratio of the sides, we have:$x\sqrt{3} = 12\sqrt{3}$ (opposite the $60^{\circ}$ angle is 12$\sqrt{3}$)$x = 2\sqrt{3}\cdot6$ (the hypotenuse is $2x = 12\sqrt{3}$)Simplifying, we have:$x = 12\sqrt{3}$
Therefore, $x=y=12\sqrt{3}$, which is our answer.
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Please help me AND ALSO PLEASE EXPLAIN HOW YOU WORKED IT OUT thank you.
Find the value of y.
The value of y is 4√3
What are similar triangles?Similar triangles have the same corresponding angle measures and proportional side lengths. The corresponding angles of similar triangles are congruent or equal.
Also , the ratio of corresponding sides of similar triangles are equal.
There are two triangles that are similar
Therefore;
y /16 = 4/y
y² = 48
y = √48
y = √16 × √ 3
y = 4√3
Therefore, the value of y is 4√3
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1
222
2
599
3
209
Helpppopo
Answer:
∠1 = 36°
∠2 = 122°
∠3 = 122°
∠4 = 38°
Step-by-step explanation:
∠2 = 180°-58° (Supplementary angles add up to 180°)
= 122°
∠2 = ∠3 (Vertically opposite angles are equal)
= 122°
∠1 = 180°-122°-22° (Sum of angles in a triangle is 180°)
= 36°
∠4 = 180°-122°-20° (Sum of angles in a triangle is 180°)
= 38°
Simplify: (4w³ - 4) + (2w³ + 6w + 9)
Bring the like terms together by rearranging the question4w³+2w³+6w+9-4Answer 6w³+6w+5
What is the volume of the prism?
Enter your answer, as a mixed number in simplest form, in the box.
Answer:
\(115 \dfrac{1}{2}\:cm^3\)
Step-by-step explanation:
The volume of a rectangular prism is the product of each of the sides of the prism
Given the sides have lengths
\(3\dfrac{1}{2}, 6 \;and\; 5 \dfrac{1}{2} cm\)
the volume would be
\(3\dfrac{1}{2} \times 6 \times 5 \dfrac{1}{2}\)
To perform this multiplication, convert mixed fractions to improper fractions first
Use the rule that mixed fraction
\(a\dfrac{b}{c}=\dfrac{a\times \:c+b}{c}\)
\(3\dfrac{1}{2}=\dfrac{3\times 2+1}{2} = \dfrac{7}{2}\)
\(5\dfrac{1}{2}=\dfrac{5\times 2+1}{2}= \dfrac{11}{2}\)
Therefore
\(3\dfrac{1}{2}\times \:6\times \:5\dfrac{1}{2}\\\\= \dfrac{7}{2}\times \:6\times \dfrac{11}{2}\\\\= \dfrac{7}{2}\times \dfrac{6}{1}\times \dfrac{11}{2} \quad(6 = \dfrac{6}{1})\)
\(=\dfrac{7\times \:6\times \:11}{2\times \:1\times \:2}\\\\= \dfrac{462}{4}\\\)
Divide numerator and denominator by 2 to get
\(\dfrac{231}{2}\\\)
Convert improper fraction \(\dfrac{231}{2}\) to mixed fraction using quotient/remainder
\(\dfrac{231}{2} \\\\\rightarrow Quotient: 115\\\\\rightarrow Remainder = 231 - 115 \times 2 = 231 - 230 = 1\)
\(\dfrac{231}{2} = 115 \dfrac{1}{2}\)
Consider a triangle ABC like the one below suppose that C equals 32 vehicles 44 and C equals 27° the figure is not drawn to scale solve the triangle
On solving the provided question we can say that As a result, the triangle is resolved.
what is trigonometry?The study of the relationship between triangle side lengths and angles is known as trigonometry. The concept first originated in the Hellenistic era, during the third century BC, due to the application of geometry in astronomical investigations. The subject of mathematics known as exact techniques deals with certain trigonometric functions and their potential applications in computations. There are six commonly used trigonometric functions in trigonometry. Sine, cosine, tangent, cotangent, secant, and cosecant are their separate names and acronyms (csc). The study of triangle properties, particularly those of right triangles, is known as trigonometry. As a result, geometry is the study of the properties of all geometric shapes.
We now have all of the information we require to solve the triangle. We now have:
a = 55.815 sin(A) (A
b = 55.815 sin(B) (B)
c = 32
A + B + C = 180°
B = 153° - A
To find the values of A and B, we can use a calculator. We get:
A ≈ 83.814°
B ≈ 42.186°
32 / sin(27°) = a / sin(A)
a ≈ 54.482
AB ≈ 54.482
BC ≈ 39.343
AC ≈ 22.414
A ≈ 83.814°
B ≈ 42.186°
C ≈ 27°
As a result, the triangle is resolved.
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PLEASE HELP
Refer to the number line. Find the coordinate of point W such that the ratio of AW to WF is 1:3
The coordinate of point W should be -4 or point C such that the ratio of AW to WF is 1:3
How to solveGiven data
ratio 1:3
the ratio implies every unit WF is equal to 3 x AW.
hence every unit of AW multiplied by 3 gives WF
using equivalent of fractions in the comparison as follows
1 : 3 = 2 : 6 = 3 : 9
comparing 3 : 9 gives
For point A
Point A = - 7
point A + 3 = -7 + 3 = - 4 = point C
For point F
point F = 5
point F - 9 = 5 - 9 = - 4 = point C
\(\frac{AW}{WF} = \frac{|+3|}{|-9|} = \frac{AC}{FC}\)
Hence the coordinate of point W should be -4 or point C such that the ratio of AW to WF is equal to 1:3
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contracts for two construction jobs are randomly assigned to one or more of three firms, a, b, and c. the joint distribution of y1, the number of contracts awarded to firm a, and y2, the number of contracts awarded to firm b, is given by the entries in the following table. y1 y2 0 1 2 0 1 9 2 9 1 9 1 2 9 2 9 0 2 1 9 0 0 find cov(y1, y2). (round your answer to three decimal places.) cov(y1, y2)
The value of covariance cov(y1, y2) is -0.222
y1
y2 0 1 2 Total
0 1/9 2/9 1/9 4/9
1 2/9 2/9 0 4/9
2 1/9 0 0 1/9
Total 4/9 4/9 1/9 1
marginal distribution of y2:
y2 P(y2) y2P(y2) y2^2P(y2)
0 4/9 0.0000 0.0000
1 4/9 0.4444 0.4444
2 1/9 0.2222 0.4444
total 1 0.66667 0.88889
E(y2) = 0.6667
E(y2^2) = 0.8889
Var(y2) = E(y2^2)-(E(y2))^2=0.4444
marginal distribution of y1
y1 P(y1) y1P(y1) y1^2P(y1)
0 4/9 0.0000 0.0000
1 4/9 0.4444 0.4444
2 1/9 0.2222 0.4444
total 1.00 0.6667 0.8889
E(y1) = 0.6667
E(y1^2) = 0.8889
Var(y1)= σy = E(y1^2)-(E(y1))^2 = 0.4444
E(XY) =∑xyP(x,y)=0.2222
Cov(y1,y2) = -0.222
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there can be more than 1 please help i need this
Answer:
ye 2 answers
250+25t and 25(10+t)
Step-by-step explanation:
10 students
each pays 25 dollars
t is unknown
piece it together
Solve the following problems using the Polygon Interior Angle Sum Theorem and Polygon Exterior Angle Sum Theorem.
Sum of the measures of the interior angles of the regular nonagon
Measure of each interior angle of the regular nonagon
Measure of each exterior angle of the regular nonagon
a) The sum of the measures of the interior angles of the regular nonagon is given by S₉ = 1260°
b) The measure of each interior angle of the regular nonagon is a = 140°
c) The measure of each exterior angle of the regular nonagon is b = 40°
Given data ,
Sum of the measures of the interior angles of a regular nonagon:
The Polygon Interior Angle Sum Theorem states that the sum of the measures of the interior angles of a polygon with n sides is given by the formula:
Sum of interior angles = (n - 2) * 180°
For a nonagon, which has 9 sides, we can plug in n = 9 into the formula:
Sum of interior angles = (9 - 2) * 180
Sum of interior angles = 7 * 180
Sum of interior angles = 1260°
So, the sum of the measures of the interior angles of a regular nonagon is 1260°
Measure of each interior angle of a regular nonagon:
Since a regular nonagon has 9 sides, we can divide the sum of the interior angles (which we calculated as 1260 degrees) by the number of sides to find the measure of each interior angle:
Measure of each interior angle = Sum of interior angles / Number of sides
Measure of each interior angle = 1260 / 9
Measure of each interior angle = 140°
So, the measure of each interior angle of a regular nonagon is 140°
Measure of each exterior angle of a regular nonagon:
The Polygon Exterior Angle Sum Theorem states that the sum of the measures of the exterior angles of a polygon with n sides is always 360°
Since a regular nonagon has 9 sides, we can divide 360 degrees by the number of sides to find the measure of each exterior angle:
Measure of each exterior angle = 360 / Number of sides
Measure of each exterior angle = 360 / 9
Measure of each exterior angle = 40°
Hence , the measure of each exterior angle of a regular nonagon is 40°
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find the surface area
The surface area of the given sphere is 764.15 square inches.
Given that, the sphere has diameter = 15.6 inches.
Here, radius = 15.6/2 = 7.8 inches
We know that, surface area of a sphere is 4πr².
Now, surface area = 4×3.14×7.8²
= 764.15 square inches
Therefore, the surface area of the given sphere is 764.15 square inches.
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Factor each polynomial. Look for a GCF first.
2x²-8k-90
O
2 (x-9) (x - 5)
2 (x + 9) (x + 5)
2 (x − 9) (x + 5)
2 (x + 9) (x - 5)
Answer:
Step-by-step explanation:
First, you could factor 2 out of the whole thing. The result would be 2(x^2-4x-45). Now we find the factors of 45 which are 1, 45, 5, 9, 15, 3. We have to find the pair that adds up to 4, and multiply to get 45. After some guess and check, we can find that 5 and 9 are those numbers. Now we have to get the right signs. Since the result is a negative number for -8k, and -90, the number that is a negative must be less than the other negative. -9<-5, so the answer would be 2(x-9)(x+5)
Please help fast!!!!!!!
Answer: 156.38 m
Step-by-step explanation:
Using the arc length formula, the answer is \(2\pi(8^2) \cdot \frac{140}{360} \approx 156.38\)
PLEASE HELP ME!!!!!!!!! (100 points)
1. Let h(x) be a function with domain [0,3) and range (−2,6].
b. Give the domain and range of 3h(x−2). Explain your answer.
Answer:
Domain [2,5)
Range (-6,18]
Step-by-step explanation:
Domain is shifted 2 units to the right because of the horizontal shift so it is [2,5)
Range is multiplied by 3 because of the vertical stretch so it is (-6,18]
A cake recipe calls for the following dry ingredients: 3 ½ cups of flour, 2 ⅔ cups of sugar, and 1 ¾ cups of cocoa. To the nearest cup, how much dry ingredients will be used?
HELO
The amount of dry ingredients used in the cake recipe is approximately 7 cups.
We have,
3 ½ cups of flour, 2 ⅔ cups of sugar, and 1 ¾ cups of cocoa.
Now, first convert all quantity in same unit.
3 ½ cups of flour
= 3 cups + 0.5 cups
= 3 cups and 8 ounces.
and, 2 ⅔ cups of sugar
= 2 cups + 0.67 cups,
= 2 cups and 10.72 ounces.
and, 1 ¾ cups of cocoa
=1 cup + 0.75 cups
= 1 cup and 12 ounces.
So, the total amount
= 3 cups and 8 ounces + 2 cups and 10.72 ounces + 1 cup and 12 ounces = 6 cups and 14.72 ounces
= 7 cups
Therefore, the amount of dry ingredients used in the cake recipe is approximately 7 cups.
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Find the Value of X.
The measure of the unknown sides is equivalent to 12.6
Circle geometry problemThe given figure is a circle geometry with the perpendicular lines intersecting both segments of the circle.
We need to determine the measure of x. Since the measure of the perpendicular lines are equal, hence the measure of the line of the segments will also be equal.
Hence:
x = 6.3 + 6.3
x = 12.6
Therefore the measure of x from the given diagram is equivalent to 12.6
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Two consecutive multiples of 9 sum up to 63. Fine the numbers
Answer:
27, 36
Step-by-step explanation:
We can write the first number as 9n because it is a multiple of 9, and the second number will be 9(n + 1). We can write:
9n + 9(n + 1) = 63 because they have a sum of 63.
9n + 9n + 9 = 63
18n + 9 = 63
18n = 54
n = 3
This means that the first number is 9 * 3 = 27 and the second is 9 * (3 + 1) = 9 * 4 = 36.