Please answer this problem
Answer: 2 is equal to or less than 5
Step-by-step explanation:
When the dot is colored in that means it’s equal to or _, while when it’s hollowed out it’s equal to a simple greater or less than symbol.
Select the equivalent forms. 50% = 10% = 75% =
The correct answers are:
1) 1/2
2) 1/10
3) 3/4
Step-by-step explanation:
[tex]\boxed{50=0.5\\}\\\boxed{10=0.1\\\\\\} \boxed{75=0.75}[/tex]
50% means 0.5. This 0.5 was (multiplied before by 100) to get this percentage.
What does the numbers mean? 0.5 means 1/2 of the total value0.1 means 1/10 of the total value0.75 means 3/4 of the total value.Therefore, the answer is true
What is the surface area of the figure In square centimeters of 4cm 3cm 6cm 5cm
The surface area of the prism is 84 square centimeters.
What is a prism?
A prism is a polyhedron in geometry that has n parallelogram faces that connect the n-sided polygon basis, the second base, which is a translated duplicate of the first base, and the n faces. The bases are translated into all cross-sections that are parallel to them.
In the figure,
The surface area of the figure consists of 2 triangles, 3 rectangles.
The area of the triangle and rectangle is the surface area of the triangle.
The area of the triangle is (1/2) × base × height
The base of the triangle ABC is BC and the height is AB.
The area of triangle ABC is (1/2) × 4 × 3 = 6 square centimeters.
The area of triangle DEF is (1/2) × 4 × 3 = 6 square centimeters.
The area of the rectangle ACDE is 5 × 6 = 30 square centimeters.
The area of the rectangle ABEF is 4 × 6 = 24 square centimeters.
The area of the rectangle BCDF is 3 × 6 = 18 square centimeters.
The total surface area of the figure is ( 6 + 6 + 30 + 24 + 18) square centimeters = 84 square centimeters
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Would like some help identifying these triangles :)
Answer:
A=Right, B=Acute, C=Obtuse, D=Obtuse
Step-by-step explanation:
A.right
B.acute
C.obtuse
D.obtuse
in a class of 30 students, approximately what is the probability that two of the students have their birthday on the same day
The probability that two students out of 30 students have their birthday on the Same day is 0.706, that is nearly 71%
What is conditional probability?The possibility of an event or outcome happening contingent on the occurrence of a prior event or outcome is known as conditional probability.
How do you calculate conditional probability?the likelihood of the preceding event is multiplied by the probability of the subsequent,or conditional, occurrence to determine the conditional probability.
In a year we have 365 days
probability at least 2 people share the same birthday=1 - probability no people share the same birthday
the first student can be born on any day,so we'll give him a probability of 365/365
the probability of the next born is 364/365
the probability of the third born is 336/365
[tex] \frac{365 \: factorial}{335 \: factorial \: . {365}^{30} } [/tex]
this is the simplified form of the 30 probabilities product.= 0.294
therefore
probability at least 2 people share the same birthday=1 - probability no people share the same birthday
1 - 0.294= 0.706
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A square has sides of 18 units. Squares x + 1by x + 1units are cut out of each corner, and then the sides are folded up to create an open box. Express the volume V of the box as a function in terms of x. V(x) =
The box's volume V expressed as a function of x V(x) =(x+1)(16 -2x) ².
A square form is what?A square has four equal sides, four vertices, and is a closed, two-dimensional object. It has parallel sides on either side. A square is also equivalent to a rectangle having equal length and width.
What are the four different kinds of squares?An equal-length rectangle with two neighboring sides. a quadrilateral having four straight angles and equal sides. a parallelogram with two sides that are equally spaced apart and one right angle. the shape of a right-angled rhombus.
Briefing:A distance of (x+1) is cut in from both sides, so the base dimensions are
18 - 2(x+1) = 16 - 2x
The depth of the fold is (x+1), so that is the depth of the box.
The volume V(x) = (x+1)(16 -2x)²
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Find the equation of a line that passes through (-7,2) and is parallel to the line 7x+2y=0
Answer:
7x + 2y = - 45-----------------------
GivenLine 7x + 2y = 0,Point (-7, 2) on a parallel line.Find the equation of the parallel line.We know parallel lines have equal slopes.
Find the slope of the given line:
7x + 2y = 02y = - 7xy = - 3.5xThe slope is - 3.5.
Use point-slope equation to find the equation of the parallel line.
y - 2 = - 3.5(x - (-7))y - 2 = - 3.5x - 24.5y = - 3.5x - 22.5Convert it to standard form:
y = - 3.5x - 22.52y = - 7x - 45 7x + 2y = - 45This table of values represents an exponential function. x 3 4 5 6 7
f(x) 34.99 62.99 113.37 204.07 367.33 What is the equation of the exponential function represented in this table? Enter your answer by filling in the boxes.
f(x) = _____( )^x
The equation of the exponential function represented in this table is;
y = 6(1.8)ˣ
What is the formula for the exponential function?We are given the table of values of the exponential function and we can write the coordinates as;
(3, 34.99)
(4, 62.99)
(5, 113.37)
(6, 204.07)
(7, 367.33)
The general formula for an exponential function is;
y = a(b)ˣ
where;
a is the initial value
b is the constant multiplier
For the third coordinate, we have;
a(b)³ = 34.99 ------(1)
For the fourth coordinate, we have;
a(b)⁴ = 62.99 ------(2)
Divide eq 1 by eq 2 to get;
b = 1.8
Put 1.8 for b in eq 1 to get;
a(1.8)³ = 34.99
a = 6
This gives the exponential equation as; y = 6(1.8)ˣ
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Evaluate } 3² · 3⁻⁵ / 4⁻²
16/27
27/16
16/59,049
59,049/16
Answer: 27/16
Step-by-step explanation: evaluate
I need help with this question
Answer:
slope is 7/4
y intercept (0,2)
Step-by-step explanation:
m= 7/4 y=mx + b to find slope.
What is the equation of the horizontal line that passes through (8,-3) what is the slope of the line?
Answer: 0
Step-by-step explanation:
A horizontal line always has a slope of 0
A smaller number is 3 less than half a larger number. The larger number is 10 times 1 less than the smaller number. Let x represent the smaller number, and let y represent the larger number. Which equations can be used to model the situation? Check all that apply. x = one-half y minus 3 2 x minus y = negative 6 2 x minus y = negative 3 x = one-half (y minus 3) y = 10 (x minus 1) Mark this and return
The required equations can be used to model the situation is x = 1/2y - 3 and y = 10(x-1)
What is equation ?
An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated by the symbol "equal."
Equations can be classified as either conditional equations or identities. Any value of the variables results in an identity being true. Only certain values of the variables in a conditional equation result in truth. When two expressions are joined together by the equals sign ("="), the result is an equation.
If the smaller number is 3 less than half a larger number, this is expressed as:
x = 1/2y - 3 ⇒(1)
If the larger number is 10 times 1 less than the smaller number, this is expressed as;
y = 10(x-1) ⇒ (2)
Substitute equation 2 into 1 as shown;
x = 1/2y - 3
x = 1/2(10x-10)- 3
x = 5x - 5 - 3
-4x = -8
x = 2
The required equations can be used to model the situation is x = 1/2y - 3 and y = 10(x-1)
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Answer:
a d
Step-by-step explanation:
retangular form of r=8 sin theta
Answer:
Step-by-step explanation:
r2=x2+y2,tanθ=yx,x=rcosθ,y=rsinθ
Please help and show how you got the answer.
Answer:
1.8 cans of paint are needed
Step-by-step explanation:
A large statue has a volume of 135 m³ and an area of 81 m², while a small statue has a volume of 5 m³. You want to know the number of cans of paint required to paint the small statue, if each can covers 5 m².
Scale factorThe ratio of linear dimensions on the small statue to those on the large statue is the cube root of their volume ratio:
sf = ∛(5/135) = ∛(1/27) = 1/3
AreaThe area of the small statue is the larger statue's area multiplied by the square of the scale factor:
smaller area = larger area × (sf)²
smaller area = (81 m²)(1/3)² = 9 m²
PaintEach can of paint covers 5 m², so the number of cans required is ...
(9 m²)/(5 m²/can) = 1.8 cans
You will need 1.8 cans of paint to paint the small statue.
__
Additional comment
If you must pay for whole cans of paint, you must buy 2 cans of paint.
Directions - Match the equations for parallel lines. (Note: you will not use all choices on the right side).
The equations for parallel lines:
y = -1/2 x - 2 ----- y = -1/2 x + 6
y = 1/2 x + 4 ----- y = 1/2 x - 4
y = 2x -4 ----- y =2/1x + 2
y = 5x + 2 ----- y = 5x - 1
y = 1/5 x + 10 ---- y = 1/5 x + 3
What is slope of line?
A line's steepness can be determined by looking at its slope. Slope is calculated mathematically as "rise over run" (change in y divided by change in x).
If an equation in the form y = mx + c then m is the slope of the line.
Equation of line slope Slope parallel line
y = -1/2 x - 2 -1/2 -1/2
y = 1/2 x + 4 1/2 1/2
y = 2x -4 2 2
y = 5x + 2 5 5
y = 1/5 x + 10 1/5 1/5
Now identify the lines from the option whose slope are -1/2, 1/2, 2, 5, 1/5.
The slope of the line y = -1/2 x + 6 is -1/2.
The slope of the line y = 1/2 x - 4 is 1/2.
The slope of the line y = 2x -4 is 2.
The slope of the line y = 5x + 2 is 5.
The slope of the line y = 1/5 x + 10 is 1/5.
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Nachelle has x dimes and y nickels. She has at least 11 coins worth a maximum of $0.80 combined. Solve this system of inequalities graphically and determine one possible solution.
PLEASE SHOW ON A GRAPH AND USE AND START THE INEQUALITY WITH Y.
NO LINKS.
The solution of the given inequalities will be the common region between the two (refer to the graph).
What is an inequality ?
In mathematics, "inequality" refers to a relationship between two expressions or values that is not equal to each other. Therefore, inequality emerges from a lack of balance.
Nachelle has x dimes and y nickels.
We know that, A nickel is worth 5 cent, A dime is worth 10 cent and have maximum of $0.8 combined.
So, 5% x + 10% y ≤ 0.8
5x + 10y ≤ 80
She has at least 11 coins.
So, x + y ≥ 11
Hence, We have two inequalities as:
5x + 10y ≤ 80 and x + y ≥ 11
Similarly, x≥ 0 and y≥ 0.
Now, We'll find the points that lie on the given lines and draw the lines ( refer the given figure )
After drawing the graph, we'll check the inequalities where the portion is true.
If take point (0,0),
5x + 10y ≤ 80
5(0) + 10(0) ≤ 80
0 ≤ 80 which is true, hence we will shade the region which is down because the point (0,0 ) lies in downward region.
Similarly,
x + y ≥ 11
0 + 0 ≥ 11
0 ≥ 11 which is false hence, we will shade the region which is up because the point (0,0 ) lies in downward region.
In result, We get the common region which is the solution.
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8. Write an equation in standard form to represent the line shown on the graph below.
Answer:
2x - y - 2 = 0
Step-by-step explanation:
A (1,0)
B (0,-2)
(y-0)/(-2-0) = (x-1)(0-1)
y/-2 = (x-1)/-1
-y/2 = -x + 1
-y = 2(-x+1)
-y = -2x + 2
2x - y - 2 = 0
9. A graphic artist created a design for a flower using four congruent hexagons as shown. Given: B P⊥M K, m ∠ M Y F=m ∠ F H B, m° W M C=m ∠ W P T, m ∠G X R=66°, m ∠ D N K=(3 x+18)°, and m ∠ W B R=(5 x-8)°. The sum of the angles in WKNDSP is 720°.
Find each. Show your work
a. m ∠ T L C=
b. m ∠K G X=
(a) The corresponding angles are congruent.
So, m ∠ TLC = 66°
(b) m ∠KGX = m ∠DNK = 120°
"Information available from the question"
In the question:
A graphic artist created a design for a flower using four congruent hexagons as shown:
B P⊥M K, m ∠ M Y F=m ∠ F H B, m° W M C=m ∠ W P T, m ∠G X R=66°, m ∠ D N K=(3 x+18)°, and m ∠ W B R=(5 x-8)°.
The sum of the angles in WKNDSP is 720°.
Now, According to the question:
Part(a) Since the four hexagons are congruent
So, the corresponding angles are congruent.
Thus, m ∠ T L C= m ∠ 6 x R
Since, m ∠ 6 x R = 66°
So, m ∠ TLC = 66°
Part(b) In WKNDSP
m ∠KWP + m ∠ WPS + m ∠ PSD + m ∠ SDN + m ∠ DNK + m ∠ NKW = 720°
Since, 1) B P⊥M K => m ∠KWP = 90°
2) m ∠WPS =m ∠NKW =m ∠WBR = (5x - 8)°
3) m ∠PSD = m ∠DNK = (3x + 18)°
4) m ∠SDN = m ∠GXR = 66°
So, 90 + (5x + 8) + (3x + 18) + 66 + (3x + 18) + (5x - 8) = 720°
90 + 5x + 8 + 3x + 18 + 66 + 3x + 18 + 5x - 8 = 720
176 + 16x = 720
16x = 720 - 176
16x = 544
x = 34
=> m ∠DNK = (3x + 18)° = (3 × 34 + 18)° = 120°
So, m ∠KGX = m ∠DNK = 120°
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Tom’s most recent book earned 10*4 times as much money as his first book. How much did Tom’s most recent book earn? Write the amount in standard form. Explain how you know your answer is correct.(hint his first book earned 10*3)
The amount that Tom’s most recent book earn is 10^7.
How to illustrate the exponent?The exponent is the number of times that a number is multiplied by itself. It should be noted that the power is an expression which shows the multiplication for the same number. For example, in 6⁴ , 4 is the exponent and 6⁴ is called 6 raise to the power of 4.
Since Tom’s most recent book earned 10*4 times as much money as his first book which was 10³.
The total amount of the recent book will be:
= 10⁴ × 10³
= 10^(4 + 3)
= 10^7
The amount is 10^7.
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Please help!! I tried setting it up to 180 but I don’t feel right about it! Thanks! :)
which triangle is the value of x equal to tan−1(StartFraction 3.1 Over 5.2 EndFraction)?
A right triangle is shown. The length of the hypotenuse is 5.2 and the length of the side adjacent to the right angle is 3.1. The angle between the 2 sides is x.
A right triangle is shown. The length of the hypotenuse is 5.2 and the length of the side adjacent to the right angle is 3.1. The angle opposite to side with length 3.1 is x.
A right triangle is shown. The length of 2 sides are 5.2 and 3.1. The angle opposite to side with length 5.2 is x.
A right triangle is shown. The length of 2 sides are 5.2 and 3.1. The angle opposite to side with length 3.1 is x.
Answer:
The value of x is equal to tan^-1(0.5961538461538461). This is the angle opposite to the side with length 3.1 in the given right triangle.
Step-by-step explanation:
To find the value of x, you can use the inverse tangent function, which is denoted as tan^-1. To use the inverse tangent function, you need to know the length of the adjacent side and the length of the opposite side of the right triangle. In this case, the length of the adjacent side is 3.1 and the length of the opposite side is 5.2. So, the value of x is equal to tan^-1(3.1/5.2) or tan^-1(0.5961538461538461).
Answer: d
Step-by-step explanation:
edge 2023
For the function N(t)=4|t+5|+3, evaluate N(2).
Answer:
see explanation
Step-by-step explanation:
N(t)=4|t+5|+3, evaluate N(2).
Evaluate: Plug in a number for each variable.
4(|t+5|)+3
t=2
Evaluate for t=2
4(|2+5|)+3
4(|2+5|)+3
=31
(Hope this answer does you some good )
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Alyssa is 1.65 meters tall. At 11 a.m., she measures the length of a tree's shadow to be
27.75 meters. She stands 23.5 meters away from the tree, so that the tip of her
shadow meets the tip of the tree's shadow. Find the height of the tree to the nearest
hundredth of a meter.
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27.75 m
(Diagram is not to scale.)
1.65 m
23-5 m
Crest
Dashboard | Kham
Trigonometry is the application of certain functions to determine the value of a quantity. The tree stands 10.77 meters tall.
What is trigonometric function?Some trigonometric functions can be used to solve the given problem. Let s represent the distance from the tip of the tree's shadow to where Aria stands, so that;
s = 27.75 - 23.5
= 4.25 m
s = 4.25 m
Also, let the angle formed by the line connecting the tree's tip and the shadow's tip be, so that;
Tan θ = opposite / adjacent
Here given,
Opposite side = 1.65
Adjacent side = 4.25
= 1.65 / 4.25
= 0.3882
θ = Tan⁻¹ 0.3882
= 21.216
θ = 21.216°
We get θ = 21.216°
The tree's height, h, can be calculated as follows:
Tan 21.216° = h/27.75
h = Tan 21.216° x 27.75
= 0.3882 x 27.75
h = 10.77m
As a result, the tree's height is 10.77m.
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Emika has a monthly budget for her cell phone bill.
Last month she spent `120\%` of her budget, and the bill was `\$60`.
What is Emika’s monthly budget?
Using percentages, we know that Emika's monthly budget is $50.
What is the percentage?A percentage is a figure or ratio stated as a fraction of 100 in mathematics. Although the abbreviations "pct.", "pct.", and occasionally "pc" is also used, the percent symbol, "%," is frequently used to indicate it.
A % is a number without dimensions and without a standard measurement.
For instance, you would have received a 75% grade if you answered 75 out of 100 questions correctly on a test (75/100).
So, if we multiply a fraction of a number by 100, you get a percentage. % is the symbol used to denote percentages.
Let x stand in for Emika's monthly cell phone budget.
Divide $60 by 120% to find his monthly spending limit.
x = $60 / 120%
x = $60 / 1.20
x = $50
Therefore, using percentages, we know that Emika's monthly budget is of $50.
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For the function f(x) =8(x+10), find f
Answer:
Step-by-step explanation:
The function for f(x)=8(x+10) is;
B. f^-1(x)=x-10/8
The sum of the measures of angle P and angle S is 140°.
The measure in degrees of angle P is represented by the expression ( 5x+30)°·
The measure of angle S is 80°.
What is the value of x?
Find the vertex.
f(x) = 4(x - 2)² +11
([?],[_])
(2, 11) is the vertex of f(x) = 4(x - 2)² +11.
What is quadratic equation?A quadratic equation is a second-order polynomial equation in a single variable x , ax2+bx+c=0. with a ≠ 0 .
The given equation is f(x) = 4(x - 2)² +11.
The vertex form is y=a(x-h)²+k
y=a(x-h)²+k of a parabola is said to be in vertex form because the vertex can be determined by examining the equation: (h, k) is the vertex.
(h, k) are the vertices of the given equation.
a=4,
h=2 and
k=11
so the (2,11) is the vertex of the function.
Hence, the vertex of f(x) = 4(x - 2)² +11 is (2, 11).
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Find the arc length and sector area for the following:
(Use \large \pi=3.14...do not use the \large \pi button on your calculator!)
arc length =
sector area =
the value of arc length = 3.14 and the area of the sector = 4.71cm²
What is area of sector and length of an arc?The formula for the area of the sector of a circle is /360° (r2) where r is the radius of the circle and is the angle of the sector.
Arc length is the distance between two points along a section of a curve. It is given as
/360°×2r
= 180°, therefore /3 = 180/3= 60°
arc length = 60°/360 × 2×3.14×3
arc length = 3.14cm
The area of the sector = /360°×r²
60/360×3.14×3²
sector area = 3.14×3÷2
sector area = 4.71cm²
therefore the length of the arc and the area bounded by the arc and radius(sector) is 3.14cm and 4.17cm².
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Answer:the value of arc length = 3.14 and the area of the sector = 4.71cm²
Step-by-step explanation:
the value of arc length = 3.14 and the area of the sector = 4.71cm²
a Ferris wheel can accommodate 35 people in 20 minutes. how many people could ride the Ferris wheel in 6 hours
Answer:
630 people could ride the Ferris wheel in 6 hours.
Step-by-step explanation:
First, let's find the people-per-hour amount:
Since there are 3 "20 minutes" in an hour, we multiply the amount it can accommodate by 3 as well:
35 * 3 = 105
Next, since we have 6 hours, we multiply our people-per-hour by 6:
105 * 6 = 630 people in 6 hours, final answer.
ethe relationship between the data in the table is linear write a equation
in slope-itercept form that represent the data in the table
Answer:
give the data in the graph form and your answer is right..