45 and 53 are the correct answers on edge.
Answer:
45 and 53, i got it right on edge
80 1/4 is 5% of what number
Answer: 80 1/4 is 5% of 1605
Step-by-step explanation:
5 percent of some number = 80.25
let x = some number
[tex]\frac{5}{100} *x = 80.25[/tex]
[tex]=\frac{100}{5} *\frac{5}{100} *x=80.25*\frac{100}{5}[/tex]
[tex]=x=80.25*20[/tex]
[tex]=x=1605[/tex]
Please help! Solve this
The solution to [tex]\left(2+\sqrt{2}\right)^{\log_2\left(x\right)}+x\left(2+\sqrt{2}\right)^{\log_2\left(x\right)} = 1 + x^2[/tex] is x = 1
How to solve the equation?The equation is given as:
[tex]\left(2+\sqrt{2}\right)^{\log_2\left(x\right)}+x\left(2+\sqrt{2}\right)^{\log_2\left(x\right)} = 1 + x^2[/tex]
Split the equation as follows:
[tex]y\ =\ \left(2+\sqrt{2}\right)^{\log_2\left(x\right)}+x\left(2+\sqrt{2}\right)^{\log_2\left(x\right)}[/tex]
[tex]y = 1 + x^2[/tex]
Next, we plot the graph of both equations (see attachment)
From the attached graph, the intersection point is (1, 2)
Remove the y value
x = 1
Hence, the solution to [tex]\left(2+\sqrt{2}\right)^{\log_2\left(x\right)}+x\left(2+\sqrt{2}\right)^{\log_2\left(x\right)} = 1 + x^2[/tex] is x = 1
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mimi read 1/4 of a book on wednesday. she read 82 more pages on thursday, and she finished the book on friday by reading the last 98 pages. how many pages were in mimi's book.
Answer:
240 pages
Step-by-step explanation:
Let x = the TOTAL number of pages in the book. So we'll add up all her reading for the week and it should equal x, the total number of pages.
see image.
The event of walking your dog is A and the event of electing a female as class president is B. If these events are independent events, using P(A)=0.35, and P(B)=0.54, what is P(B|A)?
The value of the probability is 0.54
How to determine the probability?The given parameters are:
P(A) = 0.35
P(B) = 0.54
From the question, we understand that the events are independent.
This means that
P(B|A) = P(B)
Substitute P(B) = 0.54
P(B|A) = 0.54
Hence, the value of the probability is 0.54
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Which parent function is f(x) = x²?
A. The quadratic parent function
B. The linear parent function
C. An exponential parent function
D. The absolute value parent function
Answer:
A
Step-by-step explanation:
It is the quadratic parent function
ppose you have one quart of water/juice mix that is 40% juice, and you add 3
quarts of water. What percent juice is the final m
The final percent of juice is 10%
How to get the final percent?
We initially have one quart that is 40% juice and 60% water.
Then initially we have:
0.4 of quarts of juice.0.6 quarts of water.Then we add another 3 quarts of water, so the new mixture has:
0.4 quarts of juice.3.6 quarts of water.So we have 4 quarts of mixture.
The new percentage of juice will be:
P = (0.4 quarts/4 quarts)*100% = 10%
The final percent of juice is 10%
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please help me with the question
Answer: [tex]\cos^{-1} \left(\frac{-22}{\sqrt{754}} \right)[/tex]
Step-by-step explanation:
[tex]a \cdot b=(3)(0)+(-4)(5)+(-1)(2)=-22\\\\|a| |b|=\sqrt{3^2 +4^2 +1^2} \sqrt{5^2 +2^2}=\sqrt{754}\\\\\therefore \cos \theta=\frac{-22}[\sqrt{754}}\\\\\theta=\cos^{-1} \left(\frac{-22}{\sqrt{754}} \right)[/tex]
Verify which of the following are identities.
Answer:
C
Step-by-step explanation:
Equation 1:
[tex]1+\frac{\cos^{2} \theta}{\cot^{2} \theta(1-\sin^{2} \theta)}\\ \\ 1+\frac{\sin^{2} \theta}{\cos^{2} \theta} \\ \\ 1+\tan^{2} \theta \\ \\ \sec^{2} \theta[/tex]
Equation 2:
[tex]15\cos \theta \left(\frac{1}{\cos \theta}-\frac{\cot \theta}{\csc \theta} \right) \\ \\ 15\cos \theta \left(\frac{1}{\cos \theta}-\frac{\cos \theta / \sin \theta}{1/\sin \theta} \right) \\ \\ 15\cos \theta \left(\frac{1}{\cos \theta}-\cos \theta \right) \\ \\ 15\cos \theta \left(\frac{1-\cos^{2} \theta}{\cos \theta} \right) \\ \\ 15(1-\cos^{2} \theta) \\ \\ 15\sin^{2} \theta[/tex]
Simplify the ratio 0.40 to 0.60
The ratio 0.40 to 0/60 is equivalent to a simplified ratio..?
(Simplify your answer. Type a whole number or fraction)
The simplified firm of the ratio 0.40 to 0.60 is 2 : 3
Ratio0.40 : 0.60
= 0.40 / 0.60
divide both numerator and denominator by 0.20
= 2 / 3
= 2 : 3
Therefore, the simplified form of the ratio 0.40 to 0.60 is 2 : 3
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! PLEASE HELP ! Mr. Herman had $120 and Mr. Chandra had $80. After each of them had paid for a concert ticket,
Mr. Herman had 3 times as much money as Mr. Chandra. (a) How much was the ticket? (b) How
much money did Mr. Chandra have left?
Answer:
Step-by-step explanation:
let x be the price of ticket,then
120-x=3(80-x)
120-x=240-3x
3x-x=240-120
2x=120
x=120/2=60
Price of ticket=$60
Mr.Chandra has 80-60=20 $ after buying the ticket.
Write the following powers of 6 exponential form: 6 x 6
The exponential form of 6 × 6, is written as: 6².
How to Write an Expression in Exponential Form?Repeated multiplication involving base exponents and base can be written in exponential form, such as: a × a × a = a³.
Given the expression, 6 × 6, the number 6 will be the base while 2 will be the exponent if we want to express it in exponential form. Therefore:
6 × 6 = 6².
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find the product. simplify your answer
cancel by 3
8/21Answer:
[tex]\sf \dfrac{8}{21}[/tex]
Step-by-step explanation:
Given expression:
[tex]\sf \dfrac{6x}{-7} \cdot \dfrac{4}{-9x}[/tex]
When multiplying fractions, simply multiply the numerators and multiply the denominators:
[tex]\implies \sf \dfrac{6x}{-7} \cdot \dfrac{4}{-9x} = \dfrac{6x \cdot 4}{-7 \cdot -9x} =\dfrac{24x}{63x}[/tex]
Cancel the common factor x:
[tex]\implies \sf \dfrac{24 \diagup\!\!\!\!x}{63 \diagup\!\!\!\!x}=\dfrac{24}{63}[/tex]
Rewrite 24 as 3 · 8 and rewrite 63 as 3 · 21:
[tex]\implies \sf \dfrac{24}{63}=\dfrac{3 \cdot 8}{3 \cdot 21}[/tex]
Cancel the common factor 3:
[tex]\implies \sf \dfrac{\diagup\!\!\!\!\!3 \cdot 8}{\diagup\!\!\!\!\!3 \cdot 21}=\dfrac{8}{21}[/tex]
Problem Set 3.1: Characteristics of the Mean Criterion: Explain a distribution. Instructions: Read the following and answer the questions. Data: To study perception, a researcher selects a sample of participants (n = 12) and asks them to hold pairs of objects differing in weight, but not in size, one in each hand. The researcher asks participants to report when they notice a difference in the weight of the two objects. Below is a list of the difference in weight (in pounds) when participants first noticed a difference. Answer the following questions based on the data given in the table. Difference in Weight 4 8 9 5 12 7 6 15 10 4 8 8 1. State the following values for this set of data: a) Mean ___8____ b) Median ___8____ c) Mode(s) ___8____ 2. What is the shape of this distribution? Hint: Use the values of the mean, median, and mode to infer the shape of this distribution. _____________
1a.The mean is 8.
b. The median is 8.
c. The mode is 8.
2. The shape of the data is: perfectly symmetrical distribution.
How to Find the Mean of a Data Set?To find the mean of the data set given for the difference in weight, 4, 8, 9, 5, 12, 7, 6, 15, 10, 4, 8, 8, 1, add all the values and divide by the number of values given, which is, n = 12.
Mean = (4 + 8 + 9 + 5 + 12 + 7 + 6 + 15 + 10 + 4 + 8 + 8)/12
Mean = (96)/12
Mean = 8
How to Find the Median?The median is the center of the data when it is ordered.
Ordered data: 4, 4, 5, 6, 7, 8, 8, 8, 9, 10, 12, 15
The center (median) is the average of the two center values = (8 + 8)/2 = 16/2
Median = 8
How to Find the Mode?The mode of the data is 8, because 8 appeared most in the data set.
The mean is 8.
The median is 8.
The mode is 8.
Thus, when the mean, median, and mode of a data set are the same, then it means the data is non-skewed or perfectly symmetrical.
Therefore the shape of the data is: perfectly symmetrical distribution.
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Instructions: Find the slope between the two points given. Then, use the slope and point ONE to write the
equation of the line in Point-Slope form. State the slope
Step-by-step explanation:
Find the slope between the two points given. Then, use the slope and point ONE to write the
equation of the
His wife makes a final test of Odysseus' identity by getting him to tell
about the building of his bed
the name or his favorite dog
about the day he went away
how he got a scar on his arm
Answer: About the building of his bed
Which net can be folded to form a pyramid? A net has a square at the center. Squares are on 2 sides and triangles are on 2 sides. A net has a square at the center. 2 triangles are on 1 side, and 2 triangles are on another side. A net has a square at the center. 3 triangles are on 1 side. A net has a square at the center. A triangle and square are on 1 side and a square and triangle are on another side.
The net that can be folded to form a pyramid is A net has a square at the center. 2 triangles are on 1 side, and 2 triangles are on another side.
What is a net?A net is a two-dimensional representation of a three dimensional solid object showing its faces.
Examples of material which can have nets are
cubes, cuboids prisms etcWhat is a pyramid?Now, for a pyramid, we know that a pyramid is a three dimensional solid object that has one square base and four triangular sides.
So, when a pyramid is split into its net, it will have one square at the center and four triangles on the sides of the squares.
So, the net that can be folded to form a pyramid is A net has a square at the center. 2 triangles are on 1 side, and 2 triangles are on another side.
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Answer:
B
Step-by-step explanation:
You need to use the net that only have 1 square because a pyramid only has 1 square, it also has all the triangle sides needed which is 4. You can use a model to make a pyramid out of this net
Can someone explain how to do this
The negative solution is -2.21 and positive solution is 12.21
Factorizing quadratic equationsGiven the quadratic equation expressed as:
x^2-10x-27 = 0
Find the solution using the general formula
x^2-10x-27 = 0
x = 10±√(10)²-4(1)(-27)/2
x = 10±√100+108/2
x = 10±√208/2
x = 10±14.422/2
Simplify
x = 10+14.422/2 and x = 10-14.422/2
x = 24.422/2 and -4.422/2
x = 12.21 and -2.21
Hence the negative solution is -2.21 and positive solution is 12.21
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You have $2000 to invest in an account and need to have $2500 in five years. What annual interest rate would you need to have in order to have this if the amount is compounded monthly?
a 3.77%
b4.47%
c2%
d5.5%
please answer
The annual interest rate needed to reach the given amount in five years is 4.47%.
Hence, option B) is the correct answer.
What is the annual interest rate needed?Compound interest is expressed as;
A = P( 1 + r/n )^(nt)
Making rate r the subject of the formula;
r = n[ (A/P)^(1/nt) - 1 ]
Given that;
Principal P $2000Final Amount A = $2500Number of times interest applied per time period n = monthly = 12Time t = 5We substitute into our formular above
r = n[ (A/P)^(1/nt) - 1 ]
r = 12[ (2500/2000)^(1/(12×5)) - 1 ]
r = 12[ (1.25^(1/60) ) - 1 ]
r = 12[ 1.0037598 - 1 ]
r = 12[ 0.0037598 ]
r = 0.447
Next we convert to percentage
r = 0.447 × 100%
r = 4.47%
The annual interest rate needed to reach the given amount in five years is 4.47%.
Hence, option B) is the correct answer.
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Please answer this question for me
Answer: B
Step-by-step explanation:
The vertical asymptotes are at x=-4 and x=1, so the denominator needs to have factors of (x+4) and (x-1).
This eliminates everything except for B.
for csc 330:
a) state value of the ratio exactly
b) find one equivalent expression
c) draw a diagram to illustarte.
The value of the ratio based on the angle illustrated is 1:12.
How to illustrate the information?From the information given, it should be noted that the angle in a circle is 360°. Therefore, the value of theta will be:
= 360° - 330°
= 30°
The equivalent expression based on the angle will be:
= 30/360
= 1/12
= 1:12
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PLEASE IF ANYONE CAN HELP JUST ANSWERS 1-8 (giving brainliset)
The computation of the equations is illustrated below.
How to illustrate the equation?a. x - y = 1 .... i
x + y = -9 ..... ii
Subtract the equations
-2y = 10
y = 10/-2 = -5
Since x - y = 1
x - (-5) = 1
x + 5 = 1
x = 1 - 5 = -4
b. 3x + 2y = -9
x - y = -13
Multiply equation i by 1
Multiply equation ii by 3
3x + 2y = -9
- 3x - 3y = -39
5y = 30
y = 6
Since x - y = 13
x - 6 = 13
x = 13 + 6 = 19
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What is the volume of a solid with dimensions 5 inches, 3 inches, and 4 inches? 15 cubic inches 30 cubic inches 45 cubic inches 60 cubic inches
Answer:
60 cubic inches
Step-by-step explanation:
You multiply 3 and 4 to get 12, then 12 and 5 to get 60
3 x 4 x 5 = 60
The volume of a solid exists the measurement of how much area an object brings up. It exists measured by the number of unit cubes it brings to fill up the solid.
Volume of a solid = 5 [tex]*[/tex] 3 [tex]*[/tex] 4 = 60 cubic inches
Therefore, the correct answer is option d) 60 cubic inches.
What is the volume in dimension?Volume exists as a three-dimensional measurement; that exists, it measures the collective length, width, and height of a figure. Because planes, polygons, and other two-dimensional figures don't contain height, they contain no volume. Only solids and figures with dimensions more significant than or equivalent to three have volume.
What is the volume of solid?The volume of a solid exists as the measurement of how much space an object brings up. It exists estimated by the number of unit cubes it brings to fill up the solid.
Volume of a solid = 5 [tex]*[/tex] 3 [tex]*[/tex] 4 = 60 cubic inches
Therefore, the correct answer is option d) 60 cubic inches.
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Follow the instructions below to show two different ways of filling a square that has sided of length a + b with triangles and squared without gaps or overlaps.
The proofing for the triangle is illustrated below.
How to illustrate the information?The proofing for a² + b² = c² in the triangle is illustrated.
It should be noted that the longest side in the triangle is the hypothenuse. The hypothenuse is gotten by finding the square root of the opposite and the adjacent.
Therefore, a² + b² = c²
Let's say a = 3 and b = 4, the value of c will be:
c² = a² + b²
c² = 3² + 4²
c² = 9 + 16
c² = 25
c = ✓25
c = 5
Also, the square and triangle is illustrated and attached.
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A ladder is leaning against a building as shown in the
diagram.
How many feet up the side of the building is the top of
the ladder?
ft
10 feet
6 feet
The length of ladder is 30 ft.
How can the feet that made up the side of the building is the top of the ladder be known ?The formula below can be used in solving the problem
Tan (∅)= [tex]\frac{opposite}{adajacent}[/tex]
∅=70°
opposite = BC
Adjacent = 12 ft
70°= opposite/ 12
opposite= 32.96 ft
Therefore, The length of ladder is 30 ft.
NOTE; Since the actual diagram can not be found i solved another on on the same topic
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CHECK COMPLETE QUESTION BELOW:
Consider the diagram shown where a ladder is leaning against the side of a building. the base of the ladder is 12ft from the building. how long is the ladder? (to the nearest ft)
a. 25ft
b. 30ft
c. 35ft
d. 40ft
Someone please help with this math problem.
if sin just answer the please lol i don't feel like typing
ASAP
Considering that the sine is negative and that the cosine is positive, the angle is on the fourth quadrant, hence option C is correct.
What are the signs of the sine and of the cosine in each quadrant?Quadrant 1: Both positive.Quadrant 2: Sine positive, cosine negative.Quadrant 3: Both negative.Quadrant 4: Sine negative, cosine positive.Hence, since the sine is negative and that the cosine is positive, the angle is on the fourth quadrant, hence option C is correct.
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Please help Need answer Urgently.
Find the measures of the right triangle that are not given.
The missing values of the right angle triangle are; a = 28 yds; c = 47 yds; ∠B = 54°
How to use Trigonometric Ratios?
From the attached image of the right angle ABC, we see that;
∠A = 36°
b = 38 yd
∠C = 90°
Using trigonometric ratios, we have;
a/38 = tan 36
a = 38 * tan 36
a = 27.61 yd ≈ 28 yds
Similarly;
38/c = cos 36
c = 38/cos 36
c = 46.97 yds ≈ 47 yds
∠B = 180 - (36 + 90)
∠B = 54°
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7. How would the net of a box with a closed top differ from the net of the same box with an open top?
Sketch the net for each case to demonstrate the difference.
The main difference between the two nets is the top face.
The net of a box with a closed top is a 3-dimensional figure that is made up of 6 faces. The faces are all rectangles, and they are connected to each other by flaps. The flaps are the parts of the net that fold over to create the closed top.
The net of a box with an open top is a 3-dimensional figure that is made up of 5 faces. The faces are all rectangles, and they are connected to each other by flaps. However, the top face of the net is not a rectangle. Instead, it is a trapezoid. The trapezoid is created by the flaps that fold over to create the open top.
As you can see, the main difference between the two nets is the top face. The top face of the net of a box with a closed top is a rectangle, while the top face of the net of a box with an open top is a trapezoid.
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Draw the graph of changing length of shadow of a stick from 12pm to 5pm.
The graph of changing length of shadow of a stick from 12pm to 5pm shows that length of shadow increases.
When an object (like the stick in the cartoon) blocks some of the Sun's light, it casts a shadow. The shadow always points away from the Sun. How long the shadow is depends on how low or high the Sun is in the sky. If the Sun is low, we see a longer shadow. Is the Sun is high, we see a shorter shadow.
Length of shadow due to the Sun's light is smallest when the Sun is vertically above. This happens at 12 noon.
Thus the graph of changing length of shadow of a stick from 12pm to 5pm shows that length of shadow increases.
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