Answer:
x = 26
Step-by-step explanation:
The three angles form a straight line, so they will sum to 180
4x - 8 + 34 + 76- x = 180
Combine like terms
3x+ 102 = 180
Subtract 102 from each side
3x+102-102 = 180-102
3x= 78
Divide each side by 3
3x/3 = 78/3
x = 26
When a certain ball is dropped, the function f(x)=4.5(0.65)^x models it’s height in feet after each bounce, where x is The bounce number. To the nearest hundredth, what is the height after the third bounce?
Answer:
8.555625.
Step-by-step explanation:
Um, well...
4.5(0.65) is 2.925.
Then from there it is 2.925^x is 8.555625.
The number of walls, w, that Joe can paint in t hours is given by the equation w=32t−1. Answer the questions below.
How many hours will it take Joe to paint 7 walls?
A
16/3
B
5.7
C
4.8
D
173
We have been given an equation [tex]w=\frac{3}{2}t-1[/tex] that represents umber of walls, w, that Joe can paint in t hours. We are asked to find the number of hours it will take Joe yo paint 7 walls.
To solve our given problem, we will substitute [tex]w=7[/tex] in our given equation as:
[tex]7=\frac{3}{2}t-1[/tex]
Let us solve for t.
[tex]7+1=\frac{3}{2}t-1+1[/tex]
[tex]8=\frac{3}{2}t[/tex]
[tex]8\cdot\frac{2}{3}=\frac{2}{3}\cdot\frac{3}{2}t[/tex]
[tex]\frac{8\cdot2}{3}=t[/tex]
[tex]\frac{16}{3}=t[/tex]
Therefore, it will take [tex]\frac{16}{3}[/tex] hours Joe to paint 7 walls.
please please please help
Answer:
The first one is (0.5,1)
second is (1.5,1)
Step-by-step explanation:
I will edit this for the second one sec
Think About the Process What procedure can you use to convert a fraction to a decimal?
1/4 as a terminating decimal.
What procedure can you use to convert a fraction to a decimal?
A. denominator) numerator
B. denominator) numerator. 100
C. numerator denominator. 100
D. numerator denominator
1/4=?
Answer:
The answer is A
with fractions divide the smaller number over the larger number
1/4 = 1 divided by 4
or
think of the scenario of 4 quarters
1 quarter = 25 cents out of 100 cents
so
1/4 = 0.25
I will upvote and give brainliest answer
Answer:
3.4
Step-by-step explanation:
Answer:
0<x<8.7
Step-by-step explanation:
for it to be a triangle, sum of two sides must be greater than the largest side.
so, if x is 8.4 or greater, it can't be a triangle since it is greater than the sum of 3.2 and 5.5
a side must be greater than 0
so , 0<x<8.7
Question: Jason, Katie and Leonard share some money. Jason gets 1/5 of the money. Katy and Leonard share the rest of the money in the ratio 17:3
Jason gives 45% of his share to his mum, he has £198 left. How much more money does Katy receive than Jason...
There is my answer and my workings. The thing is, you know when you work out something but you’re confused by how you even did it? Yeah, that’s my problem right now with how my answer is 100%=£360 Please tell me if I’m correct and how exactly I got my percentage. Thank you for your time on this horribly worded situation I have created.
Jason's initial share was £360 before giving 45% to his mum. The total money shared was £1800. Katy receives £864 more than Jason.
Explanation:First, we need to find out how much money Jason initially received before he gave away 45% to his mum. Since £198 is 55% of his initial share (100% - 45% = 55%), we can find the full amount by calculating £198 ÷ 0.55. This gives us Jason's total share before he gave any money to his mum, which is £360.
Given that Jason gets 1/5 of the money, we multiply his share by 5 to find the total amount of money shared, which is £360 × 5 = £1800. Since Jason took his 1/5 share, the remaining 4/5 is shared between Katy and Leonard in the ratio 17:3. Hence, the combined share of Katy and Leonard is 17 + 3 = 20 parts of the remaining money.
To find out how much each part is worth, we divide the remaining money by 20. The remaining money is 4/5 × £1800 = £1440, so each part is worth £1440 ÷ 20 = £72.
Hence, Katy receives 17 parts × £72 = £1224, and Leonard receives 3 parts × £72 = £216. The difference in the amount received by Katy compared to Jason is £1224 - £360 = £864, so Katy receives £864 more than Jason.
What is this value???????
Answer:
[tex] - 6 {( - 2)}^{ - 3} {4}^{2} = \frac{ - 6(16)}{ - 8} = \frac{ - 96}{ - 8} = 12[/tex]
The correct answer is B.
WILL GIVE BRAINLIST IF ANSWERS QUICKLY!
Select the decimal that is equivalent to 44/11 . Choose 1 answer: (Choice A) 0.17 (Choice B) 0.\overline{17}0. 17 0, point, start overline, 17, end overline (Choice C) C 0.250.250, point, 25 (Choice D) D 0.2\overline{5}0.2 5 0, point, 2, start overline, 5, end overline (Choice E) E None of the above Stuck?Watch a video or use a hint.
Answer:
choice a is the answer
0.17
Step-by-step explanation:
Answer:
.25
Step-by-step explanation:
.25 is the only one that is equivalent to 11/44
hope this helps ^‿^
Express 19/11
as a mixed number.
Answer:
1 8/11
Step-by-step explanation:
19/11
11 goes into 19 one time with 8 left over
put the 8 over the denominator
1 8/11
1 8/11
is the correct answer.
What is seven to the fourth power in standard form
Answer:
I need more information to solve this.
Step-by-step explanation:
Standard form is a formula: if I remember correctly, it is Ax+By=C
I hope I helped somehow!
Please Help!!! Braniest!!!!
What is the converse of a theorem?
A. A statement that is given
B. A statement that cannot be proven
C. A statement that is proved by two different theorems
D. A statement formed by transposing what is to be proved by a theorem and what is given
The converse of a theorem is created by reversing the hypothesis and the conclusion of the theorem's statement. The correct multiple-choice answer is 'D. A statement formed by transposing what is to be proved by a theorem and what is given.'
The converse of a theorem is a logical statement where the elements of the theorem's statement are switched. If you have a theorem that states "If A, then B," the converse of that theorem would be "If B, then A." This essentially transposes the hypothesis and the conclusion. In the context of the multiple-choice options provided, the correct answer is D.
A statement formed by transposing what is to be proved by a theorem and what is given. It's important to note that even though a theorem is proven true, its converse is not necessarily true and must be proven separately if it is to be accepted as true.
What do the following two equations represent?
-4x - 5y = -4
4x + 5y = 4
(parallel, perpendicular, equal, or none of the above)
Joshua has a ladder that is 15 ft long. He wants to lean the ladder against a vertical wall so that the top of the ladder is 14.8 ft above the ground. For safety reasons, he wants the angle the ladder makes with the ground to be no greater than 70°. Will the ladder be safe at this height? Show your work and draw a diagram to support your answer.
Joshua's 15 ft ladder, if leaned against the wall to reach a height of 14.8 ft, would be at an unsafe angle less than 70° and thus, is not safe to use in this manner.
Explanation:The student has asked whether Joshua's ladder, which is 15 feet long and is supposed to lean against a wall with the top at 14.8 feet above the ground, will be safe with an angle no greater than 70°. To determine this, we can use the trigonometric function cosine, which relates the adjacent side (the height at which the top of the ladder reaches the wall) to the hypotenuse (the length of the ladder) in a right-angled triangle. The cosine of the maximum safe angle (70°) should therefore be equal to or greater than the ratio of the height of the ladder against the wall (14.8 feet) to the length of the ladder (15 feet).
We calculate the cosine of 70°: cos(70°) ≈ 0.342. Then we calculate the ratio 14.8/15 which equals 0.9867. Since 0.9867 is much greater than 0.342, it means the ladder will form an angle that is less than 70°, which is not within the safe range as per Joshua's requirement.
Therefore, it is not safe for Joshua to lean the ladder in this manner because the angle formed will be steeper than the maximum safe angle of 70°, which may result in the ladder slipping.
Michael has soccer practice every other day, swimming practice every third day, and tennis lesson every 5th day. This Wednesday he had soccer, swimming, and tennis.
What day of the week will it be?
Answer:
Friday
Step-by-step explanation:
Just count on your fingers to get Friday
Answer:
Friday
Step-by-step explanation:
think then you will get it
please give me brainly
What is the positive solution to this equation?
4x2 + 12x = 135
If the length of side A is 16 cm, the length of side B is 10 centimeters, and M sinA= 42 degrees, what is the measure of sinB? Round your answer to two decimal places.
Answer:measure is 24.72°
Step-by-step explanation:U can trust cause i actualy was deticated to solve it XD
If the determinant of this matrix is 24, what is the value of b?
[tex]\left[\begin{array}{ccc}-5&4&1\\5&-7&-4\\-6&b&6\end{array}\right][/tex]
Answer:
Step-by-step explanation:
Answer is B. 8
The value of b such that the determinant is 24 will be 8.
What is the matrix?matrix, a collection of numbers lined up in rows and columns to produce a rectangular array. The elements of the matrix, also known as the entry, are the numerals.
Matrix applications are crucial in many fields, including computer graphics, where they have been used to explain image transformations and other adjustments.
Given the matrix,
Its determinant will be
-5( -42 + 4b ) - 4(30 - 24 ) + 1(5b - 42 ) = 24
-15b + 144 = 24
15b = 120
b = 8
Hence the value of b will be 8.
For more about matrices
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Betsy started a business 2 years ago.She had 8 customers in the first year.She added 18 customers in the second year. Betsy's goal is that in each of next 3 years she will have three times as many customers as the year before.Betsy says her calculations in the table below show that if she meets this goal each year,she will have 312 customers 4 years from now.is Betsy correct? Use the drop-down menus to explain your reasoning
Betsy is incorrect as he wrote [tex]3^4[/tex] = 12 but it should be 81.
What is Exponents and Power?Exponents and powers are ways used to represent very large numbers or very small numbers in a simplified manner.
For example, if we have to show 3 x 3 x 3 x 3 in a simple way, then we can write it as [tex]3^4[/tex], where 4 is the exponent and 3 is the base.
Given:
Expression: (8 + 18) x [tex]3^4[/tex]
Now, solving the Above Expression
(8 + 18) x [tex]3^4[/tex]
= 26 x [tex]3^4[/tex]
= 26 x ( 3.3.3.3)
= 26 x 81
= 2106
Betsy make a mistake as he wrote [tex]3^4[/tex] = 12 but it should be 81.
Learn more about exponents here:
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1. Find the equation of the line that has a slope of 10 and a y-intercept of 15.
Use form y=mx+b
Answer:
y = 10x + 15
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + b ( m is the slope and b the y- intercept )
Here m = 10 and b = 15, thus
y = 10x + 15
i'll give you 200 points if you answer me this , Carly makes a table to show the relationship between meters, centimeters, and millimeters. Use the rule "add 100" to complete the column for the number of centimeters. Then, use the rule "add 1,000" to complete the column for the number of millimeters. How many centimeters are in 10 meters? How many millimeters are in 10 meters?
Answer:
cm=1500
mm= 15000
hope it helps if you needed help ._.
Step-by-step explanation:
Answer:
1,000 centimeters are in a meter and 10,000 millimeters are in a meter.
Step-by-step explanation:
10 x 100=1,000
1000 divided by 100=10
10 x 1000=10,000
10,000 divided by 1,000=10
If 75 people attend a concert and tickets for adults cost $2.75 while tickets for children cost $2.25 and
total receipts for the concert was $188.25, how many of each went to the concert?
There were
adults and
children that attended the concert.
Answer:
Adult = 39
Children = 36
Step-by-step explanation:
The total number of people = 75
Cost of adult ticket = $2.75
Cost of children ticket = $2.25
Total receipts = $188.25
Let the number of adult = x
Let the number of children = y
X + y = 75 ......equation (i)
(X × 2.75) + (y × 2.25) = 188.25
2.75x + 2.25y = 188.25.......equation (ii)
To find the numbe of adult and children that attended, we'll have to solve equation (i) and (ii) simultaneously.
From equation 1,
X + y = 75
X = 75 - y......equation(iii)
Put equation (iii) into equation (ii)
2.75*(75 - y) + 2.25y = 188.25
206.25 - 2.75y + 2.25y = 188.25
206.25 - 0.5y = 188.25
Collect liketerms
0.5y = 206.25 - 188.25
0.5y = 18
Y = 18 / 0.5
Y = 36
Put y = 36 into equation (i)
X + 36 = 75
X = 39
Therefore the number of adult is 39 while that of children is 36.
Lin’s family has completed 60% of a trip. They have traveled 30 miles. How long is the whole trip?
Answer:
50 miles
Step-by-step explanation:
60 divided by 30 = 5
5 miles = 10% of the trip
40% of the trip left to go
40% = 20 miles (5 x 4)
30 + 20 = 50
hope this helps!
To find the length of the whole trip, set up a proportion using the given information and solve for the missing variable. The whole trip is approximately 50 miles long.
Explanation:To find the length of the whole trip, we can set up a proportion using the information given. We know that 60% of the trip is equivalent to 30 miles. We can set up the proportion:
60% / 100% = 30 miles / x
By cross-multiplying, we get:
x = (30 miles * 100%) / 60%
Calculating this, we find that the whole trip is approximately 50 miles long.
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A picture is 5 inches wide and 8 inches tall.
A photographer wants to use a scale factor of 2.5 to enlarge a picture. What will the area of the picture be after it is enlarged?
40 in²
250 in²
100 in²
81.9 in²
Answer:
[tex]\large\boxed{\tt Area=250in.^{2}}[/tex]
Step-by-step explanation:
[tex]\textsf{We are asked for the area of a Dilated Rectangle.}[/tex]
[tex]\textsf{We are given the dimensions, 5 inches wide and 8 inches in length. Then, we are}[/tex]
[tex]\textsf{given a \underline{Scale Factor}.}[/tex]
[tex]\large\underline{\textsf{What is a Scale Factor?}}[/tex]
[tex]\textsf{A Scale Factor is a term that represents how large the next shape will be. Note}[/tex]
[tex]\textsf{that only sides of a shape are affected by the Scale Factor. Angles, and the form}[/tex]
[tex]\textsf{of the shape remain the same.}[/tex]
[tex]\underline{\textsf{Example;}}[/tex]
[tex]\textsf{We are given a rectangle with 5 cm. as the length, and 6 cm. as the width.}[/tex]
[tex]\textsf{The Scale Factor is 2.}[/tex]
[tex]\textsf{We will multiply the dimensions of the triangle by 2, then find the area.}[/tex]
[tex]\large\boxed{\tt Area = Length \times Width}[/tex]
[tex]\tt Area=(5 \times 2) \times (6 \times 2)[/tex]
[tex]\tt Area=10 \times 12[/tex]
[tex]\large\boxed{\tt Area=120cm^{2}}[/tex]
[tex]\large\underline{\textsf{For our problem;}}[/tex]
[tex]\textsf{We should start solving for the dilated area after multiplying the dimensions by}[/tex]
[tex]\textsf{the Scale Factor.}[/tex]
[tex]\textsf{Remember That You Should Not Multiply The Scale Factor By The Area.}[/tex]
[tex]\large\underline{\textsf{Solving;}}[/tex]
[tex]\textsf{Multiply the dimensions by the Scale Factor.}[/tex]
[tex]\tt Area=(5 \times 2.5) \times (8 \times 2.5)[/tex]
[tex]\underline{\textsf{This will evaluate to;}}[/tex]
[tex]\tt Area=12.5 \times 20[/tex]
[tex]\large\boxed{\tt Area=250in.^{2}}[/tex]
The area of the picture after being enlarged by a scale factor of 2.5 will be 250 square inches, which is determined by multiplying the new dimensions (12.5 inches by 20 inches). The correct answer is option b) 250 in².
To find the new area of the picture after enlargement, we use the scale factor. First, we find the original area of the picture by multiplying the width by the height: 5 inches * 8 inches = 40 [tex]in^2[/tex]. The photographer wants to enlarge the picture by a scale factor of 2.5. This means that both the width and the height of the picture will be multiplied by 2.5.
So the new width will be 5 inches * 2.5 = 12.5 inches and the new height will be 8 inches * 2.5 = 20 inches. Now we can calculate the enlarged picture's area:
12.5 inches * 20 inches = 250 [tex]in^2[/tex]. Therefore, the area of the picture after enlargement will be 250 square inches, which corresponds to option (b).
What is the solution to the equation m/m+4 + 4/4-m = m^2/m^2-16 ?
Answer:
m= -2
Step-by-step explanation:
The solution is m = -2
Step-by-step explanation:
The given rational equation is
We'll simplify the left hand side first.
The LCD is (m+4)(4-m)
Hence, multiply and divide the first term by 4-m and second by m +4
Use the difference of squares rule
We can now add the numerator
On simplifying, we get
Add the like terms
Multiply and divide left hand side by -1
We can cancel the denominator
Divide both sides by 8
The solution is m = -2
please answer 2, and 3
Answer:
2: 2,3
3: 4
Step-by-step explanation:
i need helpp will give brainliesst!!!
Answer:
C) 7c+6s-63
Step-by-step explanation:
set up this equation because you are adding the two expressions
[tex]7c-18+6s-45[/tex]
combine like terms
[tex]7c+6s-63[/tex]
Find the number if 6% of it is 20% of 6
thanks plz help!!!
Answer:
20.
Step-by-step explanation:
We can begin by calculating 20% of 6:
0.2 × 6= 1.2
If 1.2 is 6% of the number, we can set up an equation like this:
0.06x = 1.2
Now, divide on both sides, giving us:
x= 20.
Cory’s family has three times as many pets as Paula’s family. Paula’s family has 1 cat and half the number of dogs as Yuri’s family, but no other pets. Yuri’s family has 2 dogs, 1 cat, and 3 lizards. How many pets does Cory’s family have?
Answer:
6 Pets Cory has
Step-by-step explanation:
Answer:
Cory's family:
3 cats
3 dogs
Step-by-step explanation:
Paula's family-
1 cat
1 dog
Yuri's family:
2 dogs
1 cat
3 lizards
Cory's family:
3 cats
3 dogs
At which root does the graph of f(x) = (x+4)6(x + 7)5 cross the x axis?
Answer:
x = -7
Step-by-step explanation:
Our function is [tex]f(x) =(x+4)^6(x+7)^5[/tex]. Notice that our possible roots are when x + 4 = 0 and when x + 7 = 0. So, our roots are -4 and -7.
However, the power above x + 4 is even, meaning the graph will simply touch the x-axis at x = -4, but not pass through. The power above x + 7, though, is odd, which means the graph will cross the x-axis.
Thus, the answer is x = -7.
Answer:
x = -7
Step-by-step explanation:
f(x) = (x+4)⁶(x + 7)⁵
The roots are when f(x) = 0
(x+4)⁶ = 0
x = -4 (multiplicity 6)
(x+7)⁵ = 0
x = -7 (multiplicity 5)
The graph is tangential to the x-axis on roots with even multiplicity, crosses tge x-axis at roots with odd multiplicity
This graph cuts/crosses the x-axis at x = -7
The function f(x)=x^2 -6x+3 is transformed such that g(x)=f(x-2). Find the vertex of g(x).
(5,6)
(5,-8)
(1,-6)
(3,-8)
Answer:
[tex] g(x) = (x-2)^2 -6(x-2) +3[/tex]
[tex] g(x) = x^2 -4x +4 -6x +12 +3[/tex]
[tex] g(x) = x^2 -10 x +19[/tex]
[tex] g(x) = x^2 -10 x + 25 +19 -25[/tex]
[tex] g(x) = (x-5)^2 -6[/tex]
[tex] y= (x-h)^2 -kk[/tex]
Where h,k represent the vertex and we got:
[tex] (h,k)= (5,6)[/tex]
(5,6)
Step-by-step explanation:
We have this original function given :
[tex] f(x) = x^2 -6x +3[/tex]
And we want to find the vertex for this new function [tex] g(x) = f(x-2)[/tex] and we have:
[tex] g(x) = (x-2)^2 -6(x-2) +3[/tex]
And solving the square we got:
[tex] g(x) = x^2 -4x +4 -6x +12 +3[/tex]
And adding similar terms we got:
[tex] g(x) = x^2 -10 x +19[/tex]
Now we can complete the square like this:
[tex] g(x) = x^2 -10 x + 25 +19 -25[/tex]
[tex] g(x) = (x-5)^2 -6[/tex]
The general equation is given by:
[tex] y= (x-h)^2 -kk[/tex]
Where h,k represent the vertex and we got:
[tex] (h,k)= (5,6)[/tex]
(5,6)