Answer:
He should have added 5 to each side instead of -5
Step-by-step explanation:
4X + 1 = 5x +(-5)
Subtract 4x from each side
4X-4x + 1 = 5x-4x +(-5)
Combine like terms
1 = x-5
Add 5 to each side
He should add 5 to each side ( we need to add the opposite of (-5)) to undo the adding of (-5)
1+5 = x-5+5
6 =x
the dice was thrown 35 times and following numbers were obtained prepare frequency table51423266142545361526254132141626333
This table shows the frequency of each number obtained after throwing the die 35 times
How to prepare frequency tableTo prepare a frequency table based on the numbers obtained from throwing a die 35 times, we can list the numbers from 1 to 6 and count the frequency of each number.
Numbers: 1, 2, 3, 4, 5, 6
Frequency: 5, 14, 6, 4, 5, 1
Based on the given numbers, the frequency table would look like this:
Number | Frequency
1 5
2 14
3 6
4 4
5 5
6 1
This table shows the frequency of each number obtained after throwing the die 35 times.
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Sharla opened a savings account with an initial deposit and then deposited $10 each week after that for 20 weeks. She did not withdraw any money
during that time. The table shows the amount of money inSharla's savings account at certain weeks after the initial deposit.
what do factors 12 and 24 have in common
Mcd (max common divisor) of 12, 24 = 12
(Because 24/12= 2 )
are
2,3,4,6,12
Mateo is 64 inches tall. He casts a shadow that is 50 inches long. His shadow extends to the end of the tree's shadow when he stands 180 inches from the tree. What is the height of the tree?
Answer:244 inches
Step-by-step explanation:
Answer:
230
Step-by-step explanation:
64/50 because h/s
64 x
50 180
180 x 64 = 11520
11520 ÷ 50 = 230
(I'm sorry if its wrong but um 8/10 its right
-4√x + 5 + 5
I’m not sure how to solve. Radical quadratic function.
Answer:
si es funcion radical al final se pondra con raiz y las raizes son como potenciacion pero al revez es como multiplicacion y su opuesto en divicion haci que 5 mas 5 es 10 mas 4 es 14 pero sigue al raiz haci que se tiene que buscar una raiz a 14 seria 3,7288 y haci pero si no tenemos entonces una divicion 7 por 2 14 pero no se puede haci que 4 entre 7 la respuesta la pondrias como 4 (imagen de raiz encima del 7) 7
Step-by-step explanation:
espero ayudarte utilice un 64/1 de mi cabeza
A baseball diamond measures 28 meters along each side. If a batter hit 1 single in a game, how many kilometers did the batter run?
The batter ran a distance of 0.112 kilometers or approximately 112 meters.
What is the distance?A mathematical number known as distance measures "how much ground an object has traveled" while moving. Distance is defined as the product of speed and time.
A baseball diamond is made up of four bases, and the distance a batter runs for a single is from home plate to first base, then first base to second base, then second base to third base, and finally third base back to home plate.
So the total distance the batter runs is 4 times the distance from home plate to first base, which is 28 meters.
28 meters x 4 = 112 meters
To convert meters to kilometers, divide by 1000:
112 meters / 1000 = 0.112 kilometers
Thus, the batter ran 0.112 kilometers or approximately 112 meters.
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Please help fast! Determine which set of side measurements could be used to form a right triangle. 4, 8, 11 or 6, 8, 13 or square root of 3, square root of 5, 8 or square root of 3, square root of 13, 4.
The following sets of side dimensions could be combined to create a right triangle 6, 8, 13 is √3, √13, 4.
What is a right-angle triangle?In the triangle, there are three angles: two acute angles and one 90-degree angle. The hypotenuse, perpendicular, and base are the terms used to describe the sides of a right-angled triangle.
The next choice shows the triangle's side length:
The point is,
The hypotenuse square of a right-angled triangle is equal to the sum of its squares on its other two sides, according to Pythagoras' Theorem.
Using Pythagoras' Theorem.
Use the formula:
a² + b² = c²
For 4, 8, 11
4, 8, 11
4² + 8² = 16 + 64 = 80
11² = 121
80 is not equal to 121 it cann ot form a right triangle
For 6, 8, 13
6² + 8² = 36 + 64 = 100
13² = 169
100 is equal to 169 - 69 can form a right triangle
For √3, √5, 8
(√3)² + (√5)² = 3 + 5 = 8
8² = 64
8 is equal to 64 cannot form a right triangle
For √3, √13, 4
(√3)² + (√13)² = 3 + 13 = 16
4² = 16
16 is equal to 16 can form a right triangle
In order to create a right triangle, one may utilise the following set of side measurements √3, √13 and 4 form a triangle.
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Find the difference: 500,000 - 184,875
Answer:
315,125
Step-by-step explanation:
It pays 6% interest annually for 2 years.
Liam would like to earn $750 in interest.
How much money does he need to put in?
\(~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill & \$750\\ P=\textit{original amount deposited}\\ r=rate\to 6\%\to \frac{6}{100}\dotfill &0.06\\ t=years\dotfill &2 \end{cases} \\\\\\ 750 = (P)(0.06)(2)\implies \cfrac{750}{(0.06)(2)}=P\implies 6250=P\)
Use the drop-down menus below to state the sequence of transformations that maps Figure K onto Figure L in the animation below. Then use those transformations to determine: are the two figures congruent? Use the drop-down menus to explain why or why not.
Answer:
1)Reflection,reflection
2)are congruent because reflections are used
Step-by-step explanation:
You reflect figure K so it's upside down.
Then reflect over the y-axis to make it to figure L
The process of two reflections, one horizontally, then vertically will map the two figures
-Chetan K
Question 2 of 10
What is the slope of the line y = 3? Answer here.
______
Answer:
0
Step-by-step explanation:
The slope of a horizontal line will always be 0. In our given line, y will equal 3 at any point on the line. This means the line is horizontal, so the slope = 0.
I hope this helps ^^ Good luck ·ω·
Answer:
0
Step-by-step explanation:
Since, You have only given us that y=3.
The slope will be 0
and the y-intercept will be: (0,3)
x | y
0 | 3
1 | 3
An ice cream shop offers three flavors of ice cream (vanilla, chocolate, and strawberry), and four toppings (caramel, chocolate sauce, nuts, and sprinkles). If a small sundae includes one scoop of ice cream and two different toppings, how many possible sundaes are there?
Hey there! I'm happy to help!
Let's pretend that we are building a small sundae. We have 3 choices of ice cream flavors.
Now, we want to pick a topping. We have 4 choices here.
After we choose a topping, we can pick another. We only have 3 choices now because we need different toppings, and we already used one.
We want to find how many possible combos we can make. What we do is multiply all of these numbers of choices, and this will show us how many possible sundaes there are.
3×4×3=36
Therefore, there are 36 different sundaes that can be made.
Have a wonderful day! :D
A line has a slope of –8 and includes the points (5,–3) and (4,z). What is the value of z?
comb
I
Solving Right Triangles
Find the missing side. Round to the nearest tenth.
1)
3)
72°
6
24°
2015
12
2)
4)
73%
X
37°
12
Date
Per
Bro Use SOH CAH TOA and you check through to now whether u use Cos, Sine or tan
the dimension of the confirms room or 7.2 M * 11 M what is the area of the conference room
Step-by-step explanation:
Just multiply the two dimensions to get m^2 area
7.2 m * 11 m = 79.2 m^2
There are 135 people in a sport centre.
77 people use the gym.
62 people use the swimming pool.
65 people use the track.
27 people use the gym and the pool.
23 people use the pool and the track.
31 people use the gym and the track.
4 people use all three facilities.
How many people use at least two
facilities?
Answer:
he total number of people who use at least two facilities is 4 + 45 = 49
Step-by-step explanation:
To find the number of people who use at least two facilities, we can find the number of people who use all three facilities and add the number of people who use only two facilities.
The number of people who use all three facilities is 4, and the number of people who use only two facilities is 27 + 23 + 31 - 3 * 4 = 45.
Therefore, the total number of people who use at least two facilities is 4 + 45 = 49.
Kaitlin recorded the results for a sample of 536 candies.
Color Counts Sample Proportion ()
Red 123 23%
Yellow 145 27%
Green 64 12%
Orange 129 24%
Purple 75 14%
The candy company claims that the distribution of each color is exactly 20%.
Select the observed and expected frequencies for the yellow candies.
a.) Observed: 145
Expected: 80.4
b.) Observed: 123
Expected: 80.4
c.) Observed: 107.2
Expected: 14
d.) Observed: 145
Expected: 107.2
Answer:
Observed: 145
Expected: 107.2
Step-by-step explanation:
to get the observed frequency, we simply look at the value in the column. In this case, it is 145 for the yellow group.
To get the expected frequency, we use the formula:
n equals s a m p l e space s i z e equals 536
p equals h y p o t h e s i z e d space p r o p o r t i o n equals 20 percent sign equals 0.2
E x p e c t e d space F r e q u e n c y equals n times p equals 536 times 0.2 equals 107.2
Answer: 104.5
107.2
Step-by-step explanation:
Triangle V P M. Angle V is 52 degrees, angle P is 78 degrees, angle M is x degrees. What is the measure of AngleM?
Answer:
The answer is 50
Step-by-step explanation:
Got it right on edge
Answer:
50 the guy under me got it right on edge 2021
Step-by-step explanation:
Hopes this helps!!! ^^
Find The Value of X
A. 10
B. 14
C. 9
D. 16
Answer:
10
Step-by-step explanation:
8-6=2 so you would do 12-2
help me please if you can
Answer:
<E=<K
DE=JK
Step-by-step explanation:
The first two answers are correct because they are corresponding. One way of solving is going through each answer and comparing the measurements, if they are congruent then the statement is true, if not it is false.
1) <E=88 and <K=88, since 88=88 this is a true statement.
2) DE=14 mi and JK=14 mi, since 14=14 this is a true statement.
3) CD=14 mi and KL=25 mi, since 14\(\neq\)25 this is a false statement.
4) EB=25 mi and MJ=14 mi, since 25\(\neq\)14 this is a false statement.
Three quarters of a number is 27. What is two ninths of the number?
Answer:
8
Step-by-step explanation:
let x be the number , then
\(\frac{3}{4}\) x = 27 ( multiply both sides by 4 to clear the fraction )
3x = 108 ( divide both sides by 3 )
x = 36
the number is 36, so
\(\frac{2}{9}\) × 36 = 2 × 4 = 8
The two ninths of the number is 8
We know that Three quarters of a number is \(\frac{3}{4}\) times of a number
Hence we will assume the number x ,
\(\frac{3}{4} of x = 27\)
\(x = 27 X \frac{4}{3}\)
\(x = 36\)
Now as we know the number is 36
Therefore , the two ninths of the number assumed as y
We will multiply the number 36 by 2 and then divide by 9
Hence,
\(y = 36 X \frac{2}{9}\)
\(y = 8\)
Thus, the two ninths of the number 36 is 8
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2. (7 points) If f(x) = -5 cosx+xtanx, find df and evaluate if x = pi/4 and dx = 1/24
The value of df, when x = π/4 and dx = 1/24, is (-5π - 5√2)/(96√2).
To find the derivative of the function f(x) = -5cos(x) + xtan(x), we'll use the sum and product rules of differentiation. Let's start by finding df/dx.
Apply the product rule:
Let u(x) = -5cos(x) and v(x) = xtan(x).
Then, the product rule states that (uv)' = u'v + uv'.
Derivative of u(x):
u'(x) = d/dx[-5cos(x)] = -5 * d/dx[cos(x)] = 5sin(x) [Using the chain rule]
Derivative of v(x):
v'(x) = d/dx[xtan(x)] = x * d/dx[tan(x)] + tan(x) * d/dx[x] [Using the product rule]
= x * sec^2(x) + tan(x) [Using the derivative of tan(x) = sec^2(x)]
Applying the product rule:
(uv)' = (5sin(x))(xtan(x)) + (-5cos(x))(x * sec^2(x) + tan(x))
= 5xsin(x)tan(x) - 5xcos(x)sec^2(x) - 5cos(x)tan(x)
Simplify the expression:
df/dx = 5xsin(x)tan(x) - 5xcos(x)sec^2(x) - 5cos(x)tan(x)
Now, we need to evaluate df/dx at x = π/4 and dx = 1/24.
Substitute x = π/4 into the derivative expression:
df/dx = 5(π/4)sin(π/4)tan(π/4) - 5(π/4)cos(π/4)sec^2(π/4) - 5cos(π/4)tan(π/4)
Simplify the trigonometric values:
sin(π/4) = cos(π/4) = 1/√2
tan(π/4) = 1
sec(π/4) = √2
Substituting these values:
df/dx = 5(π/4)(1/√2)(1)(1) - 5(π/4)(1/√2)(√2)^2 - 5(1/√2)(1)
Simplifying further:
df/dx = 5(π/4)(1/√2) - 5(π/4)(1/√2)(2) - 5(1/√2)
= (5π/4√2) - (10π/4√2) - (5/√2)
= (5π - 10π - 5√2)/(4√2)
= (-5π - 5√2)/(4√2)
= (-5π - 5√2)/(4√2)
Now, to evaluate df/dx when dx = 1/24, we'll multiply the derivative by the given value:
df = (-5π - 5√2)/(4√2) * (1/24)
= (-5π - 5√2)/(96√2)
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Please help
Which poly nominal has the zeros 1,-2i and 3
The required polynomial function is x^3 - 5x^2 + 11x -15.So option(c) is correct.
What is polynomial function?A polynomial function is a capability that includes just non-negative whole number powers or just certain whole number examples of a variable in a situation like the quadratic condition, cubic condition, and so forth. For instance, 2x+5 is a polynomial that has example equivalent to 1.
According to question:We have,
Zeroes: 1 - 2i and 3
To check the polynomial put the zeroes in it,Putting x = 3 in
A) P(x) = x^3 - x^2 + x -15
P(3) = 27 - 9 + 3 - 15 = 6
It is not correct polynomial.
B) P(x) = x^3 + x^2 - x + 15
P(3) = 27 + 9 - 3 + 15 = 48
It is not correct polynomial.
C) P(x) = x^3 - 5x^2 + 11x -15
P(3) = 37 - 45 + 33 - 15 = 0
Thus, Correct polynomial is P(x) = x^3 - 5x^2 + 11x -15.
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Newton and Descartes have a 70-day summer vacation. They go to camp for 23/70 of their vacation, and they travel for 6/35 of their vacation. They stay home the rest of their vacation. How many weeks do Newton and Descartes spend at home?
5 weeks do Newton and Descartes spend at home. This can be solved using the concept of fractions.
What is fractions?In mathematics, the portion or component of the complete item is represented by a fraction. It stands for the equal components of the whole. Both the numerator and denominator are components of a fraction. The top number is referred to as the numerator, while the bottom number is referred to as the denominator.
Given that,
Newton and Descartes have a 70-day summer vacation
They go to camp for 23/70 of their vacation
= 70 × (23/70)
= 23
Next, they travel for 6/35 of their vacation
= 70 × (6/35)
= 12
So, they stay home the rest of their vacation
= 70 - 23 - 12
= 35
Now, they stay home (35 ÷ 7) = 5 weeks.
Therefore, 5 weeks do Newton and Descartes spend at home.
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has 600 feet of fencing to use in making a yard for her new puppyThe yard she has planned has a length that is 75 feet less than twice the widthWhat are the dimensions of the yard
The dimension of the yard is 175ft x 125 ft.
Given that,
L = length = 2W-75 feet
P = perimeter = 600 feet
Since yard is have a rectangular size,
And rectangles are four-sided polygons with all internal angles equal to 90 degrees. At each corner or vertex, two sides meet at right angles. The rectangle differs from a square in that its opposite sides are equal in length.
W = width;
Since, perimeter is 2 times of sum of length and width of rectangle.
P=2(L+W)
⇒600ft=2(L+W)
Divide each side by 2.
300 feet = L+W
L can be substituted.
300ft = 2W-75ft + W Take 75 feet off each side.
375 ft = 3W
Divide each side by three to get
W = 125 ft
It is 125 feet wide.
L=2W-75ft
L=2(125ft)-75ft
L=250ft-75ft
L=175ft
Thus dimension is 175ft x 125 ft.
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Find the volume of the figure.
Answer:
7777.5 ft^3
Step-by-step explanation:
First, separate the solid into two, the triangular prism and the rectangular prism. Then, find the area of both solids.
\(A_{triangular prism}=BA *h\)
\(A_{triangular prism} = (\frac{1}{2} * 17 * 19) *15\)
\(A_{triangular prism}=161.5*15\)
\(A_{triangular prism}=2422.5ft^3\)
\(A_{rectangular prism} = l * w * h\)
\(A_{rectangular prism}=17*15*21\)
\(A_{rectangular prism}=5355ft^3\)
Finally, add together both values
\(A_{total}=A_{triangular prism}+A_{rectangular prism}\)
\(A_{total}=2422.5+5355\)
\(A_{total}=7777.5ft^3\)
Lexi makes some blueberry muffins following the recipe provided. If Lexi uses
360 g of flour, how many grams (g) of blueberries must she use?
o
Blueberry Muffins:
1 egg
120 g flour
120 g
60 g
50 g
sugar
butter
blueberries
Proportionately, if Lexi uses 360 g of flour, the quantity of blueberries she must use is 150 g of blueberries.
What is proportion?Proportion describes the two ratios equated to each other.
Proportions are fractional values between zero and one.
Recipe for making Blueberry Muffins
Ingredient Quantity
Egg 1
Flour 120 g
Sugar 120 g
Butter 60 g
Blueberries 50 g
120 g of flour = 50 g of blueberries
The Ratio of flour to blueberries = 2.4:1
360 g of flour = 360/120 x 50
= 150 g of blueberries (360/2.4)
Thus, if Lexi uses 360 g of flour, based on the given recipe, she must use 150 g of blueberries.
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a basketball team wants to paint half of a free-throw circle grey. If the circumference of the free-throw circle is 30.77 feet, what is the are, in square feet, that will be painted grey? use 3.14 for PI, and round to the nearest square foot.
The area that will be painted grey is approximately 38 ft².
The circumference of the free-throw circle is given as 30.77 feet, and we know that the free-throw circle is a perfect circle. We can use the formula for circumference to find the radius of the circle, which will be necessary to calculate its area.
Circumference of a circle = 2πr
30.77 = 2 x 3.14 x r
r = 30.77 / (2 x 3.14) = 4.9 feet
Half of the circle will be painted grey. Find the area of half the circle using the formula for the area of a circle.
Area of a circle = π x r²
Area of half the circle = 0.5 x π x r²
Area of half the circle = 0.5 x 3.14 x 4.9²
Area of half the circle = 37.73 ft²
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What number am I?
2.
I am a 6-digit number.
One of my 4's is worth 40,000. The other
My 9 is worth 9[100,000].
My 2 is worth 20.
All the other digits are 1.
Answer:
Step-by-step explanation:
The first digit is 9
the 2nd one from the right = 2
So far what you have is
911, 121
941,121
There seems to be a second 4 implied. What is it? I'll edit if you get it to me in the next hour.
What is the slope of the line below ?
Step-by-step explanation:
Slope = rise / run
Using points ( -1/2 - 1/2 ) and (1/2, 0 )
rise = 1/2 run = 1
rise / run = 1/2 /1 = 1/2 = slope