Answer: 64
Step-by-step explanation:
[tex]10x+8+5x-4=12x+16\\15x+4=12x+16\\3x+4=16\\3x=12\\x=4\\\\LN=12(4)+16=\boxed{64}[/tex]
What is P(greater than 8)?
Answer:
Yes
Step-by-step explanation:
The sum must be greater than 8 it can't be 7 anyway. Sums can be 9, 10 or 12. P = (4+3+1)/36 = 3/36
Which combined inequality has the same solution set shown in the graph of x?
Number line ranging from negative four to four, with a line beginning with an open point at negative three and ending with a closed point at negative one
–3 > x ≥ –1
–3 < x ≤ –1
–3 ≤ x < –1
–3 ≤ x > –1
Step-by-step explanation:
an open (empty) point means the point itself is not included.
a closed (filled) point means the point itself is included.
the x values going from -3 (not included) to -1 (included) means
-3 < x <= -1
so, the second answer is correct.
Please show work and thank you
Answer: [tex]\sqrt{109} \text{ m }[/tex]
Step-by-step explanation:
If we let the length of the ladder be [tex]x[/tex], as shown in the diagram, this means that by the Pythagorean theorem, [tex]x=\sqrt{10^{2}+3^{2}}=\boxed{\sqrt{109}}[/tex] m.
Which criterion, if any, could prove the triangles are congruent?
Answer: None
Step-by-step explanation:
There is only one pair of angles and one pair of sides, which is not sufficient to prove triangle congruence.
Can someone help me??
Answer:
9: 50
10: 90
11: 60
12: 25 and 115
13: 130 and 40
Thats all i can do, im sorry but i hope this helps ^^
SOMEONE HELP ASAP! PLEASE EXPLAIN IN DEPTH!
Find the area. You must show all work to receive credit. (10 points)
Figure ABCDEF is shown. A is located at negative 5, negative 8. B is located at 1, negative 8. C is located at 3, negative 5. D
The area of the figure is 51.4 unit²
The complete questionFigure ABCDEF is shown. A is located at 5, negative 8. B is located at 11, negative 8. C is located at 11, 0. D is located at 6
See attachment for the figure
The area of the figureThe figure can be divided into the following shapes:
Trapezoid 1: Opposite sides = (8 and 5) and height = 5Trapezoid 2: Opposite sides = (5 and 4.8) and height = 2Triangle: Base = 4.8 and height = 4The area of the trapezoid is:
Area = 0.5 * (Sum of opposite sides) * height
So, we have:
Trapezoid 1 = 0.5 * (8 + 5) * 5 = 32.5
Trapezoid 2 = 0.5 * (5 + 4.8) * 2 = 9.8
The area of the triangle is:
Area = 0.5 * Base * Height
This gives
Triangle = 0.5 * 4.8 * 4 = 9.6
Add the individual areas
Area = 32 + 9.8 + 9.6
Evaluate the sum
Area = 51.4
Hence, the area of the figure is 51.4 unit²
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what is the answer to thiss
Hi Student!
This question is fairly simple because it gives us an equation and they also give us a value for the variable that is within the equation and they tell us evaluate the expression. So let's plug in the values and solve.
Plug in the values
[tex]m^2 + 5[/tex][tex](9)^2 + 5[/tex]Factor out the exponent
[tex](9*9) + 5[/tex][tex]81 + 5[/tex]Combine
[tex]86[/tex]Therefore, the final answer that we would get when substituting m with 9 in the given equation is that we get 86.
Mariano is standing at the top of a hill when he kicks a soccer ball up into the air. The height of the hill is h feet, and the ball is kicked with an initial velocity of v feet per second. The height of the ball above the bottom of the hill after t seconds is given by the polynomial −16t2 + vt + h. Find the height of the ball after 4 seconds if it was kicked from the top of a 25 foot tall hill at 72 feet per second.
Answer:
57 f
Step-by-step explanation:
-16t² + vt + h
-16(4 s)² + (72 f/s)(4 s) + (25 f)
-256 + 288 + 25 = 57
Une fonction polynomiale du second degré possède les caractéristiques
suivantes :
• La fonction est croissante sur l'intervalle [0, 8].
• La fonction est décroissante sur l'intervalle ]-10, 0].
• La courbe passe par le point (-8, 4).
PSST
↓
Voici les symboles dont tu pourrais avoir besoin dans ta réponse. N'hésite pas à
les copier-coller à partir d'ici si tu ne les trouves pas sur ton clavier.
[]%
SAVOIR-FAIRE
INDICE
Représente graphiquement la fonction, puis détermine son codomaine. Utilise la
notation décimale au besoin.
Le codomaine est.
Je n’arrive pas à trouver le co domaine si quelqu’un peut m’aider svp?
A second-degree polynomial takes the form
[tex]f(x) = ax^2 + bx + c[/tex]
for some constants a, b, and c. Such a function is continuous and differentiable everywhere in its domain.
Differentiating f(x) with respect to x gives
[tex]\dfrac{df}{dx} = 2ax + b[/tex]
We're told that
• f(x) is increasing on [0, 8]
• f(x) is decreasing on ]-10, 0]
and since df/dx is continuous, this tells us that df/dx = 0 when x = 0. It follows that b = 0, and we can write
[tex]f(x) = ax^2 + c[/tex]
We're also given that the curve passes through the point (-8, 4), which gives rise to the constraint
[tex]f(-8) = 64a - 8b + c = 4 \implies 64a + c = 4[/tex]
Since f(x) is decreasing on ]-10, 0], we have df/dx < 0 when x = -8, so
[tex]2ax+b < 0 \implies -16a < 0 \implies a > 0[/tex]
This means f(x) is minimized when x = 0, with min{f(x)} = c, so the co-domain of f(x) is the set {f(x) ∈ ℝ : f(x) ≥ c}.
Without another condition, that's all we can say about the co-domain. There are infinitely many choices for the constants a and c that satisfy the given conditions. For example,
a = 1, c = -60 ⇒ f(x) = x² - 60 ⇒ f(-8) = 4
⇒ co-domain = {f(x) ∈ ℝ : f(x) ≥ -60}
a = 2, c = -124 ⇒ f(x) = 2x² - 124 ⇒ f(-8) = 4
⇒ co-domain = {f(x) ∈ ℝ : f(x) ≥ -124}
etc.
Question 6 of 10
Estimate the sum of the decimals below by rounding to the nearest whole
number. Enter your answer in the space provided.
6.833
3.594
+1.369
————
Answer here
Step-by-step explanation:
7
4
1
----
12
reality
6.833
3.594
1.369
----------
11.796
Translate then Solve for the variable:
The sum of two times a number and 10 is five times the difference of a number and six.
Solve for the variable then type the answer after rounding your answer to the nearest hundredths
The linear equation will be 2x + 10 = 5(x - 6). Then the value of the variable x will be 23.33.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
Translate then Solve for the variable:
The sum of two times a number and 10 is five times the difference between a number and six.
Let the number be x.
Then the equation will be
2x + 10 = 5(x - 6)
Then the value of x will be
2x + 10 = 5x - 60
5x - 2x = 60 + 10
3x = 70
x = 23.33
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can someone help please
Answer:
2 good scoops
Step-by-step explanation:
I got you I think
A board game uses a deck of cards that players draw from to move tokens around the board. The probability of selecting a card that moves a player's token forward is 32%. Over the course of a game, the deck is shuffled and reused as necessary. Approximately how many cards must be drawn from the deck before players' tokens move forward 50 times?
Using the binomial distribution, it is found that approximately 156 cards must be drawn from the deck before players' tokens move forward 50 times.
What is the binomial probability distribution?It is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.
The expected number of trials until q successes is:
[tex]E_s(X) = \frac{q}{p}[/tex]
In this problem, the parameters are given as follows:
q = 50, p = 0.32.
Hence:
[tex]E_s(X) = \frac{50}{0.32} = 156[/tex]
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The area of the cell phone dimensions to her computer screen dimensions is 1:3. What’s the length and width of the computer screen
Answer:
A=l*w
Step-by-step explanation:
so We Derive Their Formula
L=A/w
A) all values at which h has a local maximum
B ) all local maximum values of h
For the given function h(x), we have:
a) at x = -2 and x = 2.
b) y = 0 and y = 3.
How to identify the maximums of function h(x)?
First, we want to get the values of x at which we have maximums. To do that, we need to see the value in the horizontal axis at where we have maximums.
By looking at the horizontal axis, we can see that the maximums are at:
x = -2 and at x = 2.
Now we want to get the maximum values, to do that, we need to look at the values in the vertical axis.
The first maximum value is at y = 0 (the one for x = -2)The second maximum is at y = 3 (the one for x = 2).If you want to learn more about maximums:
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Given g(x)=^3√x+6, on what interval is the function negative?
A (-∞, -6)
B (-∞, 6)
C (-6, ∞)
D (6, ∞)
The interval which the function is negative is (-∞, -6)
How to determine the interval?The equation of the function is given as:
[tex]g(x) = \sqrt[3]{x + 6}[/tex]
When the function is negative.
It means that g(x) is less than 0
i.e. g(x) < 0
So, we have:
[tex]\sqrt[3]{x + 6} < 0[/tex]
Take the cube of both sides
x + 6 < 0
Subtract 6 from both sides
x < -6
The above represents a value from negative infinity to -6
i.e. (-∞, -6)
Hence, the interval which the function is negative is (-∞, -6)
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5 yrs ago, Nuri was thrice as old as Sonu. 10 yrs later, Nuri will be twice as old Sonu. How old are Nuri n Sonu?
Answer:
Answer will be 50
Step-by-step explanation:
Let us suppose, present age of Nuri be ‘x’ years and present age of Sonu be ‘y’ years.
Now, it is given that five years ago, Nuri was thrice old as Sonu. Hence,
Five years ago,
Nuri’s age = x-5 years
Sonu’s age = y-5 years
And relation between ages can be given as
Nuri’s age = 3×sonu’s age or
x-5 = 3(y-5)
x-5 = 3y-15
x-3y+10 = 0 ………..(i)
Another relation is given in the problem that ten years later, Nuri is twice as old as Sonu.
So, ten years ago,
Nuri’s Age = x+10
Sonu’s Age = y+10
And relation between ages can be written as
x+10 = 2(y+10)
x+10 = 2y+20
x-2y-10 = 0 …………..(ii)
Now we can solve the equation (i) and (ii) to get values of x and ‘y’ or present ages of Nuri and Sonu.
Value of ‘x’ from equation (i) be
x = 3y-10 ……….(iii)
Putting value of ‘x’ from equation (iii) in equation (ii) we get,
3y-10-2y-10 = 0
y = 20
Now, from equation (iii) value of ’x’ can be given as,
x= 3(20)-10
x = 50
Hence, the present ages of Nuri and Sonu are 50 years and 20 years respectively.
The product of three consecutive integers is 30 times the smallest of the three
integers. Find the two possible sets of integers that will satisfy this condition.
AnswEr :
Let's assume , three Consecutive integers be x , ( x +1 ) & ( x+2 ) , such that , x < ( x +1 ) < ( x +2 ) .
⠀⠀⠀⠀⠀⠀[tex]\underline {\boldsymbol{\star\: According \: to \: the \: Given \: Question \::}}\\[/tex]
⠀⠀⠀⠀⠀— The product of three consecutive integers is 30 times the smallest of the three integers.
[tex] \sf \dashrightarrow \:30\: \bigg\{ \: Smallest_{(\:integer\:)}\:\bigg\}\:\:=\: \:\bigg\{ \: I^{st} \:Integer\:\bigg\}\: \:\bigg\{\: II^{nd}\:Integer\:\bigg\}\: \:\bigg\{ \: III^{rd} \:Integer\:\bigg\}\:\:\: \\\\\sf \dashrightarrow \:30\: \bigg\{ \:x\:\bigg\}\:\:=\: \:\bigg\{ \: x\:\bigg\}\: \:\bigg\{ \: x + 1\:\bigg\}\: \:\bigg\{ \: x +2 \:\bigg\}\:\:\: \\\\ \sf \dashrightarrow \:30\: \:\:=\: \:\bigg\{ \: x + 1\:\bigg\}\: \:\bigg\{ \: x +2 \:\bigg\}\:\:\: \\\\ \sf \dashrightarrow \:30\: \:\:=\: \:x^2 + 3x + 2 \:\:\: \\\\ \sf \dashrightarrow \:x^2 + 3x - 28 \:= \:0\: \\\\ \sf \dashrightarrow \:\:\bigg\{ \: x - 2 \:\bigg\}\:\:\bigg\{ \: x + 7 \:\bigg\}\: \:= \:0\: \\\\ \pmb {\underline {\boxed {\purple {\:\frak{ \:x\:\:=\:-7\: \&\:2\:}}}}}\:\bigstar \: \\\\\\[/tex]
Therefore ,
When , x = 2 ,
First Integer : x , 2 ,Second Integer : ( x +1 ) , 3 & Third Integer : ( x +2 ) = 4 .When , x = –7 ,
First Integer : x , – 7 ,Second Integer : ( x +1 ) , – 6 & Third Integer : ( x +2 ) = – 5 .Answer:
Hi,
Step-by-step explanation:
If the "is" means is equal to
Let's say a-1, a, a+1 the 3 consecutive integers.
[tex](a-1)*a*(a+1)=30*(a-1)\\\\(a-1)*(a*(a+1)-30)=0\\\\(a-1)(a^2+a-30)=0\\\\(a-1)(a^2+6a-5a-30)=0\\\\(a-1)(a(a+6)-5(a+6))=0\\\\(a-1)(a+6)(a-5)=0\\\\a=1\ or\ a=-6\ or\ a=5\\[/tex]
[tex]\begin{array}{|c|c|c|c|c|}a&a-1&a+1&Prod&30*(a-1)\\---&----&----&----&--------\\1&0&2&0&30*0=0\\5&4&6&120&4*30=120\\-6&-7&-5&-210&30*(-6)=-180\end{array}\\[/tex]
The two sets are : (0,1,2) and (4,5,6).
Find the value of x.
55
X
44
X = [?]
Enter the number that belongs in
the green box.
Answer:
Step-by-step explanation:
x^2 + 44^2 = 55^2
x^2 + 1936 = 3025
3025-1936 = 1089
sqrt(1089) = 33
x = 33
Answer:
X=33
Step-by-step explanation:
this is a right traingle so you can use pythagorean theorem
A^2 +B^2 =C^2
A^2 +44^2= 55^2
A^2 + 1936= 3025 subtract 1936 from both sides
A^2= 1089 now square root both sides
A=33
93/100
Natalie needs 3 1/2 cups of flour to make 4 dozen cookies. How many.cups will she
need to make 2 dozen cookies?
7 cups
1 cup
13/4 cups
11/2 cups
Answer:
3/4 cups
Step-by-step explanation:
3 1/2 divided by 2
Which expression represents the perimeter of the triangle?
8x + 2
18x
8x
Answer:
8x
Step-by-step explanation:
(3x+1)+(3x-1), the 1's cross out, so it is 3x+3x=6x. 6x+2x=8x.
Answer:
8x
Step-by-step explanation:
got it right!!!
Which number is equivalent to 16 1/2
Answer:
8
Step-by-step explanation:
Correct to four significant figures (573.06*184.25)
105600
Step-by-step explanation:Significant figures are used in scientific fields to show precision.
Multiplication
When rounding to significant figures you need to first do the operation shown. So, before we round we need to multiply 573.06 * 184.25.
573.06 * 184.25 = 105586.305This is an important step whenever you are rounding to significant figures. If you preround, you will be left with the wrong answer.
Significant Figures
Now that we have the answer before rounding, we need to know how to determine significant figures. If there is a decimal point present, then start counting significant figures at the first non-zero digit from the left.
For example:
The number 539.760 has 6 significant figuresIf the decimal point is not present, then start counting significant figures from the first non-zero digit from the right.
For example:
The number 280020 has 5 significant figuresRounding
Finally, we can round our answer. Firstly, there are more than 4 digits before the decimal point. This means that our rounded answer will not have a decimal point, so when counting sig figs we will start from the right. Remember, even when rounding, a number should always have the same number of digits before the decimal point, even if they are not all significant.
Since we are rounding to 4 sig figs, we need to look at the 5th digit from the left, which is 8. This means we will round up.
So, write the first 4 digits of the number, but round the last one up. Then, write the remaining digits before the decimal point as 0.
105586.305 rounds to 105600Write the place value of the 1 in 742.513
Hi Student!
Looking at the problem statement, we are asked to find the place value of the 1 in the number 742.513. Let's go from right to left and name each of the place values. 7 is in the hundreds place, 4 is in the tens place, 2 is in the ones place, 5 is in the tenths place, 1 is in the hundredths place, 3 is in the thousandths place.
Therefore, our final answer for which place value the number 1 in 742.513 is, we come to the conclusion of the hundredths place.
Triangle MRN is created when an equilateral triangle is folded in half.
Triangle N R M is shown. Angle N R M is a right angle. An altitude is drawn from point R to point S on side M N to form a right angle. The length of N S is 6, the length of S M is 2, the length of R M is x, the length of N R is y, and the length of R S is z.
What is the value of y?
The value of y based on the values given ib the equilateral triangle will be 4.
How to illustrate the triangle?From the information given, MN is one of the sides of the equilateral triangle. Therefore, side MR will be:
= 1/2 × 8 = 4
In the above, it should be noted that MR was calculated since it's half of the value of MN which is 8.
Here, value of y based on the values given ib the equilateral triangle will be 4.
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Answer:
Step-by-step explanation:
4
I need help please
A family purchases a light sphere to be used out on their patio. The diameter of the sphere is 20 in.
What is the volume of the light sphere?
Use 3.14 for pi.
Enter your answer, as a decimal, and round only your final answer to the nearest hundredth.
I have seen two different answers with 5 stars so I am confused on which person solved it correctly
Answer:
4,186.67 in³
Step-by-step explanation:
V = (4/3)πr³
V = (4/3)(3.14)(10 in)³
V = (4/3)(3.14)(1,000 in³)
V = 4,186.666667 in³
The seventh-grade students at Charleston Middle School are choosing one girl and one boy for student council. Their choices for girls are Michaela (M), Candice (C), and Raven (R), and for boys, Neil (N), Barney (B), and Ted (T). The sample space for the combined selection is represented in the table. Complete the table and the sentence beneath it.
Boys
Neil Barney Ted
Girls Michaela N-M
T-M
Candice N-C
T-C
Raven N-R
T-R
The new sample size based on the information will be B-M, B-C, B-R, 8.
What is a sample size?Sample size is the number of participants or observations that are included in a study. This is usually represented by n.
When the boys and girls are to be chosen, the new sample size based on the information will be B-M, B-C, B-R, 8.
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Answer:
Step-by-step explanation:
B-M, B-C, B-R, 8.
Wiring used for a specific circuit needs a diameter of 17.64 mm.
a. What is the precision of this measurement?
b. What is the uncertainty?
c. What is the tolerance?
d. State the acceptable diameter in the format, nominal value uncertainty.
(a) The precision of this measurement is 17.64 mm ± 0.01 mm.
(b) he uncertainty of the measurement is 0.057%.
(c) The tolerance of the measurement is 0.02 mm.
(d) The acceptable diameter in the format, nominal value uncertainty is 17.64 mm ± 0.057%.
Measurement of a wireA micrometer screw gauge is used in the measurement of a wire. The measuring accuracy of a micrometer screw gauge is 0.01 mm.
The precision of the measurement is 17.64 ± 0.01 mm.
Uncertainty of the measurementThe uncertainty of the measurement is calculated as follows;
uncertainty = (error/actual measurement) x 100%
uncertainty = (0.01/17.64) x 100% = 0.057%
Tolerance of the measurementTolerance = maximum measurement - minimum measurement
= (17.64 + 0.01)mm - (17.64 - 0.01)mm
= 0.02 mm
Acceptable diameter0.057% of 17.64 mm = 0.01 mm
Range of uncertainty = (17.64 mm - 0.01 mm) to (17,64 mm + 0.01 mm)
= 17.63 mm to 17.65 mm
Acceptable diameter format, = 17.64 mm ± 0.057%
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The length of a rectangle is 3 inches more than the width. The area is 10 square inches. Find the dimensions
Answer:
Width = 2
Length = 5
Step-by-step explanation:
let A be the area of the rectangle
L be the length of the rectangle
w be the width of the rectangle
Formula: ‘area of a rectangle’
A = L × w
…………………………………………………
A = L × w
⇔ 10 = (w + 3) × w
⇔ 10 = w² + 3w
⇔ w² + 3w - 10 = 0
Solving the quadratic equation w² + 3w - 10 = 0 :
Δ = 3² - 4(1)(-10) = 9 - (-40) = 9 + 40 = 49
then √Δ = 7
[tex]\Longrightarrow w=\frac{-b+\sqrt{\Delta } }{2a} =\frac{-3+7}{2} =2[/tex]
[tex]or\ w=\frac{-b-\sqrt{\Delta } }{2a} =\frac{-3-7}{2} =-5[/tex]
-5 is not valid ,because w represents the width
which must be a positive number
Then w = 2
Conclusion:
Width = 2
Length = 2 + 3 = 5
Drag the tiles to the correct boxes to complete the pairs.
Match each radical equation with the corresponding value of x.
5√x^4=81
3√x^4= 625
3√x^5=32
4√x^3=64
The value of x for each radical equation is 243 , 125,8,256 respectively.
The correct question is attached as an image with the answer.
What is a Radical Equation ?
When in an equation the variable is under a radical it is called a Radical Equation.
It is given in the question that
which radical matches to the solution
[tex]\rm \sqrt[5]{x^4} = 81 \\\\\sqrt[3]{x^4} = 625\\\\\sqrt[3]{x^5} = 32\\\\ \sqrt[4]{x^3}=64[/tex]
[tex]\rm x^4 = 81^5\\x = 243[/tex]
[tex]\rm x^4 = 625^3\\x = 125\\[/tex]
[tex]x^5 = 32^3\\x = 8\\[/tex]
[tex]\rm x ^3 = 64^4\\x = 256[/tex]
Therefore for each radical the value of x is determined.
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