Step-by-step explanation:
if I understand correctly, then we have
h(x) = 2 × cubic root(x - 10) + 4
the x-intercept is the x value where y or h(x) = 0.
0 = 2 × cubic root(x - 10) + 4
0 = cubic root(x - 10) + 2
-2 = cubic root(x - 10)
-8 = x - 10
x = 2
The intercept is the point where a line or curve crosses the axis. The x-intercept of the function is (2,0)
Intercept of a functionThe intercept is the point where a line or curve crosses the axis. Given the function below:
h(x) = 2(∛x-10) + 4
For the x-intercept, it is the point where h(x) = 0.
Substitute
2(∛x-10) + 4 = 0
2(∛x-10) = -4
(∛x-10) = -2
Take the cube of both sides
x-10 = (-2)^3
x -10 = -8
x = -8 + 10
x = 2
Hence the x-intercept of the function is (2,0)
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A cylinder has volume 120 cm3.What is the volume of a cone with the same radius and height? ? 40 cm 60 cm O 240 cm 360 cm 3
The volume of a cone with the same radius and height as the cylinder is 40cm³.
What is the volume of the cone?
A cylinder is a three-dimensional object. It is a prism with a circular base.
Volume of a cylinder = nr^2h
n = 22/7r = radiusVolume of a cone = 1/3(nr^2h)
The volume of a cone, is 1/3 that of a cylinder.
Volume of the cone = 1/3 x 120 = 40
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Answer:cool
Step-by-step explanation:
iono
Find the area of the figure. Use 3.14 for π.
Total Area:- Area of square + area of Semicircle
Total area :- (L×B)+ (½× πr²)
Total area:- (12×12)+(½×π6²)
Total area:- 144+(½× 113)
Total area:- 144+ 56.5
Total area :- 200.5
PLS HELP ILL MARK AS BRAINLIEST PLSS
Answer:
10%
Step-by-step explanation:
I think it's right lol but I could be wrong I forgot a lot of this stuff
but out of all the data it goes from 22-42 so 20 points in total
there is only 2 of the data points behind 24, so it is 2/20 or 10%
Round 77.1110969489 to the nearest hundred-thousandth
please help i am confused.
The radius of a circle with area A is approximately √A/3. The area of a circular mouse pad is 51 square inches. Estimate its radius to the nearest integer.
Answer:
23 square meter from Nthabiseng Selina Tsolo
N is an integer and -2
Answer:
(2) n > 6 (3) -4, -3, -2, -1, 0, and 1.
Step-by-step explanation:
(2) to solve first we subtract 12n from both sides making it 3n > 18 then we divide 3...making it n>6 (remember if you're solving an inequality its not unlike solving an equation)
(3) For this let's separate it into -2<n+3 which solving gets us n > -5
Steps: we subtract 3 from both sides again which makes it -5 < n but usually the variable should go to the left of an equality so n> -5
The other part is n+3 is less than equal to 4. which equals n is less than equal to 1 (I think you get how to solve now :)
once we combine both of the inequalities you'll get -5<n less than equal to 1. Which means the possible values are -4, -3, -2, -1, 0, and 1.
(a). The solution is [tex]n > 6[/tex]
(b). The all possible values of n are [tex]-4,-3,-2,-1,0,1[/tex]
Inequality:(a). The given inequality is;
[tex]15n > 12n+18[/tex]
Now we have to solve inequality,
[tex]15n > 12n+18\\\\15n-12n > 18\\\\3n > 18\\\\n > 18/3\\\\n > 6[/tex]
(b). Inequality is [tex]-2 < n+3\leq 4[/tex]
Now we have to solve inequality,
[tex]-2 < n+3\leq 4\\\\-2-3 < n\leq 4-3\\\\-5 < n\leq 1[/tex]
So that, the all possible values of n are [tex]-4,-3,-2,-1,0,1[/tex]
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Benito made a small pitcher of fruit punch. He mixed together lemonade and cherry juice. Use the picture to find the amount of juice Benito made. A 9 liters В 100 milliliters C 900 milliliters D2 liters 900 milliliters
The amount of juice by Benito is an illustration of volumes
The amount of juice made is 900 milliliters
How to determine the amount of juice made?The question is incomplete, as the figure and the dimensions are not given.
So, I will give a general solution
Assume the following parameters
Shape of the punch = CylinderRadius = 4Height = 18The amount of juice would be:
V = πr^2h
This gives
V = 3.14 * 4^2 * 18
Evaluate
V = 904.32
Approximate
V = 900
Hence, the amount of juice made is 900 milliliters
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Which student solved the equation 107 d = 1,733.4 correctly?
Gianna's work: 107 d = 1,733.4. 1,733.4 times 107 = 185,473.8.
Teddy's work: 107 d = 1,733.4. 1,733.4 minus 107 = 1,626.4.
Sid's work: 107 d = 1,733.4. 1,733.4 + 107 = 1,880.4.
Sammi's work: 107 d = 1,733.4. 1,733.4 divided by 107 = 16.2.
Answer:
Sammis work is correct
Step-by-step explanation:
when handling equations such as 107d= 1,733.4
you see that d is being multiplied to 107 to equal the total,
so to find the answer to d you would divide 107 by the total to get your value of d
Answer:the last one
Step-by-step explanation:
Toni typed 600 words in 1hour, 250 words in 20 minutes and 480 words in 40minutes. How many words did Toni typed in 2 hours?
a 1 113 words
b 3 113 words
c 1 330 words
d 1 130 words
1hour=600
2hour=600+600
=1200words
Due on Monday.
Show step by step
[tex]7n^{2} -7[/tex]
Answer: 7(n + 1)(n - 1)
Step-by-step explanation:
[tex]7n^2-7[/tex]
[tex]\mathrm{Rewrite\:}7\mathrm{\:as\:}7\cdot \:1[/tex]
[tex]=7n^2-7\cdot \:1[/tex]
[tex]$$ Factor out the common term 7[/tex]
[tex]=7\left(n^2-1\right)[/tex]
[tex]$$ Factor $n^2 - 1[/tex]
[tex]\mathrm{Rewrite\:}1\mathrm{\:as\:}1^2[/tex]
[tex]=n^2-1^2[/tex]
[tex]$$ Apply difference of two squares formula $ x^2 - y^2 = (x+y)(x-y)[/tex]
[tex]n^2-1^2=\left(n+1\right)\left(n-1\right)[/tex]
[tex]\therefore \bf{7\left(n+1\right)\left(n-1\right)}[/tex]
Based on data from two very large independent samples, two students tested a hypothesis about equality of population means using α = 0. 2. One student used a one-tail test and rejected the null hypothesis, but the other used a two-tail test and failed to reject the null. Which of these might have been their calculated value of t?
Based on the calculations, the most likely value of t is equal to 2.2.
Given the following data:
[tex]\alpha =0.2[/tex]What is a null hypothesis?A null hypothesis ([tex]H_0[/tex]) can be defined the opposite of an alternate hypothesis ([tex]H_a[/tex]) and it asserts that two (2) possibilities are the same.
For the one-tail test, we would reject the null hypothesis ([tex]H_0[/tex]) when the p-value is lesser than the value of [tex]\alpha[/tex];
[tex]H_o: P(Z > |\delta|) < 0.02[/tex]
For the two-tail test, we would fail to reject the null hypothesis ([tex]H_0[/tex]) when the p-value is greater than the value of [tex]\alpha[/tex];
[tex]H_o: 2P(Z > |z|) > 0.02\\\\H_o: P(Z > |z|) > 0.01[/tex]
Next, we would determine the positive value of z-score that satisfies this expression;
[tex]0.01 < P(Z < z) < 0.02\\\\[/tex]
From the z-table, we have:
[tex]P(Z > 2.326)\;and\; P(Z > 2.054)\\\\2.054 < z < 2.326[/tex]
Therefore, t = 2.2.
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Which algebraic expressions are binomials? Check all that apply.
xyStartRoot 8 EndRoot
x2y – 3x
6y2 – y
y2 + StartRoot y EndRoot
4xy – two-fifths
x2 + StartFraction 3 Over x EndFraction
The algebraic expressions out of the given options that are binomials is given by: Option B: x^2y - 3x and Option D: 4xy - 2/5
What are polynomials?Polynomials are algebraic expressions having only addition, subtraction, multiplication and exponentiation (non-negative) of variables involved in it.
What are terms in polynomials?Terms are added or subtracted to make a polynomial. They're composed of variables and constants all in multiplication.
Example:
[tex]x^3 + 3x +5[/tex]
is a polynomial consisting 3 terms as
[tex]x^3[/tex], 3x and 5
If there is one term, the polynomial will be called monomial.If there are two terms, the polynomial will be called binomialIf there are three terms, the polynomial will be called trinomialChecking all the options:
Option 1: [tex]xy\sqrt{8}[/tex]It has only one term, so its not a binomial.
Option 2: [tex]x^2y - 3x[/tex]It has two terms, and there is only integer powers of variables and variables are in multiplication in forming terms, so its a polynomial. And because of two terms and being polynomial, it is binomial.
Option 3: [tex]y^2 + \sqrt{y}[/tex]Because of square root over variable 'y', the variable 'y' got non-integer power 1/2 as square root is also written as exponentiation by 1/2.
Thus, its not a polynomial.
Option 4: [tex]4xy - 2/5\\[/tex]Its a polynomial as there are constants only and variables with multiplication. And because of two terms and being polynomial, it is binomial.
Option 5: [tex]x^2 + \dfrac{3}{x}[/tex]we can write the second term as:
[tex]\dfrac{3}{x} = 3x^{-1}[/tex]
Thus, the variable x has negative power. Thus, its not a polynomial. Or simply, since the variable is in division in simplified form, therefore, its not a polynomial.
Thus, the algebraic expressions out of the given options that are binomials is given by: Option B: x^2y - 3x and Option D: 4xy - 2/5
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HELP!!!!!HELPPPPPPPPP!
Answer: answer C.
Step-by-step explanation: you have to add and divide
Ben has agreed to play fewer video games and spend more time studying. He has agreed to play less than 10 hours of video games each week. On Monday through Thursday, he plays video games for a total of 5 1/2 hours. For the remaining 3 days, he plays video games for the same amount of time each day. Find t, the amount of time he plays video games, for each of the 3 days.
Answer:
t < 1.5
Step-by-step explanation:
Mon-Thu: 5.5 hours
each of the remaining 3 days: t hours each day
total time: 3t + 5.5
The total time must be less than 10 hours.
3t + 5.5 < 10
3t < 4.5
t < 1.5
If the coefficient of determination is 0. 12 and ssy = 225, then what is the sum of squares regression for an analysis of regression?
The coefficient of determination is the ratio of the sum of squares regression and the ssy
The sum of squares regression is 27
How to determine the sum of squares?The given parameters are:
Coefficient of determination, R^2 = 0.12
SSy = 225
The coefficient of determination is calculated as:
R^2 = SSR/SSY
So, we have:
0.12 = SSR/225
Make SSR the subject
SSR = 0.12 * 225
Evaluate the product
SSR = 27
Hece, the sum of squares regression is 27
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The sum of squares regression is 27
What is the coefficient of determination?The coefficient of determination or R squared method is the proportion of the variance in the dependent variable that is predicted from the independent variable.
The coefficient of determination is calculated by using the following formula;
[tex]\rm R^2 = \dfrac{SSR}{SSY}\\\\ 0.12= \dfrac{SSR}{225}\\\\ SSR = 225 \times 0.12 \\\\ SSR = 27[/tex]
Hence, the sum of squares regression is 27.
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expand and simplify (x+3)(x+5)
Answer:
(x+3)(x+5)
x( x + 5) +3 ( x + 5)
x² + 5x + 3x + 15
x² + 8x + 15
per
Write your answer as a fraction or as a whole or mixed num
1
6
km
13
1
km
1
13
6
km
13
6
1 18 km
13
Answer:
5 11/13km
Step-by-step explanation:
4 ( 1 6/13)
4× 19/13
= 5 11/13
AB - CD + 2D x A x (AC - BD
also i know it says im old but im in middle school
b=4 a=3 c=6 d=2
How many 1/ 4 cup servings are in a package of cheese that contains 6 and 1/2 cups altogether?
in essence, how many times does 1/4 go into 6 and 1/2?
[tex]\stackrel{mixed}{6\frac{1}{2}}\implies \cfrac{6\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{13}{2}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{13}{2}\div \cfrac{1}{4}\implies \cfrac{13}{2}\cdot \cfrac{4}{1}\implies \cfrac{13}{1}\cdot \implies \cfrac{4}{2}\cdot 13\cdot 2\implies 26[/tex]
Solve each system by substitution. Show all work.
y = -3x
y= x-4
since y = - 3x and y = x - 4
we have
- 3x = x - 4
4x = 4
x = 1
and then y = - 3 * 1 = - 3
(1 ; - 3)
Answer:
(1,-3)
Step-by-step explanation:
y = -3x
y= x-4
Substitute -3x for y in the second equation
-3x = x-4
Subtract x from each side
-3x-x = x-4-x
-4x = -4
Divide each side by -4
-4x/-4 = -4/-4
x=1
Now we can find y
y = x-4
y = 1-4
y= -3
(1,-3)
i dont understand this question im very bad at maths
2400cm³
Step-by-step explanation:[tex]Volume=15\times 20\times 8[/tex][tex]=300\times 8\\ =2400cm^3[/tex]
[tex](Analyze\ the\ information\ carefully)[/tex]
I hope this helps you
:)
In Art Museum has 1042 pictures to split equally into 35 different exhibits. How many more pictures does the museum need to make sure each Exhibit
Has the same amount
Answer:
8 more pieces
Step-by-step explanation:
First, divide 1042 by 35 to get 29 and 27/35. Since each exhibit needs 35 pieces, and since 35- 27 is 8, the museum needs 8 more pieces.
Hopefully this helps- let me know if you have any questions!
A straw is placed inside a rectangular box that is 3 inches by 6 inches by 8 inches, as shown. If the straw fits exactly into the box diagonally from the bottom left corner to the top right back corner, how long is the straw? Leave your answer in simplest radical form.
The straw is placed diagonally in the rectangular prism, therefore, the length of the straw is √109 inches
How to find the diagonal of a rectangular prism?
Diagonal of a rectangular prism = √(l² + w² + h²)
Where,
l = lengthw = widthh = heightTherefore,
l = 6 inches
w = 3 inches
h = 8 inches
diagonal = √(6² + 3² + 8²)
diagonal = √36 + 9 + 64
diagonal = √109 inches
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Please help me with this please and thank you
Answer:
B
Step-by-step explanation:
the common ratio r of a geometric sequence is calculated as
r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{12}{3}[/tex] = 4
Answer:
B 4
Step-by-step explanation:
Divide any number (other than the first one) in the sequence by the previous number.
12/3 = 4
48/12 = 4
Answer: B 4
six hundred kilograms of tea were packed in 500 g packets. how many packets of tea were there?
Answer:
1200
Step-by-step explanation:
600 in grams = 600 x 1000
= 6 x 10^5
(6 x 10^5) / 500 = 1200.
Answer:
1200 packets
Step-by-step explanation:
1 kg = 1000 gram
600 kg = 1000 × 600 = 600,000
now,
packets of tea were ( 600000 ÷ 1000) = 1200 packets
At a height of 316 meters, the Bell Tower is the tallest building in Morgansville. Hank is creating a scale model of this building using
the scale 100 meters: 1 meter.
To the nearest tenth of a meter, what will be the height of the scale model?
Answer:
Scale: 100 meters per 1 meter
Actual: 316 per unknown meters(our scale)
So order our units:-
Scale 1 x_______ _______ = _______, solve for x;
Meters 100 3161/100 = x/316
*316 *316
3.16 = x, 3.16 rounded = 3.20 is the scale.
Find the product of 3 1/5 and 5/8.
Express your answer in simplest form.
answer:ok
there are 3 and one fith apples
he need 4
apples
he adds 5/8
apples to his basket
how many apples doess he end up with
Step-by-step explanation:you add them together
What strategy would be the best to solve this problem?
To get into shape, Miles ran for 1 minute on Monday, 3 minutes on Tuesday, 6 minutes on Wednesday, and 10 minutes on Thursday. If he continues, how many minutes will Miles run on Sunday?
A. guess, check and revise
B. work backwards
C. use a formula
D. look for patterns
Answer:
D. look for patternsStep-by-step explanation:
Number the weekdays, and relevant time, then look for the pattern
Monday = 1, time = 1 minTuesday = 2, time = 3 minWednesday = 3, time = 6 minThursday = 4, time = 10 minFriday = 5, time = xSaturday = 6, time = ySunday = 7, time = zWe get the series:
1, 3, 6, 10, x, y, zIf you notice, the difference between the terms is:
2, 3, 4, ...It indicates the following terms are:
x = 10 + 5 = 15y = 15 + 6 = 21z = 21 + 7 = 28Since z represents the seventh term, the running time on Sunday is 28 minutes.
As we see looking for patterns helped to solve the question.
Correct choice is D
Answer:
D
Step-by-step explanation:
Because its D
three of the angles of a quadrilateral are 100, 104 and 44. what is the size of the 4th angle?
Answer:
112
Step-by-step explanation:
Sum of interior angles in quadrilaterial = 360
360 - 100 - 104 - 44 = 112
Step-by-step explanation:
Let the 4th angle = x
Now,
x + 100 + 104 + 44 = 360° ( the sum of interior angle of quadrilateral is 360°)
x + 248 = 360°
x = 360° - 248
x = 112
Hence, the fourth angle is 112....