Answer:
x < -6
Step-by-step explanation:
-2x - 4 > 8
the first step is to add 4 to both sides since we need to get x alone on one side
-2x - 4 > 8
+4 +4
so we are left with -2x > 12
we still need to get x alone so we have to divide -2 from both sides
always remember that if you divide by a negative number the inequality flips!! so instead of > it will be <.
-2x/-2 = x
12/-2 = -6
so the answer is x < -6
elect all the correct answers.
A group of scientists is conducting an experiment on the effects of media on children. They randomly select 100 children and randomly assign each child to one of four treatment groups. Each treatment group has a specific amount of screen time during a one-week time frame. The first group has no screen time, the second group has two hours of screen time, the third group has four hours of screen time, and the fourth group has six hours of screen time.
After the first week, the scientists conduct the same experiment, with the same subject groups, for three more weeks so that each group experiences each of the four treatments.
Which statements about this study are true?
This study uses blinding.
This study uses blocking.
This study uses a control group.
This study uses a repeated measures design.
This study uses random sampling.
this study uses random sampling
this study uses a control group
this study uses a repeated measures design
plato/edmentum
Answer:
This study uses a control group. This study uses a repeated measures design.
Given that X varies directly as Y³ and X = 54, Y = 3. find X 10 Y = 5 what is the relationship between X and Y?
Answer:
x=6y3
Step-by-step explanation:
we first find the constant of proportionality where by we say; x= ky3
we're given x = 54
and y = 3
so
54=k(3cubed)
therefore
54= 9k
divide be 9 both sides to get k which is the constant
k=6
now rewrite the equation replacing k with 6
it will be...
X=6Y3
A shipment contains 10 igneous, 8 sedimentary, and 8 metamorphic rocks If 8 rocks are selected at random, find the probability that exactly 6 are sedimentary
The probability that exactly 6 of the rocks are sedimentary is
(Round to four decimal places as needed.)
The probability that exactly 6 are sedimentary is 0.00002
Probability is the likelihood or chance that an event will occur.Given the total amount of rocks = 10 + 8 + 8 = 26 rocksIf there is a total of 8 sedimentary rocks, the total outcome will be expressed as:
26C8 = 26!/(26-8)!8!
26C8 = 1562275
If exactly 6 are sedimentary are selected out of 8 sedimentary rocks, then the expected outcome is ;
8C6 = 8!/(8-6)!6!
8C6 = 28
Pr(exactly 6 are sedimentary ) = 28/1562275
Pr(exactly 6 are sedimentary ) = 0.000017922
Hence the probability that exactly 6 are sedimentary is 0.00002
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Multiplications that give 48 as a result
Answer:
1 ×48=48
2×24=48
3×16=48
4×12=48
6×8= 48
Which equation represents the statement: Three times the sum of a number and 5 is –30?
3n + 5 = -30
3(n+5) = -30
n + 15 = -30
(n + 5) ÷ 3 = -30
Answer:
3(n+5)=-30
Step-by-step explanation:
Three times the sum of a number and 5 is - 30
Vocabulary:
times = multiplication, represented with *
sum = addition, represented by +
unknown number = n
Three * the sum of a number and 5
The sum of a number and 5 is the same as saying n + 5
So we are multiplying 3 by n + 5
Because n is an unknown variable we have to separate the sum of n and 5 from being multiplied by 3 with parenthesis. We do this because if we want to multiply 3 by the sum of n and 5. If we put 3 * n + 5 we are only multiplying the unknown variable by 3 not including the 5 that is added to it.
So we get 3( n + 5 ) is -30
3(n+5)=-30 is the answer.
Answer:
[tex]3(n+5)=-30[/tex]
Step-by-step explanation:
1. Divide the problem into pieces. The sum of a number and five can be written as [tex]n+5[/tex], where n is any number.
2. Since the question tells us that this sum is multiplied by 3, we expand the expression to [tex]3(n+5)[/tex].
3. Finally, the question tells us that this expression is equal to -30. This means we can express the entire statement as the equation [tex]3(n+5)=-30[/tex].
simplify by expressing with radicals n√x^3^n
We can work with the exponents to simplify our expression, and we will get:
[tex]\sqrt[n]{x^{3n}} = x^3[/tex]
How to simplify the expression?Remember that a root of degree n is equivalent to an exponent of 1/n.
This means that we can rewrite a root of degree n as:
[tex]\sqrt[n]{x} = x^{1/n}[/tex]
Then our expression:
[tex]\sqrt[n]{x^{3n}}[/tex]
Can be rewritten as follows.
[tex]\sqrt[n]{x^{3n}} = (x^{3n}})^{1/n}[/tex]
Now we have the exponent of an exponent, that means that we just need to take the product between the two exponents.
Now we can take the product of the exponents to get.
[tex]\sqrt[n]{x^{3n}} = (x^{3n}})^{1/n} = x^{3n*1/n} = x^3[/tex]
You can see that in the third step the exponents n and 1/n cancell eachother, so we end only with the exponent 3.
That is the expression simplified.
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5. Aaron sold 126 boxes of cookies. This is 14 more than twice the
number of boxes his sister, Victoria, sold. How many boxes of
cookies did Victoria sell?
Answer:
112
Step-by-step explanation:
Aaron = y
Victoria = x
y = 14 +x
126 = 14 + x
x = 112
Victoria sold 112 boxes of cookies
What is slope I need help finding the slope please help me
The slope is 3 this is intergers solution the right side is positive and left side is negative
Alyssa is baking a cake the recipe calls for 8 cups of flour she already put in 2 cups how many more cups does she need to add
Will the answer to the subtraction problem below be odd or even?
5291 - 4070 = ?
Answer:
1221
Step-by-step explanation:
here you go ...........
A company makes 110 bags. 30 of the bags have buttons but no zips. 23 of the bags have zips but no buttons. 23 of the bags have neither zips nor buttons. How many bags have zips on them?
Well, 30+23+23 = 76 which means there are only a total of 76 bags that are accounted for. 110-76 = 34 bags which we do not know if they have zips or not. If we assume they have zips, that would be 34+23 bags with zips which is 57 bags.
What would the answer be
Answer:
B.
Step-by-step explanation:
process of elimination. the red dot is not a 1/4 of the number of lines, so it cant be 12.25, 13.625 is impossible because it has a value less than 13, and 12.625 is impossible as well because it has a value less than 12.5 therefore 12.375 is the best answer, and the only correct answer
jelp pls with 2 work pps brainly
Answer:
The underline one is 40.
Missing numbers. 35, 40 45, 50, 55, 60, 65, 70.
Step-by-step explanation:
Add 5 rule
Answer:
5. The tens place.
6. 35, 40, 45, 50, 55, 60, 65.... (And so on)
Step-by-step explanation:
Hoped this helped.
. To do the ham số y = 3x - 3
Step-by-step explanation:
subject arts and architecture what primary
A room is 15 feet long and 12 feet wide. A scale drawing of the room is 10 inches by 8 inches. What is the scale of inches in the drawing to inches in the actual room?
Enter the correct answer in the box.
Answer:
The scale is 1:18 for the entire room, 1 inch in the diagram for 18 inches IRL
Step-by-step explanation:
12 inches = 1 foot
Convert the feet to inches, then divide both sides of the ratio by the # of inches in the diagram
So for length:
10:(15*12)
10:180
1:18
And for width:
8:12(12)
8:144
1:18
Answer:
18 inches
Step-by-step explanation:
The question asks for scale of inches in the drawing and the actual room, so first convert 15 ft and 12 ft into inches.
1 foot= 12in x 1ft= 12 inches
15 feet= 12in x 15ft = 180 inches
12 feet= 12in x 12ft = 144 inches
The room is 180 inches long and 144 inches wide.
To find the scale, set up a proportion to the drawing to the room.
[tex]\frac{10}{8} =\frac{180}{144}[/tex]
You can see that the scale is 18 inches because to get from 180 to 10, you multiply by 18, and the same thing as 8, you would multiply 8 by 18 to get to 144.
What is the slope of the line that has a y-intercept of (0, 6) and passes through the point (2, 8)?
m= ?
Answer:
m=1
Step-by-step explanation:
[tex]m=\frac{8-6}{2-0} =\frac{2}{2} =1[/tex]
I hope this help you
given: AC is parallel to DF, m<1 = m<4
prove: AE is parallel to BF
plz help:(
Answer:
..
Step-by-step explanation:
Gomenosai
Eve is going to buy 70 pens from either shop A or shop B.
Shop A : pack of 10 pens for £ 2.30
Shop B : pack of 5 for £ 1.60 buy 1 pack and get 1 half price .
What is the difference in cost for all 70 pens between the two shops ?
Answer: 0.70
Step-by-step explanation: Shop A: 2.20*7=15.40
Shop B: 7 packs with full price and seven with half
So, 1.40*7=9.80 and 9.80/2=4.90 is price of other seven
Take sum 9.80+4.90=14.70
So the difference between the two shops is
15.40-14.70=0.70 hope i helped have a good afternoon
The scatter plot shows the relationship between the average number of nightly customers and the number of mouths since a restaurant opened. The equation represents the linear model for this date
y = 5x + 120
what does the number 5 in the equation mean in this context?
A: There were 5 customers per night when the restaurant opened
B: The average number of costumers per night increased by 5 each month
C: The average number of customers per night decreased by 5 each month
D: The restaurant has been open for 5 months
Given that f(x) is a cubic function with zeros at -3, 0, and 7, find an equation for f(x) given that f(-8) = -5.
Answer:
[tex]\huge\boxed{f(x)=\dfrac{1}{120}x^3-\dfrac{1}{30}x^2-\dfrac{7}{40}x}[/tex]
Step-by-step explanation:
[tex]f(x)=a(x+3)(x-0)(x-7)=ax(x+3)(x-7)\\\\=ax\bigg((x)(x)+(x)(-7)+(3)(x)+(3)(-7)\bigg)\\\\=ax(x^2-7x+3x-21)=ax(x^2-4x-21)\\\\=(ax)(x^2)+(ax)(-4x)+(ax)(-21)\\\\=ax^3-4ax^2-21ax\qquad(*)\\\\f(-8)=-5[/tex]
[tex]\text{substitute}\ x=-8\\\\f(-8)=(a)(-8)^3-(4a)(-8)^2-(21)(-8)a=-512a-(4a)(64)+168a\\\\=-512a-256a+168a=-600a\\\\f(-8)=-5\\\\\text{therefore}\\\\-600a=-5\qquad|\text{divide both sides by (-600)}\\\\a=\dfrac{-5}{-600}\\\\a=\dfrac{1}{120}[/tex]
[tex]\text{Substitute to}\ (*):\\\\f(x)=\dfrac{1}{120}x^3-4\cdot\dfrac{1}{120}x^2-21\cdot\dfrac{1}{120}x=\dfrac{1}{120}x^3-\dfrac{1}{30}x^2-\dfrac{7}{40}x[/tex]
In what time will $1000 amount to $1331 at 10% per annum, compounded annually?
3 Years
Step-by-step explanation:Compound interest is a multiplier that affects the new value each time.
If the compound interest is 10% per annum, the multiplier each year is 1.1.
Year 1: $1000 * 1.1 = $1100
Year 2: $1100* 1.1 = $1210
Year 3: $1210* 1.1 = $1331
This means that it will take 3 years for $1000 to amount to $1331 at 10% per annum.
Alternatively, you can use a logarithm. The calculation can be written as:
1000 * [tex]1.1^n[/tex] = 1331, where n is the number of years.
Rearranged, this gives [tex]1.1^n[/tex] = 1331/1000 or [tex]1.1^n[/tex] = 1.331.
A logarithm can work out the value of n, and is written in the form log1.1(1.331), which gives a value of 3.
please help me
what is
28a+84b+92c=
According to this diagram, what is sin 23°?
67°
13
5
Сл
23°
90°
12
O A.
13
5
12
O B.
B. 13
12
13
O c.
c.13
O D.
D.
5
13
O E.
13
12
5
OF.
Using relations in a right triangle, it is found that the sine of 23 degrees is given by:
D. 5/13.
What are the relations in a right triangle?The relations in a right triangle are given as follows:
The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.Looking at the graph, the side opposite to the angle of 23º is of 5, while the hypotenuse is of 13, hence the sine is given by:
sin(23º) = 5/13.
Which means that option D is correct.
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Factor this completely thank you
4(2x raise to power 2-4-7x)
Hey help please math I need help good luck I’ll I’ve point
Answer:
180 degrees
Step-by-step explanation:
180 degrees would flip the triangle halfway through a full circle. B is A upside down rotated halfway through a full circle.
answer this question fast
Answer:
corona virus sjuwiwiwoe
Step-by-step explanation:
iaisowowow
Which of the following is NOT true about the expression?
-5x3 + 12x2 - 9x - 8
It has a leading term of 5
O The leading coefficient is 5,
The constant term is 8.
ch
O There are no negative coefficients
The statements which is not true about the expression given is; It has a leading term of 5.
According to the question;
The expression given is; -5x3 + 12x2 - 9x - 8.Since it is an expression; all other statements can be assumed true except; It has a leading term of 5; in which case the leading term is; -5x³
As such, the statements which are not true is;
It has a leading term of 5Read more:
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What is the equation (y=mx+b) for the points (3,-1) and (4,7) PLZ SHOW HOW YOU GOT THE Y-INTERCEPT
Answer:
[tex]y=8x-25[/tex]
Step-by-step explanation:
The first thing to do is to find the slope. The slope is the difference in Y divided by the difference in x, or:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Here (3, -1) is going to be (x1, y1) and (4, 7) will be (x2, y2):
[tex]m=\frac{7--1}{4-3}=\frac{8}{1}=8[/tex]
The slope is 8. Now, you can plug that into the formula. To find the y-intercept, plug in any point on the line and solve for b:
[tex]y=mx+b\\-1=8(3)+b\\-1=24+b\\b=-25[/tex]
Now we have both the slope and the y-intercept so you can write the equation for the line:
[tex]y=8x-25[/tex]
You can test that either by checking y for some value of x, or by graphing.
A jet is flying in a direction N 70° E with a speed of 600 mi/h. Find the north and east components of the velocity. Round to two decimal places.
Using vector concepts, it is found that the components of the velocity are given as follows:
North: 205.21 mi/h.East: 563.82 mi/h.How can a vector be represented in i and j notation?Given a magnitude M and angle [tex]\theta[/tex], the a vector V can be represented as follows:
[tex]V = M\sin{\theta}i + M\cos{\theta}j[/tex]
In which:
i is the horizontal(east/west) component.j is the vertical(north/south) component.In this problem, we have that the magnitude and the angle are given as follows:
[tex]M = 600, \theta = 70^{\circ}[/tex]
Hence the north component is:
[tex]600\cos{70^{\circ}} = 205.21[/tex]
And the east component is:
[tex]600\sin{70^{\circ}} = 563.82[/tex]
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Write a polynomial function with given zeros √8, √10
Answer:
y = x^2 - (sqrt(8) + sqrt(10))x + sqrt(80)
Step-by-step explanation:
we do y = (x- sqrt8)(x -sqrt10) and simplify