Answers
Answer:
Answers are in bold (in order)
Step-by-step explanation:
For the table, the question is asking us to take our x value and put it into the equation. for example:
y = 8x +1 . if x = 0, we can write this as this
y = 8(0) + 1 -> (the brackets mean times)
8 x0 = 0. 0+1 = 1.
if we follow this rule, the values are: 1, 9, 17, 25, 33.
For the function machine, if x = 1, then we can write 1 where the x is. The function machine is telling us that 1 x3 and then -2 = y, y being a random number we don't know. 1 x 3 = 3. That means 3-2 = y . 3-2 = y. So, y = 1 when x = 1.
When x =-9 we can rewrite x as -9. That means that -9 x 3, then -2 = y.
-9 x 3 = -27.
That means that -27 -2 = y
-27 -2 = -29, so when x = -9, y = -29.
For the third part we need to work out the gradient and the equation of the table. The gradient (how much our values go up by) The gradient can be worked out by diving the change in y (our y value) by the change in x (our x value). So, if we take the first two y values, we have -2 and 8. The difference/chance between these two is 10. (-2+10=8). And for the x values, the first two x values are 0 and 1. The difference/change between these two is 1. (1-0=1.) So, all we need to do is divide these values 10/1 = 10. So our gradient is 10. That means that the first box on the function machine will be “x10” to work out the second, we simply do the first box and go from there. If our x = 1, then 1 x 10 = 10. Our table says that when x = 1, y = 8. So to we need to work out the change between these is, to get our answer. To get from 10 to 8, we minus two. So the final box on the function machine must be “-2”
For the last part of the question, we are just substituting in the values of x.
If t = 1, then 4(t-3) is basically 4(1-3)
1-3 = -2. 4(-2) = -8.
so when t =1, s = -8. If you do this for the next two questions, you should get the answers:
s = -28 when t = -4
s = -12 when t = 0
Related Questions
WILL GIVE BRANLIEST
Which number is irrational? Question 2 options:
A fraction
A terminating decimal
The square root of an imperfect square
Zero
Answers
Answer:
The square root of an imperfect square
Step-by-step explanation:
If the radius of the planet is given by R, and the height above the surface is given by h, use the figure below, and the Pythagorean Theorem to derive the formula for the distance, d, to the horizon tangent point, assuming that the triangle is a right triangle.
Please answer the second one too
Answers
Applying the pythagroean theorem, the formula to find the horizontal distance, d, is: [tex]\mathbf{d = \sqrt{h^2 - R^2} }[/tex]
What is the Pythagorean Theorem?The pyhagroean theorem is given as, c² = a² + b², where h is the longest side of the right triangle.
Given the following:
c = ha = db = RThe formula derived would be:
h² = d² + R²
Make d the subject fo the formula
[tex]\mathbf{d = \sqrt{h^2 - R^2} }[/tex]
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Paula bicycled for 20 minutes and covered 5 miles. What is her speed in miles per hour?
Answers
T.True F.False While on your Limited Learner Permit (Level 1), you are required to keep a Driving Log and record a minimum of 60 hours of driving time.
Answers
It is true that you are required to keep a Driving Log and record a minimum of 60 hours of driving time, while on level 1
How to determine the truth value?There are 5 requirements a driver must fulfil before progressing to level 2 of learner permit.
One of these requirements is that the driver must spend at least 60 hours driving.
This means that the minimum driving time is 60 hours
Hence, the statement is true
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Which of the following are factors of 6x^2+30x-36? Select all that apply.
Answer choices:
1. X-1
2. X+2
3. 2
4. 3
5. X+6
6. X-6
7. X-2
Answers
Answer:
Step-by-step explanation:
find a three-digit number, which is 5 times greater than the product of its digits
Answers
Answer:
175
Step-by-step explanation:
How would one find a three-digit number which is 5 times as large as the product of its digits?
100a + 10b +c = 5abc
This shows that c must be a multiple of 5. Since it is a digit, c=5 ( c=0 does not work ).
Then:
100a + 10b + 5 = 25ab
This again shows that 10b+5 is a multiple of 25.
By testing all the digits, b=2 or b=7.
If b=2, then
100a + 25 = 50a
which has the solution a= -1/2, not a digit.
if b=7
100a +75 = 175a
Now the solution is a=1, so finally the number is 175. Indeed, 175 = 5*1*7*5.
Does that answer your question..?
Let R be the region enclosed by f(x) = x² + 4, g(x) = (x - 5)² and the axes x = 0 and y = 0. Compute the volume V
obtained by rotating R about the x-axis.
Hint: Express V as a sum of two integrals.
Answers
Answer:
v=0g
That's what i got
good luck
What is the center and radius of the circle described by the equation (x + 4)² + (y - 6)² = 25?
A. (4, -6); r = 25
B. (4, -6); r = 5
C. (-4, 6); r = 25
D. (-4, 6); r = 5
Answers
Answer:
A.
Step-by-step explanation:
Yo I need to bring up my math grade bad so
simplify combining like terms
-11+2(4x-1)+6
(show step by step0
Answers
-11+2(4x-1)+6
-11+8x-2+6
-13+8x+6
-7+8x
How would you solve 3 little 6 divided by 3 little -2
Answers
Answer:
[tex]3^{6-(-2)}[/tex]
Step-by-step explanation:
[tex]~~3^6 \div 3^{-2}\\\\\\=\dfrac{3^6}{3^{-2}}\\\\\\=3^{6-(-2)}[/tex]
dimentions 1m by 0.6m by 0.3m. density 2.7g/cm3 what is the mass
Answers
Answer:
486kg
Step-by-step explanation:
.
Find the equation of the line that goes through the point (-2, -2) and has a slope of -4.
y = -2x - 4
y = -4x - 2
y = -2x - 2
y = -4x - 10
Answers
Answer:
D
Step-by-step explanation:
its this because if you graph it in the calculator you can see the points it goes through and you can tell the slope is -4 because its in slope y intercept format:)
The shortest warmer was blue. The two longest warmers were pink.
How much longer was the combined length of the pink warmers than the length of the blue warmer?
Answers
Answer:
8
Step-by-step explanation:
The shortest leg warmer:
4.5
The longest leg warmers:
6 and 6.5
6 + 6.5 = 12.5
12.5 - 4.5 = 8
Find the measurement of the missing angle of this quadrilateral.
Answers
Answer:
x= 81°
Step-by-step explanation:
the interior angles of a quadrilaterial add up to 360°
143+80+56+x=360
condense left side: 279+x=360
isolate x: 279-279+x=360-279
x= 81°
Write the correct ratio (fraction) for each triangle.
Answers
Answer:
21/20
20/29
21/20
20/29
21/29
20/21
Step-by-step explanation:
Use Soh Cah Toa for each, using the right equation for the right angle
e.g for sin(z) we use the opposite/adjacent for that angle
the hypotenuse is the biggest sizethe opposite is the side opposite to the angle you are usingthe adjacent is the other sideYou might need:
Calculator
Problem
The following shape has 111 pair of parallel sides.
What is the area of the shape?
Answers
Answer:
56
Step-by-step explanation:
First I would get the area of the entire figure as if it were a Rectangle
10x7 = 70 Area if the figure was a rectangle.
We can form a triangle with the cut out space, the height of the triangle is 10-6 which is 4 and has a base of 7.
7x4= 28
28/2 = 14 Area of triangle cutout
Now you subtract the two figures
70-14= 56
56 Is the area
The area of the given shape is 56 square units.
What is an area?The quantity of space within a two-dimensional figure or form is measured by its area. It is a number that describes the size or extent of a surface, like the surface of a flat plane or the contours of an area on a map.
First I would get the area of the entire figure as if it were a Rectangle
10x7 = 70 Area if the figure was a rectangle.
Form a triangle with the cutout space, the height of the triangle is 10-6 which is 4, and has a base of 7.
7 x 4= 28
28/2 = 14 Area of triangle cutout
Now you subtract the two figures
70-14= 56 Square units
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Please help. Will mark brainlyest!
Answers
Systolic blood pressure for a group of women is normally distributed, with a mean of 121 and a standard deviation of 9. Find the probability that a woman selected at random has the following blood pressures. (Round your answers to four decimal places.) (a) greater than 136 (b) less than 114 (c) between 114 and 128
Answers
the probability that a woman selected at random has a blood pressure between 114 and 128 is 0.5588.
What is a Z-table?A z-table also known as the standard normal distribution table, helps us to know the percentage of values that are below (or to the left of the Distribution) a z-score in the standard normal distribution.
Given the mean is 121 while the standard deviation of the women is 9. Therefore, Using the z-table, the probability can be found.
(a) The probability that a woman selected at random has blood pressures greater than 136.
[tex]P(x > 136) = 1 - P(x < 136)\\\\P(x > 136) = 1 - P(z < \dfrac{x-\mu}{\sigma})[/tex]
[tex]=1 - P(z < \dfrac{136-121}{9})\\\\=1 - P(z < 1.667)\\\\=1-0.9515\\\\=0.0485[/tex]
(b) The probability that a woman selected at random has a blood pressure less than 114.
[tex]P(x < 114)= P(z < \dfrac{114-121}{9})\\\\[/tex]
[tex]= P(z < -0.77)\\\\= 0.2206[/tex]
(c) The probability that a woman selected at random has a blood pressure between 114 and 128.
[tex]P(114 < x < 128)= P(\dfrac{114-121}{9} < z < \dfrac{128-121}{9})\\\\[/tex]
[tex]= P(-0.77 < z < 0.77)\\\\= P(z < 0.77)-P(z < -0.77)\\\\= 0.7794 - 0.2206\\\\=0.5588[/tex]
Hence, the probability that a woman selected at random has a blood pressure between 114 and 128 is 0.5588.
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What is the answer ?
Answers
Answer:
The answer for Q35 is : 176 cubic feet
Step-by-step explanation:
V = 16×3×2+16×5
= 96 + 80
= 176 cubic feet
write the equation polynomial whose graph contains the points (1,0),(-5,0),(-2,0),(-4,30)
Answers
Answer:
y = 3(x - 1)(x + 5)(x + 2)
Step-by-step explanation:
Given points: (1, 0) (-5, 0) (-2, 0) (-4, 30)
x-intercepts are when y = 0
Therefore, the x-intercepts are x = 1, x = -5 and x = -2
So (x - 1), (x + 5) and (x + 2) are all factors of the polynomial.
Therefore, the equation of the polynomial is:
y = a(x - 1)(x + 5)(x + 2) where a is a constant to be found
To find the constant a, input the point (-4, 30) into the equation and solve:
⇒ a(-4 - 1)(-4 + 5)(-4 + 2) = 30
⇒ a(-5)(1)(-2) = 30
⇒ 10a = 30
⇒ a = 3
Therefore, the equation of the polynomial is:
y = 3(x - 1)(x + 5)(x + 2)
Need help i will give brainlist
Answers
Answer:
The option u chose is the correct one
Now, write 21j+56k in factored form .
Answers
Answer:
7(3j+8k)
Step-by-step explanation:
Maria bought 3 books for a total of $26. 25. How much did each book cost?
Answers
Answer:
Step-by-step explanation:
To find the unit rate , divide the total cost by number of books
Cost of 1 book = 26.25 ÷ 3
= $ 8.75
Maria bought 3 books for a total of $26. 25. How much did each book cost ?
Explanation -:In this question it is given that Maria bought 3 books and the cost of 3 books is $26.25. We are asked to calculate the cost of 1 book.
We can find the cost of 1 book by dividing the total cost by number of books.
Cost of 1 book = $26.25 ÷ 3 = [tex]\dfrac{26.25}{3}[/tex] = 8.75
Verifying -:Cost of 1 book = $8.75
Cost of 3 books = 8.75 × 3 = $26.25
Hence, proved
Please help me with this trigonometry question. Brainliest available.
Answers
11^2 =7 ^2 +15^2 - 2(7)(15)cos(a)
When you do the maths,
Cos(a) =153/210 =0.729
a= cos inverse of 0.729
a=43 degrees
Considering angle b
7^2=15^2 +11^2 -2(11)(15) cos(b)
This will result in cos(b) =297/330=0.9
b= cos inverse of 0.9 = 25.8 degrees
Considering angle c
15^2=7^2 +11^2 - 2(11)(7) cos(c)
Cos(c) will be = -55/154 = -0.357
c= cos inverse of -0.357=110.9
Comparing the angles a,b and c,
C is the largest size in the triangle with an angle of 110.9 degrees
Am I right please ??
HELP ME!!!!!!
The data represents the yearly salary, in thousands of dollars, for 9 managers.
{68, 54, 104, 183, 72, 84, 75, 108, 71}
What is the five-number summary?
A. Minimum = 54Q1= 69.5Median = 75Q3= 106Maximum = 183
B. Minimum = 54Q1= 72Median = 74.5Q3= 104Maximum = 183
C. Minimum = 54Q1= 71Median = 74.5Q3= 108Maximum = 183
D. Minimum = 54Q1= 70Median = 74.5Q3= 106Maximum = 183
Answers
Answer:
A. Minimum = 54, Q1= 69.5, Median = 75, Q3= 106, Maximum = 183
Step-by-step explanation:
Arranging the data set in order from least to greastest we get:
54, 68, 71, 72, 75, 84, 104, 108, 183
From this, we can see that the minimum value is 54 and the maximum value is 183.
Taking a number off one by one on each side of the data set gives the median. In the middle lies 75, so that is our median
To find quartile ranges, split the data set into two where the median lies, then, find the median of those two data sets. The medians will be the values of the upper (Q3) and lower quartiles (Q1).
Q1: 54, 68, 71, 72
68 + 71 = 139
139 ÷ 2 = 69.5
-----
Q3: 84, 104, 108, 183
104 + 108 = 212
212 ÷ 2 = 106
Option A is the only answer with all of these values, therefore, it is the answer.
hope this helps!
I need help please someone help me :(
Btw the bottom on has the same graph I just need a answer
Answers
Problem 1
There are 23 women that drive out of 12+3+23+8+5+32 = 83 people total
Divide the two values: 23/83 = 0.28 approximately
This says about 28% of the total people are women who drive a car.
Answer: 0.28===========================================================
Problem 2
The "given" is a very important keyword in probability. In this case, we're given that the employee takes the bus. That means we soly focus on the "bus" column only. Everything else is irrelevant. This is because we know 100% that whoever we selected takes the bus, and we've shrunk down the population just these employees.
We have 8 males who take the bus out of 12+8 = 20 people who take the bus. Therefore, 8/20 = 0.40 represents the relative frequency of males who take the bus out of all bus commuters. In other words, 40% of the bus riders are male.
Answer: 0.40How does g(t)=20.9t change over the interval from t=2 to t=3?
Answers
[tex]slope = m = \cfrac{rise}{run} \implies \cfrac{ f(x_2) - f(x_1)}{ x_2 - x_1}\impliedby \begin{array}{llll} average~rate\\ of~change \end{array}\\\\[-0.35em] \rule{34em}{0.25pt}\\\\ g(t)= 20.9t\qquad \begin{cases} t_1=2\\ t_2=3 \end{cases}\implies \cfrac{g(3)-g(2)}{3-2}\implies \cfrac{20.9(3)~~ - ~~20.9(2)}{1} \\\\\\ 62.7~~ - ~~41.8\implies 20.9[/tex]
If Deb cleans a 9100 square foot building for a total of $306.00, what is the amount Deb gets paid for a building half that size? (Hint: You will need to calculate the square footage of the building before you set up the ratio.)
A. 4550
B. 153
C. 306
D. 4397
Answers
Answer:
Answer choice B: 153
Step-by-step explanation:
5(y+2)= -3
Whats the answer TvT
Answers
Answer:
The answer is given below
Step-by-step explanation:
[tex](5y + 10) = - 3[/tex]
[tex]5y = - 3 - 10[/tex]
[tex]5y = - 13[/tex]
[tex]y = - 13 \div 5[/tex]
This is the velue of y
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASEAnswer:
5(y+2)= -3
distribute
5y+10=-3
-10
5y=-13
divide by 5
y=-13/5
Hope This Helps!!!
What is the value of x?
Enter your answer in the box.
x =
The figure shows 2 right triangles, triangle A B C with right angle B and triangle B D C with right angle D. The measure of angle B A C is 45 degrees. The measure of angle D B C is 60 degrees. The length of side C A is 6 square root 2. The length of side B D is x.
Answers
Answer:
x=3
Step-by-step explanation:
I took the test and I got it right but if you want an explanation see bellow.
so triangle ABC is a 45- 45 -90 and we are given the hypotenuse of [tex]6\sqrt{2}[/tex]
and on a 45-45-90 triangle we know that the hypotenuse is always [tex]s\sqrt{2}[/tex] s standing for the lengths of both of the legs since they are both equal, so this tells us that line segment AB and BC are equal to 6, SO triangle BCD hypotenuse is equal to 6.Triangle BCD is a 60-90-30 triangle as we can tell by the measures given, and in a 60-90-30 triangle the hypotenuse is equal to S and it's shorter length known as line segment BD on this triangle is equal to [tex]\frac{s}{2}[/tex] and since we know s=6 we can do [tex]\frac{6}{2}[/tex] giving us our answer 3.
Using the sine ratio and the cosine ratio, the value of x in the given triangle is calculated as: x = 6.
How to Find the Value of x?Using the sine ratio, find BC:
sin ∅ = opposite/hypotenuse
Given the following:
∅ = 45°
hypotenuse = 6√2
opposite = BC
Substitute:
sin 45 = BC/6√2
sin 45 = BC/6√2
√2 = BC/6√2 [sin 45 = √2]
BC = √2 * 6√2
BC = 12 units
Use the cosine ratio to find x:
cos ∅ = adjacent/hypotenuse
Thus, we have:
cos 60 = x/12
1/2 = x/12 [cos 60 = 1/2]
2x = 12
x = 6.
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