Answer:
0.0000000000783
Step-by-step explanation:
Since the exponent is negative you will move the decimal point 11 places to the left, including the number 7.
16x² +8-7x-3x2 - 13x
Answer:
[tex]13x^{2}[/tex]-20x+8
Step-by-step explanation:
Step 1: rearrange the equation
16x^2 - 3x^2 - 7x - 13x +8
Step 2: solve the equation
16x^2 - 3x^2 = 13x^2
-7x - 13x = -20x
(the +8 will stay the same)
so when we put it all together it gives us
13x^2 - 20x + 8
The speed of sound in hydrogen is about 3.9 times its speed in air. If its speed in
hydrogen is almost 1287 m/s, what is its speed in air?
Answer:
330
Step-by-step explanation:
Answer:
330 m/s
Step-by-step explanation:
Divide 1287 m/s by 3.9 to get the speed of sound in air as given that the speed of sound in hydrogen is 3.9 times it's speed in hydrogen.
Hope this makes sense.
Good luck!!
What is the slope of a line parallel to the line whose equation is 3x – 3y = -45.
Fully reduce your answer,
Answer:
One
Step-by-step explanation:
A parallel line has the same slope of the original graph. Because of this, all we need to do is put the equation you gave into slop-intercept form, or:
y = mx + b
Don't forget that m is the slope, and b is the y-intercept!
3x - 3y = 45
-3y = -3x + 45
y = x + 15
Compare this to the equation of the slope-intercept form and look for m:
y = mx + b
There's nothing in front of the variable! No worries, that's the same thing as saying 1x.
But mathematicians are a little lazy (lol) and they don't want to mistake the number 1 for the lowercase letter L or a capital i. Because of that, they made 1x equal x.
Long story short, the slope for the equation (3x – 3y = -45) is one. And because parallel lines have the same slope as their original counterparts, the slope is one as well!
I recommend trying a few other problems like these. You'll end up using them a lot in the future!
Good luck and keep studying!
does this graph show a function? explain how you know
Answer:
B
Step-by-step explanation:
if you drew a line on top of any part of the parabola, you will only touch the line once.
(when drawing a line, they are always vertical, not horizontal)
Think I fell asleep during this lesson... whoops ¯\_(ツ)_/¯
**Wrong answers will be reported
Answer:
I believe it's 65 degrees.. I'm sry if wrong I may have fell asleep too
Step-by-step explanation:
Solve each inequality below.
7. -4x < 32
THIS IS URGENT, IM ABOUT TO START CRYING!!!
The table below represents a linear function f(x) and the equation represents a function g(x):
x f(x)
−1 −5
0 −1
1 3
g(x)
g(x) = 4x + 3
Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points)
Part B: Which function has a greater y-intercept? Justify your answer. (4 points)
(10 points)
PART A:
Finding the slope of the function f(x)
Choose any two pairs of coordinate from the table; (-1, -15) and (0, -10)
Let (-1, -15) be (x₁, y₁) and (0, -10) be (x₂, y₂)
Slope =
Slope of f(x) = 5
The function g(x) is given in the straight line equation form
Where, is the slope and is the y-intercept
Slope of g(x) = 2
-----------------------------------------------------------------------------------------------------------
g(x) = 2x + 8
Where, the slope (m) = 2 and the y-intercept (c) = 8
The y-intercept of g(x) is 8
for f(x), we can read the y-intercept when x = 0.
From the table, when x = 0, y = -10
The y-intercept of f(x) is -10
Function g(x) has higher y-intercept
The value of $\sqrt{73}$ is between two positive, consecutive integers. What is the product of these two integers?
Answer:
Step-by-step explanation:
What are the two closest square numbers to 73?
64 and 81
[tex]\sqrt{64} \leq \sqrt{73} \leq \sqrt{81}\\8\leq \sqrt{73} \leq 9\\8*9 = 72[/tex]
Answer:
72
Step-by-step explanation:
Since $73$ is between $64=8^{2}$ and $81=9^{2}$, we know that $\sqrt{73}$ is between $8$ and $9.$ Our answer is $8\cdot9=\boxed{72}.$
Anyone know how to do this find the slope? Will give brainliest.
A set of average city temperatures in October are normally distributed with a mean of
20.
6
∘
C
20.6
∘
C20, point, 6, degrees, start text, C, end text and a standard deviation of
2
∘
C
2
∘
C2, degrees, start text, C, end text.
What proportion of temperatures are between
1
8
∘
C
18
∘
C18, degrees, start text, C, end text and
20.
6
∘
C
20.6
∘
C20, point, 6, degrees, start text, C, end text?
Answer:
0.4032
Step-by-step explanation:
A researcher wishes to estimate, with % confidence, the population proportion of adults who eat fast food four to six times per week. Her estimate must be accurate within % of the population proportion.
Answer:
The minimum sample size required is 1068.
Step-by-step explanation:
The complete question is:
A researcher wishes to estimate, with 95% confidence, the population proportion of adults who eat fast food four to six times per week. Her estimate must be accurate within 3% of the population proportion.
No preliminary estimate is available. Find the minimum sample size needed.
Solution:
The (1 - α)% confidence interval for the population proportion is:
[tex]CI=\hat p\pm z_{\alpha/2}\cdot\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]
The margin of error for this interval is:
[tex]MOE= z_{\alpha/2}\cdot\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]
The information provided is:
[tex]MOE=0.03\\\text{Confidence level}=95\%[/tex]
Assume that the sample proportion is 50%.
The critical value of z is, 1.96.
Compute the minimum sample size required as follows:
[tex]MOE= z_{\alpha/2}\cdot\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]
[tex]n=[\frac{z_{\alpha/2}\cdot \sqrt{\hat p(1-\hat p)}}{MOE}]^{2}[/tex]
[tex]=[\frac{1.96\times\sqrt{0.50(1-0.50)}}{0.03}]^{2}\\\\=1067.1111\\\\\approx 1068[/tex]
Thus, the minimum sample size required is 1068.
38. By the commutative property, 3(w +9) is
equivalent to which expression?
A. 3w + 9
B. 3w + 27
C.
D. 3(9+ w)
Answer:
B
Step-by-step explanation:
3 ( w + 9 )
3 × w + 3 × 9
3w + 27
Hope this helps
plz mark as brainliest!!!!!!!
What should we subtract from 50/29 to get 24
Answer:
-22.28
Step-by-step explanation:
Let the number to be subtracted from 50/29 to get 24 to be x
So this can be written as : 50/29 - x =24 ----collect like terms as
50/29 - 24 = x
1.72 -24 = x
-22.28 = x
So to check the answer;
50/29 -{x} = 24
50/29 - {- 22.28} = 24
1.72+ 22.28 = 24 ---correct.
How many of the numbers between 8 and 65 are a multiple of 7?
A) 5
B) 6
C) 7
D) 8
Answer:
8 is the answer.
8 numbers between 8 and 65 are a multiple of 7
which triangle is the most similar to triangle ABC?
PLEASE HELP ME!!! Point Q is located at (-4, 6) Point R is located at (8, 6)
what is the distance from point Q to point R?
oswald and paula share sweets in the ratio 7:4 if oswald recievies 49 sweets how many less does paula get
Answer:
21 less
Step-by-step explanation:
49:? = 7:4
49 / 7 = 7
7 x 4 = 28
49- 28 = 21
if you spun the spinner 100 times would you expect it to land on red
How many colors are there in total?
what is distributive property?
Answer:
To distribute means to divide something or give a share or part of something. For example, for the problem 4(6+2), you would use the distributive property and distribute the 4. Making the end result, 24+8.
Answer:
The distributive property tells us how to solve equations in the form of a(b + c). The distributive property is sometimes called the distributive law of multiplication and division. Normally when we see an equation like this … 4(8+3) distributive property format 4(8+3) -> 4(11) -> 44 we just evaluate what’s in the parentheses first, then solve it: 4(8+3)=4x8 + 4x3=44 These are the 2 methods
Step-by-step explanation:
A translation maps (x, y) to
(x – 5, y + 3). In which
quadrant does the point
(-3,-2) lie under the same
translation?
Answer:
second quadrant
Step-by-step explanation:
(x, y ) → (x - 5, y + 3 ) means subtract 3 from the original x- coordinate and add 3 to the original y- coordinate.
(- 3, - 2 ) ← in third quadrant
→ (- 3 - 5, - 2 + 3) → (- 8, 1 ) ← in second quadrant
Hello! Did anyone took the isat ( International student admission test) ?? Please let me know !
Answer:
No, I haven't taken the isat.
Step-by-step explanation:
Answer:
No, what is it for?
Step-by-step explanation:
If I pay $600 in interest for my simple interest loan for $10,000 at an
interest rate of 3%, how long did I have the loan for?
Answer:
2 periods
Step-by-step explanation:
Simple interest is compounded one time, usually annually, although it could be less time or longer. Thus I answer 2 periods. If your choices include 2 years, that is most likely the answer.
To find the answer,
$10,000 x .03 = $300.
$600 / $300 = 2 periods.
Hope this helps.
Good luck
jessica will babysit children for $8 an hour. ciara will babysit for an appointment fee of $12 and $4 an hour. how many hours would they need to work to earn the same amount of money? if a baby sitter was needed for 5 hours, who would be less expensive?
Answer:
Answer are in bold below
Step-by-step explanation:
Question: 1
Jessica = $8
Ciara = $12 + 4 $16
Now we times both values.
16 x 8 = $128
8 x 16 = $128
They would both need to work 8 hours ft=or the same money.
Question 2:
$8 x 5 = $40
$16 x 5 =$80
Jessica will be less expensive.
Answer: 3 hours
Jessica=$8
Ciara= $4 + $12
8*3= $24
4*3= $12 +$12= $24
Because Ciara has an additional $12 fee, you have you add it on to her total.
Unit 4 Test, Part 2: Congruence and Constructions
Help with my math please
Answer/Step-by-sep explanation:
1. Given:
∆NMK ≅ ∆TRP
[tex] \overline{NM} = 20 [/tex]
[tex] \overline{MK} = 15 [/tex]
[tex] \overline{KN} = 25 [/tex]
[tex] \overline{TR} = 3x - 1 [/tex]
a. To complete the congruent statement, thus: ∆MNK ≅ ∆RTP
b. The side that is congruent to [tex] \overline{TR} [/tex] is [tex] \overline{NM} [/tex]. Thus:
[tex] \overline{TR} [/tex] ≅ [tex] \overline{NM} [/tex]
c. Since [tex] \overline{TR} [/tex] ≅ [tex] \overline{NM} [/tex], therefore:
[tex] \overline{TR} = \overline{NM} [/tex]
[tex] 3x - 1 = 20 [/tex] (substitution)
Add 1 to both sides
[tex] 3x = 20 + 1 [/tex]
[tex] 3x = 21 [/tex]
Divide both sides by 3
[tex] x = \frac{21}{3} [/tex]
[tex] x = 7 [/tex]
2. a. Slope of LK = [tex] \frac{rise}{run} = \frac{4}{3} [/tex]
Slope of LM = [tex] \frac{rise}{run} = -\frac{3}{5} [/tex]
b. ✍️Length of LK is the distance between L(-7, 4) and (-4, 8):
[tex] Lk = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
[tex] Lk = \sqrt{(-4 -(-7))^2 + (8 - 4)^2} [/tex]
[tex] Lk = \sqrt{(3)^2 + (4)^2} [/tex]
[tex] Lk = \sqrt{9 + 16} [/tex]
[tex] Lk = \sqrt{25} [/tex]
[tex] Lk = 5 [/tex]
✍️Length of LM is the distance between L(-7, 4) and (-2, 1):
[tex] LM = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
[tex] LM = \sqrt{(-2 -(-7))^2 + (1 - 4)^2} [/tex]
[tex] LM = \sqrt{(5)^2 + (-3)^2} [/tex]
[tex] LM = \sqrt{25 + 9} [/tex]
[tex] LM = \sqrt{34} [/tex]
[tex] LM = 5.8 [/tex] (nearest tenth)
∆KLM is not an isosceles ∆ because it does not has two equal side lengths. This we can see because LK and LM are not equal.
Therefore, Anthony is incorrect. Am isosceles ∆ has two equal sides.
Item 6 Graph △JKL and its image after a reflection in the y-axis. J(5, 3), K(1,−2), L(−3, 4)
Answer:
J(-5,3) K(-1,-2) L(3,4)
Step-by-step explanation:
Reflections over the y axis make the x its opposite. 5 would change to -5, 1 would change to -1, and -3 would change to 3.
When a shape is reflected, it must be reflected across a line.
See attachment for the graph of the image of JKL
The coordinates are given as:
[tex]\mathbf{J = (5,3)}[/tex]
[tex]\mathbf{K = (1,-2)}[/tex]
[tex]\mathbf{L = (-3,4)}[/tex]
The rule of reflection across the y-axis is:
[tex]\mathbf{(x,y) \to (-x,y)}[/tex]
So, the image of the reflection is:
[tex]\mathbf{J'= (-5,3)}[/tex]
[tex]\mathbf{K'= (-1,-2)}[/tex]
[tex]\mathbf{L'= (3,4)}[/tex]
See attachment for the graph of the image of jKL
Read more about reflections at:
https://brainly.com/question/15487308
Evaluate the function.
f(x) = -x^2 + 6
Find f(-3)
CONVERT 1.3333........ into p/q form
Answer:
4/3In short form, it is x is equal tox= 12/9What is the boiling point of salty ocean water?
Answer: approximately 105.7°C
Step-by-step explanation:
Seawater of 35 psu has a specific heat of 0.932 compared with 1.000 for pure water. Pure water freezes at 0 °C and boils at 100 °C (212 °F) under normal pressure conditions. When salt is added, the freezing point is lowered and the boiling point is raised. Therefore, we can tell that salt increases the boiling temperature, but not by very much. If you add 3 grams of salt to 100 grams (or mL) of water, instead of boiling at 100° C, it'll boil at 100.5° C.
And I'm not sure about the ocean water because the expected range is too wide and various, so maybe I guess the boiling point of salty ocean water would be about 105.7°C?
Maria donates a fixed amount, a, to a charity each month. If she donates $300 in 12 months, what is the equation for a? A. a + 300 = 12 B. a × 300 = 12 C. a × 12 = 300 D. a + 12 = 300 E. a + 32 = 100
Answer:
a times 12=300
Step-by-step explanation:
donated each month a should be 25. $25 times 12 equals 300
Answer:
C.
a × 12 = 300
Step-by-step explanation:
How many eight notes is equal to a halfnote
Answer: Four eighth notes
Sixteenth Notes
Step-by-step explanation: Two quarter notes equal one half note in duration and four quarter notes equal one whole note. Two eighth notes equal one quater note in duration. Four eighth notes equal one half note in duration and eight eighth notes equal one whole note.
Answer:
Four eighth notes
Four eighth notes equal one half note in duration and eight eighth notes equal one whole note. Two sixteenth notes equal one eighth note in duration and four sixteenth notes equal one quarter note in duration, etc.