Answer:
1. The first statement is true
2. Answer will be 0. 2083
3. 1: 5
4. 0 takes in ten billions place
5. 1.38 * 10^10
Hope this helped
Correct me if i'm wrong
All the best !!
Yuri thinks that 3/4 is a root of the following function.
q(x)=6x^3+19x^2-15x-28
Explain to Yuri why 3/4 cannot be a root.
Given:
The polynomial function is
[tex]q(x)=6x^3+19x^2-15x-28[/tex]
Yuri thinks that [tex]\dfrac{3}{4}[/tex] is a root of the given function.
To find:
Why [tex]\dfrac{3}{4}[/tex] cannot be a root?
Solution:
We have,
[tex]q(x)=6x^3+19x^2-15x-28[/tex]
If [tex]\dfrac{3}{4}[/tex] is a root, then the value of the function at [tex]\dfrac{3}{4}[/tex] is 0.
Putting [tex]x=\dfrac{3}{4}[/tex] in the given function, we get
[tex]q(\dfrac{3}{4})=6(\dfrac{3}{4})^3+19(\dfrac{3}{4})^2-15(\dfrac{3}{4})-28[/tex]
[tex]q(\dfrac{3}{4})=6(\dfrac{27}{64})+19(\dfrac{9}{16})-\dfrac{45}{4}-28[/tex]
[tex]q(\dfrac{3}{4})=3(\dfrac{27}{32})+\dfrac{171}{16}-\dfrac{45}{4}-28[/tex]
[tex]q(\dfrac{3}{4})=\dfrac{81}{32}+\dfrac{171}{16}-\dfrac{45}{4}-28[/tex]
Taking LCM, we get
[tex]q(\dfrac{3}{4})=\dfrac{81+342-360-896}{32}[/tex]
[tex]q(\dfrac{3}{4})=\dfrac{-833}{32}\neq 0[/tex]
Since the value of the function at [tex]\dfrac{3}{4}[/tex] is not equal to 0, therefore, [tex]\dfrac{3}{4}[/tex] is not a root of the given function.
Please include the steps that took you to get your answer. I am very confused on what to do with the 1/2.
First let's review how to expand this!
(ax+b)^2=a^2*x^2+2abx+a^2
In this case
(2x^2+1/2)^2=2^2*x^2+2*1/2*2x+(1/2)^2
=4x^2+2x+1/4
Done!
what are the next 3 terms in this:O,T,T,F,F
Answer:
Step-by-step explanation:
S, S, E.
Come on, do I have to spell it out for you? :)
Solve the proportion: 9 is to 16 as M is to 32.
(please show working out!)
Answer:
Step-by-step explanation:
9 : 16 :: M : 32
Means of extremes = means of means
= 9 x 32 = 16 x M
= 288 = 16M
288/16 = M
18 = M
Pippin went to a game room that charged $4 admission, plus $0.25 per token. The equation which represents his total cost is y = 0.25x + 4.What are the ordered pairs for the equation when you use these x-values: 5, 10, 20?(5, 5), (10, 8), (20, 15)(5, 8), (10, 10), (20, 15)(5, 5.25), (10, 6.50), (20, 9)(5, 5.50), (10, 8.50), (20, 13)
Answer:
(5, 5.25) , (10, 6.50) , (20, 9)
Step-by-step explanation:
As given ,
y = 0.25x + 4
Now,
if x = 5
⇒ y = 0.25(5) + 4
= 1.25 + 4
= 5.25
⇒ y = 5.25
∴ the ordered pair be (x, y) = (5, 5.25)
if x = 10
⇒ y = 0.25(10) + 4
= 2.5 + 4
= 6.50
⇒ y = 6.50
∴ the ordered pair be (x, y) = (10, 6.50)
if x = 20
⇒ y = 0.25(20) + 4
= 5 + 4
= 9
⇒ y = 9
∴ the ordered pair be (x, y) = (20, 9)
Find all values of k, if any, that satisfy the equation (in attachment). Enter the exact answer(s).
Compute the rightmost product:
[tex]\begin{bmatrix}1&2&0\\2&0&4\\0&4&-1\end{bmatrix}\begin{bmatrix}2\\2\\k\end{bmatrix}=\begin{bmatrix}1\times2+2\times2+0\times k\\2\times2+0\times2+4\times k\\0\times 2+4\times2+(-1)\times k\end{bmatrix}=\begin{bmatrix}6\\4k+4\\8-k\end{bmatrix}[/tex]
Then
[tex]\begin{bmatrix}2&2&k\end{bmatrix}\begin{bmatrix}6\\4k+4\\8-k\end{bmatrix}=2\times6+2\times(4k+4)+k\times(8-k)=-k^2+16k+20[/tex]
Use whatever methods you like to solve the remaining quadratic equation:
-k ² + 16k + 20 = 0 → k = 8 ± 2√21
which expression is equivalent to 2(3 - x) - 12 + 4x
3x - 6
3x - 7
2x - 7
2x - 6
Find the equation of the exponential function represented by the table below:
Answer:
[tex]y =5(3)^x[/tex]
Step-by-step explanation:
Given
The attached table
Required
Determine the equation of the table
The table represents an exponential function. So, we make use of
[tex]y = ab^x[/tex]
When x = 0, y= 5.
So:
[tex]y = ab^x[/tex] becomes
[tex]5 = ab^0[/tex]
[tex]5 = a*1[/tex]
[tex]5 = a[/tex]
[tex]a = 5[/tex]
When x = 1; y = 15
So;
[tex]y = ab^x[/tex] becomes
[tex]15 = a * b^1[/tex]
[tex]15 = a * b[/tex]
Substitute 5 for a
[tex]15 = 5 * b[/tex]
Divide both sides by 5
[tex]\frac{15}{5} = \frac{5 * b}{5}[/tex]
[tex]3 = b[/tex]
[tex]b = 3[/tex]
Substitute values for a and b in: [tex]y = ab^x[/tex]
[tex]y =5(3)^x[/tex]
Someone please help me!!:(
Give a list with six different numbers with median 24 where the mean is smaller than the median. State the
mean of your list of numbers.
Please help me I’m giving brainliest!
=====================================================
Work Shown:
Applying the tangent-secant theorem will allow us to solve for x
x*(x+5) = (x+2)^2
x^2+5x = (x+2)*(x+2)
x^2+5x = x^2+4x+4
5x = 4x + 4 ..... subtracting x^2 from both sides; terms cancel
5x-4x = 4
x = 4
------------------
Check:
Plug in x = 4
x*(x+5) = (x+2)^2
4*(4+5) = (4+2)^2
4*(9) = (6)^2
36 = 36
The answer is confirmed.
In a survey, 31 people were asked how much they spent on their child's last birthday gift. The results were roughly bell-shaped with a mean of $33 and a standard deviation of $16. Construct a confidence interval at a 98% confidence level.
Give your answers to one decimal place
Answer:
The margin of error is 5. 00
Solve the inequality for x.
X-3/4>=-1/8
Simplify your answer as much as possible
[tex]x - \frac{3}{4} \geqslant - \frac{1}{8} [/tex]
Solve the Inequality for x-term.[tex]x \geqslant - \frac{1}{8} + \frac{3}{4} [/tex]
Make both fractions to have same denominators by multiply 2 in 3/4 for both numerator and denominator.
[tex]x \geqslant - \frac{1}{8} + \frac{3 \times 2}{4 \times 2} \\ x \geqslant - \frac{ 1}{8} + \frac{6}{8} \\ x \geqslant \frac{5}{8} [/tex]
Hence, the solution is, "x is greater or equal to 5/8."
Answer[tex] \large \boxed{x \geqslant \frac{5}{8} }[/tex]
random khan question and I haven't done this in a year, I'm struggling.
Answer:
Add maybe
Step-by-step explanation:
add the 500+400+200 try that hope it helps have a great day
50 points
Yolanda received her telephone bill on July 27th and paid it three weeks later. What was the date that Yolanda paid her electric bill? A. July 6 B. July 17 C. August 17 D. August 18
Answer:
Aug 16th
Step-by-step explanation:
50 points I WILL ALSO MARK BRAINLIEST ITS TIMED PLZ HURRY
The coordinates of the vertices of a polygon are shown on the graph below.
On a coordinate plane, point A is at (negative 4, 3), point C is at (0, negative 3), and point B is at (negative 4, negative 3).
What is the name of the polygon?
octagon
pentagon
quadrilateral
triangle
Answer:
Triangle
Step-by-step explanation:
Option D. triangle
determine the area of mrs wests backyard that is coverd grass and show ur work!!
Answer:
150 ft^2
Step-by-step explanation:
The formula is (30*10)/2 which is equal to 150.
Using the diagram below, what is the length of PR (Please answer within 10 min it's on a time limit.)
Answer:
oof
Step-by-step explanation:
Question- What method would you happen to be using to solve this problem?
Elena is designing a paint can with thickness ttt millimeters and height hhh centimeters. She calculates that the thickness of the can in milimeters must be at least 0.1, point, 1 times the height of the can in centimeters in order to withstand pressure. Due to cost constraints, the cost of material used, (0.2 + t+ 0.5h)cents, must be at most 12.2, point, 2 cents. Which system of inequalities best models the relationship between height and thickness?
Answer:
[tex]t \ge h[/tex] and [tex]t + 0.5h \le 12.0[/tex]
Step-by-step explanation:
Given
[tex]t= thickness[/tex]
[tex]h =height[/tex]
From the first statement, we have that:
[tex]t\ mm \ge 0.1 * h\ cm[/tex]
Convert mm to cm
[tex]t\ * 0.1*cm \ge 0.1 * h\ cm[/tex]
[tex]t\ *0.1 \ge 0.1 * h[/tex]
Divide both sides by 0.1
[tex]t \ge h[/tex]
From the second statement, we have that:
[tex]Cost \le 12.2[/tex]
Substitute 0.2 + t + 0.5h for Cost
[tex]0.2 + t + 0.5h \le 12.2[/tex]
Collect Like Terms:
[tex]t + 0.5h \le 12.2-0.2[/tex]
[tex]t + 0.5h \le 12.0[/tex]
So, the inequalities are:
[tex]t \ge h[/tex] and [tex]t + 0.5h \le 12.0[/tex]
Answer: it's a, the answer
Step-by-step explanation:
can someone help this is kinda confusing i’ll mark you as brainlilest.
Answer:
The answer is A, good luck on the test! :D
Step-by-step explanation:
Answer:
Step-by-step explanation:
A. In geometry, a cylinder is a three-dimensional shape with a circular base, ... So using the volume of cylinder formula we can find the volume of i
solve each equation for given variable
- 12 = 6i- 6
Lindsay invest $250 in a bank account that pays 3% interest each year how much money will be in her account after one year?
Factorise fully 18j + 30jk
Answer:
6j(5k+3)
Step-by-step explanation:
18j+30jk
Factor out 6.
6(3j+5jk)
Consider 3j+5jk. Factor out j.
j(3+5k)
Rewrite the complete factored expression.
6j(5k+3)
Solve the system of equations by substitution. 3/8x + 1/3y = 17/24
Answer:
this question is not complete. need another equation
Step-by-step explanation:
give another equation then I can solve
[tex] \frac{3}{8} x = \frac{17}{24} - \frac{1}{3} y \\ x = \frac{17}{9} - \frac{8}{9} y[/tex]
solve and recieve brain list I took a better picture
What is the equation of the line that passes through the point (-3,2) and has a slope of -2/3
Answer: Y=2/3x+4
................................................
Identify if the equation is growth
or decay and the rate.
Answer:B
Step-by-step explanation:m is the slope and m=-3
Find the measure of CD.
Round to the nearest tenth.
mCD=[?]degrees
Answer:
m(arc CD) = 14.1 cm
Step-by-step explanation:
Measure of an arc of the circle = [tex]\frac{\theta}{360}(2\pi r)[/tex]
Here 'r' = radius of the circle
θ = Angle subtended by the arc at the center of the circle
From triangle OED,
sin(∠EOD) = [tex]\frac{ED}{OD}[/tex]
sin(∠EOD) = [tex]\frac{\frac{12.7}{2}}{9.06}[/tex]
= [tex]\frac{6.35}{9.06}[/tex]
= 0.7
m∠EOD = 44.498
≈ 44.5°
Angle subtended by the arc CD at the center = m∠COD
= 2(44.5)
= 89°
m(arc CD) = [tex]\frac{89}{360}(2\pi)(9.06)[/tex]
= 14.07
≈ 14.1 cm
A screening test wished to improve the diagnostic ability to identify Zika-infected fetuses in pregnancy rather than after birth. A total of 330 pregnant women (carrying one baby each) in Miami were tested. A total of 36 babies had Zika; 24 of whom tested positive. A total of 300 babies tested negative for the virus. What is the sensitivity, specificity, positive predictive value, negative predictive value, and accuracy of the test?
a. 94.5%
b. 33.3%
c. 66.7%
d. 96.0%
e. 98.0%
f. 80.0%
Answer:
Sensitivity = 66.7% (C)
specificity= 98.0% (E)
positive predictive value = 80.0% (F)
Negative predictive value = 96.0% (D)
accuracy of the test = 94.5% (A)
Step-by-step explanation:
Given the data in the question;
Disease Present Disease Absent Total
Test Positive 24 6 30
Test Negative 12 288 300
Total 36 294 330
so A = 24, B = 6, C = 12 and D = 288
sensitivity = [A/(A+C)]×100 = [24/(24+12)]×100 = [24/36]×100
Sensitivity = 66.7% (C)
specificity= [D/(D+B)]×100 = [288/(288+6)]×100 = [288/294]×100
specificity= 98.0% (E)
positive predictive value = [A/(A+B)]×100 = [24/(24+6)]×100
= [24/30]×100
positive predictive value = 80.0% (F)
Negative predictive value = [D/(D+C)]×100 = [288/(288+12)]×100
= [288/300]×100
Negative predictive value = 96.0% (D)
accuracy of the test = [A+D/(A+B+C+D)]×100 = [24+288/(24+6+12+288)]×100
= [312/330]×100
accuracy of the test = 94.5% (A)
Nothing 33.3% (B)
Becky made 63 carnival masks, which is 30% less than the number
her brother made. How many carnival masks did Becky and her
brother make in total?
Answer:
273
Step-by-step explanation:
63 ÷ 30% = 210
210 + 63 = 273
therefore your total is 273
hope this is right, and that it helps :)
Answer:
Becky and her brother made 90+63=153 masks in total
Step-by-step explanation:
Percentages
Let's call x=number of masks Becky's brother made.
We know Becky made 30% less than the number of masks her brother made.
30% of x is calculated by:
30*x/100 = 0.3x
Now subtracting from x:
x - 0.3x = 0.7x
Becky made 63 carnival masks, this means that:
0.7x = 63
Dividing by 0.7:
x = 63/0.7 = 90
Becky's brother made 90 masks.
Becky and her brother made 90+63=153 masks in total