Answer:
[tex](a)\ 9 * 27[/tex]
[tex](b)\ 81 * 3[/tex]
[tex](d)\ 3*3*3*3*3[/tex]
Step-by-step explanation:
Given
[tex]3^5[/tex]
Required
Select equivalent expressions
[tex](a)\ 9 * 27[/tex]
Express as exponents
[tex]9 * 27 = 3^2 * 3^3[/tex]
Apply law of indices
[tex]9 * 27 = 3^{2+3[/tex]
[tex]9 * 27 = 3^{5[/tex]
[tex](b)\ 81 * 3[/tex]
Express as exponents
[tex]81 * 3 = 3^4 * 3[/tex]
Apply law of indices
[tex]81 * 3 = 3^{4+1[/tex]
[tex]81 * 3 = 3^5[/tex]
[tex](c)\ 3*5[/tex]
Solve
[tex]3*5 = 15[/tex]
[tex](d)\ 3*3*3*3*3[/tex]
From calculator, we have
[tex]3*3*3*3*3=243[/tex]
Express as exponents
[tex]3*3*3*3*3=3^5[/tex]
[tex](e) 9 * 9[/tex]
Express as exponents
[tex]9 * 9= 3^2 * 3^2[/tex]
Apply law of indices
[tex]9 * 9= 3^{2+2[/tex]
[tex]9 * 9= 3^4[/tex]
Hence, a, b and d are true
Is x = 9 in the solution set of the inequality x + 14 < 20
Yes or no
Answer: No
Step-by-step explanation:
Data: x+14<20
x=9? Is what your trying to find
Step one, Isolate x by subtracting 14 on both sides
X+14-14<20-14=X=6
Reason: Since you are trying to find if x=9, you have to isolate it. The way to do that is to get rid of +14 by subtracting it by 14. However, since what you do to one side you do to the other, you subtract +20 by 14 to get 6.
Since x=6 isn't x=9, the answer is No
Answer: No
I hope this helps!
Directions: Find the surface area of the following solid figures using the given
formula Fill in the blank with the missing number.
(help, i have many assignments to do)
Answer:
for number 2:
(6cm x 4cm) + (6cm x 3cm)
24cm + 18cm + 12cm
2 x 54cm
108cm
for number 3:
80m + 1920m
2,000m
Patrica buys a total of 5 party hats and 5 balloons for the children at a party. Each party hat costs $0.50. Patrica spends a total of $7.50 for the party hats and the balloons. Enter an equation that models the situation with b, the cost of 1 balloon.
Answer:
b=2.5-7.50
Step-by-step explanation: so 5 party hats cost 50 cents, so times that by 5 to get 2.50, and then use the 7.50 and minus it.
Draw the net figure label the net with appropriate dimensions in centimeters
Answer:
your answer has to be A or B cuz the rest fo match up with the measurements
Step-by-step explanation:
What is the length of YZ?
Answer:
28.6 units
Step-by-step explanation:
44/36=35/YZ
44 YZ = 35*36
44 YZ = 1260
YZ = 28.6 units
Is 5pi/3 the same as 5/3 radians?
Best answer gets brainliest!!
What value of x satisfies this equation?
10(1.5)^(3x) = 80
Round your answer to the nearest hundredth.
Answer:
X = 1.71
or
X = 1.70951
Step-by-step explanation:
Good Luck!
The required value of x for the given equation is approximately 1.71.
What are exponential functions?When the expression of function is such that it involves the input to be present as exponent (power) of some constant, then such function is called exponential function. There usual form is specified below. They are written in several such equivalent forms.
Equation:
The given equation is [tex]10(1.5)^{3x} = 80[/tex]
Divide both sides by 10.
[tex](1.5)^{3x} = \dfrac{80}{10}\\\\(1.5)^{3x} = 8[/tex]
Taking log on both sides, we get
[tex]log (1.5)^{3x} = log 8\\\\3x log (1.5) = log 8[/tex]
Divide both sides by 3log(1.5).
x = log 8/ 3log(1.5)
x = 1.71
Therefore, the required value of x for the given equation is approximately 1.71.
Find out more about 'Equation' here:
brainly.com/question/11162571
#SPJ2
Please help!!!!!!!!!!!!!!
Answer:
131/156 or about 84%
5/14 or about 36%
Step-by-step explanation:
P(<6 classes) = number of males and females not taking 6 out of total males and females, which is 131/156 or about 84%
P(M,5) = 74/156 x 20/74 which reduces to 5/14
PLEASE ILL GIVE BRAINLIEST
Ahmed has 31 coins in his pocket, all of which are dimes and quarters. If the total value of his change is 535 cents, how many dimes and how many quarters does he have?
Answer:
19 dimes and 15 quarters.
Step-by-step explanation:
Lets substitute in the equation
565=10x+25(34-x)
565=10x+850-25x
15x=285
x=19
So...
34-19=15
what number shoild come next 100,96,88,72
Answer - 40
----------
100 - 4
96 - 8
88 - 16
72 - 32
Find the equation of a line that passes through (5.3) and (4,5).
Answer:
y=-2x+13
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(5-3)/(4-5)
m=2/-1
m=-2
y-y1=m(x-x1)
y-3=-2(x-5)
y=-2x+10+3
y=-2x+13
what time is it from where y’all live ?
Answer:
1 Pm
Step-by-step explanation:
Answer:
3:18 Pm
Step-by-step explanation:
Nice picture of mute button
Maria is bringing her sick dog Pedro in for a series of appointments at the
veterinary clinic. Her total cost over the course of treatment will be $150 for tests
and medicine plus $30 per appointment, a.
Answer:
need help asap
Step-by-step explanation:
Which fraction is equivalent to 2/6?
determine the most appropriate hypothesis test to use for the following scenario: the august 2008 edition of academy of management journal featured an investigation of the performance and tiing of corporate acquisitions. the investigations discovered that in random sample of 2778 firms, 748 annouced one or more acquisitions during the year 2000. does the sample provide suffcient evidence to indicate that the true percentage of all firms that announced one or more acquisitions during the year 2000 is less than 30%
Answer:
Since the calculated z =-3.5357 falls in the critical region z ≥ 1.645 we reject H0 and conclude that the sample provides sufficient evidence to indicate that the true percentage of all firms that announced one or more acquisitions during the year 2000 is ≥ 30%
Step-by-step explanation:
Testing hypothesis about a population proportion when sample size is large.
If the sample size is large then the variable
z= p^-p / sqrt [pq/n]
is approximately standard normal.
Formulate the hypotheses as
H0 : p < 30% against the claim Ha: p ≥ 30%
Choose the significance level ∝= 0.05
the critical region is z ≥ 1.645 because the alternative hypothesis is stated on a greater than or equal to basis.
Computing
Z= 748-(2778*0.3)/ √2778*30/100*70/100
z= 748-833.4/√583.38
z= -85.4/24.153
z=-3.5357
Since the calculated z =-3.5357 falls in the critical region z ≥ 1.645 we reject H0 and conclude that the sample provides sufficient evidence to indicate that the true percentage of all firms that announced one or more acquisitions during the year 2000 is ≥ 30%
The p- value is 0.0002
plzzzzz help me i have no clue
Answer: Maybe a
Step-by-step explanation:
I mean it is confusing but still look over it
Answer:
The bottom one looks correct
Step-by-step explanation:
Any number from 1-infinity will make that true
y = 3x - 3 y = x2 + 5x - 2
Answer:
The answer is
(0 , 0)
Good luck!
find K if 4 x square - 2 X square + kx + 5 leaves a remainder -10 when divided by 2x+1
Answer:
[tex]k = 31[/tex]
Step-by-step explanation:
Given
[tex]f(x) = 4x^2 - 2x^2 + kx + 5[/tex]
[tex]r = -10[/tex] --- remainder
[tex]d = 2x + 1[/tex] --- divisor
Required
Find k
We have:
[tex]d = 2x + 1[/tex] --- divisor
Equate to 0
[tex]2x + 1 = 0[/tex]
Solve for x
[tex]2x = -1[/tex]
[tex]x =-0.5[/tex]
This means that:
[tex]f(-0.5)=-10[/tex]
So, we have:
[tex]4*(-0.5)^2 - 2*(-0.5)^2 + k*-0.5 + 5 =-10[/tex]
[tex]0.5 -0.5k + 5 =-10[/tex]
Collect like terms
[tex]-0.5k=-10-5-0.5[/tex]
[tex]-0.5k=-15.5[/tex]
Solve for k
[tex]k = -15.5/-0.5[/tex]
[tex]k = 31[/tex]
Which of the following is the point and slope of the equation y + 2 = 2(x - 8)?
-8, 2), 2
(2, -8), 2
(8, -2), 2
(-2, 8), 2
Express y-4[y-3(y-2)] -5 in simplest form
Answer:
y^3 - 9y^2 + 26y - 29
Step-by-step explanation:
y - 4[y - 3(y - 2)] - 5
I'm going to separate it into parts
(y - 3)(y - 2)
y^2 - 5y + 6
(y - 4)(y^2 - 5y + 6)
y^3 - 5y^2 + 6y - 4y^2 + 20y - 24
y^3 - 9y^2 + 26y - 24
y^3 - 9y^2 + 26y - 24 - 5
y^3 - 9y^2 + 26y - 29
How do I write -x + 2y= -4 in slope intercept form
Answer:
ok so slope intercept for is y=mx+b, or y=slope x + y intercept. Sooo it would be y=0.5x-2 :) hope this helps
Step-by-step explanation:
Answer:
y = 1/2 x - 2
Step-by-step explanation:
Slope-intercept form:
y = mx + b
You need to solve for y.
-x + 2y = -4
2y = x - 4
y = 1/2 x - 2
if a +b+c = 0 then the value of a²+b²+c²/bc+ca+ab
pls solve and give the explanation
Answer:
[tex]\frac{a^2 + b^2 +c ^2}{a*b + a*c + b*c} = -2[/tex]
Step-by-step explanation:
if:
a + b + c = 0
then we can rewrite:
c = -a - b
Now we can replace this in our expression:
[tex]\frac{a^2 + b^2 + c^2}{a*b + a*c + b*c} = \frac{a^2 + b^2 + (-a - b)^2}{a*b + a*(-a - b) + b*(-a - c)}[/tex]
Now we can rewrite:
(-a - b)^2 = a^2 + 2*a*b + b^2
Then we can rewrite our expression as:
[tex]\frac{a^2 + b^2 + a^2 + b^2 + 2*a*b}{a*b - a^2 - a*b - b^2 - b*a}[/tex]
Let's keep simplifying this:
[tex]\frac{2*(a^2 + b^2 + a*b)}{-a*b - b^2 - a^2}[/tex]
Here is easy to see the simplification we need to do, as we have the same factor in the denominator as in the numerator (just a different of sign).
[tex]\frac{2*(a^2 + b^2 + a*b)}{-a*b - b^2 - a^2} = \frac{2*(a^2 + b^2 + a*b)}{-(a^2 + b^2 + a*b)} = -2[/tex]
Then the expression is equal to -2
[tex]\frac{a^2 + b^2 +c ^2}{a*b + a*c + b*c} = -2[/tex]
NEED HELP! What is the value of x?
Step-by-step explanation:
from the triangle
let angle close to 130⁰ be y
130⁰+y⁰=180⁰(sum of angles on a straight line)
y⁰= 180⁰-130⁰
y = 50⁰
70 + y + x = 180⁰(sum of angles in a triangle)
70 + 50 + x= 180⁰
x= 180⁰-120⁰
x=60⁰
Find the measure of the missing side PQ using trig ratios
Answer:
take 48 degree as reference angle
use sine rule
sin48=opposite/hypotenuse
0.74=5.4/x
x0.74=5.4
x=5.4/0.74
x=7.29 m
Step-by-step explanation:
Answer:
[tex]sin 48 = \frac{5.4}{X}\\\\X = \frac{5.4}{sin 48}= 7.27m[/tex]
Question 1 of 14
Which of the equations or inequalities below are true?
A. -4 + 6 = 1
B. -4 + 6 7-2
C. -4 + 6 24
D. -4+6 s 2
question seems incomplete
there are no notations for inequalities
Which is less: an angle showing a turn 1/3 of a circle or an angle showing a turn through1/4 of a circle ?
Answer:
1/4 of a circle is less
Step-by-step explanation:
1/4=90°
1/3=120°
Please help me fast i need help
First question: less or greater
Second question: decrease or increase
Third question: would or would not
fourth question: correct or incorrect
You have to choose the answer's
Ok
Answer:
Look at the image.
Step-by-step explanation:
A researcher investigated the relationship between alcohol intake and reaction time in a driving simulation task. Participants drank either one ounce or three ounces of alcohol and were then measured on braking speed at a simulated red light. The independent variable was the
Answer:
Alcohol intake
Step-by-step explanation:
The Independent variable also called the predictor variable may be described as the treatment which is given a subject or factors which is expected to induce a change in our measured variable which is called the predicted or dependent variable. During research, the test various factors which are expected to cause a change are the independent variable, whereas, the variable which is measured as a result of the changes caused due to the different independent variables is the dependent variable. In the scenario above, we wish to measure braking speed after the subjects have been given a certain ounce of alcohol, this ounce of alcohol is the treatment which is expected to cause a variation in the braking speed of the participants. Hence, alcohol intake is the independent variable while braking speed is the dependent variable.
The librarian at the Library of Congress has asked her assistant for an interval estimate of the mean number of books checked out each day. The assistant took a sample and found the mean to be 880 books. She provides the librarian with an interval estimate of between 790 and 970 books checked out per day. An efficient, unbiased point estimate of the number of books checked out each day at the Library of Congress is
Answer:
a. 880
Step-by-step explanation:
Options are "a. 880 b. 90 c. 790 d. None of these choices"
Interval estimate of between 790 and 970 books checked out per day.
Lower limit is 790, Upper limit is 970
Point estimate of μ(x) = [Upper limit + Lower limit} / 2
Point estimate of μ(x) = [970 + 790] / 2
Point estimate of μ(x) = 1760/2
Point estimate of μ(x) = 880
So, the efficient, unbiased point estimate of the number of books checked out each day at the New York City Public Library is 880.
Please help need this last one.
Answer:
10
Step-by-step explanation:
If you look at it closely you can see its a complete circle.... on the sides its 12 then as you go to the center the first one is ten and the dot is in the center which should make it 10.
Answer:
it's basically 10, both sides are equal
Step-by-step explanation: