Answer:
see explanation
Step-by-step explanation:
Given
f(x) = 60 × [tex]16^{x}[/tex]
x = 1 → f(1) = 60 × 16 = 960 ← bacteria present after 1 day
x = 2 → f(2) = 60 × 16² = 15360 ← bacteria present after 2 days
x = 3 → f(3) = 60 × 16³ = 245760 ← bacteria present after 3 days
need answer asap!!! pls help ?
Answer:
what is your problem
Step-by-step explanation:
[tex](2 + 6)(2 + 3)[/tex]
Answer:
40 because (8)(5)=40 when you add the numbers inside the parenthesis
Step-by-step explanation:
Look at my picture for the written work for ANOTHER method
To solve this problem, you use the method called FOIL.
F= multiply the FIRST terms
O= multiply the OUTTER terms
I= multiply the INNER terms
L= multiply the LAST terms
Please rate this the brainlist if this helped, thanks!
Answer:
[tex]40[/tex]
Step-by-step explanation:
[tex](2+6)(2+3)[/tex]
Solve brackets.
[tex](8)(5)[/tex]
Multiply.
[tex]=40[/tex]
What is the average rate of change of the function over the interval x = 0 to x = 6? f(x)=2x−1 3x+5 Enter your answer, as a fraction, in the box.
Answer:
-11
Step-by-step explanation:
Our function is 2x-13x+5
2x-13x+5= -11x+5 F(0)= 5 and F(6)= -11*6+5 = -61 let m be the average change : m= (-61-5)/6= -11If x ∥ y and y ∥ z, then _____
Answer:
x ║ z
Step-by-step explanation:
Lines parallel to the same line are parallel to each other.
x and z are both parallel to y, so are parallel to each other:
x ║ z
Find the missing side. Round your answer to the nearest tenth.
Answer:12.4
Step-by-step explanation:
hyp=16,opp=x
sin 51°=[tex]\frac{x}{16}[/tex]
cross multipy
sin 51° x 16 = x
x=0.7771 x 16
x≅12.4
how to simplify -8+5w=27
Answer:
w=7
Step-by-step explanation:
1. -8+5w=27
2. add 8 to both sides: 8+-8+5w=27+8
3. Simplify: 5w=35
4. Divide both sides by 5: 5w/5=35/5
5. w=7
Hope This Helps :)
Answer:
w = 7
Step-by-step explanation:
-8 + 5w = 27
Add 8 on both sides.
-8 + 5w + 8 = 27 + 8
5w = 35
Divide both sides by 5.
5w/5 = 35/5
w = 7
[tex](\sqrt{5})(\sqrt[3]{5})[/tex] answers [tex]6\frac{5}{6}\\5\frac{1}{6}\\5\frac{2}{3}\\5\frac{7}{6}[/tex]
Answer:
A : [tex]5^{\frac{5}{6} }[/tex]
Step-by-step explanation:
Because you're multiplying two numbers with the same base, you can add their exponents:
[tex]\sqrt{5} = 5^{\frac{1}{2} } = 5^{\frac{3}{6} } \\\sqrt[3]{5} =5^{\frac{1}{3} } = 5^{\frac{2}{6} }[/tex]
[tex]5^{\frac{3}{6} } * 5^{\frac{2}{6} } = 5^{\frac{5}{6} }[/tex]
What is the length of AC?
Answer:
16Option A is the right option
Step-by-step explanation:
BO is bisector of line AC
so,
AB=BC
AC=AB+BC
=8+8
= 16
Hope this helps...
Good luck on your assignment....
Answer:
16
Step-by-step explanation
BD is perpendicular bisector of AC so BC is 8.
8+8=16
what is the answer to the problem i need help with?
Answer:
C
Step-by-step explanation:
Recall the equation for a circle:
[tex](x-h)^2+(y-k)^2=r^2[/tex], where the center is (h,k) and the radius is r.
The given equation is:
[tex](x+5)^2+(y+7)^2=21^2[/tex]
Another way to write this is:
[tex](x-(-5))^2+(y-(-7))^2=21^2[/tex]
Thus, we can see that h=-5 and k=-7.
The center is at (-5, -7).
2. Write an equation of a line in slope-intercept form
that passes through a point (4,-6) and has a slope of -3.
Answer:
y = -3x+6
Step-by-step explanation:
The slope intercept form of a line is given by
y = mx+b where m is the slope and b is the y intercept
y = -3x +b
Substitute the point into the equation
-6 = -3*4+b
-6 =-12+b
Add 12 to each side
-6+12 =-12+12+b
6=b
y = -3x+6
Stacy goes to the county fair with her friends. The total cost of ride tickets is given by the equation c = 3.5t, where c is the total cost of tickets and t is the number of tickets. If Stacy bought 15 tickets, she would spend $
Answer:
She would spend $52.50.
Step-by-step explanation:
c = 3.5t
c = 3.5(15)
c = $52.50
Hope this helped! :)
Answer:
328.48
Step-by-step explanation:
5/6÷5=___
3/7÷6=___
5/8÷8=___
15/8÷5=___
Answer:
1/6
1/14
5/64
3/8
Step-by-step explanation:
Easiest and fastest way to evaluate these is to plug it into a calc.
Evaluate the expression ( 1 + 2 i ) ( − 2 − 1 i ) and write the result in the form a + b i .
Answer:
- 5i.
Step-by-step explanation:
( 1 + 2 i ) ( − 2 − 1 i )
= 1 * -2 + 1*-1i + 2i*-2 - 2i*1i
= -2 - i - 4i - 2i^2 i^2 = -1 so we have:
-2 - 5i +2
= 0 - 5i
= -5i.
Locate the point on the line segment between A(3, -5) and B(13, -15) given that the point is 4/5 of the way from A to B. Show your work.
Answer:
C ( 11 , -11 )
Step-by-step explanation:
Solution:-
We are given two points in the cartesian coordinate system as:
A ( 3 , -5 ) B ( 13 , -15 )
The point C lies on the line segment from A to B. The ratio of segment given is:
AC / AB = 4 / 5
To solve such type of problems. We will use vector equation of line AC.
To form a vector equation of line representing AB. We will first determine the direction vector ( d ) that is parallel to the line AB as follows:
d = OB - OA
d = < 13 , -15 > - < 3 , -5 >
d = < 10 , -10 >
The fixed point on the line is taken. We will take point A. The vector equation of line from point A to point B is expressed as:
< x , y > = OA + s*d
< x , y > = < 3, -5 > + s* < 10 , -10 >
The above equation satisfies all the points that lies on the line AB. To determine the coordinates of ( C ). We will plug in the appropriate value of parameter ( s ) and evaluate.
So point C is 4/5 th the magnitude of the distance AB from A. Hence, s = 4/5 as follows:
< x , y > = < 3 , -5 > + ( 4/5 ) * < 10 , -10 >
< x , y > = < 3 , -5 > + < 8 , -8 >
< x , y > = < 11 , -11 > ... Answer
Michelle, a student studying music, randomly sampled fellow music majors and asked whether they listen to music while they study. The resulting confidence interval for the proportion of music students who listen to music while studying is (0.09,0.26). What is the margin of error?
Answer:
The margin of error of this confidence interval is MOE=0.085.
Step-by-step explanation:
The confidence interval bounds are usually calculated from a sample statistic substracting (for the lower bound) or adding (for the upper bound) the margin of error. This margin of error depends on the confidence level, the standard deviation and the sample size.
Then, if the lower and upper bound are calculated this way, we can calculate the margin of error as:
[tex]LB=p-MOE\\\\UB=p+MOE\\\\UB-LB=(p+MOE)-(p-MOE)=2\cdot MOE\\\\\\MOE=\dfrac{UB-LB}{2}=\dfrac{0.26-0.09}{2}=\dfrac{0.17}{2}=0.085[/tex]
Help Please! First to answer will be marked as brainliest Find the solution to the system of equations. y=−5x+6 y=3x-2 x= y=
Answer:
y = 1 and x = 1
Step-by-step explanation:
We are given the equation y=−5x+6 and y=3x-2
because both of these equations have y on one side we can substitute the equation as
-5x+6 = 3x-2
(subtract 3x)
-8x+6 = -2
(subtract 6)
-8x = -8
(divide by -8)
x=1
Then all we need to do is put x into the equation
y=-5(1) +6
y = -5+6
y = 1
hey one more for my friend :)
Answer:
Third graph from the top
Step-by-step explanation:
A proportional relationship is a straight line that goes through the point (0,0)
Answer:
The third graphStep-by-step explanation:
The third straight graph, since a proportion is a relationship in which a second variable is changed by a same value all the time (linear).
Hope this helps, if not, tell me and I shall try again
Find the circumference of a circle with a radius of 15 centimeters. Round your answer to the nearest centimeter
Answer:
94 cm
Step-by-step explanation:
The formula for finding the circumference of a circle is;
Circumference = 2πr
where π = [tex]\frac{22}{7}[/tex] or 3.14 and
r = radius
Here radius is 15 cm so;
Circumference = [tex]2 * \frac{22}{7} * 15[/tex]
= [tex]\frac{660}{7}[/tex]cm
= 94.28cm
= 94 cm ( rounded to the nearest centimetre )
In October 1945, the Gallup organization asked 1,487 randomly sampled Americans, "Do you think we can develop a way to protect ourselves from atomic bombs in case other countries tried to use them against us?" Did a majority of Americans feel the United States could develop a way to protect itself from atomic bombs in 1945? Use the α = 0.05 level of significance.
Answer:
Yes. There is enough evidence to support the claim that the proportion of Americans feel the United States could develop a way to protect itself from atomic bombs in 1945 is significantly greater than 0.5.
Step-by-step explanation:
The question is incomplete:
In October 1945, the Gallup organization asked 1487 randomly sampled Americans, "Do you think we can develop a way to protect ourselves from atomic bombs in case other countries tried to use them against us?" with 788 responding yes. Did a majority of Americans feel the United States could develop a way to protect itself from atomic bombs in 1945? Use the α=0.05 level of significance.
This is a hypothesis test for a proportion.
The claim is that the proportion of Americans feel the United States could develop a way to protect itself from atomic bombs in 1945 is significantly greater than 0.5.
Then, the null and alternative hypothesis are:
H_0: \pi=0.5\\\\H_a:\pi>0.5
The significance level is 0.05.
The sample has a size n=1487.
The sample proportion is p=0.53.
[tex]p=X/n=788/1487=0.53[/tex]
The standard error of the proportion is:
[tex]\sigma_p=\sqrt{\dfrac{\pi(1-\pi)}{n}}=\sqrt{\dfrac{0.5*0.5}{1487}}\\\\\\ \sigma_p=\sqrt{0.000168}=0.013[/tex]
Then, we can calculate the z-statistic as:
[tex]z=\dfrac{p-\pi-0.5/n}{\sigma_p}=\dfrac{0.53-0.5-0.5/1487}{0.013}=\dfrac{0.03}{0.013}=2.288[/tex]
This test is a right-tailed test, so the P-value for this test is calculated as:
[tex]\text{P-value}=P(z>2.288)=0.011[/tex]
As the P-value (0.011) is smaller than the significance level (0.05), the effect is significant.
The null hypothesis is rejected.
There is enough evidence to support the claim that the proportion of Americans feel the United States could develop a way to protect itself from atomic bombs in 1945 is significantly greater than 0.5.
The table shows the results of a survey of 400 random people on whether they like liquid soap, bar soap, or both. A 4-column table with 3 rows. The first column has no label with entries bar, not bar, total. The second column is labeled liquid with entries 200, 80, 280. The third column is labeled not liquid with entries 100, 20, 120. The fourth column is labeled total with entries 300, 100, 400. Which is the marginal relative frequency for the people who do not like bar soap? StartFraction 100 Over 400 EndFraction StartFraction 120 Over 400 EndFraction StartFraction 280 Over 400 EndFraction StartFraction 300 Over 400 EndFraction
Answer:
The answer is A on edge 2020
Step-by-step explanation:
Answer: A
Step-by-step explanation:
What is equation represents Jakes situation
Answer:
the first one
Step-by-step explanation:
i assume they want to know how many cookies are in each box so you take the total number of cookies and divide by the number of boxes which is four so t/4 = b since they don't give you an amount of cookies
Answer:
t/4 = b aka the first one
Step-by-step explanation:
t/4 is the same as b
a lorry is travelling at 13.5 m/s along a road whereto speed limit is 50km/h. She that the lorry is travelling below the speed limit
Answer:
First, convert 13.5 m/s to km/hr
13.5 x 3.6 = 48.6 km/hr
This is below the speed limit of 50 km/hr
Answer:
48600/hour × 1/1000= 48.6km/h
Step-by-step explanation:
A palm tree is supported by two guy wires as shown in the diagram below. Which trig expression can be used to find the height on the tree where the top guy wire attaches if the base of the wire is four feet from the base of the tree? A sin (30° + 45°) B cos (75° – 45°) C tan (75° – 45°) D tan (30° + 45°)
Answer:
D. [tex]tan(30^\circ+45^\circ)[/tex] is the correct answer.
Step-by-step explanation:
The given situation can be represented as a figure attached in answer area.
B is the base of tree.
C is the base of wires.
A and D are the end of 2 wires supporting the tree.
[tex]\angle DCB =45^\circ\\\angle ACB =75^\circ\\[/tex]
Here, we need to find the Height of the tree which is represented the by side AB.
and we are given that bases of wires and tree base are at a distance 4 ft.
i.e. side BC = 4 ft
If we look at the [tex]\triangle ABC[/tex], we are given the base BC and the [tex]\angle ACB[/tex], and the perpendicular is to be find out.
We can use trigonometric identity:
[tex]tan\theta =\dfrac{Perpendicular}{Base}[/tex]
[tex]tan 75^\circ = \dfrac{AB}{BC}\\\bold {tan (45+30)^\circ }= \dfrac{AB}{4}\\\Rightarrow AB = \bold {tan (45+30)^\circ } \times 4 = 14.93\ ft[/tex]
Hence, D. [tex]tan(30^\circ+45^\circ)[/tex] is the correct answer.
Answer:
D
Step-by-step explanation:
Which of the following are exterior angles? Check all that apply.
Answer:<5 and <4 are exterior angles
Step-by-step explanation:
Because they are the only ones outside it they are the only ones that are exterior angles!
<!> Brainliest is appreciated! <!>
Answer:
for AL Its 3 and 4
What is the solution of 4x > 36?
Answer:
x > 9
Step-by-step explanation:
Simply divide both sides by 4:
4x/4 > 36/4
x > 36/4
x > 9
━━━━━━━☆☆━━━━━━━
▹ Answer
x > 9
▹ Step-by-Step Explanation
4x > 36
--- --- → x > 9
4 4
Hope this helps!
- CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
4(x+1)=16 HELP MEEEEEE
Answer:
4(x + 1) = 16
x + 1 = 4 (Divide equation by 4)
x = 3 (subtract 1)
Answer:
x = 3
Step-by-step explanation:
4(x + 1)=16
Expand the brackets.
4x + 4 = 16
Subtract 4 on both sides.
4x + 4 - 4 = 16 - 4
4x = 12
Divide both sides by 4.
4x/4 = 12/4
x = 3
how many are 5 x 5 ?
Kendra can make 120 soccer kicks in 3 minutes. Jovani can make 100 soccer kicks in 4 minutes. How long will it take them to make 1300 soccer kicks together?
The time it takes them to make 1300 soccer kicks together is 51 minutes
Let the number of soccer kicks be yLet the time taken be x
Writing this as a coordinate (x, y). If Kendra can make 120 soccer kicks in 3 minutes and Jovani can make 100 soccer kicks in 4 minutes, this can be written in a coordinate form as (3, 120) and (4, 100)
The standard linear equation is given as y = mx + b
Get the slope:
m = 100-120/4-3
m = -20/1
m = -20
Get the y-intercept:
Recall that y = mx + b
120 = -20(3) + b
120 = -60 + b
b = 180
The required equation is g(x) = -20x + 180
To determine the time it will take them to make 1300 soccer kicks together, substitute g(x) = 1300 and find "x"
1300 = -20x + 180
20x = 1200 - 180
20x = 1020
x = 51 minutes
Hence the time it takes them to make 1300 soccer kicks together is 51 minutes
Learn more on equations here: https://brainly.com/question/11408596
Which of the following are examples of statistical questions?
a
How many pairs of shoes do you own?
b
What types of music does the 6th grade like?
c
How many sodas do Jack and his friends drink in a week?
d
How many cats does Jack have?
The correct answers are B. What types of music does the 6th grade like? and C. How many sodas do Jack and his friends drink in a week?
Explanation:
Statistical questions are those that can only be answered by collecting and analyzing numerical data. This often implies gathering data from a group of individuals and using this to answer the question. Additionally, statistics questions are complex and do not have a direct or unique answer. In this context, the question "What types of music does the 6th grade like?" is statistical because to answer this, it is necessary to collect data from all students in 6th grade and analyze it. This occurs in "How many sodas do Jack and his friends drink in a week?" because it is necessary to know the number of sodas each person drinks in a week.
On the other hand, the questions "How many pairs of shoes do you own?" or "How many cats does Jack have?" are not statistical because it is not necessary to collect a lot of data to know the answer and they can be answered through only one number.
pls help me pls pls pls
Answer: 1x + 2y = 4
Step-by-step explanation:
The equation of the line is y = -1/2x + 2.
First, let's make 4 on one side of the equation. First, bring x to the left. y + 1/2x = 2. Then multiply the whole equation by two. Thus, 1x + 2y = 4.
Hope it helps <3