Given:
The insect population function is:
[tex]f(x)=10(2)^x[/tex]
Where x is the number of weeks.
To find:
The population after 4 weeks.
Solution:
The population of insect after x weeks is given by:
[tex]f(x)=10(2)^x[/tex]
We need to find the population after 4 weeks.
After substituting [tex]x=4[/tex], we get
[tex]f(4)=10(2)^4[/tex]
[tex]f(4)=10(16)[/tex]
[tex]f(4)=160[/tex]
The population after 4 weeks is 160. Therefore, the correct option is C.
Can anyone please help me to do this with steps
9514 1404 393
Answer:
x = 45°
Step-by-step explanation:
We presume you want the measure of angle x.
Long arc BAD is intercepted by inscribed angle BCD and by inscribed angle BDE. Hence angle BDE has the same measure as angle BCD.
x + 70° = 115°
x = 45° . . . . . . subtract 70°
_____
It doesn't matter where point C is on short arc BD—the measure of angle C is the same regardless. This is still true even if point C moves to be on top of point D, so that angle BCD and angle BDE are indistinguishable.
% of $10 = $3
help pls
Answer:
30%
Step-by-step explanation:
3/10=30/100 and 30/100 is the same as 30%
because %'s mean out of 100 so 30% means 30 out of 100 which can be simplified to 3 out of 10 or 3/10 (so its all equal)
Answer:
3%
Step-by-step explanation:
The manager at a grocery store took a survey to determine the price of milk at 10 other stores in the area. The prices are
shown in the table.
$2.99 $3.19 $3.29 $2.99 $3.19
$2.79 $2.89 $2.99 $2.99
$2.99
The price of milk at another grocery store is $4.49. What does this outlier do to the data?
OA. It skews the data to the right.
OB. It increases the mode.
O C. It increases the median.
O D. It decreases the interquartile range
Answer:
A it skews the data to the right
Step-by-step explanation:
A
please please help please please help please please help please please help please please help
Boris starts to use the standard algorithm to solve 86\times986×986, times, 9. His work is shown below.
\begin{aligned} \overset{\blueD{y}}8\overset{}6&\\ \underline{{} \times \phantom{~~~~} 9}&\\ 4& \end{aligned}
Answer:
5
Step-by-step explanation:
You have to do 6×9 first and since that is a two digit number (gives 54), you have to bring the 5 up to the top in the place of y and add that to the product of the next two numbers you multiply.
Write an equation and solve.
How opd am I if 400 reduced by 2 times my age is 244?
Answer:
78
Step-by-step explanation:
x = your age
400 - 2x = 244
subtract 400 from both sides of the equation:
-2x = -156
divide both sides by -2:
x = 78
Answer: 78
Step-by-step explanation:
x = your age
400 - 2x = 244
subtract 400 from both sides of the equation:
-2x = -156
divide both sides by -2:
x = 78
In the triangle below, which equation can be used to solve for x?
Answer:
file?
Step-by-step explanation:
Debbie borrows $45, and then pays $5 back each week. She currently owes $20. What will the variable stand for?
Answer:
The variable would stand for the number of weeks that she has left to pay.
Answer: 12
Step-by-step explanation:
What is the area of this regular polygon?
Answer:
A=25√3 cm^2
Step-by-step explanation:
Since it is a regular triangle, all sides are equal to 10cm. The dotted line is a perpendicular bisector, which means that it seperates the triangle into two perfect halves. So a right triangle is formed. The bottom of the right triangle will be half of 10, and 10/2=5. So to find the missing side, use the pythagoreom theorem.
5^2+x^2=10^2
25+x^2=100
x^2=75
x= 5√3
The height of the triangle is found, so apply the formula for area:
A=1/2*5√3*10
A=25√3
Add. Write your answer in simplest form. 3/8+2/5
Answer:
31/40
Step-by-step explanation:
it cannot be simplified any further
Answer:
3/4
Step-by-step explanation:
First, you have to find a common demenator between the fractions, you can do this by multiplying the denomenators together, 8 * 5 is 40
Next, you have to multiply the first fraction by 5/5 and the second fraction by 8/8 and now you have 15/40 + 16/40, and now that the fractions have the same denomenators you can just add the numerators
And you get 30/40, which can be reduced to 3/4 by diviging both the numerator and denomenator by 10
hurryy pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
does anybody know the answer?
Joey buying a new couch for his living room The couch costs 379.00 He has a choice of using a coupon for 5 % off before taxes , getting a rebate of $ 20 after taxes , or getting a discount of $ 18 before taxes If the sales tax rate is 8 % , which option is the better deal
Evaluate whether the value makes a true or false statement.
-16 < b-8, if b = -8
a. True
B) False
Answer:
False they would be equal
Step-by-step explanation:
At the beginning of a snowstorm, Nathaniel had 5 inches of snow on his lawn.
The snow then began to fall at a constant rate of 1.5 inches per hour.
Assuming no snow was melting, how much snow would Nathaniel have on his
lawn 5 hours after the snow began to fall? How much snow would Nathaniel
have on his lawn after t hours of snow falling?
Snow after 5 hours:
Show after t hours:
Answer:
In 5 hours he would have 7.5 inches of snow JUST from the snowstorm but the question says that he already had 5 inches in his lawn so that would make 12.5 inches of snow in 5 hours.
The second one says t, it doesn't state a number so lets assume the number is ten. So that's 5 more hours of constant snowfall, this makes our total be the sum of 12.5+7.5. This is equal to 20.
10 hours into the snowstorm Nathaniel had 20 inches of snow in his lawn.
Consider a brainliest if it helps :)
Answer:
Snow after 5 hours = 12.5
Show after t hours= 1.5t+5
Step-by-step explanation:
This is for math class. Help me plz. Need this done by today mid-night.
Please answer help asap
Answer:
[tex]∠ACB=40°[/tex]
Step-by-step explanation:
Given:-[tex]∠APB=80°[/tex]
According to question:-[tex]=>∠APB= 2×∠ACB[/tex]
[In Circle, the angle subtend at the centre is double angle subtend at the circumference.]
[tex]=>80° = 2× ∠ACB[/tex]
[tex]=>∠ACB=\frac{80°}{2}[/tex]
[tex]=>∠ACB=40°[/tex]
What angle pair is pictured?
1)Alternate lantern angles
2)corresponding angles
3)same-side interior angles
4)Alternate exterior angles
Step-by-step explanation:
Alternate and corresponding angles.
Answer:
corresponding angles
Step-by-step explanation:
it has six points
it is a corresponding angles
simplify
rewrite the expression in the form a^n
The art club is designing a rectangular mural for the school hallway. Three corners are located in a coordinate plane at the following locations: (–1, –1), (–1, 1), and (4, 1).
What is the ordered pair for the fourth corner?
Answer:
That fourth ordered pair is (4, -1)
Step-by-step explanation:
A rectangle is a set of permutations of x and y
x can either be -1, or 4
y can either be -1, or 1
the only one missing from this set is (4, -1)
please factor -28c-12c²-16
Answer:
-4(3c + 4)(c + 1)
Step-by-step explanation:
Reorder the expression
-12c² - 28c - 16
Divide it by -4
3c² + 7c + 4
Factor it by multiplying a (3) and c (4), then finding 2 factors that add up to b (7)
Two factors of 12 that add up to 7 are 4 and 3.
Use 4c and 3c to substitute for 7c in the expression, and simplify
3c² + 7c + 4
3c² + 3c + 4c + 4
3c(c + 1) + 4(c + 1)
(3c + 4)(c + 1)
Since we factored out a -4 in the beginning, add this in front
-4(3c + 4)(c + 1)
The Garys have a triangular pennant of area 420 in(squared)flying from the flagpole in their yard. The height of the triangle is 10 in less than 5 times the
base of the triangle. What are the dimensions of the pennant?
Answer:
The answer is given below:
Step-by-step explanation:
The computation of the dimension of the pennant is shown below:
As we know that
Area of the triangle = 1 ÷ 2 × base × height
where
x represents the base of the traingle
h represent the height that should be (5x - 10)
Now according to the above formula
420 = 1 ÷ 2 × x × (5x - 10)
840 = x(5x - 10)
840 = 5x^2 - 10x
5x^2 - 10x - 840 = 0
5(x^2 - 2x - 168) = 0
x^2 - 2x - 168 = 0
x^ - 14x + 12x - 168
x (x - 14) + 12(x - 14)
(x + 12) (x - 14)
So, here x = 14
Now height would be
= 5(14) - 10
= 60 inches
Mary made two 8 ounce drinks each in a separate cup. The first cup has 4 ounces f coffee and four ounces of milk. The second cup has 6 ounces of coffee and 2 ounces of milk. After she stirred the two drinks really well, she took out a third cup that was empty. She poured 2 ounces from the first cup ad 4 ounces from the second cup into the third cup. How many ounces of coffee are in the third cup
Answer:
6 ounces
Step-by-step explanation:
First cup = 4 ounces of coffee + 4 ounces of milk
= 8 ounces drink
Second cup = 6 ounces of coffee + 2 ounces of milk
= 8 ounces drink
She poured 2 ounces from the first cup and 4 ounces from the second cup into the third cup.
Third cup = 2 ounces from the first cup + 4 ounces from the second cup
= 2 + 4
= 6 ounces drink
Ounces of coffee are in the third cup = 6 ounces
Plz help I need it!!!!!!!!!!!!
Answer:
114°
Step-by-step explanation:
[tex]? = \frac{1}{2} (53 \degree + 175 \degree) \\ \\ ? = \frac{1}{2} \times 228 \degree\\ \\ ? = 114 \degree[/tex]
Exercise
1
Solve the inequality
of these equation
pretty please
Answer:
y<6
Step-by-step explanation:
1 /3 y + 1/4 > 3 /8y
1 /3 y + 1/4 − 3/ 8 y > 3/ 8 y − 3/ 8 y
− 1 /24 y + 1 4 > 0
−1 /24 y + 1 /4 − 1/ 4 > 0 − 1 /4
−1 /24 y > −1/ 4
Multiply both sides by 24/(-1).
y<6
Please mark as brainliest
Have a great day, be safe and healthy
Thank u
XD
Find the value of x that makes the equation true.
2[x + (2 1/2 + 2x )] = -3 (x - 1 ) + 9
Answer:
x = 7/9 or 0.78 as a decimal
Step-by-step explanation:
have a nice day!! :)
Tyler will dog sit for a fee of $16 then $4 for each hour, Katie will dog sit for a fee of $12 then $6 per hour. After how many hours (x) will Tyler and Katie charge the same amount (y)?
can you tell me the steps to follow in order to solve this plz.
Answer:
4 hours
Step-by-step explanation:
Because 12 by 8 =96$ and 16 by 6 is equal to 96 too
Solve the practice problems
For points!!!
Answer:
A. 1.25$
B. 1.75$
C. i.dk s.rry
D. 5.0625
E. i dont know
Step-by-step explanation:
Step-by-step explanation:
a. if $5=4
??=1
if less more divide
¼*5
=$1.25
b. $3.5=½
??=1
if more less divide
$3.5*2=
$7
c. $8.25=3/2
??=1
if less more divide
1*⅔*$8.25
= $5.5
d. $6.75=¾
??=1
if more less divide
4/3*6.75
=$9
e. $5.50=25/4
??=1
if less more divide
4/25*5.5
=$0.88
WHAT IS THE WHOLE FOR 3 3/4 PLEASE HELP ME
Answer:
15/4
Step-by-step explanation:
Find the measure of x if the measure of arc DC= 95 degrees
Answer:
190 I think, if that’s one of your answer choices.
Step-by-step explanation:
The measure of x if the measure of arc DC= 95 degrees is: 47.5.
Measure of arc DCBased on the diagram, since the angle is half of the arc in order to determine the measure of x will would divide 95 degree by 2 .
Hence:
Measure of x= 95/2
Measure of x= 47.5
Inconclusion the measure of x if the measure of arc DC= 95 degrees is: 47.5.
Learn more about measure of arc DC here:https://brainly.com/question/15401736
Find the value of x in the figure shown.
Answer:
x=17
Step-by-step explanation:
39+3x=90
minus 39
3x=51
divide by 3
x=17