Evaluate the exponential expression.
3•42
Answer:
48
Step-by-step explanation:
Trust me
Help with this question, not sure what the answer is
Answer:
3rd option
Step-by-step explanation:
The zeros ( where the graph crosses the x- axis ) are x = 3 and x = 7
The corresponding factors are then (x - 3) and (x - 7)
The equation is then
f(x) = a(x - 3)(x - 7) ← a is a multiplier
To find a substitute any point on the graph into the equation.
Using (8, 15 ) , then
15 = a(8 - 3)(8 - 7) = a(5)(1) = 5a ( divide both sides by 5 )
3 = a
Thus
f(x) = 3(x - 3)(x - 7)
Shape a and shape b are each made from four identical sqaures the perimeter of shape a is 56 cm work out shape b
Answer:
44.8 cm
Step-by-step explanation:
Given
See attachment for shapes
[tex]P_A= 56cm[/tex]
Required
The perimeter of B
Let the length of a side of the square that makes up A be, l.
So, we have:
[tex]P_A = 10 * l[/tex] --- because A is formed by 10 sides of l
[tex]56 = 10 * l[/tex]
[tex]l =\frac{56}{10}[/tex]
[tex]l =5.6[/tex]
The perimeter of B is:
[tex]p_B = 8*l[/tex] --- because B is formed by 8 sides of l
[tex]p_B = 8*5.6[/tex]
[tex]p_B = 44.8[/tex]
Sam, a researcher, and his team conduct a study to examine the effect of WakeMe, an energy drink, on intelligence levels of people in a small town. The people from this town are randomly divided into two equal, representative groups. Members of one group, Group MW, are made to drink WakeMe and then take an intelligence test. Members of the other group, Group NoMW, are made to drink plain water packaged in WakeMe bottles and then take an intelligence test. In this scenario, ______ is the control group and the ______ is the experimental group.
Answer:
Hence, In this scenario, __Group NoMW____ is the control group and the ___Group MW___ is the experimental group.
Step-by-step explanation:
The control group is the one which is not subjected to any testing situation or condition.
While the experimental group is the one which is subjected to testing condition.
Hence, In this scenario, __Group NoMW____ is the control group and the ___Group MW___ is the experimental group.
Date:
ASSIGNMENT: Wages and Salaries
1. Martha works as a window dresser in her hometown
of Victoria, BC. To finish a window at a local clothing
store, she charged $16.72 per hour. If it takes her
five hours to finish the window, how much will her
gross pay be for the job?
Lisa, Taryn, and Catherine go to a store to buy party supplies. The store has a sale on the supplies they want for 3_4 the original price. The girls agree to each pay 1_3 of the cost.
Answer:
1/4 of the cost
Step-by-step explanation:
Lisa, Taryn, and Catherine go to a store to buy party supplies. The store has a sale on the supplies they want for 3/4 the original price. The girls agree to each pay 1/3 of the cost. What fraction of the original price did each girl pay?
Discounted price = 3/4 the original price
Each girl agreed = 1/3 of the cost
Amount each girl paid = 3/4 * 1/3
= (3 * 1) / (4 * 3)
= 3 / 12
= 1/4 of the cost
Amount each girl paid = 1/4 of the cost
Amit and Aman have a water tank of 44 litres. Amit uses 3/4 part of the water in water
tank and Aman yses 1/4 part of the water and out the quantity of water used by
both also find who is using much water than other and by how much. (3)
Answer:
i dont know
Step-by-step explanation:
Select all expressions that at equivalent to the expression 3x + 5. A. 9x − (−5 + 6x) B. 9x − (5 − 6x) C. 9x − (6x + 5) D. 9x − (6x − 5) E. 9x − (−6x + 5)
Answer:
A. 9x − (−5 + 6x)
D. 9x − (6x − 5)
Step-by-step explanation:
Select all expressions that at equivalent to the expression 3x + 5.
To get our answer, we have to solve each option
A. 9x − (−5 + 6x)
= 9x + 5 - 6x
= 9x - 6x + 5
= 3x + 5
Option A is correct
B. 9x − (5 − 6x)
= 9x - 5 + 6x
= 9x + 6x - 5
= 15x - 5
Option B is wrong
C. 9x − (6x + 5)
9x - 6x - 5
= 3x - 5
Option C is wrong
D. 9x − (6x − 5)
= 9x - 6x + 5
= 3x + 5
Option D is correct
E. 9x − (−6x + 5)
= 9x + 6x - 5
= 15x - 5
Therefore, Option A and D are the correct options with the right expressions
Someone plz help me!
Answer:
56.25 cm
Step-by-step explanation:
your teacher wrote the approach already : the law of sines.
in our example we have
sin(28)/27 = sin(102)/c
c×sin(28)/27 = sin(102)
c×sin(28) = 27×sin(102)
c = 27×sin(102)/sin(28) = 27×0.98/0.47 = 56.25 cm
Darla is painting a mural. She needs to paint a rectangular stripe that measures 1 half yard by 6 yards. Which is the area of the stripe?
Answer:
3 yards^2
Step-by-step explanation: Area of a rectangle=Length*Width. 6 yards*0.5 yards=3 yards^2
The breakdown of a sample of a chemical compound is represented by the function p(t) = 500 (0.25)^t, where p(t) represents the number of milligrams of the substance and t represents the time. In years. In the function p(t), explain what 0.25 and 500 represent.
Given:
The function is:
[tex]p(t)=500(0.25)^t[/tex]
Where p(t) represents the number of milligrams of the substance and t represents the time.
To find:
The correct explanation for the number 0.25 and 500 in the given function.
Solution:
The general exponential function is:
[tex]y=ab^x[/tex] ...(i)
Where, a is the initial value and b is the growth/decay factor. If [tex]0<b<1[/tex], then decay factor and if [tex]b>1[/tex], then growth factor.
We have,
[tex]p(t)=500(0.25)^t[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]a=500[/tex], it means initial there are 500 milligrams of the substance.
[tex]b=0.25[/tex], this value is less than 1, it means the substance is decreasing by a factor of 0.25.
Therefore, 0.25 means the substance is decreasing by a factor of 0.25 and 500 means the initial value of substance is 500 milligram.
When completely factored, 2x3 - 200x
equals-
Answer:
Step-by-step explanation:
The only way this can be factored is by pulling out the GCF. 2 and x are common to both terms:
[tex]2x(x^2-100)[/tex]
BUT you should also recognize that what's inside the parenthesis is the difference of perfect squares. And that factors to
(x - 10)(x + 10). So the complete factorization is
2x(x - 10)(x + 10)
Phillipa says that ( 27 − 9 ) × 3 ÷ 9 + 18 = 42 . Is she correct? If not, what is the correct answer? A. She is correct. B. She is not correct. The correct answer is 2. C. She is not correct. The correct answer is 24. D. She is not correct. The correct answer is 26.
(27-9) x 3 / 9 + 18 = 42
Follow order of operations: parentheses first:
18 x 3 / 9 + 18 = 42
Next is multiplication and division in order from left to right:
18 x 3 = 54
54/9 = 6
Now you have 6 + 18 = 24
24 does not equal 42 so Phillipa is not correct.
The answer is C. She is not correct. The correct answer is 24
Answer:
answer=she is not correct
Step-by-step explanation:
(27-9)*3÷9+18
18*3÷9+18
18*1/3+18
18/3+13
6+13
19
use BODMAS rule (Bracket Of Division Multiplication Addition And Subtraction)
ayuda porfavor es urgente
Find the median of 2,4,4,8
Answer:
4
Step-by-step explanation:
First, the numbers should be in ascending or descending order . Since, 4 numbers are in ascending order we don't have to do that .
Second, find the "middlest" of them . If there were total of odd numbers it would have been easier but, here is total of even number(4) and mean of 2 middlest number would be its median: (4+4)/2=4 .
Prove that 7 root 3 is an irrational number.
Step-by-step explanation:
because it has decimal values, the number is irrational
Help plz..And No links!! I repeat No links!!
Help pls and thank uu
Answer:
f(- 4) = - 4
Step-by-step explanation:
f(- 4) with x = - 4 gives f(- 4) = - 4
Can someone pls help
Does anybody know it
so sánh căn 3+ căn 2 và căn 2 + căn 6
Answer:
13 is the correct answer
Answer:
Step-by-step explanation:
căn 2 + căn 6 lớn hơn
anyone help? Math infinite series
Which of the following infinite geometric sequences will have a related convergent series?
{16, 20.8, 27.04, 35.15,…}
{44, 44, 44, 44, …}
{5, 6, 7.2, 8.64,…}
(120, 96, 76.8, 61.44...)
=====================================================
Explanation:
A sequence is simply a list of values. There may or may not be a pattern to the list, though usually in a math class your teacher would use a pattern.
A series is where we add partial sums of a certain sequence to form a new sequence. For example, let's say A = {44, 44, 44, ...} is one sequence and we could form a list of partial sums to be B = {44, 88, 132, ...} The 88 is from adding the first two terms of sequence A together. The 132 is from adding the first three terms of sequence A. This process is continued forever.
For a series to be convergent, the terms must approach some finite single value. They likely won't actually reach this value but they should get closer and closer (think of it like an asymptote). When I formed series B shown above, note how the terms keep growing. It turns out they won't stop growing either and that means the series diverges to positive infinity. So we rule out choice B. The same happens for choices A and C as well.
To make sure the series approaches some finite value, the underlying sequence its based on must have the terms approaching 0. Choice D seems to have this happen. The terms of the sequence are getting smaller and smaller. Adding on smaller pieces will produce terms in a series that would likely get us closer to some finite target.
Keep in mind that not all decreasing sequences have a converging series. A famous example would be the harmonic sequence {1, 1/2, 1/3, 1/4, ...} which its series does not converge. The proof of this lengthy so I'll leave it out.
In the case of choice D, it is a geometric sequence with a = 120 as the starting term and r = 0.8 as the common ratio. The series converges to
S = a/(1-r) = 120/(1-0.8) = 600
Evaluate the expression for the given value. 3x(x−2), when x=7 please help just give me the straight answer im failing and my mom will kick me ouit she aubuses me hellllp
[tex]\longrightarrow{\blue{105}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex]3x \: (x - 2)[/tex]
Plugging in the value [tex]x\:=\:7[/tex] in the above expression, we have
➺ [tex] \: 3 \times 7 \: (7 - 2)[/tex]
➺ [tex] \: 3\times 7 \: (5)[/tex]
➺ [tex] \: 3 \times 35[/tex]
➺ [tex] \: 105[/tex]
Note:-[tex]\sf\purple{PEMDAS\: rule.}[/tex]
P = Parentheses
E = Exponents
M = Multiplication
D = Division
A = Addition
S = Subtraction
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]
Larry puts $4250 in an account for 8 years, compounded quarterly, at 4.5% interest (APR). How much will he have at the end?
Answer:
6,079.42
Step-by-step explanation:
FV = P (1 + r / n)^Yn
P is the starting principal, r is the annual interest rate, Y is the number of years invested, and n is the number of compounding periods per year. FV is the future value, meaning the amount the principal grows to after Y years.
the triangles are similar, what is the value of x?
Two triangles that intersect at a single vertex. The smaller triangle has an upper angle measuring 126 degrees and the angle where the vertices intersect measuring 16 degrees. The larger triangle has an upper angle measuring 126 degrees. The exterior angle made where the triangles intersect above the point of intersection measures 3 x degrees.
x = 16
x = 38
x = 42
x = 54
Answer:
I think it would be 42. If its wrong I'm sorry
Which equation represents a line that passes through (-9, -3) and has a slope of -6?
Answer:
below
Step-by-step explanation:
that is the procedure above
6. Fill in the blanks:
integer
(i) O is greater than every
integer
(ii) Every negative integer is less than every
(iii) For any two positive integers a and b, if a <b, then -a. -b
(iv) Modulus of a negative integer is always
(u) The largest negative integer is
(vi) The smallest positive integer is
Answer:
O is greater than every
integer
PLEASE HELPP
use the spinner to find the odds in favor of stopping on a multiple of 6
Another fairly simple one, pretty much a free Brainliest and 30 points.
Answer:
Solution given:
[tex]8\frac{7}{12}-3\frac{1}{3}=\frac{8*12+7}{12}-\frac{3*3+1}{3}[/tex]
=[tex]\frac{103}{12}-\frac{10}{3}[/tex]
taking lcm
=[tex] \frac{103-10*4}{12}=\frac{63}{12}=\frac{21}{4}=5\frac{1}{4}[/tex]
Answer:
5 1/4
Step-by-step explanation:
8 7/12 - 3 1/3
We need to get a common denominator of 12
8 7/12 - 3 1/3 *4/4
8 7/12 - 3 4/12
5 3/12
Simplifying the fraction
5 1/4
One number is 16 more than the other and their average is 60. The numbers are *
Answer:
68
Step-by-step explanation:
Let The first number = X
& the Second one = X + 16
Sum of these two numbers = 120
X + X + 16 = 120
2X = 120 - 16
2X = 104
X = 52
So , the first number = 52
& Second one = 52 + 16 = 68
Answer:
The numbers are 52 and 68.
Step-by-step explanation:
Let x be the first number and y be the second. The question tells us that:
1) x = y + 16
2) (x + y) / 2 = 60
2 equations, 2 unknowns. Solve the system. Plug equation 1 into equation 2:
(y + 16 + y) / 2 = 60
2y + 16 = 120
y + 8 = 60
y = 52
Now plug the value of y back into either original equation. I'll use the first:
x = 52 + 16
x = 68
