D
Step-by-step explanation:
I just took the test and I got it write
plzz helpp guys
At the beginning of an environmental study, a forest covered an area of 1500 km . Since then, this area has decreased by 2.4% each year. Lett be the number of years since the start of the study. Let y be the area that the forest covers in km². Write an exponential function showing the relationship between y and t.
Answer:
[tex]y = 1500(0.024)^t[/tex]
Step-by-step explanation:
Given
[tex]a = 1500km[/tex] -- initial area
[tex]b = 2.4\%[/tex] -- rate
[tex]t = time[/tex] --- (years)
Required
Represent as an exponential function
An exponential function has the form:
[tex]y = ab^t[/tex]
Where
[tex]a = initial\ value[/tex]
[tex]b = rate[/tex] and [tex]b \ne 1[/tex]
[tex]t= time[/tex]
Substitute values for a and b, we have:
[tex]y = 1500 * (2.4\%)^t[/tex]
Convert percentage to decimal
[tex]y = 1500 * (0.024)^t[/tex]
[tex]y = 1500(0.024)^t[/tex]
Hence, the exponential function that represents the scenario is: [tex]y = 1500(0.024)^t[/tex]
6th Grade Math! Can you please help?
Answer:it is c and d
Step-by-step explanation:
helllppppppppppppppppppppppp solve for x
Answer:
X+6 = 36 then find the ans
Day 1 is negative 4 dollars, day 2 is negative 2 dollars, day 3 is negative 3 dollars.
Sung borrowed money from his parents over the last three days. This is represented by the negative values in the table.
What is the total of the values?
What is the average of the values?
Answer:
-9 or $9 borrowed
$3 is the average
Step-by-step explanation:
-4 + -2 + -3 = -9
$9/3 days = $3
A shop will sell a mixture of almonds and cashews. Almonds cost $2.50 per pound and cashews cost $3.25 per pound. The shop will make 80 pounds of the mixture and sell it for $2.95 per pound. How many pounds of almonds should they use?
Answer:
32 pounds of almonds
Step-by-step explanation:
Let the number of pounds of almond be a while that of cashews be c
we want to make a total of 80 pounds
Thus;
a + c = 80 ••••••••(i)
Furthermore;
Let us work with the costs
Costs of a pounds of almonds will be ;
a * 2.5 = 2.5a
cost of c pounds of cashews
c * 3.25 = 3.25c
Total cost at which they sell will be 80 * 2.95 = 236
Thus;
3.25c + 2.5a = 236 •••••(ii)
From i, c = 80-a
Put this into ii
3.25(80-a) + 2.5a = 236
260-3.25a + 2.5a = 236
0.75a= 24
a = 24/0.75
a = 32
Rx: Ceftriaxone 500 mg IVPB in DSW 50 ml, infuse over 30 min q12h. The 2-g ceftriaxone vial states that if you reconsti- tute with 8.6 ml, the resulting final volume of the vial is 10 ml. a. How much diluent would be added to obtain a vial concentration of 1 g/10 mL? b. If the vial is diluted to 1 g/10 mL, how much drug would be drawn up for one dose? c. How many doses are available in one 2-g vial? d. How many vials would be needed to prepare a 7-day supply? e. If you were preparing a 7-day supply, how many 20-mL vials of sterile water would you need to reconstitute the ceftriaxone vials? f. If the 500-mg dose is added to DSW 50 ml, what is the total volume of one IVPB?
What is the range of the following numbers:
12,20,18,25,6
Answer:
19
Step-by-step explanation:
You need to find the biggest and smallest number; 25,6
Then you subtract 6 from 25
25-6=19
I hope this helps!!!!!!!
Answer:
19
Step-by-step explanation:
The range is the difference between the highest and the lowest number
So 6, 12, 18, 20, 25 and 25-6 = 19
What is the simplified form of
of (-7xº+5x²-x+6)-(-8x2 + x +3)?
ОА.
-x + 4x2 - x+3
OBX + 4x² - x+3
ocx - 4x² – 2-3
D. -15x + 6x? - X+9
Please I need help immediately
Note: Your answer choices remain a little unclear. But, I have solved the concept and solution, so you can easily figure it out.
Answer:
[tex]\left(-7x^0+5x^2-x+6\right)-\left(-8x^2+x+3\right)=13x^2-2x-4[/tex]
Step-by-step explanation:
Given the expression
[tex]\left(-7x^0+5x^2-x+6\right)-\left(-8x^2+x+3\right)[/tex]
solving the expression
[tex]=-7x^0+5x^2-x+6-\left(-8x^2+x+3\right)[/tex]
apply the rule: [tex]a^0=1,\:a\ne \:0[/tex]
[tex]=-7+5x^2-x+6-\left(-8x^2+x+3\right)[/tex]
[tex]=-7+5x^2-x+6+8x^2-x-3[/tex]
simplify
[tex]=13x^2-2x-4[/tex]
Therefore, the simplified form is:
[tex]\left(-7x^0+5x^2-x+6\right)-\left(-8x^2+x+3\right)=13x^2-2x-4[/tex]
Note: Your answer choices remain a little unclear. But, I have solved the concept and solution, so you can easily figure it out.
7 #3
Solve the following two equations. Show all of your
steps in the line paper provided. Be ready to share your
work!
Equation #1: 3x + 6 = x - 24
Equation #2: 10 – 2m = 16
Answer:
x = -15
m = -3
Step-by-step explanation:
3x + 6 = x - 24
subtract the x from both sides to make the unknown variable on only one side of the equation
2x + 6 = -24
subtract the 6 from both sides to focus on the x
2x = -30
now divide both sides by 2 to get the x by itself
x = -15
that's your answer
10 - 2m = 16
subtract the 10 from both sides to focus on the m
-2m = 6
now divide both sides by -2 to get the m by itself
m = -3
that's your answer
Please help please please ASAP
Answer:
choose the first one.
0.87
Answer:
Use your calculator
Step-by-step explanation:
Press the cos button COS( - should look like that... Then fill it out COS(30) make sure to add the closed parenthesis so you dont get an error. And then BAM you got your answer and dont have to look anymore up. XD
Please help this is due tomorrow help
Answer: $4.50
Step-by-step explanation:
6+6+3.5= 15.5 paid with a 20 so 4 dollars and 50 cents change
Answer:
Step-by-step explanation:
Since Aiden paid only the admission price not the skate rental price soo..
3.50 for himself and 6*2 =12 for his friends
3.50+12=15.50
20-15.50 = 4.50 in change :)
Which of the following expressions is equivalent to the logarithmic
expression below?
log4 (7/x^3)
A. 3 log4 7 - log4 x
O B. log4 7-3 log4 x
C. lo94 7 + 3 log4 X
D. 3 log4 7 + log4 X
Answer:
O B. log4 7-3 log4 x
[tex] log_{4}( \frac{7}{ {x}^{3} } ) \\ = log_{4}7 - log_{4}{x}^{3} \\ = log_{4}7 - 3 log_{4}x[/tex]
The expression equivalent to the logarithmic expression
log 4 (7/x^3) will be B. log4 7-3 log4 x
What is log ?
A logarithm is the power to which a number must be raised in order to get some other number
log 4 ([tex]\frac{7}{x^3}[/tex])
log 4.7 - log 4x^3 (log (a/b) = log a - log b
log 4.7 - 3 log 4x
correct answer is B. log4 7-3 log4 x
learn more about log
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Gerald read 6/7 of a book. Mary read 2/7 of the same book.
How much more of the book did Gerald read?
Answer:
4/7
Step-by-step explanation:
6/7-2/7=4/7
Answer:
I believe that the answer is 4/7
Modell’s sports store has a 30% off sale on all of its merchandise. How much is the discount on a baseball glove that originally costs $25?
In AWXY, WY is extended through point Y to point Z, m_YWX = (3x + 17)º
mZXYZ = (10.C – 5)°, and mZWXY (3x + 2)°. Find mZWXY.
Can someone answer this today please
Answer: 14
Step-by-step explanation:
which value for the constant c makes z =-5/4 an extraneous solution in the following equation?
[tex] \sqrt{4z + 9} = cz + 8[/tex]
Answer:
c=8
Step-by-step explanation:
The value of c that makes z = -5/4 an extraneous solution is c = 24/5.
What is the Linear equation?A linear equation is defined as an equation in which the highest power of the variable is always one.
The equation is given as:
√{4z + 9} = cz + 8
An extraneous solution is a solution that is not a valid solution to the original equation, but it is obtained during the process of solving the equation. In this case, the extraneous solution is z = -5/4.
To determine the value of c that makes z = -5/4 an extraneous solution, we can substitute -5/4 for z in the original equation. This gives us the following:
√{4 × -5/4 + 9} = -5/4 × c + 8
√{-5 + 9} = -5/4 × c + 8
√4 = -5/4 × c + 8
2 = -5/4 × c + 8
5/4 × c = 8 - 2
5/4 × c = 6
c = 6 × 4/5
c = 24/5
Therefore, the value of c that makes z = -5/4 an extraneous solution is c = 24/5.
Learn more about the equations here:
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x + 6 ≥ 4 and 3x + 5 ≤ 5
find the solutions of the quadratic equation 3x^2-2x+7=0
PLEASE ANSWER CORRECTLY!!
Answer:
Step-by-step explanation:
Divide. Write the quotient in lowest terms.
5 divide 3 1/3
Answer:
3/2 or 1 1/2
Step-by-step explanation:
5÷3 1/3
5/1 ÷ 10/3 because you have to get it into an improper fraction form in order to divide
5/1 × 3/10 because you have to multiply the first number by the reciprocal
5 and 10 cancel out so you would have 2 at the bottom
3/2 or 1 1/2
Simplify the following surd expressions
a)
[tex]7 \sqrt{3} - 2 \sqrt{3} + \sqrt{3} - 3 \sqrt{3} [/tex]
b)
[tex]5 \sqrt{7} + 4 \sqrt{7} - 8 \sqrt{7} [/tex]
Answer:
a) 3√3b) √7Step-by-step explanation:
a)
7√3 -2√3 + √3 - 3√3 =√3(7 - 2 + 1 - 3) =√3*3 =3√3b)
5√7 + 4√7 - 8√7 =√7(5 + 4 - 8) =√7*1 =√7what is equal to 18 tens
Answer:
180
Step-by-step explanation:
so if it is addition like I assume it is, you would do this:
18 +18 +18 +18 +18 +18 +18 +18 +18 +18
that is also equal to 18x10.
so 18 ten times. a simple trick for multiplying by ten is just adding a zero, so 18x10 is 180.
I THINK THIS IS RIGHT LOL
Hey there!
18 * 10
≈ 18 + 18 + 18 + 18 + 18 + 18 + 18 + 18 + 18 + 18
≈ 36 + 36 + 36 + 36 + 36
≈ 72 + 72 + 36
≈ 144 + 36
≈ 180
Therefore, the answer should be: 180
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Gavin is moving into a new ampartment that has a kitchen with an area of 50 square feet. If the area of the kitchen is 10 square feet more than 1 _ 3 the area of the bedroom, what is the area of gavin's bedroom?
Answer:
[tex]B =120[/tex]
Step-by-step explanation:
Given
Represent Kitchen with K and Bedroom with B.
So:
[tex]K = 50ft^2[/tex]
[tex]K = 10 + \frac{1}{3}B[/tex] --- 10 more than 1/3 of Bedroom area
Required
Determine the bedroom area
The expression of K and B has been determined above.
The next step is to substitute 50 for K in the second equaion
[tex]K = 10 + \frac{1}{3}B[/tex]
[tex]50 = 10 + \frac{1}{3}B[/tex]
Multiply through buy 3
[tex]3 * 50 = 3 * 10 +\frac{1}{3}B * 3[/tex]
[tex]150 = 30 +B[/tex]
Make B the subject
[tex]B =150 - 30[/tex]
[tex]B =120[/tex]
Hence, the area of the bedroom is 120ft^2
Answer:
120
Step-by-step explanation:
no explanation
Cory has a sister named Jessica. Jessica is 7
years older than twice Cory's age. Write an
expression that represents the relationship of
Jessica's age in terms of Cory's age, c.
Answer:
2c+7
Step-by-step explanation:
Jessica is 7 more than 2x Cory's age.
Given that Cory is c years old,
then Jessica is
2c+7
I hope this helps! :)
What is the area, in square feet, of the trapezoid below?
Answer:
68.75
Step-by-step explanation:
Measure the length of the parallel sides and add them together. Then multiply this number by the height of the area. Then multiply by ½ or divide by two to find the square footage of the trapezoid.
13.6 + 5.9= 19.5
19.5 + 8 = 27.5
27.5 x 5 = 137.5
137.5 x 1/2 = 68.75
Please help please please ASAP please please
Step-by-step explanation:
ac is the answer
.............
what is 41,250 written in scientific notation
Why is 41,250 written as 4.125 x 104 in scientific notation?
please help me on this!! will give u brainliest.
Directions: Solve for x.
1.
X
32
9
24
Answer:
x = 12
Step-by-step explanation:
set up a proportion:
24 = 32
33 32+x
24(32 + x) = 32(33)
768 + 24x = 1056
24x = 288
x = 12
Need help ASAP giving 35 points and giving a branliest
Answer:
B. 1 1/9 ft³Step-by-step explanation:
Sides of the prism:
2*1/3 = 2/3 ft3*1/3 = 1 ft5*1/3 = 5/3 ftVolume:
2/3*1*5/3 = 10/9 = 1 1/9 ft³What is the degree of the power function represented in the table
Answer:
2
Step-by-step explanation:
i took the quizz