Answer:
16p
Step-by-step explanation:
23p-7p
Factor out p.
p(23-7)
Subtract the terms.
p(16)
Multiply.
= 16p
Due to conservation efforts, the gray wolf has been removed from the endangered species list. There are now 25,000 in the world, and the population is excepted to grow by 15% yearly. Write an equation that models this scenario.
3,750 yearly
Step-by-step explanation:
25000 wolves x 15% yearly =
25000 + 3750 yearly = 28750 1st year account
Answer:
D
Step-by-step explanation:
Multiply 3x(2x-1) by following these steps
Answer:
[tex]6x^2-3x[/tex]
Step-by-step explanation:
[tex]3x(2x-1)[/tex]
[tex]3x(2x)+3x(-1)[/tex]
[tex]6x^2+-3x[/tex]
After apply distributive property, required solution is,
⇒ 6x² - 3x
We have tp given that,
An expression to simplify,
⇒ 3x (2x - 1)
We can simplify it by distributive property,
⇒ 3x (2x - 1)
⇒ 3x × 2x - 3x × 1
⇒ 6x² - 3x
Therefore, The required solution is,
⇒ 6x² - 3x
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Given that R = 8 x + 4 y Find y when x = 8 and R = 30 Give your answer as an improper fraction in its simplest form.
Answer:
25/8
Step-by-step explanation:
Given That:
R = 8x+4y
X= 8
R = 30.
So, 8 x 8 +4y = 30
Simplify, Rearrange and solve.
64 + 4y = 30
4y = 30/64 = 15/32
y = 15/32 divided by 4
y = 15 / 32 x 1/4
y = 15/(32 x 4) = 15/128
hope this helps
Rohit visited a pumpkin patch with his family. The table shows the relationship between the weight and price of a pumpkin.Isosceles triangle LMN is graphed with vertices L(0, 1), M(3, 5), and N(6,1). What is the slope of side LN?
Answer:
5
Step-by-step explanation:
Work Shown:
L = (0,1)
N = (6,1)
m = slope of LN
m = (y2-y1)/(x2-x1) is the slope formula
m = (1-1)/(6-0)
m = 0/6
m = 0
Points L and N are on the same horizontal level, so line LN is horizontal and completely flat. We can see this by noting the y coordinates are both the same. All horizontal lines have a slope of 0 to indicate no change in y value (ie, no change in rise; no increase nor decrease)
HELP! URGENT PLEASE!
Answer: -7
Step-by-step explanation:
-3 is across from -7 on the chart, so -7 is the x that houses with the f(x) -3
Find square root of the following numbers by long division method
1).2025
Answer:
Hope this helps. Good luck
Step-by-step explanation:
How do the surface area and volume of a sphere differ in the label of the answer? a. The volume of a sphere is expressed in square units and the surface area of a sphere is expressed in cubic units. c. The volume and surface area of a sphere are both expressed in cubic units. b. The volume of a sphere is expressed in cubic units and the surface area of a sphere is expressed square units. d. The surface area of a sphere cannot be determined because a sphere is a round shape. Please select the best answer from the choices provided
Answer:
B. The volume of a sphere is expressed in cubic units and the surface area of a sphere is expressed square units.
Step-by-step explanation:
PLZZZZZZ HLPPPPP MEEEEEEE how could you find the y coordinate of the midpoint of a vertical line segment with endpoints at (0, 0) and (0, -12)?
CHECK ALL THAT APPLY
A. add the endpoints B. divide 12 by 2 C. divide -12 by 2 D. multiply -12 by 2
Answer:
A. Add the endpoints
C. Divide -12 by 2
Step-by-step explanation:
To find the midpoint of the vertical line segment with endpoints (0, 0) and (0, -12).
Step 1: Add the endpoints (y-coordinates)
0+-12=-12
Step 2: Divide -12 by 2
-12/2=-6
Therefore, the y-coordinate of the midpoint of a vertical line segment is -6.
Options A and C are correct.
Can you Help me plz!!
Answer:
1) 5.9
2) 8.1
3) 54
Step-by-step explanation:
A is opposite, so we have sine 36=a/10
sine 36(10)=a
a=5.9
B is adjacent, so we have cosine 36=b/10
cosine 36(20)=b
b=8.1
Angles of a triangle add to 180
we have a angle of 36 and a right angle which is 90
36+90=126
180-126=54
i have 5 cards, the first says 2, the fifth says 18, what are the second, third and forth numbers?
Answer:
second card = 4 third card = 10 fourth card = 14
Step-by-step explanation:
1.To find the third card:18+2=20
20÷2=10.
2.To find the second card:10-2=8
8÷2=4
3.To find the fourth card:10+4=14
Any answers thank youuuu
Answer:
[tex]g =7^{2} -w^{2}[/tex]
Step-by-step explanation:
[tex]w = 7 -\sqrt{g} \\re arrange\\\sqrt{g} = 7-w\\square both side\\\sqrt{g}) ^{2} =(7-w)^{2} \\g = 7^{2} -w^{2}[/tex]
A sum of rs. 4000 is invested at a rate of 8% of compound intrest at 1st year and 10% at 2nd year. Find the sum of both the years. (Pls write the answer with steps and formulas). It's urgent
Answer:
The sum after the second year is rs.4752
Step-by-step explanation:
The interesting thing about solving for compound interest problems is understanding that the principal changes every year.
To solve this problem, we will break it into two years and solve for each year, so we can obtain the final sum to be paid at teh end of the second year.
Please note:
P = principal {the original sum invested}
R = rate of interest.
T= time required to pay back
Sum after the First Year:
Interest = [tex]\frac{P \times R \times T}{100}=\frac{4000 \times 8 \times 1}{100}=320[/tex]
Therefore his money after the first year is got by adding the interest of 320 to the initial principal which will givers. 4320.
After the first year, the money that will be used to calculate the new interest paid will be this rs.4320 obtained at the end of the first year.
Sum after the second Year
Interest =[tex]\frac{P \times R \times T}{100}=\frac{4320 \times 10 \times 1}{100}=432[/tex]
Sum = 4320+432 = rs.4752
Hence, the sum after the second year is rs.4752
Soda is sold in aluminum cans that measure 4.83 inches in height and 2.6 inches in diameter. What is the volume? Use 3.14 for pi and round to the hundredths place.
Answer:
4.83*2.6=45
Step-by-step explanation:
The volume of the cylindrical soda can is 25.64 cubic inches.
What is volume?Volume is defined as the space occupied by any object in the three-Dimensions. For the cylinder, we need the diameter and the height of the cylinder.
The volume will be calculated as:-
V = ( π / 4 ) d²l
We have d = 2.56 inches and h = 4.83 inches
V = ( π / 4 ) x ( 2.56 )² x ( 4.83)
V = 25.64 cubic inches.
Hence, the volume is 25.64 cubic inches.
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Rosa and her brother worked landscaping jobs last summer. Rosa earned $8 more than twice the amount earned by her brother. If their earnings totalled $71, how much did Rosa earn? NEED AN ANSWER
3.
Reasons
Statements
MNOP is a parallelogram
N
PM || ON
M
Given:
Alternate Int. Zs Thm,
MNOP is a parallelogram
MN II PO
Alternate Int. Zs Thm,
Prove:
PM = ON
(For this proof, use only the
definition of a parallelogram;
don't use any properties)
HE
Answer:
3. [tex]\overline{PM}\cong \overline{ON}[/tex] Distances between two parallel lines [tex]\overline{MN} \ and\ \overline{PO}[/tex]
4. [tex]\overline{AC}[/tex] = [tex]\overline{CE}[/tex]: Reason; Corresponding part of ΔACB and ΔDCE
C is the midpoint of [tex]\overline{AE}[/tex]: Reason; [tex]\overline{AC}[/tex] = [tex]\overline{CE}[/tex]: Definition of midpoint
Step-by-step explanation:
3. A parallelogram is defined as a quadrilateral with two opposite sides equal and parallel and having equal opposite interior angles
MNOP is a parallelogram: Reason; Given
[tex]\overline{PM}\left | \right |\overline{ON}[/tex] : Reason; Opposite sides of a parallelogram
∠NOM ≅ ∠OMP: Reason Alternate interior angles
[tex]\overline{MN}\left | \right |\overline{PO}[/tex]: Reason; Opposite sides of a parallelogram
∠NMO ≅ ∠MOP: Reason Alternate interior angles
[tex]\overline{PM}\cong \overline{ON}[/tex] Distances between two parallel lines [tex]\overline{MN} \ and\ \overline{PO}[/tex]
4. [tex]\overline{AB}\left | \right |\overline{DE}[/tex] : Reason; Given
∠EAB ≅ ∠AED: Reason; Alternate int. ∠s Thm
∠ABC ≅ ∠EDB : Reason; Alternate int. ∠s Thm
C is the midpoint of [tex]\overline{BD}[/tex]: Reason; Given
[tex]\overline{BC}[/tex] = [tex]\overline{CD}[/tex]: Reason; Definition of midpoint
Therefore, ΔACB ≅ ΔDCE: Reason Angle Angle Side (AAS) Theorem
[tex]\overline{AC}[/tex] = [tex]\overline{CE}[/tex]: Reason; Corresponding part of ΔACB and ΔDCE
C is the midpoint of [tex]\overline{AE}[/tex]: Reason; Definition of midpoint
Need answer ASAP TY.............................
Answer:
sin(g) = x/z
Step-by-step explanation:
Sine is opposite over hypotenuse. Our opposite is x and our hypotenuse is z. Therefore, our answer is sin(g) = x/z
There are 39 students.The number of students that play football is twice as much as the number of students that play volleyball.9 students play both sports.WHAT IS THE NR OF STUDENTS THAT ONLY PLAY FOOTBALL?
Answer:
17
Step-by-step explanation:
There are a total of 39 students.
students.
The number of students that play football is twice as much as the number of students that play volleyball.
Let the number that plays volleyball be x then the number that plays football will be 2x. This we have
x + 2x = 39
3x = 39
x = 13
The total number that plays volleyball is 13.
The total number that plays football will be 2 x 13 = 26
Since 9 students play both sports, the number of students that plays only football will be 26 - 9 = 17.
y = 2 is a polynomial function.
True or false
Answer:
false
Step-by-step explanation:
is M a midpoint of line AB? AB=44, MB=22 a)maybe b)can't determine c)yes d)no (please explain how you got your answer)
Answer:
Yes
Step-by-step explanation:
Yes, M is the midpoint of AB.
The length of the whole line AB is 44. So, if any midpoint is drawn on it, The two parts of the line will be equal and half of the total lines measure.
Whole line's measure = AB = 44
If any Midpoint say "M" is drawn on it, the measures of divided line would be halved.
AM = BM = 44/2 = 22
Can someone help me im kinda dumb :/
Answer:
9. a₁ = 13, aₙ = aₙ₋₁ × (-2)
10. aₙ = 2 (-3)ⁿ⁻¹
Step-by-step explanation:
9. aₙ = 13 (-2)ⁿ⁻¹
This is a geometric sequence where the first term is 13 and the common ratio is -2.
So the recursive formula is:
a₁ = 13, aₙ = aₙ₋₁ × (-2)
10. a₁ = 2, aₙ = aₙ₋₁ × (-3)
This is a geometric sequence where the first term is 2 and the common ratio is -3.
So the explicit formula is:
aₙ = 2 (-3)ⁿ⁻¹
Simplify x^2(y^3)^4 / xy^5 = x^a times y^b
Answer:
xy^7 - x^a y^b = 0
Which sentence can be represented by the equation 3/5m=15
The sum of 3/5 and a number is 15
Three-fifths more than a number is 15
Three-fifths times a number is 15.
3
The quotient of 3/5 and a number is 15.
Answer:
three-fifths times a number is 15
Step-by-step explanation:
let the unknown number be x
based on the answer above:
3/5 × x = 15
3/5x = 15
Answer: C is the correct answer
Step-by-step explanation:
For what values of the variables are the following expressions defined? A) 5y+2 B)8/y C)1/x+7 D)2b/10-b
Answer:
A) All real numbers
B) All real numbers except y = 0
C) All real numbers except x = -7
D) All real numbers except b = 10
Step-by-step explanation:
An expression is defined at all those points at which it does not give the value equal to [tex]\infty[/tex] or does not give the zero by zero form.
i.e. [tex]\frac{0}{0}[/tex] Numerator and Denominator both having zeroes.
Now, let us have a look at the given expressions:
A) 5y+2
Here, Denominator is 1. So, there is no constraint on the value of y.
Hence, at all Real Numbers, the expression is defined.
[tex]B)\ \dfrac{8}{y}[/tex]
Here, denominator is y,
At [tex]y = 0[/tex], the value of expression will approach towards [tex]\infty[/tex]
Hence, this expression is defined at All Real numbers except y = 0
[tex]C)\ \dfrac{1}{x+7}[/tex]
Here, zero by zero form is not possible.
Let us check the value of x where the denominator can be 0 and as a result the expression tends to reach value [tex]\infty[/tex].
x+7=0
At x = -7, the denominator will be 0 and as a result the expression tends to reach value [tex]\infty[/tex].
Hence, the expression is defined at All real number except x = -7
[tex]D) \dfrac{2b}{10-b}[/tex]
Here zero by zero form is not possible.
Let us check the value of b where the denominator can be 0 and as a result the expression tends to reach value [tex]\infty[/tex].
10-b=0
At b = 10, the denominator will be 0 and as a result the expression tends to reach value [tex]\infty[/tex].
Hence, the expression is defined at All real number except b = 10
Find the area of the regular
pentagon.
5.5 cm
8 cm
Answer:
Area = 110 cm²
Step-by-step explanation:
You can find the area of a regular pentagon by finding the area of one of the triangles created by its central angle and multiplying it by 5.
1. Use the formula for the area of a triangle to find the area of the triangle formed by its central angle.
[tex]A = \frac{1}{2} bh\\\\A = \frac{1}{2}8(5.5)\\\\A = \frac{1}{2}44\\\\A = 22[/tex]
2. Multiply this area by 5 to get the area of the entire pentagon.
A = 22(5)
A = 110
5. (03.02 MC)
If f(x) = 2x2 + 4, find f(3).
Answer:
f(3) = 22
Step-by-step explanation:
f(x) = 2x^2 + 4
=>f(3) = 2(3)^2 + 4
= 2(9) + 4
= 18 + 4
= 22
Rafael has 118 baseball cards arranged in an album. Each page of the album can hold 9 cards. How many pages are full and how many cards are on the last page?
Answer:
Dear user,
Answer to your query is provided below
Pages full = 13
Card on last page = 1
Step-by-step explanation:
Rafael has 118 baseball cards.
Each album can hold 9.
So, using multiples of 9 or by dividing 118/9
That 1 is remainder.
So, cards on last page is 1
Verify ,
Pages full = (118-1)/9 = 13
Please can anyone Help ASAP
Answer:
Jemima is wrong because perimeter is sum of all sides and the perimeter of this figure would be the outer sides of it and not the inner sides.
Answer:
See below.
Step-by-step explanation:
She is wrong because 3 times the perimeter of one triangle is the sum of 9 sides of the triangles.
In the shape we see that some of the sides of the triangles are 'shared' and dare not part of the perimeter of the shape, - the perimeter is only the length of 5 sides of a triangle.
So the perimeter is less than the sum of the sides of the 3 triangles.
What is the equation of the line, in slope-intercept form, that passes through (3,-1) and (-1, 5)?
2 x + 3 y - 7 = 0
2 y=-3x+7
ASAP PLEASE
Answer:
[tex]2y = -3x+7[/tex]
Step-by-step explanation:
The coordinates are (3,-1) and (-1,5)
Finding the slope :
Slope = [tex]\frac{rise}{run}[/tex]
Slope = [tex]\frac{5+1}{-1-3}[/tex]
Slope = [tex]\frac{6}{-4}[/tex]
Slope = [tex]-\frac{3}{2}[/tex]
Now Finding y-intercept.
For this, we'll take any point
Let it be (3,-1)
So,
Point = (x,y) = (3,-1)
=> x = 3, y = -1
Putting in slope intercept form to get b
=> [tex]y = mx+b[/tex]
=> -1 = (3)([tex]-\frac{3}{2}[/tex]) + b
=> b = -1 + [tex]\frac{9}{2}[/tex]
=> b = [tex]\frac{7}{2}[/tex]
Putting m and b in the slope intercept form to get the required equation of line
=> [tex]y = mx+b[/tex]
=> [tex]y = \frac{-3x+7}{2}[/tex]
=> [tex]2y = -3x+7[/tex]
Can I get the awnser to this?
Answer: 17.8 yds
Step-by-step explanation:
The length of the arc of the ENTIRE circle is the circumference (C = 2πr).
We only want a 60° section of that circumference which is 60°/360° = 1/6 of the circumference.
The formula for length of an arc is: [tex]s=2\pi r\bigg(\dfrac{\theta}{360^o}\bigg)[/tex]
Given r = 17, θ = 60°
[tex]s=2\pi (17)\bigg(\dfrac{60^o}{360^o}\bigg)\\\\\\.\quad =2\pi(17) \bigg(\dfrac{1}{6}\bigg)\\\\\\.\quad =\dfrac{17 \pi}{3}\\\\\\.\quad =\large\boxed{17.8}[/tex]
If the mean of m, n, s, P and q is 12.
Calauate the mean of (m + 4), (n-3),(s+6)
(p-2) and (q+8).
Answer:
Step-by-step explanation:
We have,
Mean = Σx/n
or 12= (m+n+s+p+q)/5
or, m+n+s+p+q = 60 ...........(i)
Again,
New Mean = (m+4+n-3+s+6+p-2+q+8)/5 [∵ n = 5]
or, New Mean = {(m+n+s+p+q)+13}/5
or, New Mean = (60+13)/5 = 73/5 [from eq (i)]
∴ New Mean = 14.6 Ans.