[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the concept of logarithms.
Since here the log is on both sides, we take antilog on both sides, so we get as,
==> 2-x = -5x - 18
==> -x + 5x = -18 -2
==> 4x = -20
==> x = -20/4
==> x = -5
hence, x = -5
(PLEASE HELP)
Find the area of the given trapezoid.
240 is the answer you're looking for!
Step-by-step explanation:
To find the area, spilt the trapezoid into 3 shapes.
2 triangles (at the ends) and 1 rectangle (the center).
Let's start with the rectangle, the formula for rectangle area is:
[tex]l*w=A[/tex]
The length of the rectangle is 12, the width is 20. Add the numbers in:
[tex]12*20=A[/tex]
Solve:
[tex]12*20=240[/tex]
The area of the rectangle is 240. Now solve for the Triangles.
The formula for finding the area of triangles are is:
[tex](L*W)/2[/tex]
The length of the triangle is 12. To find the width subtract 20 from 30.
L = 12, W = 10. Add in the numbers.
[tex](12*10)/2 = A[/tex]
Use order of operations to solve, start with parenthesis:
[tex]120/2=A[/tex]
Rember to divide it by 2 because a triangle is half of a rectangle.
[tex]60 =A[/tex]
Since there are two identical triangles, you don't need to solve for the other
Now, add the areas together:
[tex]60 + 120+60=A[/tex]
Then solve:
[tex]180+60=A[/tex]
[tex]240=A[/tex]
The correct answer is 240.
select the inequality that is represented by the number line below
NO LINKS OR I WILL REPORT
Answer:
a) x<0
Step-by-step explanation:
the circle is not solid so it’s just a less than a sign and the arrow is going less than 0 so x is less than 0 is the answer
hope this helps :)
the area of the triangle is 24 square feet. what is the length of the base?
A) 8 feet
B) 16 feet
C) 21 feet
D) 36 feet
Answer:
16 feet
Step-by-step explanation:
Area of a Triangle: (Base*Height)/2.
Therefore, Base:(2A)/Height =(2*24)/2=16
The high temperatures for the last seven days are: High Temperatures: 81, 78, 83, 89, 80, 87, 78
Find the RANGE of the temperatures.
Answer:
78 is the range of high temperature
Write an equation for the function that includes the points (-2,4) and (-1,8)
Answer:
If its a linear then the equation is 4x + 8
Step-by-step explanation:
What the Sum of Adding the Polynomials.
Which equation is correct?
O 3.3 = 32 = 9
4. 4 = 2(4) = 8
7.7 = 2(7) = 49
O 14 - 14 = 142 = 28
Answer:
3.3 = [tex]3^{2}[/tex] = 9
Step-by-step explanation:
A student has taken three math tests so far this semester. His scores for the first three tests were 65, 67, and 69. Suppose his test scores continue to improve at the same rate. What will be his grade on the sixth (and final) test? What will be his total score for all six tests?
Answer:
75
Step-by-step explanation:
Scores for his first tests were 65, 67, 69.
Rate of change: +2
y=2x+63; 63 is the 0th test he took, his first test was 65, so 65-2=63. 2x is the rate of change, his tests scores increase by 2 each time.
x=6, 6th test score
y=2(6)+63
y=12+63
y=75
So, on his 6th test he will get a score of 75
Can angles that measure 60, 60 and 60 degrees form exactly one triangle, more than one triangle or no triangle? Why?
Answer:
Yes, a 60,60,60 angle triangle equals 180
Step-by-step explanation:
Every triangle has to equal 180 degrees or it's not a triangle at all. This forms 1 triangle.
Sue wants to know whether wearing sunglasses improves driving performance. If she uses an independent groups design, she would manipulate the variable by randomly requiring half the drivers to drive with sunglasses and the other half to drive without sunglasses. having all drivers first drive without sunglasses and then with sunglasses. having half the drivers first drive without sunglasses and then with sunglasses and having the other half first drive with sunglasses and then without sunglasses. requiring all drivers to first drive with sunglasses and then without sunglasses.
Answer:
randomly requiring half the drivers to drive with sunglasses and the other half to drive without sunglasses.
Step-by-step explanation:
When employing an independent group design in a research or experimental study, the different groups in the study are assigned entirely different subjects such that, subjects in the treatment group are different from those in the control group. Therfore, adopting an independent group design in the scenario described above means diving the subjects into two at random with one half driving with sunglasses and the other half having to drive without it.
This year, the price of a Christmas Cactus painting rose to $359. This is an increase of 15% more than last year’s price. What was the old selling price?
4 The rate of compound interest is 7.5%. How long will it take for an investment of $4500 to
be worth more than $7000?
Please use the compound interest formula for IGCSE:
[tex]p(1 + \frac{r}{100} ) {}^{t} [/tex]
y is inversely proportional to x^2
When x = 4, y = 3.
Find y when x= 5.
Answer:
1.92
Step-by-step explanation:
y = k/x^2
k = yx^2
k = 3 * 4^2
k =3*16=48
y = 48/x^2
y = 48/ 5^2
y = 48/25
y=1.92
Calcula y comprueba las ecuaciones: porfavor alguienn la nesesito pliss a) 2X = 6 b) 10 + Z = 20 c) P + 9 = 11 d) 3X + 8 = + 29 e) 2U + 8 = 10
Answer:
a) x = 3
b) z = 10
c) p = 2
d) x = 7
e) u = 1
Step-by-step explanation:
a) 2x = 6
Despejamos x dividiendo por 2 a amabos lados de la eacuacion.
(2/2)x = 6/2
x = 3
Si remplazamos x en la ecuación original:
2(3)=6
6 = 6
Queda demostrado.
b) 10 + z = 20
Despejamos z restando 10 en amabos lados de la eacuacion.
10-10+z = 20-10
z = 10
Si remplazamos z en la ecuación original:
10 + 10=20
20 = 20
Queda demostrado.
c) p + 9 = 11
Despejamos p restando 9 en amabos lados de la eacuacion.
p + 9 - 9 = 11-9
p = 2
Si remplazamos p en la ecuación original:
2 + 9 = 11
11 = 11
Queda demostrado.
d) 3x + 8 = 29
Despejamos x restando 8 en amabos lados de la eacuacion y luego divideindo por 3 en ambos lados de la ecuación.
3x+8-8 = 29-8
3x = 21
(3/3)x = 21/3
x = 7
Si remplazamos x en la ecuación original:
3(7) + 8 = 29
21 + 8 = 29
29 = 29
Queda demostrado
e) 2u + 8 = 10
Despejamos u restando 8 en amabos lados de la eacuacion y luego divideindo por 2 en ambos lados de la ecuación.
2u+8-8 = 10-8
2x = 2
(2/2)x = 2/2
x = 1
Si remplazamos x en la ecuación original:
2(1) + 8 = 10
2 + 8 = 10
10 = 10
Queda demostrado
Espero te haya sido de ayuda!
Which of the following represents the quadratic function f (x) = 5(x − 2)2 − 7 in standard form?
Answer:
f(x) = 10x - 27. I can't find the answer anywhere
Step-by-step explanation:
In the parallelogram below,
z = [ ?]
124°
2z+16
Use the following function rule to find f(3).
f(x) =
8
x
+ 9
f(3) =
Answer:
33
Step-by-step explanation:
f(3) = 8(3) + 9 = 24 + 9 = 33
Answer:
33 is the answer.
Step-by-step explanation:
# CarryOnLearningHelp with this plz.
Solve the system of equations using the elimination method.
Let's solve your system by elimination.
8x+y=−16;3x−y=5
8x+y=−16
3x−y=5
Add these equations to eliminate y:
11x=−11
Then solve: 11x=−11 for x:
11x=−11
11x
11
=
−11
11
(Divide both sides by 11)
x=−1
Now that we've found x let's plug it back in to solve for y.
Write down an original equation:
8x+y=−16
Substitute: −1 for x in 8x+y=−16:
(8)(−1)+y=−16
y−8=−16(Simplify both sides of the equation)
y−8+8=−16+8(Add 8 to both sides)
y=−8
Answer:
x=−1 and y=−8
Answer:Multiply each equation by a suitable number so that the two equations have the same leading coefficient.
Subtract the second equation from the first.
Solve this new equation for y.
Substitute y = 2 into either Equation 1 or Equation 2 above and solve for x.
Step-by-step explanation:
¿Avisar y enamorar es una rima asonante o consonante?
ES URGENTE. NO PONGAN TONTERIAS SI NO REPORTO
GRACIAS :)
Answer:
son consonantes
guíate por esto.
La rima asonante se caracteriza porque solo coinciden los sonidos vocálicos en la última sílaba de cada verso, mientras que la rima consonante es aquella donde coinciden tanto vocales como consonante.
How much did it cost trudy to get the loan for $500
Answer:
850
Step-by-step explanation:
500 times 0.7 plus 500
answer for brainliest and 10 points
Answer:
It is rational because 121 is a perfect square.
hi^_^ I NEED HELP WITH A PLZ HELP
Answer:
∠ X = 80° , ∠ V = 60°
Step-by-step explanation:
(a)
Since XY and WX are congruent then the triangle is isosceles and the 2 base angles are congruent, that is
∠ W = ∠ Y = 50° , so
∠ X = 180° - (50 + 50)° ← sum of angles in triangle
∠ X = 180° - 100° = 80°
(b)
Since the 3 sides are congruent then the triangle is equilateral with the 3 angles congruent, each 60°
∠ V = 60°
4 m
5 m
3 m
surface area =
Answer:94 m^2
Step-by-step explanation:
surface area equation for rectangle is 2*(a*b + a*c + b*c)
where a=4 b=5 and c=3
so substitute in all numbers and get:
Surface Area = 2×(4×5 + 4×3 + 5×3)
do the maths and got a solid 94 meters
(I squared because in this equation you are multiplying numbers that equal the area of a surface and not the whole volume which would be cubed)
Find the perimeter of the pentagon MNPQR with vertices M(2, 4), N(5, 8), P(8, 4), Q(8, 1), and R(2, 1)
Answer:
The pentagon MNPQR has a perimeter of 22 units.
Step-by-step explanation:
Geometrically speaking, the perimeter of the pentagon is the sum of the lengths of each side, that is:
[tex]p = MN + NP + PQ + QR + RM[/tex] (1)
[tex]p = \sqrt{\overrightarrow{MN}\,\bullet \, \overrightarrow{MN}} + \sqrt{\overrightarrow{NP}\,\bullet \, \overrightarrow{NP}} + \sqrt{\overrightarrow{PQ}\,\bullet \, \overrightarrow{PQ}} + \sqrt{\overrightarrow{QR}\,\bullet \, \overrightarrow{QR}} + \sqrt{\overrightarrow{RM}\,\bullet \, \overrightarrow{RM}}[/tex] (1b)
If we know that [tex]M(x,y) = (2,4)[/tex], [tex]N(x,y) = (5,8)[/tex], [tex]P(x,y) = (8,4)[/tex], [tex]Q(x,y) = (8,1)[/tex] and [tex]R(x,y) = (2,1)[/tex], then the perimeter of the pentagon MNPQR is:
[tex]p =\sqrt{(5-2)^{2}+(8-4)^{2}} + \sqrt{(8-5)^{2}+(4-8)^{2}}+\sqrt{(8-8)^{2}+(1-4)^{2}}+\sqrt{(2-8)^{2}+(1-1)^{2}}+\sqrt{(2-2)^{2}+(4-1)^{2}}[/tex][tex]p = \sqrt{3^{2}+4^{2}} + \sqrt{3^{2}+(-4)^{2}}+\sqrt{0^{2}+(-3)^{2}}+\sqrt{(-6)^{2}+0^{2}}+\sqrt{0^{2}+3^{2}}[/tex]
[tex]p = 22[/tex]
The pentagon MNPQR has a perimeter of 22 units.
The pentagon MNPQR has a perimeter of 22 units.
Geometrically speaking, the perimeter of the pentagon is the sum of the lengths of each side, that is:
p = MN + NP + PQ + QR + RMp=MN+NP+PQ+QR+RM (1)
p = \sqrt{\overrightarrow{MN}\,\bullet \, \overrightarrow{MN}} + \sqrt{\overrightarrow{NP}\,\bullet \, \overrightarrow{NP}} + \sqrt{\overrightarrow{PQ}\,\bullet \, \overrightarrow{PQ}} + \sqrt{\overrightarrow{QR}\,\bullet \, \overrightarrow{QR}} + \sqrt{\overrightarrow{RM}\,\bullet \, \overrightarrow{RM}}p=
MN
∙
MN
+
NP
∙
NP
+
PQ
∙
PQ
+
QR
∙
QR
+
RM
∙
RM
(1b)
If we know that M(x,y) = (2,4)M(x,y)=(2,4) , N(x,y) = (5,8)N(x,y)=(5,8) , P(x,y) = (8,4)P(x,y)=(8,4) , Q(x,y) = (8,1)Q(x,y)=(8,1) and R(x,y) = (2,1)R(x,y)=(2,1) , then the perimeter of the pentagon MNPQR is:
p =\sqrt{(5-2)^{2}+(8-4)^{2}} + \sqrt{(8-5)^{2}+(4-8)^{2}}+\sqrt{(8-8)^{2}+(1-4)^{2}}+\sqrt{(2-8)^{2}+(1-1)^{2}}+\sqrt{(2-2)^{2}+(4-1)^{2}}p=
(5−2)
2
+(8−4)
2
+
(8−5)
2
+(4−8)
2
+
(8−8)
2
+(1−4)
2
+
(2−8)
2
+(1−1)
2
+
(2−2)
2
+(4−1)
2
p = \sqrt{3^{2}+4^{2}} + \sqrt{3^{2}+(-4)^{2}}+\sqrt{0^{2}+(-3)^{2}}+\sqrt{(-6)^{2}+0^{2}}+\sqrt{0^{2}+3^{2}}p=
3
2
+4
2
+
3
2
+(−4)
2
+
0
2
+(−3)
2
+
(−6)
2
+0
2
+
0
2
+3
2
p = 22p=22
The pentagon MNPQR has a perimeter of 22 units.
Timed test please help
Rectangles P and Q are similar. If the area of rectangle P is 80, what is the area of
rectangle Q?
PLEASE I NEED HELPPPPP!!!!!!!!! Determine the measure.
Answer:
710°
Step-by-step explanation:
360° because you make a full rotation + 270° because you go 3/4 of the way around + 80° = 710° total.
can someone help me please
Answer:
3.5
Step-by-step explanation:
If you divide x from y on each row, you will always get 3.5
The ages of the U.S. Presidents that were inaugurated during the 1900s are given below. What is wrong with this histogram? Question 8 options: The bar for 50–54 is too short and the bar for 55–59 is too tall. The bar for 50–54 is too short. The bar for 55–59 is too tall. The bar for 40–44 is too short and the bar for 45–49 is too tall.
A box contains 14 stuffed animal rabbits and 6 stuffed animal bears. What is the probability of selecting a stuffed animal rabbit, replacing it, and then selecting a stuffed animal bear? *
Answer:
14/20 times 6/20=84/400=21/100
Step-by-step explanation:
HELPPP PLS what is the circumference of 11 , 8 ,and 6 !
Answer:
C≈34.56, C≈25.13 and C≈18.85
Step-by-step explanation:
Using the formulas
C=2πr
d=2r
Solving for C
C=πd=π·11≈34.55752
Using the formulas
C=2πr
d=2r
Solving for C
C=πd=π·8≈25.13274
Using the formulas
C=2πr
d=2r
Solving for C
C=πd=π·6≈18.84956
