Answer:
5^4x+3 ×100^-2x+1=50000
5^4x×100^-2x=49996
isolate the variable by dividing each side by factors that don't contain the variable. Exact Form: x = 8 √ 12499 , Decimal Form: x = 894.39141319 …
Alan's and Mary's incomes are modeled in the graph. Which part of the graph indicates that Mary's income is greater than Alan's?
Answer:
In the 18th year
Step-by-step explanation:
Which statement is true for the numbers 2.5 and -2.5?
A.
On the horizontal number line, 2.5 and -2.5 are equal and are located on the same point.
B.
On the horizontal number line, -2.5 is located to the left of zero and 2.5 is located to the right of zero.
C.
On the horizontal number line, 2.5 and -2.5 are both located to the right of zero.
D.
On the horizontal number line, 2.5 is located to the left of zero and -2.5 is located to the right of zero.
Answer:
B. On the horizontal number line, -2.5 is located to the left of zero and 2.5 is located to the right of zero
B.
Hope this helps <33!
Help Help Help Help Help Help Help Help Help Prove the divisibility of the following numbers: 10^9+10^8+10^7 by 555
10⁹ + 10⁸ + 10⁷ = 10⁷ (10² + 10¹ + 10⁰)
… = 10⁷ (100 + 10 + 1)
… = 10⁷ × 111
… = (2 × 5)⁷ × 111
… = 2⁷ × 5⁷ × 111
… = 2⁷ × 5⁶ × 555
If EF = 117 , FG = 100, EG = 94, IJ = 40 , and HJ = 37.6 , find the perimeter of HIJ. Round your answer to the nearest tenth if necessary. Figures are not necessarily drawn to scale.
Answer:
124.4
Step-by-step explanation:
Perimeter of ∆HIJ = IJ + HJ + HI
IJ = 40
HJ = 37.6
HI = ?
Let's find HI
∆HIJ and ∆EFG are similar. Since they have equal corresponding angles. Therefore, the ratio of their corresponding sides would be equal.
Thus:
EF/HI = FG/IJ
EF = 117 (given)
HI = ?
FG = 100 (given)
IJ = 40 (given)
Plug in the values
117/HI = 100/40
117/HI = 2.5
117 = HI*2.5
117/2.5 = HI
HI = 46.8
✔️Perimeter of ∆HIJ = IJ + HJ + HI
= 40 + 37.6 + 46.8
= 124.4
can I get this answers please
Step-by-step explanation:
help me solve pleassee
Answer:
122.5 cm²
Step-by-step explanation:
the area of shaded region =
(14×10) - (7 × 2.5)
= 140 - 17.5
= 122.5 cm²
Will give brainliest!!!
2.6(5.5p – 12.4) = 127.92
p=
Answer:
[tex]p=11.2[/tex]
Step-by-step explanation:
Given [tex]2.6(5.5p-12.4)=127.92[/tex], distribute to remove the parentheses:
[tex]2.6\cdot 5.5p-2.6\cdot 12.4=127.92[/tex]
Simplify:
[tex]14.3p-32.24=127.92[/tex]
Add 32.24 to both sides:
[tex]14.3p=160.16[/tex]
Divide both sides by 14.3:
[tex]p=\frac{160.16}{14.3}=\boxed{11.2}[/tex]
This year, Carlos planted 6 more than one-third of the cucumber plants he planted last year. How many cucumber
plants did he plant this year if last year he planted 12 plants?
6
9
10
12? PLEASE HELP SMB
Answer:
10 plants
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
He planted 10 this year because last year he planted 12, and 1/3 of that is 4. He planted 6 more than that this year, so 4+6=10.
in the figure above, x =
Factor completely x2 + 16
Answer:
not a factorable number i think
Step-by-step explanation:
Solve for x. Round to the nearest tenth, if necessary.
Answer:
15.4 (rounded to 1dp)
Step-by-step explanation:
Regan earns $1380 per month out of which he saves $1140 per month. What is the ratio (in the lowest form) of Regan's income to his savings? $$
Answer:
23:19
Step-by-step explanation:
This questions is looking for this ratio:
income:savings
Regan's income is $1,380 per month.
Regan's savings is $1,140 per month.
Substitue those numbers in our original ratio, and you'll get this:
1380:1140
However, this question wants the lowest form of the ratio.
To do that, you can find the GCF (greatest common factor) and divide both number's by it, or you can just randomly divide them by small numbers you know both of them are divisible by.
I'm going to use the 2nd method because it's usually quicker for big numbers like these:
1380/10 = 138
1140/10 = 114
138/2 = 69
114/2 = 57
69/3 = 29
57/3 = 19
29 and 19 are prime numbers, so you can't divide them anymore. This is how we know we've reached the lowest terms of these numbers.
So the answer is 29:19
Hope this helps (●'◡'●)
Answer: 23:19
Step-by-step explanation: 1380 and 1140 LCM is 60. 1380/6 = 23 and 1140/6= 19
Therefore, the answer is 23:19
Write the equation for a parabola with a focus at (6,-4) and a directrix at y= -7
Given:
The focus of the parabola is at (6,-4).
Directrix at y=-7.
To find:
The equation of the parabola.
Solution:
The general equation of a parabola is:
[tex]y=\dfrac{1}{4p}(x-h)^2+k[/tex] ...(i)
Where, (h,k) is vertex, (h,k+p) is the focus and y=k-p is the directrix.
The focus of the parabola is at (6,-4).
[tex](h,k+p)=(6,-4)[/tex]
On comparing both sides, we get
[tex]h=6[/tex]
[tex]k+p=-4[/tex] ...(ii)
Directrix at y=-7. So,
[tex]k-p=-7[/tex] ...(iii)
Adding (ii) and (iii), we get
[tex]2k=-11[/tex]
[tex]k=\dfrac{-11}{2}[/tex]
[tex]k=-5.5[/tex]
Putting [tex]k=-5.5[/tex] in (ii), we get
[tex]-5.5+p=-4[/tex]
[tex]p=-4+5.5[/tex]
[tex]p=1.5[/tex]
Putting [tex]h=6, k=-5.5,p=1.5[/tex] in (i), we get
[tex]y=\dfrac{1}{4(1.5)}(x-6)^2+(-5.5)[/tex]
[tex]y=\dfrac{1}{6}(x-6)^2-5.5[/tex]
Therefore, the equation of the parabola is [tex]y=\dfrac{1}{6}(x-6)^2-5.5[/tex].
Five students are lined up in a row. How
many arrangements could be made if
the position of the last boy remains
unchanged?
(WAEC)
Step-by-step explanation:
16 arrangement can be done
The 24 arrangements could be made if the position of the last boy remains unchanged.
Arrangement
Arrangement is a plans or preparations for a future event.
How to solve this problem?The steps are as follow:
Given, Five students are lined up in a rowWe have make the arrangment such that last boy should remain unchangedTo find how many arrangements are possible in a set of objects, use the formula below, where x is the number of objects.x! , where,! is factorial
x! is equal to x*(x-1)*(x-2)*(x-3)*…(x-(x-1))
In this case we have to take x equal to 4 because last boy to remain unchanged∴ 4*3*2*1 = 24 arrangments
Therefore total 24 arrangements could be made if the position of the last boy remains unchanged.
Learn more about arrangment here:
https://brainly.com/question/251701
#SPJ2
Which graph shows the solution to the system of linear inequalities?
x – 4y < 4
y < x + 1
On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, negative 1) and (4, 0). Everything above the line is shaded. The second dashed line has a positive slope and goes through (negative 1, 0) and (0, 1). Everything below the line is shaded.
On a coordinate plane, 2 straight lines are shown. The first dashed line has a positive slope and goes through (negative 1, 0) and (0, 1). Everything above of the line is shaded. The second solid line has a positive slope and goes through (0, negative 1) and (4, 0). Everything above the line is shaded.
On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, negative 1) and (4, 0). Everything above the line is shaded. The second solid line has a positive slope and goes through (negative 1, 0) and (0, 1). Everything below the line is shaded.
On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, negative 1) and (4, 0). Everything below the line is shaded. The second dashed line has a positive slope and goes through (negative 1, 0) and (0, 1). Everything below the line is shaded.
Answer:
its the 2nd
Step-by-step explanation:
The graph showing common region to both inequalities represents the solution coordinates that satisfy both inequalities.
What is inequality in mathematics?In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.
Given are the following inequalities -
x – 4y < 4
y < x + 1
We have the following inequalities -
x – 4y < 4
y < x + 1
Inequality [1]
x - 4y < 4
x - 4 < 4y
4y > x - 4
y > x/4 - 1
Inequality [2]
y < x + 1
Refer to the graph attached. The common region to both inequalities represents the solution.
Therefore, the graph showing common region to both inequalities represents the solution coordinates that satisfy both inequalities.
To solve more questions on inequalities, visit the link below-
brainly.com/question/26434651
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A boy who is 1.4m tall, sighted the top of a flag pole at an angle of elevation of 36°. if the boy is 9.5m away from the flag pole, calculate the height of the flag pole
Answer:
The height of flag pole=8.3m
Step-by-step explanation:
We are given that
Height of boy=1.4 m
[tex]\theta=36^{\circ}[/tex]
Distance of boy from the flag pole=9.5 m
We have to find the height of the flag pole.
BCDE is a rectangle
BC=ED=1.4 m
CD=BE=9.5 m
In triangle ABE
[tex]\frac{AB}{BE}=tan36^{\circ}[/tex]
Using the formula
[tex]tan\theta=\frac{Perpendicular\;side}{base}[/tex]
[tex]\frac{AB}{9.5}=tan 36^{\circ}[/tex]
[tex]AB=9.5tan36^{\circ}[/tex]
AB=6.90 m
Height of flag pole=AB+BC=6.90+1.4
Height of flag pole=8.3m
Determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false. If a function is continuous at a point, then it is differentiable at that point.
Answer:
See Explanation
Step-by-step explanation:
If a Function is differentiable at a point c, it is also continuous at that point.
but be careful, to not assume that the inverse statement is true if a fuction is Continuous it doest not mean it is necessarily differentiable, it must satisfy the two conditions.
the function must have one and only one tangent at x=cthe fore mentioned tangent cannot be a vertical line.And
If function is differentiable at a point x, then function must also be continuous at x. but The converse does not hold, a continuous function need not be differentiable.
For example, a function with a bend, cusp, or vertical tangent may be continuous, but fails to be differentiable at the location of the anomaly.7. Define a variable and write an expression for the phrase.
8 minus a number
What value of c makes the equation true?
(PLEASE HELP, and look at the picture)
Answer:
[tex]\displaystyle c = 8[/tex]
General Formulas and Concepts:
Pre-Algebra
Equality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityStep-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle \frac{3}{6} = \frac{4}{c}[/tex]
Step 2: Solve for c
Simplify [Reduce]: [tex]\displaystyle \frac{1}{2} = \frac{4}{c}[/tex][Multiplication Property of Equality] Cross-multiply: [tex]\displaystyle c = 8[/tex]Answer:
c = 8
Step-by-step explanation:
[tex] \small \sf \frac{3}{6} = \frac{4}{c } \\ [/tex]
Variable c cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 6c, the least common multiple of 6,c.c × 3 = 6 × 4
multiply 6 and 4 to get 243c = 24
divide both side by 3
[tex]\small \sf \frac{3c }{3} = \frac{ 24} {3} \\ [/tex]
[tex]\small \sf \frac{ \cancel{3}c }{ \cancel{3}} = \frac{ \cancel{24}} {\cancel{3}} \\ [/tex]
Divide 24 by 3 to get 8.c = 8
Select the correct answer.
What is the value of this expression when x=-6 and y=-2?
4(x + 3) - 2y
Answer:
-8
Step-by-step explanation:
Plug in the values of each variable:
4(-6 + 3) - 2(-2)
Use PEMDAS:
4(-3) - 2(-2)
-12 + 4
-8
Answer:
-8
Step-by-step explanation:
* means multiply
just plug in the values
4 ( -6 + 3 ) - (2 * -2)
use pemdas
so parenthesis first
4 * -3 - (-4)
then multiply
-12 - (-4)
-12 + 4
-8
PLZ HELPPP!!!!!!!!!! ASAP
Answer:
They are consecutive terms in the Fibonacci Sequence.
Step-by-step explanation:
The sequence goes 1,1,2,3,5,8,13,21,...
Since 13 and 21 are consecutive here, that is the answer.
Mrs.Carlyle bought a bag of peanuts for her children. When Phillip, Joy, Brent, abd Preston came home from school, they each took some peanuts from the bag.
What is the equation of the following line?
Answer:
last one
y = [tex]\frac{1}{5}[/tex]x
Step-by-step explanation:
slope = [tex]\frac{3-0}{15-0}[/tex] = [tex]\frac{3}{15}[/tex] = [tex]\frac{1}{5}[/tex]
y- intercept is 0
A is the correct answer since x=15
Two
1 1 sides of trapezium are bound 60 cm & 77cm
outer sides are 25cm. & 26cm Find the
area of trapezium
Answer:
area ABEC[tex]s =\frac{25 + 26 + 17}{2} = 34[/tex]
area ∆ BEC[tex] = \sqrt{34 \times 9 \times 8 \times 17} [/tex]
[tex]17 \times 3 \times 2 \times 2 = 204cm ^{2} [/tex]
area ∆ BEC
[tex] = \frac{1}{2} \times 17 \times h = 204[/tex]
[tex]h = \: \frac{204 \times 2}{17} = 24[/tex]
[tex]area \: trap \: \: abcd \\ = \frac{1}{2}(60 + 77) \times 24 \\ = 137 \times 12 = 1644cm ^{2} [/tex]
Step-by-step explanation:
❣️Jess bragoli❣️#keep learning!!
What is –70 divided by 700
PLZ HELP ME!!!
Answer: -0.1
Step-by-step explanation: Calculator
Hello!
-70 : 700 = -0,1 → answer
Good luck! :)
Help pls. I give all points i have
Answer:
100 cm so .............qsuw
If A and B are independent events, P(A and B) =
Answer:
If A and B are independent events, then the events A and B' are also independent. Proof: The events A and B are independent, so, P(A ∩ B) = P(A) P(B). From the Venn diagram, we see that the events A ∩ B and A ∩ B' are mutually exclusive and together they form the event A.
Answer:
Step-by-step explanation:
Given A and B are independent events, P(A and B) = P(A)*P(B)
Differentiate
[tex]y = 3x {}^{3} + 8x - 7[/tex]
Answer:
y=9x^2 + 8
Step-by-step explanation:
using the power rule, we will differentiate each term separately
d/dx of 3x^3 = (3)(3)x^(3-1) = 9x^2
d/dx of 8x = 8x^(1-1) = 8
d/dx of -7 = 0
combining them we get the derivative which is y = 9x^2 + 8
Answer:
9x² + 8
Step-by-step explanation:
The given function to us is ,
[tex]\implies y = 3x {}^{3} + 8x - 7[/tex]
And we need to differentiate the given function with respect to x . Taking the given function and differenciating wrt x , we have
[tex]\implies y = 3x^3 + 8x - 7 [/tex]
Recall that , the derivative of constant is 0 . Therefore ,
[tex]\implies \dfrac{dy }{dx}= \dfrac{d}{dx}(3x^3 + 8x - 7) \\\\\implies\dfrac{dy }{dx}= \dfrac{d}{dx}(3x^3)+\dfrac{d}{dx}(8x) + 0 \\\\\implies\dfrac{dy }{dx}= 3\times 3 . x^{3-1} + 8\times 1 . x^{1-1} \\\\\implies\underline{\underline{\dfrac{dy }{dx}= 9x^2+8}} [/tex]
Hence the derivative of given function is 9x² + 8 .
PLZ ANSWER ILL GIVE BRAINLIEST FIRST CORRECT ANSWER
Answer:
B) Y=-2x+1
Step-by-step explanation:
(-2,5)(2,-3)
M= -8/4 = -2
y = -2x + b
5 = -2(-2)+ b
B= 1
Y=-2x+1
What is the equation of the line graphed below?
5
-5
5
(1, -3)
-5
O A. y = 3x
B. y=-3x
c. y=-5
D. y =
-X
Answer:
C: y=-3x
Step-by-step explanation:
Rise over run: in this case you go down so -3/1=-3
