Answer:
x = -1.6
Step-by-step explanation:
Solve for x:
Combine like terms. Here we combine 1.6x and 3.4x, obtaining 1.8x on the right side of the equation and -2.88 on the left side:
-2.88 = 1.8x
Solve for x by dividing both sides by 1.8:
x = -2.88/1.8, or x = -1.6
The other question is in the picture
Activity 2: of Directions: Write T before each item if the statement is TRUE, otherwise write F.
For items 1-2: Use the problem below to answer the following questions.
Your mother invested PhP 10,000.00 in an investment institution at 5% compounded semi-annually for x years.
___1. y = 10 000(1.025)2x is the function that represents mother's total investment
Using compound interest, it is found that the correct options are:
1. True.
2. True.
Compound interest:
[tex]A(x) = P\left(1 + \frac{r}{n}\right)^{nx}[/tex]
A(t) is the amount of money after t years. P is the principal(the initial sum of money). r is the interest rate(as a decimal value). n is the number of times that interest is compounded per year. x is the time in years for which the money is invested or borrowed.Item 1:
Invested 10000, hence [tex]P = 10000[/tex].Semi-annually, hence [tex]n = 2[/tex].Interest rate of 5%, hence [tex]r = 0.05[/tex]Then:
[tex]A(x) = P\left(1 + \frac{r}{n}\right)^{nx}[/tex]
[tex]A(x) = 10000\left(1 + \frac{0.05}{2}\right)^{2x}[/tex]
[tex]A(x) = 10000(1.025)^{2x}[/tex]
Hence option 1 is True.
Item 2:
Quarterly, hence [tex]n = 4[/tex].Then:
[tex]A(x) = P\left(1 + \frac{r}{n}\right)^{nx}[/tex]
[tex]A(x) = 10000\left(1 + \frac{0.05}{4}\right)^{4x}[/tex]
[tex]A(x) = 10000(1.0125)^{4x}[/tex]
Hence option 2 is also True.
A similar problem is given at https://brainly.com/question/24507395
Please help me asap
The line passing through which two points is perpendicular to the line 10x + 2y = 2?
A.) (-2, -7) and (1, 8)
B.) (-5, 5) and (0, 4)
C.) (0,-9) and (5, -8)
D.) (-4, 12) and (-2,2)
E.) (-2, 11) and (1, -4)
Considering the definition of perpendicular line, the correct option is option C): the line passing through (0,-9) and (5, -8) is perpendicular to the line 10x + 2y = 2.
Linear equationA linear equation o line can be expressed in the form y = mx + b
where
x and y are coordinates of a point.
m is the slope.
b is the ordinate to the origin and represents the coordinate of the point where the line crosses the y axis.
Knowing two points (x₁, y₁) and (x₂, y₂) of a line, the slope m of said line can be calculated using the following expression:
m= (y₂ - y₁)÷(x₂ - x₁)
Perpendicular linePerpendicular lines are lines that intersect at right angles or 90° angles. If you multiply the slopes of two perpendicular lines, you get –1.
Perpendicular line in this caseIn this case, the line is 10x + 2y=2. Expressed in the form y = mx + b, you get:
2y=2 - 10x
y= (-10x +2)÷ 2
y= -10/2x +2/2
y= -5x +1
The line has a slope of -5. If you multiply the slopes of two perpendicular lines, you get –1, you get:
-5× slope perpendicular line= -1
slope perpendicular line= (-1)÷ (-5)
slope perpendicular line= 1/5
The line through two points must have a slope equal to 1/5. So you calculate the slope of each line that passes through two points as follows:
(x₁, y₁)= (-2, -7) and (x₂, y₂)= (1, 8): m= (8 - (-7))÷(1 - (-2)) → m= (8+7)÷ (1+3) → m= 15÷4= 15/4(x₁, y₁)= (-5, 5) and (x₂, y₂)= (0, 4): m= (4- 5)÷(0 - (-5)) → m= (-1)÷ (0 + 5) → m= -1÷5= -1/5(x₁, y₁)= (0, -9) and (x₂, y₂)= (5, -8): m= (-8 - (-9))÷(5 - 0) → m= (-8+9)÷ (5) → m= 1÷5= 1/5(x₁, y₁)= (-4, 12) and (x₂, y₂)= (-2, 2): m= (2 - 12)÷(-2 - (-4)) → m= (-10)÷ (-2+4) → m= -10÷2= -5(x₁, y₁)= (-2, 11) and (x₂, y₂)= (1, -4): m= (-4 -11)÷(1 - (-2)) → m= (-15)÷ (1+2) → m= -15÷3= -5Since the perpendicular line must have a slope equal to 1/5, the line passing through (0,-9) and (5, -8) is the correct line.
Learn more about perpendicular line:
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The dimensions of a rectangular prism are 3 cm, 15 cm, and k cm. Its volume is
90 cm. Find the value of k.
Answer:
k = 2 cm
Step-by-step explanation:
3 x 15 x k = 90 cm^3
45 x k = 90 cm^3
k = 90/45 = 2 cm
Question
The dimensions of a sports pennant are given in the diagram. Find the values of x and y.
Answer:
x= 79° y= 22°
Step-by-step explanation:
x is the same as 79
79+79= 158
180° in a triangle
180-158= 22°
Solve
9
-
)
12
OA)
0010
100
8
OB)
OC)
5
12
OD)
olu
5
12
Will give brainliest, need assistance ASAP!
Triangle EFG is dilated by a scale factor of \frac{2}{3}
3
2
to form triangle E'F'G'. What is the measure of side FG?
Answer:
B. 36°
Step-by-step explanation:
Dilation does not change the angle measures or the direction of the lines. Angle F is the same as corresponding angle F'.
Please help me with these problems!
Answer:
143880000 people have dogs and b.
Step-by-step explanation:
327,000,000 * .44(44 percent) = 143880000
the sample of 437 is much smaller than the entire state of texas, so it is incorrect to assume that the small amount of people is representative of the entire state.
Answer:
Step-by-step explanation:
3)
327 Million → 100%
x → 44%
100x = 44×327
100x = 14388
x = 14388/100
x = 143.88 Million people
4) D
I hope I've helped you.
What’s x?
Answer:
I pretty sure it is F.1cm
(4, 7); y = 3x + 6 plz help me
y=3x+6.
y=3x-5
I did it with a parallel line
Please help this is my fifth time asking this question please answer it correctly with explanation
Step-by-step explanation:
There are two attachments to this post. The first attachment shows the numbered angles formed through the intersection of the transversal, t, into the parallel lines, m and n, which will be used to determine how each angle relates to other angles.
First attachment:The corresponding angles in the first attachment are:
∠1 and ∠5
∠2 and ∠6
∠3 and ∠7
∠4 and ∠8
Corresponding angles have the same measure.
The same-side exterior angles are the pair of angles that are outside the parallel lines, and on the same side of the transversal. In the first attachment, the same-side exterior angles are:
∠1 and ∠8
∠2 and ∠7
These angles are supplements of each other, meaning that the sum of their measure equal 180°.
Second Attachment:
Given parallel lines, m and n that are cut by a transversal, t.
The angle that has a measure of ∠(10x + 5)° is a supplement of ∠(5x + 25)°. In order to solve for the value of x, we must establish the following equation:
m∠(10x + 5)° + m∠(5x + 25)° = 180°
10x° + 5° + 5x° + 25° = 180°
Combine like terms:
15x° + 30° = 180°
Subtract 30 from both sides:
15x° + 30° - 30° = 180° - 30°
15x° = 150°
Divide both sides by 15:
15x°/15 = 150°/15
x = 10°
Verify whether we have correct value for x by substituting its value into the established equation:
m∠(10x + 5)° + m∠(5x + 25)° = 180°
10(10)° + 5° + 5(10)° + 25° = 180°
100° + 5° + 50° + 25° = 180°
180° = 180° (True statement).
Therefore, we have the correct value for x = 10°.
m∠(10x + 5)° = 105°
m∠(5x + 25)° = 75°
What is 2x2, I keep on getting it wrong. Can u please help, Thank you
Answer:
4
Step-by-step explanation:
Jessica and her family bought 5 tickets to a
music concert. Tickets for adults cost $5.10 and
tickets for children cost $3.60. Jessica and her
family spent a total of $21. How many tickets
for adults (a) and how many tickets for children
(c) did they buy?
a + c = 5
5.1a + 3.6C = 21
[?] adults [ ] children
Step-by-step explanation:
work is shown and pictured
I’m wondering if this is a polygon
Answer:
They don't need to have parallel lines or right angles. If you think about that, it means that a triangle is a polygon. So are squares, rectangles and, yes, quadrilaterals, parallelograms and trapezoids. They all are closed shapes with many sides, so they're all polygons!
Have a great day!
Brainliest please :)
please help for my math i rlly need it ill give big points and brainliest
Answer:
a) x2 = 10
b) x2 − 40 = 0
c) 3x2 − 600 = 0
d) x2 + 12 = 0
Answer:
[tex]\frac{6(2a-4c)-6(6a-4b)+3(4b-8c)}{4} \\[/tex]
[tex]\frac{12a-24c-36a+24b+12b-24c}{4}[/tex]
[tex]\frac{12a-36a+24b+12b-24c-24c}{4}[/tex]
[tex]\frac{-24a+36b-48c}{4}[/tex]
[tex]-6a+9b-12c[/tex]
[tex]-3(2a-3b+4c)[/tex]
So,
[tex]-3(2a-3b+4c)=X(2a+Yb+Zc)[/tex]
X = (-3)
Y = (-3)
Z = 4
Hope this helps you.
Let me know if you have any other questions :-)
10x + 44
8x - 23
It’s solving for X in triangles
Answer:
x=33.5
Step-by-step explanation:
2. A house costs $30,000. A buyer is given a 1/10 discount. How much money does the buyer save?
Answer:
3000
Step-by-step explanation:
.4(x + 7)
.4 + 7x- 5x -6
Answer:6/5x=7/x+2 Two solutions were found : x =(10-√940)/12=(5-√ 235 )/6= -1.722 x =(10+√940)/12=(5+√ 235 )/6= 3.388 Rearrange: Rearrange the equation by subtracting what is to the right
Step-by-step explanation:
100 points plz help!!!!!
According to the average, it will take you almost 6 hours to do the climb, therefore it will be possible.
Since Jeremy has heard a lot of people in the club talking about tackling a 950-foot rock formation, and he has set a limit that they won't climb anything that takes longer than 7 hours, so they have enough time to travel to and from the place, to determine if it will be possible to climb a 950-foot rock formation within Jeremy's time constraint, the following calculation must be performed, through cross multiplication, to obtain the average rise time:
Height = 85 + 120 + 298 + 194 + 434 + 241 + 351 + 339 + 180 + 400 + 248 + 370 + 155 + 296 + 271 + 255 + 315 + 215 + 405 + 317Minutes = 30 + 45 + 115 + 87 + 160 + 60 + 135 + 117 + 55 + 145 + 95 + 150 + 67 + 120 + 100 + 88 + 138 + 75 + 167 + 120Height = 5489Minutes = 20695489 = 2069 950 = X(950 x 2069) / 5489 = X1,965,550 / 5489 = X358.08 = XX / 60 = 5.96Therefore, according to the average, it will take you almost 6 hours to do the climb, therefore it will be possible.
Learn more in https://brainly.com/question/24057012
Answer:
.....
Step-by-step explanation:
Which equation represents a line which is parallel to the line y = -5/8x + 6?
A) 8x + 5y = 10
B) 8x - 5y = 15
C) 8y - 5x = -24
D) 5x + 8y = 32
Step-by-step explanation:
y = -5x/8 + 6
8y = 8 × (-5x/8 + 6)
8y = -5x + 42
5x + 8y = 42
5x + 8y = K, k element real
Option → D
The equation for parallel line is 5x + 8y = 32.
The correct option is (D).
What is slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
Given:
Equation: y = -5/8x + 6
Now, the parallel line to above equation must have the slope same as the given equation i.e., -5/8.
Then, writing the equation in slope intercept form
A) 8x + 5y = 10
5y= 10 - 8x
y= 10/5 - 8x/5
y= -8/5x + 2
B) 8x - 5y = 15
-5y= 15 - 8x
y= 8/5 x + 3
C) 8y - 5x = -24
8y= -24 + 5x
y= -24/8 +5/8x
y= +5/8x - 3
D) 5x + 8y = 32
8y= 32 -5x
y= -5/8x + 4
Hence, the equation for parallel line is 5x + 8y = 32.
Learn more about Slope here:
https://brainly.com/question/3605446
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The domain for f(x) is all real numbers ___ than or equal to 2
Step-by-step explanation:
f(x) = 2x² + 5√(x - 2)
Domain
√(x - 2) ≥ 0
x - 2 ≥ 0
x ≥ 2
x is greater than or equal to 2
Answer: Greater than
Step-by-step explanation:
Answer this question for me ASAP
Answer:
Option A: (It's just that the y-intercept and slope are in different spots.)
Line in (y=mx+b) form is y = 2x + 4
Slooe is 2
y-intercept is 4
Step-by-step explanation:
Slope-intercept form is written as y=mx+b, where m is slope and b is y-intercept.
By looking at the graph, we can already tell that the y-intercept is positive 4, since the line crosses the y-axis at that point.
Now use rise/run to find slope. (Remember that rise is movement up or down, and run is movement left or right.) With this in mind, the slope is 4/2, and if we simplify it, it's 2/1 (or basically just 2). Because we go upwards 4 units and to the right 2 units.
Hope this helps :)
Caleb has 3 apples and he loses 1 apple how many apples does Caleb have?
Answer:
2 apples
Step-by-step explanation:
he should be more careful next time :)
PLEEASE HELP!!!! I WILL GIVE BRAINLIEST!!!!!
Matheus is going shopping for a universal TV remote and Groceries. The cost of a universal TV remote is $15 and the cost of each Grocery is $8.
If Matheus can spend at most $75, how many groceries can be purchased?
Answer:
7
Step-by-step explanation:
Set up an equation using slope intercept form.
y = mx + b
75 = 8x + 15
Solve.
75 = 8x + 15
-15 -15
60 = 8x
7.5
Round down as it is dealing with money and he would not have enough to purchase an 8th grocery.
7 is the final answer.
Hope this helps!
Solve the math problem
Answer:
1 -66
2. 162
3.11/-2
4. 8/-11
5.12/0
6. 0
7. 15/14
8. 2/-5
Step-by-step explanation:
a number of students are standing in a circle. they are evenly spaced and the fith student is directly opposite the eleventh student. how many students are there all together
Answer:
There would be 12
Step-by-step explanation:
(20pts) I need to know who is incorect and why
Answer:
i thig it is hj
Step-by-step explanation:
jk
Find the domain and range of the following function f(x) = 51x - 21 + 4
Domain. [4,8) Range: (-00,00)
Domain. (4,00) Range: (-00,00)
Domain (-00,00) Range [4,00)
Domain. (-00,00) Range: (4,00)
Answer:
my gosh, hirap kaya niyan, pareho lang ta u d alam sagot
what’s the answer this is due tomorrow help asap
Answer : Quadrilateral
purchased two candles from Target. The first candle has a height of 10 inches and burns at a rate of 3 inches per hour. The second candle has a height of 8 inches and burns at a rate of 2 inches per hour. After how many hours will both candles be at the same height?
Answer:
In 2 hours
Step-by-step explanation:
10/3 8/2
10-6 = 4
6 from 3*2(aka the hours)
8-4 = 4 from 2*2(aka the hours)
you can also set this up like
10-3x=8-2x and solve for it
Answer: At the 2 hour mark.
Step-by-step explanation:
10-3=7. 7-3=4
8-2=6. 6-2=4
