Answer:
slope = 1
y-intercept = -3
Step-by-step explanation:
3y = 3x - 9
divide each side by 3
y = x - 3
slope = 1
y-intercept = -3
Could someone please help here in so lost
Answer:
x=3
(26x+50degreese) = 134 degreese
Step-by-step explanation:
75% of 96 = what is the answer
Express the % as a fraction
Answer:
72
Step-by-step explanation:
75% of 96 =
= 75/100 * 96
= 3/4 * 96
= 3 * 96/4
= 288/4
= 72
Solve each equation by completing the square.
d² - 24d + c
Answer:
d² - 24d + c = (d - 12)² - 144 + c
Please look at the photo. Thank you!
The value of f(5) is positive
At f(x) = 0, the value of x is 1
For the interval f(x) ≤ 0, the values of x are [-2, 1]
How to determine the values of the functionFrom the question, we have the following parameters that can be used in our computation:
The graph
On the graph, we have
f(5) = 1
This means that f(5) is positive
Also, we have
When f(x) = 0, the value of x is 1
For the interval f(x) ≤ 0, we have the values of x to be
-2 ≤ x ≤ 1
When represented as an interval, we have
[-2, 1]
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Two cars leave towns 680 kilometers apart at the same time and travel toward each other. One car's rate is 16 kilometers per hour less than the other's. If they
meet in 4 hours, what is the rate of the slower car?
Do not do any rounding.
The rate of the slower car is 77km/hr
What is velocity?Velocity is the rate of change of displacement with time. It is measured in meter per second and it is a vector quantity.
velocity = displacement/time
displacement = velocity × time
represent the faster car by v1 and the slower car by v2
v1 = v2+16
V2 = v1-16
Total displacement = 680km
680 =( v1+V2)t
680 = (v1+V2)4
v1+v2 = 680/4
v2+16+v2 = 170
2v2 = 170-16
2v2 = 154
v2 = 154/2
v2 = 77km/hr
therefore the rate of the slower car is 77km/hr
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30 POINTS NO CAP PUT REALL STUFF
If it takes Laine 3 hours to wash the windows of one house, Leslie 4 hours to wash the same windows, and Lance 5 hours to wash the same windows, how long would it take them all working together to wash the windows on THREE houses?
3.8 hours
2.6 hours
5 hours
0.08 hours
Answer:
The answer would be C. 5 Hours
Step-by-step explanation:
Hopes this helps and good luck :)
Find the probability of no successes in six trials of a binomial experiment in which the probability of success is 30%.
Answer: 0.02655
Step-by-step explanation:
Explanation: The formula for finding the probability of no successes in a binomial experiment is given by (1 - p)^n, where p is the probability of success in a single trial and n is the number of trials. In this case, p = 0.30 and n = 6. So, the probability of no successes is (1 - 0.30)^6 = 0.02655.
Rewrite the expression with a single base and exponent. (3^2*3^3)^3
The expression can be rewritten by given term as; 3^15
We need to simplify the expression below:
(3^2 x 3^3)^3
Remember that we can add these exponents, so we get:
(9 x 9)^3 = 81^3
Then we can rewrite this as:
531441
Takin the product between the exponents we will get:
(3^5)^3
Thus, the solution is 3^15
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Borrowed N$20000 AT 5% for three and half years. she wants to pay N$8000 ON MATURITY . TO ACHIEVE THIS SHE IS PLANNING TO PAY 2000 IN 10 MONTHS, AND 5000 IN 16 MONTHS FROM NOW. HOW MUCH SHOULD SHE PAY IN TWO AND HALF YEARS FROM NOW TO MEET HER OBLIGATION?
She needs to pay N $8378.31 in two and a half years from now to meet her obligation.
What are the basic arithmetic operations?
The four basic mathematical operations are Addition, subtraction, multiplication, and division.
Let's first calculate the total interest on the loan for three and a half years:
Interest = Principal × Rate × Time
Interest = 20000 × 0.05 × 3.5
Interest = 3500
So, the total amount she needs to pay back on maturity is:
20000 + 3500 = N$23500
Now, let's subtract the amount she plans to pay in the next 10 months and 16 months:
N$23500 - N$2000 - N$5000 = N$16500
So, she needs to pay N$16500 in two and a half years from now to meet her obligation.
Alternatively, we can also calculate the present value of the remaining payments using the formula for present value of an annuity:
PV = \(PMT \times (1 - (1 + r)^{(-n)}) / r\)
where PV is the present value, PMT is the payment amount, r is the interest rate per period, and n is the number of periods.
Using this formula, we get:
PV = \(2000 \times (1 - (1 + 0.05/12)^{(-10})) / (0.05/12) + 5000 \times x (1 - (1 + 0.05/12)^{(-16)}) / (0.05/12)\)
PV = N$13658.80
So, the amount she needs to pay in two and a half years from now to meet her obligation is the present value of the remaining payments:
PV = \(PMT \times (1 + r)^{(-n)}\)
N$13658.80 = \(PMT \times (1 + 0.05/12)^{(-30)}\)
PMT = N$8378.31
Hence, she needs to pay N$8378.31 in two and a half years from now to meet her obligation.
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si ABCD son los vertices de un cuadrado y A(2,2) y C (10,8) 2 vertices opuestos. Hallar los otros dos vertices, dar como respuesta la mayor de las ordenadas
The area of the square is given as 100 square unit
How to determine the area of square?You should be aware that the square has all its sides equal
The perpendicular from opposite vertices represent distance
The given vertices are
(2,2) and (10,8)
Using the formula for distance between two points
d=√(10-2)²+(8-2)²
d=√8²+6²
d = √64+36
d=√100
This implies that d=10
The area of a square is given as s²
Area = 10²
Atrea = 100 square units
In conclusion, the area of the square is 100 square units
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Translated question:
The vertices of a square ABCD are A(2,2) and B(10,8), Find the area of the square
Order the rational numbers from greatest to least
Answer:
0.55 least 3
3/5= .6 greater 2
2/3= .66 greatest 1
Step-by-step explanation:
give me brainliest pls
Find the volume of this sphere use three
2916 ft³
Step-by-step explanation:Volume helps describe the amount of space that a shape takes up.
Volume of a Sphere
Volume describes the 3-dimensional size of a shape. Since volume is a 3-D measurement, the units should be cubed; this explains why the answer is given in feet cubed. In order to find the volume, we need to use the radius. The radius of a sphere is the distance from the center to the outside. In this case, we are told that the radius is 9 ft.
Volume Formula
Every regular shape has its own volume formula. For a sphere, the formula is:
\(V = \frac{4}{3}\pi r^{3}\)So, to find the volume, all we need to do is plug in the radius. For this sphere, r = 9.
V = 4/3 * 3 * 9³V = 2916When using 3 for pi, the volume of the sphere is 2916 ft³.
Need help quick please
Answer:-1/6
Step-by-step explanation:
Draw a line out in the 2nd quadrant.
Your y=\(\sqrt{35}\) hypotenuse=6 use pythagorean theorem to solve for x
6² = 35 + x²
x=1
so
cosΘ = -1/6
3/4 empress fraction as decimal
Answer:
0.75/.75
Step-by-step explanation:
Candace is practicing her typing. She records the number of words she can type each minute and plans to plot the data on the following grid, where the x-axis represents the number of minutes and the y-axis represents the number of words typed. Which table shows data that could be best presented using a grid with the scales Candace chose? A. Minutes (x) 5 12 15 18 20 Words Typed (y) 140 336 420 504 560 B. Minutes (x) 140 336 420 504 560 Words Typed (y) 5 12 15 18 20 C. Minutes (x) 1 2 4 5 7 Words Typed (y) 30 60 120 150 210 D. Minutes (x) 15 18 20 24 28 Words Typed (y) 450 504 600 720 840
Answer:
Step-by-step explanation:
Hello!
Unfortunatelly you didn't upload the grid with the scales chosen by Candance.
Using the options you gave I've constructed four dotplots.
Y-axis: number of words per minute.
X-axis: number of minutes
To choose the set of X-Y I'll use the following guidelines:
-A graduate typist can type an average of 100-120 words per minute, then a students expected value will be less than 100 words per minute and a minimum of ≅30 words per minute (beginner).
Graph A
(x) 5 12 15 18 20
(y) 140 336 420 504 560
Considering the scale, and the words per minute for this scale are 140wods/5minutes= 28 words per minute. For a beginner this typing speed is acceptable.
Graph B
(x) 140 336 420 504 560
(y) 5 12 15 18 20
For this scale the words per minute are 5/140= 0.035 words per minute. This scale is wrong, someone actively typing wouldn't be so slow.
Graph C
(x) 1 2 4 5 7
(y) 30 60 120 150 210
The words per minute using this scale are 30 words per minute, for a beginner this is also an acceptable typing speed.
Graph D
(x) 15 18 20 24 28
(y) 450 504 600 720 840
For this scale the value of words per minute is 450/15= 30
The only graph off scale is B, the other three can be possible data sets for a typing student. I've attached the 4 graphics so you can compare them the grid.
I hope this helps!
what percent of 75 is 57?
Answer:
76%
Step-by-step explanation:
57/75
(57 X 100)/ 75
5700/75
1900/25
76/1
76
I need help right now!!!
1. Figure STUV is congruent to Figure KLMN because rigid motions can be used to map Figure STUV onto Figure KLMN.
2. Figure STUV is also similar to Figure KLMN because rigid motions and/or dilations can be used to map Figure STUV onto Figure KLMN. The scale factor is 2.
What does it mean for figures to be congruent?When it is said that two figures are congruent, like the ones shown on the graph, This means that they have the same shape and size.
Similar figures have the same shape, but they may have different sizes and be located in different positions.
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rewrite 3^15x3^-3/3^-5x3^7 as a single term of the form 3", where n is an integer.
Using the law of indices
\(\frac{3^{15-3}}{3^{-5+7}}\)This can further be simplify into;
\(\frac{3^{12}}{3^2}\)\(=3^{12-2}\)\(=3^{10}\)A real airplane has a length of 80 feet. Use the scale 1:8 to find out the length of the
model airplane.
Answer:
The model airplane is 10 feet.
Step-by-step explanation:
1/8= 0.125
0.125 x 80 = 10 feet
Which equations are examples of the Distributive Property of Multiplication over Addition? (Choose 2)
Answer: 5(5 + 9). This expression can be solved by multiplying 5 by both the addends. So, 5(5) + 5(9) = 25 + 45 = 70.
Step-by-step explanation:
What is the sum, in degrees, of the interior angles of a regular icosagon
A nine-month old baby drank an average of 7 1/4 oz during each of four feedings. If the baby drank 7 1/2oz, 7 3/8oz, & 6 3/8oz in the first three feedings, how many ounces were taken during the fourth feeding?
A) 7 3/8
B) 6 3/8
C) 6 3/4
D) 7 3/4
Show work please
Answer: D) 7 3/4
Step-by-step explanation:
With averages, we add all the values and divide by the number of values. Here, we know three out of the four days, let's label the day we don't know x. There are four days, so we can divide by four. 7 1/4 is the average, so we can set the equation equal to 7 1/4.
7 1/4 = (7 1/2 + 7 3/8 + 6 3/8 + x) / 4
Let's multiply both sides by 4 to get rid of the fraction. Let's also add what is in the parentheses
29 = 21 1/4 + x
Now we can isolate x by subtracting 29-21 1/4
so
x = 7 3/4 thus the answer is D
Answer:
D) 7 3/4
Step-by-step explanation:
Let x = amount of last feeding.
7 1/4 = (7 1/2 + 7 3/8 + 6 3/8 + x)/4
4 × 7 1/4 = 7 1/2 + 7 3/8 + 6 3/8 + x
28 + 1 = 7 4/8 + 7 3/8 + 6 3/8 + x
29 = 20 10/8 + x
(20 10/8 is the same as 20 + 10/8 = 20 + 8/8 + 2/8 = 20 + 1 + 1/4 = 21 + 1/4 = 21 1/4)
29 = 21 2/8 + x
29 = 21 1/4 + x
x = 29 - 21 1/4
x = 28 4/4 - 21 1/4
x = 7 3/4
Answer: 7 3/4
Six less than two times a number is 20
Answer:
2x - 6 = 20
2x - 6 + 6 = 20 + 6
2x = 26
x = 13
The number should be 13
Step-by-step explanation:
Question 3 (5 points)
(05.02)
Solve log x = 2.
O a
Ob
Oc
Od
2
20
100
1,000
Therefore , the solution of the given problem of logarithm comes out to be x =100.
What exactly is a logarithm?Mathematically speaking, the reciprocal of a power is the logarithm. Therefore, the base-b logarithm of a given number, x, is equal to the exponential by which bc must be extended to acquire it. For instance, because 1000 = 103, whose base-10 logarithm, or log10 = 3, is 3. As an example, the square of ten is one hundred, but the base-10 logarithm of ten is two. Log 100 = 2. The mathematical concept of a logarithmic (or log) is used to respond to questions like.
Here,
Given : log x =2
=> log x =2
=> x = antilog (2)
=> x = 100
Therefore , the solution of the given problem of logarithm comes out to be x =100.
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Problem 3
Draw the pictures to compute 1 ÷ 11 in a base ten system, and show the answer is 0.09.
The result of 1/11 in the base 10 system is given as is 0.09.
How to solveTo visualize the long division of 1 ÷ 11 in a base ten system:
Set up the long division: 11 outside and 1.00 inside the division bracket.
Place the decimal point in the quotient above the dividend's decimal point.
Bring down the first digit (0) and divide 11 into 10; it goes 0 times.
Subtract the product (0) from 10, leaving 10.
Bring down the next digit (0) and divide 11 into 100; it goes 9 times.
Subtract 99 from 100, leaving a remainder of 1.
The result is 0.09.
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1 The figure shows a rectangle inscribed in a circle.
Determine the area of the shaded region. Use 3.14
for and round to the nearest tenth.
Answer:
46.8 cm²
Step-by-step explanation:
The diagonal of the square has length \(\sqrt{6^2+10^2}=2\sqrt{34}\). Therefore, the radius of the circle is \(\sqrt{34}\), meaning the area is \(\pi(\sqrt{34})^2 \approx 34(3.14)=106.76\).
The area of the rectangle is \((6)(10)=60\) cm².
Subtracting the areas, the answer is 46.76 cm², which is 46.8 cm² to the nearest tenth.
I need help with this.
Answer:
√125
Step-by-step explanation:
(0,0) (10,5)=(x1,y1) (x2,y2)
√(x2-x1)²+(y2-y1)²
√(10-0)²+(5-0)²
√10²+5²
√100+25
√125
Answer:
y = \(\frac{1}{2}\)x
Step-by-step explanation:
identify two points on the line: (2, 1) (4, 2) to find the slope(\(\frac{y2 - y1 }{x2 - x1}\)) for the line
=> \(\frac{2- 1}{4-2}\) => \(\frac{1}{2}\)
find the y-intercept:
=> 0
substitute the slope and y-intercept into the equation y = mx + b
slope ↑ ↑ y-intercept
=> y = \(\frac{1}{2}\)x + 0
=> y = \(\frac{1}{2}\)x
I really need help I will mark brainliest
Answer:
is there a question orrrr
Help !! Pls :3:’dnmdnsnms
The congruent reason for the triangles is (b) HL theorem
How to determine the congruent statement?From the question, we have the following parameters that can be used in our computation:
Triangles = FGH and JHK
The SSS similarity theorem implies that the corresponding sides of the two triangles in question are not just similar, but they are also congruent
From the question, we can see that the following corresponding sides on the triangles:
Sides GH and HK
Sides FH and JK
These parameters are given in reasons (2) and (3) and it implies that these sides are congruent sides
For the triangle to be congruent by SSS, the following sides must also be congruent
GH must be congruent to HK
The above statement is true because point H is the midpoint of line GK
This is indicated in reason (2)
Hence, the congruent statement is SSS.
However, we can also make use of the HL theorem in (B)
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What is the maximum of f(x)=sin(x)
Answer:
1
Step-by-step explanation:
The maximum of f(x) = sin(x) is 1. The sine function has a range of -1 ≤ sin(x) ≤ 1. The sine function oscillates between -1 and 1, reaching a maximum of 1 when x = π/2 and a minimum of -1 when x = -π/2. If you look at a graph of
y = sin(x) you can see this.
Answer: The Maximum Value of f(x)=sin(x) is 1 , when x=90°.
Step-by-step explanation:
Property of Sine function:
Sin(x)=0 when x=90°,180°,360°The maximum and Minimum value of Sin(x) is 1 and -1 respectively, when and x=270° respectively.The range of values of sin(x) is -1 to 1.Read more on the Sine function:
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