Answer:
Rounding up numbers means to make a number with many numerical values or digits into a more simpler way.
Step-by-step explanation:
In order to round up a number you have to look to the digit next to it and if its greater then five it rounds up, if it's less then five it stays the same. If the number only has one digit then you have to look at that number and round up by seeing if its greater than or less than five.
Examples:
[tex]7[/tex]
[tex]7>5[/tex]
[tex]7=10[/tex]
7 rounded up equals 10 because 7 is more near 10 then it is to one.
Round the number 12,371 to the nearest thousand.
This means to find the thousands place value (two) check the number next to the thousands place value (hundreds or three) and check to see if that number is greater then five or not.
[tex]12,371[/tex]
[tex]3 <5[/tex]
[tex]=12,000[/tex]
Therefore the 12,371 rounded to the nearest thousand is "twelve-thousand" and that's because three is not greater then or equal to five.
Hope this helps.
2x + Y=8
Me podrían ayudar a resolverla por favor
Kenny went shopping with Ali and purchased an iPhone that was on sale for 10% off. If he paid $270, what was the original price?
Answer:
$2700
Step-by-step explanation:
HELP ASAP WILL GIVE BRAINLYIST IF RIGHT AND EXTRA POINTS
List the simple shapes and to which you divided shape c and Measure their signs right all the measurements in inches
Simplify Complex fraction
1/4 +x
___________= what
1/2
Hey there! I'll only explain you how to solve it and you'll have to find the answer yourself so you learn! <3 Anyhow, To simplify a complex fraction here are the steps.
(1) Convert mixed numbers to improper fractions.
(2) Reduce all fractions when possible.
(3) Find the least common denominator (LCD) of all fractions appearing within the complex fraction.
(4) Multiply both the numerator and the denominator of the complex fraction by the LCD.
(5) When possible reduce, simplify and convert to mixed numbers, any final fraction results.
Hope this helps! <3
Write the quadratic equation whose roots are −6 and 3, and whose leading coefficient is 4.
(Use the letter x to represent the variable.)
Answer:
y= 4(x+6)(x-3)
Step-by-step explanation:
same as before :)
please help thank youuuuu
Answer:
Y=3x-1
Step-by-step explanation:
Let x =1 then ,Y=(3×1)-1=2
Let x=2 then, Y=(3×2)-1=5
Let x=3 then Y=(3×3)-1=8
Let x=0 then Y=(3×0)-1=-1
The average response time to a bank robbery is about 9 min. A local community wants to improve on this time, so they implement advanced training seminars. They find that the new response time for a sample of 36 police officers is 8+4.2 (M SD) min. Test whether this advanced training seminar reduced response time at a.05 level of significance. A. This advanced training seminar significantly reduced response time, t(35) 11.43,p <.05 B. This advanced training seminar significantly reduced response time, (35)1.43, p < .05 C. This advanced training seminar did not reduce response time, t(35)--1.43, p> .05. D. There is not enough information to answer this question.
Answer:
The correct option is;
C. This advanced training seminar did not reduce response time, t(35) = -1.43, p > 0.05
Step-by-step explanation:
The given parameters are;
The population mean response time, μ = 9 minutes
The number of police officers in the sample, n = 36
The mean response time after the training, [tex]\overline x[/tex] = 8 minutes
The standard deviation of the response time after the training, s = 4.2 minutes
The level of significance, α = 0.05
The null hypothesis; μ ≥ 9
The alternative hypothesis; μ < 9
The test statistic for the t-test is [tex]t=\dfrac{\bar{x}-\mu }{\dfrac{s}{\sqrt{n}}}[/tex], therefore, we get;
[tex]t=\dfrac{8-9 }{\dfrac{4.2}{\sqrt{36}}} \approx -1.42857142857[/tex]
The degrees of freedom, df = n - 1 = 36 - 1 = 35
The critical-t at 0.05 level of significance is critical-t = 1.69, p(t < -1.43) > 0.05
and, we fail to reject the null hypothesis, therefore, the advanced training did not reduce the response time
Can someone please help me with these two questions?
Answer:
1) Part A
The function that models the situation is P = 8,300·(1 - 0.12)ⁿ
Part B
2626 people
Part C
1575 people
2) Part A
The function that models the situation is A = 342.000·(1 - 0.06)ⁿ
Part B
The value of the hose in 2025 is approximately $208,472.6
Part C
The value of the hose in 2032 is approximately $135,189.8
Step-by-step explanation:
1) Part A
The given parameters are;
Martianville population in 2012, P₀ = 8,300 people
The percentage annual decrease in the population, r = -12% = -0.12
The formula for the growth of a population is presented as follows;
P = P₀·(1 + r)ⁿ
Where;
P = The population amount at a later time
P₀ = The initial amount of the population
r = The rate of the population growth
n = The number of years
Therefore;
The function that models the situation is P = 8,300·(1 - 0.12)ⁿ
Part B
The population that will attend Martianville in 9 years is given as follows;
P₉ = 8,300 × (1 + (-0.12))⁹ = 8,300 × (1 - 0.12)⁹ ≈ 2626.77
Therefore, by rounding down to the next whole person, the population that will attend Martianville in 9 years, P₉ = 2626 people
Part C
The population that will attend Martianville in 13 years is given as follows;
P₁₃ = 8,300 × (1 - 0.12)¹³ ≈ 1575 people
2) Part A
The price at which the house was bought, A₀ = $342,000
The rate of decrease of the value of the house = 6% therefore, r = -0.06
The function that models the situation is presented as follows;
A = A₀·(1 + r)ⁿ
Therefore;
The function that models the situation is A = 342.000·(1 - 0.06)ⁿ
Part B
The number of years between 2025 and 2017 = 2025 - 2017 = 8 years
The value of the hose in 2025, A₂₀₂₅ = 342.000·(1 - 0.06)⁸ = 208,472.576981
The value of the hose in 2025, A₂₀₂₅ ≈ $208,472.6
Part C
The number of years between 2032 and 2017 = 2032 - 2017 = 15 years
The value of the hose in 2032, A₂₀₃₂ = 342.000·(1 - 0.06)¹⁵ = 135,189.795176
The value of the hose in 2025, A₂₀₃₂ ≈ $135,189.8
Dumisani earns R42480 per month. He splits his earnings in the ratio 7:5 and then saves the lesser amount. How much does he save?
Answer:
R17700
Step-by-step explanation:
Dumsani earns R42480 per month. He splits his earnings in the ratio 7:5 and then saves the lesser amount. How much does he save?
First step
We are given the ratio 7:5
The sum of the proportion = 7 + 5 = 12
We are told that he saves the lesser amount
The lesser ratio = 5
Therefore, the amount he saves is
= 5/12 × R42480
= 5 × 3540
= R17700
Therefore, he saves R17700
How do similar right triangles lead to the definitions of the trig ratios?
Answer:
The ratio of two sides of one right triangle is the same of the corresponding sides of any its similar triangles. ... Then a/b = A/B, which means that this ratio is a constant. The same for a/c = A/C, and b/c = B/C
Hope it helps
Please mark me as the brainliest
Thank you
We have derived the definitions of the three basic trigonometric ratios sin, cos, and tan using similar right triangles.
What are trigonometric identities?There are three commonly used trigonometric identities.
Sin x = Perpendicular / Hypotenuse
Cosec = Hypotenuse / Perpendicular
Cos x = Base / Hypotenuse
Sec x = Hypotenuse / Base
Tan x = Perpendicular / Base
Cot x = Base / Perpendicular
We have,
Similar right triangles can be used to derive the definitions of trigonometric ratios, which are commonly abbreviated as sin, cos, and tan.
Consider a right triangle ABC, where angle A is the right angle.
Let's draw another right triangle ABD where angle A is also the right angle and angle B is congruent to angle D.
We say that triangles ABC and ABD are similar, which means that their corresponding angles are congruent and their corresponding sides are proportional.
Let's label the sides of triangle ABC as follows:
The side opposite angle A is side a (the hypotenuse).
The side opposite angle B is side b.
The side opposite angle C is side c.
We can label the sides of triangle ABD as follows:
The side opposite angle A is side a (the hypotenuse).
The side opposite angle B is side x.
The side opposite angle D is side y.
Since triangles ABC and ABD are similar, we can write the following proportion:
b / a = x / y
Solving for b, we get:
b = (x / y) * a
Now, we can use the Pythagorean theorem to relate the sides of triangle ABC:
a² = b² + c²
Substituting b with its value, we get:
a² = ((x / y) a)² + c²
Simplifying, we get:
a² = (x² / y²) a² + c²
Multiplying both sides by y², we get:
a² x y² = x² a² + c² y²
Now, we can solve for x/y, which is equal to sin(B) and y/a, which is equal to cos(B):
sin(B) = x / y = sqrt(a^2 - c^2) / a
cos(B) = y / a = c / a
Similarly, we can consider another triangle ABE, where angle A is the right angle and angle B is congruent to angle E.
We say that triangles ABC and ABE are also similar.
Let's label the sides of the triangle ABE as follows:
The side opposite angle A is side a (the hypotenuse).
The side opposite angle B is side x.
The side opposite angle E is side z.
Using the Pythagorean theorem for triangle ABC, we get:
a² = b² + c²
Substituting b with its value from triangle ABE, we get:
a² = ((z / x) a)² + c²
Simplifying, we get:
a² = (z² / x²) x a² + c²
Multiplying both sides by x², we get:
a² x² = z² a² + c² x²
Now, we can solve for z/x, which is equal to tan(B):
tan(B) = z / x = √(a² - c²) / c
Therefore,
We have derived the definitions of the three basic trigonometric ratios sin, cos, and tan using similar right triangles.
Learn more about trigonometric identities here:
https://brainly.com/question/14746686
#SPJ2
The cost to rent a moving van is $8.85 plus an additiona $20.40 per hour. If a moving van is rented for 2 hours, what is the cost?
Answer:
49.65$
Step-by-step explanation:
(20.40 x 2) + 8.85 = 49.65 $
What is the slope of 4,17 and 1,8
Answer:
Slope (m)= 3
Step-by-step explanation:
m= (Y2-Y1)/(X2-X1)
m= (17-8)/(4-1)
m= 9/3
m=3
Pleaseeeeeeeeeeeeeeeeeeee helppppppppppppppp
At the end of Quarter 1, Winston’s math grade was a 72. He made a goal to improve his grade for Quarter 2 by focusing more in class and on homework. At the end of Quarter 2, Winston’s grade increased to an 80.
By what percent did Winston’s grade improve? show your work!
Answer:
8%
Step-by-step explanation:
The reason why is his grade is 72% right and it increased to 80%.
Subtract 80 from 72 which equals 8.
Use the distance formula to find the distance between the points
(-4,-4) and (4, 4).
Answer:
[tex]\displaystyle d = 8\sqrt{2}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Algebra II
Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Point (-4, -4)
Point (4, 4)
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d
Substitute in points [Distance Formula]: [tex]\displaystyle d = \sqrt{(4+4)^2+(4+4)^2}[/tex][Distance] [√Radical] (Parenthesis) Add: [tex]\displaystyle d = \sqrt{(8)^2+(8)^2}[/tex][Distance] [√Radical] Evaluate exponents: [tex]\displaystyle d = \sqrt{64+64}[/tex][Distance] [√Radical] Add: [tex]\displaystyle d = \sqrt{128}[/tex][Distance] [√Radical] Simplify: [tex]\displaystyle d = 8\sqrt{2}[/tex]HELP I HAVE THIS ASSIGHMENT DUE IN 30 MINUTES
Answer:
C
Step-by-step explanation:
p-2>6
add 2 both sides
p >8
p can only be greater than 8, and not equal to it, so the circle is open
Which expression has a value less than 5 ?
O A. 5 +8
O B. –9 + 5
O C. 1+(-8)
O D. 7+ (-2)
Answer:
es la a. 5+8 es esa amigo la respuesta
Susan walked a total of 8 kilometers by making 4 trips to school. How many trips will Susan have to make in all to walk a total of 10 kilometers? Assume the relationship is directly proportional.
Answer:
6 trips in total..,.............
Answer:
5
Step-by-step explanation:
can someone help me please ❤️
Answer:314
Step-by-step explanation:
V=pi r squared
V= 3.14x10 squared
10 squared= 100
V=3.14x 100
V= 314
If JG=JF,GD=13, and mCD=136, find each measure.
Answer:
[tex]ED = 26[/tex]
[tex]CF = 13[/tex]
[tex]m \overset{\huge\frown}{ED} = 136[/tex]
[tex]m \overset{\huge\frown}{HD} = 68[/tex]
[tex]m \overset{\huge\frown}{CE} =88[/tex]
Step-by-step explanation:
Given
[tex]JG = JF[/tex]
[tex]GD = 13[/tex]
[tex]m \overset{\huge\frown}{CD} = 136[/tex]
See attachment for circle
Solving (a): Length ED
Line JD divides ED into two equal parts, EG and DG.
So:
[tex]ED = EG + GD[/tex]
[tex]ED = GD + GD[/tex]
[tex]ED = 13 + 13[/tex]
[tex]ED = 26[/tex]
Solving (b): Length CF
CF is a reflection of EG.
So:
[tex]CF = EG[/tex]
[tex]EG = GD = 13[/tex]
So:
[tex]CF = 13[/tex]
Solving (c): [tex]m \overset{\huge\frown}{ED}[/tex]
Since ED = CD;
Then:
[tex]m \overset{\huge\frown}{ED} = m \overset{\huge\frown}{CD}[/tex]
So:
[tex]m \overset{\huge\frown}{ED} = 136[/tex]
Solving (d): [tex]m \overset{\huge\frown}{HD}[/tex]
Line HF divides CD to 2 equal parts
So:
[tex]m \overset{\huge\frown}{HD} = \frac{1}{2} * m \overset{\huge\frown}{CD}[/tex]
[tex]m \overset{\huge\frown}{HD} = \frac{1}{2} * 136[/tex]
[tex]m \overset{\huge\frown}{HD} = 68[/tex]
Solving (e): [tex]m \overset{\huge\frown}{CE}[/tex]
[tex]m \overset{\huge\frown}{CE}[/tex] is a minor arc while [tex]m \overset{\huge\frown}{ED} = 136[/tex] + [tex]m \overset{\huge\frown}{CD} = 136[/tex] are the major arcs.
So:
[tex]m \overset{\huge\frown}{CE} + m \overset{\huge\frown}{ED} + m \overset{\huge\frown}{CD}= 360[/tex]
[tex]m \overset{\huge\frown}{CE} + 136+136= 360[/tex]
Collect like terms
[tex]m \overset{\huge\frown}{CE} =- 136-136+ 360[/tex]
[tex]m \overset{\huge\frown}{CE} =88[/tex]
Following are the calculated value " [tex]ED=26, CF=13\ , m \widehat{ED}=136^{\circ}\ , m \widehat{HD}=68^{\circ}\ , m \widehat{CE}=88^{\circ}\\\\[/tex]", and its complete calculation can be defined as follows:
Given value:[tex]\bold{JG=JF,GD=13,} \\\\ m \widehat{CD}=136^{\circ}\\\\[/tex]
When
[tex]m \widehat{CD}= m \widehat{ED}\\\\m \widehat{ED} = 136^{\circ}[/tex]
[tex]HJ \perp CD \\\\IJ \perp ED\\\\[/tex]
SO,
[tex]CF = FD \\\\EG=ED \\\\[/tex]
[tex]m \widehat{HD} = m \widehat{CH} = \frac{1}{2} m \widehat{CD}\\\\[/tex]
[tex]CF=13\\\\ ED = 13 \times 2 =26 \\\\ m \widehat{HD} = \frac{1}{2}\ m \widehat{CD} = 136^{\circ} \div 2 = 68^{\circ}\\\\m \widehat{CE} = 360^{\circ} -136^{\circ} - 136^{\circ} = 88^{\circ}\\\\[/tex]
Using the Vertical theorem and Theorem of the length of tangent to calculate the value:
[tex]ED=26\\\\CF=13\\\\m \widehat{ED}=136^{\circ}\\\\m \widehat{HD}=68^{\circ}\\\\m \widehat{CE}=88^{\circ}\\\\[/tex]
Note:
The given question is incomplete that's why we defined the question in the attached file and then solve it.
Find out more information about the arc of the circle here:
brainly.com/question/1577784
t/3+9=12 ?? no clue how to do
Answer:
t = 9
Step-by-step explanation:
t/3 = 12 - 9
t = 3 * 3
t = 9
Answer:
t=9
Step-by-step explanation:
t/3+9=12
t/3+9-9=12-9
t/3= 3
3xt/3 = 3x3
t=9
Tyler's mom purchased a savings bond for Tyler. The value of the savings bond increases by 4% each year. One year after it was purchased, the value of the savings bond was $156
Answer:
150
Step-by-step explanation:
If a person in a wheelchair wanted to get to the second story of a two-story building, would it be easier to take a short, steep ramp or a long, shallow ramp?
Answer:
the long one because of the friction and you can gain speed the second way
Step-by-step explanation:
44 * 9678 I will mark brainliest
Answer:
=425832
Step-by-step explanation:
i hope this helps :)
Answer:
425832
Step-by-step explanation:
I was trying as well gg
an evergreen nursery sells a certain shrub
What is -3/11 divided by -5/6
Answer:
0.00909090909
Step-by-step explanation:
Find the value of x?
Answer:
Step-by-step explanation:
6) Number of sides = n = 7
Sum of all the sides of the mentioned polygon = (n - 2)*180 = (7-2)*180 = 5 *180
= 900
x + 125 + 119 + 117 +145+133 +140 = 900
x + 779 = 900
x = 900 - 779
x = 121
7) Number of sides = n = 5
Sum of all the sides of the mentioned polygon = (n - 2)*180
= 3 *180 = 540
90 + 9x - 6 + 3x +23 + 95 + 7x- 4 = 540
90 - 6 + 23 + 95 - 4 + 9x + 3x + 7x = 540
198 + 19x = 540
19x = 540 - 198
19x = 342
x = 342/19
x = 18
8) Number of sides = n = 8
Sum of all the sides of the mentioned polygon = (n - 2)*180
= 6*180
= 1080
This is a regular polygon (All sides are equal). so all the angles are equal.
One angle = 1080 ÷ 8 = 135
16x +23 = 135
16x = 135 - 23
16x = 112
x = 112/16
x = 7
A car is 120 inches long. A truck is 75% longer than the car. How long is the truck?
Answer:
I think the truck would be 210 inches long
2b +4= -8
29 - 6 = 4
3s – 4= 8
can some one pls help me with these 3 question pls
Answer: 2b+4=-8 the answer is -6
Step-by-step explanation: I got this because you subtract 4 from both side which subtract 4 from 4 and subtract -8 from -4 you add those two up because they are both negative which you got -12 so your equation right now is 2b=-12 after that you divide 2 from 2b from both side and your answer is -6. I hope I helped with that one problem
plzzz help smart people, its math will mark branilyest (DONT ANSWER IF YOU DONT KNOW THIS TYPE OF MATH PLZZ SHOW WORK)
Answer:
6) 15
7)5
8)120 degrees
9)60 degrees
10)9
Step-by-step explanation:
GHIJ is a parallelogram.
Opposite sides of a parallelogram are congruent.
3y - 1 = 2y + 1
3y - 2y = 1 + 1
y = 2
Opposite sides of a parallelogram are congruent.
4x + 3 = x + 12
4x - x = 12 - 3
3x = 9
x = 9/3
x = 3
6)GH = ?
GH = 4x + 3
GH = 4(3) + 3
= 12 + 3
= 15
therefore, GH = 15
7) HI = ?
HI = 2y + 1
= 2(2) + 1
= 4 +1
= 5
therefore, HI = 5
Opposite angles of a parallelogram are equal.
8) m(angle I) = 120 degrees...... (given)
therefore, measure of angle G = measure of angle I
therefore, m(angle G) = 120 degrees
Consecutive angles of a parallelogram are supplementary.
9) m(angle I) + m(angle J) = 180 degrees
120 + m (angle J) = 180
m(angle J) = 180 - 120
= 60 degrees.
The diagonals of a parallelogram bisect each other.
10) JK = 9 .........( given)
JK = HK
therefore, HK = 9
Sasha makes $5.00 an hour. She needs to make $150 dollars. She
can use this equation to find the number of hours, h, that she needs
to work to earn $150.00.
Answer:
5h = $150
Step-by-step explanation:
Answer:
150 = 5h
Step-by-step explanation:
h = amount of hours
solve to find amount of hours she needs to work to earn $150