Answer:
Step-by-step explanation:
hello :
g(x)=3x+5
g(−6).=3(-6) +5 = -18+5 = -13
This diagram shows
Parallel Lines
Perpendicular Lines
Supplementary Angles
Complementary Angles
The number of calories burned while jogging varies directly with the number of minutes spent jogging. If george burns 150 calories by jogging for 20 minutes, how many calories does he burn by jogging for 30 minutes
Shannon participated in a national math contest by taking a math test. The test results followed a normal distribution with a mean score of 72.6 points out of 100 and a standard deviation of 8.7. Shannon received a score of 81 points. Shannon thinks she performed better than 68% of the students in the contest
Shannon is incorrect because her score of 81 is...
a. approximately −2 standard deviations from the mean
b. approximately −1 standard deviations from the mean
c. approximately 1 standard deviations from the mean
d. approximately 2 standard deviations from the mean
someone please explain to me how this is done please
Answer:
10√6 ; √5/6 ; 42√14
Step-by-step explanation:
1) - factorise 240
240/ 2 = 120
120/2 = 60
60/2 = 30
30/2 = 15
15/3 = 5
5/5 = 1
240 = 2^4 * 3 * 5
- simplify [tex]\sqrt{2^4 * 5 * 3}[/tex]. We can in particular simplify [tex]\sqrt{2^4}[/tex] by dividing the index of the radius and the exponent by 2
[tex]2^2\sqrt{5*3} = 4\sqrt{15}[/tex]
- factorise 12
12/2 =.6
6/2 = 3
3/3 = 1
12 = 2^2 * 3
- simplify [tex]\sqrt{2^2 *3}[/tex]
[tex]\sqrt{2^2 * 3} = 2\sqrt{3}[/tex]
- divide [tex]4\sqrt{15} with 2\sqrt{3}[/tex]
number : number = 4/2 = 2
square : square = √15 / √3 = √5
[tex]2\sqrt{5}[/tex]
- multiply √30 with 2√5
number x number = 2x1 = 2
square x square = √30 x √5 = √150
2√150
- factorize 150
150/ 2 = 75
75/3 = 25
25/5 = 5
5/5 = 1
150 = 5^2 x 2 x 3
- simplify [tex]\sqrt{5^2 * 2 * 3}[/tex]
[tex]\sqrt{5^2 * 2 * 3} = 5\sqrt{6}[/tex]
- multiply 2 and 5
10√6
2) remember that a division of two terms with the same square can be rewrite as [tex]\sqrt{x/y} = \sqrt{x} / \sqrt{y}[/tex]
- rewrite the expression in this way
[tex]\sqrt{5} / \sqrt{9} + \sqrt{5} / \sqrt{144} - \sqrt{5} / \sqrt{16}[/tex]
- solve the squares of the denominators
√5/3 + √5/12 -√5/4
- rewrite the fraction with the same denominator = 12
(4√5 + √5 - 3√5)/12
- simplify the numerators by sum the numbers
2√5/12
- divide 2 and 12
√5/6
3)
- multiply 3√2 and √14
number x number = 3 x 1 = 3
square x square = √2 x √14 = √28
3√28
- factorise 28
28 = 2^2 x 7
- simplify [tex]\sqrt{2^2 *7}[/tex]
[tex]\sqrt{2^2 *7} = 2\sqrt{7}[/tex]
- multiply 3 and 2
6√7
- factorise 98
98/2 = 49
49/7 = 7
7/7 = 1
98 = 7^2 * 2
- simplify [tex]\sqrt{7^2 * 2}[/tex]
[tex]\sqrt{7^2 * 2} = 7\sqrt{2}[/tex]
- multiply 6√7 and 7√2
number x number = 42
square x square = √14
42√14
A car wash charges customers $6 per wash. It costs the car wash company $2 per wash for materials and a base cost of $80. How many car washes are necessary for the car company to make $60 in profit?
Answer:
35 Car Washes
Step-by-step explanation:
Data:-
Sale Charges per wash = $6/-
Cost per wash = $2/-
Base cost = $80/-
Required Profit = $60/-
Required:-
No of Cash Washes to reach the required profit = ?
Solution:-
Sales - VC = Contribution Margin
$6 - $2 = $4 per unit
Required Sales in Unit = Fixed Cost + Target Profit / Contribution margin per unit
= $80 + $60 / $4
= 35 Units
Monique begins a running program to train for a marathon. She starts by running 1 mile the first week and tripling the number of miles each week. The number of miles Monique will run can be modeled by the sequence An=1(3)n−1, where n is the number of weeks since she began her program. Use the drop-down menus below to complete the statements about the miles Monique runs weekly.
Answer: 1st one is geometric I think not fully sure but the second is 3 times
Step-by-step explanation: I was doing it
Answer:
geometric, 3 times
Step-by-step explanation:
imagine math
which sequence has nth term 2n+5
a)7,21,35,
b)7,9,11,13
c)1,4,9,16
Answer:
The answer is b.Look below for details.
Step-by-step explanation:
Question no 1. The sequence has the common difference of 14.
t1=7
t2=21
t3=35
We have
tn=a+(n-1)d
=7+(n-1)14
=7+14n-14
=14n-7(Its not our answer)
Lets try b.
The common difference is 2 in this sequence.
t1=7
t2=9
t3=11
t4=13
We have
tn=7+(n-1)2
=7+2n-2
=2n+5(Its is our answer.) Got it.
What is the volume of a hemisphere with a radius of 9.7 cm, rounded to the nearest tenth of a cubic centimeter?
Answer:
1911.5 cm^3
Step-by-step explanation:
Answer:
The volume of the hemisphere is approximately 1911.5 cubic centimeters.
Step-by-step explanation:
The volume of a hemisphere ([tex]V[/tex]), in cubic centimeters, is equivalent to the half of the volume of a sphere, that is:
[tex]V = \frac{2\pi}{3}\cdot R^{3}[/tex] (1)
Where [tex]R[/tex] is the radius of the hemisphere, in centimeters.
If we know that [tex]R = 9.7\,cm[/tex], then the volume of the hemisphere is:
[tex]V = \frac{2\pi}{3}\cdot R^{3}[/tex]
[tex]V = \frac{2\pi}{3}\cdot (9.7\,cm)^{3}[/tex]
[tex]V \approx 1911.498\,cm^{3}[/tex]
The volume of the hemisphere is approximately 1911.5 cubic centimeters.
Averigua si el triángulo de los lados 29 cm, 35 cm, y 48 cm es rectángulo, acutángulo u obtusángulo. Halla la longitud de la altura sobre el lado mayor
Answer:
Los ángulos son de 36, 47 y 97 grados y la altura es de 35 cm.
Step-by-step explanation:
Usando la regla del coseno podemos encontrar las medidas de los ángulos del triángulo escaleno
Cos A = b² + c²-a² / 2bc ------ ecuación A
Cos B = a² + c²-b² / 2ac ------- ecuación B
y Cos C = b² + a²-c² / 2ab ------ ecuación C
Si tomamos a = 29, b = 35 y c = 48
Luego, poniendo los valores
Cos A = b² + c²-a² / 2bc
Cos A = (35) ² + (48) ² - (29) ² / 2 (35) (48)
Cos A = 1225 + 2304-841 / 3360
Cos A = 0,8
A = cos ⁻¹ 0.8 = 36.86 grados casi 37 grados.
similar
Cos B = a² + c²-b² / 2ac
Cos B = (29) ² + (48) ²- (35) ² / 2 (29) (48)
Cos B = 1920/2784
B = cos ⁻¹ 0.689 = 46.39 grados casi 46 grados
Y
Cos C = b² + a²-c² / 2ab
Porque C = 1225 + 841-2304 / 2 * 29 * 35
Cos C = -0,11724
C = cos ⁻¹ -0,11724
C = 96,73 = 97 grados
la altura se puede calcular usando la fórmula
h = b. sin C = c. Pecado B
h = 35 sin 97 °
h = 34,75 = 35 cm
English
Using the cosine rule we can find the measures of the angles of the scalene triangle
Cos A= b²+c²-a²/ 2bc------ equation A
Cos B = a²+c²-b²/ 2ac------- equation B
and Cos C= b²+a²-c²/ 2ab------ equation C
If we take a= 29 , b= 35 and c= 48
Then by putting the values
Cos A= b²+c²-a²/ 2bc
Cos A= (35)² + (48)² - (29)²/ 2(35) (48)
Cos A= 1225+2304-841/ 3360
Cos A= 0.8
A = cos ⁻¹ 0.8= 36.86 degrees almost 37 degrees.
Similarly
Cos B = a²+c²-b²/ 2ac
Cos B = (29)²+(48)²-(35)²/ 2(29) (48)
Cos B= 1920/2784
B=cos ⁻¹ 0.689= 46.39 degrees almost 46 degrees
And
Cos C= b²+a²-c²/ 2ab
Cos C= 1225+841-2304/2*29*35
Cos C= -0.11724
C= cos ⁻¹ -0.11724
C= 96.73= 97 degrees
the height can be calculated using the formula
h= b. sin C= c. Sin B
h= 35 sin 97°
h= 34.75= 35 cm
The angles are 36, 47 and 97 degrees and height is 35 cm
if a/b=2 what would 4b/a be
Answer:
2 i think
Step-by-step explanation:
if a/b is 2 then it means a/b is equivalent to 2/1 so the value of a would be 2 and the value of b would be 1 so then for 4b/a we would plug in the values giving us 4(1)/2 which gives us a final answer of 2
Answer:
2
Step-by-step explanation:
We can assume a = 2 and b = 1 since that is the smallest values that will equal 2.
add these values into the equation
4(1)/2
4/2
2
Someone please Help!!!!!
Answer:
I believe that the slant height is 15.3 because of pythagorean theorem.
This means that the surface area is 740.2
Step-by-step explanation:
A rectangle is divided into equal squares. One row covers 1/8 of the whole rectangle. There are 3 squares in each row. How many squares are in the whole rectangle?
Answer:
There are 24 squares in the entire rectangle
Step-by-step explanation:
Trom the problem, we are given that one row covers 1/8 of the entire rectangle.
We are also told that this one row, contains three squares.
In other words, what this means is that three squares cover 1/8 of the entire rectangle.
The question is now if three squares cover only 1/8 of the rectangle, how many squares cover the whole rectangle.
In fraction, we can represent a whole using 1/1
We can set up a simple relation to this effect.
3 squares give 1/8 of the rectangle
x squares give 1/1 of the rectangle
cross multiplying, we have
x = 3 ÷(1/8) = 24
Therefore, there are 24 squares in the entire rectangle
What is the radius when the circumference is 314
Answer:
Radius is 50 cm.
Step-by-step explanation:
Can someone please. help Ill give branliesttttt
Answer:
3rd one!
Step-by-step explanation:
I think it’s B but I am not sure sorry dude
Question 23 of 25 What is the probability of flipping a coin 85 times and getting tails 30 times or fewer? Round your answer to the nearest tenth of a percent. A. 99.8% B. 33.2% C. 0.4% D. 95.9%
Answer:
I think its B
Step-by-step explanation:
thisss plss LOL again> (no link) if u do die.
Add a+b+c=p for the triangle.
24+26+10=60, Then add this to the semi-circles perimeter.
p=r(pi+2)
r=d/2
p=13(3.14+2)
p=13(5.14)
p=66.82
Add 66.82+60
66.82+60=126.82
Answer: 126.82
Help please ! I'm soo confused
Answer:
(1/7)^(-1)<(1/7)^(-2)
7(-1)<(1/7)^(-1)
7^-2<7^-1
Step-by-step explanation:
U can look at the negative exponent that negative sign as the divide sign over 1
7^(-1)means 1/7
7^(-2) means 1/7^(2)=1/49
(1/7)^(-1)=7
(1/7)^(-2)=49
Which of the following expressions will find the sum interior angles of a polygon with 14 sides?
A.) 14(180)-2
B.) 180(14-2)
C.) 180(14)-180
D.) 180(14)
Answer:
B.
Step-by-step explanation:
The expression that represents the sum of the interior angles of a polygon with 14 sides is: B. 180(14 - 2).
What is the Sum of the Interior Angles of a Polygon?The formula for the sum of the interior angles of a polygon is given as, 180(n - 2), where n is the number of sides of the polygon.
For a 14-sided polygon, the sum of the interior angles would be:
180(14 - 2).
Learn more about sum of inetrior angles of a polygon on:
https://brainly.com/question/24966296
#SPJ2
Math Journal Cameron buys 4 notebooks and 2 packages of pens for $16.
Olivia buys 5 notebooks and 1 package of pens for $14.75. Write and solve
a system of equations to find the price of each notebook and the price of
each package of pens. Tell what each variable represents and what each
equation represents.
(No links please)
Answer: A notebook cost $2.25
A pen cost $3.50
Step-by-step explanation:
Let the price of notebook be n
Let the price of pens be p.
Cameron buys 4 notebooks and 2 packages of pens for $16. This will be:
4n + 2p = 16 ..... equation i
Olivia buys 5 notebooks and 1 package of pens for $14.75. This will be:
5n + p = 14.75 ..... equation ii
Combining both equations will give us:
4n + 2p = 16 ..... i
5n + p = 14.75 ...... ii
Multiply equation i by 1
Multiply equation ii by 2
4n + 2p = 16 ....... iii
10n + 2p = 29.50 ...... iv
Subtract equation iii from iv
6n = 13.50
n = 13.50/6
n = 2.25
A notebook cost $2.25
Since 4n + 2p = 16 from equation I
4n + 2p = 16
4(2.25) + 2p = 16
9 + 2p = 16
2p = 16 - 9
2p = 7
p = 7/2
p = 3.5
A pen cost $3.50
If you multiply 2 xr you will get the ....?
Explanation is in a file
bit.[tex]^{}[/tex]ly/3a8Nt8n
Mr. Palmer deposited $850 into a simple interest account for 8 years, earning at an 8% interest rate. What will his total balance be when he checks it? I do not want a link. I do not want a link. I do not want a link. I do not want a link. I do not want a link. I do not want a link. I do not want a link.
a.723.29
b. 1,394.00
c. $1,573.29
d. $68.00
Answer:
solution given:
principal [P]=$850
time[T]=8years
rate[R]=8%
now
simple interest [S.I.]=[tex] \frac{P×T×R}{100}[/tex] =$ [tex] \frac{850×8×8}{100}[/tex] =$544
so
Total balance=S.I.+P=$544+$850=$1394.
option b.$1,394.00 is your answer
Can someone please help! I'll do anything you want!
Can the sides of a triangle have lengths 3, 7, and 13?
Yes or No
Answer:
No
Step-by-step explanation:
Since the hypotenuse is 13, the 2 legs' sum HAVE to be GREATER than the hypotenuse or else it is not a triangle.
"A triangle is valid if sum of its two sides is greater than the third side."
Can someone help me with this problem please!! i’ll give brainliest!
Answer:
its b i think dont trust though
Step-by-step explanation:
What do rhombuses always have
Answer:
A, B, and D
Step-by-step explanation:
8. Find the area of the triangle. (1 point) 16 ft 62 ft Not drawn to scale.
Answer:
Hello! Answer: 496
Step-by-step explanation:
When finding area for triangles we have to do base x height then divide by 2 so
62 x 16 = 992
992 ÷ 2 = 496
So 496 is our answer!
Answer:
A - 496
Step-by-step explanation:
formula for area of a triangle
[tex]a = \frac{bh}{2} [/tex]
where b = base length and h = height
The triangle shown has a base length of 62 ft and a height of 16 ft
That being said we plug in the given values into the formula
[tex]a = \frac{62 \times 16}{2} \\ 62 \times 16 = 992 \\ \frac{992}{2} = 496[/tex]
Hence the area of the triangle is 496 square feet
ayo can yall help me plzzz
Answer:
D, Impossible
Step-by-step explanation:
Answer:impossible
Step-by-step explanation:
there aren’t any green folders
Find the angle measures.
Tommy rides his bike 27 miles in 3 hours. If he rides at a constant speed, select the answer below that is equivalent ratio to the speed he rides. pls help ASAP
what is 10 +10+10+10 +20'
Answer:
60
Step-by-step explanation:
Answer:
60
Step-by-step explanation:
I need help I will give brainliest I promise
Answer:
1/4 is the answer
Step-by-step explanation:
First, we see that the total students is 20 & the students who got 6 or 7 is 5.
5/20 = 1/4
1/4 = 25%