Answer:
The scientific notation for 0.000472 is 4.72 * [tex]10^{-4}[/tex].
During each of the past three months, Tyler grew
by the following amounts: 1/8in., 3/16in., and 1/4in.
What is Tyler's total amount of growth over these
three months?
Answer with supporting work:
y=3x+−7
Find the slope.
A. 7
B. -7
C. 3x
D. 3
Answer:
D.3
Step-by-step explanation:
In the equation for a line in the form y=mx+c, m represents the slope.
Therefore the slope is 3.
Answer:
D
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 3x + - 7 ← is in slope- intercept form
with slope m = 3
Jack invested $7,600 in an account paying an interest rate of 6\tfrac{1}{4}6 4 1 % compounded continuously. John invested $7,600 in an account paying an interest rate of 6\tfrac{3}{4}6 4 3 % compounded quarterly. After 19 years, how much more money would John have in his account than Jack, to the nearest dollar?
Answer: John would have $1371.33 more in his account than Jack.
Step-by-step explanation:
Formula to calculate amount after t years if compounded continuously:
[tex]A=Pe^{rt}[/tex]
Formula to calculate amount after t years if compounded quarterly:
[tex]A=P(1+\dfrac{r}{4})^{4t}[/tex]
, where P= Principal amount, r= rate of interest.
Given: P= $7,600
t=19 years
For Jack, [tex]r=6\dfrac{1}{4}\%=\dfrac{25}{4}\%=\dfrac{25}{400}=0.0625[/tex]
For John, [tex]r=6\dfrac{3}{4}\%=\dfrac{27}{4}\%=\dfrac{27}{400}=0.0675[/tex]
Amount in Jack's account after 19 years= [tex]7600e^{0.0625(19)}[/tex]
[tex]=7600e^{1.1875}\\\\=7600(3.27887376794)\\\\\approx\$24,919.44[/tex]
Amount in John's account after 19 years= [tex]7600e^{0.0675(19)}[/tex]
[tex]=7600(1+0.0675)^{19}\\\\=7600(3.45931245291)\\\\\approx\$26,290.77[/tex]
Difference = 26290.77-24919.44 = $ 1,371.33
John would have $1371.33 more in his account than Jack.
Answer:668
Step-by-step explanation: I just did it.
I would need you to tell me the answers to each question (3 questions)
Step-by-step explanation:
For no. 4
x = 180° - 98° - 50°
x = 32°
For no. 5
x = 180°- 67°-56°
x = 57°
For no. 6
x = 180° - 22° - 47°
x = 111°
Hope it will help :)❤
The number 650,000 written in scientific notation would be _____.
A.6.5 × 10 -5
B.6.5 × 10 5
C.65 × 10 4
D.0.65 × 10 -6
Answer:
B
Step-by-step explanation:
650000 = 10⁵x 6.5
Answer:
The answer is b.
Step-by-step explanation:
Part B: Melissa designed the kite shown and would like to know the minimum amount of fabric needed to cover the kite. Each unit is 1 inch,
48 in
69 in
286 in
572 in?
Answer:
69.4 inches
Step-by-step explanation:
A kite is a quadrilateral (has four sides and four angles) with two pairs of congruent adjacent sides. The diagonals of a kite are perpendicular to each other.
To prove that quadrilateral ADBC is a kite, the diagonals of the kite have to be perpendicular to each other.
AD ⊥ BC.
Since adjacent sides are equal to each other, hence:
BC = BD, AC = AD
The coordinate of the vertices are A(11, 0), B(11, 26), C(0, 18) and D(22, 18)
[tex]BC=\sqrt{(0-11)^2+(18-26)^2} =13.6\ unit\\\\AC=\sqrt{(0-11)^2+(18-0)^2} =21.1\ unit[/tex]
BC = BD, AC = AD
Perimeter of kite = BC + BD + AC + AD = 2BC + 2AC = 2(13.6) + 2(21.1) = 69.4 units = 69.4 inches
Answer: 69
Step-by-step explanation:
Find the area. Simplify your answer.
Answer:
x = 26
Step-by-step explanation:
it is a right angle so
(x+4)3=90
3x+12=90
-12 -12
3x = 90-12
3x = 78
/3 /3
x = 26
Explain how I would use Distributive Property (GCF) to factor the following expression: 4m + 16
Answer:
4(m+4)
Step-by-step explanation:
4m+16
Rewriting
4*m + 4*4
Factor out 4
4(m+4)
What is the equation for a line that passes through the points (-4,-3) and (8,12)?
Answer:
y = 1.25x + 2
Step-by-step explanation:
Answer:
Step-by-step explanation:
( -4 , -3 ) ( 8 , 12 )
12 + 3 15 = 5
8 + 4 12 = 4
↑ slope = 5/4
↓ point slope form: y - y₁ = m ( x - x₁ )
y + 3 = 5/4 ( x + 4 )
y + 3 = 5/4x + 5
-3
y = 5/4x + 2
One number is 6 less than 5 times the other number. Their sum is 60. Find the numbers.
Answer:
The numbers are 11 and 49.
Step-by-step explanation:
x = 5y - 6 This is just the first sentence written as an equation.
x + y = 60 This is just the second sentence written as an equation.
5y - 6 + y = 60 Substitute x for what you know it is equal to
6y - 6 = 60 Collect like terms
6y = 66 Add 6 to each side
y = 11 Divide each side by 6
x = 5 × 11 - 6 Substitute y for what you know it is
x = 55 - 6 Simplify by working out 5 × 11 = 55
x = 49 Subtract 6 from 55 to get 49
When the angle of elevation of the sun is 78 degrees, a tree casts a 13 foot shadow. How tall is the tree?
Answer: 61.16 ft
Step-by-step explanation:
We can think in this situation as a triangle rectangle.
where:
The height of the tree is one cathetus
The shadow of the tree is the other cathetus.
We know that the angle of elevation of the sun is 78°, an angle of elevation is measured from the ground, then the adjacent cathetus to this angle is the shadow of the tree. And the opposite cathetus will be the height of the tree.
Now we can remember the relationship:
Tg(A) = (opposite cathetus)/(adjacent cathetus)
Where:
A = 78°
Adjacent cathetus = 13ft
opposite cathetus = height of the tree = H
Then we have the equation:
Tg(78°) = H/13ft
Tg(78°)*13ft = H = 61.16 ft
Don notices that the side opposite the right angle in a right triangle is always the longest of the three sides. Is this also true of the side opposite the obtuse angle in an obtuse triangle?
Answer:
Yes
Step-by-step explanation:
The line has to be loner to connect the other two.
I need help ASAP please
Answer:
x = 6
Step-by-step explanation:
The area of a triangle is equal to the base times the height divided by two. In this case, the base is 6 (or x, it doesn't really matter) and the height is x (or 6, it doesn't matter). That means that the area of this triangle is equal to 6 * x divided by 2, which is also equal to 18. we can say that 6x/2 = 18, meaning that 6x = 36, so x = 6.
50 POINTS!
In the diagram, d = 4. What is the value of x? Express your solution in simplest radical form, if necessary.
Answer:
146
Step-by-step explanation:
180=4+30+x
180=34+x
180-34=x
146=x
Which are the partial products for 8x362? Select all that apply.
Answer:
Are you guys classmates?
Max ran 3 1/3 mile yesterday and 2 1/3 miles today. How far did max run in all?
Answer: 5 2/6
Step-by-step explanation:
Answer:
5 2/3
Step-by-step explanation:
3 1/3 + 2 1/3
10/3 + 7/3
= 17/3
= 5 2/3
I hope I helped!!
Rhian sat a maths test and an English test. in the maths test, she scored 14/17. in the English test, she scored 31/39. in which test did she do better
Answer:
She did better on the Math test.
Step-by-step explanation:
14/17 is 82 percent, and 31/19 is only about 80%.
what is the sum of 8bb-4bb
Answer:
4bb
Step-by-step explanation:
Answer:
4bb
Step-by-step explanation:
Because you need to combine like terms
Hope this helped!! :)
Stay safe and have a wonderful day/night!!!!!
Brainliest?!?!
(This is too easy)
360 miles in 6 hours unit rate
Answer:
60 miles per hour
Step-by-step explanation:
360 miles / 6 hours = 60 miles per hour
Answer:
60, I hope this helped and please mark brainliest!
Step-by-step explanation:
This would be 60 miles per hour since you divide 360 by 6. So the rate is 60.
secA-tanA/secA+tanA=cos^2A/(1+sin^2A) could somebody prove this pls......
9514 1404 393
Answer:
it cannot be proven
Explanation:
You cannot prove what isn't true.
We know you know how to use parentheses, so we take the left-side expression at face value. The left-side and right-side functions are different, so cannot be proved to be the same, except at specific angles.
PLEASE HELP ASAP!!
In 2015, the cost of bread was $0.40. In 2021, the cost of bread is $2.00. What is the percent of change?
ILL GIVE BRAINLIEST
A costume designer is using exactly 264 yards of green fabric to make 36 frog costumes. If each costume requres the same amount of fabric, how many yards will be used for each one?
Answer:
Each costume will take 7 1/3 yards of green fabric
Step-by-step explanation:
They would each take this much because 264/36 is 7 1/3 which shows the total amount of fabric divided into each of the 36 costumes evenly.
A random sample of 1000 people who signed a card saying they intend to quit smoking were contacted 9 months later. Turned out that 210 (21%) of the sampled individuals had not smoked in the past 6 months. What is the population, parameter, sample and statistic?
Answer:
Population is the total number of people that fall into the description of those that the research concerns.
In this case, Population is: Everyone who signed a card saying that they intend to quit smoking.
Sample. This is a subset of the population that the research is based on.
Sample = 1,000 people surveyed.
Parameter and Statistic are both descriptive measures but parameter is for the population and statistic is for the sample.
Parameter = Percentage of total population who have not smoked in 6 months.
Statistic = 21% of sample who have not smoked in 3 months.
can someone help me on this and plz explain
please help asap!!!!
Answer:
x ≤ 7.5
Step-by-step explanation:
First, get x alone by multiplying both sides by 3 (to get rid of the fraction)
3 (1/3x) ≥ 3(2.5)
x ≤ 7.5
(The sign will flip whenever you multiply or divide in an inequality)
Since the sign is 'less than or equal to' you need a closed dot on 7.5, and it will be a ray pointing left, because x will be a number smaller (aka less than) than 7.5
Show that the line 3y = 7 + 5x is perpendicular to the line 5y = 4 - 3x.
Answer:
Proven Below
Step-by-step explanation:
If we rearrange these equations, we get that 3y = 5x + 7 and that 5y = -3x + 4. Next, to find what y equals on both equations, we divide by 3 on both sides of the first equation, where we would get that y = 5/3x + 7/3, and then divide by 5 on both sides of the second equation, where we would get that y = -3/5x + 4/5. Now, to see if two lines are perpendicular to each other, we have to see if the slopes (The number being multiplied by x. Ex.) In the equation y = 3/4x + 4, the slope is 3/4) are opposite reciprocals (If you multiply them and they are equal to -1. Ex.) 3/4 * -4/3 is equal to -1, so they are opposite reciprocals). In this case, we have -3/5 and 5/3 as slopes, and -3/5 * 5/3 is equal to -1, so they are perpendicular.
Answer:
The slope of the first line is 5/3
The slope for the second one is -3/5
If you multiply the 2 slope you have to end up with - 1
So 5/3*(-3/5)=-15/15 which is - 1
So yes the lines are perpenducular
A weight of 6 lb stretches a spring a distance of 12 in. Find the constant k for the spring.
Answer:
Let F = the force (6 lbs) and x be the distance that the spring is stretched (12 inches).
F = kx
6 lb = k*(12 in.)
6/12 = k = 0.5 lb/in.
A weight of 6 lb stretches a spring a distance of 12 in. The constant k for the spring will be 0.5 lb/in.
How to obtain acceleration from force applied on an object?If the object is of mass m kg and force applied on it is of F N in the direction of motion, then the acceleration of that object is evaluated as:
a= F/m
Given; A weight of 6 lb stretches a spring a distance of 12 in.
Also,
Let F = the force and x be the distance that the spring is stretched
F = kx
6 lb = k*(12 in.)
6/12 = k = 0.5 lb/in.
Therefore, the constant k for the spring will be 0.5 lb/in.
Learn more about spring here;
https://brainly.com/question/13258939
#SPJ2
A rectangle is such that the length of 2 of each adjacent sides are in the ratio 1:3. A similar rectangle has 1 side of 6cm. Find 2 possible values for the length of each adjacent sides.
Answer:
18 cm ;
2 cm
Step-by-step explanation:
Length of each adjacent side = 1 :3
If 1 side = 6 ; the possible values of the adjacent side ;
That is side 2 ÷
If side 1, which is 6cm is the ratio 1 ; then side 2 = 6cm * 3 = 18 cm
If side 1, which is 6cm is the ratio 3 ; then side 2 = 6cm / 3 = 2 cm
Hence, the two Possible values of the adjacent side = 18 cm or 2 cm
Find the value of x.
Answer:
x=7
Step-by-step explanation:
Since the two lines, the transversal intersects are parallel we know that the angles are same-side interior. This means they are supplementary or add up to 180. Therefore, to solve add the two expressions and set them equal to 180, then solve with properties of equality.
14x+7+10x+5=180
First, add like terms
24x+12=180
Then, subtract 12 from both sides
24x=168
Next, divide both sides by 24
x=7
Problem situation:
Janelle is at the movie theater and has $20
to spend.
She spends $8 on a ticket and wants to buy some snacks. Each snack costs $4.99.
How many snacks, x, can Janelle buy?
Inequality that represents this situation:
20 > 8 + 4.99x
Drag each number to show if it is a solution to both the inequality and the problem
situation, to the inequality only, or if it is not a solution.
Answer:
Rewrite so x is on the left side of the inequality.
8 + 4.99x < 20
Move all terms not containing x to the right side of the inequality.
4.99x < 12
Divide each term by 4.99 and simplify.
x < 2.405
The result can be shown in multiple forms.
Inequality Form:
x < 2.405
Interval Notation:
( −∞ , 2.405 )
Step-by-step explanation:
Answer:
Both:
1
2
Inequality Only:
-4
3/4
2.3
Neither:
2.5