. Find the slope of the line containing the points (3,-7) and (4,-9).
Answer:
m=-2
Step-by-step explanation:
the formula for slope (m) is (y2-y1)/(x2-x1)
the given points are (3,-7) and (4,-9)
label the points;
x1=3
y1=-7
x2=4
y2=-9
substitute into the equation:
m=(-9--7)/(4-3)
m=(-9+7)/(1)
m=-2/1
the slope is -2
hope this helps!
Find a ratio for the tangent of 32
Answer:tan c
Step-by-step explanation:
The sales-tax rate was 7%. The two CDs cost $15.49 each. What was
the total cost of the two CDs including tax?
Answer:
$16.57
Step-by-step explanation:
15.49 increase 7% =
15.49 × (1 + 7%) = 15.49 × (1 + 0.07) = 16.5743
Select the correct answer.
What is 7^5 equal to?
A.
7 x 5
B. 5 x 5 x 5 x 5 x 5 x 5 x 5
C.
7 x 7 x 7 x 7x7
D. 5^7
Answer:
c
Step-by-step explanation:
7^5 means that there are 5 7s eg 2^4 would be 2×2×2×2
A recipe for cookies calls for 2/3 of a cup of sugar. Elena used 5 1/3 cups of sugar to make multiple batches of cookies. How many batches did she make?
Answer:
8 batches
Step-by-step explanation:
A recipe for cookies calls for 2/3 of a cup of sugar. Elena used 5 1/3 cups of sugar to make multiple batches of cookies. How many batches did she make?
From the above question, 1 recipe = 1 batch of cookies
Hence:
2/3 cup of sugar = 1 batch of cookies
5 1/3 cups of sugar = x batches of cookies
Cross Multiply
2/3 cup × x batches = 5 1/3 cup × 1 batch
x batches = 5 1/3 cup × 1 batch/2/3 cup
x batches = 16/3 ÷ 2/3
x batches = 16/3 × 3/2
= 8 batches
Therefore she made 8 batches
The figure below shows a right triangle:
What is r ÷ p equal to? (6 points)
Group of answer choices
A. sin y°
B. sin x°
C. tan y°
D. tan x°
Answer:
tan y°
Step-by-step explanation:
by using the Sine Rule (See attached), we can form the equation:
[tex]\frac{r}{sin (y)} = \frac{p}{sin (x)}[/tex]
rearranging this, we get:
[tex]\frac{r}{p} =\frac{sin(y)}{sin(x)}[/tex] ---------------------eq 1
Recall that all internal angles of a triangle must sum to 180°. we observe that we have a right triangle where one of the angles is 90°. It then follows that the sum of the other two angles must sum to 90°
i.e x + y = 90°
with a little rearranging, we get
x = (90° - y)
Substituting this into eq 1 above, we get:
[tex]\frac{r}{p} =\frac{sin(y)}{sin(90- y)}[/tex] ---------eq 2
recall that from the trigonometric co-function identities,
sin (90°- y) = cos y
substituting this into eq 2 gives :
[tex]\frac{r}{p} =\frac{sin(y)}{cos(y)} = tan(y)[/tex] (answer)
A rectangle has side lengths of x+1 and 1. What is an expression for the area of the rectangle?
These are the choices...
3
x + 1
x + 2
2x + 3
Thank You!!!
Answer:
x+1 SQUARE units
Step-by-step explanation:
Area of a rectangle is height times width or you could just say the length on one side times the length of a side right next to it.
If the rectangle is x+1 units long and 1 unit high, then the answer is (x+1) x 1 = x +1 because anything times 1 is always just what you started with.
Find the value of the missing base:
Answer:
25 (with assumptions)
Step-by-step explanation:
ASSUMING ES=SD and FT=TG, then the difference between EF and ST is the same as the difference between ST and DG. Since ST - EF = 19 - 13 = 6, then DG - ST = 6 or DG - 19 = 6, add 19 to both sides and DG = 25
what is 3/4b>15 solution
The solution set of the given inequality is {b| b > 20}.
How to solve the inequality?Here we have the inequality (3/4)b > 15 and we want to solve it. To do so, we just need to isolate the variable b.
And to do it, we can work with this like we would do with any equation, we can just multipy both sides by (4/3) so we get:
(4/3)*(3/4)*b > 15*(4/3)
b > 20
Then the solution set can be written as {b| b > 20}
That is the set of all values larger than 20.
Learn more about inequalities at:
https://brainly.com/question/24372553
#SPJ1
Please help i am timed
Select the outlier in the data set.
21
52
32
33
28
30
36
40
86
38
34
19
Answer:
86
Step-by-step explanation:
21 36
52 40
32 86
33 38
28 34
30 19
pls help i really need it!!!!!
i dont understand how to do it
a)7x = 13x – 12=
pls help fast also need steps
Answer:
x= 2
Step-by-step explanation:
7x = 13x -12
0= 13x-12-7x
12= 13x-7x
12= 6x
2= x
you need to bring all the X's to one side then solve from there
Answer:
x=2
Step-by-step explanation:
7x=13x-12
Subtract 13x from both sides
7x-13x=13x-12-13
-6x=12
Divide both sides by -6
-6x/-6=-12/-6
simplify
x=2
Which equation represents the situation:
A 20 year old is the same height as a 30 year
A. f(20) = 30
B. f(30) = 20
C. f(30) = f(20)
D. f(20) > f(30)
E. f)20) < f(30)
PLS I NEED HELPP
Answer:
the answer of this question is C. f(30) = f(20)
3x -4y = 13 y = -3x-7
Step-by-step explanation:
3x-4y=13
y=-3x-7
3x-4(-3x-7)=13
3x+12x+28=13
15x=-15
x= -1
y= -3x-7 = 3-7= -4
( -1, -4)
A new bed costs $1,200. If the tax rate is 8.25%, how much will the bed cost including tax?
Answer:
1299
Step-by-step explanation:
To find the equivalent of the persentege in money u do
(8.25)/100 *1200
that is 99
than u simply do 1200+99=1299
Subtract 4x2 – 7x +6 from 2x2 – 5x – 4. Express as a trinomial
Answer: -2x²+2x-10
Step-by-step explanation:
Rephrase the expression
Subtract 4x²-7x+6 from 2x²-5x-4
(2x²-5x-4)-(4x²-7x+6)
Expand parenthesis
2x²-5x-4-4x²+7x-6
Put like terms together
(2x²-4x²)+(7x-5x)-(4+6)
Combine like terms
-2x²+2x-10
Hope this helps!! :)
Please let me know if you have any questions
In this 45-45-90 triangle, I have been given a leg, so
to find the other leg I...
Chenelle has a savings account that earns 5% simple interest each year. She can only deposit small amounts into her account each month. Should Chenelle keep her account open even though she can deposit only a small amount each month?
Answer:
Yes, she should.
Step-by-step explanation:
5% may not seem like a lot. Lets say she deposits $20 per month. That's $240 a year. Lets also say you keep this for 6 years, you'll have $72 from interest. The more amount she puts in the more she'll gain.
First, converting R percent to r a decimal
r = R/100 = 5%/100 = 0.05 per year,
then, solving our equation
I = 240 × 0.05 × 6 = 72
I = $ 72.00
The simple interest accumulated
on a principal of $ 240.00
at a rate of 5% per year
for 6 years is $ 72.00.
Yes, she should keep her account open even though she can deposit only a small amount each month.
Calculation of keeping the account:Since Chenelle has a savings account that earns 5% simple interest each year.
So here we assume that she deposit $20 per month
So for year it should be 240
And the number of years should be 6 so the interest be like 72
Now
I = 240 × 0.05 × 6
I = 72
Hence, Yes, she should keep her account open even though she can deposit only a small amount each month.
Learn more about interest here: https://brainly.com/question/24455071
3.Find the surface area of the figures
(a) 5cm
C
12cm
8 ft.
Area
8 ft.
15 ft.
Answer:
?
Step-by-step explanation:
1 Jesy invests £8000 for n years in a savings account.
To find the value, V, of her investment after n years she uses the formula:
V = 8000 × (1.025)n
(a) Write down the annual rate of interest Jesy earns.
(b) Find the total amount of interest Jesy earns in three years.
(Total for question 1 is 3 marks)
Answer:
2.5% , $8608
Step-by-step explanation:
Given data
From the given the expression V = 8000×(1.025)^n
The rate is given as
2.5%
For n= 3
The total amount is
V = 8000 × (1.025)^3
V= 8000*1.076
V= $8608
Hence the final amount is $8608
is 4 to 7 the same as 7 to 4? Explain why or why not
They are not the same
The reason why they arent that same is bc they both are in different orders i hope this helps u and may i get brainliest? <3
Lucky you it's sale time at Best Buy! This TV was originally $229 it's now on sale for 25% off. How much is the TV now?
Answer:
0.000725 i think :)
Step-by-step explanation:
Divide the number by 100 (move the decimal place two places to the left).
Multiply this new number by the percentage you want to take off.
pls help with this problem!
Answer:
X=11
b. 30
c. 30
Step-by-step explanation:
3(x – 4) = 2(–2x + 1) x=
Answer:
X=2
Step-by-step explanation:
3x-12=-4x+2
7x-12=2
7x=14
x=2
Factor to write an equivalent expression: 36a-16
Answer:
4(9a−4)
Step-by-step explanation:
***HURRY TIMED TEST***
***WILL MARK BRAINLEST***
If f(x) = 8x + 7 and g(x) = square root x + 2, what is (fºg)(2)?
Answer:
[tex]8x + 7 =15 \\ gx + 2 =4 \\ [/tex]
If on a scale drawing 5 inches represents 80 feet, then inch would represent how many feet?
16 feet
4 feet
8 feet
12 feei
Answer:
16 feet
Step-by-step explanation:
5 inches = 80 1 inch = 80/5= 16feet
Answer:
x=12 ft
Step-by-step explanation:
5/80=.75/x
5x=60
x=12 ft
What is the circumference of a circle with a radius of 9.4 centimeters?
Please help fast!!
Answer:
The answer to this equation should be 59.06 I hope I helped:)