Answer:
While there is a strong relationship between the two, it would certainly be ridiculous to talk about a tree with a circumference of –3 feet, or a height of 3000 feet. When we identify limitations on the inputs and outputs of a function, we are determining the domain and range of the function.
Step-by-step explanation:
Consider the rectangular prism below.
Which equation can be used to find the surface area, SA, of the rectangular prism?
Answer:
Option D
Step-by-step explanation:
Formula for the surface area of rectangular prism = 2(lb + bh + hl)
Here, l = Length of the prism
b = Width
h = Height
If l = 25 cm, b = 12 cm and h = 20 cm
Surface area of the rectangular prism = 2(25×12 + 12×20 + 20×25) cm²
Therefore, Option D will be the correct option.
A large bowl holds 5 2/3 cups of punch. Some more punch is added to the bowl to make a total of 10 cups of punch. Let represent the number of cups of punch that are added to the bowl. Write and solve an equation to find the number of cups of punch that are added to the bowl.
Answer:
4 1/3 cups
Step-by-step explanation:
All you have to do for this one is subtract 5 2/3 from 10, which is 4 1/3. Your equation could be 10-5 2/3=x.
Tom got 15 questions right on a test and scored 75%. How many questions were there total on Tom's test?
Answer: 20 questions
Step-by-step explanation:
Answer:
15/x*100=75
75/100*15=x
x=20
total no. of questions
mandy flips a quater 360 times .how many time should she expect to see heads
Answer:
180
Step-by-step explanation:
What is the value of log 279?
Answer:
I believe it is 2.44560420327
As a fraction it is 2/3
1. Write the exponential function f(x) = -4^(x-2) in the form f(x) = ab^x
Answer:
[tex]\displaystyle f(x)=-\frac{1}{16}(4^x)[/tex]
Step-by-step explanation:
We have the function:
[tex]f(x)=-4^{x-2}[/tex]
And we want to convert this to the exponential form:
[tex]f(x)=ab^x[/tex]
First, using the power of a product property, we can rewrite our function as:
[tex]f(x)=-(4^x\cdot4^{-2})[/tex]
By evaluating the second term, we acquire:
[tex]\displaystyle f(x)=-\big(4^x\cdot \frac{1}{4}^2}\big)=-\big(4^x\cdot \frac{1}{16}\big)[/tex]
So, by rearranging, we acquire:
[tex]\displaystyle f(x)=-\frac{1}{16}(4^x)[/tex]
As desired.
Create an equivalent system of equations using the sum of the system and the first equation.
−5x + 4y = 8
4x + y = 2
Answer: 829393
Bn
Step-by-step explanation:
Answer:
−5x + 4y = 8
−x + 5y = 10
Step-by-step explanation:
if the sales 750 and the commision rate is 5% then what is the commision
Answer:37.5
Step-by-step explanation:
5*750/100 =37.5
Please i really need help
Answer:
3/5 or 60%
Step-by-step explanation:
It looks like you filled in A correctly so I will focus on B
There are 24 cars in the pool and 16 vans totally 40 total vehicles
If were to pick a random vehicle from the pool the odds of it being a car is equal to
number of cars in the pool/number of vehicles in the pool
This means the odds of you randomly picking a car is 24/40 which simplifes
to 3/5
the angles of triangle abc are in the ratio of 8:3:4. what is the measure of all the angles?
Answer:
48:18:24 or ∠A = 48, ∠B = 18, ∠C = 24
Step-by-step explanation:
Since The angles of a triangle add up to 90, then 8 + 3 + 4 should equal to 90 if multiplied by x.
Example:
x(8 + 3 + 4) = 90
x(15) = 90
15/15x = 90/15
x = 6
If x is equal to 6, then 6 times 8, 6 times 3, and 6 times 4, should equal their respective angles and add up to 90.
Example:
8 * 6 = 48
3 * 6 = 18
4 * 6 = 24
48 + 24 + 18 = 90
This means the angles are
48:18:24 or ∠A = 48, ∠B = 18, ∠C = 24
Find the common difference for the following sequence and fill in the missing terms. Show all calculations. 2, 13, 24, 35, __, __
Step-by-step explanation:
Hey there!
Given sequences are; 2 , 13 , 24 , 35 , _ , _ .
Now,
Common difference (d) = 2nd term - 1st term. = 13-2 = 11
When we subtract 1st term from 2nd term we find 11 and when we subtract 2nd term from 3rd term we get 11. This means our common difference is 11.
Now, let's find the nrh term of the sequence.
nth term= a1 + (n-1)d ( a1= 1st term, d= common difference)
nth = 2+ (n-1) 11
= 2 + 11n - 11
= 11n - 9
Let's check if we have got nth term correct.
a1= 1*11 - 9 = 2
a2 = 2*11-9 = 13
a3 = 3*11 - 9 = 24
a4 = 4*11-9 = 35
So, we got our nth term.
Let's find remaining sequence.
a5= 5*11 - 9 = 46.
a6= 6*11 - 9 = 57.
Therefore, the remaining terms are : 46 and 57.
Hope it helps...
2+11=13
13+11=24
24+11=35
35+11=46
46+11=47
Order the following fractions from least to greatest 2/8 2/3 2/9
Answer:
2/9, 2/8, 2/3
Step-by-step explanation:
2/9= 0.22 (to 2 decimal point)
2/8= 0.25
2/3 = 0.67
Work out the volume of this prism.
20cm
13cm
12cm
30cm
21cm
i dont understand help
Answer:
D
Step-by-step explanation:
Answer: I don't really understand, but something in my brain says D haha
what is the value of b?
Answer: b = 2
Step-by-step explanation:
[tex]b = \frac{2\sqrt{2}}{\sqrt{2} }\\b = 2[/tex]
Since this is a 45°-45°-90° triangle, the side opposite the 90° angle is √2× the other two angles. The other two angles are congruent since their opposite angles are both 45°.
Hope this helped! :p
Step-by-step explanation:
2[tex]\sqrt{2}[/tex] is the hypotenuse
The other 2 sides are equal to b since this is a 45-45-90 triangle meaning that it's isosceles
[tex]2b^{2}[/tex] = ([tex]2\sqrt{2}[/tex][tex])^{2}[/tex]
[tex]2b^{2}[/tex] = ([tex]\sqrt{8})^{2}[/tex]
[tex]2b^{2}[/tex] = 8
[tex]b^{2}[/tex] = 4
b= 2
Hope this helps!!!
Sorry for taking so long
What is the area of the following square? (Be sure to include units.)
5 cm
5 cm
Please Help Quick ASAP Hurry Please Solve these please this is 9th grade pre-algebra
Evaluate each expression using the values m=7, r=8 and t=2.
1. 5m-6
2. 4m+t
3. r/t
4. mt
Answer:
1. 29
2. 30
3. 4
4. 14
Step-by-step explanation:
5*7=35 35-6=29
4*7=28 28+2=30
8/2=4
7*2=14
What is the simplified expression for 7 power 4 multiplied by 7 power 6 over 7 power 8?
70
71
72
73
Answer:
The simplified expression of [tex]\frac{7^{4}.7^{6}}{7^{8}}[/tex] is 7² ⇒ C
Step-by-step explanation:
Let us revise some rules of exponent
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{m+n}[/tex][tex]\frac{a^{m}}{a^{n}}[/tex] = [tex]a^{m-n}[/tex]Let us solve the question
∵ The expression is [tex]\frac{7^{4}.7^{6}}{7^{8}}[/tex]
→ By using the first rule above add the exponents of 7
∴ [tex]\frac{7^{4}.7^{6}}{7^{8}}[/tex] = [tex]\frac{7^{4+6}}{7^{8}}[/tex]
∴ [tex]\frac{7^{4}.7^{6}}{7^{8}}[/tex] = [tex]\frac{7^{10}}{7^{8}}[/tex]
→ By using the second rule above, subtract the exponents of 7
∵ [tex]\frac{7^{4}.7^{6}}{7^{8}}[/tex] = [tex]7^{10-8}[/tex]
∴ [tex]\frac{7^{4}.7^{6}}{7^{8}}[/tex] = 7²
∴ The simplified expression of [tex]\frac{7^{4}.7^{6}}{7^{8}}[/tex] is 7²
the answer is 7 power 2
Write the equation of the line that passes through the given points.
(0,- 4) and (2,3)
The equation of the line is( )
Answer:
[tex] \frac{y - ( - 4)}{x - 0} = \frac{3 - ( - 4)}{2 - 0} \\ \frac{y + 4}{x} = \frac{3 + 4}{2} \\ \frac{y + 4}{x} = \frac{7}{2} \\ 2(y + 4) = 7x \\ 7x = 2y + 8 \\ 7x - 2y = 8 \\ 2y = 7x - 8 \\ \boxed{y = \frac{7}{2}x - 4}[/tex]
y=(7/2)x-4 is the right answer.x/3 - 1/2 = 10
show work
Answer:
x = 63/2
Step-by-step explanation:
x /3 = 21 /2
3 . x/3 = 3 . 21/2
x = 63 /2
Need help please?? Triangle angle
Step-by-step explanation:
it's the 2nd one
...................
Estimate.
69.58 -32.24 =
Answer:
37.34 or 37 if rounded
Step-by-step explanation:
Write the equation vertically to make it easier. 8 minus 4 equals 4, 5 minus 2 equals 3, 9 minus 2 equals 7, and 6 minus 3 equals 3.
4.) Jaimee is driving to Pigeon Forge. On her map, it says this is a
distance of 9 1/4 inches away. The scale of the map is 1/2 inch = 75 miles.
How far must Jaimee travel to reach Pigeon Forge?*
Answer: 1387.5 miles
Step-by-step explanation:
hope this helps :)
frank can purchase bags of apples in four sizes . which size is the best buy ?
Answer:
Step-by-step explanation:
Well what are the sizes of the bags, and what are the prices of the bags
is y=1/2x+10 a linear equation
In Mr. Dixon's math class, 7 out of 20 students are in the math club. What percent of the students are in the math club?
Answer:
35%
Step-by-step explanation:
Find the sum of (-4 + 1) and (10 – 5:).
Answer:
6 - 4i
Step-by-step explanation:
-4 + i = 10 - 5i
+4 +4
i = 14 + 5i
-5i -5i
-4i = 14
i = -3.5
Answer:
6-4i
Step-by-step explanation:
Find the coordinates of triangle ABC A(2,1) B(3,0) C(1,-2) after a dilation with a scale factor of 3
Answer:
Remember the key word”factor” which means to multiply. Multiple all those numbers by 3!
Step-by-step explanation:I’m going to do 2 of them and you can do the last one (2,1)x3= the dilation (6,3). (3,0)x 3 gives the dilation (9,0). (1,-2)x3 gives the dilation of (3,-6). See it’s very easy.
Round the decimal equivalent of 856 1/6 to the nearest hundredth. What number is in the hundredth place PLEASE HELP
Answer:
The answer is 856.17.
Step-by-step explanation:
If you made the fraction into a decimal, you would get 856.166666666. If you round it to the nearest hundredth, you would get 856.17.
What is the area of the triangle in the diagram?
Answer:
A is the correct answer
Step-by-step explanation:
We need to figure out the base and the height. We can do that using pythagorean's theorem.
The others either misused the pythagorean theorem or got the 1/2*base*height formula wrong, so A is the answer.