Answer:
4z-(3z) z
Step-by-step explanation:
I hope that helps
help me find the slope of this imagine. it a quizizz question and i cant figure it out
Answer:
slope = [tex]\frac{5}{2}[/tex]
Step-by-step explanation:
Select any 2 ordered pairs from the given table, the use the slope formula to calculate the slope m
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (2, 5) and (x₂, y₂ ) = (4, 10) ← 2 ordered pairs from table
m = [tex]\frac{10-5}{4-2}[/tex] = [tex]\frac{5}{2}[/tex]
Solve x/12+1/3=5/6 please help me resolve
Subtract 1/3 from both sides
x/12 = 5/6 - 1/3
Simplify 5/6 - 1/3 to 1/2
x/12 = 1/2
Multiply both sides by 12
x = 12 × 12
Simplify 1/2 × 12 to 12/2
x = 12/2
Simplify 12/2 to 6
x = 6
Samantha is considering investing $1,000 in a savings account that earns 3.55% interest and compounds annually. Which of the following function rules would appropriately model Samantha’s investment? a. f(x) = 3.55x + 1000 b. f(x) = 3.55(1000)x c. f(x) = 1000(.0355)x d. f(x) = 1000(1 + .0355)x
Answer:
Option d. [tex]f(x)=\$1,000(1+0.0355)^{x}[/tex]
Step-by-step explanation:
we know that
The compound interest formula is equal to
[tex]A=P(1+\frac{r}{n})^{nt}[/tex]
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
n is the number of times interest is compounded per year
in this problem we have
[tex]t=x\ years\\ P=\$1,000\\ r=0.0355\\n=1[/tex]
substitute in the formula above
[tex]A=\$1,000(1+\frac{0.0355}{1})^{1*x}[/tex]
[tex]A=\$1,000(1+0.0355)^{x}[/tex]
Convert to function notation
[tex]f(x)=\$1,000(1+0.0355)^{x}[/tex]
If the sum of five odd consecutive integers is 295. What is the middle integer?
Answer:
59Step-by-step explanation:
n - 4, n - 2, n, n + 2, n + 4 - five odd consecutive integers
The equation:
(n - 4) + (n - 2) + n + (n + 2) + (n + 4) = 295 combine like terms
(n + n + n + n + n) + (-4 - 2 + 2 + 4) = 295
5n = 295 divide both sides by 5
n = 59
what is the solution to the equation if you solve a? 2a -3b = -9
Answer:
2x-1 x -3x1=-9?
Step-by-step explanation:
This might be the right answer unless it is multiple choice
What scale factor was applied to the first rectangle to get the resulting image?
Enter your answer as a decimal in the box.
the scale factor is .25
6×.25=1.5
Inverse of y equals 12 to the x
Answer:
[tex]f^{-1}(x) = log_{12}(y)[/tex]
Step-by-step explanation:
We have the following function
y = 12^x, and we need to find the inverse function.
To find the inverse function we should solve the equation for "x". To do so, first, we need to:
1. Take the logarithm in both sides of the equation:
lg_12 (y) = log _12 (12^x)
(Please read lg_12 as: "Logarithm with base 12")
From property of logarithm, we know that lg (a^b) = b*log(a)
Then:
lg_12 (y) = x*log _12 (12)
We also know that log _12 (12) = 1
Then:
x = log_12(y).
Then, the inverse of: y= 12^x is:
[tex]f^{-1}(x) = log_{12}(y)[/tex]
if f(x)=3/x+2-sqrt x-3 f(7)
Answer:
-3.2171798824
Step-by-step explanation:
Find the perimeter of parallelogram ABCD with vertices A(–2, 6), B(1, 2), C(–2, –2), and D(1, –6).
Answer:
The perimeter = 26 unites
Step-by-step explanation:
* Lets revise some facts of parallelogram
- Every two opposite sides are parallel and equal
- Every two opposite angles are equal
- Every two adjacent angles are supplementary
- Th two diagonals bisects each other
- The perimeter = 2(S1 + S2)
* Now lets solve the problem
- ABCD is a parallelogram, where
A = (-2 , 6) , B = (1 , 2) , C = (-2 , -2) , D = (1 , -6)
- To find the perimeter we need the length of AB and BD
- The rule of the distance between two point is
d = √[(x2 - x1)² + (y2 - y1)²]
* Lets find AB
∵ AB = √[1 - -2)² + (2 - 6)²] = √[(3²) + (-4)²]
∴ AB = √25 = 5
* Lets find BD
∵ BD = √[(1 - 1)² + (-6 - 2)² = √[(0)² + (-8)²]
∴ BD = √64 = 8
* Lets find the perimeter
∵ The perimeter = 2 (5 + 8) = 26 unites
Answer:
26 units
Step-by-step explanation:
The attached image shows the coordinates drawn as a parallelogram.
The perimeter is sum of all the sides, AB + BD + DC + CA
Both BD and CA are straight lines with 8 units
AB and DC are not straight lines. So we need to find it using the pythagorean theorem, which is , one leg squared of a triangle + another leg squared will give us hypotenuse squared.
Looking at the triangle AYB, we can write and solve for AB:
[tex]AY^2+YB^2=AB^2\\4^2 + 3^2 = AB^2\\16+9=AB^2\\25=AB^2\\AB=5[/tex]
we can use the same argument and lengths for the triangle CXD. We will have DC = 5 units
Perimeter = AB + BD + DC + CA = 5 + 8 + 5 + 8 = 26 units
The large rectangle below represents one whole. What percent is represented by the shaded area?
Answer: 44%
Step-by-step explanation:
From the given picture , it can be seen that the rectangle is divided into 25 equal sections.
The number of shaded sections= 11
Now, the percent is represented by the shaded area is given by :_
[tex]\dfrac{\text{Number of shaded sections}}{\text{Total sections}}\times100\\\=\dfrac{11}{25}\times100=44\%[/tex]
Hence, the percent is represented by the shaded area =44%
Answer:
44%
Step-by-step explanation:
The ratio of shaded pieces to total pieces is 11 : 25.
Percent means per hundred.
So, we need an equivalent ratio that will tell us how many pieces would be shaded out of 100 total pieces.
44:100= 44 per hundred = 44%
44% is represented by the shaded area.
Hope this helped!! :D
Please help me ~ Ocean
Hi! The answer is c downloads per a day
Which option shows the graph of 4y + 8 < -3x
Answer:
The graph would look like this
Step-by-step explanation:
The equation is less than so it is below the dotted line. The line is dotted becuase the answer is equal to anything on the line.
The graph will be a dashed line and the region below the line is hatched. Then the correct option is A.
What is the graph of the function?The collection of all coordinates in the planar of the format [x, f(x)] that make up a variable function's graph.
The linear function is given below.
4y + 8 < -3x
The graph will be a dashed line and the region below the line is hatched.
Then the correct option is A.
The missing options are attached below.
More about the graph of the function link is given below.
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Find the approximate area of a circle thet has a diameter of 17 inches. Round your answer to the nearest hundredth
A. 26.69 in 2
B. 106.76 in 2
C. 226.87 in 2
D. 53.38 in 2
C. 226.87 in 2
Using the area of a circle formula
A=πr2
Answer:
226.87 in^2
Step-by-step explanation:
Formula
Area = pi*r^2
r = d/2
Givens
pi = 3.15
d = 17 inches.
Solution
r = d/2
r = 17/2
r = 8.5
Area = pi*r^2
Area = 3.14 * 8.5^2
227.87 in^2
You have 1 case of soap bars and there is 150 bars in a case you use 300 bars of soap per day how many cases do you need to order to have enough for 7 days?
Answer: There are 150 bars in a case, and 2 cases per day are used (or 300 bars), Thus, in 7 days you would use 7 x 2 or 14 cases, or 2100 bars.
Step-by-step explanation:
Answer:
14 cases of soap bars.
Step-by-step explanation:
In one case of soap bars there is = 150 bars
You use amount of soap bars per day = 300
You need to order to have enough for 7 days = 300 × 7 = 2100 bars
150 bars ⇒ 1 case
2100 bars ⇒ [tex]\frac{2100}{150}[/tex] = 14 case
You need to order 14 case of soap bars for 7 days.
simplify
[tex] \frac{x^{2} + 12x + 36 }{x^{2} + 4x - 12 } [/tex]
Answer:
(x-2)/(2x+8)
Step-by-step explanation:
The first step to solve this expression is to use a² - 2a b + b² = (a - b)² to factor the expression
Factor out 2 from the expression
Write 2x as a difference
Factor out x from the expression
Factor out -2 from the expression
Factor out x + 4 from the expression
Reduce the fraction with x - 2
Finally,, distribute 2 through the parenthesis to find your answer
This means that the correct answer to your question is (x-2)/(2x+8)
Answer:
x + 6
----------- for all x EXCEPT x = -6
x + 2
Step-by-step explanation:
Note that the numerator, x^2 + 12 x + 36, factors into (x + 6)^2, and that
the denominator factors into (x + 6)(x - 2).
Thus, the given expression reduces to:
(x + 6)(x + 6)
-----------------------
(x + 6)(x + 2)
and can be reduced to:
x + 6
----------- This is true for all x EXCEPT x = -6. At x = -6, the expression
x + 2 is not defined.
sally skates 1/4 mile 1/2 hour. at what speed does sally skate
Answer:
She skates at 0.5 miles per hour :) hope it helped
Please Help File Below
Answer:
[tex]\frac{1}{6}[/tex]
Step-by-step explanation:
P(tail ) = [tex]\frac{1}{2}[/tex]
numbers less than 3 are 1 and 2, hence
P(number < 3 ) =[tex]\frac{2}{6}[/tex] = [tex]\frac{1}{3}[/tex]
P(tail ) and P(number < 3 )
= [tex]\frac{1}{2}[/tex] × [tex]\frac{1}{3}[/tex] = [tex]\frac{1}{6}[/tex]
What is the measure of angle A?
Answer:
∠A = 58°
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ACD is an exterior angle
∠A and ∠B are the opposite interior angles, thus
∠A + 80 = 138 ( subtract 80 from both sides )
∠A = 58°
Let f(x)=10x+2,g(x)=2^x, and h(x)=x^2+2x+1. Which function has the greatest output value for x=2.
A. Function f
B. Function g
C. Function h
The right answer is Function F.
Explanation:
f(x)=10(2)+2=22
g(x)= 2^(2)=4
h (x)=(2)^2+2 (2)+1=9
Answer:
A, Function f
Step-by-step explanation:
to see which function has the greatest output when x = 2, we simply plug in 2 into each function
f(2) = 10(2) + 2 ---> 20 + 2 = 22
f(2) = 22
g(2) = [tex]2^(2)[/tex] = 4
g(2) = 4
h(2) = (2)² + 2(2) + 1 ----> 4 + 4 + 1 = 9
h(2) = 9
comparing the functions, we see that the function with the largest output is f(x)
our answer is A, Function F
What is the volume of the square pyramid? Round to the nearest tenth
ANSWER
[tex]Volume = 480.0{cm}^{3} [/tex]
EXPLANATION
The volume of the square pyramid is given by;
[tex]Volume = \frac{1}{3} {l}^{2} \times h[/tex]
Where l=12cm is the length of the square base and h=10cm is the height of the pyramid.
We substitute the values into the formula to get;
[tex]Volume = \frac{1}{3} \times {12}^{2} \times 10 {cm}^{3} [/tex]
This simplifies to,
[tex]Volume = \frac{1}{3} \times {12} \times 12\times 10 {cm}^{3} [/tex]
[tex]Volume = 4 \times 12\times 10 {cm}^{3} [/tex]
[tex]Volume = 480.0{cm}^{3} [/tex]
Third option is correct.
Answer:
The correct option is 3.
Step-by-step explanation:
The volume of a square pyramid is
[tex]V=\frac{1}{3}(\text{Base area})h[/tex]
[tex]V=\frac{1}{3}a^2h[/tex] .... (1)
Where, a is th side of base and h is the height of pyramid.
From the given figure it is clear that the height of the pyramid is 10 cm and the length of base is 12 cm.
Substitute a=12 and h=10 in equation (1), to find the volume of the square pyramid.
[tex]V=\frac{1}{3}\times (12)^2\times (10)[/tex]
[tex]V=\frac{1}{3}\times (144)\times (10)[/tex]
[tex]V=(48)\times (10)[/tex]
[tex]V=480[/tex]
The volume of pyramid is 480 cm³. Therefore the correct option is 3.
Rewrite the expression as a sum of terms, where each term is in the form k\cdot a^nk⋅a
n
k, dot, a, start superscript, n, end superscript.
\sqrt a\left(2a^2-\dfrac4a\right)=
a
(2a
2
−
a
4
)=
Answer:
[tex]2a^{\frac{5}{2}}-4a^{-\frac{1}{2}}[/tex]
Step-by-step explanation:
It looks like you want to expand the expression ...
[tex]\sqrt{a}\left(2a^2 -\dfrac{4}{a}\right)[/tex]
Use the distributive property and rules of exponents.
[tex]=2a^{(\frac{1}{2}+2)}-4a^{(\frac{1}{2}-1)}\\\\=\boxed{2a^{\frac{5}{2}}-4a^{-\frac{1}{2}}}[/tex]
_____
The relevant rules of exponents are ...
√a = a^(1/2)
1/a = a^-1
(a^b)(a^c) = a^(b+c)
To simplify the expression {x⁵}/{x²}, you subtract the exponents (5 - 2), resulting in x³, which is x cubed.
The given expression is {x⁵}/{x²}. To simplify this, we use the Division of Exponentials rule, which states that when dividing two expressions with the same base, you subtract the exponent of the denominator from the exponent of the numerator.
In this case, we subtract 2 from 5 (because the base is x and we have x to the power of 5 divided by x to the power of 2), giving us:
(x⁵⁻² which simplifies to (x³).
The simplified expression is therefore x cubed, or (x³).
Melinda will take 15 quizzes this semester. She would like to score a B or better on at least 90% of them. So far, she has gotten a b or better on 6 quizzes. Which inequality can be used to determine how many more quizzes she must score a b or better on.
Answer:
The answer is B
Inequalities help us to compare two unequal expressions. The correct option is A, (6+x)/15>(9/10).
What are inequalities?Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.
Given that Melinda will take 15 quizzes this semester. She would like to score a B or better on at least 90% of them. Therefore, the ratio of the number of questions done to the total number of questions should be greater than 90%.
Also, given that Melinda has already gotten a b or better on 6 quizzes. Therefore, we can write the inequality as,
(6+x)/15 > 90%
(6+x)/15 > 90/100
(6+x)/15 > 9/10
Learn more about Inequality:
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uca is designing a propeller system that consists of 3 blades, each of which is
identical. The blades are sectors of a circle that have radii of 4 inches and central
rangles of 20" The blades are to be made from steel that weighs 16 grams per square
inch. Determine the weight of the three blades together to the nearest gram.
201
Answer:
The weight of the three blades together is [tex]134\ g[/tex]
Step-by-step explanation:
step 1
Find the area of the circle
The area of the circle is equal to
[tex]A=\pi r^{2}[/tex]
we have
[tex]r=4\ in[/tex]
assume
[tex]\pi=3.14[/tex]
substitute
[tex]A=(3.14)(4)^{2}[/tex]
[tex]A=50.24\ in^{2}[/tex]
step 2
Find the area of the 3 blades
we know that
The area of the 3 blades represent a central angle of 60 degrees, so
its a 1/6 of the area of complete circle
[tex]A=50.24/6=8.37\ in^{2}[/tex]
step 3
Find the weight of the three blades together to the nearest gram
[tex](8.37\ in^{2})*(16\ g/in^{2})=134\ g[/tex]
If DB = 4 and DC = 6, find AD.
2
2
3
Answer:
B 2 2/3
Step-by-step explanation:
Triangles ADB and CDB are similar. Therefore similar parts can form a proportion.
AD/DB = DB/DC
AD = ?
DB = 4
DC = 6
x/4 = 4/6 Cross multiply
6x = 16
6x/6 = 16/6
x = 2 4/6 or x = 2 2/3
It's B
ANSWER
[tex]AD =2 \frac{2}{3}[/tex]
EXPLANATION
According the Altitude Theorem, the height of the triangle is equal to the geometric mean of the two segment it creates on the hypotenuse.
This implies that:
[tex] {4}^{2} =6 AD[/tex]
[tex]16 = 6 AD[/tex]
Divide both sides by 6.
[tex]AD = \frac{16}{6} [/tex]
Simplify
[tex]AD = \frac{8}{3} [/tex]
Change to mixed numbers
[tex]AD =2 \frac{2}{3} [/tex]
Compare the fractions. Use <, =, or >. -2/3 -2/8
Answer:
[tex]-\frac{2}{8} >-\frac{2}{3}[/tex]
Step-by-step explanation:
To compare fractions is useful to express the fractions as decimals and compare the values of the decimals first.
Using a calculator we can find that [tex]-\frac{2}{3} =-0.66666...[/tex] and [tex]-\frac{2}{8} =-0.25[/tex].
Now, remember that wen comparing negative numbers the smallest number is the greater one; this is because the closest a negative number is to zero the greatest is value.
-0.66666... and -0.25 are both negative. Since -0.25 is smaller (closer to zero), -0.25 is bigger than -0.66666... In other words, -0.25 > -0.66666...
We know that [tex]-\frac{2}{3} =-0.66666...[/tex] and [tex]-\frac{2}{8} =-0.25[/tex], so we can get back to our original fractions:
[tex]-\frac{2}{8} >-\frac{2}{3}[/tex]
We can conclude that [tex]-\frac{2}{8}[/tex] is greater than [tex]-\frac{2}{3}[/tex]
Whch experision is equialent to 5(4x+3)-2x?
A.18x+15
B.18x+3
C.7x+8
D.2x+8
Answer:
The correct answer is option A. 18x + 15
Step-by-step explanation:
It is given an expression in variable x,
5(4x + 3) - 2x
To simplify the given expression
5(4x + 3) - 2x = (5 * 4x) + (5 * 3) - 2x (open the bracket)
= 20x + 15 - 2x
= 20x - 2x + 15
= 18x + 15
Therefore the correct answer is 18x + 15
The correct option is option A. 18x + 15
Answer plzzzzz ASAP PLZZ
Answer:
Well in opinion, i think "rolling a standard number cube and getting an even number"
Answer:
Both events have the same likeliness of happening.
Step-by-step explanation:
A number cube has 6 numbers and 3 of them are even so the probability of rolling an even number is 3/6, which is 1/2. A coin has two sides, so the probability of flipping a coin heads up is 1/2. Rolling an even number on a number cube and flipping a coin heads up both have a 1/2 probability.
Find the area of this shape.
The area of the shape is
square centimeters.
Answer:
35 cm
Step-by-step explanation:
To find the area of the bottom portion, you would use the formula for finding out a triangle (B*H*1/2) which is:
(4+4)*5.75*1/2=23
Then, for the top portion, one would find the area of the triangles on the sides (with two marks going through). Since along the middle is 8cm, and along the top is 4, we can see that there is 2cm on either side, so that is the length of the base of the triangle. To solve for the top triangles, you would do almost the same thing as the last one:
2*2*1/2=2
But since there's two identical triangles on either side, we can multiply that by two, which would bring it to 4.
That just leaves the rectangle that is left between the two triangles. To solve this, it's just B*H and luckily both of those are labeled for you already:
4*2=8
Now, to find the total area, all you have to do is add up the areas of the different sections:
23+4+8=35 cm
Hope this helps!
help plz HURRY FAST
Answer:
Power: (1/5)^3, 2^6
Expanded: 5x5, 6x6x6, 3x3x3/4, 2x2x2x2x2x2
How to say it: 5 raised to the 2nd power, 6 raised to the 3rd power, 3 raised to the 3rd power over 4
Value: 25, 216, 1/125, 9/4, 64
Step-by-step explanation:
Plz Help ASAP!!! Plz show work
Answer:
see explanation
Step-by-step explanation:
Since the figures are similar then the ratio of corresponding sides are equal, that is
[tex]\frac{8}{x}[/tex] = [tex]\frac{18}{6}[/tex] ( cross- multiply )
18x = 48 ( divide both sides by 18 )
x = [tex]\frac{48}{18}[/tex] = [tex]\frac{8}{3}[/tex]
AND
[tex]\frac{5}{y}[/tex] = [tex]\frac{18}{6}[/tex] ( cross- multiply )
18y = 30 ( divide both sides by 18 )
y = [tex]\frac{30}{18}[/tex] = [tex]\frac{5}{3}[/tex]