Answer:
Step-by-step explanation:160
What is the length of a diagonal of a cube with a side length of 1 cm?
StartRoot 2 EndRoot cm
StartRoot 3 EndRoot cm
StartRoot 4 EndRoot cm
StartRoot 5 EndRoot cm
Answer:
The answer is 3cm
Step-by-step explanation:
The length of a diagonal of a cube with a side length of 1 cm is,
⇒ √3 cm
What is mean by Multiplication?Multiplication means to add number to itself a particular number of times. Multiply will be viewed as a process of repeated addition.
Given that;
A side length of cube is,
⇒ 1 cm
We know that;
The length of a diagonal of a cube with a side length of a cm is,
⇒ d = √3 × a
Here, a = 1
Hence, The length of a diagonal of a cube with a side length of 1 cm is,
⇒ d = √3 × 1
⇒ d = √3 cm
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Please I need help with this one
Answer:
$0.60
Step-by-step explanation:
A dolphin jumped up out of the water and back into the water in a parabolic path. (H) height (t) seconds . H=-8(t-0.5)^2+2 . How long will the dolphin be in the air?
Answer:
4 seconds
Step-by-step explanation:
using the vertex formula of a quadratic,
[tex]a(x-h)^{2} + k[/tex], where (h,k) is the vertex
[tex]h = -8(t-0.5)^{2}+2[/tex] h is height and t is time in seconds
the vertex (maximum height) of the dolphin is (h,k) or (0.5, 2)
Height of 1/2
time of 2 seconds
it will take 2 additional seconds to reach the water again.
this can also be solved using quadratic equation, but since it was already set up in vertex form, i'd use that.
27,9, 3, ...
Find the 6th term.
Answer: .1
Step-by-step explanation: divide all the numbers by three. 27 ÷ 3 = 9
9÷3= 3
3÷3= 1
1÷3= .3
.3 ÷3 = .1
2. Which situation leads to a unit cost of $4 per football ticket? (Hint: Find Unit Rate of Each)
A. $6 paid for 2 football tickets
B. $8 paid for 4 football tickets
C. 6 football tickets for $24
D. 10 football tickets for $50
Answer:
C
Step-by-step explanation:
A. 6/2=3
B. 8/4=2
C. 24/6= 4
D. 50/10=5
f(n)=93+4(n-1) Complete the recursive formula of f(n)
Answer:
f(1) = 93
f(n) = f(n - 1) + 4
Step-by-step explanation:
The recursive formula for an arithmetic sequence is given as:
f(1) = a
f(n) = f(n - 1) + d
where a = first term and d = common difference
An arithmetic sequence is in the form:
f(n) = a + d(n - 1)
where a = first term and d = common difference
The common difference in f(n) = 93 + 4(n-1) is 4.
The first term is 93.
The recursive formula is therefore:
f(1) = 93
f(n) = f(n - 1) + 4
Answer:
f(1)=93
f(n)=f(n-1)+4
Step-by-step explanation:
As you can see in the picture, the initial value is 93, which is why it's the first part of the equation. The 4 is multiplying the (n-1) part in the equation and as we complete the recursive formula of N, you have to put the numbers in the correct order.
need help fast!!!!
The graph shows the relationship between the weight of a
box and the number of books added to the box.
What function represents the weight of a box based on x,
the number of books?
Box of Books
10
9
f(x) = 0.5x + 1.5
f(x) = 0.75x + 2
f(x) = 1.5x + 0.5
f(x) = 2x + 0.75
O
Weight of box (lbs)
ch
4
w
1
9 10 x
2 3 4 5 6 7 8
Number of books
Answer:
C or option three, f(x) = 1.5x + 0.5
Step-by-step explanation:
HAVE A GREAT DAY AND STAY SAFE!
The function represents the weight of a box based on the number of books is option (C) f(x)=1.5x+0.5.
What is the Equation of straight line?The general equation of a straight line is y = mx + c
What is Slope of the line?A slope of a line is the change in y coordinate with respect to the change in x coordinate
Here,
Consider two points in the lines
(3,5) and (5,8)
Slope of the line = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]
= [tex]\frac{8-5}{5-3}[/tex]
=1.5
From the graph y intercept is 0.5
Hence, The function represents the weight of a box based on the number of books is option (C) f(x)=1.5x+0.5.
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The volume of a cone with a radius of 7 cm is 147 pi cubic centimeters. Which expression can be used to find h, the height of the cone?
A. 147 pi = one-third (7) (h) squared
B. 147 pi = one-third pi (7 squared) (h)
C. 147 pi = one-third pi h
D. 147 pi = one-third pi (7) (h)
Answer:
B
Step-by-step explanation:
Volume = ⅓ pi × r² × h
147pi = ⅓ × pi × 7² × h
Step-by-step explanation:
Step 1: Find the expression that can be used to find h
[tex]V = \pi * r^2 * \frac{h}{3}[/tex]
[tex]147 \pi = \pi * (7)^2 * \frac{h}{3}[/tex]
[tex]147\pi = \frac{1}{3} * \pi * 7^2 * h[/tex]
147 pi = one-third pi (7 squared) (h)
Answer: Option B
the graphs of f(x)=-2x and g(x)=(1/2)^x are shown. what are the solutions to thr equation -2x=(1/2)^x? select each correct answer.
-2
-1
2
4
Answer:
-2Step-by-step explanation:
hello :
f(x)=-2x and g(x)=(1/2)^x
f(-2)=-2(-2) =4
g(-2)=(1/2)^-2 = 1/2^-2 = 2²=4
A truck driver makes a trip that covers 2,380 km in 28 hours. What is the driver’s average speed?
Answer:
85km/h which is 52.82mph
Step-by-step explanation:
A triangle has a base length of (2x - 4) units and a height of (x + 5) units. Write and solve a quadratic equation to determine what value of x gives the triangle an area of 44 square units.
Answer:
x=6
Step-by-step explanation:
The area of a triangle is given by
A = 1/2 bh
44 = 1/2 (2x-4)(x+5)
Multiply the 1/2 time (2x-4)
44 = (x-2) (x+5)
FOIL
44 = x^2 +5x -2x-10
Combine like terms
44 = x^2 +3x -10
Subtract 44 from each side
0 = x^2 +3x -10-44
0 = x^2 +3x -54
Factor
What two numbers multiply to -54 and add to 3
9*-6 = -54
9+-6 = -3
0 = (x+9)(x-6)
Using the zero product property
x +9 =0 x-6 =0
x = -9 x = 6
The height cannot be negative so x cannot be -9
x=6
Mrs. Ellis determines that 5 gallons of water flow from a faucet in 3 minutes. The water continues to flow at the same rate. Which equation can be used to represent the number of gallons, y, that flow through the faucet in x
Answer:
y=5/3x
Step-by-step explanation:
The equation can be used to represent y = (5/3)x.
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
We have been given that Mrs. Ellis determines that 5 gallons of water flow from a faucet in 3 minutes.
Since the water continues to flow at the same rate.
Using represent the number of gallons, y, that flow through the faucet in x
In 3 minutes, 5 gallons of water come out of a faucet.
So the equation can be used to represent y = (5/3)x
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Could some one plz help me with this question
P.S ignore the answer choices their wrong
25 Points
Answer:
A
Step-by-step explanation:
The formula for this type of interest is [tex]A=P(1+\frac{r}{n})^{nt}[/tex], where A is the total amount, P is the initial investment, x is the interest rate, n is the amount of times that the investment is compounded a year, and t is the amount of years. Plugging in the numbers given, you get:
[tex]A=1800(1+\frac{0.025}{2})^{2\cdot 12}=[/tex]
[tex]1800(1.0125)^{24}\approx 2425.23[/tex]
Now, she invests this into a new account, and you can set up the following equation:
[tex]A=2425.23(1+\frac{0.04}{12})^{12\cdot 7}=[/tex]
[tex]2425.23(1.0033333)^{84}\approx 3207.40[/tex], or option A.
Hope this helps!
Secant TP and tangent TR intersect at point 7. Chord SR and chord PQ intersect
at point V. Find the values of x and y. If necessary, round to the nearest tenth.
AN
x = 11.6
y = 11.6
= 11.6
y= 23.2
x = 18.3
y = 36.6
Answer:
(C)x=11.6, y=23.2
Step-by-step explanation:
Using Theorem of Intersecting Secant and Tangent
Applying this theorem in the diagram, we have:
[tex]TQ$ X TP=TR^2[/tex]
[tex]10(10+x+4)=16^2\\10(14+x)=256\\140+10x=256\\10x=256-140\\10x=116\\$Divide both sides by 10\\x=11.6[/tex]
Next, we apply Theorem of Intersecting Chords
PV X VQ=SV X VR
4 X x= 2 X y
Recall earlier we got: x=11.6
2y=4 X 11.6
2y=46.4
Divide both sides by 2
y=46.4/2=23.2
Therefore: x=11.6, y=23.2
Ethan has partially filled the prism with 8 unit cubes. How many more cubes does he need to fill the prism completely A:10 B:15 C:19 D:21 Help me please!!!???!
Corrected Question
Ethan has partially filled the prism with 8 unit cubes.
A rectangular prism with length, height, and width of 3.
How many more cubes does he need to fill the prism completely?
Answer:
(C)19
Step-by-step explanation:
First, we determine the volume of the rectangular prism
Volume of a rectangular prism = Length X Height X Width
=3 X 3 X 3=27 cubic units
Volume of the Cube=1 cubic unit
The number of unit cubes that will fill the rectangular prism = 27
Ethan has partially filled the prism with 8 unit cubes, we subtract 8 from 27 to determine the number left to fill the prism
27-8=19.
Therefore, Ethan will need 19 more cubes to fill the rectangular prism.
The correct option is C
What type of correlation is shown by the graph?
Answer: Positive correlation
Step-by-step explanation:
As you go up and along the graph the values go up.
Both have to be increasing basically.
3(4x+5)=33 What’s the value of x
Answer:
the answer would be 20
Answer:
x=3/2 or 1.5
Step-by-step explanation:
To solve for x, we have to get x by itself. To do this, perform the opposite of what is being done to the equation.
3(4x+5)=33
First, divide both sides by 3, since 3 is being multiplied by 4x+5
3(4x+5)/3=33/3
4x+5=11
Next, subtract 5 from both sides, since it is being added to 4x
4x+5-5=11-5
4x=6
Divide both sides by 4, since 4 is being multiplied by x
4x/4=6/4
x=6/4
x=3/2 or 1.5
solve the equation 18y - 17 = 7 for y
Answer:
y = 1.3
Step-by-step explanation:
18y - 17 = 7
18y = 7 + 17
18y = 24
y = 24/18
y = 1.3
hope it helps!
Answer:
y=4/3
Step-by-step explanation:
To solve for y, we need to isolate it.
18y-17=7
Let's start by adding 17 to both sides.
18y=24
Next, we can divide both sides by 18.
y=24/18
Simplify.
y=4/3
help meeeeeeeeeeeeeeeeee pplllzzzzzzzzz asap
Answer: 16
Step-by-step explanation:
8+6+2
Answer:
2
Step-by-step explanation:
Under 13 min - that means at least at 07:13 am, and this is the first column, which shows Two People.
Sarah and Gabriela are at a soccer camp. The length of a soccer practice is 2/3 hour. The coaches have set aside 8 hours for soccer practice. How many soccer practices can the coaches have?
Answer:
12 soccer practices
Step-by-step explanation:
1 Soccer practice = 2 / 3 hour
We have 8 hours
8 / 2/3
multiply the top and bottom by 3 to get rid of the 3
8 * 3 = 24
2/3 * 3 = 2
24 / 2 = 12
Answer:
One way to answer your problem is by using proportions, and the following method can be done:
Step-by-step explanation:
[tex]\frac{1}{\frac{2}{3}}=\frac{x}{8}[/tex]
Then that reduces to the following:
[tex]\frac{8}{\frac{2}{3}}=x=12[/tex]
So the answer would be 12 practices.
A population of rabbits doubles every 60 days according to the formula P=10(2)^t/60, where P is the population of rabbis on day t. What is the value of t when the population is 320
Answer:
[tex] 320 = 10 (2)^{t/60}[/tex]
If we divide both sides by 10 we got:
[tex] 32 = 2^{t/60}[/tex]
We can apply natural log on both sides and we got:
[tex] ln (32) = \frac{t}{60} ln(2) [/tex]
And solving the value of t we got:
[tex] t = 60 \frac{ln(32)}{ln(2)}= 300[/tex]
So then we can conclude that after t = 300 days we will have approximately 320 rabbits
Step-by-step explanation:
For this case we have the following function:
[tex] P(t) = 10 (2)^{t/60}[/tex]
Where P is the population of rabbis on day t. And for this case we want to find the value of t when P =320 so we can set up the following equation:
[tex] 320 = 10 (2)^{t/60}[/tex]
If we divide both sides by 10 we got:
[tex] 32 = 2^{t/60}[/tex]
We can apply natural log on both sides and we got:
[tex] ln (32) = \frac{t}{60} ln(2) [/tex]
And solving the value of t we got:
[tex] t = 60 \frac{ln(32)}{ln(2)}= 300[/tex]
So then we can conclude that after t = 300 days we will have approximately 320 rabbits
What is the values of x?
Answer:Answer is 4
15x-5+125=180°
15x=60
x=4
Step-by-step explanation:I don't say you have to mark my ans as brainliest but my friend don't forget to thank me if it has really helped you..
can you please help me out
Answer:
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Step-by-step fweexplanation:
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The question on the bottom
Answer:
9th grade student=33.3%, unit 7=45%
Step-by-step explanation:
Which of the following options have the same value as %25, percent of 64? Choose 2 answers:
A 25⋅64
B 25/100⋅64
C 0.25⋅64
D 64÷ 25/100
E 25÷ 64/100
Answer:
B and C
Step-by-step explanation:
25% of 64 is 16. So find the two answers that are equivalent to 16.
A: 25*64 = 1600 [tex]\neq[/tex] 16
B: [tex]\frac{25}{100}[/tex]*64 = 16
C: 0.25 * 64 = 16
D: 64/[tex]\frac{25}{100}[/tex] =256 [tex]\neq[/tex] 16
E: 25/[tex]\frac{64}{100}[/tex] = 39.06 [tex]\neq[/tex] 16
Answer:
its b and c. had the same problem.
Myra is a scientist and needs 45 gallons of a 16% acid solution. The lab is currently stocked only with a 20% acid solution and a 10% acid solution. Myra will need to mix how many gallons of the 20% solution and how many gallons of the 10% solution to have what she needs.
Answer:
The volume of the solution with 20% acid is 27 gallons and the one with 10% acid is 18 gallons
Step-by-step explanation:
Myra needs to mix "x" gallons of the solution with 20% and "y" gallons of the solution with 10%. The volume of the final solution must be 45 gallons, therefore:
x + y = 45
The concentration of acid of the final solution is:
0.2*x + 0.1*y = 45*0.16
0.2*x + 0.1*y = 7.2
Therefore we have a system of equation:
x + y = 45
0.2*x + 0.1*y = 7.2
We need to multiply the first equation by -0.1:
-0.1*x -0.1*y = -4.5
0.2*x + 0.1*y = 7.2
We now sum both equation:
0.1*x = 2.7
x = 2.7/0.1 = 27 gallons
y = 45 - 27 = 18 gallons
Which of the following functions is not linear?
Answer:
D. y = 8x² + 8x + 4Step-by-step explanation:
The equation of a linear function is in form:
[tex]y=mx+b[/tex]
We have:
[tex]\bold{A.}\\\\y=8(x+8)+4(x+8)\qquad\text{use the distributive property}\\\\y=8x+64+4x+32\qquad\text{combine like terms}\\\\y=12x+86\to m=12,\ b=86\\\\\bold{linear\ function}[/tex]
[tex]\bold{B.}\\\\y=\dfrac{\sqrt8}{8}x-4\to m=\dfrac{\sqrt8}{8},\ b=-4\\\\\bold{linear\ function}[/tex]
[tex]\bold{C.}\\\\y=\dfrac{1}{8}x+8\to m=\dfrac{1}{8},\ b=8\\\\\bold{linear\ function}[/tex]
[tex]\bold{D.}\\\\y=8x^2+8x+4\\\\\bold{not\ linear\ function}\\\\\text{because is}\ x^2\\\\\text{It's a quadratic function}[/tex]
help plsssssssssssssssssssss again 4
Help me it’s urgent
Answer:
∠GHJ and ∠IHJ
Answer:
[-10, 10]
This is an absolute value problem and numbers within the brackets are always seen as positive. [-10] = 10 and [10] = 10
Step-by-step explanation:
He randomly selects a sample of 200 Darwin households. Forty households prefer the new package to all other package designs. The point estimate for this population proportion is
Answer: The point estimate for this population proportion is 0.2
Step-by-step explanation:
The point estimate for this population proportion is also referred to as the sample proportion. This is also known as the probability of success, p. The formula for determining p is expressed as
p = x/n
Where
n represents the number of samples
x represents the number of success
From the information given,
n = 200
x = 40
p = 40/200 = 0.2