3/4, find the surface area
Answer:
1,350 cm^2
Step-by-step explanation:
It's a cube so all faces/bases are the same.
15 × 15 = 225
225 × 6 = 1,350
About 8% of the U.S. population catches the flu each season. Assuming everyone has equal probability of catching the flu, about what are the odds of catching the flu in a given season?
1 in 8
1 in 12
1 in 18
1 in 80
Answer:
The correct answer is B. 1 in 12.
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Percentage of the U.S. population that catches the flu each season = 8%
8% = 8/100
2. Assuming everyone has equal probability of catching the flu, about what are the odds of catching the flu in a given season?
Let's review together each of the possible answers given:
A. 1 in 8 = 1/2 = 0.125 = 12.5%, this is not the percentage given.
B. 1 in 12 = 1/12 = 0.083 = 8.3%, if we round to 8%, this is the percentage given.
C. 1 in 18 = 1/18 = 0.056 = 5.6%, this is not the percentage given.
D. 1 in 80 = 1/80 = 0.0125 = 1.25%, this is not the percentage given.
The correct answer is B. 1 in 12.
look at the picture below
Answer:
180x cubic feet
Step-by-step explanation:
Multiply 15, 12 and x together.
Answer:
180x
Step-by-step explanation:
you multiply 12 and 15 and x.
Write a rule to describe each transformation. (What is the reflection?ex. Reflect with reaparece to x-axis, reflect across y=2, etc.)
Answer:
Reflect across the line y = x (x, y) -> (y, x)
Step-by-step explanation:
The simplest way is just one step, a reflection across the line y=x. when doing this the rule is (x, y) -> (y, x).
There are a number of ways to do it otherwise, such as a reflection across the x axis then the y axis, or the other way around, or a translaton then reflection. Like I said though, the reflection across y=x is the fastest. Let me know if you have any further questions.
Solve the system of linear equations using elimination. −2x − y = 3 −9x − y = 17
A) (2, 1) B) (2, −1) C) (−2, 1) D) (−2, −1)
Answer:
x = -2 , y = 1
Step-by-step explanation:
Solve the following system:
{-2 x - y = 3 | (equation 1)
-9 x - y = 17 | (equation 2)
Swap equation 1 with equation 2:
{-(9 x) - y = 17 | (equation 1)
-(2 x) - y = 3 | (equation 2)
Subtract 2/9 × (equation 1) from equation 2:
{-(9 x) - y = 17 | (equation 1)
0 x - (7 y)/9 = -7/9 | (equation 2)
Multiply equation 2 by -9/7:
{-(9 x) - y = 17 | (equation 1)
0 x+y = 1 | (equation 2)
Add equation 2 to equation 1:
{-(9 x)+0 y = 18 | (equation 1)
0 x+y = 1 | (equation 2)
Divide equation 1 by -9:
{x+0 y = -2 | (equation 1)
0 x+y = 1 | (equation 2)
Collect results:
Answer: {x = -2 , y = 1
Answer:
C) (−2, 1)
Step-by-step explanation:
what is y= -3/2x + 4 in standard form
Answer:
2y + 3x = 8
Step-by-step explanation:
Step 1: Add 3/2x to both sides
y + 3/2x = -3/2x + 4 + 3/2x
y + 3/2x = 4
Step 2: Multiply both sides by 2
(y + 3/2x)*2 = 4*2
2y + 3x = 8
Answer: 2y + 3x = 8
The graphed line can be expressed by which equation?y+2=23(x+2) y−2=34(x−1) y−1=−34(x−2) y−2=34(x−2)
For this case we have that by definition, the equation of a line in the point-slope form is given by:
[tex]y-y_ {0} = m (x-x_ {0})[/tex]
Where:
[tex](x_ {0}, y_ {0}):[/tex]It is a point through which the line passes
m: It is the slope of the line
According to the graph we have that the line goes through the following points:
[tex](x_ {1}, y_ {1}) :( 4,2)\\(x_ {2}, y_ {2}): (- 2, -2)[/tex]
We found the slope:
[tex]m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {-2-2} {- 2-4} = \frac {-4} {- 6} = \frac {2} {3}[/tex]
We choose a point:
[tex](x_ {0}, y_ {0}): (-2, -2)[/tex]
The equation of the line is:
[tex]y - (- 2) = \frac {2} {3} (x - (- 2))\\y + 2 = \frac {2} {3} (x + 2)[/tex]
ANswer:
[tex]y + 2 = \frac {2} {3} (x + 2)[/tex]
Option A
An athlete jumped 5.5 feet which was 1.1 times higher than the previous jumper. How high did the previous athlete jump?
Answer:
5ft
Step-by-step explanation:
1.1j=5.5ft
Divide both sides by 5.5
So: j=5ft. This is the previous jump
The prism is completely filled with 1750 cubes that have edge length of 15 ft.
What is the volume of the prism?
The volume of the prism = 14 ft³
Solution:
Number of cubes in the prism = 1750
Edge length of each cube (a) = [tex]\frac{1}{5}[/tex] ft
To find the volume of each cube:
Volume of each cube = a³
[tex]$=\left(\frac{1}{5} \right)^3[/tex]
Volume of each cube [tex]$=\frac{1}{125} \ \text{ft}^3[/tex]
To find the volume of the prism:
Volume of the prism = Volume of each cube × Number of cubes
[tex]$=\frac{1}{125} \ \text{ft}^3\times 1750[/tex]
= 14 ft³
The volume of the prism = 14 ft³
A spinner with four equal quadrants labeled A, B, C, and D is spun. What is the theoretical probability of the spinner NOT landing on the letter C?
Answer:
3/4, 75% chance
Step-by-step explanation:
you have four in total, three of which are not c, so you have a three out of four chance of NOT picking c. 3/4 as a percentage is 75%
Answer:
25%
Step-by-step explanation:
On MobyMax its 25%
3) Find the value of x. A) 21 B) 27 C) 31 D) 34
Answer:
I will guess 21
Step-by-step explanation:
9+10=21 boi
Answer:
for Usatestprep it is 21
Step-by-step explanation:
i swear 100%
What’s the area of this?
Answer:
25.5
Step-by-step explanation:
[tex]A_{t} = \frac{1}{2} * (6 + 3) * (5 + 2) = 31.5\\\\A_{r} = 2 * 3 = 6\\\\A = A_{t} - A_{r} = 31.5 - 6 = 25.5[/tex]
What are period and amplitude for the function
PLEASE ANSWER BOTH QUESTIONS I WILL GIVE You the
Answer: Period: 4. Amplitude: 3
Step-by-step explanation: The period is how long it takes for one cycle of the function (one up and down). In this graph, one cycle ends at 4.
The amplitude is how far away the extremes of the graph are from the midline. This graph is a total of 6 units tall, making the amplitude 3. (I usually find total graph height and divide by 2.)
10. The length of the hypotenuse of a 30°-60°-90° triangle is 16. What is the perimeter?
64+8 square root 3
24+8 square root 3
16+64 square root 3
8+24 square root 3
Answer:
24+8 square root 3
Step-by-step explanation:
The ratio is x : x radical 3 : 2x
hypotenuse= 2x= 16
x =8
x square root 3 = 8 square root 3
16+8=24
Name the property illustrated in this statement. If y - 2 = -8. then y - 2 + 2 = -8 + 2.
10
Step-by-step explanation:
first what is 10 take away 2 is 8 then 10 take away 2 is 8 + 2 equals 10 8 + 2 equals 10 so that's how I got the answer 10
There are 162 calories in 3/4 cup of yogurt. How many calories are in 1 cup?
Final answer:
There are 216 calories in 1 cup of yogurt.
Explanation:
To find out how many calories are in 1 cup of yogurt, we can use the given information that there are 162 calories in 3/4 cup of yogurt. We can set up a proportion to solve for the number of calories in 1 cup:
(3/4 cup) / (162 calories) = (1 cup) / (x calories)
By cross-multiplying, we get:
3/4 * x = 162 * 1
Simplifying the expression:
3x/4 = 162
Multiplying both sides of the equation by 4/3:
x = (162 * 4) / 3 = 216 calories
Therefore, there are 216 calories in 1 cup of yogurt.
Write an equation in slope-intercept form for the line passing through the pair of points. (2, –6), (–4, 3) Question 17 options: y = x + 3 y = x – 3 y = x – 3 y = x + 3
Answer:
No answer choices are correct; y=-9/6x-3
Step-by-step explanation:
Slope=Rise/Run=(3-(-6))/(-4-2)=9/-6=-9/6
y=-9/6x+b
3=-9/6(-4)+b
3=36/6+b
3=6+b
-3=b
So the equation is y=-9/6x-3, so none of your answer choices are correct
Replace the ? in each of these statements with the symbol >, <, or =.
a. 39 ? 38
b. 16 ? 16
c. 11 ? 315
d. 5 ? 4
39>38
16=16
11<315
5>4
Hope this helps you mate
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Robyn bought the following items in a supermarket. Can you help Robyn round each price to the nearest dollar. Item Actual Price Round to Nearest Dollar $ 34.70 $ $ 278.22 $ $ 45.89 $ 8.38
Answer:
$34.70 rounded to $35, $278.22 rounded to $278, $45.89 rounded to $46, $8.38 rounded to $8.
Step-by-step explanation:
The Pham family bought 6 bags of cookies . Each bag had 13 cookies . They have since eaten 29 of the cookies . How many cookies do they have left ?
If they had six bags of cookies and each bag has thirteen cookies, then in total they have a total of seventy-eight cookies. If they've eaten twenty-nine cookies, then they now have forty-nine cookies because 78-29=49.
According to the survey described here, what was the sample of the survey? “A recent telephone survey of 900 teenagers aged 16 to 19 from across the state shows 1 out of 4 of them drive themselves to school.”
A. all teenagers aged 16 to 19 in the state
B. 900 teenagers aged 16 to 19 from across the state
C. 1 out of 4 teenagers aged 16 to 19 from across the state
D. teenagers aged 16 to 19 from across the state who own a telephone
Answer:
Step-by-step explanation:
B is correct. This choice accurately describes the sample.
What value of y makes the equation below true?
2y−25=19
A
A) 44
B) 22
C) −3
D)−6
Answer:
B is the answer I Know it is wright
Step-by-step explanation:
so you add 25 and 19 and then divide 44 and 2 and get 22
Evaluate n/6 + 2 when n = 12
Answer:
[tex]\frac{(12)}{2} +2\\6+2=8\\8[/tex]
Hope this helped
Answer:
4
Step-by-step explanation:
n/6 + 2 when n = 12
n/6 + 2
Replace n with 12
Therefore,
n/6 + 2 = 12/6 + 2
= 2+2
=4
I hope this was helpful, please rate as brainliest
What is the volume of the triangular prism? Round to the nearest tenth.
Answer:
the volume of the triangular prism is 1,185.6 in³
Step-by-step explanation:
To find the volume of these triangular prism, we will, first, find the area of the triangle then multiply by the length
Area of triangle = [tex]\frac{1}{2}[/tex] × b×h
From the diagram ,the height of the triangle is given to be 10.4 in and the base is given to be 12 in.
We will now proceed to insert the values into the formula;
Area of triangle = [tex]\frac{1}{2}[/tex] × b×h
= [tex]\frac{1}{2}[/tex] × 12×10.4
= [tex]\frac{1}{2}[/tex] × 124.8
=62.4
Area of triangle is 62.4 in²
From the diagram is given to be 19 in
Volume of triangular prism = area of triangular prism × l
=62.4 in² × 19 in
=1,185.6 in³
Therefore the volume of the triangular prism is 1,185.6 in³
Y^4+5x=21 second derivative
Answer:
[tex]\displaystyle y'' = \frac{-75}{16y^7}[/tex]
General Formulas and Concepts:
Calculus
Differentiation
DerivativesDerivative NotationDerivative Property [Multiplied Constant]: [tex]\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)[/tex]
Derivative Property [Addition/Subtraction]: [tex]\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)][/tex]
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Derivative Rule [Chain Rule]: [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]
Implicit Differentiation
Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle y^4 + 5x = 21[/tex]
Step 2: Find 1st Derivative
Differentiate [Basic Power Rule, Chain Rule, Derivative Properties]: [tex]\displaystyle 4y^3y' + 5 = 0[/tex]Isolate y' term: [tex]\displaystyle 4y^3y' = -5[/tex]Isolate y': [tex]\displaystyle y' = \frac{-5}{4y^3}[/tex]Step 3: Find 2nd Derivative
Rewrite: [tex]\displaystyle y' = \frac{-5}{4}y^{-3}[/tex]Differentiation [Basic Power Rule, Chain Rule, Derivative Properties]: [tex]\displaystyle y'' = \frac{15}{4}y^{-4}y'[/tex]Rewrite: [tex]\displaystyle y'' = \frac{15}{4y^4}y'[/tex]Substitute in y': [tex]\displaystyle y'' = \frac{15}{4y^4} \bigg( \frac{-5}{4y^3} \bigg)[/tex]Simplify: [tex]\displaystyle y'' = \frac{-75}{16y^7}[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Differentiation
Lateral surface area of a cylinder with a radius of 3 and a height of 8
The answer will be 150.8
Answer: AL≈150.8
Step-by-step explanation:
AL=2πrh
AL=2π3(8)
AL=2π24
AL=150.8 Rounded up
Help please!!! Find the sum of the series show your work
Answer:
[tex]\sum_{i=1}^{12}(3i-1) = 222[/tex]
Step-by-step explanation:
The given series is
[tex]\sum_{i=1}^{12}(3i-1)[/tex]
The first term is
[tex]f(1) = 3 \times 1 - 1 = 2[/tex]
The last term is
[tex]f(12) = 3 \times 12 - 1 = 35[/tex]
To find the number of terms in the sequence, solve,
[tex]3i - 1 = 35[/tex]
[tex]3i = 36 \\ i = 12[/tex]
The sum of the first i-terms of an arithmetic sequence is:
[tex]S_i = \frac{i}{2} (f(1) + f(2))[/tex]
We substitute the values to get;
[tex]S_ {12}= \frac{12}{2} (2+ 35)[/tex]
[tex]S_ {12}=6(37)[/tex]
[tex]S_ {12}= 222[/tex]
Point O is the center of this circle. What is m∠CAB?
A.
55°
B.
48°
C.
45°
D.
35°
Answer:
48
Step-by-step explanation:
Answer:
b)48
Step-by-step explanation:
Which cone has a volume of 24pie cm³? Need this done asap!
Step-by-step explanation:
volume of a cone is given by
[tex] \frac{\pi {r}^{2}h }{3} [/tex]
1st cone,
B= 25π cm²
πr²=25π
r²=25
r=5
Here, volume = π(5)²×3.5/3
=29.1π cm³
2nd cone,
r=3cm
Here, volume = π(3)²×6.5/3
= 19.5π cm³
3rd cone,
r= 4cm
Volume = π(4)²×4.5/3
=24π cm³
4th cone,
B=4π cm²
r²=4
r=2
volume = π(2)²×7.5/3
= 10π cm³
So, the third cone has vol 24π cm³
Solve the equation:
x² – 2x² – 15x=0
Answer: x=0, x²=0
Step-by-step explanation:
Answer:
x=3 and x=5/2
Step-by-step explanation: