The surface area of this right prism is 48 square inches
We are given that;
Height=4in
Base of triangle=5inch
Now,
The formula for calculating the surface area of a right triangular prism is given by:
Surface Area = bh + (S1 + S2 + h)L
The height of the triangle perpendicular to the leg labeled 8 in is labeled 3 in1.
Substituting these values into our formula we get:
Surface Area = (5 x 3) + [(5 + 8 + 5) x 4] = 48 square inches
Therefore, the surface area of the prism will be 48 square inches.
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If f(-5)=7 identify a point on the graph of f
Answer:
If f(-5) = 7, then the point P(-5, 7) will be on the graph of f
where -5 is the x-coordinate and 7 is the y-coordinate
Step-by-step explanation:
How much is 5/9 of -3/5
Answer: -0.333 repeating
Step-by-step explanation:
5/9 x -3/5 = -0.3 repeating decimal
Your answer for this would be -0.333 repeating decimal, which converts to ~-1/3 ! I hope this helps lol :)
Ben drove 4,212 miles. Larry drove 3,400 miles. Ben drove at a speed of about 55 miles per hour. How many more miles does Ben drive than Larry? help me am 9
Answer:
812 miles
Step-by-step explanation:
the answer is 812 miles
Two car services charge different rates. A charges .60 per mile plus 3.00initial charge B charges .75 per mile mile traveled . the situation is modeled bu this system where x is the number of miles traveled and y is the charge for that distance ,in cents. How many miles must each car travel for the charges to be equal and ehat is the charge for that distance
The charges will be equal when each car travels 2000 miles. To find the charge for that distance, we substitute x = 2000 into either equation.
To determine the number of miles at which the charges for the two car services, A and B, are equal, we can set up an equation based on the given information.
Let's represent the charge for car service A as y_A and the charge for car service B as y_B. We can set up the following equations:
For car service A: y_A = 0.60x + 300 (in cents)
For car service B: y_B = 0.75x (in cents)
To find the number of miles at which the charges are equal, we set y_A equal to y_B and solve for x:
0.60x + 300 = 0.75x
Subtracting 0.60x from both sides:
300 = 0.15x
Dividing both sides by 0.15:
x = 300 / 0.15
x = 2000
Therefore, the charges will be equal when each car travels 2000 miles. To find the charge for that distance, we substitute x = 2000 into either equation. Let's use the equation for car service A:
y_A = 0.60(2000) + 300
y_A = 1200 + 300
y_A = 1500 cents or $15.00
So, when each car travels 2000 miles, the charges will be equal at $15.00.
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If A(0, 4), B(5, y), and AB = 13. What is y?
The required value of y for the given segment AB is given as y = 16, -8.
A line is a straight curve connecting two points or more showing the shortest distance between the initial and final points.
here,
A(0, 4), B(5, y), and AB = 13.
Applying the distance formula,
D = √[[x₂ - x₁]² + [y₂- y₁]²]
Substitue the value in the above expression,
13 = √[[5 - 0]² + [y - 4]²]
169 = 25 + [y - 4]²
[y - 4]² = 144
y - 4 = ± 12
y = 16, -8
Thus, the required value of y for the given segment AB is given as y = 16, -8.
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A circle has a radius of 4 ft.
What is the area of the sector formed by a central angle measuring 270 degrees
Use 3.14 for pi and round the decimal to the nearest tenth.
42.8 ft
37.7 ft
12 ft
9.4 ft
The area of the sector is 37.7 ft.
What is sector:
A sector is a region of a circle that is bounded by two radii and the arc of the circle that lies between the endpoints of those radii.
The formula for the area of a sector is given by
A = (θ/360)πr²Where θ is the central angle in degrees, and r is the radius of the circle
Here we have
A circle has a radius of 4 ft.
The central angle of sector formed = 270°
Using the formula, Area of sector = (θ/360°) × π r²
Area of the given sector = [ 270/360] × 3.14 × (4)²
= [0.75 ] × [50.24]
= 37.68 ft
= 37.7 ft
Therefore,
The area of the sector is 37.7 ft.
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find the ninth power of 10. Write it as repeated multiplication, with an exponent, and as a whole number.
The value of the expression 10⁹ by the repeated multiplication will be 1,000,000,000.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
The expression is given below.
⇒ 10⁹
The value of the expression by the repeated multiplication will be given as,
⇒ 10⁹
⇒ 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10
⇒ 1,000,000,000
The value of the expression 10⁹ by the repeated multiplication will be 1,000,000,000.
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From the value of -2x+10
Answer:
The answer is −2(x−5).
Step-by-step explanation:
Please help!!!! It’s urgent
Which of the following rational functions is graphed below?
-10
10-
-10
1
A. F(x) = 1/x(x+3)
B. F(x)= x/x+3
C. F(x)= 3/x
D. F(x)= 1/x(x-3)
Answer:
the answer is D. F(x) = 1/x(x-3)
Step-by-step explanation:
LM is the midsegment of trapezoid RSXY. What is the length of RS?
Can somebody help me with this
The age at which small breed dogs are fully housebroken follows a Normal distribution with mean ms = 6 months and standard deviation ss = 2.5 months. The age at which large breed dogs are fully housebroken follows a Normal distribution with mean mL = 4 months and standard deviation sL = 1.5 months. Let xS – xL represent the sampling distribution. Be sure show all work and conditions. Let the sample size for both sets be 25 dogs. Should we be surprised if the sample mean housebroken age for the small breed dogs is at least 2.5 months more than the sample mean housebroken age for the large breed dogs? Explain your answer.
Answer:
This measure is just 0.17 standard deviations from the mean, so we should not be surprised.
Step-by-step explanation:
Normal probability distribution
When the distribution is normal, we use the z-score formula.
In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
If the z-score is lower than -2, or higher than 2.5, the score of X is considered unusual.
Subtraction of normal variables:
When we subtract normal variables, the mean is the subtraction of the means, while the standard deviation is the square root of the sum of the variances.
Let xS – xL represent the sampling distribution.
Mean s 6, means L 4. So
\(\mu = 6 - 4 = 2\)
Standard deviation s is 2.5, for L is 1.5. So
\(\sigma = \sqrt{2.5^2+1.5^2} = 2.915\)
Should we be surprised if the sample mean housebroken age for the small breed dogs is at least 2.5 months more than the sample mean housebroken age for the large breed dogs? Explain your answer.
We have to find the z-score for X = 2.5. So
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{2.5 - 2}{2.915}\)
\(Z = 0.17\)
This measure is just 0.17 standard deviations from the mean, so we should not be surprised.
What is the vertex form of a quadratic?
A) y= a(x - h)^2+k
B) y= (x -a)(x - b)
C) y = ax^2 + bx + c
D) y = mx + b
The length of a rectangle is 8 inches longer than 3 times its width. The area of the rectangle is 156 square inches.
What is the width of the rectangle?
The Answer:
Width = 6
Step-by-step explanation:
Let width be w
(3w + 8) x w = 156
3 \(w^{2}\) x 8n - 156 = 0
(w + 8 x 6) (w-6) = 0
w = 6
Assume that a company makes only one product, maintains no beginning or ending inventories, and uses a standard costing system. The standard cost card for that product is shown below:
Standard Quantity or Hours Standard Price or Rate Standard Cost
Direct materials 3 pounds $ 13.00 per pound $ 39.00
Direct labor 2 hours $ 16.00 per hour $ 32.00
Fixed manufacturing overhead 2 hours $ 8.00 per hour $ 16.00
The company purchased 22,000 pounds of direct materials from its supplier at a cost of $12.50 per pound. The company used 22,000 pounds of direct material to start and complete 7,800 units of finished goods during the period. Its direct laborers worked 16,000 hours and were paid a total of $248,000. Based on this information, the total increase recorded in the Work in Process account related to direct labor would be:
Garrison 17e Rechecks 2020-09-29
Multiple Choice
$241,800.
$256,000.
$248,000.
$249,600.
Group Ends
Since the company paid a total of $248,000 in direct labor costs during the period, there is no difference between the standard and actual costs of direct labor.
How to calculate labor cost ?To determine the total increase recorded in the Work in Process account related to direct labor, we need to first calculate the total standard cost of direct labor for the period and then compare it to the actual cost of direct labor.
According to the standard cost card, each unit of the product requires 2 hours of direct labor at a rate of $16.00 per hour.
This means that the total standard cost of direct labor for the period is 2 * $16.00 * 7,800 = $248,000.
Since the company paid a total of $248,000 in direct labor costs during the period, there is no difference between the standard and actual costs of direct labor. Therefore, the total increase recorded in the Work in Process account related to direct labor would be $0.
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The shape with corners A(-6,-4), B(-3,-1), C(0,-2), and D(-6,-8) is a trapezoid. What pair of sides are parallel?
Answer:
Step-by-step explanation:
find the volume of the figure
Answer:
Step-by-step explanation:
base area=41.57 in²
height=9 in
volume=41.57×9=374.13 in³
600% of what number is 4,200
Answer: Trust me pleas, 14.29%.
Step-by-step explanation: On my dead moms grave.
Answer:
700
Step-by-step explanation:
600% of 700 is equivalent to multiplying them:
600% × 700 = ?
600% × 700 =
(600 ÷ 100) × 700 =
(600 × 700) ÷ 100 =
420,000 ÷ 100 =
4,200
If 2 pints = 1 quart and 1 quart = 1 pint then how many pints are 2 quarts?
Step-by-step explanation:
1 qt = 2 pts multiply both sides by two
2 qt = 4 pints
solve the compound inequality
Answer: Choice A) \(\boldsymbol{x \le -3} \textbf{ or } \boldsymbol{x \ge 9}\)
===================================================
Explanation:
Let's solve the first inequality mentioned.
To do so, divide both sides by 6.
\(6x \le -18\\\\6x/6 \le -18/6\\\\x \le -3\)
The inequality sign stays the same the entire time. It only flips if we divided both sides by a negative number.
Through similar steps, this is how we'd solve the second inequality given:
\(9x \ge 81\\\\9x/9 \ge 81/9\\\\x \ge 9\)
So overall \(\boldsymbol{x \le -3} \ \textbf{ or } \ \boldsymbol{x \ge 9}\)
The key word "or" is important. If it was "and", then we'd have no solutions because no such number is both smaller than -3 and also larger than 9 at the same time.
The graph of this on the number line will involve closed circles at -3 and 9. Then we shade anything that is not between those closed circles.
Answer:
x ≤ -3 or x ≥ 9
Step-by-step explanation:
Hello!
We can solve for x in both inequalities that are given.
6x ≤ -186x ≤ -18x ≤ -18/6x ≤ -39x ≥ 819x ≥ 81x ≥ 81/9x ≥ 9The answer is the first option: x ≤ -3 or x ≥ 9.
Tip:
If you have an inequality with a negative coefficient, such as -3x ≤ 6, when dividing a number by a negative number, you have to flip the inequality.
are 4 and 16/5 proportional?
Answer:
No
Step-by-step explanation:
Because when you divide 16/5 it's 3 1/5
3 1/5< 4
The lowest common denominator (LCD) for a set of fractions is the smallest number that the
denominators of those fractions will divide into evenly.
A. Yes
B. No
C. Maybe
D. Sometimes
E. Not Applicable
Step-by-step explanation:
"evenly" ? no.
"evenly" would mean to equal parts. that is not the case for different denominators. only for equal ones, and then there is no transformation necessary.
let's say, we want to add
1/14 and 1/32
the LCD (or LCM - the lowest common multiple) is found by looking at the prime factors and by creating the combination of the longest chains of each prime factor.
14 / 2 = 7
7 / 2 no
7 / 3 no
7 / 5 no
7 / 7 = 1
finished.
so, the prime factors of 14 are 2, 7.
32/2 = 16
16/2 = 8
8/2 = 4
4/2 = 2
2/2 = 1
finished.
the prime factors of 32 are 2, 2, 2, 2, 2.
the LCD or LCM is the combination of the longest chains
2×2×2×2×2 × 7 = 32×7 = 224
224 / 14 = 16
224 / 32 = 7
the LCD or LCM is the smallest number that each denominator will divide into without any reminder.
that should be the correct definition.
if you understand "evenly" with the same meaning, then by all means say yes.
as explained, I understand it differently, and therefore I say no.
Solve for b
Y=1/3x+b
Answer:
(3xy - 1)/3x = b
Step-by-step explanation:
make b the subject of formula
then simply it
did you get it
Answer:
b=Y-x/3
Step-by-step explanation:
Solve for b by simplifying both sides of the equation, then isolating the variable.
have a great day and thx for your inquiry :)
in your own words state the angle addition postulate.
The angle addition postulates state that if any point lies in interior of angle then vertices joining point and vertex gives two angle whose sum is equal to the oiginal angle.
Consider the angle AOB with point C lie in interiod of angle.
By angle addition postulate,
\(\angle AOB=\angle AOC+\angle BOC\)Find the surface area of a cylinder with a height of 9 ft and diameter of 4
Answer:50.2654812288
Step-by-step explanation:
The two circles :
Sa = πr²
= π x 2²
= 12.5663706144
= 12.5663706144 x 2
= 25.1327412288
The rectangle :
C x h = 2πr
= 25.13274
= 25.13274 + 25.1327412288
= 50.2654812288
Step-by-step explanation:
50.2654858683848
because it is equivalent to this. Also I can tutor you
if ⅚ of a certain number is -6⅔. what is the number?
The answer would be -3 4/3
Step-by-step explanation:
ok ok ok ok I'm very sorry if i get it wrong at least I tried on this app most of the people don't even do the homework they do it to cheat.
Answer:
Dan and Paul share some money in the ratio 13:5.
Dan decides this is unfair so he gives Paul £32 of his share to make the ratio 1:1.
How much did Paul originally have
Find the mean of the data in the bar chart below. money in each persons piggy bank
Answer:
The chart is showing how much many is in each persons piggy bank.
Step-by-step explanation:
Just a heads up , The title at the top of the graph gives off all the answers as to what the graph is showing.
Answer: 10.5
Step-by-step explanation:
C a l c u l a t o r
also I tried it myself so thats even more proof :D
a container holds 2300 ounces fruit punch. A factory places the fruit punch into 32-ounce bottles. How man full Bottles of fruit punch can the factory produce?
A bag of marbles has 12 green marbles, 5 red marbles, 8 blue marbles and 7 yellow marbles. What is the probability of randomly selecting a blue marble?
Probability = # of desired options / # of total options
Our desired option is blue and there are 9 blue marbles in the bag.
There are 32 total marbles (options) in the bag.
P(blue) = 9 / 32 = 0.28125 = 28.125%
Hope this helps!
If Annie purchased 2 shirts for $10.00, how much will 4 shirts cost?
Answer:
$20
Step-by-step explanation:
2=10
4=20
An environment engineer measures the amount ( by weight) of particulate pollution in air samples ( of a certain volume ) collected over the smokestack of a coal-operated power plant. Let X1 denote the amount of pollutant per sample when a certain cleaning device on the stack is not operating, and let X2 denote the amount of pollutant per sample when the cleaning device is operating under similar environmental conditions. It is observed that X1 is always greater than 2X2, and the relative frequency behavior of (X1, X2) can be modeled by
f(x,y)= k for 0 <= x <= 2, 0<=y <=1 , 2y<= x and 0 elsewhere
(X and Y are randomly distriibutied over the region inside the tricanle bounded by x=2, y=0 and 2y=x)
a. Find the value of k that makes this a probability desnsity function.
b. Find P >= 3y
Answer:
\(k = 1\)
\(P(x > 3y) = \frac{2}{3}\)
Step-by-step explanation:
Given
\(f \left(x,y \right) = \left{ \begin{array} { l l } { k , } & { 0 \leq x} \leq 2,0 \leq y \leq 1,2 y \leq x } & { \text 0, { elsewhere. } } \end{array} \right.\)
Solving (a):
Find k
To solve for k, we use the definition of joint probability function:
\(\int\limits^a_b \int\limits^a_b {f(x,y)} \, = 1\)
Where
\({ 0 \leq x} \leq 2,0 \leq y \leq 1,2 y \leq x }\)
Substitute values for the interval of x and y respectively
So, we have:
\(\int\limits^2_{0} \int\limits^{x/2}_{0} {k\ dy\ dx} \, = 1\)
Isolate k
\(k \int\limits^2_{0} \int\limits^{x/2}_{0} {dy\ dx} \, = 1\)
Integrate y, leave x:
\(k \int\limits^2_{0} y {dx} \, [0,x/2]= 1\)
Substitute 0 and x/2 for y
\(k \int\limits^2_{0} (x/2 - 0) {dx} \,= 1\)
\(k \int\limits^2_{0} \frac{x}{2} {dx} \,= 1\)
Integrate x
\(k * \frac{x^2}{2*2} [0,2]= 1\)
\(k * \frac{x^2}{4} [0,2]= 1\)
Substitute 0 and 2 for x
\(k *[ \frac{2^2}{4} - \frac{0^2}{4} ]= 1\)
\(k *[ \frac{4}{4} - \frac{0}{4} ]= 1\)
\(k *[ 1-0 ]= 1\)
\(k *[ 1]= 1\)
\(k = 1\)
Solving (b): \(P(x > 3y)\)
We have:
\(f(x,y) = k\)
Where \(k = 1\)
\(f(x,y) = 1\)
To find \(P(x > 3y)\), we use:
\(\int\limits^a_b \int\limits^a_b {f(x,y)}\)
So, we have:
\(P(x > 3y) = \int\limits^2_0 \int\limits^{y/3}_0 {f(x,y)} dxdy\)
\(P(x > 3y) = \int\limits^2_0 \int\limits^{y/3}_0 {1} dxdy\)
\(P(x > 3y) = \int\limits^2_0 \int\limits^{y/3}_0 dxdy\)
Integrate x leave y
\(P(x > 3y) = \int\limits^2_0 x [0,y/3]dy\)
Substitute 0 and y/3 for x
\(P(x > 3y) = \int\limits^2_0 [y/3 - 0]dy\)
\(P(x > 3y) = \int\limits^2_0 y/3\ dy\)
Integrate
\(P(x > 3y) = \frac{y^2}{2*3} [0,2]\)
\(P(x > 3y) = \frac{y^2}{6} [0,2]\\\)
Substitute 0 and 2 for y
\(P(x > 3y) = \frac{2^2}{6} -\frac{0^2}{6}\)
\(P(x > 3y) = \frac{4}{6} -\frac{0}{6}\)
\(P(x > 3y) = \frac{4}{6}\)
\(P(x > 3y) = \frac{2}{3}\)