Answer:
The expression "34° (-1/2 x) °" can be simplified by multiplying 34° by the quantity (-1/2 x):
34° (-1/2 x) ° = (34°) * (-1/2 x)
To multiply two values with units, we can simply multiply the numerical parts and keep the units. Therefore, we get:
(34°) * (-1/2 x) = -17x°
So the value of "34° (-1/2 x) °" is simply -17x°.
please find the area to question 4 on tuesday use link below
Answer: im pretty sure the answer is in the pdf, when you scroll down. its 126 cm^2
Step-by-step explanation:
find 5.79 x 3.3.Then, use an estimate to check for reasonableness.
Is. She analyzes
st.
Martha graphs the data for the number of bracelets made, a, and the number of beads used,
y, and draws a line through the points.
Number of Beads Used
600
500
400
300
200
100
0
Bracelets Made
versus Beads Used
(31, 651)
(23, 483).
(10, 210)
5 10 15 20 25 30 35
Number of Bracelets Made
Write an equation that represents the relationship between the number of bracelets made
and the number of beads used. Show or explain how you found the slope and y-intercept.
Enter your equation and your work or explanation in the space provided.
You may use the drawing box to add a drawing to help explain your answer.
A
7
44
▶
Exhibits
P
The equation for the relationship between the number of bracelets made and the number of beads is y = 21x.
First, the rate of change
= (483 - 210) / (23 - 10)
= 273 / 13
= 21
So, the equation for the relationship between the number of bracelets made and the number of beads used.
(y - 210) = 21 (x- 10)
y - 210 = 21x - 210
y = 21x
Learn more about Slope here:
https://brainly.com/question/3605446
#SPJ1
A triangular prism with a base that is a triangle. The triangle has sides of 5 cm, 6 cm, 8 cm and a height of 4 cm that is perpendicular to the base of 5 cm. (area of a triangle is A = 1/2bh) The height of the triangular prism is 9 cm. SA =
cm2
The surface area of the triangular prism is 191 cm².
The surface area (SA) of a triangular prism is given by the formula:
SA = 2A + Ph
where A is the area of the base, P is the perimeter of the base, and h is the height of the prism.
First, we need to find the area of the triangular base.
Using the formula for the area of a triangle:
A = (1/2)bh = (1/2)(5 cm)(4 cm) = 10 square centimeter
Next, we need to find the perimeter of the base:
P = 5 cm + 6 cm + 8 cm = 19 cm
Now we can use the formula for the surface area of a triangular prism:
SA = 2A + Ph
= 2(10 cm²) + (19 cm)(9 cm)
= 20 cm²+ 171 cm²
= 191 cm²
Therefore, the surface area of the triangular prism is 191 cm².
To learn more on Three dimensional figure click:
https://brainly.com/question/2400003
#SPJ1
The ratio of two numbers is 1 to 3 and the sum of their squares is 250. Find the numbers.
Answer:
Step-by-step explanation:
5 and 15
5^2=25
15^2=225
225+25=250
The base of a rectangular prism is 20 cm 2 . If the height of the prism is 5 cm, what is its volume
The volume of a rectangular prism would be 100 cubic cm.
Since we know that rectangular prism is a three-dimensional shape that has two at the top and bottom and four are lateral faces.
The volume of a rectangular prism=Length X Width X Height
We are given that base of a rectangular prism is 20 cm sq. . If the height of the prism is 5 cm, then;
Base area = 20 cm sq.
Height = 5 cm
Volume of a rectangular prism=Length X Width X Height
Volume of a rectangular prism= Base area X Height
Volume of a rectangular prism= 20 x 5
= 100
Learn more about a rectangular prism;
https://brainly.com/question/21308574
#SPJ1
In order to estimate the average electric usage per month, a sample of 121 houses was selected and the electric usage was determined. Assume a population standard deviation of 370 kilowatt-hours. The standard error is 33.64. Find the size of the margin of error at 95% confidence.
a. 1.64
b. 1.96
c. 55.33
d. 65.93
If the standard error is 33.64, the size of the margin of error at 95% confidence is 65.93. So, correct option is D.
The margin of error (ME) can be calculated using the formula:
ME = z* (standard error)
where z is the z-score from the standard normal distribution corresponding to the desired level of confidence. For 95% confidence, z is 1.96.
Substituting the values given in the problem, we have:
ME = 1.96 * 33.64 = 65.93
Therefore, correct option is D.
This means that if we take multiple random samples of size 121 from the population, and calculate the sample mean and confidence interval for each sample, we can expect the true population mean to fall within 65.93 units above or below the sample mean, 95% of the time.
To learn more about population click on,
https://brainly.com/question/15099929
#SPJ1
i dont know how to subtract: 8-4 1/2.
Answer:
The answer would be 3.5 in decimal form.
Answer:
The answer is 55/12
Step-by-step explanation:
8-41/12
(8×12+1×(-41))/12
(96-41)/12
55/12
DE bisects AC at point B. AC=a+23
and AB = 3a + 4. Find BC.
Y
X
13
2
X
(X) XS
X₁
IV
The values of AB and BC are equal and equal to
13 units.How to find BCInformation given in the problem includes
DE bisects AC at point B
AC = a + 23
AB = 3a + 4
From the definition of a bisector, point B divides AC into two equal sides, this means that
AB = BC = (1/2) * AC
Substituting the value of AC and AB
AB = 3a + 4 = (1/2) * (a + 23)
3a + 4 = (1/2) * (a + 23)
solving for a
2 * (3a + 4) = a + 23
6a + 8 = a + 23
6a - a = 23 - 8
5a = 15
a = 3
Then we have that:
AB = 3a + 4 = 3(3) + 4 = 9 + 4 = 13
and, AB = BC
so BC = 13
Learn more about bisect at
https://brainly.com/question/11006922
#SPJ1
Which of the following points represents a striking deviation in the box plot above?
A.
P
B.
R
C.
S
D.
Q
A point that represent a striking deviation in the box plot above include the following: C. P.
What is a box-and-whisker plot?In Mathematics and Statistics, a box plot can be defined as a type of chart that can be used to graphically or visually represent the five-number summary of a data set with respect to locality, skewness, and spread.
Based on the information provided about the data set, the five-number summary for the given data set include the following:
Minimum (Min) = 24.First quartile (Q₁) = 26.Median (Med) = 28.Third quartile (Q₃) = 29.Maximum (Max) = 30.In conclusion, we can logically deduce that point P represent a striking deviation in the box plot because it is an outlier (it is significantly far from all of the other data points).
Read more on boxplot here: brainly.com/question/29648407
#SPJ1
An oil company has a cylindrical drum with a capacity of 806 cubic yards. To construct this drum, the
cost of material for the top of the drum is $2 per square yard, $2 per square yard for the bottom of
the drum, and $17 per square yard for the side wall of the drum. What dimensions must this
cylindrical drum have to be constructed at minimum cost?
The measurements of the cylindrical (round and hollow) drum that minimize the fetched of development are roughly 10.19 yards by 2.46 yards.
How to Solve the Problem?Let's expect that the round and hollow drum includes a stature of h and a span of r.
The volume of a barrel is given by: V = πr^2h.
We know that the drum includes a capacity of 806 cubic yards, so able to compose:
πr^2h = 806
We need to play down the taken a toll of building the drum, which is given by the entirety of the fetched of the beat, foot, and side divider.
The zone of the beat and foot of the drum is given by: A = πr^2.
The fetched of fabric for the beat and foot is $2 per square yard, so the taken a toll of the best and foot is:
C_topbottom = 2A = 2πr^2
The cost of fabric for the side divider is $17 per square yard, and the region of the side divider is given by:
A_side = 2πrh
The whole fetched of building the drum is in this manner:
C = C_topbottom + C_side = 2πr^2 + 17(2πrh) = 2πr^2 + 34πrh
Presently we are able utilize the condition for the volume of the drum to kill h from the fetched condition:
h = 806/(πr^2)
Substituting this expression for h into the taken a toll condition, we get:
C = 2πr^2 + 34πr(806/(πr^2)) = 2πr^2 + 27404/r
To discover the least fetched, we got to take the subordinate of the fetched condition with regard to r and set it rise to to zero:
dC/dr = 4πr - 27404/r^2 =
Fathoming for r, we get:
r = (27404/(4π))^(1/3) ≈ 10.19 yards
Substituting this esteem of r back into the expression for h, we get:
h = 806/(π(10.19)^2) ≈ 2.46 yards
Hence, the measurements of the round and hollow drum that minimize the fetched of development are roughly:
Span: 10.19 yards
Stature: 2.46 yards
Learn more about cylinder here: https://brainly.com/question/27440983
#SPJ1
How many meters is in 270 centimeters
Answer:2.7
Step-by-step explanation:
Formula, divide the value in centimeters by 100 so 1 meter equals 100 centimeters
So 270 centimeters = 270/100 = 2.7
What is the volume of this prism?44 cubic units
88 cubic units
102 cubic units
Not enough information.
The volume of the prism will be 88 cubic units. Then the correct option is B.
Given that:
Length, L = 4 units
Width, W = 4 units
Height, H = 5.5 units
The volume of the prism is given as,
V = L x W x H
The volume of the prism is calculated as,
V = 4 x 4 x 5.5
V = 88 cubic units
The volume of the prism will be 88 cubic units. Then the correct option is B.
More about the rectangular prism link is given below.
https://brainly.com/question/12649592
#SPJ1
The complete question is given below.
2. Determine the area of t he parallelogram. 3.7 m 12 m Formula: Plug in Values: Area:
The equivalent area of the parallelogram is 44.4m^2
The area of a parallelogramThe formula for finding the area of a parallelogram is expressed as:
Area = base * height
Given the following parameters
Base = 12m
Height = 3.7m
Substitute the given parameters into the formula to have:
Area = 12m * 3.7m
Area of the parallelogram = 44.4m^2
Hence the area of the parallelogram given is 44.4m^2
Learn more on area of parallelogram here: https://brainly.com/question/24291122
#SPJ1
Question 10
Solve the problem. nPr Repeats on the bottom.
A committee is to be formed consisting of 4 men and 6 women. If the committee members are to be
chosen from 9 men and 9 women, how many different committees are possible?
10,584
O182,891,520
O210
O43,758
The different committees possible are 10,584. Option A is the answer.
Choosing 4 men out of 9Тhe number оf wаys tо choosе 4 men out оf 9 is givеn by 9C4, which is:
9C4 = (9!)/(4!5!)
= 126
Similаrly, the number оf wаys tо choosе 6 wоmen out оf 9 is givеn by 9С6, which is:
9С6 = (9!)/(6!3!)
= 84
So the tоtal number оf wаys tо choosе a committее consisting оf 4 men and 6 wоmen is:
126 * 84 = 10,584
Тherefore, the аnswer is (А) 10,584.
Learn more on permutation and combination here https://brainly.com/question/4658834
#SPJ1
Use three different values of n to demonstrate that 2n + 3n is equivalent to 5n.
The three different values of n to demonstrate that 2n + 3n is equivalent to 5n are 1, 4 and 10.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
A = 2n + 3n
On simplifying the equation , we get
A = 5n
when n = 1 , we get
2n + 3n = 2(1) + 3(1) = 2 + 3 = 5
5n = 5(1) = 5
Therefore, both expressions give the same result of 5.
when n = 4 , we get
2n + 3n = 2(4) + 3(4) = 8 + 12 = 20
5n = 5(4) = 20
Again, both expressions give the same result of 20.
when n = 10 , we get
2n + 3n = 2(10) + 3(10) = 20 + 30 = 50
5n = 5(10) = 50
Hence , the equation is solved
To learn more about equations here:
brainly.com/question/19297665
#SPJ1
If m∡KJL = (3x +2) degrees and ∡KLJ = (7x - 32) degrees, find mKL⌢.
mKL⌢=z____ degrees
(50 POINTs will give BRAINIEST FOR EFFORT)
Answer:
angle m∠WXY intercepts the diameter WY.
Then,
m∠WXY = 90°
(13x - 1)° = 90°
13x - 1 = 90
Add 1 to each side.
13x = 91
Divide each side 13.
x = 7
Step-by-step explanation:
HOPE THIS HELPSSS
What is the measure of y (angle AXB)?
1. 90°
2. 60°
3. 45°
4. 30°
Answer:
4. 30°
Step-by-step explanation:
Sum of interior angles of a triangle = 180
y° + ∠XYZ + ∠YZX = 180
y° = 180 - 90 - 60 = 30°
PLEASE HELP I DON'T UNDERSTAND THIS!!!!!
Answer:
C. (4, 0)
Step-by-step explanation:
(x, y)
a. (4, 3)
y = 12 - 3x
3 = 12 - 3(4)
3 = 12 - 12
3 = 0 false
b. (-4, 4)
y = 12 - 3x
4 = 12 - 3(-4)
4 = 12 + 12
4 = 24 false
c. (4, 0)
y = 12 - 3x
0 = 12 - 3(4)
0 = 12 - 12
0 = 0 true
d. (0, 4)
y = 12 - 3x
4 = 12 - 3(0)
4 = 12 - 0
4 = 12 false.
Answer: C (4, 0)
Step-by-step explanation:
your function y = 12 - 3x
They are asking which of those points are on the line
(x, y) this is a format of a point where you can plug in x for x and y for y.
a. (4, 3) x=4 y=3 substitute and see if your answer is true
3 = 12 -3(4)
3 = 0 this is not true so (4, 3) is not a solution
b. (-4,4) x= -4 y=4
4 = 12 - 3(-4)
4 = 24 not true
c. (4, 0) x=4 y=0
0 = 12-3(4)
0 = 0 true (4,0) is a solution
d. (0, 4)
4 = 12 - 3 (0)
4=12
Two more then a product of 11 and a number
Step-by-step explanation:
( 11 * x ) + 2 where 'x' is a number
Two train tracks run parallel leaving a station. Train A leaves the station heading east at 55 mph. Train B leaves the station 2 hrs and 15 minutes later also traveling east but at 120 mph. The equation below gives the distance, D, between the two trains as a function of the number of hours, T, that have passed since train B left the station.
For which two values of T will D = 40? Round to the nearest tenth.
A.
0.1 and 0.3
B.
12.9 and 25.2
C.
-1.3 and 1.3
D.
1.3 and 2.5
Answer: Answer choice C: -1.3 and 1.3.
Step-by-step explanation:
We can start by using the formula for the distance, D, between the two trains as a function of time, T:
D = 55(T + 2.25) - 120T
Simplifying this equation, we get:
D = 55T + 123.75 - 120T
D = -65T + 123.75
To find the two values of T for which D = 40, we can set this equation equal to 40 and solve for T:
40 = -65T + 123.75
-85 = -65T
T = 1.31
Plugging this value back into the original equation, we can see that D is equal to 40:
D = -65(1.31) + 123.75
D = 40.0375
Therefore, one solution is T = 1.31. To find the other solution, we can plug D = 40 into the equation and solve for T:
40 = -65T + 123.75
-83.75 = -65T
T = 1.29
Plugging this value back into the original equation, we can see that D is equal to 40:
D = -65(1.29) + 123.75
D = 40.0375
Therefore, the two values of T for which D = 40 are approximately 1.3 and 1.3, which rounds to answer choice C: -1.3 and 1.3.
Can someone please help me and give me the answer ASAP
1. The lateral surface area of the prism is 200 units²
2. The lateral surface area of the cylinder is 125.6 cm²
What is lateral surface area?The lateral surface area is the area of the lateral surface.
The lateral surface area of a prism is expressed as;
LSA = (a+b+c)h
or perimeter of the base × height
LSA = (6+12+7)8
= 25 × 8
= 200 units²
The lateral surface area of a cylinder
= 2πrh
r = 4cm and h = 5cm
LSA = 2 × 3.14 × 4 × 5
LSA = 40 × 3.14
= 125.6cm²
learn more about lateral surface area from
https://brainly.com/question/12506372
#SPJ1
Johan wants to make some small cakes.
He finds a recipe that says he needs 360 grams of flour to make 15 small cakes.
Johan has 0.85 kg of flour.
Johan works out how much flour he would need to make 38 small cakes, using the
information given in the recipe.
Does Johan have enough flour, according to the recipe, to make 38 small cakes?
Show your working clearly.
The amount of flour that will be needed for 38 cakes is 912 grams therefore Johan does not have enough amount of flour
What is word problem?A word problem is a mathematical exercise where significant background information on the problem is presented in ordinary language rather than in mathematical notation.
360 grams is needed for 15 small cakes
therefore for 1 small cake, 369/15 = 24grams will be needed
therefore for 38 small cakes = 38× 24 = 912 grams of flour will be needed.
Johan has 0.85 kg of flours which is equivalent to 0.85 × 1000grams = 850 grams of flour.
Since 912 grams will be needed for 38 small cakes , it shows that Johan does not have enough amount of flour for 38 small cakes.
learn more about word problem from
https://brainly.com/question/21405634
#SPJ1
An executive for a large company received gross pay of $200,000 for the year 2018. Determine the total amount of FICA tax that was paid on behalf of the employee. Round your answer to the nearest cent. Do NOT round until you calculate the final answer.
The total amount of FICA tax that was deducted from the executive's paychecks for the year 2018 is $10,860.80.
What is the total amount of FICA tax?The FICA tax is imposed on both employees and employers to fund Social Security and Medicare which are federal programs that provide benefits for retirees, the disabled and children of deceased workers.
The Social Security tax will be calculated on the maximum taxable earnings of $128,400:
= $128,400 x 6.2%
= $7,961.20
The Medicare tax will be calculated on the entire earnings:
= $200,000 x 1.45%
= $2,900.
The total FICA tax will be:
= Social Security tax + Medicare tax
= $7,960.80 + $2,900
= $10,860.80.
Read more about FICA tax
brainly.com/question/2288869
#SPJ1
What is the volume of the following rectangular prism? 3 1/3 1 2/5
Area of rectangular prism: Base x Height.
so 3x1/3x2/5=0.4 0r 2/5
Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AC = 65
and DC = 6, what is the length of BC in simplest radical form?
Answer: =
B
65
6
C
Submit Answer
Applying the leg rule, the length of BC in simplest radical form is: x = x = √390
How to Apply the Leg Rule?The leg rule is used to find missing lengths in a right triangle when an altitude intersects the hypotenuse and form segments.
The leg rule is given as:
Hypotenuse / leg = leg / part
Thus, using the image given, we have:
Hypotenuse (AC) = 65
Part (DC) = 6
Leg = x
Plug in the values:
65 / x = x / 6
Cross multiply:
x * x = 6 * 65
x² = 390
x = √390
Learn more about the right triangle on:
https://brainly.com/question/30310305
#SPJ1
Please help with my question!!!!!!!!
The perimeter of the regular nonagon will be; 840.7 units
The in-radius of the regular nonagon is given as:
Radius, r =17
The perimeter is then calculated by:
P = 18r/Tan(π/9)
Substitute 17 for r;
P = 18(17)/Tan(π/9)
Evaluate the product of 18 and 17;
P = 306/Tan(π/9)
Evaluate the quotient
P = 840.7
Hence, the perimeter of the regular nonagon = 840.7 units
Read more about perimeters at:
brainly.com/question/24571594
#SPJ1
Gary has 24 quarters, 16 dimes, and 32 pennies. Write a ratio that compares the combined number of dimes and pennies to the number of quarters
Exercise 1: Identify each triangle based on sides. (Equilateral, Isosceles or Scalene).
The triangles are classified according to their sides as:
1. equilateral 2. Scalene 3. and 4. Isosceles 5. equilateral 6. and 7. scalene triangle. 8. Isosceles 9. and 10. Equilateral
How to Identify Triangles based on their Sides?Recall the following:
A triangle is equilateral if all three sides are equal.
It is isosceles if it has two equal sides.
A triangle is scalene if all three sides are of different lengths.
1. The triangle is equilateral because all sides are equal.
2. Scalene
3. and 4. Isosceles (two sides are equal)
5. All sides are equal, so it is an equilateral triangle.
6. and 7. The three sides have different lengths, therefore, it is a scalene triangle.
8. Isosceles
9. and 10. Equilateral
Learn more about classification of triangles on:
https://brainly.com/question/30982862
#SPJ1
Help me solve and show my work please
The simplified form of trigonometric functions by trigonometric formulas are listed below:
Case 1: 0.5√(2 - √3)
Case 2: (0.5√2) / (1 + 0.5√2)
Case 3: sin 6x
Case 4: sin θ
How to simplify and evaluate trigonometric functions
In this problem we must simplify and evaluate trigonometric functions by means of trigonometric formulas. The first two expressions must be simplified and evaluated by of half angle formulas:
Case 1
sin 15° = √[(1 - cos 30°) / 2]
sin 15° = √[(1 - √3 / 2) / 2]
sin 15° = √[(2 - √3) / 4]
sin 15° = 0.5√(2 - √3)
Case 2
tan 22.5° = sin 45° / (1 + cos 45°)
tan 22.5° = (0.5√2) / (1 + 0.5√2)
The last two expressions are simplified and evaluated by double angle formulas:
Case 3
2 · sin 3x · cos 3x
sin 6x
Case 4
2 · sin 0.5θ · cos 0.5θ
sin θ
To learn more on trigonometric formulas: https://brainly.com/question/3785172
#SPJ1
