Step-by-step explanation:
Actual graph for this problem is attached below
m∠TUV = 167°
m∠TUL = (x + 11)°
m∠LUV = (11x)°
m∠TUV= m∠TUL+ m∠LUV
now plug in the angles for each
m∠TUV= m∠TUL+ m∠LUV
\(167= x+11 +11x\)
solve the equation for x
\(167= x+11 +11x\\167=11 +12x\)
Subtract 11 from both sides
\(156=12x\)
divide both sides by 12
x=13
m∠TUL = (x + 11)°
m∠TUL = (13+ 11)° = (24)°
answer:
24°
Which of the following problems would NOT have a solution? Group of answer choices 10 divided by 2. 10 divided by 5. 10 divided by 0. 0 divided by 10.
10 divided by 0 problem would NOT have a solution.
Given:
a. 10 divided by 2
b. 10 divided by 5
c. 10 divided by 0
d. 0 divided by 10
We know that ,
Integer divided by an integer is an integer
Therefore (a) and (b) will have a proper solution
We also know that ,
Zero divided by anything is Zero
Therefore (d) also have a unique answer that is zero
Now , We know that
Any numeric value divided by Zero tends to infinity .
Hence, 10 divided by 0 problem would NOT have a solution.
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Tyreke can complete 5 problems in 8 minutes.
How long will it take him to complete 30
problems?
Answer:
48 minutes
30/5 = 6
6 x 8 = 48
Answer: 48
Step-by-step explanation:
if Tyreke can solve:
5 problems in 8 minutes
30 problems in ? minutes
(30*8)/5=48
A survey of 400 students yielded the following information: 262 were seniors, 215 were commuters, and 150 of the seniors were commuters. How many of the 400 surveyed students were seniors or were commuters?
Out of the 400 surveyed students, 327 were either seniors or commuters.
To find the number of students who were either seniors or commuters out of the 400 surveyed students, we need to add the number of seniors and the number of commuters while avoiding double-counting those who fall into both categories.
According to the information given:
There were 262 seniors.
There were 215 commuters.
150 of the seniors were also commuters.
To avoid double-counting, we need to subtract the number of seniors who were also commuters from the total count of seniors and commuters.
Seniors or commuters = Total seniors + Total commuters - Seniors who are also commuters
= 262 + 215 - 150
= 327
Therefore, out of the 400 surveyed students, 327 were either seniors or commuters.
It's important to note that in this calculation, we accounted for the overlap between seniors and commuters (150 students who were both seniors and commuters) to avoid counting them twice.
This ensures an accurate count of the students who fall into either category.
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An angle measures 10° more than the measure of its complementary angle. What is the
measure of each angle?
Answer:
50 and 40
Step-by-step explanation:
Complimentary angles must add up to equal 90 degrees. Therefore, you must find two numbers that add to 90 and have a difference of 10. Try different number values until this is true. One must be 50 and the other 40 degrees.
Solve these inequalities:
7x-1<26-2x
please help me with this one guys ;-;
Answer: inequality form x < 3 interval form: ( -∞, 3)
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
A probability experiment is conducted in which the sample space of the experiment is S={ 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14}, event F={5, 6, 7, 8, 9}, and event G={9, 10, 11, 12}. Assume that each outcome is equally likely. List the outcomes in F or G. Find P(F or G) by counting the number of outcomes in F or G. Determine P(F or G) using the general addition rule.
List the outcomes in F or G. Select the correct choice belowand, if necessary, fill in the answer box to complete your choice.
A. F or G = { _____ }
(Use a comma to separate answers as needed.)
F or G = { 5,6,7,8,9,10,11,12 } is probability P(F or G) using the general addition rule.
What are examples and probability?
The likelihood that something will happen is called the probability. the total number of conceivable outcomes.
For instance, the chance of flipping a coin and obtaining heads is 1 in 2, as there is only one way to acquire a head and there are a total of 2 possible outcomes (a head or tail). P(heads) = 12 is what we write. the forerunners of the contemporary mathematical theory of probability (for example the "problem of points").
S={ 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14},
event F={5, 6, 7, 8, 9}, and
event G={9, 10, 11, 12}.
F or G = { 5,6,7,8,9,10,11,12 }
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39. If the letters A, B, C, D, E, F represent the numbers 4 to 9 in some
order, and
A + C = D
A + D = 2B
C + E = 2F
then what number does F represent?
Answer:
8????? I dont really know.....
Solve this equation (Shown in the screenshot below)
Answer:
x = {-2, 0, 2}
Step-by-step explanation:
You want the solutions to √((√(x²) -1)²) = 1.
SolutionSquaring both sides gives ...
(√(x²) -1)² = 1² = 1
Taking the square root of both sides gives ...
√(x²) -1 = ±1
Adding 1, we have ...
√(x²) = 1 ± 1 = {0, 2}
We know that √(x²) = |x|, so this reduces to ...
|x| = {0, 2}
x = {±0, ±2}
x = {-2, 0, 2}
__
Additional comment
For finding the solutions graphically, we like to plot the equation in the form f(x) = 0. The graphing calculator readily identifies the x-intercepts, which are the solutions.
A soda factory makes 9 flavours of soda. Each case of soda has 7 cans of each flavour. How many cans of soda does the factory put in 7 cases?
The factory will put 441 cans of soda in 7 cases.
If each case of soda contains 7 cans of each flavor, and the factory is putting 7 cases, we can calculate the total number of cans by multiplying the number of flavors, cans per flavor, and cases.
Given:
Number of flavors = 9
Cans per flavor = 7
Number of cases = 7
To calculate the total number of cans, we can multiply these values:
Total cans = Number of flavors × Cans per flavor × Number of cases
Total cans = 9 × 7 × 7
Total cans = 441
To arrive at this answer, we multiplied the number of flavors (9) by the number of cans per flavor (7) to get the number of cans per case (63). Then, we multiplied the cans per case (63) by the number of cases (7) to obtain the total number of cans (441).
Hence, the factory will put 441 cans of soda in 7 cases.
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Después de leer un libro sobre el antiguo
Egipto, Cassie decidió construir con cartón un
modelo de una pirámide.
30 cm
25 cm
Cassie need to make the model is 2250 cm²
What is square pyramid?A square pyramid has a square base and four lateral faces in geometry. A pyramid is a polyhedron with a base and three or more triangular faces that meet above it .
The complete question is attached below:
We know,
A= a(a+ √(a²+4h²))
and, a =25cm, h=30 cm
So,
A= 25(25+ √(25²+4*30²))
=25(25+65)
= 2250 cm²
Hence, Cassie need to make the model is 2250 cm²
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"If a circle has diameter 10 units, what is its circumference? What is its area?
X/4-14=9
what is x?
Step-by-step explanation:
x/4=9+14
x/4=23
x=92
iget 92
The rectangles shown below are similar.
Which statement below shows the correct proportion between their sides?
Answer:
12/4 = L/8
Step-by-step explanation:
.......................
Lines MN and GH are parallel. If the measure of angle 6 is 45°, what is measure of angle 4?
Answer: It will be A that is the best answers
What is the measure of each interior angle of the regular polygon pictured below? If necessary, round to the nearest tenth.
\(\underset{in~degrees}{\textit{sum of all interior angles}}\\\\ n\theta = 180(n-2) ~~ \begin{cases} n=\stackrel{number~of}{sides}\\ \theta = \stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ n=5 \end{cases}\implies 5\theta =180(5-2) \\\\\\ 5\theta =180(3)\implies 5\theta =540\implies \theta =\cfrac{540}{5}\implies \theta =108\)
B. What is each piece measurement if the angle is cut into 9 equal
lengths? Kerf width is 0.125.
Each piece Measurement of an angle of 120 degrees cut into nine equal lengths with a kerf width of 0.125 would be 14.4583 degrees.
When a particular angle is cut into nine equal parts, the measure of each piece needs to be calculated.
Therefore, it is essential to first calculate the total angle measure and then divide it by the number of parts into which it is being cut.
What is an Angle?
An angle is a geometrical shape that consists of two rays sharing a common endpoint. The common endpoint is known as the vertex, and the two rays are known as the arms of the angle. An angle can be measured in degrees, radians, or gradians. Degrees are the most commonly used unit of measuring angles.How to Calculate Each Piece Measurement of an Angle if Cut into 9 Equal Lengths
To determine each piece measurement of an angle if cut into nine equal lengths, we will need to carry out the following steps:
Step 1: Calculate the total angle measure Suppose the angle being cut into nine equal lengths is an obtuse angle measuring 120 degrees. In that case, the total angle measure will be 120 degrees.
Step 2: Divide the total angle measure by the number of parts into which it is being cut.120 degrees ÷ 9 = 13.3333 degrees
Step 3: Add the kerf width to the piece measurements.0.125 x 9 = 1.125 degrees13.3333 + 1.125 = 14.4583 degrees
Therefore, each piece measurement of an angle of 120 degrees cut into nine equal lengths with a kerf width of 0.125 would be 14.4583 degrees.
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At a certain company, loan agents are paid based on the number of loans they close in a day. Based on company records, the number of loans X that a randomly selected loan agent closes on a randomly selected day has the probability distribution below.x 1 2 3 4 5 6 7p(x) 0.05 0.10 0.22 0.30 0.18 0.12 0.03 At the company, the daily salary of a loan agent is $150 plus $50 per loan closed. Let YY represent the amount of money made by a randomly selected loan agent on a randomly selected day. Which of the following statements is NOT true?A. The mean of X is less than the mean of Y. B. The standard deviation of Y is approximately $71. C. The mean daily salary is greater than $350 per day. D. The standard deviation of X is less than the standard deviation of Y. E. The shape of the probability distribution of Y is unimodal and roughly symmetric.
Answer:
C. The mean daily salary is greater than $350 per day
Step-by-step explanation:
The computation is shown below:
Y = a + bX
where,
Y = money made by a random selected
a = $150
b = $50
X = number of loan
Now
E(x) = (1 × 0.05) + (2 × 0.10) + (3 × 0.22) + (4 × 0.30) + (5 × 0.18) + (6 × 0.12) + (7 × 0.03)
= 3.94
Now
E(y) = $150 + ($50 × 3.94)
= $347
hence, the option C is not correct
The mean daily salary is greater than $350 per day and this can be determined by using the given data.
Given :
At a certain company, loan agents are paid based on the number of loans they close in a day.
The computation is given by:
Y = a + bX
where Y is the money made by randomly selected, a is $150, b is $50, and X is the number of loans.
Now, the value of E(x) is given by:
\(\rm E(x) = (1\times 0.5)+(2\times 0.1)+(3\times 0.22)+(4\times 0.3)+(5\times 0.18)+(6\times 0.12)+(7\times 0.03)\)
\(\rm E(x) = 3.94\)
Now, the value of E(y) is given by:
\(\rm E(y) = 150+(50\times 3394)\)
E(y) = $347
So, the correct option is given by C) The mean daily salary is greater than $350 per day.
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One number exceeds another by 20 and their sum is 30. Find the two numbers.
Answer:
25 & 5
Step-by-step explanation:
x+x+20=30
2x+20=30
2x=10
x=5
x+20=25
If One number exceeds another by 20 and their sum is 30 then the two numbers are 5 and 25.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that One number exceeds another by 20 and their sum is 30.
By the given data the two numbers are x+20 and x
As the sum of two numbers is 30
x+x+20=30
Add the like terms
2x+20=30
Subtract 20 on both sides
2x=10
Divide both sides by 2
x=5
So the two numbers are 5 and 5+20 which is 25
Hence, the two numbers are 5 and 25.
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9393 divided by 76 and what is the remaining
Answer:
123 is the answer & the remainder is 45.
Step-by-step explanation:
76 9393
-0 ↓
9 3
- 76 ↓
17 9
- 152↓
27 3
− 228
45
Hopefully this makes sense!
Answer:
123 R 45
Step-by-step explanation:
just did it on Khan academy.
What is the surface area of the cuboid 3cm 5cm and 2cm.
Answer:
SA = 62 cm2
Step-by-step explanation:
The surface area of the given cuboid will be 62 cm² whose dimensions are cm, 5 cm, and 2 cm.
What is the formula for the total surface area of a cuboid?The total surface of the cuboid = 2(LB+BH+HL)
Consider that the length, width, and height of the cuboid are L, B, and H.
The cuboid is given in the question
Which has the length, width, and height of the cuboid are 3 cm, 5 cm, and 2 cm.
The surface area of the cuboid = 2(LB+BH+HL)
Here L = 3 cm, B = 5 cm, and H = 2 cm
Substitute the values in the above formula, and we get
The surface area of the cuboid = 2(3 × 5 + 5 × 2 + 2 × 3)
The surface area of the cuboid = 2(15 + 10 + 6)
The surface area of the cuboid = 2(31)
The surface area of the cuboid = 62 cm²
Thus, the surface area of the given cuboid will be 62 cm² whose dimensions are cm, 5 cm, and 2 cm.
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If you only have a 1/4 measuring cup and a recipe calls for 3 1/4cups of flour, how many 1/4 cups would you need to use?
Answer:
17 cups i believe. lemme check. naw its 13
Step-by-step explanation:
Answer:
in total 3 cups of 1/4 of flour.
Step-by-step explanation:
Can I please get help with B
Answer:
sure just bring the question and it will be answered
3^p*3^q=1/9. what is p and q?
Answer:
-1
Step-by-step explanation:
p and q are the same
p = q = -1
3^-1 x 3^-1 = 1/3 x 1/3 = 1/9
what is the decimal for five and six hundred seven thousandths
9514 1404 393
Answer:
5.607
Step-by-step explanation:
5 and six hundred seven thousandths = 5 607/1000 = 5.607
Answer:
5.607
Step-by-step explanation:
Which is the
4
graph of f(x) = 4[*?
-3-2--1₁-
-2-
2 3 4 5 6
4
1
1-2--11-
-2
2 3
56
4
2-11.
-2-
23
56
Option 2 is the correct graph for the function f(x) = \(4[(1/2)^{x}]\) .
Given ,
f(x) = \(4[(1/2)^{x}]\)
Mathematically the graph will of exponential in nature.
So,
Let us assume few values to understand the nature of graph.
Firstly,
Let x= 1
f(x) = \(4[(1/2)^{1}]\)
f(x) = 2
Let x = 2
f(x) = \(4[(1/2)^{2}]\)
f(x) = 1
Let x = 3
f(x) = \(4[(1/2)^{3}]\)
f(x) = 0.5
Thus from these values of f(x) corresponding to the values of x second graph will be correct .
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Help I need the answer
Fast
Answer: 4
Step-by-step explanation: because he needs to divided by 2
1. Which one of the following is NOT true about polynomial functions f(x) and g(x) if deg (f) = man * d deg * (g) =n?
A. deg (f + g) = max(m, n)
B. deg (f_{g}) <= m + n
C. If g is a factor of f then deg( f )<= m
D. The deg (f ^ 3) = 3m
The option that is not true about polynomial functions is:
Option D. The deg (f ^ 3) = 3m
How to Interpret the degree of Polynomial functions?For polynomial functions f(x) and g(x), if deg(f) = m * deg(g) = n, then we have the following:
Option A: deg(f + g) = max(m, n)
This is true because we know that the degree of the sum of two polynomials is the maximum of their individual degrees.
Option B: deg(f * g) <= m + n
This is true because we know that the degree of the product of two polynomials is at most the sum of their individual degrees.
Option C: If g is a factor of f, then deg(f) <= m
This is true because If g is a factor of f, it means that f can be divided by g without leaving a remainder. In this case, the degree of f is less than or equal to the degree of g.
D. The deg(f ^ 3) = 3m
This is not true because the degree of the polynomial f raised to the power of 3 is not necessarily equal to 3 times the degree of f. The degree of f^3 will depend on the individual terms and their exponents.
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When a constant force is applied to an object, the acceleration of the object varies inversely with its mass. When a certain constant force acts upon an object
with mass 4 kg, the acceleration of the object is 9 m/s². When the same force acts upon another object, its acceleration is 6 m/s². What is the mass of this
object?
Step-by-step explanation:
a = k/m or ma = k
using 4 and 9 4* 9 = k = 36
then the equation becomes:
ma = 36
using a = 6
6 * m = 36 shows m = 6 kg
2x-3\(\geq\) 0
Answer:
x ≥ 1.5
Step-by-step explanation:
2x - 3 ≥ 0 ( add 3 to both sides )
2x ≥ 3 ( divide both sides by 2 )
x ≥ 1.5
please help!! i’ll give brainly
Answer:
1: y = 3x + 1 Swap sides so that all variable terms are on the left hand side. 3x + 1 = y Subtract 1 from both sides.
2: y(x) = 5x, y(x) is just another way of writing the equation to indicate that y is a function of x. You could simply write it as y = 5x. Thus if we compare to the standard form equation y = ax + b, a=5 and b=0. Thus the y-intercept is zero.
3: the answer is simply 0
4: y-(1/5*x-10)=0
STEP
1
:
1
Simplify —
5
Equation at the end of step
1
:
1
y - ((— • x) - 10) = 0
5
STEP
2
:
Rewriting the whole as an Equivalent Fraction
2.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using 5 as the denominator :
10 10 • 5
10 = —— = ——————
1 5
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
2.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
x - (10 • 5) x - 50
———————————— = ——————
5 5
Equation at the end of step
2
:
(x - 50)
y - ———————— = 0
5
STEP
3
:
Rewriting the whole as an Equivalent Fraction :
3.1 Subtracting a fraction from a whole
Rewrite the whole as a fraction using 5 as the denominator :
y y • 5
y = — = —————
1 5
Adding fractions that have a common denominator :
3.2 Adding up the two equivalent fractions
y • 5 - ((x-50)) 5y - x + 50
———————————————— = ———————————
5 5
Equation at the end of step
3
:
5y - x + 50
——————————— = 0
5
STEP
4
:
When a fraction equals zero :
4.1 When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Hope this helps :)