Answer:
[tex]n=0.001[/tex]
Step-by-step explanation:
[tex](2\times10)+(5\times1)+(3\times n)=25.003\\\\\implies 20 + 5 + 3n = 25.003\\\\\implies 3n+25=25.003\\\\\implies 3n+25-25=25.003-25\\\\\implies 3n = 0.003\\\\\implies n=0.001[/tex]
Points S, U, and T are the midpoints of the sides of TrianglePQR.
Triangle S U T is inside of triangle P Q R. Points S, U, and T are the midpoints of triangle P Q R.
Which statements are correct? Check all that apply.
One-halfQP = UT
One-halfTS = RQ
SU = PR
SU ∥ RP
UT ⊥ RP
Option A and D. The statements that are correct here are
1/2 QP = UTSU ║ RPHow to arrive at the statements about the midpointsIf the two points UT and QP are parallel, then UT is going to be the half of QP. This would be due to a scale factor of 1/2.
Then at a midpoint T is that of PR. SU is parallel to RP. SU is half of RP due to as scale factor of 1/2.
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Answer: A and D E2020
Step-by-step explanation:
E2020 geometry B!! :)
What is the solution of
2x + 7 ≥ or 8 - x/3 ≤ 5
Answer: Second option from the top
Step-by-step explanation:
First, we will simplify the given inequalities.
2x + 7 ≥ 1
2x ≥ -6
x ≥ -3
-
8 - [tex]\frac{x}{3}[/tex] ≤ 5
- [tex]\frac{x}{3}[/tex] ≤ 5
- [tex]\frac{x}{3}[/tex] ≤ -3
x ≥ 9
Now, we will graph them. See attached.
2. Given the equation of a line, y = 1/5x, the slope is:
Answer:
1/5
Step-by-step explanation:
The slope-intercept form looks like [tex]y=mx+b[/tex] where b is the y-intercept and m is the slope. m is the slope because if you increase x by 1, the value y increases by m, and if you increase x by 1 again, the y-value will increase by the value of m, because it's being multiplied. b is the y-intercept since the y-intercept is when x=0 so mx will become m(0) which is just 0 leaving b by it self. In this case you have y=1/5x so if you were to start with 0 as x the value of y is 0. Now increase it by 1 so x becomes 1, the value of y becomes 1/5x, now increase it by 1 again so x becomes 2, the value of y is 2/5x, so as you can see the function is just increasing by 1/5 so that's the slope, so essentially whatever the coefficient of x is (the number in front of the variable x), is the slope
-------------------------------------------------------------------------------------------------------------
Answer: [tex]\textsf{Slope = 1/5}[/tex]
-------------------------------------------------------------------------------------------------------------
Given: [tex]\textsf{y = 1/5x}[/tex]
Find: [tex]\textsf{The slope of the line}[/tex]
Solution: In order to determine the slope of the line we need to see how the slope-intercept form compares to this expressions. The slope-intercept form is y = mx + b where m is the slope and b is the y-intercept. In this case we have no y-intercept therefore we do not have a b. However, our slope is equal to 1/5 as it fits perfectly with the form that was provided.
Someone please help me out
Answer:
A. y<-1/5x+1
Step-by-step explanation:
First, find the slope of the line
delta y / delta x = slope (delta means "change in", so delta y would the the change in y)
the change in y is 1, and the change in x is -5, so the slope is -1/5
we now know that the equation of the line is
y=-1/5x+1
The answer can't be c or d, because the line is dotted and not solid (solid lines signify ≥ or ≤, and dotted > and <)
To test if it is > or <, we can plug in some numbers to see if the equation is true
Right now, we have:
y[?]-1/5x+1, where "[?]" is either > or <
we see that the point 0,0 is a solution, since it is in the shaded region of the graph, because of this, we know that if we plug x=0 and y=0 into the equation, it must be true
plug in:
0[?]-(1/5)*0+1
0[?]1
clearly, [?] should be <, as 0<1
so, now that we know [?], we can replace it in our equation
y<-1/5x+1 , or "A"
A couple quick algebra 1 questions for 50 points!
Only answer if you know the answer to all of them, Tysm!
#1
No
#2
We can see f(1) has 3 values so it's not a function as it's failed in vertical line test
#3
f(10) has two values -2 and 11
So not a function
#4
As per definition of function
every domain has an unique rangeSo it's not a function
Given: S is the midpoint of QR, QR¯⊥PS¯ and ∠RSP and ∠QSP are right angles.
Prove: PR≅PQ
ΔRSP ≅ ΔQSP by SAS. Therefore, PR ≅ PQ by CPCTC theorem.
What is the CPCTC Theorem?If two triangles are congruent, the CPCTC theorem states that all corresponding parts of the two triangles would also be congruent to each other.
Since S is the midpoint of QR, therefore, RS ≅ QS (one pair of congruent sides)
∠RSP ≅ ∠QSP [right angles] (one pair of congruent included angles)
SP ≅ SP based on the reflexive property (one pair of congruent sides)
Therefore, ΔRSP ≅ ΔQSP by SAS.
Conclusively, PR ≅ PQ by CPCTC theorem.
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A number is chosen at random from 1 to 25. Find the probability of selecting an even number or multiple of 13
Probability helps us to know the chances of an event occurring. The probability of selecting an even number or multiple of 13 is 13/25.
What is Probability?Probability helps us to know the chances of an event occurring.
[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]
Number of even numbers between 1 to 25 = 22
Number of multiple of 13 between 1 to 25 = 1
The probability of selecting an even number or multiple of 13 is,
Probability = (12+1)/25 = 13/25
Hence, The probability of selecting an even number or multiple of 13 is 13/25.
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Write a piecewise-defined step function f(x) that has the following characteristics:
f(x) has more than one x intercept.
The domain of f(x) is the real numbers.
The range of f(x) consists of four unique integers.
Here use general math mind
F(x) has more than one x inetercept .
We shall take one quadratic function in which will give 2 intercepts(Real)Domain is for real numbers
Four unique numbers?
Add 4 constants for 4 unique definations and that shouldn't fall under quadratic regionLets see
[tex]\sf f(x)=\begin{cases}\sf (x+2)²,x\neq \left\{0,-1,1,2,3\right\}\\ \sf 0,x=0\\ \sf 1,x=-1\\ \sf 9,x=1\\ \sf 16,x=4\\ \sf 25,x=5\end{cases}[/tex]
Has 2 x interceptsFor -2
y=(0)²=0(-2,0)For 0 it's (0,0)
And for extra ,it's discontinuous on x=0
What is f(-3) for the
function f(a)=-2a?-5a+4?
Answer:
13
Step-by-step explanation:
f(-3)=2(-3)-5(-3)+4. = -6+15+4= 13. f(a)=13
Jorge worked 6 hours of overtime this week but has decided to take time off instead of overtime pay. How many hours will Jorge receive in time off from work
Jorge will receive 9 hours in time off from work.
How many hours will Jorge get to take time off?
It is given that, Jorge has done overtime for 6 hours in this week. As per the Fair Labor Standards Act, for 6 hours of overtime work, he must be paid one and a half times the pay he gets per hour.
Instead of receiving an overtime pay for working 6 hours extra, Jorge decides to receive paid leaves from work, that is, he will get one and a half of the total hours for which he worked overtime.
As a result, the time off he receives from work = [tex]1\frac{1}{2} (6)[/tex] hours
[tex]=\frac{3}{2}(6) = 9 hours[/tex]
Thus, Jorge gets 9 hours in time off from work in return. The time that he earns for the overtime is equivalent to the pay he was supposed to receive for the overtime work.
What is Fair Labor Standards Act?
The Fair Labor Standards Act (FLSA) specifies standards for minimum wage, over-time compensation, recordkeeping, and youth employment that are applicable to workers in the private sector and in federal, state, and municipal governments.
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Maya invests $3,000 into a brokerage account
which earns 10% per year. In 15 years, how
much will Maya's investment be worth if
interest is compounded monthly? Round to the
nearest dollar.
Answer: $13361.76
Step-by-step explanation:
Amount = initial balance(1 + annual rate/periods per year)^(periods per year*years)
A = 3000(1+0.1/12)^12*15
A = 3000(1.0083)^180
A = 3000(4.4275)
A = 13361.76
Hope this helps!
Please help soon! I have a trig question...
The value of x will be 33 units approximately. Thus, option A is correct.
What are trigonometric identities?Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.
We need to find the value of x
so first
Tan 60 = Perpendicular / 11√6
Perpendicular = 1.732 (11√6)
Perpendicular = 46.66
Then,
Sin 45 = Perpendicular / x
Sin 45 = 46.66/ x
x = 33.00
So, the value of x will be 33 units approximately.
Thus, option A is correct.
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An inverse variation function has a k value of 8. Which ordered pair is on the graph of the function?
The points on the graph of the inverse variation are of the form:
(x, 8/x)
Which ordered pairs are on the graph of the function?An inverse variation function is written as:
y = k/x.
Here we know that k = 8.
y = 8/x
Then the points (x, y) on the graph of the function are of the form:
(x, 8/x).
So evaluating in different values of x, we can get different points on the graph:
if x = 1, the point is (1, 8)if x = 2, the point is (2, 4)if x = 3, the point is (3, 8/3)if x = 4, the point is (4, 2)And so on.
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if there are 22 successful outcomes in a sample with a size of 50, what is the sample proportion?
A(N) _______________ questions require respondents to select one or more response options from a set of predetermined choices. Group of answer choices
Closed-end
You can answer "yes" or "no" to the completed question. Or, the number of answers is limited (eg A, B, C, or all of the above). Closed-end questions are often suitable for voting, as response rates are high when users don't have to type too much.
Closed-end questions are defined as question types that require respondents to choose from a specific set of predefined answers. B. Between "yes/no" or fixed multiple-choice questions. In a typical scenario, closed-end questions are used to collect quantitative data from respondents.
An indefinite definition represents a situation or question with a predetermined number of results. An example of a closed ending is the question "Do you need help?" This usually has only four answers-yes, no, maybe, or not.
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What is the following product? sqrt10 x sqrt10
The product of the mathematical expression √10 · √10 is 10 option first 10 is correct.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
We have given a mathematical expression:
= √10 · √10
As we know,
√a² = a
or
√a×√a = a
By applying the above rule:
= √10×√10
= √10²
= 10
Thus, the product of the mathematical expression √10 · √10 is 10 option first 10 is correct.
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At a certain fast-food restaurant, 56% of customers order a chicken sandwich, 43% of customers order french fries, and 30% of customers order both a chicken sandwich and french fries. What is the probability that a randomly selected customer will order a chicken sandwich or french fries (or both items)?
The probability that a randomly selected customer will order a chicken sandwich or french fries is 36%
How to determine the probability?
The given parameters are:
P(Chicken) = 56%
P(Sandwich) = 43%
P(Both) = 30%
The required probability is:
P = P(Chicken) + P(Sandwich) - P(Both)
This gives
P = 56% + 43% - 30%
Evaluate
P = 36%
Hence, the probability that a randomly selected customer will order a chicken sandwich or french fries is 36%
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Hey, guys help me answer!
Hello and Good Morning/Afternoon
Let's take this problem step by step.
[tex]5=\frac{1}{3}(5x-15)\\ 5=\frac{5}{3}x-5\\ 5+5= \frac{5}{3}x-5 +5\\10=\frac{5}{3}x\\ 10 * 3 = 3* \frac{5}{3}x\\30=5x\\\frac{30}{5} =\frac{5}{5}x\\ 6=x\\x=6[/tex]
What did we do in this problem
we ensured that both sides remained equally balanced in valuetook everything step-by-step to make sure that there were no mistakesto check it, we can plug it back into the original equation to see if it works[tex]5=\frac{1}{3}(5(6)-15)\\ 5=\frac{1}{3} (30-15)\\5=\frac{1}{3}*15\\ 5=5 \checkmark\\[/tex]
Answer: x = 6
Hope that helps!
#LearnwithBrainly
Solution :-
⇒ 5 = 1/3 (5x - 15)
⇒ 5 × 3 = 1 (5x - 15)
⇒ 15 = 1 (5x - 15)
⇒ 15 = 1 × (5x - 15)
⇒ 15 = 5x - 15
⇒ 5x = 15 + 15
⇒ 5x = 30
⇒ x = 30 / 5
⇒ x = 6
Find the area of a right triangle with hypotenuse 15 in. and altitude 12 in. (to the hypotenuse).
The area of a right-angle triangle is half the product of the base of the triangle and the height of the triangle. The area of the triangle is 90 units².
What is the area of a right-angle Triangle?The area of a right-angle triangle is half the product of the base of the triangle and the height of the triangle.
[tex]\rm{ Area \triangle = \dfrac{1}{2} \times base \times height\\[/tex]
For the given triangle if the hypotenuse is assumed as the base, and the altitude is assumed as the height of the triangle, then the area of the triangle will be,
Area of the triangle = 0.5 × 15 units × 12units
= 90 units²
Hence, the area of the triangle is 90 units².
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Click to review the online content. Then answer the question(s) below, using complete sentences. Scroll down to view additional questions.
Online Content: Site 1
What are some steps you can take to protect yourself from predatory lenders?
Answer:
How To Protect Against Predatory Lending
1) Consider alternatives to borrowing
2) Borrow federal first
3) Check your credit before applying for private loans
4) Shop around when looking for a loan
Explanation:
Definition: "Imposing unfair and abusive loan terms on borrowers." - FDIC
Solve for p and k. For 50 POINTS!!
Answer:
P = 55°
K = 27°
Step-by-step explanation:
55° + 98° + c = 180°
153° + c = 180°
c = 27°
since C is opposite K, K = 27°
Since 55° is opposite P, P = 55°
We can check this by adding up the values of P, K, and 98
27°+55°+98° = 180°
136mm into cm and mm
Step-by-step explanation:
13.6 is the answer because 1cm is 10 cm
Answer:
13.6 cm
Is the second requested unit mm? The value is already in mm.
Step-by-step explanation:
Use conversion factors for the metric system.
By definition: 1cm = 10mm
We can write this as a conversion factor. Either:
1) 1cm/10mm, or
2) 10mm/1cm
We are given 136 mm. Convert that by using either conversion factor.
(136mm)*(1cm/10mm) = 13.6 cm Note how the mm unit cancels.
To use the other conversion factor, do a division:
(136mm)/(10mm/1cm) = 13.6 cm
====
136 mm is already 136 mm.
solve x^3 = 13. use a radical sign in your answer
⊱________________________________________________________⊰
Answer:
x=∛13Step-by-step explanation:
Take the cube root of both sides. That way, you'll get rid of the ³ next to x and leave x by itself
[tex]\large\boldsymbol{\rm{x=\sqrt[3]{13} }}[/tex]
done !!
⊰________________________________________________________⊱
Cαlligrαρɦγ32 less than 3/7 of a number is 11/35 of that number. Find the number.
Answer:
Step-by-step explanation:
Let "a number" be x.
"3/7 of a number" means (3/7)x
"32 less" means - 32
Thus, "32 less than 3/7 of a number" means (3/7)x -32
"is 11/35 of that number" means = (11/35)x
Put these together and we get:
(3/7)x -32 = (11/35)x
(3/7)x - (11/35)x = 32 Rearrang to get the x on one side
We need to change "(3/7)x - (11/35)" so that the two terms have a common denominator.
If we multiply the first term by (5/5) [which is equal to 1], we get:
(5/5)(3/7)x or
(15/35)x
We can now write:
(15/35)x - (11/35)x = 32
(4/35)x = 32
Multiply both sides by (35/4)
(35/4)(4/35)x = (35/4)(32)
x = (35)(8)
x = 280
Which of the following is the equation for the graph shown
Answer:
I don't see a list of equations. See the attached image for an equation that works well.
Step-by-step explanation:
Please help!!!!! I’ve been stuck for like hours
[tex]10^2 + b^2=15^2\\\\100+b^2=225\\\\b^2=125\\\\b =\sqrt{125}\\\\b \approx \boxed{11.2}[/tex]
A pencil cost $1.20 and a pen cost $2.90. Jasmiah bought an equal number of such pencils and pens. She spent $32.30 more on the pens than on the pencils. How many pencils and pens did she buy altogether?
Answer:
38
Step-by-step explanation:
Let x be the number of pencils bought.
Let y be the number of pens bought.
Given information from the question:
x = y - equation 1
2.9y - 1.2x = 32.30 - equation 2
From here we can use the substitution method in solving simultaneous equations to find x and y. We will substitute equation 1 into equation 2.
2.9y - 1.2y = 32.30
1.7y = 32.30
y = [tex]\frac{32.3}{1.7} \\= 19[/tex]
Now since we know number of pens = number of pencils,
x = 19
Total Pencils and Pens bought = x + y = 19 + 19 = 38
Answer:
19
Step-by-step explanation:
hope it helps.good day.
Would mean a lot if you could help me out don’t answer it if you don’t know the answer
Answer: x = 15
Step-by-step explanation:
Hi!
These are supplementary angles, which means they both add up to 180°
Therefore,
9x+10 + 1x + 20 = 180
to solve, combine like terms
10x + 30 = 180
Then subtract 30 from both sides
10x = 150
now divide 10 from both sides leaving x by itself
x = 15
Hope this helps and have a nice day!
Answer: x = 15
Step-by-step explanation:
Hi!
These are supplementary angles, which means they both add up to 180°
Therefore,
9x+10 + 1x + 20 = 180
to solve, combine like terms
10x + 30 = 180
Then subtract 30 from both sides
10x = 150
now divide 10 from both sides leaving x by itself
x = 15
Hope this helps and have a nice day!
Please assist me with this question
Answer:
? = 45
Step-by-step explanation:
the inner and outer triangles are similar ( AA postulate )
Then the ratios of corresponding sides are in proportion, that is
[tex]\frac{56}{56+24}[/tex] = [tex]\frac{105}{105+?}[/tex] , that is
[tex]\frac{56}{80}[/tex] = [tex]\frac{105}{105+?}[/tex] ( divide numerator/denominator by 8 to simplify left side )
[tex]\frac{7}{10}[/tex] = [tex]\frac{105}{105+?}[/tex] ( cross- multiply )
7(105 + ? ) = 1050 ← distribute parenthesis on left side
735 + 7? = 1050 ( subtract 735 from both sides )
7? = 315 ( divide both sides by 7 )
? = 45
PLEASE HELPPP ASAPP
I WILL MAKE YOU BRAINLIEST
The transformation that's illustrated in the diagram is translation.
What is transformation?It should be noted that transformation simply means the manipulation of that moves a shape from a space to another.
In this case, the transformation that's illustrated in the diagram is translation. This is the sliding of try shape across certain number of spaces.
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