Answer:
48
Step-by-step explanation:
5 x^2 +x
Let x = 3
5 * 3^2 +3
Exponents first
5 * 9+3
Multiply next
45+3
48
Answer:
33
Step-by-step explanation:
If x=3, we have to plug it into 5x(2)+x.
1: Plug it into the equation
(5(3))(2)+3
2: Mutiply it all out
15(2)+3
30+3
33
Hope this helped! :)
On a coordinate plane, 2 quadrilaterals are shown. Quadrilateral Q R S T has points (negative 1, 0), (5, 0), (3.5, negative 6) and (negative 2.5, negative 6). Quadrilateral Q prime R prime S prime T prime has points (negative 1, 2), (1, 2), (0.5, 0), and (negative 1.5, 0). Quadrilateral QRST is dilated and translated to form similar figure Q'R'S'T'. What is the scale factor for the dilation?
Answer:
[tex]\dfrac{1}{3}[/tex].
Step-by-step explanation:
In quadrilateral QRST, Q(-1,0), R(5,0), S(3.5,-6), T(-2.5,-6).
In quadrilateral Q'R'S'T', Q'(-1,2), R'(1,2), S'(0.5,0), T'(-1.5,0).
Distance formula:
[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Using distance formula , we get
[tex]QR=\sqrt{(5-(-1))^2+(0-0)^2}=\sqrt{6^2}=6[/tex]
[tex]Q'R'=\sqrt{(1-(-1))^2+(2-2)^2}=\sqrt{2^2}=2[/tex]
Now,
[tex]\text{Scale factor}=\dfrac{Q'R'}{QR}[/tex]
[tex]\text{Scale factor}=\dfrac{2}{6}[/tex]
[tex]\text{Scale factor}=\dfrac{1}{3}[/tex]
Therefore the scale factor is [tex]\dfrac{1}{3}[/tex].
The given transformation of quadrilateral QRST to quadrilateral Q'R'S'T'
are a dilation and a translation, therefore, QRST is similar to Q'R'S'T'.
[tex]\mathrm{The \ scale \ factor \ of \ the \ dilation\ between \ QRST \ and \ Q'R'S'T' \ is} \ \dfrac{1}{3}[/tex]
Reasons:
The vertices of the quadrilateral are;
Quadrilateral QRST
Q(-1, 0)
R(5, 0)
S(3.5, -6)
T(-1, 2)
Quadrilateral Q'R'S'T'
Q'(-1, 2)
R'(1, 2)
S'(0.5, 0)
T'(-1.5, 0)
The given transformation that gives quadrilateral Q'R'S'T' from quadrilateral QRST are a dilation and a translation.
Required:
The scale factor of the dilation
Solution:
[tex]\mathrm{The \ scale \ factor \ of \ the \ dilation} = \dfrac{\mathrm{Length \ of \ \overline{Q'R'} }}{\mathrm{Length \ of \ \overline{QR}} }[/tex]
Length of [tex]\overline{Q'R'}} }[/tex] = 1 - (-1) = 2
Length of [tex]\overline{QR}} }[/tex] = 5 - (-1) = 6
Therefore;
[tex]\mathrm{The \ scale \ factor \ of \ the \ dilation} = \dfrac{2}{6} = \dfrac{1}{3}[/tex]
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You want to design a survey to determine how much money people are willing to spend
on concert tickets. Which of the following methods would be most practical and have
the least bias?
Choose 4 neighborhoods at random and poll every home in those
neighborhoods.
Poll 10% of the homes in the area chosen at random.
Poll the first 100 people who enter the mall.
Poll everyone in the area.
Answer:
The correct option is;
Choosing 4 neighborhoods at random and poll every home in those neighborhoods
Step-by-step explanation:
Given that the survey relate to how much money people are willing to spend on on concert tickets with the goal of being practical and unbiased, we have;
Required sampling = Random Sampling
The preferable type of random sampling is either;
1) Simple random sampling
Sampling a given percentage of the homes in the area randomly
2) Clustered random sampling
Completely polling entire population of randomly selected area
Given the practicability of sampling concert goers, since people may have different interests, a better representative sample will be to perform the clustered random sampling approach by choosing 4 neighborhoods at random and poll every home in those neighborhoods.
by what rational no. should -7/85 be multiplied to obtain 1/17?
Answer:
-1/10115
Step-by-step explanation:
Let x be the rational number.
-7/85 × x = 1/17
x = 1/17 ÷ -7/85
x = 1/(17 × -7 × 85)
x = 1/(-10115)
x = -1/10115
The rational number is -1/10115.
Answer:
- 5/7
Step-by-step explanation:
-7/85*x= 1/17
x= 1/17 ÷ (-7/85)
x= - 1/17 × 85/7
x= - 5/7
Find the value of x in this figure
A. 120
B. 105
C. 115
D. 110
Answer:
A. 120
Step-by-step explanation:
To find the measure of x, you would need to subtract the major arc minus the minor arc. A circle is 360 degrees so, 360-60=300. That is the major arc. Now, we use the formula, x=1/2(major-minor). When we plug the information in, we get 1/2(300-60)...1/2(240)...x=120.
Hence,
the correct option would be 120.
Hope this helps!!! PLZ MARK BRAINLIEST!!!
Line l has a slope of...
Hey there! :)
Answer:
Option C.
Step-by-step explanation:
A perpendicular line to 2/3 will be the reciprocal and negative of this fraction. Therefore:
Slope of perpendicular line = -3/2.
Remember, the equation for solving for the slope is:
[tex]m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
We must find points that when plugged into this equation, equal to -3/2.
Plugging in the points in option A:
[tex]\frac{2}{3} \neq \frac{-3}{2}[/tex]
Option B:
[tex]\frac{3}{4} \neq \frac{-3}{2}[/tex]
Option C: This is the correct answer.
[tex]\frac{-3}{2} = \frac{-3}{2}[/tex]
Option D:
[tex]\frac{2}{10}\neq \frac{-3}{2}[/tex]
In a triangle ABC, CD is an altitude, such that AD=BC. Find AC, if AB=3 cm, and CD= square root 2 .
Answer:
AC=2.06cm
Step-by-step explanation:
AC^2=AD^2+CD^2
AC^2=1.5^2+1.4142^2
AC^2=2.25+2=4.25
....
[tex] \sqrt{ac {}^{2} } [/tex]
=
[tex] \sqrt{4.25 = } 2.06[/tex]
Answer:
AC=2.06 cm
Step-by-step explanation:
Find an equivalent function to f(x) = 5(3)^3x. (5 points)
Answer:
[tex]B. f(x) = 5(27)^x[/tex]
Step-by-step explanation:
Well lets graph it first,
Look at the image below ↓
By looking at the image we can tell that answer choice [tex]B. f(x) = 5(27)^x[/tex].
Thus,
answer choice B is correct.
Hope this helps :)
Answer:
The correct result would be f(x) = 5(27)x.
Step-by-step explanation:
If you would like to find an equivalent function to f(x) = 5(3)^(3x), you can do this using the following steps:
f(x) = 5(3)^(3x) = 5(3^(3x)) = 5(27)^x = 5(27)x
hope this helped :)
A researcher posts a newspaper advertisement offering 520 in exchange for participation in a short study. The researcher accepts the first five people who respond to the advertisement which
of the following statements is true about the sample?
It is not a valid sample because it is only a short study
It is a valid sample because money was offered to participants
It is a valid sample because the first five people were selected to participate
It is not a valid sample because it is not a random sample of the population
Answer:
It's a valid sample because the first five people were selected to participate.
Step-by-step explanation:
True because random people who saw the advertisement responded. By chance, not every person who saw the advertisement answered, therefore it was random, but it would be more random if he decided to reject the second, fourth, sixth, and eighth person, and only the first, third, fifth, seventh, and ninth were chosen.
Find the volume of a pyramid with a square base, where the area of the base is
14.1 in' and the height of the pyramid is 11.1 in. Round your answer to the nearest
tenth of a cubic inch.
I think its 57.17 or about 52.2cubic inch
Use the tables below to find (p - 9)(2).
Answer:
5
Step-by-step explanation:
p(2) - q(2)
3 - (-2)
3 + 2
= 5
Lines L and M are parallel.
3/4
2 5
16
38° 7
-L
<-M
:
Find : m_1
Enter the number that
belongs in the green box.
[? ? ]
Enter
A large college wishes to determine the average SAT scores for students who apply from New York. They surveyed 95 students from New York and discovered a mean SAT score of 1509. Which of the statements below represent the statistic and the population, respectively, of the survey?
I. The mean SAT score of all students from New York
II. The mean SAT score of 95 students from New York
III. The 95 students who apply to the college from New York
IV. All students who apply to the college from New York
Statements I and II
Statements II and III
Statements I and IV
Statements II and IV
Answer:
statements 2 and 3
B
Step-by-step explanation:
BD is a diameter of circle Q. If M_ACB=30°, what is M<DBA?
A. 30°
B. 50°
C. 60°
D. 70°
E. 90°
HELPPPPP NEEDED FIRST GETS BRAINLLEST !!!! Kobe, Amari, and DJ raised $125.45 for their football team. Kobe collected $24.55 more than Amari, and DJ collected $15.60 less than Kobe. If x = the amount raised by Amari, choose the expressions that represent the amount each other player raised. x + 24.55 x + 8.95 2x – 15.60 3x + 24.55
Answer:
Kobe raised x + 24.55
Amari raised x
DJ raised 2x – 15.60
The angles of a quadrilateral are in the ratio of 2:6:9:13
Find all the angles of the quadrilateral
Answer:
24° , 72° , 108° , 156°Step-by-step explanation:
Let the angles be 2x , 6x , 9x , 13x
We know that the sum of quadrilateral is 360°
Now,
[tex]2x + 6x + 9x + 13x = 360[/tex]
Calculate the sum
[tex]30x = 360[/tex]
Divide both sides of the equation by 30
[tex] \frac{30x}{30} = \frac{360}{30} [/tex]
Calculate
[tex]x = 12[/tex]
Replacing the value,
2x = 2 * 12 = 24°
6x = 6 * 12 = 72°
9x = 9 * 12 = 108°
13x = 13 * 12 = 156°
So, the angles are 24° , 72° , 108° , 156°
Hope this helps...
Good luck on your assignment...
Answer:
Below in bold.
Step-by-step explanation:
2+6+9+13 = 30.
Now there are 360 degrees in a a quadrilateral.
So the value of the shortest angle = 2/30 * 360
= 1/15 * 360
= 24 degrees.
In the same way the value of the other 3 angles is:
6/30 * 360, 9/30 * 360 and 13/30 * 360
= 72, 108 and 156 degrees.
Solve 3n - 5p + 2n = 10p for n
Answers above
Answer:
D
Step-by-step explanation:
3n - 5p + 2n = 10p
Add like terms.
5n - 5p = 10p
Add 5p to both sides.
5n = 10p + 5p
5n = 15p
Divide both sides by 5.
n = 15/5p
n = 3p
The solution of expression for n is,
⇒ n = 3p
We have to given that,
An expression to solve,
⇒ 3n - 5p + 2n = 10p
Now, We can solve the expression for n as,
⇒ 3n - 5p + 2n = 10p
Combine like terms,
⇒ 3n + 2n = 10p + 5p
⇒ 5n = 15p
Divide by 5 both side,
⇒ n = 15p/5
⇒ n = 3p
Therefore, The correct option is,
D. n = 3p
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2. (07.02 MC)
An equation is shown below:
4(2x – 5) = 4
Part A: How many solutions does this equation have? (4 points)
Part B: What are the solutions to this equation? Show your work. (6 points)
Answer:
A. One solution.
B. x = 3.
Step-by-step explanation:
4(2x - 5) = 4
4*2x + 4*-5 = 4
8x - 20 = 4
8x = 24
x = 3.
The given equation has one solution and the solution to the given equation is 3
Solution to linear equationLinear equation has a leading degree of 1. Given the equation
4(2x - 5) = 4
Divide both sides by 4
4(2x-5)/4 = 4/4
2x - 5 = 1
Add 5 to both sides
2x = 1 + 5
2x = 6
x = 3
Hence the given equation has one solution and the solution to the given equation is 3
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A lottery ticket costs $5. You pick 3 two-digit numbers (anything from 00 to 99) in order. If you match the first number only, you win $200. If you match the first two numbers and not the third, you win $5000. If you match all three numbers, you win $100,000. In two or more complete sentences, explain whether or not the game is fair. In your explanation, include all necessary calculations.
Answer:
00 to 99 are 100 numbers.
If you match the first number only, you win $200. The Probability for this is 1/100.
If you match the first two numbers and not the third, you win $5000. The Probability for this is 1/50.
If you match all three numbers, you win $100,000. The Probability for this is 3/100.
And, If you are a customer, You will think is fair for you.
But if you are the lottery tickets company, you will think is not fair for you.
It depends who you are.
the game isn't fair because 100,000/3=3333 1/3, so each number should be worth $3333.3333...... dollars but you can't really give 1/3 dollars so the game is impossible to be fair. Also, if you match the first two numbers you apparently get $5000. That's also not fair because each number is worth $50 dollars more than if you get the first number matched. So, the game isn't fair but it will be pretty much impossible to be fair.
The probability of picking a quarter from a jar of coins is 0.125. If Noah has 250 coins in the jar, about how many quarters are in the jar?
Answer:
31.25
Step-by-step explanation:
There are about 31 quarters in a the jar so if you need to round do accordingly! Have a good day
Answer:
31 quarters
Step-by-step explanation:
Have an equation set
Then you solve the equation you get 31.25
Round the number since you can't have 31.25 quarters it just doesn't make sense.
Round it to 31
Therefore your answer is 31 quarters
Hope this Helps!
Please help with this
Answer:
5/2
Step-by-step explanation:
We take the ratio of a side of ABC over the same side on DEF
AB/ DE
35/14
Divide top and bottom by 7
5/2
help please heeeeeeeeeeeeeeeeeeeeeeeeeeelp
Answer:
8.29166
Step-by-step explanation:
3.5_0.375+5.166666
Answer:
[tex]8 \frac{7}{24} [/tex]
Step-by-step explanation:
Please see attached picture for full solution.
The total amount of water a tank can hold is 14 and one-half gallons. Raul wants to find out how many 1 and one-fourth-gallon buckets of water can be used to fill the tank. Which expressions could be used to represent this scenario? Select two options.. StartFraction 29 over 2 EndFraction divided by StartFraction 5 over 4 EndFraction StartFraction 29 over 2 EndFraction times StartFraction 5 over 4 EndFraction StartFraction 29 over 2 EndFraction times StartFraction 4 over 5 EndFraction StartFraction 2 over 29 EndFraction times StartFraction 5 over 4 EndFraction StartFraction 29 over 2 EndFraction divided by StartFraction 4 over 5 EndFraction
Answer:
Water a tank can hold = 14 1/2 = 29/2
Volume of bucket 1 1/4 = 5/4
The expresson can be
29/2 / 5/4
No. of buckets used = 29/2 x 4/5
Answer:
b and e
Step-by-step explanation:
P(2, 2), Q(1, -3), R(-4, 2), S(-3, 7) Using the information above, answer the following questions. Find the length of RS Find the length of SP Find the length of PQ Find the length of RQ Use this information to determine if the quadrilateral a parallelogram.
Answer:
Yes the Quadrilateral is a Parallelogram.
Step-by-step explanation:
A parallelogram can be defined as a quadrilateral i.e a geometric shape with four sides that has opposite sides parallel and equal in length.
From the question, we are given the following points
P(2, 2), Q(1, -3), R(-4, 2), S(-3, 7)
Given points: (x1, y1) and (x2, y2)
The formula would be
√(x2 - x1)² +(y2 - y1)²
a) P(2, 2), Q(1, -3)
Length PQ = √(1 - 2)² +(-3 - 2)² = √-1² + -5² = √26
b) R(-4, 2), S(-3, 7)
Length RS = √(-3 - (-4))² + (7 - 2) ² = √ 1² + 5² = √26
c) R(-4, 2), Q(1, -3)
Length RQ = √(1 - (-4))² + (-3 - 2)² = √5² + 5² = √(25 + 25) = √50
d) S(-3, 7), P(2, 2)
Length SP = √(2 - (-3))² + (2 - 7)² = √5² +(-5)² = √(25 + 25) = √50
From the above solution, we can see that
Length PQ = Length RS
Length RQ = Length SP
This means the opposite sides are parallel and equal in length, hence it is a Parallelogram.
Which number line represents the solutions to |-2x| = 4?
Answer:
Step-by-step explanation:
Your answer is c
the absolute value of -2x would be positive 2x making x =2 and -2
- 2x
f(x)= x +4,
4x - 7
XS-10
- 10
X2
20. Use the piecewise function to evaluate points f(-1), f(2), and f(12).
O A. f(-1) = 3, f(2) = 1, and f(12) = 41
B. f(-1) = 3, f(2) = 6, and f(12) = 41
O C. f(-1) = 2. f(2) = 1, and |(12) = 41
D. f(-1) = 2. f(2) = 6, and f(12) = 41
Answer:
[tex]f(-1) = 3[/tex]
[tex]f(2) = 6[/tex]
[tex]f(12) = 41[/tex]
Step-by-step explanation:
Given
The piece wise function can be split to:-
[tex]f(x) = -2x[/tex] [tex]x\leq -10[/tex]
[tex]f(x) = x + 4[/tex] [tex]-10<x\leq 2[/tex]
[tex]f(x) = 4x - 7[/tex] [tex]x> 2[/tex]
Required
f(-1), f(2) and f(12)
To solve for each of these functions, we first check the range they fall into, then we execute the corresponding function
Solving f(-1)
-1 is within the range of [tex]-10<x\leq 2[/tex]
Hence; we make use of [tex]f(x) = x + 4[/tex]
Substitute -1 for x
[tex]f(-1) = -1 + 4[/tex]
[tex]f(-1) = 3[/tex]
Solving f(2)
2 is within the range of [tex]-10<x\leq 2[/tex]
Hence; we make use of [tex]f(x) = x + 4[/tex]
Substitute 2 for x
[tex]f(2) = 2 + 4[/tex]
[tex]f(2) = 6[/tex]
Solving f(12)
12 is within the range of [tex]x> 2[/tex]
Hence; we make use of [tex]f(x) = 4x - 7[/tex]
Substitute 12 for x
[tex]f(12) = 4(12) - 7[/tex]
[tex]f(12) = 48 - 7[/tex]
[tex]f(12) = 41[/tex]
Which document do you need to have on hand when preparing to file your tax return?
O A.
auto insurance card
OB.
birth certificate
OČ.
driver's license
OD.
Form W-2
O E.
Form W-4
Answer:
w-2
Step-by-step explanation:
To file your return, you'll need the following on hand: Your W-2: This form will come from your company and list not only your salary for the year but the amount of taxes withheld along the way. You're required to file your W-2 along with your taxes, so if you're a salaried employee, this form is non-negotiable.
The document you need to have on hand when preparing to file your tax return is Form W-2. The correct option is D.
What is tax return?A tax return is a document filed with the tax authorities by individuals or businesses to report their income, expenses, and other relevant financial information in order to calculate their tax liability or refund.
It is usually filed once a year, and the information on it is used to determine whether the taxpayer owes additional taxes or is eligible for a refund.
Form W-2 is a form that an employer provides to an employee at the end of the year that shows the employee's total earnings as well as the amount of taxes withheld from those earnings.
It is a necessary document for accurately preparing and filing an individual's tax return.
Thus, the correct option is D.
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Find the measures of the angles of the ∆ABC if m∠A : m∠B : m∠C = 2:3:4.
Answer:
m∠A = 2x = 2*20 = 40
m∠B = 3x = 3*20 = 60
m∠C= 4x = = 4*20 = 80
Step-by-step explanation:
we know sum of angles of triangle is 180 degrees
given
m∠A : m∠B : m∠C = 2:3:4
let the angle be
m∠A = 2x
m∠B = 3x
m∠C= 4x
we have taken such angle by applying rule of indices where
a:b:c = ax:bx:cx
which means that if we multiply all term of ratio by same number ratio remains same
thus,
2x+3x+4x = 180
9x = 180
x = 180/9 = 20
Thus,
m∠A = 2x = 2*20 = 40
m∠B = 3x = 3*20 = 60
m∠C= 4x = = 4*20 = 80
Pls help me I need the help!
Answer:
1a) 15, 7, x+5
1b) 7
2a) 18, 3r
Step-by-step explanation:
1a) Since Claire is 5 years older, she will always be her cousin's age plus 5
1b) Claire is 5 years older, so Claire's cousin is 5 years younger. So, Claire's cousin is Claire's age minus 5
2a) Diego will have the amount of Han's books times 3
Answer:
Clare Questions:
Cousin: 10, Clare: 15
Cousin: 2, Clare: 7
Cousin: x, Clare: x + 5
Cousin: 7, Clare: 12
Diego Questions:
Han: 6, Diego: 18
Han: can't tell if it is a 0 or n, Diego: 0 or 3n, respectively
Step-by-step explanation:
Since Clare is older than her cousin by 5, they will both age at the same rate, thus she will always be 5 years older.
example: if her cousin is 10, Clare will be 10 + 5 years older, therefore being 15.
Since DIego has 3 times as many books than Hans, it multiplies by 3.
example: if Han has 6 books, multiply 6 by 3 and you get Diegos amount, 18.
When
4a- a x 3a + 7a
is simplified it is equivalent to
Answer:
30a
Step-by-step explanation:
4a-a x 3a +7a
3a x 10a
30a
The given expression is:
[tex]4a- a\times 3a + 7a[/tex]By applying multiplication, we get
→ [tex]4a - 3a^2+7a[/tex]
By applying addition, we get
→ [tex]-3a^2+11a[/tex]
By taking "a" as common, we get
→ [tex]a (-3a+11)[/tex]
Thus the answer above is right.
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Which choice shows the image of quadrilateral WXYZ after a reflection over the y-axis followed by a translation down 2 units?
Answer:
Choices are not provided, but you can answer the question as follows: take the coordinates of quadrilateral WXYZ and apply:
W(xW, yW) -> W'(-xW, yW-2)
X(xX, yX) -> X'(-xX, yX-2)
Y(xY, yY) -> Y'(-xY, yY-2)
Z(xZ, yZ) -> Z'(-xZ, yZ-2)
For example, if point W is located at (1, 1), W' would be located at (-1, -1)
Step-by-step explanation:
Reflection over the y-axis transforms point (x, y) into (-x, y)
Translation down 2 units transforms point (x, y) into (x, y-2)
Answer:
The first choice hope this helps :)
Step-by-step explanation: