Distribute -3\left(7x^{2}+3x\right)
By using distributive property, [tex]-3\left(7x^{2}+3x\right) = -21x^{2} -9x[/tex]
This property states that multiplying the total of two or more addends by a number will produce the same outcome as multiplying each addend by the number separately and then adding the results together.
In order to quickly solve equations, a number is distributed across the integers in the brackets. When using the distributive property of multiplication, for instance, to resolve the expression 4(2 + 4), we would do so as follows: 4(2 + 4) = (4 × 2) + (4 × 4) = 8 + 16 = 24.
We have,
[tex]-3\left(7x^{2}+3x\right)[/tex]
Using Distributive Property, A(B+C) = AB+AC
[tex]-3\left(7x^{2}+3x\right) = -21x^{2} -9x[/tex]
Hence, [tex]-3\left(7x^{2}+3x\right) = -21x^{2} -9x[/tex]
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select the correct answer. the endpoints of WX are W(-5,-1) and X(2,6) what is the length of WX
Answer:
[tex]d=7\sqrt{2}\text{ }[/tex]Step-by-step explanation:
The distance between two points is represented by the following equation;
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Therefore, if the endpoints of WX are (-5,-1) and X(2,6):
[tex]\begin{gathered} d=\sqrt{(2+5)^2+(6+1)^2} \\ d=7\sqrt{2} \end{gathered}[/tex]pls help me answer this
Answer:
hello!
Step-by-step explanation:
firstly lets convert the mixed fraction into a single fraction itself
thats 5/4
if each rope contributes to 5/4 meters then a rope with 8 pieces would be 5/4 x 8 which gives you the answer 10
an amusement park is running a special where you pay an entrance fee of $13 and will only charge $1 for the first 5 rides. After 5 rides, the price goes up to $4 per ride.
a. Write a function that represents the total cost of a trip to this amusement park
b. How much money will be spent if you go on 7 rides?
c. How many rides did someone go on who ended up spending $46?
We poll 550 people and find that 60% favor Candidate S. In order to estimate with 90% confidence the percent of ALL voters would vote for Candidate S, we should use:
We are 90%sure that the interval (0.6036, 0.5963) contains the true population proportion.
Given that, n=550 (Sample size, Number of trials), p=0.6 (Sample proportion) and 1−α=0.9 (Confidence level).
What is confidence interval for a population proportion?The confidence interval is one of the most used for estimating population parameters in statistics. It is common to perform an interval with a known confidence level to find a range of values that show us information about the population.
Using the standard error of the sample proportions [tex]ME=z_{\alpha /2}.\sqrt{\frac{p(1-p)}{n} }[/tex]
[tex]=z_{0.9/2}.\sqrt{\frac{0.6(1-0.6)}{550} }[/tex]
[tex]=z_{0.45}.\sqrt{\frac{0.6(0.4)}{550} }[/tex]
= 0.1736 × √(0.24/550)
= 0.1736 × 0.0208
= 0.00361
Confidence interval = 0.6±0.00361
= (0.6+0.00361, 0.6-0.00361)
= (0.6036, 0.5963)
Therefore, we are 90%sure that the interval (0.6036, 0.5963) contains the true population proportion.
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what is negative five times negative one third
Answer:
-5 1/3
Step-by-step explanation:
Answer:
5/3
Step-by-step explanation:
A negative times a negative is a positive. So your answer will be positive.
When multiplying a whole number times a fraction, you multiply the whole (big) number times the top number (numerator) and just keep the bottom number (denominator) the same.
5 × 1/3
Is 5×1 on TOP and just keep the 3 on the bottom.
(5×1)/3
5/3
5/3 is the best answer, but if you are being asked for a "mixed number" then 5/3 is the same as 1 2/3.
Simplify the expression
(9− 3i) (−6+ 8i) =
[tex] = 9( - 6 + 8i) - 3i( - 6 + 8i) \\ = - 54 + 72i + 15i - 24 {i}^{2} \\ = - 54 + 87i - 24 {i}^{2} [/tex]
ATTACHED IS THE SOLUTION
compare 7.3 and 12 use <,>, or =.
Answer: 7.3 < 12
Step-by-step explanation:
Giselle stars with the two parallel line segments shown. She correctly reflects the segments across
the x-axis and then translates them following the rule (x,y) → (x-2, y + 5).
Line Segment AB has endpoints (2,4) and (-2,-1). Line Segment CD has end points (3,1) and (-1.-4).
(image attached)
Which statements about the reflection and translation of the line segments are true? Select all that
apply.
omg what is the......................
What is the value of x
What is the measure of the smaller angle
What is the measure of the larger angle
Answer:
x=8
larger angle=113
smaller angle=67
Step-by-step explanation:
8x+3=a(Vertically opposite angle)
a+14x+1=180°(Angles between parallel line)
8x+3+14x+1=180°
22x+4=180°
22x=176°
x=8
Mr tan had 2 kg of sugar. He used 1/4 kg of sugar to make dessert and 3/5 kg of sugar to bake some cakes. What was the total mass of sugar used? How much sugar did he have left?
The total mass of sugar used is 1.7 kg.
The mass of sugar he has left is 0.3 kg.
What are fractions in math?In mathematics, a fraction is a numerical value that represents a portion of a whole. The entire can be any number, a specific value, or an item. Fractions are written as p/q.
Given:
Total mass of sugar Mr tan has = 2 kg
Fraction of sugar used to make dessert = 1/4 kg
Fraction of sugar used to bake some cakes = 3/5 kg
The total mass of sugar used is calculated as,
= Mass of sugar used to make dessert + Mass of sugar used to bake some cakes
Mass of sugar used to make dessert = (1/4 of 2) kg = 1/2 kg
Mass of sugar used to bake some cakes = (3/5 of 2) kg = 6/5 kg
Total mass of sugar used = (1/2 + 6/5) kg = 17/10 = 1.7 kg
Mass of sugar left = Total mass of sugar - Total mass of sugar used
= 2 kg - 1.7 kg = 0.3 kg
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Find a point-slope form for the line with slope 1/5 and passing through the point (-4,-5).
The Point-slop form for X is X = 5Y+15, and the Point-slop form for Y is [tex]\frac{X-5}{5}[/tex], for the line with a slope 1/5 and passing through the point (-4, -5).
Finding the slop form using the formula [tex]m=\frac{Y_{1} - Y_{2} }{X_{1} -x_{2} }[/tex]
The equation for x.
Here m=1/5.
∴ [tex]\frac{1}{5}=\frac{Y-(-4)}{X-(-5)}[/tex]
[tex]\frac{1}{5}[/tex] × X-(-5) = Y-(-4)
[tex]\frac{1}{5}[/tex] × X+5 = Y+4
X+5= 5Y+2O
X=5Y+20-5
X=5Y+15
∴Point-slop for X is X=5Y+15.
Solving for Y.
[tex]\frac{1}{5}=\frac{Y-(-4)}{X-(-5)}[/tex]
Simplifying and Solving.
[tex]\frac{1}{5}[/tex] × X-(-5) = Y-(-4), Taken 0n X-(-5) the right side.
[tex]\frac{1}{5}[/tex] × X+5 = Y+4
X+5= 5Y+2O
X+5-20=5Y
X-15=5Y
Taking 5 0n the right side.
[tex]\frac{X-15}{5}[/tex] = Y
∴ Point-slop form for Y is [tex]\frac{X-5}{5}[/tex]
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a number is between 26 and 31 it has the prime factors of 2 and 7 what is the number
Answer:
28
Step-by-step explanation:
2 x 7 = 14
Number should be in between 26 and 31
So,
14 x 2 = 28
28 has one of its prime factors as 2 and 7.
Hence,
28 is the number which is in between 26 and 31 it has the prime factors of 2 and 7.
Answer:
Step-by-step explanation: Given prime factors: 2, 7
By multiplying, 2 X 7= 14
Given, number is between 26 and 31
therefore, 14 X 2= 28 (since 2 is a prime factor)
ans: 28
How many times as great is the value 1.5 than the value of 0.15 Explain
The number of times the value 1.5 exceeds the value 0.15 is 10, which is obtained by dividing both values.
How do you calculate how many times a number is greater?We divide a by b to find how many times greater a number is than b; thus, to calculate how many times greater a number is, we use a division operation.
What exactly is a number comparison?To determine how many times greater a number is than b, we compare them, i.e. divide them.
As an example:
50/10 = 5, indicating that 50 is five times greater than ten.
We must determine how many times the value 1.5 is greater than the value 0.15.
For this , let us divide 1.5 by 0.15
Number of times the value is greater = 1.5/0/15
= 10
Therefore, the number of times the value 1.5 is greater than the value 0.15 is 10.
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Need help finding the perimeter
Answer:
Perimeter
P = 24.2
Step-by-step explanation:
Perimeter
P = 9 + √(6^2 + 6^2) + √(3^2 + 6^2) = 24.2
Brainliest For Correct Answer
The approximate height of the door is 84in
What is a rectangle?A rectangle is a polygon with 4 sides and 4 right angles.
It has 2 lines of symmetry and one of that lines is called a diagonal.
Rectangles are cut into two to form right angled triangles.
The rectangle is divided into two right angled triangles
with a diagonal of 94 inches, base = 42 inches.
The height of the rectangle, the base and the diagonal form a right angled triangle.
By Pythagoras,
[tex](94)^{2}[/tex] = [tex](42)^{2}[/tex] + [tex](height)^{2}[/tex]
8836 = 1764 + [tex](height)^{2}[/tex]
[tex](height)^{2}[/tex] = 8836 - 1764 = 7072
height = [tex]\sqrt{7072}[/tex] = 84 inches
In conclusion, the height of the rectangular door is 84 inches approximately.
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Answer: B is the answer to the question
Step-by-step explanation:
Given the translation T(3, -1), translate the ordered pairs (-3, 6) and (9, -8).
Answer:
(-3,6)----> (0,5)
(9,-8)----> (6,-9)
Step-by-step explanation:
The translation T(3,-1) shows that we need to add three units to the x-coordinates and -1 unit to the y-coordinates, as follows in the answer above.
angle 1 and angle 2 are supplements with m angle 1 = 10y + 46 and m angle 2 = 6y + 6. Find m angle 2
Answer: 54 Degrees
Step-by-step explanation:
Supplements add up to 180 deg.
Ang. #1 + Ang. #2 = 180 Deg
Angle 1=10y+46
Angle 2= 6y+6
16y+52=180 deg
16y=128
y=8
Since angle #2 is 6y+6, plugin y=8 6(8)+6=54 deg
:)
a recipe calls for 2 tsp of vanilla, we are doing a 6 times batch, how many cups of *
vanilla do you need?
Answer:
0.75 cups
Step-by-step explanation:
each batch needs 2 tablespoons your doing 6 batches so 6x2 is 12 and 12 tablespoons is 0.75 cups
Find the domain of the relation represented on the mapping diagram:
3-------> -1
6-------> 4
8-------> 4
Explain how to do it please!!
{3, 6, 8} is the domain of the relation R={(3,-1)(6,4)(8,4)}
What is Function?An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.
A function has three important parts, domain, codomain and Range.
The domain of the relation R is the set of arguments i.e. first members of each ordered pair and the codomain is the set of which the values i.e. second members of all the ordered pairs.
In the Given relation
R={(3,-1)(6,4)(8,4)}
All the values in x place are domain values.
The domain equals all of the x values which are r on the left in a ordered pair
x= {3, 6, 8}
Hence {3, 6, 8} is the domain of the relation R={(3,-1)(6,4)(8,4)}
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determine whether the order pair is a solution 3x-1+2=4
Answer:
x=1
Step-by-step explanation:
3x−1+2=4
Add −1 and 2 to get 1.
3x+1=4
Subtract 1 from both sides.
3x=4−1
Subtract 1 from 4 to get 3.
3x=3
Divide both sides by 3.
x=
3
3
Divide 3 by 3 to get 1.
x=1
Solve the equation.
pls n ty
Answer:
0
Step-by-step explanation:
use a calculator =)
or
[tex]\sqrt[3]{125} = 5\\\sqrt{25} = 5\\ so , 5 - 5 = 0[/tex]
let x be a normally distributed random variable with mean 5 and standard deviation 15. please express your answer as a number between 0 and 100. if you want to write 52%, please enter 52. what is the probability that x is less than or equal to 38?
The probability that x is less than or equal to 38 is 0.9861.
For a normally distributed set of data, given the mean and standard deviation, the probability can be determined by solving the z-score and using the z-table.
First, solve for the z-score using the formula below.
z-score = (x – μ) / σ
where x = individual data value = 38
μ = mean = 5
σ = standard deviation = 15
z-score = (38 - 5) / 15
z-score = 33 / 15
z-score = 2.2
Find the probability that corresponds to the z-score in the z-table. (see attached images)
z-score = 2.2
probability = 0.9861
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50 POINTS!
David borrowed money from a credit union for 5 years and was charged simple interest of 6%. The total interest that he paid was $2,100. How much money did he borrow?
[tex]5 \div 6 \times 2100 = 1750[/tex]
dennis has sold $40 worth of chocolate bars for a fundraiser. if he sells over 175 worth of chocolate, he’ll win a prize.each bar is 2.50. How many bars does he need to sell in order to wins prize
Answer:
Dennis needs to sell 54 more
Step-by-step explanation:
the value of [tex]\sqrt{6}[/tex] is not -4 because ______.
Answer:
D
Step-by-step explanation:
(-4^2) = 16 not -16
since,
you cant raise a number to an even power and get a negative value
The angle bisectors of AABC are AV, BV, and CV. They meet at a single point V.
(In other words, V is the incenter of AABC.)
Suppose TV=20, CV=23, mZTCU= 34°, and m SAV=26°.
Find the following measures.
Note that the figure is not drawn to scale.
S
B
U
mZSAU =
mSBV =
SV = [
The measure of the angles is m∠SAU= 24°
What is an incenter in geometry?The incenter is the point at which all of the attitude bisectors meet in the triangle, like within the video. It is not always the middle of the triangle.
In triangle ABC, V is the incenter of the triangle.
Since, m∠SAV = 26°
And m∠SBV = 2(m ∠SAV)
= 2 × 26°
= 52°
Since Property of the incenter of a triangle;
Therefore, DG = EG = GF = 10
Since, m∠A + m∠B + m∠C = 180°
2(18)° + 34° + 2(m∠SAU) = 180°
2(m∠SAU) = 180° - 132°
m∠SAU= 24°
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Find the simple interest and the total amount after three years.Principal = 11,750 rupeesAnnual rate of interest = 7.5%Total interest = (rupees)Total amount=(rupees)
The formula for calculating simple interest is expressed as
I = PRT
where
I represents the interest
P represents the principal or initial amount invested
R represents the interest rate
T represents the time in years
From the information given,
P = 11750
R = 7.5%
Recall, percentage is expressed in terms of 100. Thus,
R = 7.5/100 = 0.075
T = 3
By substituting these values into the formula,
I = 11750 x 0.075 x 3
I = 2643.75
Total interest = 2643.75 rupees
Total amount = principal + total interest
By substituting the values,
Total amount = 11750 + 2643.75
Total amount =
Answer: 11750 + 2643.75
Step-by-step explanation:
The formula for calculating simple interest is expressed as
I = PRT
where
I represents the interest
P represents the principal or initial amount invested
R represents the interest rate
T represents the time in years
From the information given,
P = 11750
R = 7.5%
Recall, percentage is expressed in terms of 100. Thus,
R = 7.5/100 = 0.075
T = 3
By substituting these values into the formula,
I = 11750 x 0.075 x 3
I = 2643.75
Total interest = 2643.75 rupees
Total amount = principal + total interest
By substituting the values,
Total amount = 11750 + 2643.75
If (2a) (2b) = 128, what is a + b equal to?
The exponents' best option will be determined by
a + b's value is seven.
Describe exponent.How often a number is multiplied by itself is indicated by the exponent.
For instance
In this case, 2 is multiplied by 4
Now in ( m times)
The base is designated as a, and the power is designated as m.
There are some indexing laws.
[tex]1)a^m \times a^n = a^{m+n}\\2)\frac{a^m}{a^n} = a^{m-n}\\3) (a^m)^n = a^{mn}\\4) (ab)^m = a^mb^m\\5) a^0 = 1\\6) a^{-m} = (\frac{1}{a})^m[/tex]
Here,
[tex](2^a)(2^b) = 128\\[/tex]
[tex]2^{a+b} =2^7[/tex] [According to laws of indices]
[tex]a + b = 7[/tex]
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Complete Question
If [tex](2^a)(2^b) = 128\\[/tex], then a + b is equal to?
Imagine that it is now 2 p.m. What time will it be when the minute hand has rotated through
1260°?
A. 5:30
B. 4:50
C. 6:00
D. 4:10
when the minute hand rotated through 1260° time will became 5:30 PM
Complete angle:-
A complete angle is a type of angle that measures 360°.A complete angle deals with one full rotation measuring 360°.
In an hour or in 60 minute, minute hand covers a 360° angle.
According to question,
initially it is 2:00PM,that is minute hand at 12 and hour hand at 2
it is given that minute hand has rotated through 1260°
1260° = 3 x 360° + 180°
which means minute hand will have three complete rotation and one half rotation.
when minute hand rotated through 360° angle then hour hand will move from 2 to 3.
And again in second rotation, when minute hand rotated through 360° angle then hour hand will move from 3 to 4.
Again in third rotation, when minute hand rotated through 360° angle then hour hand will move from 4 to 5.
As of now, minute hand have taken three complete rotation and so hour hand reached at 5
Now, when minute hand rotated through 180° (one half rotation),minute hand will reach at 6 from 12.
So, right now the position of hour hand is between 5 and 6 and the position of minute hand at 6.
hence, time will be 5:30 PM
Option A is correct
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