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Explanation:
Apply the distance formula.
[tex]d = \sqrt{ (x_1-x_2)^2+(y_1-y_2)^2}\\\\d = \sqrt{ (-1-1)^2+(4-(-1))^2}\\\\d = \sqrt{ (-1-1)^2+(4+1)^2}\\\\d = \sqrt{ (-2)^2+(5)^2}\\\\d = \sqrt{ 4+25}\\\\d = \sqrt{ 29}\\\\d \approx 5.38516\\\\d \approx 5.39\\\\[/tex]
You could also use the pythagorean theorem which is what the distance formula is based off of.
.3% of what number is 4.8?
Answer:
1600
Step-by-step explanation:
0.3% of 1600 will result to 4.8
5х – 11 = 3х + 3
Solve for x
Answer:
Hello☺️!
Step-by-step explanation:
[tex]5 x - 11 = 3x + 3[/tex]
[tex]5x - 3x = 3 + 11[/tex]
[tex]2x = 14[/tex]
[tex]x = \frac{14}{2} [/tex]
[tex]x = 7[/tex]
what logaa equals??
Answer:
Logarithm I think
Step-by-step explanation:
If u need more explanation u can ask me
8(−5d−9)−3(−6d+10) in simplest terms
Answer:
-22d -102
Step-by-step explanation:
8(−5d−9)−3(−6d+10)
Distribute
-40d -72 +18d -30
Combine like terms
-40d +18d -72 - 30
-22d -102
Answer:
−22d − 102
Step-by-step explanation:
8 (−5d − 9) −3 (−6d + 10)
expand 8 (−5d − 9) to −40d − 72
= −40d − 72 − 3 (−6d + 10)
expand − 3 (−6d + 10) to 18d − 30
= −40d − 72 + 18d − 30
combine like terms
= −40d + 18d − 72 − 30
= −22d − 102
What is 1/5 of 30????
Answer: The answer is 6!
Step-by-step explanation:
a) The marked price of a mobile is 25% above its cost price, When it is sold at a gain of
10%, the profit amounts to Rs 725. Find the marked price of the mobile.
Answer:
the marked price of a mobile is 25% above its cost price when it is sold at a gain of 10%, the profit amount to RS 725 find the marked price of the mobile
Step-by-step explanation:
Hope this helps.......
In ABC, the measure of sides c is 3.9 cm If DEF is a dilation ABC with a scale factor of 2.5 what is the measure of side f
Answer:
[tex]F = 9.75cm[/tex]
Step-by-step explanation:
Given
In ABC;
[tex]C = 3.9cm[/tex]
[tex]Dilation = 2.5[/tex]
Required
Determine side F
In the given question;
DEF is a dilation of ABC
Comparing both triangles side by side,
Side F is a direct dilation of side C and this is calculated as follows
[tex]F = Dilation * C[/tex]
[tex]F = 2.5 * 3.9cm[/tex]
[tex]F = 9.75cm[/tex]
3.a. Use the distributive property to rewrite the equation.
Enter the new equation as your answer.
3(2x - 1) + 4 = 7
Enter your answer
4.b. Combine any like terms to rewrite the equation that you entered as an answer in part a.
Enter the new equation as your answer.
Enter your answer
5.c. Use addition or subtraction to rewrite the equation that you entered as an answer in part b.
Enter the new equation as your answer.
Enter your answer
6.d. Use multiplication or division to rewrite the equation that you entered as an answer in part c.
Enter the new equation as your answer.
Answer:
Hey there!
Part A
3(2x-1)+4=7
6x-3+4=7
Part B
6x+1=7
Part C.
6x+1-1=7-1
6x=6
Part D.
6x/6=6/6
x=1
Let me know if this helps :)
Answer:
3. 6x -3 +4 = 7
4. 6x +1 = 7
5. 6x = 6
6. x = 1
Step-by-step explanation:
3. The distributive property allows you to eliminate parentheses by multiplying the outside factor by every term inside.
3(2x -1) +4 = 7 . . . . . . given
3(2x) +3(-1) +4 = 7 . . . . using the distributive property
6x -3 +4 = 7 . . . . . . . finishing the evaluation of those products
__
4. The only like terms that can be combined are the two constant terms on the left side. We simply add them up.
6x +1 = 7
__
5. Using the subtraction property of equality, we can subtract 1 from both sides of the equation. We choose to do this so that the x-term is by itself.
6x +1 -1 = 7 -1
6x = 6
__
6. Using the division property of equality, we can divide both sides of the equation by 6. We choose to do this so the new coefficient of x is 1.
6x/6 = 6/6
x = 1
______
Additional comment
You're told to apply these steps without any explanation as to why or what the goal may be. We assume you're supposed to realize that you can use these steps to solve the equation. Of course, you can use different values for addition (or subtraction) or multiplication (or division). Doing so may satisfy the literal interpretation of the question, but won't get you a solution to the equation.
A concrete column has a diameter of 390 mm and a length of 3 m. If the density (mass/volume) of concrete is 2.45 Mg/m^3, determine the weight of the column in pounds.
Answer:
w= 0.83 NStep-by-step explanation:
The column has the shape of a cylinder hence the formula for the volume of a cylinder is
[tex]v=\pi r^2h[/tex]
Given
diameter d= 390 mm
radius r= 390/2= 195 mm to meter = 0.195 m
length or height h= 3 m
applying the data to the formula we have
[tex]v=\pi *0.195^2*3\\\\ v=\pi*0.0038*3\\\\ v=\pi*0.0114\\\\ v=0.035 m^3[/tex]
we can now use the volume in addition with the density given to solve for the mass using the expression for density
density= mass/volume
2.45= mass/0.035
mass= 2.45*0.035
mass= 0.085 mg
We know that weight
w= mass* acceleration
w= 0.085*9.81
w= 0.83 N
A man is twice as old as his son. five years ago, their ages was 9:4 .find the sons present
Answer:
five years ago
father:son = 9:4
= 45: 20
now
father: son = 45+5 : 20+5
= 50:25
ok
the son is now 25 years old
YOU HAVE 30 GALLONS OF GAS AND YOU USE 5 GALLONS ER DAY FOR D DAYS
Answer:
d = 6 days
Step-by-step explanation:
We only have a total of 30 gallons.
We are told that we use 5 gallons per day.
So:
d - days
5d = 30
*Divide both sides by 5*
d = 6
What fraction of box does each student receive?
Answer: 13/48
let me know if I'm wrong
I didn't have enough time to explain it though
Step-by-step explanation:
Now that you have x² - 8x + 16 = 9 + 16, apply the square root property to the equation.
Answer:
x=−1,−7
Step-by-step explanation:
Answer:
The solutions are {-1, 9}
Step-by-step explanation:
x² - 8x + 16 can be re-written as (x - 4)^2, and 9 + 16 as 25.
Taking the square root of both sides of (x - 4)^2 = 25, we get:
x - 4 = ±5, or:
x = 4 + 5 = 9, and
x = 4 - 5 = -1
The solutions are {-1, 9}
Round the given number to the nearest tenth. 560.294
Answer:
560.3
hope it helps
бx - 6 = 24х +6
Help
Answer: [tex]x=-2/3[/tex]
Subtract 24x from both sides
[tex]6x-6-24x=24x+6-24x\\-18x-6=6[/tex]
Add 6 to both sides
[tex]-18x-6+6=6+6\\-18x=12[/tex]
Divide both sides by -18
[tex]-18x/-18=12/-18\\x=-2/3[/tex]
Answer: x=-2/3.
Step-by-step explanation:6x-6 = 24х+6
6x-6-24x=6 -18x-6+6=6+6 -18x/-18=12/-18 x=-2/3
What is the distance across the river in feet?
Answer:
375
Step-by-step explanation:
The ratio of d to 125 is the ratio of 30 to 10,so by comparison, 30:10=3÷1
X÷125=X=375
Select all sets that the number is a part of. You may have to select more than one.
66
Group of answer choices
Rational Numbers
Real Numbers
Irrational Numbers
Integers
Natural Numbers
Whole Numbers
write 7.48 as a mixed number in simplest form
[tex]7\frac{12}{25}[/tex]
Step-by-step explanation:7.48 = 748⁽⁴/100 = 187/25 = 7 12/25
find the area of the triangle given a = 14, c=21, and B=87°. Round your answer to the nearest tenth.
Answer: 143.8 units²
Step-by-step explanation:
Since you know the length of two sides and the measure of the included angle, you can use the following trig formula:
[tex]Area=\dfrac{1}{2}ac \sin B[/tex]
Given: a = 14, c = 21, B = 87°
[tex]Area=\dfrac{1}{2}(14)(21) \sin 87^o\\\\.\qquad =147\sin 87^o\\\\.\qquad =143.8[/tex]
Answer:
[tex]\huge \boxed{\mathrm{146.8 \ units^2 }}[/tex]
Step-by-step explanation:
We can solve for the area of the triangle when two sides are given and the angle in between the two sides.
[tex]\displaystyle A=\mathrm{\frac{1}{2}ac \cdot sinB }[/tex]
[tex]\displaystyle A=\mathrm{\frac{1}{2} \cdot 14 \cdot 21 \cdot sin87 }[/tex]
[tex]\displaystyle A=\mathrm{147 \cdot sin87 }[/tex]
[tex]\displaystyle A=\mathrm{146.79854160...}[/tex]
The area of the triangle is 146.8 units².
The length of a rectangle is 99 meters and the width is 87 meters. Find the area. Give your answer without units.
Answer:
Area = 8613Step-by-step explanation:
Area of a rectangle = l × w
where
l is the length
w is the width
From the question
length = 99 m
width = 87 m
Substitute the values into the above formula and solve for the area
That's
Area = 99 × 87
We have the final answer as
Area = 8613
Hope this helps you
Explain the difference between observed frequency and expected frequency as it relates to Chi-Square test.
Answer:
Step-by-step explanation:
A Chi-square test is used to test the test of independence between rows and columns, contingency tables. It is a test related to frequencies. The observed frequency is a given statistical frequency known as the actual frequency, the expected frequency is known as the theoretical frequency is derived from the study by using the sum total of the row and total in the column divided by their corresponding sample size.
Which expression is equal to 8x3+8x1?
A. 8(3 + 8)
B. 8(3+1)
C. 3(8+1)
D. 1(3 + 8)
Answer:
B. 8(3+1)
Explanation: 8x3 = 24. 8x1 = 8
Answer:
B. 8(3+1) = 32
Step-by-step explanation:
8 x 3 + 8 x 1 = 32
A. 8(3 + 8) = 88
B. 8(3+1) = 32
C. 3(8+1) = 72
D. 1(3+8) = 11
Please Help! I'm Stuck!
Answer:
A. y = -4x - 10
Step-by-step explanation:
See image below. The red line (y = -4x - 10) is parallel to the blue line (y = -4x + 3) and passes through (-3 , 2)
Answer:
y = -4x - 10 (Answer A)
Step-by-step explanation:
Any line parallel to the given y = -4x + 3 has the same slope: -4.
Starting with y = mx + b, and substituting -4 for m, -3 for x and 2 for y, we get:
2 = -4(-3) + b, or b = -10, and so the desired equation is
y = -4x - 10 (Answer A)
A raffle game has a single gran prize that will be drawn randomly from among all the tickets. A total of 500 tickets are sold. If a man buys 25 tickets, what is the probability that he will win the grand prize?
Step-by-step explanation:
P = 25/500
P = 1/20, or 5%
I WILL GIVE BRAINLIEST IF IT IS CORRECT! The Atlantic Ocean covers about 3.2 × 10^7 square miles. The Pacific Ocean covers about 6.4 × 10^7 square miles. About how much area does the Atlantic Ocean and Pacific Ocean cover? A. 3.2 × 10^7 square miles B. 9.6 × 10^7 square miles C. 3.2 × 10^14 square miles D. 9.6 × 10^14 square miles
Answer:
B
Step-by-step explanation:
3.2 * 10⁷ + 6.4 * 10⁷
= 10⁷ * (3.2 + 6.4)
= 10⁷ * 9.6
= 9.6 * 10⁷
Answer:
The Atlantic Ocean and Pacific Ocean covers about 9.6 x 10^7 mi^2
Step-by-step explanation:
Let
x -----> area covered by the Atlantic Ocean
y -----> area covered by the Pacific Ocean
we know that
The area that covers the Atlantic Ocean and Pacific Ocean is equal to the sum of the area covered by the Atlantic Ocean and the area covered by the Pacific Ocean
x = 3.2 x 10^7
y = 6.4 x 10^7
Substitute
x + y = 3.2 x 10^7 + 6.4 x 10^7 = 9.6 x 10^7.
Hope this helps! And good luck on your test!
In countries that use the metric system of measurement, corn yields are sometimes expressed in quintals per hectare (q/ha) instead of bushels per acre (bu/ac). 1 quintal = 220.462 lbs 1 bushel of corn = 56 lbs In field trials in one of these countries, a particular corn hybrid yielded 151 q/ha. What is this in bushels per acre (bu/ac)? Margin of Error: +/- 1 bu/ac
Answer:
The answer is below
Step-by-step explanation:
Different countries have different metric system of measurement, but the metric system of measurement accepted all over the world is the international system of unit (SI unit)
1 quintal = 220.462 lbs and 1 bushel of corn = 56 lbs.
151 q/ha = (151 × 220.462) lbs/ha = 33289.762 lbs/ha
But 1 hectare = 2.471 acre, hence:
33289.762 lbs/ha = [tex]\frac{33289.762\ lbs}{1\ ha*\frac{2.471\ acre}{1 \ ha} } =13472.182\ lbs/acre[/tex]
Since 1 bushel of corn = 56 lbs, hence:
[tex]13472.182\ lbs/acre=\frac{13472.182\ lbs*\frac{1\ bushels}{56\ lbs} }{acre}=240.6\ bushels/acre[/tex] = 240.6 bu/ac
For a Margin of Error: +/- 1 bu/ac, the bushels per acre = (239.6 bu/ac, 241.6 bu/ac)
The daily demand for ice cream cones at a price of $1.20 per cone is 50 cones. At a price of $2.20 per cone, the demand is 30 cones. Use linear interpolation to estimate the demand at a price of $1.50 per cone.
Answer:
The demand at a price of $1.50 per cone is 44 conesStep-by-step explanation:
let us apply the interpolation formula to solve this problem
we have
[tex]\frac{y-y1}{x-x1} =\frac{y2-y1}{x2-x1}[/tex]
Now let us set the values to the notation above
x= $1.20
x1= $2.20
x2= $1.50
y = 50 cones
y1= 30 cones
y2= ?
[tex]y2= \frac{(y-y1)}{(x-x1)} (x2-x1)+y1[/tex]
Substituting our given data we have
[tex]y2= \frac{(50-30)}{(1.2-2.2)} (1.5-2.2)+30\\\\y2= \frac{20}{-1} (-0.7)+30\\\\y2= (20*0.7)+30\\y2= 14+30\\y2= 44[/tex]
the demand at a price of $1.50 per cone is 44 cones
Helpppppppppppp me I really need help
Which ordered pair is a solution bf 2x = y? . (-1,-2) (-1,-1) (1,1) (1.-1)
Answer:
(-1,-2)
Step-by-step explanation:
Ordered pairs go in the order x,y so the 2x would be the first number that then equals the second number. The answer is (-1,-2) because when you multiply 2*-1 you get -2 and what's the y? -2. Does -2 = -2? Yes.
Estimate. Then find the difference 300,980 -159,000
Answer:
142,000
Step-by-step explanation:
I would round 300,980 to the nearest thousands place = 301,000
Subtract 301,000 and 159,000 = 142,000