Answer:
f = 4
Step-by-step explanation:
Step 1: Distribute
-11f = 7 - 14f + 5
Step 2: Combine like terms
-11f = 12 - 14f
Step 3: Add 14f to both sides
3f = 12
Step 4: Divide both sides by 3
f = 4
Answer:
F = 4
solution,
-11f=7(1-2f )+5
Or -11 f = 7-14 f +5
Or -11 f +14 f = 5+7
Or 3 f = 12
Or f=12/3
F = 4
hope this helps...
good luck on your assignment...
Please answer this question in two minutes
Answer:
work is shown and pictured
2. Solve 4(3c + 10) < 12c + 40.
use photo for Choices
Answer:
no solution
Step-by-step explanation:
4 (3c + 10) < 12c + 4012c +40 < 12c +4012c- 12c < 40 -40 0 < 0Left and right sides are equal so no solution
Answer:No solution
Step-by-step explanation: I got it right on the test :)
This isosceles triangle has two sides of equal length, a, that are longer than the length of the base, b. The perimeter of the triangle is 15.7 centimeters. The equation can be used to find the side lengths.
If one of the longer sides is 6.3 centimeters, what is the length of the base?
cm
Answer:
b=3.1 cm
Step-by-step explanation:
Both of the longer sides will be equal so you can set up the equation (6.3+6.3)+b=15.7. Simplified you get 12.6+b=15.7, subtracting 12.6 from both sides you get that b=3.1 cm. This can be checked because it is also shorter than 6.3 and works correctly in the perimeter.
Matt has c baseball cards, and Jen has 9 fewer than 5 times as many cards as Matt. Jen gives Matt 14 cards. How many cards does Jen have now?
Answer:
Jen has 5c -23 cards now
Step-by-step explanation:
Matt has c baseballs.
Jen has 9 fewer than 5 times as Matt.
Mathematically, what Jen has will be 5c -9 baseballs
Now, Jen gives Matt 14 cards. This means that she lost 14 of her cards and we are going to subtract.
The number of cards she has now is thus 5c-9-14 = 5c -23 cards
A giant jar of jelly beans contains 1,463 jelly beans that are cherry-flavored and 5,080 jelly beans that are not cherry-flavored. What is the ratio of the number of jelly beans that are cherry-flavored to the number of jelly beans that are not cherry-flavored?
Answer:
1463 : 5080
Step-by-step explanation:
There are 1463 cherry-flavored jelly beans.
There are 5080 non cherry-flavored jelly beans.
The ratio of cherry-flavored jelly beans to non-flavored jelly beans is:
1463 : 5080
Simple and easy question
please help
Answer:
Volume of a sphere = 4/3πr³
π = 3.14
r = radius which is 3in
Volume = 4/3 × 3.14 × 3²
= 37.68
= 38 cubic inches to the nearest hundredth
Hope this helps
Answer:
38 cubic inches
Step-by-step explanation:
Which correlation coefficient implies that the data points are closest to the line that is used to model the
points?
r≈0.3
r≈ 0.87
r≈-0.52
r≈-0.9
Answer:
r= 0.87
Step-by-step explanation:
It has the strongest correlation, which means it is closest to the line.
Select three side lengths, in centimeters (cm), that can form a right triangle. Use the Pythagorean Theorem.
A. 5cm
B. 6cm
C. 8cm
D. 10cm
E. 11cm
F.12cm
The side lengths 8 cm, 6 cm, and 10 cm that can form a right triangle option (B), (C), and (D) are correct.
What is a right-angle triangle?It is defined as a triangle in which one angle is 90 degrees and the other two angles are acute angles. In a right-angled triangle, the name of the sides are hypotenuse, perpendicular, and base.
We know that Pythagoras theorem:
[tex]\rm Hypotenuse^2 = Perpendicular^2 + Base^2[/tex]
10² = 8² + 6² = 64+36 = 100
Thus, the side lengths 8 cm, 6 cm, and 10 cm that can form a right triangle option (B), (C), and (D) are correct.
Learn more about the right angle triangle here:
brainly.com/question/3770177
#SPJ2
write 109 as a decimal.
——
50
Answer:
Hello there!
~~~~~~~~~~~~~~~~~~~~~~`
Convert the fraction to a decimal by dividing the numerator by the denominator.
[tex]109 / 50 = 2.18[/tex]
Hope this helped you. Brainliest would be nice!
A coordinate plane. Which expression could help you find the distance between (10, 4) and (–6, 4)?
Answer:
d=16
Step-by-step explanation:
d: distance (10,4),(-6,4)
d=√(x2-x1)^2+(y2-y1)^2
d=√(-6-10)^2+(4-4)^2
d=√16^2
d=16
Answer:
go 4 to right or where is positive then thats it
Step-by-step explanation:
lololololololololololololol
What are the solutions to the quadratic equation below? x^2+34x-72=0
Answer:
( x + 36 ) ( x - 2 ) = 0
Step-by-step explanation:
x^2 + 36x - 2x -72 = 0
x ( x + 36 ) - 2 ( x + 36 ) = 0
( x + 36 ) ( x - 2 ) = 0
⚠️For ALL of y’all who said the answer was letter D, was INCORRECT!!
‼️Someone tell me what the right answer is
❤️Thanks in advance
Answer: B) 76.86
Step-by-step explanation:
Follow the steps others took to get D, then divide by 12 to get 76.86
Hope it helps <3
For the diagram shown, which pairs of angles are vertical angles? Select all that apply. Angle1 and Angle3 Angle2 and Angle4 Angle2 and Angle3 Angle5 and Angle7 Angle5 and Angle8 Angle8 and Angle6
Answer:
2 & 4
1 & 3
5 & 7
8 & 6
Vertical angles are formed in a set of intersecting lines. They are two differrent angles that are opposite of eachother but have the same angle.
Angle pairs that are vertical angles in the diagram shown when a transversal intersects two parallel lines are:
<1 and <3
<2 and <4
<5 and <7; and
<8 and <6
Recall:
Angles that are regarded as pairs of vertical angles share the same vertex and are directly opposite each other at the point of intersection of two straight lines.
From the image given,<1 and <3 are directly opposite each other and share same vertex.
<1 and <3 are therefore are a pair of angles that are vertical angles.
In the same vein, the following pairs:<2 and <4; <5 and <7; and <8 and <6 are all directly opposite each other. They are vertical angles pair.
Therefore, angle pairs that are vertical angles in the diagram shown when a transversal intersects two parallel lines are:
<1 and <3
<2 and <4
<5 and <7; and
<8 and <6
Learn more here:
https://brainly.com/question/2889556
17. The length of a swing is 2.1 m. If the length
of the arc that is made by the swing
4.4 m, calculate the angle swept by the
swing
Answer:
dose it tell you want angle the arc is at?
Step-by-step explanation:
PLEASE HELP ASAP SHOE YOUR WORK!!!! Best answer gets brainliest :)
Answer:
Height = 3cm
Volume = 50.27cm^3
Step-by-step explanation:
Well to solve for the height with slant height and radius we can use the Pythagorean Theorem,
Which is [tex]a^2 + b^2 = c^2[/tex].
So we have c and a, so we have to fill those in.
(4)^2 + b^2 = (5)^2
16 + b^2 = 25
-16
b^2 = 9
[tex]\sqrt{b} \sqrt{9}[/tex]
b = 3cm
So to find the volume of a cone we use the following formula [tex]\pi r^2 \frac{h}{3}[/tex].
So we have the radius and height so we just fill those in.
(pi)(4)^2(3)/3
(pi)16(1)
pi*16
About 50.27cm^3
HELP SOMEONE PLEASE! SO CONFUSED
Answer: The area is 24 square units.
Step-by-step explanation:
Things you need to use in this exercise:
Area of a circle = pi*r^2
r is the radius, equal to half the diameter.
Ok, in the image we can see 3 half-circles.
one has a diameter of 8 units: with area A (the left one)
other has a diameter of 6 units: with area B (the bottom one)
and the other has a diameter equal to the hypotenuse of the right triangle: with area C (the white semicircle that also includes the right triangle)
Now, you can think the shaded area as:
The sum of the areas of the half circles A and B, minus the area of the half-circle C, plus the area of the right triangle (because the white triangle is also included in the white semicircle)
So the area is:
A + B - C + area triangle
A = pi*(8/2)^2 = 3.14*4^2 = 50.24
B = pi*(6/2)^2 = 3.14*3^2 = 28.26
the area of the triangle is equal to:
T = 6*8/2 = 24
Now, to obtain the area of the white semicircle ( C) we need the hypotenuse of the triangle, so here we can use the Pythagorean's theorem:
H^2 = 8^2 +6^2
H = √(8^2 + 6^2) = 10
Then:
C = pi*(10/2)^2 = 3.14*5^2 = 78.5
Then the shaded area is:
Area = 50.24 + 28.26 + 24 - 78.5 = 24
If x + y = 6 and xy = 3, then the value of | x − y | it is
Answer:
2√6
Step-by-step explanation:
x + y = 6
xy = 3
Square the first equation.
x² + 2xy + y² = 36
Subtract 4xy from both sides.
x² − 2xy + y² = 36 − 4xy
Factor.
(x − y)² = 36 − 4xy
Substitute.
(x − y)² = 36 − 4(3)
(x − y)² = 24
Take square root.
x − y = ±√24
x − y = ±2√6
Take absolute value.
|x − y| = 2√6
Together, Dante and Mia have a total of 350 pennies in their piggy banks. After Dante lost ½ of his pennies and Mia lost ⅓ of her pennies, they both had an equal number of pennies. Altogether, how many pennies did they lose?
Answer:
Altogether they lost 150 pennies.
Step-by-step explanation:
X = Dante's pennies
Y = Mia's pennies
X + Y = 350 1/2 X = 2/3 Y
X = 4/3 Y
4/3 Y + Y = 350
7/3 Y = 350
Y = 350 * 3/7
Y = 50 * 3
Y = 150
X + 150 = 350
X = 200
1/2 * 200 = 2/3 * 150
100 . = 100
1/2 * 200 = 100 -> Dante lost 100 pennies
1/3 * 150 = 50 -> Mia lost 50 pennies
Altogether they lost 150 pennies.
Issa knows that ΔRED ≅ ΔTAN by the SSS theorem. She then concluded that ∠R ≅ ∠T. What reason can she use as a justification? a CPCTC b vertical angle theorem c alternate interior angles d None of these choices are correct.
Answer:
(A)CPCTC
Step-by-step explanation:
Issa knows that ΔRED ≅ ΔTAN by the SSS theorem.
If two triangles are congruent, their corresponding parts will always be congruent. In fact, their corresponding angles will be equal.
Therefore, Issa concluded that ∠R ≅ ∠T by the fact that Corresponding Parts of Congruent Triangles are Congruent (CPCTC).
The correct option is A.
Similarly, we can also conclude that:
∠E ≅ ∠A; and∠D ≅ ∠NSNOG HELP OR SOMEONE THANK YOUUUU
Which unit rate is equivalent to 14 miles per gallon?
two gallons over thirty two miles
thirty two miles over two gallons
three gallons over forty two miles
forty two miles over three gallons
Answer:
forty two miles over three gallons
Step-by-step explanation:
2 gallons over 32 miles simplifies to 1 gallon over 16 miles, or 1 gallon per 16 miles. This is not the desired result, so we know the first choice is incorrect.
32 miles over 2 gallons simplifies to 16 miles over 1 gallon, or 16 miles per gallon. Again, this is not the desired result, so we know the second choice is also incorrect.
3 gallons over 42 miles simplifies to 1 gallon over 14 miles, or 1 gallon per 14 miles. While this may look correct, note that 1 gallon per 14 miles and 14 miles per gallon are not the same thing, so we know that the third answer is also incorrect.
By process of elimination, we know that the correct answer must be the last option, but let's still simplify it. 42 miles over 3 gallons simplifies to 14 miles over 1 gallon, or 14 gallons per mile. This is in fact the desired result, so we know that the correct answer is the last option. Hope this helps!
Find the nth term -1 8 19 32 47
[tex]\bold{\text{Answer:}\quad \text{Recursive formula:}\ a_n=a_{-1}+2n+5}\\.\qquad \qquad \ \text{Explicit formula:}\ a_n=2n^2+3n-6[/tex]
Step-by-step explanation:
-1 → 8 = +9
8 → 19 = +11
19 → 32 = +13
32 → 47 = + 15
a₁ = -1
d = 2n + 5
Recursive formula is: the previous term plus the difference (d)
[tex]\large\boxed{a_n=a_{n-1}+2n+5}[/tex]
Explicit formula is the first term plus the product of d and n-1:
[tex]a_n=a_1+d(n-1)\\a_n=-1+(2n+5)(n-1)\\a_n=-1+2n^2-2n+5n-5\\\large\boxed{a_n=2n^2+3n-6}[/tex]
Evaluate: m - 12 when m = 23.
Answer:
11
Step-by-step explanation:
sub 23 with m
23 - 12 = 11
A company rounds its losses to the nearest dollar. The error on each loss is independently and uniformly distributed on [–0.5, 0.5]. If the company rounds 2000 such claims, find the 95th percentile for the sum of the rounding errors.
Answer:
the 95th percentile for the sum of the rounding errors is 21.236
Step-by-step explanation:
Let consider X to be the rounding errors
Then; [tex]X \sim U (a,b)[/tex]
where;
a = -0.5 and b = 0.5
Also;
Since The error on each loss is independently and uniformly distributed
Then;
[tex]\sum X _1 \sim N ( n \mu , n \sigma^2)[/tex]
where;
n = 2000
Mean [tex]\mu = \dfrac{a+b}{2}[/tex]
[tex]\mu = \dfrac{-0.5+0.5}{2}[/tex]
[tex]\mu =0[/tex]
[tex]\sigma^2 = \dfrac{(b-a)^2}{12}[/tex]
[tex]\sigma^2 = \dfrac{(0.5-(-0.5))^2}{12}[/tex]
[tex]\sigma^2 = \dfrac{(0.5+0.5)^2}{12}[/tex]
[tex]\sigma^2 = \dfrac{(1.0)^2}{12}[/tex]
[tex]\sigma^2 = \dfrac{1}{12}[/tex]
Recall:
[tex]\sum X _1 \sim N ( n \mu , n \sigma^2)[/tex]
[tex]n\mu = 2000 \times 0 = 0[/tex]
[tex]n \sigma^2 = 2000 \times \dfrac{1}{12} = \dfrac{2000}{12}[/tex]
For 95th percentile or below
[tex]P(\overline X < 95}) = P(\dfrac{\overline X - \mu }{\sqrt{{n \sigma^2}}}< \dfrac{P_{95}- 0 } {\sqrt{\dfrac{2000}{12}}}) =0.95[/tex]
[tex]P(Z< \dfrac{P_{95} } {\sqrt{\dfrac{2000}{12}}}) = 0.95[/tex]
[tex]P(Z< \dfrac{P_{95}\sqrt{12} } {\sqrt{{2000}}}) = 0.95[/tex]
[tex]\dfrac{P_{95}\sqrt{12} } {\sqrt{{2000}}} =1- 0.95[/tex]
[tex]\dfrac{P_{95}\sqrt{12} } {\sqrt{{2000}}} = 0.05[/tex]
From Normal table; Z > 1.645 = 0.05
[tex]\dfrac{P_{95}\sqrt{12} } {\sqrt{{2000}}} =1.645[/tex]
[tex]{P_{95}\sqrt{12} } = 1.645 \times {\sqrt{{2000}}}[/tex]
[tex]{P_{95} = \dfrac{1.645 \times {\sqrt{{2000}}} }{\sqrt{12} } }[/tex]
[tex]\mathbf{P_{95} = 21.236}[/tex]
the 95th percentile for the sum of the rounding errors is 21.236
A country has a total biocapacity of 6.21 ha/person, a biocapacity of grazing land of 0.85 ha/person, and a biocapacity of forest land of 2.53 ha/person. Calculate the percentage of biocapacity from grazing and forest land.
Answer:
3.38/6.21=54.428% (0.54428)
Step-by-step explanation:
biocapacity of grazing land of 0.85 ha/person+biocapacity of forest land of 2.53 ha/person
2.53+0.85=3.38
the percentage of biocapacity from grazing and forest land
3.38/6.21=54.428% (0.54428)
HELP please!!
“Find the volume of the sphere rounded to the nearest hundredth
Answer:
904.32 cm^3
Step-by-step explanation:
The formula for the volume of a sphere is V=4/3πr³. Since r is given, we can plug that in for r. I'm assuming that we are using 3.14 for pi, so when we plug in all the values in the equation we get V = 4/3*3.14*6³, which solves out to 904.32.
The tape diagram represents an equation. Write an equation to represent the image.
Answer:
5n = 1.75
Step-by-step explanation:
The 2 bars are equal thus lower equals upper, that is
5n = 1.75
The measure of major arc ACB is _____ degrees. (Enter only a number as your answer)
Answer:
Step-by-step explanation:
measure of angles of a circle=360
angle ACB=360-82=278 degrees
HELP ME PLEASE PLEASE IM BEGGING
Can someone please help me!!!
Answer: The next step will be 2x - 1 = 9
Step-by-step explanation:
4x -1 = 2x + 9
-2x -2x
2x -1 = 9
+1 +1
2x= 10
x= 5
Answer:
2x-1=9
Step-by-step explanation:
2x-1=9
4x-2x-1=2x-1
2x-2x+9=9
2x-1=9
PLEASE HELP ME ASAP!
Answer:
x =- 3 and y = -7
Step-by-step explanation:
2X-2Y=-8
X=2y + 11
We need to isolate both X and Y in both equations
so
2x-2y=-8
(add 2y to both sides)
2x=-8+ 2y
(divide both sides by 2)
x=-4+y and x=2y+11
because both of these equations are the same we can put them together
4+y=2y+11
(subtract y)
4=y+11
(subtract 11)
-7=y
so y = -7
then to find x you just need to plug in y to one of the equations
x=2(-7) + 11
x= -14 +11
x = -3
Answer:
x = - 19, y = - 15
Step-by-step explanation:
Given the 2 equations
2x - 2y = - 8 → (1)
x = 2y + 11 → (2)
Substitute x = 2y + 11 into (1)
2(2y + 11) - 2y = - 8 ← distribute and simplify left side
4y + 22 - 2y = - 8
2y + 22 = - 8 ( subtract 22 from both sides )
2y = - 30 ( divide both sides by 2 )
y = - 15
Substitute y = - 15 into (2) for corresponding value of x
x = 2(- 15) + 11 = - 30 + 11 = - 19
Solution is x = - 19, y = - 15