Answer:
[tex]x {}^{2} + 4 - 1 - 2 \\ x {}^{2} + 3 - 2 \\ = x {}^{2} + 1[/tex]
Line l has a slope of 2. The line through which of the following pair of points is perpendicular to l?
Answer:
D
Step-by-step explanation:
If two lines are perpendicular, the products of their slopes will be -1. Therefore, we're looking for a line with slope of -1/2. Let's check each answer:
A: 5 - 3 / (-2 - 3) = 2 / -5
B: 6 - 5 / 6 - 5 = 1
C: 5 - 3 / 4 - 3 = 2
D: 4 - 3 / 3 - 5 = -1/2
The answer is D.
The line through points ( 3,4) ( 5,3) is perpendicular to the line l , Option D is the correct answer.
What is a Straight Line Equation ?An equation of a straight line is y = mx+c , here m is the slope and c is the y intercept
m is determined by
[tex]\rm m = \dfrac{y_2 - y_1}{x_2 - x_1}[/tex]
It is given that line l has slope = 2
The line perpendicular to it will have a slope such that the product is -1
So , the line perpendicular to it should have the slope = -1/2
Slope of Option A is
5 - 3 / (-2 - 3) = 2 / -5
Slope of Option B is
6 - 5 / 6 - 5 = 1
Slope of Option C is
5 - 3 / 4 - 3 = 2
Slope of Option D is
4 - 3 / 3 - 5 = -1/2
Therefore , The line through points ( 3,4) ( 5,3) is perpendicular to the line l , Option D is the correct answer.
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Please Solve |y - 2|<10
Answer:
[tex]-8<y<12[/tex]
Step-by-step explanation:
[tex]|y - 2|<10[/tex]
[tex]-10<y-2<10[/tex]
[tex]-10+2<y-2+2<10+2[/tex]
[tex]-8<y<12[/tex]
Answer: y<12 and y>−8
Step-by-step explanation:
Picture attached:
I’m in need of major help with my Intermediate Algebra. Anyone please I need to pass my summer class.
Answer:
oki
Step-by-step explanation:
what do you need help with? :)
Patsy can decorate 3 1/2 cakes in 1/4 hour. At this rate, how many cakes can she decorate in 1 hour?
What is credit?
ОА
an arrangement in which you receive money, goods, or services now in exchange for the promise of payment later
ОВ.
an arrangement in which you receive goods or services in exchange for other goods and services
Ocan arrangement in which you receive money now and pay it back later with fees
Reset
Next
Answer:
B
Step-by-step explanation:
credit is when you receive something
i think of it like if you give someone 'extra credit' it is like a bonus score
hope this helps:
if this is wrong plz comment and i will edit me answer thanks :)
Calculate the product below and give your answer in scientific notation. (4.3*10^2)*(4.0*10^-3)
4.3*4=17.2
10^2*10^-3=0.1
0.1*17.2= 1.72
Joanne bought a box of pens for $3.75. There are 100 pens in a box. The pens individually cost 7 cents. How much money did she save? A. $3.25 B. $0.38 C. $7.00 D. $10.75
Answer:
The answer is C) $7.00
Answer: A $3.25
Step-by-step explanation:
Each pen cost 7pm. So 100 pens would have cost 7p x 100 = $7
She bought a box of hundred for $3.75
He actually saved:
7 - 3.75 = 3.25
Subtract:
[tex]({2a}^{2} + 5a + 3) - ( {a}^{2} - 3a - 4)[/tex]
Answer:
2a² - a² = a²
5a - (-3a) = 5a + 3a = 8a
3 - (-4) = 3 + 4 = 7
Answer is a² + 8a + 7.
Identify the measure of arc AB.
1. arc AB = 70°
2. arc AB = 60°
3. arc AB = 80°
4. arc AB = 50°
Answer:
4
Step-by-step explanation:
A and B meet at G which is 50 moving up the degree ould still stay 50
15
Which of these article headlines clearly implies causation?
Α.
Autism Linked to Environmental Pollution
B.
Automobile Pollution Increases Risk of Heart Disease
C.
Asthma Attacks Recorded More Frequently in Older Homes
D.
Intake of Nutrients Connected to the Food Supply
DE.
Life Span of a person is Associated with Career Choice
Answer:
B.
Step-by-step explanation:
Causation is often confused with correlation because they are so similar. B would mean that pollution is caused from something (lets say greenhouse gases for example) which then results in more cases of heart disease.
Causation is when the first variable may bring the second into existence or may cause the incidence of the second variable to fluctuate. So, causation is the capacity of one variable to influence another. Which, would make B, a suitable candidate.
Probability of Mary winning the game is 4/15
What is the odds in favor of Mary winning the game?
Step-by-step explanation:
Probability (P) = 4/15
Formula
Odds = P/(1-P)
1- P = 1- 4/15
= 11/15
Odds = (4/15)/(11/15)
= (4/15)(15/11)
=4/11
Odds in favour of Mary winning is 4/11
Hope it helps...
3. Carpet costs $7.00 per square yard. How much will it cost for a 16-foot x 18-foot carpet? please show all work and formulas
Answer:
$ 224
Step-by-step explanation:
1 yd = 3 ft
16ft = 16/3 yd
18ft = 18/3 yd = 6 yd
A = 16/3 × 6 yd = 32 yd²
1 yd² .............. $7
32 yd² ...........$x
x = 32×7/1 = $ 224
write the missing numbers
4,7,5,_,6,9,_,10
Answer:
8 and 12
Step-by-step explanation:
find a pattern: +3, -2
the missing numbers are 8 and 12
Answer:
The numbers missing are 8 and 7.
Step-by-step explanation:
First you need to find a pattern in the numbers. You will notice that the pattern is add 3, subtract two. This is because, to get from 4 to 7, you add three, and to get from 7 to 5, you subtract 2.
When you apply that pattern, you find the missing numbers.
5(+3)=8, then 8(-2)=6, then 6(+3)=9, then 9-2=7, then 7(+3)=10
I hope this helps :)
What is the value of x?
Answer:
x = 28
Step-by-step explanation:
We can use ratios to solve
x x+10
------ = -----------
42 42+15
Using cross products
42(x+10) = x(42+15)
42x+420 = 57x
Subtract 42x from each side
420 = 15x
Divide by 15
420/15 = x
28 =x
What is the slope of the line in the graph?
Answer:
1
Step-by-step explanation:
move up one and over one, 1/1 = 1
x^2-18-6 completing the square
Answer:
(x+0)^2-24
Step-by-step explanation:
use (b/2)^2 to complete the square.
Answer:
(x+0)^2-24
Step-by-step explanation:
I took ap math XD
Mikes mother took 18 minutes to make 2 bowls of salad. How long would it take to make 7 such bowls of salad?
Answer:
63 minutes or 1 hour 3 minutes
Step-by-step explanation:
We can use ratios to solve
18 minutes x minutes
--------------- = --------------
2 bowls 7 bowls
Using cross products
18*7 = 2x
Divide by 2
18/2 *7 = x
63 minutes
Answer: 63 minutes or 1 hour and 3 minutes
Step-by-step explanation:
18 minutes is how long it takes to make 2 bowls. To find out how long it takes to make 1 bowl, divide by 2.
18 / 2 = 9
Now multiply that by 7 to find out how long it takes to make 7 bowls.
9 * 7 = 63
63 minutes
The square based pyramid is cut horizontally at a height of 15cm to leave this frustum. Calulate the volume of the frustum.
Answer:
The answer is given below
Step-by-step explanation:
The question is not complete. The correct question is:
A square based pyramid have a height of 30 cm and base of 10 cm. The The square based pyramid is cut horizontally at a height of 15cm to leave this frustum.
Answer:
The frustum would have a base of 10 cm and height of 15 cm. The lower base has a length of 10 cm. to calculate the upper base, we use the formula:
[tex]\frac{height\ of\ frustum}{height\ of \ pyramid}=\frac{base \of\ upper\ edge}{base \of\ lower\ edge}[/tex]
Substituting:
[tex]\frac{30}{15}=\frac{10}{b} \\ b=15*10/30=5[/tex]
The volume of the frustum is given by the formula:
[tex]V=\frac{h}{3}(A_1+A_2+\sqrt{A_1A_2} )[/tex]
Where h is the height of the frustum = 15 cm, A1 is the area of the lower base = 10 * 10 = 100 cm², A1 is the area of the upper base = 5 * 5 = 25 cm²
Substituting gives:
[tex]V=\frac{h}{3}(A_1+A_2+\sqrt{A_1A_2} )=\frac{15}{3}(100+25+\sqrt{100*25} )= 875\ cm^3[/tex]
Alex and Thomas share 30 sweets.They divide them in the ratio 3:2. Which share is Alex?
Answer:
Alex : 18
Step-by-step explanation:
3 + 2 = 5
30 ÷ 5 = 6
6 × 3 = 18
6 × 2 = 12
The deca tree has 10 trunks. On each trunk there are 10 branches. On each branch there are 10 twigs. On each twig there are 10 leaves. One day a woodcutter came along and cut down one trunk from the tree. Then he cut off one branch from another trunk from the tree. He then cut off one twig from another branch. Finally he pulled one leaf from another twig. How many leaves are there left.
Answer: 8999 leaves is left on tree
Step-by-step explanation:
Remember there are: 10 trunks
10 branches
10 twigs
10 leaves
On one deca tree
Therefore we have to find for :
Which is :
10 trunks × 10 branches = 100 branches
100 branches × 10 twigs = 1000 twigs
1000 twigs × 10 leaves = 10000 leaves
We find for the leaves.
1 trunk = 10 branches = 10 twigs =
10 leaves
1 * 10 * 10 * 10 = 1000 leaves
1000 + 1 = 1001 leaves were picked
10000 - 1001 = 8999 leaves are left on the tree
Evaluate 8 − m n + p 2 8− n m +p 2 8, minus, start fraction, m, divided by, n, end fraction, plus, p, squared when m = 8 m=8m, equals, 8, n = 2 n=2n, equals, 2, p = 7 p=7p, equals, 7.
Answer:
[tex]8 - \frac{m}{n} + p^2 = 53[/tex]
Step-by-step explanation:
Given
[tex]8 - \frac{m}{n} + p^2[/tex]
[tex]m = 8[/tex]
[tex]n = 2[/tex]
[tex]p = 7[/tex]
Required
Evaluate
To solve this;
we simply substitute the values of m, n and p in the given expression
In other words; we replace m, n and p with their actual values;
[tex]8 - \frac{m}{n} + p^2[/tex]
becomes
[tex]8 - \frac{m}{n} + p^2 = 8 - \frac{8}{2} + 7^2[/tex]
Solve fraction
[tex]8 - \frac{m}{n} + p^2 = 8 - 4 + 7^2[/tex]
Take square of 7
[tex]8 - \frac{m}{n} + p^2 = 8 - 4 + 49[/tex]
Add result
[tex]8 - \frac{m}{n} + p^2 = 53[/tex]
The expression has been evaluated and the result of [tex]8 - \frac{m}{n} + p^2[/tex] is 53, provided that m = 8, n = 2 and p = 7
The composite figure is made up of a triangle, a square and a trapezoid find the area
===============================================
Work Shown:
P = area of triangle
P = 0.5*base*height
P = 0.5*5*4
P = 10 square units
----------------
Q = area of square
Q = side*side
Q = 5*5
Q = 25 square units
----------------
R = area of trapezoid
R = height*(base1+base2)/2
R = 5*(7+5)/2
R = 5*12/2
R = 60/2
R = 30
----------------
T = total area of the entire figure
T = P+Q+R
T = 10+25+30
T = 65 square units
Answer: 71 sq. units
Step-by-step explanation:
formula: 1/2bh + lw + 1/2h(b1+b2)
1/2(20) + (25) + 1/2 (6) (12)
10 + 25 + (3) (12)
10+ 25 + 36 = 71
Sarah is playing a game that requires each player to spin an arrow to one of four colors, equally divided: red, yellow, blue, or green. Three players before Sarah spun the arrow to yellow, but Sarah really wants her arrow to land on red. How is the probability of Sarah’s spin affected by the spins of previous players? 1. Sarah’s spin is an independent event and is therefore not affected by previous spins. 2. The probability of Sara landing on red increases but only slightly because of previous spins. 3. The probability of Sarah landing on red decreases significantly because the other players landed on yellow. 4. Sarah has a much higher probability of landing on red because the previous players landed on yellow.
Answer:
1. Sarah's spin is an independent event and is therefore not affected by previous spins.
Step-by-step explanation:
The the spins by the other players has no affect on Sarah's spin.
Eva invested $10,000 in a savings account. If the interest rate is 3.5%, how much will be in the account in 10 years by
compounding continuously? Round to the nearest cent.
Answer:
The total in the account after 10 years would be: $14,190.68
Step-by-step explanation:
Recall the formula for continuous compounding:
[tex]A=P\,e^{r\,t}[/tex]
where "A" is the accrued value after t years (what we need to find), "P" is the principal invested (in our case $10,000), "r" is the interest rate in decimal form (in our case r = 0.035), and "t" is the time in years (in our case t = 10). Therefore the formula becomes:
[tex]A=P\,e^{r\,t}\\A=10000\,\,e^{0.035\,*\.10}\\A=14190.68[/tex]
Therefore the total in the account after 10 years would be: $14,190.68
What is the slope of the line described by the equation below?
y- 9 = -2(x-8)
O A. 2
B. -2
C. -9
ОО
D. 9
SUBMIT
Answer:
B. -2
Step-by-step explanation:
If you distribute the -2, you can see that you have -2x. Your slope-intercept form y = mx + b tells you that mx is always your slope. Therefore, your answer is B.
Write 3 1/8 as an improper fraction!! TYSM if you try and/or do answer! ~Kweenie~
Answer:
25/8
Step-by-step explanation:
turn 3 into a fraction with the denominator (multiply by 8 to find the numerator)~ 24/8
add 1/8 to get 25/8
The fraction 3 1/8 when written as an improper fraction is 25/8
How to write the fraction as an improper fractionFrom the question, we have the following parameters that can be used in our computation:
Fraction = 3 1/8
When converted to an improper fraction, we have
Numerator = 3 * 8 + 1
Evaluate
Numerator = 25
The denominator remains the same
So, we have
Fraction = 25/8
Hence, the improper fraction is 25/8
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You get 3 rolls of coins from the bank. Each roll contains $5. You get 1 roll of each dimes, quarters & half dollars. How many coins does he have in all?
Answer:
80 coins
Step-by-step explanation:
dimes:5/0.1=50
quarters:5/0.25=20
half dollars: =5/0.5=10
50+20+10=80
Solve 2x + 4 > 16.
A. X>6
B. X> 10
C. x< 6
D. x<10
Answer:
x > 6
Step-by-step explanation:
2x + 4 > 16
Subtract 4 from each side
2x + 4-4 > 16-4
2x> 12
Divide by 2
2x/2 > 12/2
x > 6
Answer:
A. X>6
2 (7) + 4 > 16
14 + 4 > 16
18 > 16
f(x) = -7x3 + 6 and g(x) = -2x4 + 10, find (f - g)(-5).
Answer:
f(x) = -7x³ + 6
g(x) = -2x⁴ + 10
(f - g)(x) = -7x³ + 6 + 2x⁴ - 10
= 2x⁴ - 7x³ - 4
(f - g)(-5) = 2(-5)⁴- 7(-5)³- 4
= 1250 + 875 - 4
= 2121
Hope this helps.
What is the surface area of the triangular prism? A triangular prism. The rectangular sides are 24 feet by 40 feet, 40 feet by 15 feet, and 40 feet by 15 feet. The triangular sides have a base of 24 feet and height of 9 feet. 2,001 square feet 2,376 square feet 2,592 square feet 4,320 square feet
Answer:
Surface area of triangular prism is:
Surface area = 2376ft
Step-by-step explanation:
A triangular prism is the one which has 3 rectangular sides and 2 triangular sides. To find the surface area of a triangular prism, we have to find the surface area of 3 rectangular side and 2 triangular sides and add them up
Surface Area (rectangle) = Length · Width
Surface Area (triangle) = (1/2)(Base)(Height)
Rectangular side 1:
Length = 40 ft
Width = 24 ft
Surface Area = 40 · 24
Surface Area = 960ft
Rectangular side 2:
Length = 40 ft
Width = 15 ft
Surface Area = 40 · 15
Surface Area = 600ft
Rectangular side 3:
Length = 40 ft
Width = 15 ft
Surface Area = 40 · 15
Surface Area = 600ft
Triangular side 1:
Base = 24 ft
height = 9 ft
Surface Area = (1/2)(24)(9)
Surface Area = 108ft
Triangular side 2:
Base = 24 ft
height = 9 ft
Surface Area = (1/2)(24)(9)
Surface Area = 108ft
SURFACE AREA OF TRIANGULAR PRISM:
Add all surface areas found above
Surface area = 960 + 600 + 600 + 108 + 108
Surface area = 2376ft
Answer:
Answer:
(B) Surface area of triangular prism is:
Surface area = 2376ft
Step-by-step explanation:
A triangular prism is the one which has 3 rectangular sides and 2 triangular sides. To find the surface area of a triangular prism, we have to find the surface area of 3 rectangular side and 2 triangular sides and add them up
Surface Area (rectangle) = Length · Width
Surface Area (triangle) = (1/2)(Base)(Height)
