Answer:
Step-by-step explanation:
-7q+12r=3q-4r
-10q=-16r
r=(5/8)q
I think its correct
Answer:
r = 5/8(q)
Step-by-step explanation:
−7q + 12r = 3q − 4r
Add 4r to both sides:
−7q + 12r + 4r = 3q − 4r + 4r
−7q + 16r = 3q
Add 7q to both sides:
−7q + 16r + 7q = 3q + 7q
16r = 10q
Divide both sides by 16:
(16r)/16 = (10q)/16
r = 5/8(q)
A regular square pyramid has a slant height of 5 in and a base area of 49 in2. Find the surface area of the pyramid. ------------------------------------------------------------------------------------------- 171.5 square inches 70 square inches 119 square inches 245 square inches
Answer:
C: 119 square inches
Step-by-step explanation:
We are given;
Slant height; L = 5 in
Base area; B = 49 in²
Since it's a square pyramid, the base portion has a square shape.
Thus, area of base = x²
Where x is a side of the square.
Thus;
x² = 49
x = √49
x = 7
Perimeter of base = 7 × 4 = 28 in
Area of pyramid = ½PL + B
Plugging in the relevant values;
Area of pyramid = (½ × 28 × 5) + 49
Area of pyramid = 119 in²
NEED some HElp please
Explain why the amount of money in the account at the end of the first year is given by the formula with n as the exponent:
P = P∨0 (1 + r/n)^n
Answer:
Is this answer correct.Does the anwer help you
m. Proportions
1) Write a proportion for the situation, then solve the
proportion to answer the question.
nation:
a. A 6 foot high fence casts a 7 foot shadow.
Standing beside the fence is a tree that casts a
31.5 foot shadow. How tall is the tree?
Answer:
height of tree is 27 ft
Step-by-step explanation:
The corresponding parts of the problem are in proportion
let h be the height of the tree , then
[tex]\frac{6}{h}[/tex] = [tex]\frac{7}{31.5}[/tex] ( cross- multiply )
7h = 189 ( divide both sides by 7 )
h = 27
Height of tree is 27 feet
On the coordinate plane, point P is located at (3, y) and point Q is located at (1, -4). The distance between
points P and Q is 29 units.
What are the two possible values of y?
Answer:
y = 23, -31
Step-by-step explanation
ttyl
What is the expected value?
Answer:
2.1
Step-by-step explanation:
The expected value of a probability is given by the formula:
E(x) = Σxp(x)
Therefore from the table showing the winnings of a game, the expected value of the probability distribution is:
E(x) = Σxp(x) = (0 * 0.5) + (2 * 0.2) + (4 * 0.15) + (6 * 0.1) + (10 * 0.05)
E(x) = 0 + 0.4 + 0.6 + 0.6 + 0.5 = 2.1
Hence we can conclude that the expected value of the winnings of the game is 2.1.
Find the area of the shaded regions:
Answer:
18[tex]\pi[/tex]
[tex]\frac{80}{360} * 81 \pi[/tex]
Step-by-step explanation:
5x2y and 7xy2 are like terms.
True
False
Answer: False
The variable portions x^2y and xy^2 are slightly different, so that's why we don't have like terms here.
Answer:
False
Step-by-step explanation:
Like terms are those terms where they have the same variable
so here
5x2y variables are = 5x and 2y
7xy2 variables are = 7x and y2
you can observe that x variable is same but y variable is not same as 5x3y have 2y whereas 7xy2 have y2#
so the answer is FALSE
Please help: 6m - m = 5/6(6m - 10)
Will mark brainliest!!
Answer:
No solution.
Step-by-step explanation:
[tex]6m-m=\frac{5}{6}(6m-10)\\5m=5m-\frac{25}{3}\\0\neq -\frac{25}{3}[/tex]
Therefore, there is no solution.
Simplify: squrt 18x⁷
Answer:
3x^3 ⋅ √2x
Step-by-step explanation:
1. write it on a piece of paper
[tex]\\ \sf\longmapsto 1\dfrac{1}{2}+2\dfrac{3}{4}[/tex]
[tex]\\ \sf\longmapsto \dfrac{3}{2}+\dfrac{11}{4}[/tex]
[tex]\\ \sf\longmapsto \dfrac{6+11}{4}[/tex]
[tex]\\ \sf\longmapsto \dfrac{17}{4}[/tex]
2:-
[tex]\\ \sf\longmapsto 4\dfrac{3}{7}+6\dfrac{1}{5}[/tex]
[tex]\\ \sf\longmapsto \dfrac{31}{7}+\dfrac{31}{5}[/tex]
[tex]\\ \sf\longmapsto \dfrac{155+225}{35}[/tex]
[tex]\\ \sf\longmapsto \dfrac{380}{35}[/tex]
[tex]\\ \sf\longmapsto 12[/tex]
3:-
[tex]\\ \sf\longmapsto 4\dfrac{2}{5}+5\dfrac{2}{6}[/tex]
[tex]\\ \sf\longmapsto \dfrac{22}{5}+\dfrac{32}{6}[/tex]
[tex]\\ \sf\longmapsto \dfrac{132+160}{30}[/tex]
[tex]\\ \sf\longmapsto \dfrac{292}{30}[/tex]
4:-
[tex]\\ \sf\longmapsto 3\dfrac{7}{7}+3\dfrac{1}{3}[/tex]
[tex]\\ \sf\longmapsto \dfrac{28}{7}+\dfrac{10}{3}[/tex]
[tex]\\ \sf\longmapsto 4+\dfrac{10}{3}[/tex]
[tex]\\ \sf\longmapsto \dfrac{12+10}{3}[/tex]
[tex]\\ \sf\longmapsto \dfrac{22}{3}[/tex]
[tex] \bf \large \longrightarrow \: \: 1 \frac{1}{2} \: + \: 2 \frac{3}{4} \: = \: \\ [/tex]
[tex] \bf \large \longrightarrow \: \: \frac{3}{2} \: + \: \frac{11}{4} \\ [/tex]
[tex] \bf \large \longrightarrow \: \: \frac{6 \: + \:11 }{4} \\ [/tex]
[tex] \bf \large \longrightarrow \: \: \frac{17}{4} \\ [/tex]
2.[tex]\bf \large \longrightarrow \: \: 4 \frac{3}{7} \: + \: 6 \frac{1}{5} \\ [/tex]
[tex]\bf \large \longrightarrow \: \: \frac{31}{7} \: + \: \frac{31}{5} \\ [/tex]
[tex]\bf \large \longrightarrow \: \: \frac{155 \: + \: 217}{35} \\ [/tex]
[tex]\bf \large \longrightarrow \: \: \frac{372}{35} \\ [/tex]
3.[tex]\bf \large \longrightarrow \: \: 4 \frac{2}{5} \: + \: 5 \frac{2}{6} \\ [/tex]
[tex]\bf \large \longrightarrow \: \: \frac{22}{5} \: + \: \frac{32}{6} \\ [/tex]
[tex]\bf \large \longrightarrow \: \: \frac{132 \: + \: 160}{30} \\ [/tex]
[tex]\bf \large \longrightarrow \: \: \frac{292}{30} \\ [/tex]
4.[tex]\bf \large \longrightarrow \: \: 3 \frac{7}{7} \: + \: 3 \frac{1}{3} \\ [/tex]
[tex]\bf \large \longrightarrow \: \: \frac{28}{7} \: + \: \frac{10}{3} \\ [/tex]
[tex]\bf \large \longrightarrow \: \: \cancel\frac{28 ^{4} }{7 \: ^{1} } \: + \: \frac{10}{3} \\ [/tex]
[tex]\bf \large \longrightarrow \: \: \frac{4}{1} \: + \: \frac{10}{3} \\ [/tex]
[tex]\bf \large \longrightarrow \: \: \frac{12 \: + \: 10}{3} \\ [/tex]
[tex]\bf \large \longrightarrow \: \: \frac{22}{3} \\ [/tex]
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
The median of the lower half of the data set is the _____________.
A. Third quartile
B. First quartile
C. Fourth quartile
D. Second quartile
Answer:
B. First quartile
Step-by-step explanation:
The first quartile is the first 25% of a line graph, and the median of the lower half of a data set would be the median of the median, which means it would split the graph at 25%
When leaving a town, a car accelerates from 30 kmh-1 to 60 kmh-1 in 5 s. Assuming the
acceleration is constant, find the distance travelled in this time.
A. 6 m
B. 62.5 m
C. 41.7 m
D. 20.8 m
Answer:
B .62.5 m
Step-by-step explanation:
convert Kmh-1 in to ms-1
30 Kmh-1 = (30×1000) ÷3600 = 8.3ms-1
60 Kmh-1 = (60×1000) ÷3600 = 16.6 ms-1
acceleration = (16.6 - 8.3) ÷ 5 = 1.66 ms-2
V^2 = U^2 +2aS
(16.6)^2 = (8.3)^2 + 2×1.66 ×S
S = 62.5 m
provisions for 630 men to last for 25 days. How many men must be transferred to another camp so that the food lasts for 30 days?
Answer:
105
Step-by-step explanation:
25 days = Food for 630 men
30 days = x (Inverse variation)
30 * x = 630 * 25
x = 630 * 25/30
= 21 * 25
= 525 men.
630 - 525 = 105 men.
Therefore, 105 men must be transferred to another camp so that the food lasts for 30 days.
I will be marking brainliest please help me with these questions.
Answer/Step-by-step explanation:
1. To find the area of the shaded region, you'd find the area of the white rectangular shape, next, find the area of the whole triangular shape, then find the difference of their areas to get the area of the shaded region. Thus, the formula to use would be:
Area of shaded region = area of triangle - area of rectangle
Area of shaded region = ½*base*height - length*width
1. a. Volume of triangular prism = area of triangular base * height of prism
Volume of triangular prism = ½bh * H
Where,
b = 6 m
h = 4 m
H = 8 m
Substitute
Volume of prism = ½*6*4*8
Volume of prism = 96 m³
b. Volume of sphere = ⁴/3πr³
Where,
r = 9 cm
Substitute
Volume = ⁴/3*π*9³
Volume = ⁴/3*π*729
Volume ≈ 3,053.6 cm³ (nearest tenth)
2. Use Pythagorean theorem to find the height of the cone
radius of the cone (r) = ½(16) = 8 cm
Slant height (l) = 11 cm
height (h) = ?
Using Pythagorean theorem, we have:
h = √(l² - r²)
Substitute
h = √(11² - 8²)
h = √(57)
h ≈ 7.5 cm (nearest tenth)
b. Volume of the cone = ⅓πr²h
where,
r = 8 cm
h = 7.5 cm
Volume = ⅓*π*8²*7.5
Volume = 502.7 cm³ (nearest tenth)
if you have 500 dollars and spend 20 every week then what would be the slope explain
Answer:
y=-20m+500
Step-by-step explanation:
Instructions: Find the missing side. Round your answer to the nearest
tenth.
15
66°
х
x
=
Answer:
x = 16.4
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp / hyp
sin 66 = 15/x
x sin 66 = 15
x = 15/sin 66
x=16.41954
Rounding to the nearest tenth
x = 16.4
HELP ILL GIVE U BRAINLIEST
Answer:
-6 33/40
Step-by-step explanation:
[tex]2\frac{5}{8} = 2.625\\-2\frac{3}{5} = 2.6\\\\2.625 *-2.6 = -6.825\\\\-6.825 = -6\frac{33}{40}[/tex]
HELP DUE IN 10 MINUTES
Answer:
Step-by-step explanation:
For Part A, use the pythagorean theorem to find the height, which ca be found by finding one length of the leg. Using the imaginary bisector, you can determine one of the legs is 5 cm, and the hypotenuse is 13 cm
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse. Plug in the values to solve for one leg, you get 25+b^2=169
Solve algebraically, b^2= 144, so b=12, which is the height.
Part B
Determine the surface area of each cardboard piece, and add together.
20 × 13 × 2 = 520
1/2 × 10 × 12 × 2 = 120
20 × 10 = 200
So approximately 840 cm of cardboard was used
9 in.
13 in.
10 in
Drawing not to scale
b. 90 in?
45 in?
d. 292.5 in.
c. 32 in?
a.
Answer:
a, a, d
Step-by-step explanation:
44
The area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )
Here b = 10 and h = 9 , then
A = [tex]\frac{1}{2}[/tex] × 10 × 9 = 5 × 9 = 45 in² → a
45
The area (A) of a parallelogram is
A = bh ( b is the base and h the perpendicular height )
Here b = 2 and h = 4 , then
A = 2 × 4 = 8 m² → a
46
A = bh ( with b = 4 and h = 10 )
A = 4 × 10 = 40 m² → d
If 12 out of 30 fruits are oranges, how many oranges fruits will there be per 100 fruits total?
Answer:
40 oranges are there in 100 fruites.
i need help anybody ?
Answer and Step-by-step explanation:
Simply use the Pythagorean Theorem to solve.
The Pythagorean Theorem is used to solve for a side in right triangles.
[tex]A^{2} +B^{2}= C^{2}[/tex]
Plug the sides values into the equation.
[tex]A^{2} + 13^2 = 20^2\\\\A^2 + 169 = 400\\\\A^2 = 231\\\\A = 15.1987[/tex]<- This is the answer.
#teamtrees #PAW (Plant And Water)
What is the difference between-5 and 2
Answer:
7
Step-by-step explanation:
Going from -5 to 2 we get
1) -4
2) -3
3) -2
4) -1
5) 0
6) 1
7) 2
So, in total, there are 7 numbers between -5 and 2
HELP QUICK ILL GIVE BRAINLIEST
Answer:
here's the answer to your question
Answer: √18
√(4-1)^2 + (5-2)^2
√9 + 9
√18
Answered by Gauthmath must click thanks and mark brainliest
if u can help be fast please
A) 5 sides = 72.00
interior =108.00
B) 9 sides = 40.00
interior = 140.00
C) 15 sides = 24.00
interior = 156.00
D) 19 sides = 18.95
interior = 161.05
These are exterior angles right? y'know what I'll just put both
I met this hella weird cryptic dude who interviewed me and gave me this puzzle. Solve it within 12 hours and ill let you know what he says. Row zero (0) must be solved.
Your final code should contain nine (9) letters, and one (1) number. The number two (2) has been given to you as the first character in your final code.
Disclaimer: This code is foreign, meaning it is not a word or sentence from any language. It is a string of specific characters. You will be given a second, simpler cipher to decrypt that reads "graph." It has already been solved for you. Understanding how this smaller chart produces "graph" will grant you the deciphering method used for the large cipher.
This cipher must be completed at maximum twenty-four (24) hours from reception. Failure to complete in this time will result in re-calibration via interviewing, not disqualification, should you (as a participant) wish to continue.
To validate this code, or request further clarification, refer to this account.
Speaking to any personnel regarding the cipher without supervision is strictly prohibited, and will result in disqualification.
HINTS:
"^," or Carrots, signify a capitalized letter in the string. Capitalization matters.
Everything you need to complete this cipher is given here.
Only very basic math was used to encrypt this key (Multiplication and Division).
You are not allowed to ask others for help without the supervision of the employment center. We will know if you've leaked, or gave any information out regarding this Cipher. We are entrusting you with it.
Best of luck
no cheating thanks <3
f(x) = (x - 5) (2x - 7) (7x - 3) has zeros at x = -3.5, x = 3/7, and x = 5.
what is the sign of f on the interval 3/7 < x < 5 ?
1. f is always positive on the interval.
2. f is always negative on the interval.
3. f is sometimes positive and sometimes negative on the interval.
The function f(x) will be sometimes positive and sometimes negative on the interval so option (3) will be correct.
What is a function?
A certain kind of relationship called a function binds inputs to essentially one output.
In other terms, a function is a relationship between variables, and the type of relationship that exists between the variables defines the function, such as y = sinx and y = x +6.
Given function is
f(x) = (x - 5) (2x - 7) (7x - 3)
The term (x - 5) will be negative if x < 5.
The term (2x - 7) will be negative if x<3.5
Let's say if x = 4 then (x - 5) will be negative but (2x - 7) will be positive and hence overall value will be negative.
But if x = 3 then (x - 5) will be negative and (2x - 7) will also be negative and hence overall value will be negative
Hence the function f is sometimes positive and sometimes negative on the interval.
For more about the function
brainly.com/question/23712366
#SPJ5
Answer:
always negative the other guy was wrong because when you wrote 2x - 7 you meant 2x + 7 I know this because it’s on Khan Academy
Step-by-step explanation:
I need help please slope
Answer:
Step-by-step explanation:
The formula for slope is y2-y1/x2-x1 where y2 and x2 are the x and y coordinates from a coordinate pair and y1 and x1 are the coordinates from another coordinate pair. In this case, 2 coordinate pairs are given: (30,75) and (10, 35) 75-35/30-10 would be your slope, or, 40/20, or simplified, 2.
Your slope is 2
complete the square x^2+45=-14x
Find the value of x for which (4/5)-4 X(4/5)-7 = (4/5)2x-1
Answer:
0.8 -4*0.8-7=0.8*2x-1
0.8-3.2-7=1.6x-1
0.8-10.2+1=1.6x
1.8-10.2=x1.6
-8.4=x 1.6
x= -8.4 / 1.6
x= - 5.25
Does the point (2, 6) lie on the circle shown? Explain.
O Yes, the distance from (3, 0) to (0, ) is 3 units.
O Yes, the distance from (0, 0) to (2, V6) is 3 units.
O No, the distance from (3, 0) to (2, 6) is not 3 units.
O No, the distance from (0, 0) to (2, 6) is not 3 units.
Answer:
A.
Step-by-step explanation:
the square root of 6 is roughly 1.57
so that means the ordered pair would read (2,1.57).
if you were to plot that point it would be on the circle.
Also the distance from the origin (0,0) to (3,0) is 3 units
We will see that the correct option is:
"No, the distance from (0, 0) to (2, 6) is not 3 units."
Does (2, 6) lie on the circle shown?
We know that the circle has a radius of 3 units, then we need to see if the distance between (0, 0) and (2, 6) is 3 units.
Here we have:
[tex]D = \sqrt{(6 - 0)^2 + (2 - 0)^2} = \sqrt{36 + 4} = \sqrt{40} \neq 3[/tex]
So the distance between (0, 0) and (2, 6) is different than 3 units, meaning that the point is not in the circle.
If you want to learn more about circles:
https://brainly.com/question/1559324
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