Answer:
10
Step-by-step explanation:
Square root of 74 is 8.6.
Using the pythagoras theorem,
7²+x²(half)=8.6²
49+x²(half)=74
x²=25, x=5
Now we found the half of x, we are going to add the other side which is 5+5=10
Write the quadratic equation in standard form:
5x^2+7+3x=-3x
Answer:
5x²+6x+7=0
Step-by-step explanation:
Yeah. I think it's the answer
Answer:
5x² + 6x + 7 = 0
Step-by-step explanation:
Standard form of quadratic equation :
Ax² + Bx + C = 0Solving :
5x² + 7 + 3x = -3x5x² + 7 + 3x + 3x = 05x² + 6x + 7 = 0If the cans are divided evenly among the shelves, how many cans are on each shelf?
Cans for sale: 1,200
Shelves of cans: 10
Rows per shelf: 6
To distribute 1,200 cans evenly among 10 shelves, with each shelf having 6 rows, we find that there are 120 cans on each shelf.
To find the number of cans on each shelf, we need to divide the total number of cans (1,200) by the total number of shelves (10) and the number of rows per shelf (6).
First, calculate the total number of cans in each shelf by multiplying the number of rows per shelf by the number of cans in each row:
Cans per shelf = Rows per shelf * Cans in each row
Cans per shelf = 6 * 200 = 1,200
Now, divide the total number of cans (1,200) by the total number of shelves (10):
Cans on each shelf = Total number of cans / Total number of shelves
Cans on each shelf = 1,200 / 10 = 120
So, there are 120 cans on each shelf when the cans are divided evenly among the shelves.
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Dewmini has two coconuts lands as A and B. A seller ask to have one coconut at Rs. 34. But Dewmini got Rs. 25 000 income by selling the coconuts from the land A each at Rs. 30 and the coconuts from land 8, each at Rs. 40. Income gain by land A is Rs. 5000 more than the income gain by land B. 1.By taking the number of coconuts from land A as x and the number of coconuts from land B as y, build up a pair of simultaneous equations 2. Solve them and find the number of coconuts sold by two lands separately. If coconuts sold as the way seller said, show that Dewmini can gain Rs. 500 more
[tex] \textsf{\qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
Volume of a rectangular prism is ~
[tex] \sf{Volume_{cuboid}= Length × Width × Height} [/tex]
[tex]\qquad \sf \dashrightarrow \: v = (4x + 2) \times (3x - 5) \times (7x + 4)[/tex]
[tex]\qquad \sf \dashrightarrow \: v = (12 {x}^{2} - 20x + 6x - 10) \times (7x + 4) [/tex]
[tex]\qquad \sf \dashrightarrow \: v = (12 {x}^{2} - 14x- 10) \times (7x + 4)[/tex]
[tex]\qquad \sf \dashrightarrow \: v = 84 {x}^{3} + 48 {x}^{2} - 98x {}^{2} - 56x - 70x - 40[/tex]
[tex]\qquad \sf \dashrightarrow \: v = 84 {x}^{3} - 50 {x}^{2} - 126x - 40[/tex]
So, the correct choice is B
One a 570-mile trip, George spent two more hours on the Interstate than on the highway. He averaged 75 mph on the Interstate and 65 mph on the highway. How many hours did he spend driving on the Interstate
George spend 5 hours driving on the Interstate if George spent two more hours on the Interstate than on the highway.
What is linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
Let's suppose the George spend x hours on the interstate and (x+2) hours on the highway.
570 = 75x + 65(x-2)
570 = 75x + 65x -130
700 = 140x
x = 5 hours
Thus, George spend 5 hours driving on the Interstate if George spent two more hours on the Interstate than on the highway.
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What number goes in the blank?
10, 25, 5, or 0
Answer:
25
Step-by-step explanation:
(x+5)(x+5) = x^2 + 10x + 25
Answer:
25
Step-by-step explanation:
The number that goes in the blank is 25.
The constant must have two factors that multiply to equal the constant and add to equal the coefficient.
HELP ME OUT NO SCAM OR ELSE!!!! I ONLY GOT 1 MIN!!!! 50 BRAINLY PTS
Answer:
The two middle ones
Step-by-step explanation:
The left windshield wiper on a Chevrolet Traverse cleans an area of 500.3in ^2.when in motion it has a cleaning pattern that arcs 98 degree . What is the length of the windshield wiper? Approximate the length to the nearest inch.
The length of the windshield wiper to the nearest inch is 24 inches
How to calculate the area of a sectorThe formula for calculating the area of a sector is given as:
A = r²β/2
r is the length of the wiper
β is the subtended angle
Given the following
A = 500.3 square in
β = 98 degrees = 98pi/180 = 49pi/90
Substitute
500.3 = r²49pi/180
500.3 = 153.86r²/180
153.86r² = 90054
r² = 585.298
r = 24.19
Hence the length of the windshield wiper to the nearest inch is 24 inches
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Is y=x(x+3) a linear function?
Step-by-step explanation:
No. If you distribute the 'x', you get:
[tex]y = {x}^{2} + 3x[/tex]
The function is quadratic due to the exponetial term of x^2
Please help me with these questions. Thank you.
Answer:
36 x⁸y⁶
√2/2
Step-by-step explanation:
Factor 1296 into its prime factors
1296 = 24 • 34
To simplify a square root, we extract factors which are squares, i.e., factors that are raised to an even exponent.
Factors which will be extracted are :
1296 = 24 • 34
No factors remain inside the root !!
To complete this part of the simplification we take the squre root of the factors which are to be extracted. We do this by dividing their exponents by 2 :
36 = 22 • 32
At the end of this step the partly simplified SQRT looks like this:
36 √(x¹⁶y¹²)
STEP2:Simplify the Variable part of the SQRT
Rules for simplifing variables which may be raised to a power:
(1) variables with no exponent stay inside the radical
(2) variables raised to power 1 or (-1) stay inside the radical
(3) variables raised to an even exponent: Half the exponent taken out, nothing remains inside the radical. examples:
√(x⁸)=x⁴
√(x^-6)=x^-3
Applying these rules to our case we find out that
SQRT(x¹⁶y¹²) = x⁸y⁶
Combine both simplifications
sqrt (1296x¹⁶y¹²) = 36 x⁸y⁶
Simplified Root : 36 x⁸y⁶
number 2)
3√2/3√4=
=3√2/3×2
=3√2/6
=3√2/6 ×3/3
=1√2/2
=√2/2
Verify if x > 1 is the solution to the inequality 7 - 4x > −2 (3x - 5).
Answer:
No, x>3/2
Step-by-step explanation:
Too lazy sorry.
Solve the following inequalities by expressing the solution in interval form and on the number line:
a)-9x+7>16+12x
b)18+13x<14x-11
2)a)-3 5/2 - 7/4 . 14/15+(-3/10)²:4/5-2.3/7
The value of x is from negative infinity to negative 3/7 and 29 to positive infinity.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
The inequality equations are given below.
a) - 9x + 7 > 16 + 12x
b) 18 + 13x < 14x - 11
Then
a) - 9x + 7 > 16 + 12x
Solving for x, we have
21x < -9
x < -3/7
The value of x is less than the negative of 3/7.
b) 18 + 13x < 14x - 11
Solving for x, we have
x > 29
The value of x is greater than 29.
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ST is tangent to OQ. What is m
Sum of the interior angle of any triangle must equal to 180 degrees thus :
[tex]53 + 90 + t = 180[/tex]
[tex]143 + t = 180[/tex]
[tex]t = 37[/tex]
Thus angle T has a measure of 37° .
Answer: 37
Explanation: Angle S is a right triangle because ST is tangent to circle Q.
180 - 90 - 53 = 37
A cube has a surface area of 96 square inches. If 16 cubes are combined to make a rectangular prism, what is the volume of the rectangular prism?
Answer:
1536
Step-by-step explanation:
A region with a 10-mile radius has a population density of about 1500 people per square mile. Find the number of people who live in the region to the nearest ten thousand.
The number of people who live in the region is about
.
The number of people who live in the region to the nearest ten thousand will be 942000.
What is population density?
The number of the people live in the given volume is known as the population density.
(r)Region radius= 10 miles
Population density= 1500 per square mile
The area of the region is found as;
A=2πR²
A= 2π(10 x 10)
A=2(3.14) (100)
A= 628 square miles
Population density= Population/Area
1500= Population / 628 square miles
Population = 1500 x 628
Population = 942000
Hence,the number of people who live in the region to the nearest ten thousand will be 942000.
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Please answer quickly! 50 POINTS! Brainliest!
A biologist created the following graph to show the relationship between the temperature of water (x), in degrees Celsius, and the number of insect larvae (y) in the water:
graph of y equals minus 2 times the square of x plus 20 times x plus 400
What do the x-intercepts of the graph represent? (5 points)
The water had no larvae at −10 degrees Celsius and 20 degrees Celsius.
There were 20 larvae in the water at 0 degrees Celsius.
The water had maximum larvae at −10 degrees Celsius and 20 degrees Celsius.
There were 10 larvae in the water at 0 degrees Celsius.
Answer:
The water had no larvae at −10 degrees Celsius and 20 degrees Celsius.
Step-by-step explanation:
We are given the function, [tex]y = -2x^{2} + 20x + 400[/tex]
where
x = temperature of water (in degrees)
y = number of insect larvae in water
What do the x-intercepts of the graph represent?
The x - intercept is when y = 0, and y is the number of insect larvae in the water. So this means there is NO insect larvae in the water.
[tex]y = -2x^{2} + 20x + 400\\0 = -2x^{2} + 20x + 400\\quadratic \ formula:\\\frac{-20 + \sqrt{20x^{2} -4(-2)(400)}}{2(-2)} \\\frac{-20 +\- 60}{-4} \\\frac{-20 + 60}{-4} = -10\\\frac{-20 - 60}{-4} = 20[/tex]
Hence, when there was no larvae in the water, the water temperature was 20 and -10
-1 and 5 represents the distance between
Answer:
betewwn them?
Step-by-step explanation:
On Friday, Beth sold 2 pitchers of lemonade from her lemonade stand. On Saturday, she sold 2 1/2 times as much lemonade as on Friday. How many pitchers of lemonade did Beth sell on Saturday
Answer:
She sold 5 pitchers of lemonade.
Step-by-step explanation:
She sold 2 on Friday and she sold 2 1/2 times that on Saturday so we have to do 2 x 2 1/2 in other words 2 x 2.5 which gives you 5.
:33333
What is the answer F, G, H or J
Answer:
G its G
Step-by-step explanation:
pls help, full explanation pls
Step-by-step explanation:
Apply exponent rule: (a. b)^n= a^n b^n
=3²(x¹⁰)²(y⁴)²
3²=9
=9(x¹⁰)²(y⁴)²
break =9(x¹⁰)²(y⁴)² into two
simplify (X¹⁰)² = (x²⁰)
simplify (y⁴)²=(y⁸)
=9(x²⁰)(y⁸)
Which table represents a linear function?
Answer:
B. Is linear
Step-by-step explanation:
if you graph it it’s a straight line going up
Hope this helps! ;-)
None shall sleep ellie marney theme
Answer:
“teenager protagonists confronting horror”
Step-by-step explanation:
Marney herself said that she wrote the story specifically about “teenager protagonists confronting horror” for a teenage audience to give them “comfort” and impart a powerful message: “you are strong enough to deal with this. You have been in far worse situations and survived.
Answer:
I love sleep
Step-by-step explanation:
Eddie worked 50 hours this week. He gets paid $12.00 per hour for the first 40 hours and
then gets double-time (2) for the rest of the time. How much money did he make this
week?
Answer:
720
Step-by-step explanation:
QUESTION 3 Simplify the following expression 3.1.1 Add:-4
x+6+11x - 5
Answer:
-24 + (-55) = -79
Step-by-step explanation:
-4x+6+11x - 5
Step-by-step explanation:
[tex] = x + 6 + 11x - 5[/tex]
Organize the expression....
[tex] = x + 11x + 6 - 5[/tex]
Simplify the expression...
[tex] = 12x + 1[/tex]
...
PLEASE HELP ITS A MATH PROBLEM Consider the following two functions:Which statement is NOT true?
Answer:
D) g(1) > f(1)Step-by-step explanation:
Compare the relevant values of functions. They are given in the table for function g(x) and on the graph for function f(x).
A) f(3) = 2, g(3) = 7 ⇒ f(3) < g(3), TRUEB) g(0) = 4, f(0) = 8 ⇒ g(0) < f(0), TRUEC) f(2) = 4, g(2) = 4 ⇒ f(2) = g(2), TRUED) g(1) = 3, f(1) = 6 ⇒ g(1) > f(1), Not TRUEAnswer:
g(1) > f(1)
Step-by-step explanation:
Based on the graph :
f(1) = 7 and g(1) = 3The statement is :
g(1) > f(1)3 > 7This is not trueok im super confused bc like it ask me put i dont know what to put.............pls help me
Answer:
u drag the green dot thing over to the coordinate (6,8)
Step-by-step explanation:
i put a black dot where i think ur supposed to drag the green dot to
what does the 0.3in the highlighted cell mean?
Answer:
it will be 30% in the highlighted cell
Step-by-step explanation:
hope this helps
1 in. = 2 ft. what is the area of the actual living room?
Answer:
........................
Answer:
[tex]144ft^{2}[/tex] (144ft^2)
Step-by-step explanation:
Since the living room is 6 inches by 6 inches, the formula of the living room can be seen as: [tex]6in^{2}[/tex]. And since each inch is equal to 2 feet, (6*2=12) we can turn the equation into: [tex]12ft^{2}[/tex]. 12 times 12 is 144, so the answer is [tex]144ft^{2}[/tex]
Can you use Third Angles Theorem to prove that two
are congruent? Explain your reasoning.
triangles
Answer:
The Third Angle theorem is not enough to prove that two triangles are congruent.
Step-by-step explanation:
It establishes that if two angles of one triangle are congruent with two angles of another triangle, then the third angles are also congruent. This indicates that the two triangles are similar but not identical.
Kent multiplies both sides of the equation below by an expression. k startfraction 12 over k endfraction = 8 then he moves all the terms to one side of the equal sign in the resulting equation. which equation must he solve now?
The resulting equation that Kent has when he moves all the terms to one side of the equal sign is k² - 8k + 12 = 0
What is quadratic equation?A quadratic function is a function that usually has a single variable and it is raised to the power of 2. An example is x² + 10x + 25 = 0
Given this equation: k + 12/k = 8
If both sides are multiplied by k, the equation becomes: k² + 12 = 8k
If all the terms are moved to one side of the equal sign: k² - 8k + 12 = 0
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Answer:
d
Step-by-step explanation:
edge
Put the numbers from least to greatest: .3, 2/3, .36, 35%, 1/3
Answer:
0.3, 1/3, 35%, 0.35, 2/3
Step-by-step explanation: