If they took 1 hour and 35 minutes to complete the test and finished at 1:20 they started at 11:45.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, The total time of the math test Raven took was 1 hour and 35 minutes.
Now he finishes the test at 1:20.
So, One hour before the time was 12:20.
20 minutes before that was exactly 12:00 and 15 minutes before that was
11:45 so a total of 1 hour and 35 minutes.
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Evaluate the power.
0.5² =
(Type a whole number or a decimal.)
For what value of x is g(x) = 2
Answer:
x = 2
Step-by-step explanation:
For the function g(x) to have to equal only 2, that would have to be for the input, x, to be 2 itself considering there's no equation given.
Hope this helps!
Select the best answer for the question.
19. What is the sum of 1/9 2/3, and 5/18?
O A. 4/15
O B. 12/9
O C. 8/30
O D. 19/18
Answer:
the answer Is D 19/18
1/9 +2/3=1/9+ 6/9 =7/9
7/9 +5/18= 14/18 + 5/18 = 19/18
what is the product of 3/4 of 4/5
Answer:
0.6
Step-by-step explanation:
3/4 of 4/5 is the same as asking: If you take 3/4 of 4/5, what do you get? Furthermore, 3/4 is 75 percent. Therefore, we are solving 75 percent of 4/5 when we are solving 3/4 of 4/5. To solve the problem, we start by labeling 3/4 of 4/5 like this: N1/D1 of N2/D2
Then we use this fraction of a fraction formula to solve the problem:
(N1 x N2) / (D1 x D2)
When we enter 3/4 of 4/5 into the formula, we get:
(3 x 4) / (4 x 5) = 12/20
Therefore, the answer to 3/4 of 4/5 in its lowest form is:
3/4 of 4/5 = 3/5
The answer above is 3/4 of 4/5 in fraction form. Below we have converted the response to a decimal form for you: 3/4 of 4/5 = 0.6
Hint: If you need to figure out a Fraction of Fraction problem like 3/4 of 4/5 in the future, remember that you get the answer by multiplying the numerator to and the denominator this is the same as multiplying the fractions together.
A candy company sells peanut brittle and almond bark. The information for both types of candy is shown.
graph labeled Peanut Brittle with x axis labeled weight in ounces and y axis labeled cost in dollars with a line from point 0 comma 0 going through 10 comma 10
Almond Bark
Weight (ounces) 4 12 16
Cost (dollars) 5 15 20
Determine how much more one candy costs per ounce than the other candy.
Almond bark costs $0.25 more per ounce than peanut brittle.
Peanut brittle costs $0.25 more per ounce than almond bark.
Almond bark costs $0.20 more per ounce than peanut brittle.
Peanut brittle costs $0.20 more per ounce than almond bark.
The correct option regarding the proportional relationships for the costs of the Peanut Brittle and for the Almond Bark are given as follows:
Almond bark costs $0.25 more per ounce than peanut brittle.
What is a proportional relationship?A proportional relationship is a special case of a linear function, with slope k and intercept 0, hence the output variable y is obtained with the multiplication of the input variable x and the slope k, as follows:
y = kx.
The Peanut Brittle graph goes through the point (10, 10), hence the constant, which is the price per candy, is obtained as follows:
10k = 10
k = 10/10
k = 1.
For Almond Bark, the price per candy is obtained as follows, from the table:
4k = 5
k = 5/4
k = 1.25.
Hence the difference of the prices is:
1.25 - 1 = $0.25.
Which means that the first option is correct.
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Answer:
Almond bark costs $0.25 more per ounce than peanut brittle.
Step-by-step explanation:
Kevin has $97,800 in a savings account that earns 2% interest per year. The interest is not
compounded. How much will he have in total in 4 months?
14 subtracted from the product of x and -3 is 25
Answer:
14-3x=25
Step-by-step explanation:
-3x=25+14
-3x=39
-3 -3
x = -13
100 POINTS WILL GIVE BRAINLYEST AND EVERYTHING!!!! What is the distance from (−7, −24) to (−7, 8)?
−32 units
−16 units
16 units
32 units
Answer:
D) 32 units==============
Given Two endpoints (- 7, - 24) and (- 7, 8)Find the distance between themSince both points have same x-coordinate, the distance between them is the difference of y-coordinates:
d = 8 - (- 24) = 8 + 24 = 32 unitsCorrect choice is D
Answer:
32 units
Step-by-step explanation:
[tex]\boxed{\begin{minipage}{7.4 cm}\underline{Distance between two points}\\\\$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$\\\\\\where $(x_1,y_1)$ and $(x_2,y_2)$ are the two points.\\\end{minipage}}[/tex]
Define the two given points:
Let (x₁, y₁) = (-7, -24)Let (x₂, y₂) = (-7, 8)Substitute the two points into the distance formula and solve for d:
[tex]\implies d=\sqrt{(-7-(-7))^2+(8-(-24))^2}[/tex]
[tex]\implies d=\sqrt{(-7+7)^2+(8+24)^2}[/tex]
[tex]\implies d=\sqrt{(0)^2+(32)^2}[/tex]
[tex]\implies d=\sqrt{32^2}[/tex]
[tex]\implies d=32[/tex]
Note: As the two given points have the same x-coordinate, the line segment (between the points) is a vertical line. Therefore, to find the distance between the two given points, simply calculate the difference between the y-coordinates:
[tex]\implies 8 - (-24) = 8+23=32[/tex]
Given the following function, the values of p and q are...
f(x)= 3x^2-x-4
A. p=1, q=3
B. p=4, q=3
C. p= -4, q= 3
D. p=3, q=-4
how should i explain this please help???
Answer:
An arithmetic sequence occurs when the difference between each term and the next is constant. Therefore, only addition or subtraction is possible. Also, the amount (4, in this case) must remain the same when added to each successive term.
Given that €1 = £0.75
a) How much is €530 in £?
b) What is the £ to €-exchange rate?
Answer: a.) 397.5 b.) 1.3333
Step-by-step explanation:
1 cent = £0.75
530 x 0.75 = 397.5
530 / 397.5 = 1.3333
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The following number is shown in expanded form:
1 1
4x1+8 x 100 + 9 × 1000
What is the decimal form of the number?
The decimal form of the number is :
9804.0
What is the decimal number?
Decimals are a form of a number in algebra that has a full integer and a fractional portion separated by a decimal point. The decimal point is the dot that separates the whole number from the fractional element of the number. A decimal number is, for instance, 34.5.
If the question is,
4x1+8 x 100 + 9 × 1000, then simplify it first
4x1+8 x 100 + 9 × 1000=4+800+9000=9804
So, the decimal form is :
9804.0
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Consider the equation and the following ordered pairs: (6,y) and (x,1).
y=−2x+5
The values of the variables x and y are 2 and -7.
We are given an equation. The equation is linear in nature. The equation represents a straight line. The equation is y = -2x + 5. We are given two sets of ordered pairs. The ordered pairs are (6, y) and (x, 1). These points satisfy the given equation. We need to find the values of the variables x and y. We will substitute the coordinates into the equation.
y = -2x + 5
First, we will put (6, y).
y = -2(6) + 5 = -12 + 5 = -7
Now, we will put (x, 1).
1 = -2x + 5
2x = 4
x = 2
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If f(x) = 3x and g(x)=1/x, what is the domain of (gof)(x)?
For the given functions f(x) = 3x and g(x) = 1/x then domain of
(gof)(x) =1/3x is all the real numbers excluding zero.
As given in the question,
Given functions are as follow:
f(x) = 3x
g(x) = 1/x
Now ,
(gof)(x)
= g(f(x))
Substitute f(x) = 3x in the above function we have,
=g(3x)
Replace the value of x by 3x in the given function g(x) we get,
= 1/ 3x
For x = 0 (gof)(x) =1/3x is undefined.
Domain include all the real numbers except zero.
Therefore, for the given functions f(x) = 3x and g(x) = 1/x then domain of (gof)(x) =1/3x is all the real numbers excluding zero.
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Find the value of x.
76
139
90°
X
63°
180°
41
90
The measure of the angle 'x' will be 41°. Then the correct option is c.
What is an angle?The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360 °.
Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.
The measure of the angles will be 76° and 63°.
By the property Supplementary angle, the equation is given as,
76° + x + 63° = 180°
Simplify the equation, then we have
x + 139° = 180°
x = 180° - 139°
x = 41°
The measure of the angle 'x' will be 41°. Then the correct option is c.
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Write the equation of a line passing through the point (6, 4) that is parallel to the line 2x + 3y = 9.
The equation of line parallel to 2x +3y = 9 and passing through the point (6,4) is 3y + 2x = 24
What is gradient ?Gradient or slope is the ratio of the change in y to the change in x between two points in a line.
Gradient tells how steep a line is. A perfectly vertical or horizontal line has no slope.
2x + 3y = 9
making y the subject,
3y = 9 - 2x
y = 9/3 -2x/3
Comparing the above equation, with equation of a straight line, y = mx + c
m, which is slope = -2/3
The new line will also have a slope of -2/3 because they are parallel.
Equation for new line,
y-[tex]y_{1}[/tex] / x - [tex]x_{1}[/tex] = slope
The new point is (6,4)
y - 4 / x -6 = -2/3
By cross multiplying
3(y-4) = -2(x - 6)
3y - 12 = -2x + 12
3y + 2x = 24
In conclusion, the equation o the new line is 3y + 2x = 24
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A bag of fertilizer covers 3000 square feet of lawn. Find how many bags of fertilizer should be purchased to cover a rectangular lawn 290 feet by 170 feet. To cover the lawn bags of fertilizer are required
Answer: The correct answer is 17 bags of fertilizer to cover the lawn
Step-by-step explanation:
1 bag of fertilizer covers 3000 SF of lawn
How many bags are needed for an area of 290 feet x 170 feet
Calculate the Square Feet:
290 x 170 = 49,300 SF
Divide space (SF) by bag coverage (SF):
49,300 / 3,000 = 16.43 bags of fertilizer
Round up answer to 17 bags of fertilizer
plseas help
There are 7 students in grade 11 and 15 students in grade 12 that are part of the VSS robotics club. A committee consisting of a president, vice president, media rep, and accountant is being chosen.
a. In how many ways could the panel be chosen if the president and vice president must be from different grades?
b. In how many ways could the panel be chosen if it must include at least one grade 11 student and at least one grade 12 student?
The number of ways to form the committees, using the Fundamental Counting Theorem, are given as follows:
a) President and vice from different grades: 79,800.
b) At least one from each: 141,960.
What is the Fundamental Counting Theorem?It is a theorem that states that if there are n independent trials, each with [tex]n_1, n_2, \cdots, n_n[/tex] possible results, the total number of outcomes is calculated by the multiplication of the factorials as presented as follows:
[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]
For item a, there are two possible cases for the parameters, as follows:
[tex]n_1 = 7, n_2 = 15, n_3 = 20, n_4 = 19[/tex]: President from grade 11, vice from grade 12, the remaining two roles can be chosen from any student.[tex]n_1 = 15, n_2 = 7, n_3 = 20, n_4 = 19[/tex]: President from grade 12, vice from grade 11, the remaining two roles can be chosen from any student.Hence the number of ways is:
N = 7 x 15 x 20 x 19 + 15 x 7 x 20 x 19 = 79,800.
For item b, the total number of outcomes is obtained as follows:
N = 22 x 21 x 20 x 19 = 175,560.
The number of outcomes with only grade 11 students is:
N = 7 x 6 x 5 x 4 = 840.
The number of outcomes with only grade 12 students is:
N = 15 x 14 x 13 x 12 = 32760.
Hence the number of students with at least one of each is:
N = 175,560 - (840 + 32,760) = 141,960.
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factorise fully 8x^2-4x
Answer:
4x(2x−1)
Step-by-step explanation:
[tex] {8x}^{2} - 4x[/tex]
Factor out 4.
[tex]4( {2x}^{2} - x)[/tex]
Consider
[tex] {2x}^{2} - x[/tex]
Factor out x.
x(2x−1)
Rewrite the complete factored expression.
=4x(2x−1)
Find all intervals on which the function f(x) = (e^(2x^2+5)/-6x is decreasing.
The function f(x) is decreasing on the interval x∈(1/2,∞) and all the real values.
What is meant by a function?A function from a set X to a set Y in mathematics assigns to each element of X exactly one element of Y. The domain of the function is the set X, and the codomain of the function is the set Y.
The first known approximation to the concept of function is attributed to the Persian mathematicians Al-Biruni and Sharaf al-Din al-Tusi. Functions were originally idealistic representations of how one variable quantity depended on another. The location of a planet, for example, changes throughout time. Historically, the concept was formed with infinitesimal calculus near the end of the 17th century, and the functions that were analyzed were differentiable until the 19th century.
Given function,
f(x)=[tex]e^{2 x^{2} +5}[/tex]/-6x
f'(x)=-1/6x([tex]e^{2 x^{2} +5}[/tex])(4x)+[tex]e^{2 x^{2} +5}[/tex](1/6x²)
=[tex]e^{2 x^{2} +5}[/tex]/6x((1/x)-4x)
f'(x)=0
((1/x)-4x)=0
1-4x²=0
4x²=1
x=±1/4
Given that, f(x) is decreasing function then,
f'(x)<0
((1/x)-4x)<0
(1-4x²)/x<0
1-4x²<0
1<4x²
1/4<4x²
x²>1/4
x>1/2
x∈(1/2,∞)
Hence, f(x) is decreasing on the interval x∈(1/2,∞)
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Which of the following are less than -0.625
Answer: The answer is A
Step-by-step explanation:
-5/8 is literally equal to -0.625 meaning this asnwer is equal not less
-0.5 is Greater than -0.625 because -0.6 is much larger
-8/5 is -1.6 which is Less than -0.625
PLEASE HELP ASAP!!! I WILL MARK YOU YOU BRAINLIEST
Which equations are true equations?
Select all correct answers.
39-3-6 6-10 +4
56 +8+3² - 2.2³
=
24
04-50-6²-8
82 5² 4² - 7
=
-
-
Answer:
C and A
Step-by-step explanation:
Between which two consecutive integers is [tex]\sqrt{201}[/tex]
Answer:
14 and 15
Step-by-step explanation:
[tex]196<201<225 \\ \\ \sqrt{196}<\sqrt{201}<\sqrt{225} \\ \\ 14<\sqrt{201}<15[/tex]
2a × ( 3 + b ) = 6a + 2ab is an example of the property
Answer:
It's an example of the distributive property
6. Solve for y. 12y - 10 = 14y
02
0 5
O-5
O-2
Answer:
can you pls clear your questions?
The sum of m and ten multiplied by 4
Answer:
4(m+10)
Step-by-step explanation:
sum is adding
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PLEASE HURRY I WANT TO FINISH MY TEST AND I NEED THE ANSWER!!
Determine which integer will make the inequality 2(n + 2) < 5(n − 1) true.
The value to make the inequality true is n > 3
InequalityInequality, In mathematics, a statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.
We need to solve this problem and determine what value will solve this problem.
2(n + 2) < 5(n - 1)
2n + 4 < 5n - 5
Collect like terms
4 + 5 < 5n - 2n
9 < 3n
3n > 9
n > 3
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Given that logb(7)≈1.946, logb(9)≈2.197, and logb(16)≈2.773, find the logarithm of logb(1/63)
b is base b
The logarithmic expression given as logₙ(1/63) has its value to be -4.143
How to determine the logarithmic expression?From the question, the given parameters are
logₙ(7) = 1.946
logₙ(9) = 2.197
logₙ(16) = 2.773
The logarithmic expression to calculate is given as
logₙ(1/63)
Express 1/63 as 1/7 * 1/9
So, we have the following representation
logₙ(1/63) = logₙ(1/7 * 1/9)
Apply the product of logarithm
This gives
logₙ(1/63) = logₙ(1/7) + logₙ(1/9)
Apply the exponent of logarithm
This gives
logₙ(1/63) = -logₙ(7) - logₙ(9)
Substitute logₙ(7) = 1.946 and logₙ(9) = 2.197 in logₙ(1/63) = -logₙ(7) - logₙ(9)
logₙ(1/63) = -1.946 - 2.197
Evaluate
logₙ(1/63) = -4.143
Hence, the value of the logarithmic expression is -4.143
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A medic's bag contains individually wrapped tongue depressors (each costing 4 cents) and Band-Aids (each costing 8 cents). If the materials are worth $12.48 and there are 184 individual packages in total, how many tongue depressors and Band-Aids are there?
The total number of tongue depressors and Band-Aids are 56 and 128 respectively.
What is linear equation?A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept.
Given that, a medic's bag contains individually wrapped tongue depressors (each costing 4 cents) and Band-Aids (each costing 8 cents). If the materials are worth $12.48 and there are 184 individual packages in total,
Let the number of wrapped tongue depressors be w and that of Band-Aids be b,
Therefore,
w+b= 184
0.04w+0.08b = 12.48
w+2b = 312
On solving the equation, by elimination method, we get,
b = 128
Therefore, w+128 = 184
w = 56
Hence, the total number of tongue depressors and Band-Aids are 56 and 128 respectively.
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Question as shown in the image:
Answer:
arc ABC ≈ 18.2 cm
Step-by-step explanation:
the length of the arc ABC is calculated as
arc = circumference of circle × fraction of circle
the angle around the centre O is 360° , then
angle subtended by arc = 360° - 100° = 260°
then
arc = 2πr × [tex]\frac{260}{360}[/tex] ( t is the radius = 4 )
= 2π × 4 × [tex]\frac{26}{36}[/tex]
= 8π × [tex]\frac{13}{18}[/tex]
= [tex]\frac{8\pi (13)}{18}[/tex]
≈ 18.2 cm (to 3 significant figures )