4x2 - 14 + y - (8 + 13)
What is the value of the expression when x = 4 and y = 7?
OA. 67
OB. 9
Oc. 41
OD. 35
Answers
Related Questions
The equation d = rt relates distance, rate, and time. A turtle walked 400 feet
in 10 minutes. What was the turtle's speed?
Answers
Answer:
Step-by-step explanation:
d = rt....and just so you know, speed is the same as rate
since we are looking for r, I am gonna change the equation
d = rt......r = d / t
d = 400
t = 10
now sub
r = d / t
r = 400/10
r = 40 ft per minute <=====
Answer: 40 per minute
Step-by-step explanation:
If m varies directly with n.
and m = 20 when n = 5.
what is it m= 18?
Answers
So multiply by 3
M=18 n=7.5
A group of students rolled two number cubes 107 times and recorded a sum of seven 10 times. Find the experimental probability of rolling a sum of seven. Write your answer with a % sign without any spaces rounded to the nearest percent. x
Answers
Probability is the calculation of = (desired outcomes/total outcomes)
therefore,10/107).
When constructing a graph that compares the land areas of the five largest countries, you choose to depict the five areas with squares of different
sizes. If the squares are drawn so that the areas are in proportion to the areas of the corresponding countries, is the resulting graph valid? Why or why
not?
Answers
The resulting graph is valid as it uses the concept of area scaling, where the area of each square accurately represents the relative land sizes of the different countries.
Explanation:Yes, the resulting graph is valid. This is because a proportional representation by different-sized squares aligns with the principle of area scaling. Area scaling is a mathematical concept where each length is scaled by a particular factor and the area will scale by the square of that factor. If the areas of the countries are correctly scaled to the squares, then the graph accurately represents the relative sizes of the land areas of the five largest countries.
For example, if country A is twice as big as country B, the square representing country A should have an area that is four times (2^2) the area of the square representing country B. Vice versa, if country C is half the size of country D, the square for country C should have an area that is a quarter of the square for country D. Therefore, through area scaling, each country will be proportionately represented on the graph.
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CAN SOMEONE PLEASE HELP ME WITH THIS QUESTION???
A typical traffic signal is programmed on a timer so that it is red 50% of the time, green 42% of the time, and yellow 8% of the time. The bulbs for each color are LED and are designed to last 100,000 hours. How many years does each color light last? Give your answer in years and months (rounded to the nearest month). What is the problem asking? What do we know? How did you solve the problem? Explain your steps.
Please answer this question for me
Answers
Answer:
The complete answer is explained below.
Step-by-step explanation:
The problem is demanding to simply determine the number of years each color light would last.
We know the following information from the question:
As it is clear that a red light remains TURNED ON 50% of the time.Green remains TURNED ON 42% of the timeYellow remains TURNED ON 8% of the time.Also the bulbs for each color are LED and are designed to last 100,000 hours. So, each light does last 100,000 hours.
lets make conversions
As
[tex]1\:day\:=\:24\:hours[/tex]
[tex]1\:year\:=\:365\:days[/tex]
Dividing [tex]100,000[/tex] hours by [tex]24[/tex] hours would bring [tex]4166.67[/tex] days
Dividing [tex]4166.67[/tex] days by [tex]365[/tex] days would bring [tex]11.4[/tex] years, meaning 11 years and 4 months.
Keywords: light, conversion, day, hours
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three sets of the sum of a number and four are added to the sum of seven times the same number and thirteen
Answers
The algebraic expression for given statement is: 10x + 25 or 3(x + 4) + (7x + 13)
Solution:
Given the statement:
Three sets of a sum of a number and four are added to the sum of seven times the same number and thirteen
Let us first understand the given statement,
Let the number be "x"
" sum of a number and four" means x + 4
"Three sets of a sum of a number and four" translated to 3(x + 4)
"sum of seven times the same number and thirteen" means 7x + 13
Thus the algebraic expression for given statement is:
[tex]3(x+4)+(7x + 13)[/tex]
Using distributive property in above expression
[tex]a(b+c) = ab + bc[/tex]
Therefore,
[tex]3(x+4)+(7x + 13) = 3x + 12 + 7x + 13[/tex]
Combine the like terms
[tex]3(x+4)+(7x + 13) = 10x+25[/tex]
Thus the required expression for given statement is: 10x + 25 or 3(x + 4) + (7x + 13)
What is the solution to the following equation?
х+11 = 24
А. x = 13
B.х = 35
C. х = 17
D. x = 29
Answers
Answer:
A. x=13
Step-by-step explanation:
[tex]x + 11 = 24 \\ x = 24 - 11 \\ x = 13[/tex]
what is the answer?
Answers
Answer:
when multiplying polynomials you want to times the coefficients but add the exponents
(-7a^4b^1c^3)(5a^1b^4c^2) (if there isn't an exponent then it is 1)
-7*5=-35
a^4*a^1=a^5
b^1*b^4=b^5
c^3*c^2=c^5
Your answer would be
-35a^5b^5c^5
Hope this helps ;)
A cone has a radius of 1.2 and a height of 2.9 inches. What is the volume, to the nearest tenth of a cubic inch, of the cone?. Explain or show ur work?
A. 3.6
B. 4.4
C. 10.6
D. 13.1
Answers
Answer:
4.4 cubic inches
Step-by-step explanation:
From the question;
Radius of the cone is 1.2 inchesHeight of the cone is 2.9 inchesWe are required to determine the volume of a cone;
Volume of a cone is given by the formula;
V=1/3πr²h
Therefore; taking π to be 3.142
Volume =1/3 × 3.142 × 1.2² × 2.9
= 4.373664
= 4.4 cubic inches (to the nearest tenth)
Thus, the volume of a cone is 4.4 cubic inches
What is 400 times 1/4
Answers
Answer:
100
Step-by-step explanation:
We know that if we convert 1/4 into a decimal it becomes 0.25 so,
0.25
x
400
____________________
100
Hope this helps!
Rewrite m+3n=7 to solve for m
Answers
m=-3n+7
Could someone help me understand how to solve this?
Answers
Answer:
Amount in 4% account: $550
Step-by-step explanation:
Use simple interest formula [tex]I=P\cdot r\cdot t,[/tex] where
I = interest
P = principal
r = rate (as decimal)
t = time.
4% account:
[tex]P_1=x\\ \\r_1=0.04\\ \\t_1=1,[/tex]
then
[tex]I_1=x\cdot 0.04\cdot 1=0.04x[/tex]
5% account:
[tex]P_2=1,500-x\\ \\r_2=0.05\\ \\t_2=1,[/tex]
then
[tex]I_2=(1,500-x)\cdot 0.05\cdot 1=0.05(1,500-x)[/tex]
You have earned $69.50 in total, so
[tex]I_1+I_2=69.50\\ \\0.04x+0.05(1,500-x)=69.50\\ \\4x+5(1,500-x)=6,950\\ \\4x+7,500-5x=6,950\\ \\4x-5x=6,950-7,500\\ \\-x=-550\\ \\x=550\\ \\1,500-x=1,500-550=950[/tex]
Amount in 4% account: $550
Amount in 5% account: $950
The angle of elevation of the top of a house from a point on the horizontal line 45m away from the foot of the house is 30 degree,find the height of house
Answers
The height of the house, given the angle of elevation and the distance of the point is 25. 98 meters.
How to find the height ?
You can use the tangent function because it relates the angle of elevation to the opposite side and the adjacent side (the horizontal distance).
The tangent of the angle of elevation is equal to the ratio of the height to the horizontal distance:
tan(30 degrees) = h / 45 meters
Solve for "h" by multiplying both sides by 45 meters:
h = 45 meters x tan(30 degrees)
You can calculate the value of tan(30 degrees):
tan(30 degrees) = 0.5774
Multiply:
h = 45 meters x 0.5774
= 25.98 meters
WILL MARK THE CORRECT ANSWER BRAINLIEST!
Select all the correct answers:
Answers
Answer:
B, D
Step-by-step explanation:
Solve all equations:
A.
[tex]x-3x=-2x+4\\ \\-2x=-2x+4\\ \\0=4[/tex]
This is false equality, so this equation has no solutions.
B.
[tex]x-\dfrac{1}{3}(3x)=0\\ \\x-x=0\\ \\0=0[/tex]
This equality is true for all values of x, so this equation has infinitely many solutions.
C.
[tex]\dfrac{1}{3}x-3=4+2x\\ \\x-9=12+6x\\ \\x-6x=12+9\\ \\-5x=21\\ \\x=-\dfrac{21}{5}[/tex]
This equation has the unique solution.
D.
[tex]3x+2-\dfrac{1}{3}(3x)=2+2x\\ \\9x+6-3x=6+6x\\ \\6x+6=6+6x\\ \\0=0[/tex]
This equality is true for all values of x, so this equation has infinitely many solutions.
E.
[tex]x-\dfrac{1}{3}x+2=0\\ \\3x-x+6=0\\ \\2x=-6\\ \\x=-3[/tex]
This equation has the unique solution.
What is the range of f(x) = 1/x?
Answers
Answer: f(x)=1x can have any number as an input except for zero.
Step-by-step explanation:
Domain is all the possible x-values that can be plugged in and range is all the possible y-values that can be outputs. f(x)=1x can have any number as an input except for zero.
Given the line below.
Write the equation of the line, in point-slope form. Identify the point (-2, -2) as (x1, y1). Use the box provided to submit all of your calculations and final answer.
Answers
Answer:
[tex]y+2=(x+2)[/tex]
Step-by-step explanation:
The picture of the question in the attached figure
step 1
Find the slope
The formula to calculate the slope between two points is equal to
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
we have
(-2,-2) and (2,2)
substitute the values
[tex]m=\frac{2+2}{2+2}=1[/tex]
step 2
Find the equation of the line in point slope form
[tex]y-y1=m(x-x1)[/tex]
we have
[tex]m=1\\(x1,y1)=(-2,-2)[/tex]
substitute
[tex]y-(-2)=(1)(x-(-2))[/tex]
[tex]y+2=(x+2)[/tex]
Four times a number decreased by seven
Answers
"4 times a number" - The word "times" implies that we have to multiply 4 by an unknown number. We can simply label this unknown number as x.
"cubed" - In order to "cube" a number, we must raise it to the third power, or have an exponent of 3. Our unknown number of x now becomes x3 because we raised it to the third power.
"decreased by 7" - The word "decreased" implies that we must subtract 7 from the product of 4 multiplied by x3
With all of the information we now have, we can form an algebraic expression for this problem.
"4 times a number cubed decreased by 3" now becomes:
4x3 - 7
:
Select all that apply.
40 is what percent of 25.
A
160%
B
62.5%
C
1600%
D
625/1000
E
160/100
F
1600/100
Answers
Answer:
The answer is A 160% and E [tex]\frac{160}{100}[/tex].
Step-by-step explanation:
To find what percentage 40 is of 25, you first need to find what 1% of 25 is. To solve you do 25 ÷ 100 which is equal to 0.25. You then need to divide 40 by 0.25, which would be the same as multiplying 40 by 4. 40 ÷ 0.25 = 160. Therefore, 40 is 160% of 25. 160% is the same as saying [tex]\frac{160}{100}[/tex] or 160 out of 100 or you could say 160 ÷ 100 = 1.6, which would mean 25 × 1.6 = 40.
40 as a percentage of 25 can be applied such that the percentage would be:
A. 160%E. 160/100How to find the percentages ?To find what percent 40 is of 25, you would use the formula:
= (Part / Whole) * 100%
So here, 40 is the part and 25 is the whole:
= (40 / 25) * 100%
= 160%
40 is 160 % of 25.
160 / 100 is also 160 %. The rest of the options are incorrect leaving options A and E.
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What are the solutions of the polynomial 4x^2-4x+10 4 x 2 − 4 x + 10? Write the answer in complex, a+bi a + b i form.
x=____+____i,x=____-____i
Answers
The solutions of the polynomial are [tex]x=-\frac{1}{2}+\frac{3}{2}i[/tex] , [tex]x=-\frac{1}{2}-\frac{3}{2}i[/tex]
Step-by-step explanation:
The solutions of a polynomial is the value of x when the polynomial equal to zero
The formula of quadratic polynomial is [tex]x=\frac{-b(+/-)\sqrt{b^{2}-4ac}}{2a}[/tex] , where
a is the coefficient of x²b is the coefficient of xc is the numerical term∵ The polynomial is 4x² - 4x + 10
- Equate it by zero to find its solutions
∴ 4x² - 4x + 10 = 0
∵ The coefficient of x² is 4
∴ a = 4
∵ The coefficient of x is -4
∴ b = -4
∵ The numerical term is 10
∴ c = 10
- Use the formula to find the values of x
∵ [tex]x=\frac{(-4)(+/-)\sqrt{(-4)^{2}-4(4)(10)}}{2(4)}[/tex]
∴ [tex]x=\frac{-4(+/-)\sqrt{16-160}}{8}[/tex]
∴ [tex]x=\frac{-4(+/-)\sqrt{-144}}{8}[/tex]
∵ [tex]\sqrt{-144}=12\sqrt{-1}[/tex]
- Substitute [tex]\sqrt{-1}[/tex] by i
∴ [tex]12\sqrt{-1}=12i[/tex]
∴ [tex]x=\frac{-4(+/-)12i}{8}[/tex]
- Divide up and down by 4 to simplify the fraction
∴ [tex]x=-\frac{1}{2}+\frac{3}{2}i[/tex] , [tex]x=-\frac{1}{2}-\frac{3}{2}i[/tex]
The solutions of the polynomial are [tex]x=-\frac{1}{2}+\frac{3}{2}i[/tex] , [tex]x=-\frac{1}{2}-\frac{3}{2}i[/tex]
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How far did you drive if you drove 2 hours at 55 miles per hour and 3 hours at 60 miles per hour?
Answers
Answer:
290 miles.
Step-by-step explanation:
To answer this, first multiply the hours by miles. 2 hours at 55 miles per hour means a total of 110 miles. 3 hours at 60 miles per hour means a total of 180 miles. Therefore, 110 + 180 = 290, so you drive 290 miles.
Answer:
Step-by-step explanation:
Which of the following is an example of a function?
O {(3, 4), (4, 8), (6, 6), (7, 10)}
O {(0, 2), (1, -4), (1, -3), (3, 6)}
O {-1, 4), (0, 3), (0, -2)}
{(5, 7), (6,8), (6,9), (7, 10)}
Answers
Answer:
{(3, 4), (4, 8), (6, 6), (7, 10)}
Step-by-step explanation:
Only the first one is a function because the others have repeated x values in some of the ordered pairs.
For example, {-1, 4), (0, 3), (0, -2)} has a repeated x = 0.
Evaluate the expression when n=4.
n^2+6n-6
Answers
Answer:
34
Step-by-step explanation:
when n=4.
n^2+6n-6 = (4)^2+6(4)-6 = 16 + 24 - 6 = 10 + 24 = 34
Find the slope of the line passing through the points (3,4) and (8, -3)
Answers
Answer:
1.5
Step-by-step explanation:
y2 - y1 ÷ x2 - x1
(3,4) (8, -3)
(x1,y1) (x2,y2)
which value of the variable is the solution of the equation a+$5.92=$12.29? a=$5.37,$5.47,$6.37,$6.27
Answers
Answer:
Option a=$6.37 is correct
The value of the variable is the solution of the given equation is a=$6.37
Step-by-step explanation:
Given equation is a+$5.92=$12.29
To find the value of the variable is the solution of the given equation :
a+$5.92=$12.29
Subracting the above equation by $12.29 on both sides we get
a+$5.92-$12.29=$12.29-$12.29 ( Subtraction property of equality)
a-$6.37=0
Now add $6.37 on both sides we get
a-$6.37+$6.37=0+$6.37 ( Addition property of equality)
a-0=$6.37
Therefore a=$6.37
Therefore option a=$6.37 is correct
Answer:
3rd answer is correct, $6.37
Step-by-step explanation:
A pair of dice is rolled, and the number that appears uppermost on each die is observed. Refer to this experiment, and find the probability of the given event. (Enter your answer as a fraction.)
The sum of the numbers is at least 4.
Answers
The probability of the sum of the numbers rolled on two dice being at least 4 is 25/36.
Explanation:When rolling two dice, the total number of outcomes is 36 (each die has 6 possible outcomes). To find the probability of the sum being at least 4, we need to determine the number of favorable outcomes. The pairs that satisfy this condition are (1, 3), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6), (3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6). Therefore, there are 25 favorable outcomes. So, the probability is 25/36.
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Interest earned: $3250 principal: $5000 Interest rate: ? Time: 10 years Please HELP ME! :0 20 points
Answers
Answer: Interest rate = 0.065
Step-by-step explanation:
I=PRT
3250=5000r*10
Divide by 10 on both sides
325=5000r
r=0.065
Look this is very confusing plz explain
Answers
Answer:
Step-by-step explanation:
[tex](\sqrt[3]{2} )^{5}=(2^{\frac{1}{3}})^{5}=2^{\frac{1}{3}*5}=2^{\frac{5}{3}}[/tex]
Find the sum of these polynomials.
(х2 +х+ 9) + (7х2 + 5) =
А. 7х2+x+ 14
7х2+x+4
оооо
Ос. 8х2 +х+4
OD. 8х2+x+ 14
SUBMIT
Answers
[tex]\text{The sum of given polynomials is } 8x^2+x+14[/tex]
Solution:
Given given expression to calculate is:
[tex](x^2+x+9) + (7x^2+5)[/tex]
We have to add both the polynomials
Addition of two polynomials involves combining like terms present in the two polynomials
We have to add like terms
Like terms means "the terms having same variable and same exponent"
And we have to add the constants
[tex]\rightarrow (x^2+x+9) + (7x^2+5)\\\\\text{Remove the parenthesis and simplify }\\\\\rightarrow x^2 + x + 9 + 7x^2 + 5\\\\\text{Combine the like terms }\\\\\rightarrow x^2 + 7x^2 + x + 9 + 5\\\\\text{Add the coefficients of like terms }\\\\\rightarrow 8x^2 + x + 9 + 5\\\\\text{Add the constants 9 and 5 }\\\\\rightarrow 8x^2 + x + 14[/tex]
Thus the polynomials are added
The high school tennis team is selling tennis balls to raise $500 for new equipment.They sell the balls for $2 each.
4).How many cases of tennis balls does the tennis team have to sell in order to raise enough money for new equipment.
5).Write and solve the hidden questions you need to answer before finding the answer to exercise 4
There are 24 tennis case and 3 tennis balls in each
Please help me solve this.
Answers
Answer:
84 cases
Step-by-step explanation:
The amount of money need to be raised = $ 500
Selling price of each ball = $2
1 Tennis case = 3 balls.
Earnings = Selling Price of each ball x Number of balls sold
Quantity sold = Earnings / Selling Price of each ball
Quantity sold = $ 500 / $ 2 = 250 balls
Using direct proportions
1 case = 3 balls
? cases = 250 balls
No.cases = 250 balls / 3 balls = 83.333
Note: Minimum number of cases required are 83.3333 to earn $ 500; however, we can not sell 0.3333 number of cases, hence, we will sell atleast 84 cases.
(4x²+9x-7) - (-7x²+5x-1)
Answers
Answer:
11 x^2 + 4x -6
Step-by-step explanation:
combine like terms but be careful with the minus sign in front of the second set of parentheses.
4x^2 + 9x -7 + 7x^2 -5x +1
Answer: [tex]-3x^2+4x-6\\[/tex]
Step-by-step explanation:
4x^2 +9x-7 does not need distributive propery
-(7x^2+5x-1) does with that negitive in front of parentheses
It then becomes -7x^2-5x+1
Add it all together
[tex]-3x^2+4x-6[/tex]