Answer:
The number is 0
Step-by-step explanation:
We form an equation using the statement:
8 = 7x + 8
Then we solve it:
8 = 7x + 8
8 - 8 = 7x
0 = 7x
0 ÷ 7 = x
x = 0
How is 6.3 written in scientific notation?
6.3 x 10°
63 x 10-1
6.3 x 102
63 x 10°
Answer:
6.3 x 10°
Step-by-step explanation:
6.3 can be written as 6.3 x 1
recall that anything to the power of zero = 1
hence 10° = 1 substitute this back into the expression above to get:
6.3
= 6.3 x 1
= 6.3 x 10°
David pays a 20% income tax on his 2,100-month salary. How much does he pay in taxes each year?
Andre Rick and ty were practicing for a track cycling race. Andre- 750 m in 3 minutes Rick 4 minutes 800m, Ty 950 in 5mmintues, who covered the last distance per minute?
A recipe for banana pudding calls for 2/3 cups of sugar for the flour and 1/4 cups of sugar for the meringue topping, how many cups of sugar is required to make that good banana pudding?
A phone originally price at $40 is now $30 what was the percent discount?
Answer:
2 5/8 to 1.
Step-by-step explanation:
That would be 1 3/4 divided by 2/3.
= 7/4 / 2/3
= 7/4 * 3/2
= 21 / 8
= 2 5/8
Answer 2 5/8 to 1.
I think
Kara works at a fine jewelry store and earns commission on her total sales for the week. Her weekly paycheck is $6,500 including her salary which is $1,000. Her sales for the week totaled to $45,000. Express her rate of commission as a percent rounded to the nearest whole number.
Rate of commission as a percent is 12 %
Solution:
Kara weekly paycheck is $6,500 including her salary which is $1,000
Therefore,
Commission amount = Weekly paycheck - salary
Commission amount = 6500 - 1000
Commission amount = 5500
Her sales for the week totaled to $45,000
Therefore rate of commission is given as:
[tex]Commission\ rate = \frac{\text{commission amount}}{\text{sales for week}} \times 100[/tex]
Substituting the values we get,
[tex]Commission\ rate = \frac{5500}{45000} \times 100\\\\Commission\ rate = \frac{550}{45}\\\\Commission\ rate = 12.2 \approx 12[/tex]
Thus rate of commission as a percent is 12 %
Investors buy a studio apartment for $ 120,000. Of this amount, they have a down payment of $ 36,000. Their down payment is what percent of the purchase price? What percent of the purchase price would a $42,000 down payment be?
Answer:
[tex]\$ 36000\ down\ payment\ is=30\%\\\\\$ 42000\ down\ payment\ is=35\%[/tex]
Step-by-step explanation:
[tex]Purchase\ price=\$ 120000\\\\[/tex]
[tex]when\ down\ payment=\$ 36000\\\\percentage\ down\ payment=\frac{down\ payment}{total\ amount}\times 100\\\\percentage\ down\ payment=\frac{36000}{120000}\times 100\\\\percentage\ down\ payment=0.3\times 100=30\%[/tex]
[tex]when\ down\ payment=\$ 42000\\\\percentage\ down\ payment=\frac{down\ payment}{total\ amount}\times 100\\\\percentage\ down\ payment=\frac{42000}{120000}\times 100\\\\percentage\ down\ payment=0.35\times 100=35\%[/tex]
Final answer:
A $36,000 down payment is 30% of the $120,000 purchase price. A $42,000 down payment would be 35% of the purchase price.
Explanation:
To calculate what percent the down payment is of the purchase price, we use the formula:
(Down Payment / Purchase Price) x 100 = Percentage of Purchase Price
For the initial $36,000 down payment:
Divide $36,000 by the purchase price of $120,000 to get 0.3.
Multiply 0.3 by 100 to get 30%.
Therefore, a $36,000 down payment is 30% of the $120,000 purchase price.
For a $42,000 down payment:
Divide $42,000 by the purchase price of $120,000 to get 0.35.
Multiply 0.35 by 100 to get 35%.
A $42,000 down payment would be 35% of the purchase price.
In randomly selected family with two children, excluding multiple births , what is the probability of having two boys
Answer:
Therefor the probability of having two boys = [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
i) In randomly selected family with two children, excluding multiple births
the children can be in the following combinations:
a) one girl, one girl : GG
b) one girl, one boy : GB
c) one boy, one boy : BB
The order does not matter for this problem.
Therefor the probability of having two boys = [tex]\frac{1}{3}[/tex]
There was 5 dogs and 1 dog got lost how many dogs are there now
Answer:
5 - 1 = 4
Step-by-step explanation:
3 lines are shown. A line with points M, H, K intersects with a line with points J, H, L at point H. Another line extends from point H to point N in between angle K, H, J. Angle M H L is (3 x + 20) degrees, angle K H N is (x + 25) degrees, and angle J H N is (x + 20) degrees. What is the measure of AngleJHN? 25° 45° 50° 95°
Answer:
Option B.
Step-by-step explanation:
Given information: ∠MHL=(3x+20), ∠KHN=(x+25), and ∠JHN=(x+20).
We need to find the measure of ∠JHN.
[tex]\angle MHL=\angle JHK[/tex] (Vertical opposite angles)
[tex]\angle MHL=\angle JHN+\angle KHN[/tex]
Substitute the given values.
[tex]3x+20=(x+20)+(x+25)[/tex]
[tex]3x+20=2x+45[/tex]
[tex]3x-2x=45-20[/tex]
[tex]x=25[/tex]
The value of x is 25. So, the measure of ∠JHN is
[tex]\angle JHN=x+20=25+20=45[/tex]
The measure of ∠JHN is 45°.
Therefore, the correct option is B.
Answer:
it's B
Step-by-step explanation:
Can someone please help me I will mark brainliest
Answer:
The missing side is 7
Step-by-step explanation:
The smaller triangle has the same exact angles and the bigger one. If you notice each side with a value is three times the smaller one. 8m times three equals 24m. So if we divide 21 by 3 we get 7
Answer: 7
Step-by-step explanation:
4 1/2 −5 1/3 ÷(20x−14 2/3 )=1 5/6
What is the basis of statistical inference
Answer:
Statistical inference is the process of using data analysis to deduce properties of an underlying probability distribution. Inferential statistical analysis infers properties of a population, for example by testing hypotheses and deriving estimates.
Given the sequence 2, 4, 8, , 16,........, where x = 0, 1, 2, 3, .......what is the function rule? f(x) = 2x + 2 f(x) = 2(2)x f(x) = (2x) f(x) = 2
Option C: [tex]f(x)=2^x[/tex] is the function rule.
Explanation:
The sequence is [tex]2,4,8,16, \dots \dots[/tex]
Let us find the common difference of this sequence.
Common ratio = [tex]\frac{4}{2} =2[/tex]
Hence, [tex]r=2[/tex]
Thus, the given sequence is a geometric progression.
To determine the function rule, let us substitute the values in the general formula of GP which is given by
[tex]f(x)=ar^{x-1}[/tex] where [tex]a=2, r=2[/tex]
Substituting we get,
[tex]f(x)=2(2)^{x-1}[/tex]
Simplifying, we get,
[tex]f(x)=2\times2^x\times2^{-1[/tex]
Adding the powers, we get,
[tex]f(x)=2^{1+x-1}[/tex]
Simplifying, we get,
[tex]f(x)=2^x[/tex]
Hence, the function rule is [tex]f(x)=2^x[/tex]
Thus, Option C is the correct answer.
Can someone please answer this multiple choice questions numbers 2 , 12 and 13 please answer and please please show work
Answer:
2) D
12) C
13) D
Step-by-step explanation:
2) 4° C at 6:00 PM
A) + 2° - 6° = - 4° 4° - 4° = 0° 0° does not equal 4° A [tex]\neq[/tex] Correct
B) - 5° + 1° = - 4° 4° - 4° = 0° 0° does not equal 4° B [tex]\neq[/tex] Correct
C) + 6° - 4° = + 2° 4° + 2° = 6° 0° does not equal 4° C [tex]\neq[/tex] Correct
D) - 7° + 7° = 0° 4° + 0° = 4° 4° does equal 4° D = Correct
The answer to question #2 is D
12) M = -3
N ----> M = 8.5 units
The only possible options for N are:
-3 + 8.5 = 5.5
-3 - 8.5 = -11.5
-11.5 is not a choice, so the answer to question #12 is C
13) Scale: 1 inch = 70 yards
Abe walks 3.5 inches (on the diagram)
Multiply both sides of the scale by 3.5
3.5 * 1 inch = 70 * 3.5
3.5 inches = 245 yards
Abe walked 245 yards
The answer to question #13 is D
Hope this helps :)
13.
If the temperature drops from 35°F
to -12°F, how many degrees did it
change?
Answer: 47 degrees
Step-by-step explanation: If it dropped form 35 to 0. That is 35 degrees, if it dropped from 0 to -12 degrees that is 12 more degrees. 35 + 12 = 47
Answer:
it dropped 47°
add 12 to 35
in the ordinary dating of invoices,what does n/ 45 means
Answer:
the net amount is due in 45 days
Step-by-step explanation:
Invoice terms often have a discount for early payment, and a specification as to the date by which payment in full is expected. n/45 means the net amount of the invoice is due in 45 days.
A diet food company is attempting to create a non-carb brownie composed entirely of fat and protein. The brownie must weigh at least 10 grams but no more than 100 calories. Fat has 9 calories per gram and protein has 4 calories per gram. Write and graph a system of inequalities that represents weight, in grams, of protein and fat.
Answer:
The system of inequalities is given by
i) x + y ≥ 10
ii) 9x + 4y ≤ 100
Step-by-step explanation:
i) let x be the number of grams of fat in the non-carb brownie.
ii) let y be the number of grams of protein in the non-carb brownie.
iii) The brownie must weigh at least 10 grams
iv) therefore we can write x + y ≥ 10
v) The brownie must have no more than 100 calories
vi) therefore we can write 9x + 4y ≤ 100
I need some help with this equation please!
Answer:
y = - 2x + 8
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = [tex]\frac{1}{2}[/tex] x - 9 ← is in slope- intercept form
with slope m = [tex]\frac{1}{2}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{1}{2} }[/tex] = - 2, thus
y = - 2x + c ← is the partial equation
To find c substitute (3, 2) into the partial equation
2 = - 6 + c ⇒ c = 2 + 6 = 8
y = - 2x + 8 ← equation of perpendicular line
You walked to school on 135 days out of 180 days. What percent of the days did you walk?
Answer:
75%
Step-by-step explanation:
you have to divide 135 by 180 which you look like, 135/180. then once you receive a decimal/fraction which would be .75 you can turn that into a percentage which would be 75%. hope this helped
A basketball player shoots a basketball with an initial velocity of 15ft/sec. The ball is released from an initial height of 6.5 feet. The function h(t)=-16t^2+v0t+h0 models the height,in feet, of an object after t seconds. v0 is the initial initial height of the object
part one right function that models the height of the basketball use your function to answer part 2 through 4
part 2 how long does it take for the basketball to hit the ground round your answer to the nearest hundredth show all your work
part 3 when does the basketball reaches maximum height round your number to the nearest hundredth show all your work and explain your answer
what is the maximum height of the basketball round your answer to the nearest hundredth and show all your work and explain your answer
PLEASE HELP
Answer:
Viewing window: [0, 1.4] × [-3, 12]
See the attachments from the TI-83 Plus graphing calculator.
1) f(t) = -16t² + 15t + 6.5
2) -16t² + 15t + 6.5 = 0
32t² - 30t - 13 = 0
t = (30 + √((-30)² - 4(32)(-13)))/(2(32))
= (30 + √2564)/64
= (30 + 2√641)/64
= (15 + √641)/32
= about 1.26 seconds
3) f'(t) = -32t + 15
-32t + 15 = 0
t = 15/32 seconds = about .47 seconds
f(15/32) = -16(15/32)² + 15(15/32) + 6.5
= about 10.02 feet
Part 1: The function that models the height of the basketball is [tex]\( h(t) = -16t^2 + 15t + 6.5 \).[/tex]
Part 2: It takes approximately 0.89 seconds for the basketball to hit the ground.
Part 3: The basketball reaches its maximum height at approximately 0.47 seconds.
Part 1: The function that models the height of the basketball is given by:
[tex]\[ h(t) = -16t^2 + v_0 t + h_0 \][/tex]
Given:
- Initial velocity [tex](\( v_0 \))[/tex] = 15 ft/sec
- Initial height [tex](\( h_0 \))[/tex] = 6.5 feet
So, the function becomes:
[tex]\[ h(t) = -16t^2 + 15t + 6.5 \][/tex]
Part 2: To find how long it takes for the basketball to hit the ground, we set [tex]\( h(t) = 0 \)[/tex] and solve for [tex]\( t \)[/tex]:
[tex]\[ -16t^2 + 15t + 6.5 = 0 \][/tex]
We can use the quadratic formula to solve for[tex]\( t \)[/tex]:
[tex]\[ t = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} \][/tex]
where [tex]\( a = -16 \), \( b = 15 \), and \( c = 6.5 \).[/tex]
Plugging in the values:
[tex]\[ t = \frac{-15 \pm \sqrt{15^2 - 4(-16)(6.5)}}{2(-16)} \]\[ t = \frac{-15 \pm \sqrt{225 + 416}}{-32} \]\[ t = \frac{-15 \pm \sqrt{641}}{-32} \][/tex]
Using a calculator, we find:
[tex]\[ t \approx 0.89 \text{ seconds (rounded to the nearest hundredth)} \][/tex]
Part 3: To find when the basketball reaches its maximum height, we can use the formula for the x-coordinate of the vertex of a quadratic function:
[tex]\[ t_{\text{max}} = -\frac{b}{2a} \][/tex]
For our function [tex]\( h(t) = -16t^2 + 15t + 6.5 \), \( a = -16 \) and \( b = 15 \).[/tex]
[tex]\[ t_{\text{max}} = -\frac{15}{2(-16)} \]\[ t_{\text{max}} = \frac{15}{32} \]\[ t_{\text{max}} \approx 0.47 \text{ seconds (rounded to the nearest hundredth)} \][/tex]
Part 4: To find the maximum height of the basketball, we substitute the value of [tex]\( t_{\text{max}} \)[/tex] into the function [tex]\( h(t) \):[/tex]
[tex]\[ h_{\text{max}} = -16(0.47)^2 + 15(0.47) + 6.5 \]\[ h_{\text{max}} = -16(0.2209) + 7.05 + 6.5 \]\[ h_{\text{max}} = -3.5344 + 7.05 + 6.5 \]\[ h_{\text{max}} \approx 10.0156 \text{ feet (rounded to the nearest hundredth)} \][/tex]
The maximum height of the basketball is approximately 10.02 feet.
solve
-2x-y=1
y=3x-1
Answer:
x=-2/5
y=-1/5
Step-by-step explanation:
[tex]-2x-y=1\\y=3x-1[/tex]
Get the y variables onto 1 side
[tex]y+1=-2x\\y=3x-1[/tex]
Now shift the 1 over
[tex]y=-2x-1\\y=3x-1[/tex]
To solve for x, we can subtract the second equation from the first equation
[tex](y-y)=-2x-3x-1-1 = 0=-5x-2\\5x=-2\\x=-2/5[/tex]
Plug back into the first equation we found and solve for y
[tex]y=-2x-1\\y=-2(-2/5)-1\\y=4/5-1=-1/5[/tex]
What is approximate volume of a cone with a height of 9 feet and radius of 3 feet?
Answer:
84.82 ft³
Step-by-step explanation:
Answer:
84.823
Step-by-step explanation:
The formula of the volume of cone is v= 1/3 (PI* r^2) h
We have that h= 9feet , and r= 3
So, v =1/3 (Pi * 3^2) 9
V=84.82300
can someone explain to me HOW to solve these problems
(2m)^3(m^4)^5
(-3y^5)^32y^2
plzzzz help
Answer:
(2m)^3(m^4)^5= 8m^23
(-3y^5)^3x2y^2= -54y^17
Step-by-step explanation:
1. For solving first part
(2m)^3(m^4)^5
=[tex](2^3 m^3) (m^{20} )\\Acoording \,to\,exponential\,rules \, exponent 4 \, and\, 5 \,were\, \,multiplied\\As\\\2^3 =8 \\so\\8m^3 \times m^{20} \\\\Acoording \,to\,exponential\,rules \, exponent \,3 \,and\,20\,will\,be\,added\\x^{2} 8m^{23}[/tex]
(2m)^3(m^4)^5= 8m^23
2. For solving second part
(-3y^5)^3 x 2y^2
[tex](-3^3) y^{5\times3} \times 2y^2\\\\As \,3^3= 27 \,and\\\\applying \,exponential\, rule \,the\, exponents\ 5 \, and\, 3 \,will\,be\,multiplied\\the \,equation will become\\-27 \,y15 \times 2y^2\\\\applying \,exponential\, rule \,the\, exponents\, 15 \,and\, 2 \,wil, be\,added \\-54 y^{17}[/tex]
(-3y^5)^3 x 2y^2= -54y^17
Keywords: Algebra
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the two vertices of a triangle are (0,6) and (0,12). if the are of the triangle is 12 square units, where can the third vertex be? What if the triangle is also isosceles?
Answer:
1) (4,6),(-4,6), (4,12),(-4,12)
2) (4,9) or (-4,9)
Step-by-step explanation:
Observe that the two vertices given, (0,6) and (0,12) are on the y-axis.
The distance between this points is |12-6|=6
We know area of a triangle is [tex]A=\frac{1}{2}bh[/tex]
We were given area as 12.
[tex]\frac{1}{2}*b*6=12[/tex]
[tex]3b=12[/tex]
b=4 units
We can find a point 4 units horizontally away from any of the vertex.
So (4,6),(-4,6), (4,12),(-4,12) are feasible vertices.
For the triangle to be isosceles, then the third vertex must be on the horizontal line through the midpoint of (0,6) and (0,12) and must be 4 units away from the line x=0.
Therefore if thr triangle is isosceles, then third vertex must be at (4,9) or (-4,9)
Write the simplest polynomial function with the given roots -3,-2,1 and 5
The simplest polynomial function with the given roots is
[tex]x^4-x^3-19x^2-11x+30[/tex].
Solution:
Given roots of the polynomial are:
–3, –2, 1 and 5
If a is the root of the polynomial then the factor is (x –a).
So that, the factors of the given roots are:
(x –(–3)) = x + 3
(x –(–2)) = x + 2
(x – 1) = x – 1
(x – 5) = x –5
Polynomial = Product of the factors
= (x + 3)(x + 2)(x – 1)(x – 5)
Multiply first two factors.
[tex]=(x^2+2x+3x+6)(x-1)(x-5)[/tex]
[tex]=(x^2+5x+6)(x-1)(x-5)[/tex]
Now, multiply the next two factors.
[tex]=(x^2+5x+6)(x^2-5x-x+5)[/tex]
[tex]=(x^2+5x+6)(x^2-6x+5)[/tex]
Now multiply these two factors.
[tex]=x^2(x^2-6x+5)+5x(x^2-6x+5)+6(x^2-6x+5)[/tex]
[tex]=x^4-6x^3+5x^2+5x^3-30x^2+25x+6x^2-36x+30[/tex]
[tex]=x^4-x^3-19x^2-11x+30[/tex]
The simplest polynomial function with the given roots is
[tex]x^4-x^3-19x^2-11x+30[/tex].
The senior class is planning a trip that will cost $35 per student if $3920 has been collected from the seniors for the trip, how many have paid for their trip? write and solve an equation.
Answer:
112 will have been paid for their trip
Step-by-step explanation:
You have to divide $3920 by $35 to get your answer
Suppose there is a strong positive correlation between m and n. Which of the
following must be true?
Option A. When m increases , n tends to increase.
Step-by-step explanation:
Positive correlation is a relationship between two variables in which both variables move in the same direction.
Option A. When m increases , n tends to increase.
Answer:
A. When m increase, n tends to increase
Y=2x-3 a direct variation
Please Do not answer with anything irrelevant to this subject,Thank you.
In a right triangle, side a is 3 times as long as side b, and side c is 30 cm. Using the Pythagorean Theorem, what are the lengths of sides a and b? Round your answers to the nearest tenth.Hypotenuse is 30,A and B are not known but we know A is 3 times more than B.
Answer:
a = 3√10 ≈ 9.5b = 9√10 ≈ 28.5Step-by-step explanation:
We are given two relations we can use to find "a" and "b":
a = 3b
a² + b² = 30²
Substituting for "a", we have ...
(3b)² +b² = 900
10b² = 900
b² = 90
b = √90 = 3√10 ≈ 9.5
Then "a" is ...
a = 3b = 3(3√10) = 9√10 ≈ 28.5
The values of "a" and "b" are about 28.5 and 9.5, respectively.
What if the answer to the equation
2+s>=10;s=7
Solving the inequality [tex]2+s\geq 10\,\,,where\,\,s=7[/tex] we get [tex]9\geq 10\,\,(not\,\,true)[/tex]
We know that 9 is not greater than 10 so, the inequality doesn't hold.
Step-by-step explanation:
We need to solve:
[tex]2+s\geq 10\,\,,where\,\,s=7[/tex]
Solving the inequlaity:
[tex]2+s\geq 10[/tex]
Putting value of s i.e s=7 in the equation
[tex]2+7\geq 10\\9\geq 10[/tex]
Solving the inequality [tex]2+s\geq 10\,\,,where\,\,s=7[/tex] we get [tex]9\geq 10\,\,(not\,\,true)[/tex]
We know that 9 is not greater than 10 so, the inequality doesn't hold.
Keywords: Solving inequalities
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Simplify 8(3+5)
Help me please
Answer:
64
Step-by-step explanation:
pemdas says parenthesis first
3+5=8
8(8)
8 times 8 equals 64
We can add the numbers inside the parenthenses: 8(3+5)=8(8)
Now just multiply and we get 64.
So 64 is the simplified answer
Hope this helped!
Convert 11/10 into a mixed number
Answer:
Divide 11 by 10 . Place this digit in the quotient on top of the division symbol. Multiply the newest quotient digit (1) by the divisor 10 . Subtract 10 from 11 . :) Hope this helps!
It can be a fraction of 11/10 as a mixed number is 1 1/10.
How to convert fractions into a mixed number?To convert a fraction into a mixed number, you need to divide the numerator (top number) by the denominator (bottom number).
The whole number part of the result is the whole number of the mixed number, and the remainder becomes the numerator of the fractional part.
As per the question, we have the fraction 11/10.
Dividing 11 by 10 gives:
11 ÷ 10 = 1 remainder 1
So the whole number part is 1, and the fractional part is 1/10. We can express this as a mixed number by writing:
11/10 = 1 1/10
Therefore, 11/10 as a mixed number is 1 1/10.
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