Write the number 9.7 x 10^-3 in standard form.
Answer:
.0097
Step-by-step explanation:
Take the decimal and move it 3 (variable for any negative exponent) places to the left
Answer:
0.0097 is the answer.
Step-by-step explanation:
You start by counting from the decimal place. For negative exponents, you would count to the left. Three decimal places to the left of 9.7 is 0.0097.
What are the roots of the equation x^2-10x+74=0x
2−10x+74=0 in simplest a+bia+bi form?
Answer:
x= 38/5
Step-by-step explanation:
Answer:
Quadratic equation
Step-by-step explanation:
The formula is - b+- square root b^2 - 4ac all divided by 2a
a=1
b=-10
c=74
So substitute the values and remember to keep the value in a bracket so the outside operator affects it
-(-10)+- square root (-10)^2 - 4(1)(74) all divided by 2(1)
Giving you 2 answers of x as their is a positive and negative square roots
X=-138
X=
What are the matches
Here is your answer!
|-7.1| 7.1
|-3.1 + 8.8| 5.7
|2.7 + 4.2| 6.9
|4-9| 5
Explanation:
The absolute value of something is the distance of a number from zero, regardless of direction. The distance is always positive, as absolute value of a number cannot be negative.
chad is making an orange smoothie. the recipe call for 3 parts of frozen yogurt to 5 parts of orange juice. how many ounces of both juice and yogurt dose he use he needed to get a total to get 16 ounces
Answer: it will be 6 ounces of frozen yogurt and 10 ounces of orange juice.
Step-by-step explanation:
3 parts frozen yogurt
5 parts orange juice For a total of 8 parts divided by 16 ounces = 2 Multiply 3 fy x 2= 6 ounces And multiply 5 oj x 2= 10 ounces
True or false? When comparing the results of multiplying polynomials using the horizontal method and the vertical method, the vertical method is more accurate than the horizontal method.
False
True
Answer:
true
Step-by-step explanation:
I mean it sound true
Answer:
true
it sounds true to me
Помогите пожалуйста сделать это задание новая тема не понимаю
Answer:
heyyy here's your answer hope it helps you
Step-by-step explanation:
1. 4a+7a=11a.
2.20y-6y=14y.
3.8m-8m=0.
4.9b+6=9b+3.
PLEASE ASAP
The area of a semicircle is 39.25 square kilometers. What is the semicircle's radius?
Use 3.14 for pi
__ kilometers
Answer:
R=5
Step-by-step explanation:
The area of a semi circle is 1/2(pi×R^2).
Since the area is given you would just work backwards.
Using 3.14 as "pi", you would have
39.25 = 1/2(3.14×R^2)
39.25*2 = 3.14*R^2
78.5 = 3.14* R^2
78.5/3.14 = R^2
25 = R^2
Then you would take the sqrt of R and 25
And the answer would come to 5 = R
R= radius
[tex] \small \tt{Area \: of \: a \: semicircle = \frac{1}{2} \times \pi {r}^{2} }[/tex]
[tex] \small\tt{39.25 = \frac{1}{2} \times 3.14 \times {r}^{2} } [/tex]
[tex] \small\tt{39.25 \times 2 = 3.14 \times {r}^{2} } [/tex]
[tex] \small\tt{78.5 \: = 3.14 \times {r}^{2} } [/tex]
[tex] \small\tt{ \frac{78.5}{3.14} = {r}^{2} } [/tex]
[tex] \small\tt{ {r }^{2} = 25} [/tex]
[tex] \small\tt{r = \sqrt{25} = 5 } [/tex]
[tex] \small\tt{r = 5} [/tex]
Radius = 5Hope it will help you
There are 10 paint colors in a set, and 20% of the paint colors are shades of blue. How many of the paint colors are shades of blue?
Answer:
2 are shades of blue.
Step-by-step explanation:
[tex]10 \times 20\% \\ = 2[/tex]
What is a Function?
What is not a Function?
Answer:
Function : 1 input 1 output
not a Function : 1 input more than 1 output
ck12org
help pleas im stuck.
Answer:
its c
Step-by-step explanation:
find the perimeter of a rectangle whose length is 18 m and breadth is 5 m
Answer:
46m
Step-by-step explanation:
2(18)+2(5)=46
Answer:
46mStep-by-step explanation:
To find the perimeter of a rectangle, add the lengths of the rectangle's four sides.
18 + 5 + 18 + 5 =
46m
Matt makes $56,980 a year as an engineer. He gets paid once a month. How much would his paycheck be
There are 12 months in a year, so Matt would theoretically earn
$56,980 / 12 ≈ $4,748.33
each month. (But his earnings will certainly be taxed, so the real answer is less than this.)
Answer: $4,748
Step-by-step explanation: A year is 12 months and since he gets paid once a month, then you divide $56,980 by 12, and that equals $4,748 a month.
Hope it helps and have a great day!
Under her cell phone plan, Lillian pays a flat cost of $47 per month and $3
per gigabyte. She wants to keep her bill at $57.20 per month. How many
gigabytes of data can she use while staying within her budget?
Answer:
3.4 gigabytes
Step-by-step explanation:
Because 57.20$ divided by 47 is 10.20 and 3 goes in to 10.2 3.4 times.
THIS AN ASTRONOMY QUESTION
Describe a general rule for how the angle that the parallels of declination make with the horizon are related to the latitude of the observer.
Answer:
The positions of your north celestial pole and south celestial pole change as you change latitude on the Earth, as you move north or south. At the Earth's equator, the Celestial Equator is directly overhead, and the poles are on opposite sides of the horizon. All stars are visible as they rise, culminate at the meridian, and set. As you move north, the Celestial Equator mirrors your movement, moving south the same number of degrees away from the zenith. The altitude of any star will change with the observer's latitude (as well as the time of night).
Note: only the altitude of the star changes NOT their coordinates. The star's celestial coordinates remain the same.
Step-by-step explanation:
Declination is measured in degrees north (+) or south (-) of an imaginary line called the Celestial Equator (CE). The Celestial Equator is the projection of the Earth's Equator onto the Celestial Sphere. The CE has a declination of 0 degrees, by definition. At dec = +90 degrees (90 degrees N) is the North Celestial Pole (NCP), the projection of the Earth's North Pole onto the Celestial Sphere. The South Celestial Pole (SCP) is at dec = -90 degrees.
An Example would be:
You move 30 degrees North of the equator, hence, the Celestial Equator has moved away from the zenith, 30 degrees to the south.
While the NCP has risen 30 degrees into the sky and the SCP has sunk 30 degrees below the horizon.
If you moved south, the opposite would have occurred as the Celestial Equator moved north of the zenith.
Calculate the velocity of a baseball that travels 100 m in 5 sec.
Adelina wants to earn at least $120 a week to help her parents with bills. She determines that
she can charge $15 an hour to babysit and can earn $12 an hour bagging groceries. She can
only work 10 hours per week. Write and graph a system of linear inequalities that shows the
number of hours she can work so she can help her parents. Use x for the number of hours
babysitting and y for the number of hours bagging groceries.
The system of linear inequalities that shows the number of hours as described is;
x + y <= 1015x + 12y <= 120System of linear inequalitiesAccording to the task content;
Adelina wants to earn at least $120 a week to help her parents with bills and;She can only work 10 hours per week.Hence, it follows that;
x + y <= 1015x + 12y <= 120Read more on inequalities;
https://brainly.com/question/25275758
Answer:
5 hours babysitting, 4 hours bagging
OR
9 hours babysitting, 1-hour bagging.
Step-by-step explanation:
Sean was at batting practice. He swung 25 times, but only hit the ball 15 times.
create 2 different ratios to the scenario.
a:hits to swing value(as a decimal)
b:miss to swings(as a decimal)
solve for x. enter the solutions from least to greatest.
Answer:
Step-by-step explanation:
x+5=8
x=3
x+5= -8
x=-13
lesser x=-13
greater x= 3
What is the value of x?
Answer:
x = 5
Step-by-step explanation:
Set up proportion and cross multiply to solve:
9/2x-1 = 15/3x
x = 5
Answer:
Step-by-step explanation:
An angle bisector divides the base into ratios obtained by the sides of the triangle that are not divided. So
9/(2x - 1) = 15/3x Divide 3 into 15
9/(2x - 1) = 5/x Cross multiply
9x = 5(2x - 1) Remove the brackets
9x = 10x - 5 Switch sides.
10x - 5 = 9x Subtract 9x from both sides
10x - 9x - 5 = 0 Combine
x - 5 = 0 Add 5 to both sides.
x = 5
Kari has been driving at a constant speed for the last hour. If Kari is traveling at a speed of 65 miles per hour, which equation best represents the relationship between time in hours, t, and distance in miles, d?
d = 65t
t = d + 65
t = 65d
d = t + 65
Answer:
(a) d=65t
Step-by-step explanation:
If, for example she drove 10 hours, and she drove 65 miles each hour:
d=?
t= 10 hr
Speed= 65 mph
The formula for distance (check triangle linked below) is d=st (s*t)
so,
d=65t
hope this helps. It really simple, But I don't think I explained it too well.
For the inequality, find TWO values for x that make the inequality true: 5x<2
A.-2
B.3
C.-5
D.-6
E. 5
Answer:
a and c
Step-by-step explanation:
5(-2)<2
-10<2
5(-5)<2
-25<2
Select the correct answer from the drop-down menu. Find the polynomial. {5} is the solution set of.
Polynomials are expressions. The polynomial whose solution set is {5} is x²-10x+25.
What are polynomial?Polynomial is an expression that consists of indeterminates(variable) and coefficient, it involves mathematical operations such as addition, subtraction, multiplication, etc, and non-negative integer exponentials.
As it is given that the {5} is the solution set of the function, therefore, we can write,
[tex]x = 5\\(x-5 )= 0[/tex]
Thus, (x-5) is one of the factors of the polynomial.
Let's assume that the 5 is the only root of the polynomial, therefore, if we multiply the factor by itself we will get the quadratic equation whose solution is only 5.
[tex](x-5)^2\\\\\text{Using the algebric identity we will get}\\\\x^2-10x+25[/tex]
Hence, the polynomial whose solution set is {5} is x²-10x+25.
Learn more about Polynomials:
https://brainly.com/question/17822016
Answer:
x²-10x+25
Step-by-step explanation:
It was correct for me
A vertical plate is submerged in water and has the indicated shape.
A triangle is submerged in water pointed up. The top most vertex of the triangle touches the surface of the water. The base of the triangle is 6 m and is parallel to the surface of the water. The height of the triangle is 15 m.
Express the hydrostatic force (in N) against one side of the plate as an integral (let the positive direction be upwards) and evaluate it. (Use 9.8 m/s2 for the acceleration due to gravity. Recall that the weight density of water is 1,000 kg/m3.)
The hydrostatic force is given by the integral of the force acting on
small horizontal strips from the base to the top of the triangle.
Response:
The hydrostatic force one one side of the plate is 4.41 MNHow can the hydrostatic force acting on the plate be calculated?The given parameters are;
Base of the triangle = 6 m
Height of the triangle = 15 m
Acceleration due to gravity, g ≈ 9.8 m/s²
Weight density of water, ρ ≈ 1,000 kg/m³
Required:
Hydrostatic force on one side of the plate
Solution:
Considering a thickness, dx, having area, dA = y·dx
The pressure on the strip = ρ·g·x
Force on the strip, dF = ρ·g·x·y·dx
Using similar triangles, we have;
[tex]\dfrac{x}{15} = \dfrac{y}{6}[/tex]
Which gives;
[tex]y = \dfrac{x}{15} \times 6 = \mathbf{ \dfrac{2}{5} \cdot x}[/tex]
Therefore;
[tex]dF = \rho \cdot g \cdot x \cdot \dfrac{2}{5} \cdot x \cdot dx = \mathbf{\rho \cdot g \cdot x^2 \cdot \dfrac{2}{5} \cdot dx}[/tex]
Which gives;
[tex]F =\displaystyle \int\limits^{15}_0 { \rho \cdot g \cdot x^2 \cdot \dfrac{2}{5} } \, dx = \mathbf{\left[\rho \cdot g \cdot x^3 \cdot \dfrac{2}{3\times 5} \right]^{15}_0}[/tex]
Therefore;
[tex]F = \rho \cdot g \cdot \left[x^3 \cdot \dfrac{2}{3\times 5} \right]^{15}_0 = \mathbf{ \rho \cdot g \times 15^3 \cdot \dfrac{2}{3\times 5}} = 450 \cdot \rho \cdot g[/tex]
Which gives;
F = 450 m³ × 1,000 kg/m³ × 9.8 m/s² = 4,410,000 N = 4.41 MN
The hydrostatic force one one side of the plate, F = 4.41 MNLearn more about hydrostatic force here:
https://brainly.com/question/14201809
Can someone help pls
Solve using factorisation
12x² - 16x - 35 = 0
Answer:
(5/2, - 7/6)Step-by-step explanation:
12x² - 16x - 35 = 012x² + 14x - 30x - 35 = 02x(6x + 7) - 5(6x + 7) = 0(2x - 5)(6x + 7) = 01)
2x - 5 = 0 2x = 5x = 5/22)
6x + 7 = 06x = - 7x = - 7/6The function f(x) = 2x 26 represents the distance a flock of birds travels in in miles. The function g(x) = x − 1 represents the time the flock traveled in hours. Solve f divided by g of 5, and interpret the answer. 9; the birds' rate in miles per hour one ninth; the number of birds in the flock 9; the number of birds in the flock one ninth; the birds' rate in miles per hour.
Speed is the ratio of distance and time. When we divide f(x) by g(x) we will get the speed of the flock that is 9 miles/hour.
What is speed?Speed can be defined as the rate of change in the position of an object. It is given as,
[tex]Speed = \dfrac{Distance}{Time}[/tex]
Given to us
Distance traveled, f(x) = 2x+26
Time, g(x) = x − 1
As we know that the ratio of distance and time is equal to the speed of the object. Since the distance traveled by the flock of birds is given also, the time needed for them to travel the distance is also given.
We need to find f divided by g of 5, which is the speed of the flock,
[tex]Speed = \dfrac{Distance}{Time} = \dfrac{f(x)}{g(x)}[/tex]
[tex]Speed = \dfrac{f(x)}{g(x)} = \dfrac{2x +26}{x-1}[/tex]
[tex]Speed = \dfrac{f(5)}{g(5)} = \dfrac{2(5) +26}{(5)-1}\\\\Speed = 9 \rm\ miles/ hour[/tex]
Hence, when we divide f(x) by g(x) we will get the speed of the flock that is 9 miles/hour.
Learn more about Speed:
https://brainly.com/question/7359669
Answer:
a
Step-by-step explanation:
Hi!!! peeps....... Please help me.
Solve: X-(7y-3x)-11y
Answer:
heres a screenshot of the correct answer
Hope This Helps!!!
Answer:
4x-18y
Step-by-step explanation:
[tex]x-\left(7y-3x\right)-11y[/tex]
Let's apply the distributive law: -a(a-b)=-a+b
[tex]-\left(7y-3x\right)=-7y+3x[/tex]
[tex]x-7y+3x-11y[/tex]
Now, we'll Group terms
[tex]x+3x-7y-11y[/tex]
[tex]4x-18y[/tex]
Hope this helps!
help?
Calculate the total surface area of the prism.
surface area=total area of rectangle
the base total Surface area
=(LW+lw)2
=(8×4+6×3)2
=(32+18)2
=50×2
=100cm²
surface area of a rectangle
4×12
48cm²
SA of another rectangle
5×12
60cm²
Sa of contact base
8×12=96cm²
sa of height rectangle
10×12
120cm²
Sa of another rectangle
6×12
72cm²
area of the top=3×12
36cm²
total area=100cm²+48cm²+60cm²+96cm²+120cm²+72cm²+36cm²
sa=532cm² is the answer
hope it was helpful.
please mark brainliest
Chelsea is trying to determine which cell phone company is best. Company A charges a base fee of $25 and $0.05 per minute. Company B charges a flat monthly fee of $40. write an equation to determine the time in minutes that results in the same monthlt cost for both companies.
Answer:
If Chelsea uses more then 300 minutes a month then company B, if not she should chose company A
Step-by-step explanation:
40-25=15
15/0.05=300
What is the inequality shown?
Answer:
See below.
Step-by-step explanation:
The inequality is a range, since there is no line going one way, but two points on either side of the line.
-4<x≥5(Or -4<0≥5, can't remember the format)
-hope it helps
please help i’ll mark brainliest
Answer:
13 cubes
Step-by-step explanation:
cube is a 3D square basically
so you can do the volume
2 * 1 * 7/4
14/4
14/4 and you divide it by 1/4
14/4 ÷ 1/4 or 14/4 * 4/1
52/4
13 cubes
Answer:
224 cubes to fill the entire prism.
Step-by-step explanation:
recall rectangular prism volume: length * breadth * heightrecall cube volume: length³using the formula:
full prism volume: 2 * [tex]\frac{7}{4}[/tex] * 1 = 3.5 cm³
volume of single cube: ([tex]\frac{1}{4}[/tex])³ = [tex]\frac{1}{64}[/tex] cm³
so ? cubes to fill: 3.5 / [tex]\frac{1}{64}[/tex] = 224 cubes.