Answer:
58
Step-by-step explanation:
Prime Numbers = 2+3+5+7+11+13+17
= 58
Serena makes $9 per hour cutting lawns. Each day, she earns about $15 in tips. If Serena made no less than $110 on Monday, which inequality represents h, the number of hours she worked on Monday? 15 h + 9 less-than-or-equal-to 110 15 h + 9 greater-than-or-equal-to 110 9 h + 15 greater-than-or-equal-to 110 9 h + 15 less-than 110
Answer: 9h+15 > 110
Step-by-step explanation: ed 2020
Name a line by any two points on the line, or a lowercase script letter.
Answer:
Step-by-step explanation: A B
Lines can be named using any two points on the line or using a single cusive lowercase letter.
plz help!!
solve for h: V= 1/3πr²h
solve for b: a=2(b-c)
solve for y: w=3x+7y
Answer:
1)[tex]h = \frac{3V}{\pi {r}^{2} }[/tex]
2)[tex]b = \frac{a}{2} + 2[/tex]
3)[tex]y = \frac{w - 3x}{7} [/tex]
Step-by-step explanation:
1)[tex]V= \frac{1}{3} \pi {r}^{2} h[/tex]
[tex] = > V = \frac{ \pi {r}^{2} h}{3} [/tex]
[tex] = > 3V = \pi {r}^{2} h[/tex]
[tex] = > h = \frac{3V}{\pi {r}^{2} } [/tex]
2)[tex]a=2(b-c)[/tex]
[tex] = > \frac{a}{2} = b - c[/tex]
[tex] = > b = \frac{a}{2} + c[/tex]
3)[tex]w=3x+7y[/tex]
[tex] = > w - 3x = 7y[/tex]
[tex] = > y = \frac{w - 3x}{7} [/tex]
A bag contains colored tiles.
• 3 tiles are red
• 6 tiles are green
• 3 tiles are blue
A tile will be randomly selected from the bag.What is the probability in decimal form that the tile selected will
be green?
0.5 or 50% because there are 12 tiles and 6 are green. 6/12 probability simplifies to 1/2 = 0.5 = 50%
A car's rear windshield wiper rotates 140°. The total length of the wiper mechanism is 24 inches and the length of the wiper blade is 16 inches. Find the area wiped by the wiper blade. (Round your answer to one decimal place.)
Answer:
312.7 in^2Step-by-step explanation:
This problem is on the mensuration of flat shapes, sectors and arc.
we know that the area of a sector is given as
A=(∅/360)*πr^2
Given that the length of the wiper R=24 in
and the length of the blade r= 16in
To find the area of the wiped surface we only require the length of the blade as the radius
The area of the wiped surface is given as= (140/360)*3.142*16^2
A= 0.3888*3.142*256
A=312.7 in^2
Suppose you have a sample of 35 children with antisocial tendencies and you are particularly interested in the emotion of surprise. You find that while the average 10 year old has a score of 13.10 on the emotion recognition scale, your sample of 10 year old children with antisocial tendencies has an average score of 14.35 with a standard deviation of 4.63. A higher score represents that it took a higher degree of emotional expression for the child to correctly identify the emotion of surprise, indicating greater difficulty recognizing the emotion. Assume that scores on the emotion recognition scale are normally distributed.
The null hypothesis is that your sample of children with antisocial tendencies would have no more difficulty recognizing emotion than the general population of 10-year olds. Stated using symbols:_________________
(a). this is a ______
(b) tailed test. Given what you know, you will evalute this hypothesis using a _____
(c) statistic.In order to use the t distribution, you will first need to determine the degrees of freedom
(df) for alpha=.05. The degrees of freedom is: _____
(d). The critical value of t is:_____
(e) Calculate the t statistics. To do this, you will first have to calculate the estimated standard error. The estimated standard error is ____
(f). The t statistic is _____
(g). (Hint: for the most precise results, retain four significant figures from your calculation of the standard error to calculate the t statistic.)
The t statistic ______
(h) lie in the critical region. Therefore, you ____
(i) reject the null hypothesis.
Based on the results of this test, there ____
(j) enough evidence to conclude that children with antisocial tendencies have greater difficulty recognizing surprise than do children without antisocial tendencies:
Options for b: two- or one-
Options for c: z or t
Options for d: 33, 34, 35, 36
Options for e: .549, 2.032, 1.691, 1.645
Options for f: 0.38, 4.63, 0.78, 35
Options for g: 2.45, 1.60, 3.19, 3.30
Options for h: does not OR does
Options for i: cannot OR can
Options for j: is OR is not
Answer and explanation:
Please find explanation attached
A rectangular box with a depth of 10 inches and a square base is to be manufactured by the Bold Box Company. The top of the box costs $1.20 per square inch, the bottom costs $.95 per square inch and the sides cost $.75 per square inch. Express the cost of manufacturing this box as a function of length.
Answer:
The cost function of manufacturing this box is:
[tex]C_{T} = 2.15\cdot x^{2}+30\cdot x[/tex], where [tex]x[/tex] is the length of the box, measured in US dollars.
Step-by-step explanation:
From the statement we know that:
1) The box has a square base ([tex]w = l = x[/tex]).
2) The box has a depth of 10 inches ([tex]h = 10\,in[/tex]).
3) The cost of manufacturing the top of the box is $ 1.20 per square inch.
4) The cost of manufacturing the bottom of the box is $ 0.95 per square inch.
5) The cost of manufacturing each side of the box is $ 0.75 per square inch.
The total cost of manufacturing the box is:
[tex]C_{T} =C_{bottom} + C_{top} + 4\cdot C_{side}[/tex]
Where:
[tex]C_{bottom}[/tex] - Cost of the bottom of the box, measured in US dollars.
[tex]C_{top}[/tex] - Cost of the top of the box, measured in US dollars.
[tex]C_{side}[/tex] - Cost of the side of the box, measured in US dollars.
Dimensionally, cost equals unit cost, measured in US dollars by square inch, multiplied by surface area, measured in square inches. Now, the expression is expanded:
[tex]C_{T} = c_{bottom}\cdot x^{2}+c_{top}\cdot x^{2}+4\cdot c_{side}\cdot h\cdot x[/tex]
[tex]C_{T} =(c_{bottom}+c_{top})\cdot x^{2}+4\cdot c_{side}\cdot h \cdot x[/tex]
If we know that [tex]c_{bottom} = \$\,0.95\,in^{-2}[/tex], [tex]c_{top} = \$\,1.20\,in^{-2}[/tex], [tex]c_{side} = \$\,0.75\,in^{-2}[/tex] and [tex]h = 10\,in[/tex], the cost function of manufacturing this box is:
[tex]C_{T} = 2.15\cdot x^{2}+30\cdot x[/tex], where [tex]x[/tex] is the length of the box, measured in US dollars.
I can go alone and fly and get 20% off
the regular round-trip fare of $380.
I will have to take a taxi to and
from the college at a cost of $6.30 per
trip. I will have to be on compus
for 2 extra meals at a cost of $4.75 per
meal, and I will need to make
telephone calls to my parents at a cost
of $15.
What is the price of the student round-trip fare?. What is the total cost of the taxi fare?. What is the total cost to visit the college
Stephen Curry plays for the Golden Gate Warriors and touts a 90% free throw shooting record. If he shot 12 free throws in a game, approximately how many did he miss?
Answer:
10
Step-by-step explanation:
Because it is 90% and he shots 12 how much fat away is 90 for 100 it is 10
is this a function or not a function (2,5), (4, -2), (3,3), (5,4), (-2,5)
Answer:
Yes, it is a function
Step-by-step explanation:
A function is where there is no two of the same domain.
The domain is the first coordinate.
Hope This Helps :)
Answer: function
Step-by-step explanation:
I need help if anyone can help me and explain it how to do it
Step-by-step explanation:
h(x) = f(g(x)), so h(x) is the same as g(x) substituted into f(x).
In this case, we can say f(x) = √x, and g(x) = 5x + 30.
f(g(x)) = √(5x + 30)
what is the value of x
Answer:
X=70
Step-by-step explanation:
Interior angles of parallel line sum up to be 180° so:
45+(2x-5)=180
45+2x=185
2x=140
x=70
A 35-foot ladder is leaning against the side of a building and is positioned such that the base of the ladder is 21 feet from the base of the building. How far above the ground is the point where the ladder touches the building?
It is 28 feet far above form the ground.
1225=441+B^2
1225-441=B^2
784=B^2
√784=√B^2
28=B
B=28 feet
What is the area of the figure below
Answer:
22cm
Step-by-step explanation:
7+3=10
10+8=18
18+4=22
Tthe diagonals of a rectangle are twice as long as the shorter sides. calculate the angle between a diagonal and a short side.
Answer:
30°
Step-by-step explanation:
Let the length of shorter side of rectangle be x units.
Therefore, length of diagonal = 2x
In order to calculate the angle between a diagonal and a short side, we need to find the sin ratio of shorter side and diagonal of rectangle.
Let the measure of angle formed between shorter side and diagonal be [tex] \theta [/tex].
[tex] \therefore \sin \: \theta = \frac{x}{2x} \\ \\ \therefore \sin \: \theta = \frac{1}{2} \\ \\\therefore\sin \: \theta = \sin \: 30 \degree \\ ( \because \: \sin \: 30 \degree = \frac{1}{2}) \\ \implies \: \huge \red{ \boxed{\therefore\theta = 30 \degree }}[/tex]
April has $3.65 in quarters and nickels in her car. The number of nickels is thirteen more than the numbers of quarters. How many of each type of coins does she have?
Answer:
hi
Step-by-step explanation:
Answer:
you multiple what April has
Problem Solving Skills
Answer the questions below. Use the Problem Solving Skills that we discussed in class.
Look back in your notebook if you need a reminder.
7) Suppose that x and y are rational numbers such that x >y. Which of the following
inequalities must be true?
A. (x/>ly/
B. X'>y'
C. x+y > 0
D. X-y> 0
Answer:i think the answer is A(x/.ly/
Step-by-step explanation:
Answer:
D. x - y > 0
Step-by-step explanation:
Given:
x > y
Solution:
x - y > y - y . . . . . subtract y from both sides
x - y > 0 . . . . matches choice D
At the beginning pf the week , naveen had 87 trading cards. On monday he gets 9 more on tuesday he foves 16 away on wensday he us given 3 by a friend on thrusday he sells all of his cards to a collecter the coolecter pays him arate of c for every card that naveen has. If naveen earns 124.50 from the sale what is c the rate that the collecter pays for each card
Given vertex form, how do you think changing the value
of "h" will transform the parent function (y = x²).
The perimeter of a rectangle is represented by the expression 2 (3x + 1) + 22.
Choose whether the sum is positive, negative,
or zero.
-3 + 3 is
The answer is zero
-n+n=0 Always
answer me fast plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
Shaniqua has a piece of red scrapbooking ribbon that is 2.715 inches long. She also has a piece of pink ribbon that is 3.154 inches long. How much longer is the pink ribbon than the red ribbon?
thank you
Answer:
0.439 in.
Step-by-step explanation:
This is a subtraction problem.
3.154 in. - 2.715 in. = 0.439 in.
Answer:
.439
Step-by-step explanation:
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given f(7)=4, f'(7)=10, g(7)=-1, g'(7)=8, find the values of the following: 1. (fg)'(7) = 2. (f/g)'(7) =
By the product rule,
[tex](fg)'=f'g+fg'[/tex]
so that
[tex](fg)'(7)=f'(7)g(7)+f(7)g'(7)=10\cdot(-1)+4\cdot8=22[/tex]
By the quotient rule,
[tex]\left(\dfrac fg\right)'=\dfrac{f'g-fg'}{g^2}[/tex]
so that
[tex]\left(\dfrac fg\right)'(7)=\dfrac{f'(7)g(7)-f(7)g'(7)}{g(7)^2}=\dfrac{10\cdot(-1)-4\cdot8}{(-1)^2}=-42[/tex]
Fifteen greater than y is at least 150
Answer:
y ≥ 135 or
y is at least 135
Step-by-step explanation:
Fifteen greater than y is at least 150
y + 15 ≥ 150y + 15 - 15 ≥ 150 - 15y ≥ 135Which means: y is at least 135
Help! I need help with question 2 and 3. Thanks.
Answer:
Answer: SW IS 1.5 OKKKKKKKKK
There are 230 calories in a 48 g packet of M& M's. How many calories are in a 9.6 g bag?
Answer:
The answer is
46 caloriesStep-by-step explanation:
In order to solve this question we use ratio and proportion
From the question there are 230 calories in 48g of M & M's
That's
If in 48g of M & M's we have 230 calories
9.6 g will contain
[tex] \frac{9.6 \times 230}{48} \\ = \frac{2208}{48} [/tex]
We have the final answer as
46 calories
Hope this helps you
Help please thanks.
Answer:
Step-by-step explanation:
[tex]\sqrt{1}[/tex] -2 / 6 = (1-2)/6= -1/6= .2 (rounded to tenth)
1. Is a blender a convection,conduction,or a radiation? please help
Answer:
Convection! :)
Step-by-step explanation:
z is less than or equal to six
Answer:
z ≤ 6
Explanation:
z is less than or equal to: z ≤
z is less than or equal to six: z ≤ 6
help me please this is due today!!!!!